ModeLang: a new approach for experts-friendly viral infections modeling.

PubMed

Wasik, Szymon; Prejzendanc, Tomasz; Blazewicz, Jacek

2013-01-01

Computational modeling is an important element of systems biology. One of its important applications is modeling complex, dynamical, and biological systems, including viral infections. This type of modeling usually requires close cooperation between biologists and mathematicians. However, such cooperation often faces communication problems because biologists do not have sufficient knowledge to understand mathematical description of the models, and mathematicians do not have sufficient knowledge to define and verify these models. In many areas of systems biology, this problem has already been solved; however, in some of these areas there are still certain problematic aspects. The goal of the presented research was to facilitate this cooperation by designing seminatural formal language for describing viral infection models that will be easy to understand for biologists and easy to use by mathematicians and computer scientists. The ModeLang language was designed in cooperation with biologists and its computer implementation was prepared. Tests proved that it can be successfully used to describe commonly used viral infection models and then to simulate and verify them. As a result, it can make cooperation between biologists and mathematicians modeling viral infections much easier, speeding up computational verification of formulated hypotheses.

ModeLang: A New Approach for Experts-Friendly Viral Infections Modeling

PubMed Central

Blazewicz, Jacek

2013-01-01

Computational modeling is an important element of systems biology. One of its important applications is modeling complex, dynamical, and biological systems, including viral infections. This type of modeling usually requires close cooperation between biologists and mathematicians. However, such cooperation often faces communication problems because biologists do not have sufficient knowledge to understand mathematical description of the models, and mathematicians do not have sufficient knowledge to define and verify these models. In many areas of systems biology, this problem has already been solved; however, in some of these areas there are still certain problematic aspects. The goal of the presented research was to facilitate this cooperation by designing seminatural formal language for describing viral infection models that will be easy to understand for biologists and easy to use by mathematicians and computer scientists. The ModeLang language was designed in cooperation with biologists and its computer implementation was prepared. Tests proved that it can be successfully used to describe commonly used viral infection models and then to simulate and verify them. As a result, it can make cooperation between biologists and mathematicians modeling viral infections much easier, speeding up computational verification of formulated hypotheses. PMID:24454531

The Power of Concept Fields

ERIC Educational Resources Information Center

Stoyanova, Elena

2008-01-01

The ability to discover, explore, describe and mathematise relationships between different concepts is at the heart of scientific work of professional mathematicians and scientists. At school level, however, helping students to link, differentiate or investigate the nature of relationships between mathematics concepts remains in the shadow of…

The Evaluation of Project SEED, 1990-91.

ERIC Educational Resources Information Center

Webster, William J.; Chadbourn, Russell A.

Project Special Elementary Education for the Disadvantaged (SEED) is a national program in which professional mathematicians and scientists from universities and industry teach abstract, conceptually oriented mathematics to full-sized classes of elementary school children as a supplement to their regular mathematics instruction. In the Dallas…

Methodologies for Optimum Capital Expenditure Decisions for New Medical Technology

PubMed Central

Landau, Thomas P.; Ledley, Robert S.

1980-01-01

This study deals with the development of a theory and an analytical model to support decisions regarding capital expenditures for complex new medical technology. Formal methodologies and quantitative techniques developed by applied mathematicians and management scientists can be used by health planners to develop cost-effective plans for the utilization of medical technology on a community or region-wide basis. In order to maximize the usefulness of the model, it was developed and tested against multiple technologies. The types of technologies studied include capital and labor-intensive technologies, technologies whose utilization rates vary with hospital occupancy rate, technologies whose use can be scheduled, and limited-use and large-use technologies.

Harvard, Wisconsin Programs Aim to Improve Science Education.

ERIC Educational Resources Information Center

Krieger, James

1983-01-01

Describes two programs to improve science education. Harvard University will provide a teacher training program for mid- to late-career mathematicians/scientists in industry and will provide inservice programs for current science/mathematics teachers. University of Wisconsin's program involves a national institute to foster research in chemical…

The Evaluation of Project SEED, 1989-90.

ERIC Educational Resources Information Center

Webster, William J.; Chadbourn, Russell A.

Project Special Elementary Education for the Disadvantaged (Project SEED) is a nationwide program in which mathematicians and scientists from academia and industry teach abstract, conceptually oriented mathematics to full-sized classes of elementary school students as a supplement to their regular arithmetic classes. A Socratic group-discovery…

Computing Logarithms by Hand

ERIC Educational Resources Information Center

Reed, Cameron

2016-01-01

How can old-fashioned tables of logarithms be computed without technology? Today, of course, no practicing mathematician, scientist, or engineer would actually use logarithms to carry out a calculation, let alone worry about deriving them from scratch. But high school students may be curious about the process. This article develops a…

Kentucky's New Contribution to the Global Community

ERIC Educational Resources Information Center

Gott, Tim

2007-01-01

Throughout the United States, legislators, business leaders, educators, and other stakeholders are debating the impending crisis of the shortage of mathematicians and scientists in the United States. Several books, such as Thomas Friedman's "The World Is Flat" and Ted Fishman's "China, Inc.," accentuate this growing dilemma.…

How to Build Schools Where Adults Learn

ERIC Educational Resources Information Center

Fahey, Kevin; Ippolito, Jacy

2014-01-01

In the current, very complex, and even conflicted discourse about schools, one thing is clear: Schools need to be about student learning. Schools need to ensure that students are good readers, proficient writers, capable mathematicians, competent scientists, and knowledgeable historians. Students also need to learn to work together, be healthy, be…

Data in the Cloud

ERIC Educational Resources Information Center

Bull, Glen; Garofalo, Joe

2010-01-01

The ability to move from one representation of data to another is one of the key characteristics of expert mathematicians and scientists. Cloud computing will offer more opportunities to create and display multiple representations of data, making this skill even more important in the future. The advent of the Internet led to widespread…

Bernoulli's Principle: Science as a Human Endeavor

ERIC Educational Resources Information Center

McCarthy, Deborah

2008-01-01

What do the ideas of Daniel Bernoulli--an 18th-century Swiss mathematician, physicist, natural scientist, and professor--and your students' next landing of the space shuttle via computer simulation have in common? Because of his contribution, referred in physical science as Bernoulli's principle, modern flight is possible. The mini learning-cycle…

Computer Art--A New Tool in Advertising Graphics.

ERIC Educational Resources Information Center

Wassmuth, Birgit L.

Using computers to produce art began with scientists, mathematicians, and individuals with strong technical backgrounds who used the graphic material as visualizations of data in technical fields. People are using computer art in advertising, as well as in painting; sculpture; music; textile, product, industrial, and interior design; architecture;…

Transformational Play: Using Games to Position Person, Content, and Context

ERIC Educational Resources Information Center

Barab, Sasha A.; Gresalfi, Melissa; Ingram-Goble, Adam

2010-01-01

Videogames are a powerful medium that curriculum designers can use to create narratively rich worlds for achieving educational goals. In these worlds, youth can become scientists, doctors, writers, and mathematicians who critically engage complex disciplinary content to transform a virtual world. Toward illuminating this potential, the authors…

Analogy and Intersubjectivity: Political Oratory, Scholarly Argument and Scientific Reports.

ERIC Educational Resources Information Center

Gross, Alan G.

1983-01-01

Focuses on the different ways political oratory, scholarly argument, and scientific reports use analogy. Specifically, analyzes intersubjective agreement in Franklin D. Roosevelt's First Inaugural address, the scholarly argument between Sir Karl Popper and Thomas S. Kuhn, and the scientific reports of various mathematicians and scientists. (PD)

Is Learning Data in the Right Shape?

ERIC Educational Resources Information Center

Kelly, Anthony E.

2017-01-01

In this short thought-piece, I attempt to capture the type of freewheeling discussions I had with our late colleague, Mika Seppälä, a research mathematician from Helsinki. Mika, not being a psychometrician or learning scientist, was blissfully free from the design constraints that experts sometimes ingest, unwittingly. I also draw on delightful…

Opening Real Science: Evaluation of an Online Module on Statistical Literacy for Pre-Service Primary Teachers

ERIC Educational Resources Information Center

Bilgin, Ayse Aysin Bombaci; Date-Huxtable, Elizabeth; Coady, Carmel; Geiger, Vincent; Cavanagh, Michael; Mulligan, Joanne; Petocz, Peter

2017-01-01

Opening Real Science (ORS) is a three-year government initiative developed as part of the Mathematics and Science Teachers program. It is a collaboration across universities involving teacher educators, scientists, mathematicians, statisticians and educational designers aimed at improving primary and secondary pre-service teachers' competence and…

Creating Mathematicians and Scientists: Disciplinary Literacy in the Early Childhood Classroom

ERIC Educational Resources Information Center

Mongillo, Maria Boeke

2017-01-01

Disciplinary literacy focuses on the specific ways a content area thinks, uses language, and shares information. While much of the literature on disciplinary literacy suggests it is an advanced language strategy to be taught to secondary students, early childhood classrooms may be the ideal environment in which to introduce this type of…

Educated in Romance. Women, Achievement, and College Culture.

ERIC Educational Resources Information Center

Holland, Dorothy C.; Eisenhart, Margaret A.

This ethnographic study investigated why so few women become scientists or mathematicians. The study followed the lives of two groups of women, one black and one white, all with strong academic records, who were attending two southern U.S. universities, one predominantly black and the other predominantly white. The study was initiated in 1979 when…

Selected Issues Facing U.S. Graduate Education.

ERIC Educational Resources Information Center

Neal, Homer A.

Three issues are discussed that relate to (1) the need for the United States to become more technologically competitive and more daring in ways to produce, nurture and encourage high quality research and (2) the state of the talent pool that must produce the scientists, mathematicians and engineers to do this research. The first issue concerns…

Designing Online Learning for Developing Pre-Service Teachers' Capabilities in Mathematical Modelling and Applications

ERIC Educational Resources Information Center

Geiger, Vince; Date-Huxtable, Liz; Ahlip, Rehez; Herberstein, Marie; Jones, D. Heath; May, E. Julian; Rylands, Leanne; Wright, Ian; Mulligan, Joanne

2016-01-01

The purpose of this paper is to describe the processes utilised to develop an online learning module within the Opening Real Science (ORS) project--"Modelling the present: Predicting the future." The module was realised through an interdisciplinary collaboration, among mathematicians, scientists and mathematics and science educators that…

The Multiple Pendulum Problem via Maple[R

ERIC Educational Resources Information Center

Salisbury, K. L.; Knight, D. G.

2002-01-01

The way in which computer algebra systems, such as Maple, have made the study of physical problems of some considerable complexity accessible to mathematicians and scientists with modest computational skills is illustrated by solving the multiple pendulum problem. A solution is obtained for four pendulums with no restriction on the size of the…

The National Defense Education Act, Current STEM Initiative, and the Gifted

ERIC Educational Resources Information Center

Jolly, Jennifer L.

2009-01-01

During the past several years, much discussion has focused on developing America's future scientists, technologists, engineers, and mathematicians (STEM) in order to remain viable and competitive in a growing global economy. In retrospect, America has had a long-standing involvement with STEM issues that dates back to the establishment of West…

Scientists and Mathematicians Collaborating to Build Quantitative Skills in Undergraduate Science

ERIC Educational Resources Information Center

Rylands, Leanne; Simbag, Vilma; Matthews, Kelly E.; Coady, Carmel; Belward, Shaun

2013-01-01

There is general agreement in Australia and beyond that quantitative skills (QS) in science, the ability to use mathematics and statistics in context, are important for science. QS in the life sciences are becoming ever more important as these sciences become more quantitative. Consequently, undergraduates studying the life sciences require better…

Integrating Literacy, Math, and Science to Make Learning Come Alive

ERIC Educational Resources Information Center

Bintz, William P.; Moore, Sara D.; Hayhurst, Elaine; Jones, Rubin; Tuttle, Sherry

2006-01-01

In this article, the authors who are an interdisciplinary team of middle school educators collaboratively developed and implemented an interdisciplinary unit designed to help middle school students: (1) think like mathematicians and scientists; (2) develop specific areas of expertise in math and science; and (3) use literature as a tool to learn…

Cultivating Critique: A (Humanoid) Response to the Online Teaching of Critical Thinking

ERIC Educational Resources Information Center

Waggoner, Matt

2013-01-01

The Turing era, defined by British mathematician and computer science pioneer Alan Turing's question about whether or not computers can think, is not over. Philosophers and scientists will continue to haggle over whether thought necessitates intentionality, and whether computation can rise to that level. Meanwhile, another frontier is emerging in…

Developing Data System Engineers

NASA Astrophysics Data System (ADS)

Behnke, J.; Byrnes, J. B.; Kobler, B.

2011-12-01

In the early days of general computer systems for science data processing, staff members working on NASA's data systems would most often be hired as mathematicians. Computer engineering was very often filled by those with electrical engineering degrees. Today, the Goddard Space Flight Center has special position descriptions for data scientists or as they are more commonly called: data systems engineers. These staff members are required to have very diverse skills, hence the need for a generalized position description. There is always a need for data systems engineers to develop, maintain and operate the complex data systems for Earth and space science missions. Today's data systems engineers however are not just mathematicians, they are computer programmers, GIS experts, software engineers, visualization experts, etc... They represent many different degree fields. To put together distributed systems like the NASA Earth Observing Data and Information System (EOSDIS), staff are required from many different fields. Sometimes, the skilled professional is not available and must be developed in-house. This paper will address the various skills and jobs for data systems engineers at NASA. Further it explores how to develop staff to become data scientists.

Both Perelmans Thrown Down Gauntlets Versus Would-Be ``Science'' But Alas Sadly Mere ``SEANCES'' Put Jargonial-Obfuscation Sociological-Dysfunctionality(S-D) Ridden/Dominated Would-Be ``Sciences'' But Alas Sadly Mere SEANCES in ``Peril, Man''!!!

NASA Astrophysics Data System (ADS)

Carlson, J.; Young, F.; Clay, London; Siegel, Edward Carl-Ludwig (Physical-Mathematicist/Mathsicist)

2011-03-01

Both Perelman (Grigory[Poincare-conjecture: partial(with Richard Hamilton!!!)-"sole"-prover: by turning down first the Fields Medal at International Congress of [S-D right there: not mathematICS, but mathematicIANS!!!] Mathematicians (2007: Madrid); then the million-dollar Clay-Institute of Mathemat"ICS" (but really mathematicIANS POLITICIANS: Carlson, Yau,...et. al.) millennium-problem prize, revealing that it and its INSIDER POLITICS/POLITICIANS has/have "Feet of Clay"!!!], as sumarized by Naser-Gruber[Manfold-Destiny, The New Yorker, (August, 2007)] and separately Carlos Castro[with Corredoira: Against the Tid (2008)] put, by revealing the Jargonial-Obfuscation(J.-O.) (Bradshaw[Healing the SHAME that BINDS You, Hazelden(1980s)]-Martin[Brian, Wollongong University]-...ad INFINITUM (i.e. most if not all scientists), ad NAUSEUM!!! (disgusted with "games people play!!!)) S-D ridden/ dominated "games people play" would-be "sciences" (maths, physics,...: ad infinitum; ad NAUSEUM!!!) but alas sadly only mere Bradshaw-Martin S-D DOMINATED "SEANCES"!!!, in "peril, man"!!!

Grand minima of solar activity and sociodynamics of culture

NASA Astrophysics Data System (ADS)

Vladimirsky, B. M.

2012-12-01

Indices of creative productivity introduced by C. Murrey were used to verify S. Ertel's conclusion about a global increase in creative productivity during the prolonged minimum of solar activity in 1640-1710. It was found that these indices for mathematicians, philosophers, and scientists increase in the Maunder era by factor of 1.6 in comparison with intervals of the same length before and after the minimum. A similar effect was obtained for mathematicians and philosophers for five earlier equitype minima in total (an increase by a factor of 1.9). The regularity that is revealed is confirmed by the fact that the most important achievements of high-ranking mathematicians and philosophers during the whole time period (2300 years) considered in this study fall on epochs of reduced levels of solar activity. The rise in the probability of the generation of rational ideas during grand minima is reflected also in the fact that they precede the appearance of written language and farming. Ultra-low-frequency electromagnetic fields appear to serve as a physical agent stimulating the activity of the brain's left hemisphere during the epochs of minima.

Where's Spot? Finding STEM Opportunities for Young Children in Moments of Dramatic Tension

ERIC Educational Resources Information Center

McClure, Elisabeth; Guernsey, Lisa; Ashbrook, Peggy

2017-01-01

The potential for integrated science, technology, engineering, and math (STEM) learning really is all around us. The moments of intense drama children experience when they test out a new design are the engines that drive STEM practices; it's what keeps scientists, programmers, engineers, and mathematicians up at night, wanting to try "just…

An Interdisciplinary Approach to Designing Online Learning: Fostering Pre-Service Mathematics Teachers' Capabilities in Mathematical Modelling

ERIC Educational Resources Information Center

Geiger, Vince; Mulligan, Joanne; Date-Huxtable, Liz; Ahlip, Rehez; Jones, D. Heath; May, E. Julian; Rylands, Leanne; Wright, Ian

2018-01-01

In this article we describe and evaluate processes utilized to develop an online learning module on mathematical modelling for pre-service teachers. The module development process involved a range of professionals working within the STEM disciplines including mathematics and science educators, mathematicians, scientists, in-service and pre-service…

Increased gray matter density in the parietal cortex of mathematicians: a voxel-based morphometry study.

PubMed

Aydin, K; Ucar, A; Oguz, K K; Okur, O O; Agayev, A; Unal, Z; Yilmaz, S; Ozturk, C

2007-01-01

The training to acquire or practicing to perform a skill, which may lead to structural changes in the brain, is called experience-dependent structural plasticity. The main purpose of this cross-sectional study was to investigate the presence of experience-dependent structural plasticity in mathematicians' brains, which may develop after long-term practice of mathematic thinking. Twenty-six volunteer mathematicians, who have been working as academicians, were enrolled in the study. We applied an optimized method of voxel-based morphometry in the mathematicians and the age- and sex-matched control subjects. We assessed the gray and white matter density differences in mathematicians and the control subjects. Moreover, the correlation between the cortical density and the time spent as an academician was investigated. We found that cortical gray matter density in the left inferior frontal and bilateral inferior parietal lobules of the mathematicians were significantly increased compared with the control subjects. Furthermore, increase in gray matter density in the right inferior parietal lobule of the mathematicians was strongly correlated with the time spent as an academician (r = 0.84; P < .01). Left-inferior frontal and bilateral parietal regions are involved in arithmetic processing. Inferior parietal regions are also involved in high-level mathematic thinking, which requires visuospatial imagery, such as mental creation and manipulation of 3D objects. The voxel-based morphometric analysis of mathematicians' brains revealed increased gray matter density in the cortical regions related to mathematic thinking. The correlation between cortical density increase and the time spent as an academician suggests experience-dependent structural plasticity in mathematicians' brains.

Differential forms for scientists and engineers

NASA Astrophysics Data System (ADS)

Blair Perot, J.; Zusi, Christopher J.

2014-01-01

This paper is a review of a number of mathematical concepts from differential geometry and exterior calculus that are finding increasing application in the numerical solution of partial differential equations. The objective of the paper is to introduce the scientist/ engineer to some of these ideas via a number of concrete examples in 2, 3, and 4 dimensions. The goal is not to explain these ideas with mathematical precision but to present concrete examples and enable a physical intuition of these concepts for those who are not mathematicians. The objective of this paper is to provide enough context so that scientist/engineers can interpret, implement, and understand other works which use these elegant mathematical concepts.

Whatever happened to the 'mad, bad' scientist? Overturning the stereotype.

PubMed

Haynes, Roslynn D

2016-01-01

The cluster of myths relating to the pursuit of knowledge has perpetuated the archetype of the alchemist/scientist as sinister, dangerous, possibly mad and threatening to society's values. Shelley's Frankenstein provided imagery and a vocabulary universally invoked in relation to scientific discoveries and technological innovation. The reasons for the longevity of this seemingly antiquated, semiotic imagery are discussed. In the twenty-first century, this stereotype has been radically revised, even overturned. Scientists are now rarely objects of fear or mockery. Mathematicians, both real-life and fictional, are discussed here as being representative of scientists now depicted empathically. This article examines possible sociological reasons for this reversal; what the revisionist image suggests about society's changed attitudes to science; and what might be the substitute fears and sources of horror. © The Author(s) 2014.

Engineering Education in K-12 Schools

NASA Astrophysics Data System (ADS)

Spence, Anne

2013-03-01

Engineers rely on physicists as well as other scientists and mathematicians to explain the world in which we live. Engineers take this knowledge of the world and use it to create the world that never was. The teaching of physics and other sciences as well as mathematics is critical to maintaining our national workforce. Science and mathematics education are inherently different, however, from engineering education. Engineering educators seek to enable students to develop the habits of mind critical for innovation. Through understanding of the engineering design process and how it differs from the scientific method, students can apply problem and project based learning to solve the challenges facing society today. In this talk, I will discuss the elements critical to a solid K-12 engineering education that integrates science and mathematics to solve challenges throughout the world.

The Importance of Mathematical Models to Scientific Discovery: A Case Study on the Feeding Mechanism of the Goliath Grouper "Epinephelus itajara"

ERIC Educational Resources Information Center

Huber, Daniel; Jones, Leslie; Helminski, Christine

2015-01-01

The use of collaborative problem solving within mathematics education is imperative in this day and age of integrative science. The formation of interdisciplinary teams of mathematicians and scientists to investigate crucial problems is on the rise, as greater insight can be gained from an interdisciplinary perspective. Mathematical modelling, in…

Poles, Parking Lots, and Mount Piton: Classroom Activities that Combine Astronomy, History, and Mathematics

ERIC Educational Resources Information Center

Madden, Sean P.; Comstock, Jocelyn M.; Downing, James P.

2006-01-01

This article describes how a series of lessons might be used to allow students to discover the size of the Earth, the distance to the Moon, the size of the Moon, and the altitude of Mount Piton on the Moon. Measurement with a sextant, principles of geometry and trigonometry, and historically important scientists and mathematicians are discussed.

Methods of Mathematical and Computational Physics for Industry, Science, and Technology

NASA Astrophysics Data System (ADS)

Melnik, Roderick V. N.; Voss, Frands

2006-11-01

Many industrial problems provide scientists with important and challenging problems that need to be solved today rather than tomorrow. The key role of mathematical physics, modelling, and computational methodologies in addressing such problems continues to increase. Science has never been exogenous to applied research. Gigantic ships and steam engines, repeating catapult of Dionysius and the Antikythera `computer' invented around 80BC are just a few examples demonstrating a profound link between theoretical and applied science in the ancient world. Nowadays, many industrial problems are typically approached by groups of researchers who are working as a team bringing their expertise to the success of the entire enterprise. Since the late 1960s several groups of European mathematicians and scientists have started organizing regular meetings, seeking new challenges from industry and contributing to the solution of important industrial problems. In particular, this often took the format of week-long workshops originally initiated by the Oxford Study Groups with Industry in 1968. Such workshops are now held in many European countries (typically under the auspices of the European Study Groups with Industry - ESGI), as well as in Australia, Canada, the United States, and other countries around the world. Problems given by industrial partners are sometimes very difficult to complete within a week. However, during a week of brainstorming activities these problems inevitably stimulate developing fruitful new ideas, new approaches, and new collaborations. At the same time, there are cases where as soon as the problem is formulated mathematically, it is relatively easy to solve. Hence, putting the industrial problem into a mathematical framework, based on physical laws, often provides a key element to the success. In addition to this important first step, the value in such cases is the real, practical applicability of the results obtained for an industrial partner who presents the problem. Under both outlined scenarios, scientists and mathematicians are provided with an opportunity to challenge themselves with real-world problems and to work together in a team on important industrial issues. This issue is a result of selected contributions by participants of the meeting that took place in the Sønderborg area of Denmark, one of the most important centers for information technology, telecommunication and electronics in the country. The meeting was hosted by the University of Southern Denmark in a picturesque area of Southern Jutland. It brought together about 65 participants, among whom were professional mathematicians, engineers, physicists, and industrial participants. The meeting was a truly international one, with delegates from four major Danish Universities, the UK, Norway, Italy, Czech Republic, Turkey, China, Germany, Latvia, Canada, the United States, and Finland. Five challenging projects were presented by leading industrial companies, including Grundfos, Danfoss Industrial Control, Unisensor, and Danfoss Flow Division (now Siemens). The meeting featured also the Mathematics for Industry Workshop with several distinguished international speakers. This volume of Journal of Physics: Conference Series on `Methods of Mathematical and Computational Physics for Industry, Science, and Technology' contains contributions from some of the participants of the workshop as well as the papers produced as a result of collaborative efforts with the above mentioned industrial companies. We would like to thank all authors and participants for their contributions and for bearing with us during the review process and preparation of this issue. We thank also all our referees for their timely and detailed reports. The publication of the proceedings of this meeting in Denmark was delayed due to problems with a previous publisher. We are very grateful that Journal of Physics: Conference Series kindly agreed to publish the proceedings rapidly at this late stage. As industrial problems become increasingly multidisciplinary, their successful solutions are often contingent on effective collaborative efforts between scientists, mathematicians, industrialists, and engineers. This volume has provided several examples of such collaborative efforts in the context of real-world industrial problems along with the analysis of important physics-based mathematical models applicable in a range of industrial contexts. Roderick V N Melnik, Professor of Mathematical Modelling, Syddansk Universitet (Denmark) and Professor and Canada Research Chair, Wilfrid Laurier University, Waterloo, Canada E-mail: rmelnik@wlu.ca Frands Voss, Director of the Mads Clausen Institute, Syddansk Universitet (Denmark)

The role of mathematical models in understanding pattern formation in developmental biology.

PubMed

Umulis, David M; Othmer, Hans G

2015-05-01

In a Wall Street Journal article published on April 5, 2013, E. O. Wilson attempted to make the case that biologists do not really need to learn any mathematics-whenever they run into difficulty with numerical issues, they can find a technician (aka mathematician) to help them out of their difficulty. He formalizes this in Wilsons Principle No. 1: "It is far easier for scientists to acquire needed collaboration from mathematicians and statisticians than it is for mathematicians and statisticians to find scientists able to make use of their equations." This reflects a complete misunderstanding of the role of mathematics in all sciences throughout history. To Wilson, mathematics is mere number crunching, but as Galileo said long ago, "The laws of Nature are written in the language of mathematics[Formula: see text] the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word." Mathematics has moved beyond the geometry-based model of Galileo's time, and in a rebuttal to Wilson, E. Frenkel has pointed out the role of mathematics in synthesizing the general principles in science (Both point and counter-point are available in Wilson and Frenkel in Notices Am Math Soc 60(7):837-838, 2013). We will take this a step further and show how mathematics has been used to make new and experimentally verified discoveries in developmental biology and how mathematics is essential for understanding a problem that has puzzled experimentalists for decades-that of how organisms can scale in size. Mathematical analysis alone cannot "solve" these problems since the validation lies at the molecular level, but conversely, a growing number of questions in biology cannot be solved without mathematical analysis and modeling. Herein, we discuss a few examples of the productive intercourse between mathematics and biology.

The foundation: Mechanism, prediction, and falsification in Bayesian enactivism. Comment on "Answering Schrödinger's question: A free-energy formulation" by Maxwell James Désormeau Ramstead et al.

NASA Astrophysics Data System (ADS)

Allen, Micah

2018-03-01

In Isaac Asimov's science fiction classic, Foundation, fictional mathematician Hari Seldon applies his theory of psychohistory, a synthesis of psychology, history, and statistical physics, to predict that humanity will suffer a dark age lasting thirty millennia [1]. Although Seldon's psychohistory successfully predicts the future of human society, its basis in the physical law of mass action carries a limitation - it can only do so for sufficiently massive populations (i.e., billions of individuals), rendering it inert at an individual level. This limitation is of course a key source of dramatic tension in the series, in which the individual characters of Asimov's universe grapple with the challenges inherent to applying a lawlike theory of collective action to the constitutive individuals. To avert crisis, Seldon ultimately assembles the namesake Foundation, an interdisciplinary, intergalactic research centre bringing together various biological, physical, and social scientists who ultimately attempt to alter the predicted course of history.

Some remarks on the genesis of scalar-tensor theories

NASA Astrophysics Data System (ADS)

Goenner, Hubert

2012-08-01

Between 1941 and 1962, scalar-tensor theories of gravitation were suggested four times by different scientists in four different countries. The earliest originator, the Swiss mathematician W. Scherrer, was virtually unknown until now whereas the chronologically latest pair gave their names to a multitude of publications on Brans-Dicke theory. P. Jordan, one of the pioneers of quantum mechanics and quantum field theory, and Y. Thiry, known by his book on celestial mechanics, a student of the mathematician Lichnerowicz, complete the quartet. Diverse motivations for and conceptual interpretations of their theories will be discussed as well as relations among them. Also, external factors like language, citation habits, or closeness to the mainstream are considered. It will become clear why Brans-Dicke theory, although structurally a déjà-vu, superseded all the other approaches.

A Successful Program for Women Faculty and Graduate Students in Natural Sciences, Mathematics, and Engineering at the University of Nevada, Las Vegas.

ERIC Educational Resources Information Center

Rees, Margaret N. (Peg); Amy, Penny; Jacobson, Ellen; Weistrop, Donna E.

2000-01-01

Introduces a program initiated at the University of Nevada, Las Vegas to stimulate the retention and promotion of women scientists, mathematicians, and engineers and support women graduate students in the same fields. Results of the program suggest that such initiatives can increase the number of women in science, mathematics, and engineering.…

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

Rapper and Actor Daniel Curtis Lee performs during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

A group of Jet Propulsion Laboratory (JPL) engineers are recognized during the kick off of NASA's Summer of Innovation program at JPL in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

Jet Propulsion Laboratory Director Dr. Charles Elachi speaks with teachers and middle school students during the kick off of NASA's Summer of Innovation program at JPL in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

NASA astronaut Leland Melvin welcomes teachers and middle school students to the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

NASA Administrator Charles Bolden speaks with teachers and middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

NASA Administrator Charles Bolden signs autographs to middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

NASA astronaut Leland Melvin signs autographs to middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Formalizing an integrative, multidisciplinary cancer therapy discovery workflow

PubMed Central

McGuire, Mary F.; Enderling, Heiko; Wallace, Dorothy I.; Batra, Jaspreet; Jordan, Marie; Kumar, Sushil; Panetta, John C.; Pasquier, Eddy

2014-01-01

Although many clinicians and researchers work to understand cancer, there has been limited success to effectively combine forces and collaborate over time, distance, data and budget constraints. Here we present a workflow template for multidisciplinary cancer therapy that was developed during the 2nd Annual Workshop on Cancer Systems Biology sponsored by Tufts University, Boston, MA in July 2012. The template was applied to the development of a metronomic therapy backbone for neuroblastoma. Three primary groups were identified: clinicians, biologists, and scientists (mathematicians, computer scientists, physicists and engineers). The workflow described their integrative interactions; parallel or sequential processes; data sources and computational tools at different stages as well as the iterative nature of therapeutic development from clinical observations to in vitro, in vivo, and clinical trials. We found that theoreticians in dialog with experimentalists could develop calibrated and parameterized predictive models that inform and formalize sets of testable hypotheses, thus speeding up discovery and validation while reducing laboratory resources and costs. The developed template outlines an interdisciplinary collaboration workflow designed to systematically investigate the mechanistic underpinnings of a new therapy and validate that therapy to advance development and clinical acceptance. PMID:23955390

Preface: Current perspectives in modelling, monitoring, and predicting geophysical fluid dynamics

NASA Astrophysics Data System (ADS)

Mancho, Ana M.; Hernández-García, Emilio; López, Cristóbal; Turiel, Antonio; Wiggins, Stephen; Pérez-Muñuzuri, Vicente

2018-02-01

The third edition of the international workshop Nonlinear Processes in Oceanic and Atmospheric Flows was held at the Institute of Mathematical Sciences (ICMAT) in Madrid from 6 to 8 July 2016. The event gathered oceanographers, atmospheric scientists, physicists, and applied mathematicians sharing a common interest in the nonlinear dynamics of geophysical fluid flows. The philosophy of this meeting was to bring together researchers from a variety of backgrounds into an environment that favoured a vigorous discussion of concepts across different disciplines. The present Special Issue on Current perspectives in modelling, monitoring, and predicting geophysical fluid dynamics contains selected contributions, mainly from attendants of the workshop, providing an updated perspective on modelling aspects of geophysical flows as well as issues on prediction and assimilation of observational data and novel tools for describing transport and mixing processes in these contexts. More details on these aspects are discussed in this preface.

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

Performers from Los Angeles Hamilton High School's Kid Tribe entertain teachers and middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

A performer from Los Angeles Hamilton High School's Kid Tribe entertains teachers and middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

Teachers and middle school students react to performers from Los Angeles Hamilton High School's Kid Tribe during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

Julie Townsend, JPL Engineer, talks about her experiences to teachers and middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

Jet Propulsion Laboratory Manager of Elementary and Secondary Education David Seidel motivates teachers and middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

NASA Administrator Charles Bolden, center, listens as NASA astronaut Leland Melvin welcomes teachers and middle school students to the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

NASA astronaut Stephanie Wilson talks about her experiences to teachers and middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Control Circuitry for High Speed VLSI (Very Large Scale Integration) Winograd Fourier Transform Processors.

DTIC Science & Technology

1985-12-01

Office of Scientific Research , and Air Force Space Division are sponsoring research for the development of a high speed DFT processor. This DFT...to the arithmetic circuitry through a master/slave 11-15 %v OPR ONESHOT OUTPUT OUTPUT .., ~ INITIALIZATION COLUMN’ 00 N DONE CUTRPLANE PLAtNE Figure...Since the TSP is an NP-complete problem, many mathematicians, operations researchers , computer scientists and the like have proposed heuristic

The Role of Mathematical Models in Understanding Pattern Formation in Developmental Biology

PubMed Central

Umulis, David M.

2016-01-01

In a Wall Street Journal article published on April 5, 2013, E. O. Wilson attempted to make the case that biologists do not really need to learn any mathematics—whenever they run into difficulty with numerical issues, they can find a technician (aka mathematician) to help them out of their difficulty. He formalizes this in Wilsons Principle No. 1: “It is far easier for scientists to acquire needed collaboration from mathematicians and statisticians than it is for mathematicians and statisticians to find scientists able to make use of their equations.” This reflects a complete misunderstanding of the role of mathematics in all sciences throughout history. To Wilson, mathematics is mere number crunching, but as Galileo said long ago, “The laws of Nature are written in the language of mathematics…the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word.” Mathematics has moved beyond the geometry-based model of Galileo’s time, and in a rebuttal to Wilson, E. Frenkel has pointed out the role of mathematics in synthesizing the general principles in science (Both point and counter-point are available in Wilson and Frenkel in Notices Am Math Soc 60(7):837–838, 2013). We will take this a step further and show how mathematics has been used to make new and experimentally verified discoveries in developmental biology and how mathematics is essential for understanding a problem that has puzzled experimentalists for decades—that of how organisms can scale in size. Mathematical analysis alone cannot “solve” these problems since the validation lies at the molecular level, but conversely, a growing number of questions in biology cannot be solved without mathematical analysis and modeling. Herein, we discuss a few examples of the productive intercourse between mathematics and biology. PMID:25280665

Fusion Simulation Project Workshop Report

NASA Astrophysics Data System (ADS)

Kritz, Arnold; Keyes, David

2009-03-01

The mission of the Fusion Simulation Project is to develop a predictive capability for the integrated modeling of magnetically confined plasmas. This FSP report adds to the previous activities that defined an approach to integrated modeling in magnetic fusion. These previous activities included a Fusion Energy Sciences Advisory Committee panel that was charged to study integrated simulation in 2002. The report of that panel [Journal of Fusion Energy 20, 135 (2001)] recommended the prompt initiation of a Fusion Simulation Project. In 2003, the Office of Fusion Energy Sciences formed a steering committee that developed a project vision, roadmap, and governance concepts [Journal of Fusion Energy 23, 1 (2004)]. The current FSP planning effort involved 46 physicists, applied mathematicians and computer scientists, from 21 institutions, formed into four panels and a coordinating committee. These panels were constituted to consider: Status of Physics Components, Required Computational and Applied Mathematics Tools, Integration and Management of Code Components, and Project Structure and Management. The ideas, reported here, are the products of these panels, working together over several months and culminating in a 3-day workshop in May 2007.

Mathematics applied to the climate system: outstanding challenges and recent progress

PubMed Central

Williams, Paul D.; Cullen, Michael J. P.; Davey, Michael K.; Huthnance, John M.

2013-01-01

The societal need for reliable climate predictions and a proper assessment of their uncertainties is pressing. Uncertainties arise not only from initial conditions and forcing scenarios, but also from model formulation. Here, we identify and document three broad classes of problems, each representing what we regard to be an outstanding challenge in the area of mathematics applied to the climate system. First, there is the problem of the development and evaluation of simple physically based models of the global climate. Second, there is the problem of the development and evaluation of the components of complex models such as general circulation models. Third, there is the problem of the development and evaluation of appropriate statistical frameworks. We discuss these problems in turn, emphasizing the recent progress made by the papers presented in this Theme Issue. Many pressing challenges in climate science require closer collaboration between climate scientists, mathematicians and statisticians. We hope the papers contained in this Theme Issue will act as inspiration for such collaborations and for setting future research directions. PMID:23588054

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

Erin Gilbert, Director of Professional Development from the National Summer Learning Associations, motivates teachers and middle school students during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

SEIZURE PREDICTION: THE FOURTH INTERNATIONAL WORKSHOP

PubMed Central

Zaveri, Hitten P.; Frei, Mark G.; Arthurs, Susan; Osorio, Ivan

2010-01-01

The recently convened Fourth International Workshop on Seizure Prediction (IWSP4) brought together a diverse international group of investigators, from academia and industry, including epileptologists, neurosurgeons, neuroscientists, computer scientists, engineers, physicists, and mathematicians who are conducting interdisciplinary research on the prediction and control of seizures. IWSP4 allowed the presentation and discussion of results, an exchange of ideas, an assessment of the status of seizure prediction, control and related fields and the fostering of collaborative projects. PMID:20674508

Marketing and commercialization of computational research services.

DOE Office of Scientific and Technical Information (OSTI.GOV)

Toevs, J. W.

Physical and computational scientists and mathematicians in Russia's nuclear cities are turning their work toward generating profits from Western markets. Successful ventures require an understanding of the marketing of contract research as well as Western expectations regarding contract execution, quality, and performance. This paper will address fundamentals in business structure, marketing, and contract performance for organizations engaging in the marketing and commercialization of research services. Considerable emphasis will be placed on developing adequate communication within the organization.

A gathering for Gardner

NASA Astrophysics Data System (ADS)

Crease, Robert P.

2008-07-01

Martin Gardner, who turns 94 this autumn, seems to have pulled off an astounding trick. Every other year hundreds of people gather to honour Gardner, who is the author of over 70 books and wrote the popular "Mathematical Games" column that appeared in Scientific American for a quarter of a century from 1956. What is astonishing is that the people come from a bewildering variety of professions and include jugglers, magicians, artists, puzzle-makers, logicians, computer scientists, pseudoscience debunkers and mathematicians.

System biology of gene regulation.

PubMed

Baitaluk, Michael

2009-01-01

A famous joke story that exhibits the traditionally awkward alliance between theory and experiment and showing the differences between experimental biologists and theoretical modelers is when a University sends a biologist, a mathematician, a physicist, and a computer scientist to a walking trip in an attempt to stimulate interdisciplinary research. During a break, they watch a cow in a field nearby and the leader of the group asks, "I wonder how one could decide on the size of a cow?" Since a cow is a biological object, the biologist responded first: "I have seen many cows in this area and know it is a big cow." The mathematician argued, "The true volume is determined by integrating the mathematical function that describes the outer surface of the cow's body." The physicist suggested: "Let's assume the cow is a sphere...." Finally the computer scientist became nervous and said that he didn't bring his computer because there is no Internet connection up there on the hill. In this humorous but explanatory story suggestions proposed by theorists can be taken to reflect the view of many experimental biologists that computer scientists and theorists are too far removed from biological reality and therefore their theories and approaches are not of much immediate usefulness. Conversely, the statement of the biologist mirrors the view of many traditional theoretical and computational scientists that biological experiments are for the most part simply descriptive, lack rigor, and that much of the resulting biological data are of questionable functional relevance. One of the goals of current biology as a multidisciplinary science is to bring people from different scientific areas together on the same "hill" and teach them to speak the same "language." In fact, of course, when presenting their data, most experimentalist biologists do provide an interpretation and explanation for the results, and many theorists/computer scientists aim to answer (or at least to fully describe) questions of biological relevance. Thus systems biology could be treated as such a socioscientific phenomenon and a new approach to both experiments and theory that is defined by the strategy of pursuing integration of complex data about the interactions in biological systems from diverse experimental sources using interdisciplinary tools and personnel.

Exascale computing and what it means for shock physics

NASA Astrophysics Data System (ADS)

Germann, Timothy

2015-06-01

The U.S. Department of Energy is preparing to launch an Exascale Computing Initiative, to address the myriad challenges required to deploy and effectively utilize an exascale-class supercomputer (i.e., one capable of performing 1018 operations per second) in the 2023 timeframe. Since physical (power dissipation) requirements limit clock rates to at most a few GHz, this will necessitate the coordination of on the order of a billion concurrent operations, requiring sophisticated system and application software, and underlying mathematical algorithms, that may differ radically from traditional approaches. Even at the smaller workstation or cluster level of computation, the massive concurrency and heterogeneity within each processor will impact computational scientists. Through the multi-institutional, multi-disciplinary Exascale Co-design Center for Materials in Extreme Environments (ExMatEx), we have initiated an early and deep collaboration between domain (computational materials) scientists, applied mathematicians, computer scientists, and hardware architects, in order to establish the relationships between algorithms, software stacks, and architectures needed to enable exascale-ready materials science application codes within the next decade. In my talk, I will discuss these challenges, and what it will mean for exascale-era electronic structure, molecular dynamics, and engineering-scale simulations of shock-compressed condensed matter. In particular, we anticipate that the emerging hierarchical, heterogeneous architectures can be exploited to achieve higher physical fidelity simulations using adaptive physics refinement. This work is supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research.

The Study Team for Early Life Asthma Research (STELAR) consortium ‘Asthma e-lab’: team science bringing data, methods and investigators together

PubMed Central

Custovic, Adnan; Ainsworth, John; Arshad, Hasan; Bishop, Christopher; Buchan, Iain; Cullinan, Paul; Devereux, Graham; Henderson, John; Holloway, John; Roberts, Graham; Turner, Steve; Woodcock, Ashley; Simpson, Angela

2015-01-01

We created Asthma e-Lab, a secure web-based research environment to support consistent recording, description and sharing of data, computational/statistical methods and emerging findings across the five UK birth cohorts. The e-Lab serves as a data repository for our unified dataset and provides the computational resources and a scientific social network to support collaborative research. All activities are transparent, and emerging findings are shared via the e-Lab, linked to explanations of analytical methods, thus enabling knowledge transfer. eLab facilitates the iterative interdisciplinary dialogue between clinicians, statisticians, computer scientists, mathematicians, geneticists and basic scientists, capturing collective thought behind the interpretations of findings. PMID:25805205

Exosemiotics: an inter-disciplinary approach

NASA Astrophysics Data System (ADS)

Reed, Mary L.

2000-06-01

Over the past several hundred years, many ideas have been expressed as to how human beings might communicate with extraterrestrials. These ideas have been put forth by experts from a diverse range of fields including physical scientists, mathematicians, behavioral scientists, philosophers and creative writers who have widely differing views on how to express ourselves coherently with civilizations from other worlds. This paper will look at some of these differing viewpoints and stress the need for an inter-disciplinary approach to the challenges of sending and, perhaps most important, receiving messages. Could we decipher a message if we got one? Who is doing the listening and what advantages could an inter-disciplinary approach bring to these efforts? What are some inter-disciplinary approaches to sending messages to extraterrestrials?

T198. A SCHIZOPHRENIA-LIKE BIRTH SEASONALITY AMONG MATHEMATICIANS AND AN OPPOSITE SEASONALITY AMONG BIOLOGISTS: MORE EVIDENCE IMPLICATING BIMODAL RHYTHMS OF GENERAL BIRTHS

PubMed Central

Marzullo, Giovanni

2018-01-01

Abstract Background Based on early-20th century births, a pre-electric illumination time of comparatively normal human exposure to sunlight, studies of schizophrenia (SCZ) found a birth seasonality with two opposite effects: a SCZ-liability peak among subjects born around late-February and an equally significant SCZ-resistance peak among those born six months later, around late-August. We previously investigated this rhythm in connection with a sunlight-dependent bimodal rhythm of general births that, prior to the full advent of electric lighting (but not later), occurred ubiquitously in non-equatorial parts of the world. We found that the SCZ-liability peak coincided with a first, Feb-Mar peak of general-population births (the GP1) while the SCZ-resistance peak coincided with a second, Aug-Sep peak of those births (the GP2). Moreover, in a study of hand and visual-field preferences among professional baseball players, we found the SCZ-liability, GP1-coincident seasonality among players with preferences denoting cerebral asymmetry “deficits” (CADs) and the SCZ-resistance, GP2-coincident seasonality among those with preferences denoting cerebral asymmetry “excesses.” Also, in a study suggested by associations of CADs with artistic abilities, we found the SCZ-liability, GP1-coincident seasonality among groups representing visual, performing and literary art “creators” (VPL-Artists) and the SCZ-resistance, GP2-coincident seasonality among groups representing art critics, historians, curators and other art “observers” (Para-Artists). Together, these findings suggested, as one possibility (but see later), that the SCZ-liability, CAD effects and artistic abilities could all three represent traits genetically or otherwise selected into the GP1 excess population of newborns and out of the GP2 population. The present study of “scientists” was initially aimed at the purported arts/science antithesis. Methods Birth seasonalities were examined among early-20th century born American scientists and among yet earlier European biologists and mathematicians. Results A group representing 1,925 American scientists showed the SCZ-resistance, GP2-coincident seasonality. However, this effect proved to be mostly due to biologists because biochemists, chemists, and physicists showed gradually less seasonality while mathematicians suggested an altogether artist-like, GP1-coincident seasonality. This intimation of a biologist-mathematician antithesis was pursued with an investigation of most major figures in the history of the two sciences from the 15th to the early-20th century. The two groups, numbering 576 mathematicians and 787 biologists, shared the same mean decade of birth, the 1780s, and essentially the same geographic origin in Western Europe. The mathematicians showed a very significant SCZ liability-like, GP1-coincident seasonality while the biologists showed an even more significant SCZ resistance-like, GP2-coincident seasonality. The latter effect was particularly strong among naturalists, anatomists and other groups representing biological “observationalism” as opposed to “experimentalism.” Discussion The findings are discussed in light of a) new evidence that the annual photoperiod is indeed alone responsible for both peaks of general births, with the GP1 and the GP2 being caused by maternal periconceptional exposure to, respectively, the summer-solstice sunlight maximum and the winter-solstice minimum, and b) an approach/withdrawal theory of lateralization of basic emotions where the left cerebral cortex would handle external stimuli eliciting complacent emotions towards external realities while the right cortex would handle internal stimuli eliciting disdain for those realities.

Advanced Methodologies for NASA Science Missions

NASA Astrophysics Data System (ADS)

Hurlburt, N. E.; Feigelson, E.; Mentzel, C.

2017-12-01

Most of NASA's commitment to computational space science involves the organization and processing of Big Data from space-based satellites, and the calculations of advanced physical models based on these datasets. But considerable thought is also needed on what computations are needed. The science questions addressed by space data are so diverse and complex that traditional analysis procedures are often inadequate. The knowledge and skills of the statistician, applied mathematician, and algorithmic computer scientist must be incorporated into programs that currently emphasize engineering and physical science. NASA's culture and administrative mechanisms take full cognizance that major advances in space science are driven by improvements in instrumentation. But it is less well recognized that new instruments and science questions give rise to new challenges in the treatment of satellite data after it is telemetered to the ground. These issues might be divided into two stages: data reduction through software pipelines developed within NASA mission centers; and science analysis that is performed by hundreds of space scientists dispersed through NASA, U.S. universities, and abroad. Both stages benefit from the latest statistical and computational methods; in some cases, the science result is completely inaccessible using traditional procedures. This paper will review the current state of NASA and present example applications using modern methodologies.

Jeanette Scissum-Mickens, was honored by Alabama Governor Kay Ivey at the Alabama Historically Black Colleges and Universities Roundtable Discussion: Minority Women in STEM

NASA Image and Video Library

2017-09-27

Retired Marshall scientist, Jeanette Scissum-Mickens, was honored by Alabama Governor Kay Ivey at the Alabama Historically Black Colleges and Universities Roundtable Discussion: Minority Women in STEM event held at the University of Alabama A&M in Huntsville, Alabama. Scissum-Mickens was honored as the “Hidden Figure of Alabama A&M.” She was the first African-American mathematician hired by Marshall in 1964.

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

NASA Administrator Charles Bolden, left, and Jet Propulsion Laboratory Director Dr. Charles Elachi lead school students to High Bay One at JPL during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

NASA Administrator Charles Bolden, left, along with teachers and middle school students visit High Bay One in the Spacecraft Assembly Building as part of the kick off to NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Summer of Innovation Kick Off

NASA Image and Video Library

2010-06-09

Jet Propulsion Laboratory Director Dr. Charles Elachi, center, and NASA Administrator Charles Bolden, right, lead school students to High Bay One at JPL during the kick off of NASA's Summer of Innovation program at the Jet Propulsion Laboratory in Pasadena, Calif., Thursday, June 10, 2010. Through the program, NASA will engage thousands of middle school students and teachers in stimulating math and science-based education programs with the goal of increasing the number of future scientists, mathematicians, and engineers. Photo Credit: (NASA/Bill Ingalls)

Neurocomputing

NASA Technical Reports Server (NTRS)

Hecht-Nielsen, Robert

1990-01-01

The present work is intended to give technologists, research scientists, and mathematicians a graduate-level overview of the field of neurocomputing. After exploring the relationship of this field to general neuroscience, attention is given to neural network building blocks, the self-adaptation equations of learning laws, the data-transformation structures of associative networks, and the multilayer data-transformation structures of mapping networks. Also treated are the neurocomputing frontiers of spatiotemporal, stochastic, and hierarchical networks, 'neurosoftware', the creation of neural network-based computers, and neurocomputing applications in sensor processing, control, and data analysis.

Becoming and Being a Mathematizing Mathematician

ERIC Educational Resources Information Center

De Geest, Els

2012-01-01

What does "to be a mathematician" mean? What is implied, and what image is created of "a mathematician"? Are "mathematicians" members of an exclusive club? Are mathematicians different to "other people"? Are mathematicians different because they are able to mathematize? These might not be the most oft asked questions, but are they questions to…

Undergraduate Training for Industrial Careers.

ERIC Educational Resources Information Center

Stehney, Ann K.

1983-01-01

Forty-eight mathematicians in industry, business, and government replied to a questionnaire on the relative merits of the traditional undergraduate curriculum, advanced topics in pure mathematics, computer programing, additional computer science, and specialized or applied topics. They favored programing and applied mathematics, along with a…

A brief historical development of classical mathematics before the Renaissance

NASA Astrophysics Data System (ADS)

Debnath, Lokenath

2011-07-01

'If you wish to foresee the future of mathematics our proper course is to study the history and present condition of the science.' Henri Poincaré 'It is India that gave us the ingenious method of expressing all numbers by ten symbols, each symbol receiving a value of position, as well as an absolute value. We shall appreciate the grandeur of the achievement when we remember that it escaped the genius of Archimedes and Apollonius.' P.S. Laplace 'The Greeks were the first mathematicians who are still 'real' to us today. Oriental mathematics may be an interesting curiosity, but Greek mathematics is the real thing. The Greek first spoke of a language which modern mathematicians can understand.' G.H. Hardy This article deals with a short history of mathematics and mathematical scientists during the ancient and medieval periods. Included are some major developments of the ancient, Indian, Arabic, Egyptian, Greek and medieval mathematics and their significant impact on the Renaissance mathematics. Special attention is given to many results, theorems, generalizations, and new discoveries of arithmetic, algebra, number theory, geometry and astronomy during the above periods. A number of exciting applications of the above areas is discussed in some detail. It also contains a wide variety of important material accessible to college and even high school students and teachers at all levels. Included also is mathematical information that puts the professionals and prospective mathematical scientists at the forefront of current research.

Mathematical representations in science: a cognitive-historical case history.

PubMed

Tweney, Ryan D

2009-10-01

The important role of mathematical representations in scientific thinking has received little attention from cognitive scientists. This study argues that neglect of this issue is unwarranted, given existing cognitive theories and laws, together with promising results from the cognitive historical analysis of several important scientists. In particular, while the mathematical wizardry of James Clerk Maxwell differed dramatically from the experimental approaches favored by Michael Faraday, Maxwell himself recognized Faraday as "in reality a mathematician of a very high order," and his own work as in some respects a re-representation of Faraday's field theory in analytic terms. The implications of the similarities and differences between the two figures open new perspectives on the cognitive role of mathematics as a learned mode of representation in science. Copyright © 2009 Cognitive Science Society, Inc.

Enabling the Discovery of Gravitational Radiation

NASA Astrophysics Data System (ADS)

Isaacson, Richard

2017-01-01

The discovery of gravitational radiation was announced with the publication of the results of a physics experiment involving over a thousand participants. This was preceded by a century of theoretical work, involving a similarly large group of physicists, mathematicians, and computer scientists. This huge effort was enabled by a substantial commitment of resources, both public and private, to develop the different strands of this complex research enterprise, and to build a community of scientists to carry it out. In the excitement following the discovery, the role of key enablers of this success has not always been adequately recognized in popular accounts. In this talk, I will try to call attention to a few of the key ingredients that proved crucial to enabling the successful discovery of gravitational waves, and the opening of a new field of science.

Overview of the SAMSI year-long program on Statistical, Mathematical and Computational Methods for Astronomy

NASA Astrophysics Data System (ADS)

Jogesh Babu, G.

2017-01-01

A year-long research (Aug 2016- May 2017) program on `Statistical, Mathematical and Computational Methods for Astronomy (ASTRO)’ is well under way at Statistical and Applied Mathematical Sciences Institute (SAMSI), a National Science Foundation research institute in Research Triangle Park, NC. This program has brought together astronomers, computer scientists, applied mathematicians and statisticians. The main aims of this program are: to foster cross-disciplinary activities; to accelerate the adoption of modern statistical and mathematical tools into modern astronomy; and to develop new tools needed for important astronomical research problems. The program provides multiple avenues for cross-disciplinary interactions, including several workshops, long-term visitors, and regular teleconferences, so participants can continue collaborations, even if they can only spend limited time in residence at SAMSI. The main program is organized around five working groups:i) Uncertainty Quantification and Astrophysical Emulationii) Synoptic Time Domain Surveysiii) Multivariate and Irregularly Sampled Time Seriesiv) Astrophysical Populationsv) Statistics, computation, and modeling in cosmology.A brief description of each of the work under way by these groups will be given. Overlaps among various working groups will also be highlighted. How the wider astronomy community can both participate and benefit from the activities, will be briefly mentioned.

The autism-spectrum quotient (AQ): evidence from Asperger syndrome/high-functioning autism, males and females, scientists and mathematicians.

PubMed

Baron-Cohen, S; Wheelwright, S; Skinner, R; Martin, J; Clubley, E

2001-02-01

Currently there are no brief, self-administered instruments for measuring the degree to which an adult with normal intelligence has the traits associated with the autistic spectrum. In this paper, we report on a new instrument to assess this: the Autism-Spectrum Quotient (AQ). Individuals score in the range 0-50. Four groups of subjects were assessed: Group 1: 58 adults with Asperger syndrome (AS) or high-functioning autism (HFA); Group 2: 174 randomly selected controls. Group 3: 840 students in Cambridge University; and Group 4: 16 winners of the UK Mathematics Olympiad. The adults with AS/HFA had a mean AQ score of 35.8 (SD = 6.5), significantly higher than Group 2 controls (M = 16.4, SD = 6.3). 80% of the adults with AS/HFA scored 32+, versus 2% of controls. Among the controls, men scored slightly but significantly higher than women. No women scored extremely highly (AQ score 34+) whereas 4% of men did so. Twice as many men (40%) as women (21%) scored at intermediate levels (AQ score 20+). Among the AS/HFA group, male and female scores did not differ significantly. The students in Cambridge University did not differ from the randomly selected control group, but scientists (including mathematicians) scored significantly higher than both humanities and social sciences students, confirming an earlier study that autistic conditions are associated with scientific skills. Within the sciences, mathematicians scored highest. This was replicated in Group 4, the Mathematics Olympiad winners scoring significantly higher than the male Cambridge humanities students. 6% of the student sample scored 32+ on the AQ. On interview, 11 out of 11 of these met three or more DSM-IV criteria for AS/HFA, and all were studying sciences/mathematics, and 7 of the 11 met threshold on these criteria. Test-retest and interrater reliability of the AQ was good. The AQ is thus a valuable instrument for rapidly quantifying where any given individual is situated on the continuum from autism to normality. Its potential for screening for autism spectrum conditions in adults of normal intelligence remains to be fully explored.

Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations

NASA Astrophysics Data System (ADS)

O'Malley, Robert E., Jr.; Williams, David B.

2006-06-01

Results by physicists on renormalization group techniques have recently sparked interest in the singular perturbations community of applied mathematicians. The survey paper, [Phys. Rev. E 54(1) (1996) 376-394], by Chen et al. demonstrated that many problems which applied mathematicians solve using disparate methods can be solved using a single approach. Analysis of that renormalization group method by Mudavanhu and O'Malley [Stud. Appl. Math. 107(1) (2001) 63-79; SIAM J. Appl. Math. 63(2) (2002) 373-397], among others, indicates that the technique can be streamlined. This paper carries that analysis several steps further to present an amplitude equation technique which is both well adapted for use with a computer algebra system and easy to relate to the classical methods of averaging and multiple scales.

"Mathematicians Would Say It This Way": An Investigation of Teachers' Framings of Mathematicians

ERIC Educational Resources Information Center

Cirillo, Michelle; Herbel-Eisenmann, Beth

2011-01-01

Although popular media often provides negative images of mathematicians, we contend that mathematics classroom practices can also contribute to students' images of mathematicians. In this study, we examined eight mathematics teachers' framings of mathematicians in their classrooms. Here, we analyze classroom observations to explore some of the…

Developing an Actuarial Track Utilizing Existing Resources

ERIC Educational Resources Information Center

Rodgers, Kathy V.; Sarol, Yalçin

2014-01-01

Students earning a degree in mathematics often seek information on how to apply their mathematical knowledge. One option is to follow a curriculum with an actuarial emphasis designed to prepare students as an applied mathematician in the actuarial field. By developing only two new courses and utilizing existing courses for Validation by…

What makes a mathematician?

NASA Astrophysics Data System (ADS)

Harris, Margaret

2017-12-01

Sofia Vasilyevna Kovalevskaia is surely the only person in history who became a mathematician because of a botched redecoration project. She is one of 25 mathematicians profiled in Ian Stewart's book Significant Figures: the Lives and Work of Great Mathematicians.

Preface: SciDAC 2006

NASA Astrophysics Data System (ADS)

Tang, William M., Dr.

2006-01-01

The second annual Scientific Discovery through Advanced Computing (SciDAC) Conference was held from June 25-29, 2006 at the new Hyatt Regency Hotel in Denver, Colorado. This conference showcased outstanding SciDAC-sponsored computational science results achieved during the past year across many scientific domains, with an emphasis on science at scale. Exciting computational science that has been accomplished outside of the SciDAC program both nationally and internationally was also featured to help foster communication between SciDAC computational scientists and those funded by other agencies. This was illustrated by many compelling examples of how domain scientists collaborated productively with applied mathematicians and computer scientists to effectively take advantage of terascale computers (capable of performing trillions of calculations per second) not only to accelerate progress in scientific discovery in a variety of fields but also to show great promise for being able to utilize the exciting petascale capabilities in the near future. The SciDAC program was originally conceived as an interdisciplinary computational science program based on the guiding principle that strong collaborative alliances between domain scientists, applied mathematicians, and computer scientists are vital to accelerated progress and associated discovery on the world's most challenging scientific problems. Associated verification and validation are essential in this successful program, which was funded by the US Department of Energy Office of Science (DOE OS) five years ago. As is made clear in many of the papers in these proceedings, SciDAC has fundamentally changed the way that computational science is now carried out in response to the exciting challenge of making the best use of the rapid progress in the emergence of more and more powerful computational platforms. In this regard, Dr. Raymond Orbach, Energy Undersecretary for Science at the DOE and Director of the OS has stated: `SciDAC has strengthened the role of high-end computing in furthering science. It is defining whole new fields for discovery.' (SciDAC Review, Spring 2006, p8). Application domains within the SciDAC 2006 conference agenda encompassed a broad range of science including: (i) the DOE core mission of energy research involving combustion studies relevant to fuel efficiency and pollution issues faced today and magnetic fusion investigations impacting prospects for future energy sources; (ii) fundamental explorations into the building blocks of matter, ranging from quantum chromodynamics - the basic theory that describes how quarks make up the protons and neutrons of all matter - to the design of modern high-energy accelerators; (iii) the formidable challenges of predicting and controlling the behavior of molecules in quantum chemistry and the complex biomolecules determining the evolution of biological systems; (iv) studies of exploding stars for insights into the nature of the universe; and (v) integrated climate modeling to enable realistic analysis of earth's changing climate. Associated research has made it quite clear that advanced computation is often the only means by which timely progress is feasible when dealing with these complex, multi-component physical, chemical, and biological systems operating over huge ranges of temporal and spatial scales. Working with the domain scientists, applied mathematicians and computer scientists have continued to develop the discretizations of the underlying equations and the complementary algorithms to enable improvements in solutions on modern parallel computing platforms as they evolve from the terascale toward the petascale regime. Moreover, the associated tremendous growth of data generated from the terabyte to the petabyte range demands not only the advanced data analysis and visualization methods to harvest the scientific information but also the development of efficient workflow strategies which can deal with the data input/output, management, movement, and storage challenges. If scientific discovery is expected to keep apace with the continuing progression from tera- to petascale platforms, the vital alliance between domain scientists, applied mathematicians, and computer scientists will be even more crucial. During the SciDAC 2006 Conference, some of the future challenges and opportunities in interdisciplinary computational science were emphasized in the Advanced Architectures Panel and by Dr. Victor Reis, Senior Advisor to the Secretary of Energy, who gave a featured presentation on `Simulation, Computation, and the Global Nuclear Energy Partnership.' Overall, the conference provided an excellent opportunity to highlight the rising importance of computational science in the scientific enterprise and to motivate future investment in this area. As Michael Strayer, SciDAC Program Director, has noted: `While SciDAC may have started out as a specific program, Scientific Discovery through Advanced Computing has become a powerful concept for addressing some of the biggest challenges facing our nation and our world.' Looking forward to next year, the SciDAC 2007 Conference will be held from June 24-28 at the Westin Copley Plaza in Boston, Massachusetts. Chairman: David Keyes, Columbia University. The Organizing Committee for the SciDAC 2006 Conference would like to acknowledge the individuals whose talents and efforts were essential to the success of the meeting. Special thanks go to Betsy Riley for her leadership in building the infrastructure support for the conference, for identifying and then obtaining contributions from our corporate sponsors, for coordinating all media communications, and for her efforts in organizing and preparing the conference proceedings for publication; to Tim Jones for handling the hotel scouting, subcontracts, and exhibits and stage production; to Angela Harris for handling supplies, shipping, and tracking, poster sessions set-up, and for her efforts in coordinating and scheduling the promotional activities that took place during the conference; to John Bui and John Smith for their superb wireless networking and A/V set-up and support; to Cindy Latham for Web site design, graphic design, and quality control of proceedings submissions; and to Pamelia Nixon-Hartje of Ambassador for budget and quality control of catering. We are grateful for the highly professional dedicated efforts of all of these individuals, who were the cornerstones of the SciDAC 2006 Conference. Thanks also go to Angela Beach of the ORNL Conference Center for her efforts in executing the contracts with the hotel, Carolyn James of Colorado State for on-site registration supervision, Lora Wolfe and Brittany Hagen for administrative support at ORNL, and Dami Rich and Andrew Sproles for graphic design and production. We are also most grateful to the Oak Ridge National Laboratory, especially Jeff Nichols, and to our corporate sponsors, Data Direct Networks, Cray, IBM, SGI, and Institute of Physics Publishing for their support. We especially express our gratitude to the featured speakers, invited oral speakers, invited poster presenters, session chairs, and advanced architecture panelists and chair for their excellent contributions on behalf of SciDAC 2006. We would like to express our deep appreciation to Lali Chatterjee, Graham Douglas, Margaret Smith, and the production team of Institute of Physics Publishing, who worked tirelessly to publish the final conference proceedings in a timely manner. Finally, heartfelt thanks are extended to Michael Strayer, Associate Director for OASCR and SciDAC Director, and to the DOE program managers associated with SciDAC for their continuing enthusiasm and strong support for the annual SciDAC Conferences as a special venue to showcase the exciting scientific discovery achievements enabled by the interdisciplinary collaborations championed by the SciDAC program.

National Calendar-2008

NASA Astrophysics Data System (ADS)

Ghedrovici, Vera; Svet, Maria; Matvei, Valeria; Madan, Ion; Perju, Elena; Sargun, Maria; Netida, Maria

The calendar represents a few hundreds of biographies of scientists, artists and writers from everywhere, printed in chronological order and adjusted to their birthdays. A number of international and national holydays, including some refering to science are included in the Calendar. A great defect of the calendar is the introduction of the "International day of astrology" in the list of holydays. Another defect is the absence of the indication on the membership to the Communist Party for persons cited from the former Soviet Union. The following Physicists, mathematicians, chemists and astronomers had biographies in this issue: Ilie I. Lupu (math),Lev D. Landau,

Remembering Zoltan Dienes, a Maverick of Mathematics Teaching and Learning: Applying the Variability Principles to Teach Algebra

ERIC Educational Resources Information Center

Gningue, Serigne Mbaye

2016-01-01

This paper is written in honor of Zoltan Paul Dienes, an internationally renowned mathematician and educator, who passed away in January 2014. It is an attempt to describe, analyze and apply Dienes' theory on how mathematical structures can be taught by applying his four principles of learning upon which he believed a teacher can base concept…

Sir Hermann Bondi KCB

NASA Astrophysics Data System (ADS)

Roxburgh, Ian W.

2007-12-01

Hermann Bondi was an Applied Mathematician of distinction who will be remembered by fellow scientists for his outstanding contributions to astronomy, cosmology and General Relativity, and particularly for his pioneering contributions to our understanding of gravitational waves, his foundational work on accretion, and as co-creator with Tommy Gold and Fred Hoyle of the steady state theory of cosmology. But Hermann had an equally important second career in scientific administration: advising the UK Government on the Thames Barrier, as Director General of the European Space Research Organisation (ESRO; now the European Space Agency (ESA)), as Chief Scientific Advisor to the UK Government on Defence and then on Energy, as Chairman of the Natural Environmental Research Council (NERC), and finally as Master of Churchill College, Cambridge. He was knighted in 1973. He continued his research on gravitational radiation throughout his administrative career and published his 16th paper in the series on gravitational waves in 2004. Hermann will be remembered not only for his contributions to science and administration, but for his outstanding communication skills and as a charismatic, warm, and stimulating person.

Proteomics, lipidomics, metabolomics: a mass spectrometry tutorial from a computer scientist's point of view.

PubMed

Smith, Rob; Mathis, Andrew D; Ventura, Dan; Prince, John T

2014-01-01

For decades, mass spectrometry data has been analyzed to investigate a wide array of research interests, including disease diagnostics, biological and chemical theory, genomics, and drug development. Progress towards solving any of these disparate problems depends upon overcoming the common challenge of interpreting the large data sets generated. Despite interim successes, many data interpretation problems in mass spectrometry are still challenging. Further, though these challenges are inherently interdisciplinary in nature, the significant domain-specific knowledge gap between disciplines makes interdisciplinary contributions difficult. This paper provides an introduction to the burgeoning field of computational mass spectrometry. We illustrate key concepts, vocabulary, and open problems in MS-omics, as well as provide invaluable resources such as open data sets and key search terms and references. This paper will facilitate contributions from mathematicians, computer scientists, and statisticians to MS-omics that will fundamentally improve results over existing approaches and inform novel algorithmic solutions to open problems.

Quotable Quotes in Mathematics

ERIC Educational Resources Information Center

Lo, Bruce W. N.

1983-01-01

As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)

Mathematicians' Perspectives on Features of a Good Pedagogical Proof

ERIC Educational Resources Information Center

Lai, Yvonne; Weber, Keith; Mejia-Ramos, Juan Pablo

2012-01-01

In this article, we report two studies investigating what mathematicians value in a pedagogical proof. Study 1 is a qualitative study of how eight mathematicians revised two proofs that would be presented in a course for mathematics majors. These mathematicians thought that introductory and concluding sentences should be included in the proofs,…

Mathematicians' Views on Current Publishing Issues: A Survey of Researchers

ERIC Educational Resources Information Center

Fowler, Kristine K.

2011-01-01

This article reports research mathematicians' attitudes about and activity in specific scholarly communication areas, as captured in a 2010 survey of more than 600 randomly-selected mathematicians worldwide. Key findings include: (1) Most mathematicians have papers in the arXiv, but posting to their own web pages remains more common; (2) A third…

Chen Jingrun, China's famous mathematician: devastated by brain injuries on the doorstep to solving a fundamental mathematical puzzle.

PubMed

Lei, Ting; Belykh, Evgenii; Dru, Alexander B; Yagmurlu, Kaan; Elhadi, Ali M; Nakaji, Peter; Preul, Mark C

2016-07-01

Chen Jingrun (1933-1996), perhaps the most prodigious mathematician of his time, focused on the field of analytical number theory. His work on Waring's problem, Legendre's conjecture, and Goldbach's conjecture led to progress in analytical number theory in the form of "Chen's Theorem," which he published in 1966 and 1973. His early life was ravaged by the Second Sino-Japanese War and the Chinese Cultural Revolution. On the verge of solving Goldbach's conjecture in 1984, Chen was struck by a bicyclist while also bicycling and suffered severe brain trauma. During his hospitalization, he was also found to have Parkinson's disease. Chen suffered another serious brain concussion after a fall only a few months after recovering from the bicycle crash. With significant deficits, he remained hospitalized for several years without making progress while receiving modern Western medical therapies. In 1988 traditional Chinese medicine experts were called in to assist with his treatment. After a year of acupuncture and oxygen therapy, Chen could control his basic bowel and bladder functions, he could walk slowly, and his swallowing and speech improved. When Chen was unable to produce complex work or finish his final work on Goldbach's conjecture, his mathematical pursuits were taken up vigorously by his dedicated students. He was able to publish Youth Math, a mathematics book that became an inspiration in Chinese education. Although he died in 1996 at the age of 63 after surviving brutal political repression, being deprived of neurological function at the very peak of his genius, and having to be supported by his wife, Chen ironically became a symbol of dedication, perseverance, and motivation to his students and associates, to Chinese youth, to a nation, and to mathematicians and scientists worldwide.

Your Students' Images of Mathematicians and Mathematics.

ERIC Educational Resources Information Center

Picker, Susan H.; Berry, John S.

2001-01-01

Discusses the subliminal images that students might have of mathematicians. Presents the disparity between boys and girls in envisioning mathematicians of their own sex. Explores implications for pedagogy. (KHR)

Philipp Frank, Richard von Mises, and the Frank-Mises

NASA Astrophysics Data System (ADS)

Siegmund-Schultze, Reinhard

2007-01-01

The theoretical physicist Philipp Frank (1884 1966) and the applied mathematician Richard von Mises (1883 1953) both received their university education in Vienna shortly after 1900 and became friends at the latest during the Great War.They were attached to the Vienna Circle of Logical Positivists and wrote an influential two-part work on the differential and integral equations of mechanics and physics, the Frank-Mises, of 1925 and 1927, with its second edition following in 1930 and 1935.This work originated in the lectures that the mathematician Bernhard Riemann (1826 1866) delivered on partial differential equations and their applications to physical questions at the University of Göttingen between 1854 and 1862, which were edited and published posthumously in1869 by the physicist Karl Hattendorff (1834 1882).The immediate precursor of the Frank-Mises, however, was the extensive revision of Hattendorff’s edition of Riemann’s lectures that the mathematician Heinrich Weber (1842 1913) published in two volumes, the Riemann-Weber, of 1900 and 1901, with its second edition following in 1910 and 1912. I trace this historical lineage, explore the nature and contents of the Frank-Mises, and discuss its complementary relationship to the first volume of the text that the mathematicians Richard Courant (1888 1972) and David Hilbert (1862 1943) published on the methods of mathematical physics in 1924, the Courant-Hilbert,which, when it and its second volume of 1937 were translated into English and extensively revised in 1953 and 1961, eclipsed the classic Frank-Mises.

Benjamin Banneker and the Law of Sines

ERIC Educational Resources Information Center

Mahoney, John F.

2005-01-01

Benjamin Banneker, a self-taught mathematician, surveyor and astronomer published annual almanacs containing his astronomical observations and predictions. Banneker who also used logarithms to apply the Law of Sines believed that the method used to solve a mathematical problem depends on the tools available.

PREFACE: 1st International Conference on Rheology and Modeling of Materials

NASA Astrophysics Data System (ADS)

Gömze, László A.

2015-04-01

Understanding the rheological properties of materials and their rheological behaviors during their manufacturing processes and in their applications in many cases can help to increase the efficiency and competitiveness not only of the finished goods and products but the organizations and societies also. The more scientific supported and prepared organizations develop more competitive products with better thermal, mechanical, physical, chemical and biological properties and the leading companies apply more competitive knowledge, materials, equipment and technology processes. The idea to organize in Hungary the 1st International Conference on Rheology and Modeling of Materials we have received from prospective scientists, physicists, chemists, mathematicians and engineers from Asia, Europe, North and South America including India, Korea, Russia, Turkey, Estonia, France, Italy, United Kingdom, Chile, Mexico and USA. The goals of ic-rmm1 the 1st International Conference on Rheology and Modeling of Materials are the following: • Promote new methods and results of scientific research in the fields of modeling and measurements of rheological properties and behavior of materials under processing and applications. • Change information between the theoretical and applied sciences as well as technical and technological implantations. • Promote the communication between the scientists of different disciplines, nations, countries and continents. The international conference ic-rmm1 provides a platform among the leading international scientists, researchers, PhD students and engineers for discussing recent achievements in measurement, modeling and application of rheology in materials technology and materials science of liquids, melts, solids, crystals and amorphous structures. Among the major fields of interest are the influences of material structures, mechanical stresses temperature and deformation speeds on rheological and physical properties, phase transformation of foams, foods, polymers, plastics and other competitive materials like ceramics, nanomaterials, medical- and biomaterials, cosmetics, coatings, light metals, alloys, glasses, films, composites, hetero-modulus, hetero-viscous, hetero-plastic complex materials, petrochemicals and hybrid materials, ...etc. Multidisciplinary applications of rheology and rheological modeling in material science and technology encountered in sectors like alloys, ceramics, glasses, thin films, polymers, clays, construction materials, energy, aerospace, automotive and marine industry. Rheology in food, chemistry, medicine, biosciences and environmental sciences are of particular interests. In accordance to the program of the conference ic-rmm1 more than 160 inquiries and registrations were received from 51 countries. Finally the scientists and researchers have arrived to our conference from 42 countries. Including co-authors, the research work of more than 300 scientists are presented in this book.

The National Supply of Scientists, Mathematicians, and Engineers. Volume 3. Appendix D

DTIC Science & Technology

1992-05-01

10 . Mid-Range Foreign Bachelor’s Degrees and Immigration Table D-11. Mid-Range Foreign Master’s Degrees Projections Table D-12. Mid-Range Foreign...2271 2284 14283 14452 14621 14790 14837 14884 14973 9 9 9 10 10 10 10 25 26 26 26 26 27 27 29 30 30 30 30 31 31 157 158 160 162 163 163 164 188 190...14906 14813 14720 14627 10 10 10 10 10 10 9 27 27 27 27 26 26 26 31 31 31 31 30 30 30 165 166 165 163 162 161 160 198 200 198 196 195 194 193

A computational image analysis glossary for biologists.

PubMed

Roeder, Adrienne H K; Cunha, Alexandre; Burl, Michael C; Meyerowitz, Elliot M

2012-09-01

Recent advances in biological imaging have resulted in an explosion in the quality and quantity of images obtained in a digital format. Developmental biologists are increasingly acquiring beautiful and complex images, thus creating vast image datasets. In the past, patterns in image data have been detected by the human eye. Larger datasets, however, necessitate high-throughput objective analysis tools to computationally extract quantitative information from the images. These tools have been developed in collaborations between biologists, computer scientists, mathematicians and physicists. In this Primer we present a glossary of image analysis terms to aid biologists and briefly discuss the importance of robust image analysis in developmental studies.

The Future of Chemistry Is All of Us

NASA Astrophysics Data System (ADS)

Walter, Paul

1999-05-01

It is a pleasure to have this opportunity affirming the ACS's appreciation for the role you play as faculty from two-year colleges in preparing the next generation of scientists, engineers, and mathematicians. In particular, I salute the efforts of 2YC3 in reaching out to the diverse groups of students who are studying at your institutions, including older students, female students, minority, and immigrant students. The quality of the conferences you organize, and their geographic accessibility to your more than 700 members, have resulted in catalyzing professional development and growth among two-year college chemistry faculty, and thus improving the quality of instruction delivered to your students.

Developing Mathematical Habits of Mind

ERIC Educational Resources Information Center

Mark, June; Cuoco, Al; Goldenberg, E. Paul; Sword, Sarah

2010-01-01

"Mathematical habits of mind" include reasoning by continuity, looking at extreme cases, performing thought experiments, and using abstraction that mathematicians use in their work. Current recommendations emphasize the critical nature of developing these habits of mind: "Once this kind of thinking is established, students can apply it in the…

Professional development for university scientists around issues of equity and diversity: Investigating dissent within community

NASA Astrophysics Data System (ADS)

Bianchini, Julie A.; Hilton-Brown, Bryan A.; Breton, Therese D.

2002-10-01

We investigated the role of dissent in a community of university scientists, engineers, mathematicians, and social scientists engaged in a 2-year professional development project around issues of equity and diversity. Members of this teacher learning community explored issues related to gender and ethnicity in science education, and attempted to develop course materials and instructional strategies inclusive of students from underrepresented groups. We focused our attention on those professional development sessions (6 of the 19) devoted to a contentious yet integral topic in science education: the gendered and multicultural nature of science. We examined conversations initiated by a member's concerns to learn how dissent led (or failed to lead) to new insights into feminist science studies scholarship or to greater understanding of ways to address equity issues in undergraduate science education. We also explored how teacher learners' resulting views of feminist science studies scholarship informed (or failed to inform) changes in their own educational practices. From our qualitative analyses, we highlight the challenges in balancing respect for members' individual voices with collective progress toward project goals, and in structuring conversations initiated by dissent to provide adequate space for deliberation and movement toward deeper understanding of equity and excellence.

A Teacher Research Experience: Immersion Into the World of Practicing Ocean Scientists

NASA Astrophysics Data System (ADS)

Payne, D. L.

2006-12-01

Professional development standards for science teachers encourage opportunities for intellectual professional growth, including participation in scientific research (NRC, 1996). Strategies to encourage the professional growth of teachers of mathematics and science include partnerships with scientists and immersion into the world of scientists and mathematicians (Loucks-Horsley, Love, Stiles, Mundry, & Hewson, 2003). A teacher research experience (TRE) can often offer a sustained relationship with scientists over a prolonged period of time. Research experiences are not a new method of professional development (Dubner, 2000; Fraser-Abder & Leonhardt, 1996; Melear, 1999; Raphael et al., 1999). Scientists serve as role models and "coaches" for teachers a practice which has been shown to dramatically increase the transfer of knowledge, skill and application to the classroom (Joyce & Showers, 2002). This study investigated if and how secondary teachers' beliefs about science, scientific research and science teaching changed as a result of participation in a TRE. Six secondary science teachers participated in a 12 day research cruise. Teachers worked with scientists, the ships' crew and other teachers conducting research and designing lessons for use in the classroom. Surveys were administered pre and post TRE to teachers and their students. Additionally, teachers were interviewed before, during and after the research experience, and following classroom observations before and after the research cruise. Teacher journals and emails, completed during the research cruise, were also analyzed. Results of the study highlight the use of authentic research experiences to retain and renew science teachers, the impact of the teachers' experience on students, and the successes and challenges of implementing a TRE during the academic year.

Gloria Hewitt: Mathematician.

ERIC Educational Resources Information Center

Lattimore, Randy

2001-01-01

Points out the importance of incorporating minority life histories in education. Presents biographical information on Gloria Hewitt, a woman mathematician of color, to help encourage all potential mathematicians, especially those who belong to minority groups. Includes practical suggestions that teachers can use to encourage or inspire students to…

CosmoQuest: Supporting Subject Matter Experts in Broadening the Impacts of their Work beyond their Institutional Walls.

NASA Astrophysics Data System (ADS)

Noel-Storr, J.; Buxner, S.; Grier, J.; Gay, P.

2016-12-01

CosmoQuest is a virtual research facility, which, like its physical counterparts, provides tools for scientists to acquire reduced data products (thanks to our cadre of citizen scientists working to analyze images and produce results online), and also to participate in education and outreach activities either directly through CosmoQuest activities (such as CosmoAcademy and the Educators' Zone) or with the support of CosmoQuest. Here, we present our strategies to inspire, engage and support Subject Matter Experts (SMEs - Scientists, Engineers, Technologists and Mathematicians) in activities outside of their institutions, and beyond college classroom teaching. We provide support for SMEs who are interested in increasing the impacts of their science knowledge and expertise by interacting with people online, or in other venues outside of their normal work environment. This includes a broad spectrum of opportunities for those interested in hosting webinars; running short courses for the public; using Facebook, Twitter or other social media to communicate science; or other diverse activities such as supporting an open house, science fair, or star party. As noted by Katheryn Woods-Townsend and colleagues, "...face-to-face interactions with scientists allowed students to view scientists as approachable and normal people, and to begin to understand the range of scientific areas and careers that exist. Scientists viewed the scientist-student interactions as a vehicle for science communication" (2015). As CosmoQuest fosters these relationships, it We present a framework for SMEs which combine opportunities for continuing professional development (virtually and in person at conferences) with ongoing online support, creating a dynamic professional learning network. The goal of this is to deepen SME capacity-knowledge, attitudes and behaviors-both encouraging and empowering them to connect to broader audiences in new ways.

Simulating the Dynamics of Earth's Core: Using NCCS Supercomputers Speeds Calculations

NASA Technical Reports Server (NTRS)

2002-01-01

If one wanted to study Earth's core directly, one would have to drill through about 1,800 miles of solid rock to reach liquid core-keeping the tunnel from collapsing under pressures that are more than 1 million atmospheres and then sink an instrument package to the bottom that could operate at 8,000 F with 10,000 tons of force crushing every square inch of its surface. Even then, several of these tunnels would probably be needed to obtain enough data. Faced with difficult or impossible tasks such as these, scientists use other available sources of information - such as seismology, mineralogy, geomagnetism, geodesy, and, above all, physical principles - to derive a model of the core and, study it by running computer simulations. One NASA researcher is doing just that on NCCS computers. Physicist and applied mathematician Weijia Kuang, of the Space Geodesy Branch, and his collaborators at Goddard have what he calls the,"second - ever" working, usable, self-consistent, fully dynamic, three-dimensional geodynamic model (see "The Geodynamic Theory"). Kuang runs his model simulations on the supercomputers at the NCCS. He and Jeremy Bloxham, of Harvard University, developed the original version, written in Fortran 77, in 1996.

The Characteristics of Mathematical Creativity

ERIC Educational Resources Information Center

Sriraman, Bharath

2004-01-01

Mathematical creativity ensures the growth of mathematics as a whole. However, the source of this growth, the creativity of the mathematician, is a relatively unexplored area in mathematics and mathematics education. In order to investigate how mathematicians create mathematics, a qualitative study involving five creative mathematicians was…

The Expert Mathematician. Revised. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2006

2006-01-01

"The Expert Mathematician" is designed to help middle school students develop the thinking processes for mathematical applications and communication. A three-year program of instruction, "The Expert Mathematician" uses a software and consumable print materials package with 196 lessons that teach the "Logo" programming…

Drawing Space: Mathematicians' Kinetic Conceptions of Eigenvectors

ERIC Educational Resources Information Center

Sinclair, Nathalie; Gol Tabaghi, Shiva

2010-01-01

This paper explores how mathematicians build meaning through communicative activity involving talk, gesture and diagram. In the course of describing mathematical concepts, mathematicians use these semiotic resources in ways that blur the distinction between the mathematical and physical world. We shall argue that mathematical meaning of…

What are mathematicians doing?

PubMed

Friedman, B

1966-10-21

Let me emphasize the point I have been trying to make. The mathematician's playing with the roots of equations, a play which had no practical motivations and almost no possibilities of practical application, led to the recognition of the importance of symmetry and groups. The study of theory of groups led to mathematical discoveries in geometry and differential equations, and finally to prediction of the existence of a new elementary particle. Surely a surprising outcome for the ivory-tower speculations of an impractical mathematician! Despite my professional bias, I must acknowledge that the importance of symmetry was recognized before mathematicians invented the theory of groups. In 1794 William Blake wrote: Tiger, Tiger, burning bright In the forests of the night, What immortal hand or eye Could frame thy fearful symmetry? However, to the mathematicians must be given the credit of recognizing that, to understand symmetry, you must study the theory of groups. I can now answer my original question, What are mathematicians doing? They are trying to make precise the intuitions of poets.

Cultural and Technological Issues and Solutions for Geodynamics Software Citation

NASA Astrophysics Data System (ADS)

Heien, E. M.; Hwang, L.; Fish, A. E.; Smith, M.; Dumit, J.; Kellogg, L. H.

2014-12-01

Computational software and custom-written codes play a key role in scientific research and teaching, providing tools to perform data analysis and forward modeling through numerical computation. However, development of these codes is often hampered by the fact that there is no well-defined way for the authors to receive credit or professional recognition for their work through the standard methods of scientific publication and subsequent citation of the work. This in turn may discourage researchers from publishing their codes or making them easier for other scientists to use. We investigate the issues involved in citing software in a scientific context, and introduce features that should be components of a citation infrastructure, particularly oriented towards the codes and scientific culture in the area of geodynamics research. The codes used in geodynamics are primarily specialized numerical modeling codes for continuum mechanics problems; they may be developed by individual researchers, teams of researchers, geophysicists in collaboration with computational scientists and applied mathematicians, or by coordinated community efforts such as the Computational Infrastructure for Geodynamics. Some but not all geodynamics codes are open-source. These characteristics are common to many areas of geophysical software development and use. We provide background on the problem of software citation and discuss some of the barriers preventing adoption of such citations, including social/cultural barriers, insufficient technological support infrastructure, and an overall lack of agreement about what a software citation should consist of. We suggest solutions in an initial effort to create a system to support citation of software and promotion of scientific software development.

Mathematicians' Perspectives on the Utility of Software

ERIC Educational Resources Information Center

Quinlan, James

2016-01-01

In this study, we examine mathematicians' perspectives of the utility of software in mathematics and the teaching of mathematics. In particular, we report findings from a survey questioning 422 mathematicians with respect to their beliefs regarding the usefulness of software in mathematics research, teaching, and learning; recommended software…

Research Mathematicians' Practices in Selecting Mathematical Problems

ERIC Educational Resources Information Center

Misfeldt, Morten; Johansen, Mikkel Willum

2015-01-01

Developing abilities to create, inquire into, qualify, and choose among mathematical problems is an important educational goal. In this paper, we elucidate how mathematicians work with mathematical problems in order to understand this mathematical process. More specifically, we investigate how mathematicians select and pose problems and discuss to…

The Writing Mathematician

ERIC Educational Resources Information Center

Yoon, Caroline

2017-01-01

Popular culture casts mathematics and writing as opposites--a false dichotomy, which can be harmful for our discipline of mathematics education. Positioning writing outside the domain of the mathematician's abilities and cultivated skill set can create doubt in the mathematician wishing to write--not that one cannot be both writer and…

Participation of V. S. Vladimirov in work on the USSR atomic project: A significant milestone in the development of the foundations of mathematical modeling of the processes of neutron physics

NASA Astrophysics Data System (ADS)

Trutnev, Yu. A.; Shagaliev, R. M.; Evdokimov, V. V.; Bochkov, A. I.

2013-02-01

This paper is dedicated to the 90th anniversary of the birth of a leading Soviet and Russian scientist and a member of the USSR Academy of Sciences: Academician Vasilii Sergeevich Vladimirov. Vladimirov, one of the strongest contemporary mathematicians, worked from 1951 through 1955 at KB-11 (today, the Russian Federal Nuclear Center — All-Russian Scientific Research Institute for Experimental Physics), the "secret facility" where development of atomic weaponry was conducted. We present the main results of Vladimirov's scientific activity connected with his work on the USSR atomic project.

Pattern perception and computational complexity: introduction to the special issue

PubMed Central

Fitch, W. Tecumseh; Friederici, Angela D.; Hagoort, Peter

2012-01-01

Research on pattern perception and rule learning, grounded in formal language theory (FLT) and using artificial grammar learning paradigms, has exploded in the last decade. This approach marries empirical research conducted by neuroscientists, psychologists and ethologists with the theory of computation and FLT, developed by mathematicians, linguists and computer scientists over the last century. Of particular current interest are comparative extensions of this work to non-human animals, and neuroscientific investigations using brain imaging techniques. We provide a short introduction to the history of these fields, and to some of the dominant hypotheses, to help contextualize these ongoing research programmes, and finally briefly introduce the papers in the current issue. PMID:22688630

A Passion for Discovery

DOE Office of Scientific and Technical Information (OSTI.GOV)

Freund, Peter

The human side of doing theoretical physics is explored through stories about the interactions between physicists and about the way world events can affect not only the scientists' behavior, but even their scientific interests and style.  These stories cluster nicely around certain bigger themes to create an overarching whole.  This happens both on account of some interesting narrative structures intrinsic to the science of Physics itself and on account of the way Physics integrates into the general culture. The stories concern Einstein, Schrödinger, Pauli, Heisenberg, Stueckelberg, Jordan and Fock and also involve some mathematicians like Emmy Noether, Teichmüller and Bersmore » and even the psychologist C.G. Jung.« less

Vector 33: A reduce program for vector algebra and calculus in orthogonal curvilinear coordinates

NASA Astrophysics Data System (ADS)

Harper, David

1989-06-01

This paper describes a package with enables REDUCE 3.3 to perform algebra and calculus operations upon vectors. Basic algebraic operations between vectors and between scalars and vectors are provided, including scalar (dot) product and vector (cross) product. The vector differential operators curl, divergence, gradient and Laplacian are also defined, and are valid in any orthogonal curvilinear coordinate system. The package is written in RLISP to allow algebra and calculus to be performed using notation identical to that for operations. Scalars and vectors can be mixed quite freely in the same expression. The package will be of interest to mathematicians, engineers and scientists who need to perform vector calculations in orthogonal curvilinear coordinates.

A Passion for Discovery

ScienceCinema

Freund, Peter

2017-12-11

The human side of doing theoretical physics is explored through stories about the interactions between physicists and about the way world events can affect not only the scientists' behavior, but even their scientific interests and style.  These stories cluster nicely around certain bigger themes to create an overarching whole.  This happens both on account of some interesting narrative structures intrinsic to the science of Physics itself and on account of the way Physics integrates into the general culture. The stories concern Einstein, Schrödinger, Pauli, Heisenberg, Stueckelberg, Jordan and Fock and also involve some mathematicians like Emmy Noether, Teichmüller and Bers and even the psychologist C.G. Jung.

The Portrayal of Mathematicians and Mathematics in Popular Culture

ERIC Educational Resources Information Center

Barba, Kimberly

2018-01-01

Mathematicians are often inimically portrayed in popular culture, resulting in an abundance of non-mathematical identities in the classroom. Various tropes are propagated by the media that dominate our mental schemas of what makes a mathematician: the eccentric Einstein-like old man; the young, tortured genius; and the "genetically…

Proofs that Develop Insight

ERIC Educational Resources Information Center

Weber, Keith

2010-01-01

Many mathematics educators have noted that mathematicians do not only read proofs to gain conviction but also to obtain insight. The goal of this article is to discuss what this insight is from mathematicians' perspective. Based on interviews with nine research-active mathematicians, two sources of insight are discussed. The first is reading a…

Thinking Like a Mathematician

ERIC Educational Resources Information Center

Weiss, Michael K.; Moore-Russo, Deborah

2012-01-01

What does it mean to think like a mathematician? One of the great paradoxes of mathematics education is that, although mathematics teachers are immersed in mathematical work every day of their professional lives, most of them nevertheless have little experience with the kind of work that research mathematicians do. Their ideas of what doing…

Recommendations for an Undergraduate Program in Computational Mathematics.

ERIC Educational Resources Information Center

Committee on the Undergraduate Program in Mathematics, Berkeley, CA.

This report describes an undergraduate program designed to produce mathematicians who will know how to use and to apply computers. There is a core of 12 one-semester courses: five in mathematics, four in computational mathematics and three in computer science, leaving the senior year for electives. The content and spirit of these courses are…

Felix Klein and the NCTM's Standards: A Mathematician Considers Mathematics Education.

ERIC Educational Resources Information Center

McComas, Kim Krusen

2000-01-01

Discusses the parallels between Klein's position at the forefront of a movement to reform mathematics education and that of the National Council of Teachers of Mathematics' (NCTM) Standards. Draws a picture of Klein as an important historical figure who saw equal importance in studying pure mathematics, applying mathematics, and teaching…

Dee, John (1527-1608)

NASA Astrophysics Data System (ADS)

Murdin, P.

2000-11-01

Navigator, mathematician, traveler, polymath, mystic, charlatan, astrologer, model for Shakespeare's Prospero and King Lear, and court intriguer. Born in London, he became a navigation instructor, applying Euclidean geometry to navigation and building the instruments to do so. He advised expeditions seeking the Northwest passage to the Pacific via Canada. He cast horoscopes for Elizabeth I, recei...

Grading A-Level Double Subject Mathematicians and the Implications for Selection.

ERIC Educational Resources Information Center

Newbould, Charles A.

1981-01-01

Test data were used to compare the grading of two forms of double mathematics: pure and applied math, and regular and advanced math. Results confirm expectations that in the former system, the grading is comparable, and in the latter, it is not necessarily comparable. Implications for student admission are discussed. (MSE)

Forest-fire models

Treesearch

Haiganoush Preisler; Alan Ager

2013-01-01

For applied mathematicians forest fire models refer mainly to a non-linear dynamic system often used to simulate spread of fire. For forest managers forest fire models may pertain to any of the three phases of fire management: prefire planning (fire risk models), fire suppression (fire behavior models), and postfire evaluation (fire effects and economic models). In...

Innovative and collaborative industrial mathematics in Europe

PubMed Central

2017-01-01

This paper presents a brief review of how industrial mathematics, inspired by the Oxford Study Group activity, organized itself in Europe, gave rise to the European Consortium for Mathematics in Industry, the series of European Study Groups with Industry, and to new modes of productive contacts between industry and applied mathematicians in academia. PMID:28588414

Innovative and collaborative industrial mathematics in Europe.

PubMed

Hjorth, Poul G

2017-05-01

This paper presents a brief review of how industrial mathematics, inspired by the Oxford Study Group activity, organized itself in Europe, gave rise to the European Consortium for Mathematics in Industry, the series of European Study Groups with Industry, and to new modes of productive contacts between industry and applied mathematicians in academia.

Information Technology in University-Level Mathematics Teaching and Learning: A Mathematician's Point of View

ERIC Educational Resources Information Center

Borovik, Alexandre

2011-01-01

Although mathematicians frequently use specialist software in direct teaching of mathematics, as a means of delivery e-learning technologies have so far been less widely used. We (mathematicians) insist that teaching methods should be subject-specific and content-driven, not delivery-driven. We oppose generic approaches to teaching, including…

Commitment of mathematicians in medicine: a personal experience, and generalisations.

PubMed

Clairambault, Jean

2011-12-01

I will present here a personal point of view on the commitment of mathematicians in medicine. Starting from my personal experience, I will suggest generalisations including favourable signs and caveats to show how mathematicians can be welcome and helpful in medicine, both in a theoretical and in a practical way.

Academic Mathematicians' Dispositions toward Software Use in Mathematics Instruction: What Are the Underlying Reasons?

ERIC Educational Resources Information Center

Khoshaim, Heba Bakr

2012-01-01

Academic mathematicians' opinions are divided regarding software use in undergraduate mathematics instruction. This study explored these opinions through interviews and a subsequent survey of mathematicians at PhD-granting institutions in the United States regarding their dispositions and the underlying attitudes. Most prior related work had…

Liquid Sloshing Dynamics

NASA Astrophysics Data System (ADS)

Ibrahim, Raouf A.

2005-06-01

The problem of liquid sloshing in moving or stationary containers remains of great concern to aerospace, civil, and nuclear engineers; physicists; designers of road tankers and ship tankers; and mathematicians. Beginning with the fundamentals of liquid sloshing theory, this book takes the reader systematically from basic theory to advanced analytical and experimental results in a self-contained and coherent format. The book is divided into four sections. Part I deals with the theory of linear liquid sloshing dynamics; Part II addresses the nonlinear theory of liquid sloshing dynamics, Faraday waves, and sloshing impacts; Part III presents the problem of linear and nonlinear interaction of liquid sloshing dynamics with elastic containers and supported structures; and Part IV considers the fluid dynamics in spinning containers and microgravity sloshing. This book will be invaluable to researchers and graduate students in mechanical and aeronautical engineering, designers of liquid containers, and applied mathematicians.

Bruno de Finetti: the mathematician, the statistician, the economist, the forerunner.

PubMed

Rossi, C

2001-12-30

Bruno de Finetti is possibly the best known Italian applied mathematician of the 20th century, but was he really just a mathematician? Looking at his papers it is always possible to find original and pioneering contributions to the various fields he was interested in, where he always put his mathematical "formamentis" and skills at the service of the applications, often extending standard theories and models in order to achieve more general results. Many contributions are also devoted to educational issues, in mathematics in general and in probability and statistics in particular.He really thought that mathematics and, in particular, those topics related to uncertainty, should enter in everyday life as a useful support to everyone's decision making. He always imagined and lived mathematics as a basic tool both for better understanding and describing complex phenomena and for helping decision makers in assuming coherent and feasible actions. His many important contributions to the theory of probability and to mathematical statistics are well known all over the world, thus, in the following, minor, but still pioneering, aspects of his work, related both to theory and to applications of mathematical tools, and to his work in the field of education and training of teachers, are presented. Copyright 2001 John Wiley & Sons, Ltd.

Structural Model Error and Decision Relevancy

NASA Astrophysics Data System (ADS)

Goldsby, M.; Lusk, G.

2017-12-01

The extent to which climate models can underwrite specific climate policies has long been a contentious issue. Skeptics frequently deny that climate models are trustworthy in an attempt to undermine climate action, whereas policy makers often desire information that exceeds the capabilities of extant models. While not skeptics, a group of mathematicians and philosophers [Frigg et al. (2014)] recently argued that even tiny differences between the structure of a complex dynamical model and its target system can lead to dramatic predictive errors, possibly resulting in disastrous consequences when policy decisions are based upon those predictions. They call this result the Hawkmoth effect (HME), and seemingly use it to rebuke rightwing proposals to forgo mitigation in favor of adaptation. However, a vigorous debate has emerged between Frigg et al. on one side and another philosopher-mathematician pair [Winsberg and Goodwin (2016)] on the other. On one hand, Frigg et al. argue that their result shifts the burden to climate scientists to demonstrate that their models do not fall prey to the HME. On the other hand, Winsberg and Goodwin suggest that arguments like those asserted by Frigg et al. can be, if taken seriously, "dangerous": they fail to consider the variety of purposes for which models can be used, and thus too hastily undermine large swaths of climate science. They put the burden back on Frigg et al. to show their result has any effect on climate science. This paper seeks to attenuate this debate by establishing an irenic middle position; we find that there is more agreement between sides than it first seems. We distinguish a `decision standard' from a `burden of proof', which helps clarify the contributions to the debate from both sides. In making this distinction, we argue that scientists bear the burden of assessing the consequences of HME, but that the standard Frigg et al. adopt for decision relevancy is too strict.

How Mathematicians Determine if an Argument Is a Valid Proof

ERIC Educational Resources Information Center

Weber, Keith

2008-01-01

The purpose of this article is to investigate the mathematical practice of proof validation--that is, the act of determining whether an argument constitutes a valid proof. The results of a study with 8 mathematicians are reported. The mathematicians were observed as they read purported mathematical proofs and made judgments about their validity;…

Introducing geometry concept based on history of Islamic geometry

NASA Astrophysics Data System (ADS)

Maarif, S.; Wahyudin; Raditya, A.; Perbowo, K. S.

2018-01-01

Geometry is one of the areas of mathematics interesting to discuss. Geometry also has a long history in mathematical developments. Therefore, it is important integrated historical development of geometry in the classroom to increase’ knowledge of how mathematicians earlier finding and constructing a geometric concept. Introduction geometrical concept can be started by introducing the Muslim mathematician who invented these concepts so that students can understand in detail how a concept of geometry can be found. However, the history of mathematics development, especially history of Islamic geometry today is less popular in the world of education in Indonesia. There are several concepts discovered by Muslim mathematicians that should be appreciated by the students in learning geometry. Great ideas of mathematicians Muslim can be used as study materials to supplement religious character values taught by Muslim mathematicians. Additionally, by integrating the history of geometry in teaching geometry are expected to improve motivation and geometrical understanding concept.

Mathematicians, Attributional Complexity, and Gender

NASA Astrophysics Data System (ADS)

Stalder, Daniel R.

Given indirect indications in sex role and soda! psychology research that mathematical-deductive reasoning may negatively relate to social acuity, Study 1 investigated whether mathematicians were less attributionally complex than nonmathematicians. Study 1 administered the Attributional Complexity Scale, a measure of social acuity, to female and male faculty members and graduate students in four Midwestern schools. Atlrihutional complexity (AC) is the ability and motivation to give complex explanations for behavior. Study 1 found a significant interaction between field and gender. Only among women did mathematicians score lower on AC. In addition, an established gender difference in AC (that women score higher than men) was present only among nonmathematicians. Studies 2 and 3 offered some preliminary support for the possibility that it is generally female students who score tow on AC who aspire to he mathematicians and for the underlying view that female students' perceived similarity to mathematicians can influence their vocational choices.

On Mathematicians' Proof Skimming: A Reply to Inglis and Alcock

ERIC Educational Resources Information Center

Weber, Keith; Mejia-Ramos, Juan Pablo

2013-01-01

n a recent article, Inglis and Alcock (2012) contended that their data challenge the claim that when mathematicians validate proofs, they initially skim a proof to grasp its main idea before reading individual parts of the proof more carefully. This result is based on the fact that when mathematicians read proofs in their study, on average their…

Constructions of Mathematicians in Popular Culture and Learners' Narratives: A Study of Mathematical and Non-Mathematical Subjectivities

ERIC Educational Resources Information Center

Moreau, Marie-Pierre; Mendick, Heather; Epstein, Debbie

2010-01-01

In this paper, based on a project funded by the UK Economic and Social Research Council considering how people position themselves in relation to popular representations of mathematics and mathematicians, we explore constructions of mathematicians in popular culture and the ways learners make meanings from these. Drawing on an analysis of popular…

A FIRST STEP TOWARDS THE IMPLEMENTATION OF THE CAMBRIDGE MATHEMATICS CURRICULUM IN A K-12 UNGRADED SCHOOL.

ERIC Educational Resources Information Center

FOSTER, GARRETT R.

A SERIES OF THREE CONFERENCES WAS HELD TO EXPLORE THE FEASIBILITY OF IMPLEMENTING A LONG-RANGE CURRICULUM DEVELOPMENT PROJECT FOR AN UNGRADED, K-12 SCHOOL, BASED ON RECOMMENDATIONS OF THE CAMBRIDGE CONFERENCE ON SCHOOL MATHEMATICS. OVER 50 MATHEMATICIANS, MATHEMATICS EDUCATORS, AND PERSONS INVOLVED IN THEORETICAL AND APPLIED PSYCHOLOGICAL…

Mathematical Optimization Techniques

NASA Technical Reports Server (NTRS)

Bellman, R. (Editor)

1963-01-01

The papers collected in this volume were presented at the Symposium on Mathematical Optimization Techniques held in the Santa Monica Civic Auditorium, Santa Monica, California, on October 18-20, 1960. The objective of the symposium was to bring together, for the purpose of mutual education, mathematicians, scientists, and engineers interested in modern optimization techniques. Some 250 persons attended. The techniques discussed included recent developments in linear, integer, convex, and dynamic programming as well as the variational processes surrounding optimal guidance, flight trajectories, statistical decisions, structural configurations, and adaptive control systems. The symposium was sponsored jointly by the University of California, with assistance from the National Science Foundation, the Office of Naval Research, the National Aeronautics and Space Administration, and The RAND Corporation, through Air Force Project RAND.

A Succinct Naming Convention for Lengthy Hexadecimal Numbers

NASA Technical Reports Server (NTRS)

Grant, Michael S.

1997-01-01

Engineers, computer scientists, mathematicians and others must often deal with lengthy hexadecimal numbers. As memory requirements for software increase, the associated memory address space for systems necessitates the use of longer and longer strings of hexadecimal characters to describe a given number. For example, the address space of some digital signal processors (DSP's) now ranges in the billions of words, requiring eight hexadecimal characters for many of the addresses. This technical memorandum proposes a simple grouping scheme for more clearly representing lengthy hexadecimal numbers in written material, as well as a "code" for naming and more quickly verbalizing such numbers. This should facilitate communications among colleagues in engineering and related fields, and aid in comprehension and temporary memorization of important hexadecimal numbers during design work.

Map projections

USGS Publications Warehouse

,

1993-01-01

A map projection is used to portray all or part of the round Earth on a flat surface. This cannot be done without some distortion. Every projection has its own set of advantages and disadvantages. There is no "best" projection. The mapmaker must select the one best suited to the needs, reducing distortion of the most important features. Mapmakers and mathematicians have devised almost limitless ways to project the image of the globe onto paper. Scientists at the U. S. Geological Survey have designed projections for their specific needs—such as the Space Oblique Mercator, which allows mapping from satellites with little or no distortion. This document gives the key properties, characteristics, and preferred uses of many historically important projections and of those frequently used by mapmakers today.

Mathematical Sense, Mathematical Sensibility: The Role of the Secondary Geometry Course in Teaching Students to Be Like Mathematicians

ERIC Educational Resources Information Center

Weiss, Michael Kevin

2009-01-01

How can the secondary Geometry course serve as an opportunity for students to learn to "be like" a mathematician--that is, to acquire a mathematical sensibility? In the first part of this dissertation, I investigate what might be meant by "mathematical sensibility". By analyzing narratives of mathematicians and their work, I identify a collection…

Nanotechnology: A Vast Field for the Creative Mind

NASA Technical Reports Server (NTRS)

Benavides, Jeannette

2003-01-01

Nanotechnology is a rapidly developing field worldwide. Nanotechnology is the development of smart systems for many different applications by building from the molecular level up. Current research, sponsored by The National Nanotechnology Alliance in the US will be described. Future needs in manpower of different disciplines will be discussed. Nanotechnology is a field of research that could allow developing countries to establish a technological infrastructure. The nature of nanotechnology requires professionals in many areas, such as engineers, chemists, physicists, mathematicians, computer scientists, materials scientists, etc. One of the materials that provide unique properties for nanotechnology is carbon nanotubes. At Goddard we have develop a process to produce nanotubes at lower costs and without metal catalysts which will be of great importance for the development of new materials for space applications and others outside NASA. Nanotechnology in general is a very broad and exciting field that will provide the technologies of tomorrow including biomedical applications for the betterment of mankind. There is room in this area for many researchers all over the world. The key is collaboration, nationally and internationally.

Professional mathematicians differ from controls in their spatial-numerical associations.

PubMed

Cipora, Krzysztof; Hohol, Mateusz; Nuerk, Hans-Christoph; Willmes, Klaus; Brożek, Bartosz; Kucharzyk, Bartłomiej; Nęcka, Edward

2016-07-01

While mathematically impaired individuals have been shown to have deficits in all kinds of basic numerical representations, among them spatial-numerical associations, little is known about individuals with exceptionally high math expertise. They might have a more abstract magnitude representation or more flexible spatial associations, so that no automatic left/small and right/large spatial-numerical association is elicited. To pursue this question, we examined the Spatial Numerical Association of Response Codes (SNARC) effect in professional mathematicians which was compared to two control groups: Professionals who use advanced math in their work but are not mathematicians (mostly engineers), and matched controls. Contrarily to both control groups, Mathematicians did not reveal a SNARC effect. The group differences could not be accounted for by differences in mean response speed, response variance or intelligence or a general tendency not to show spatial-numerical associations. We propose that professional mathematicians possess more abstract and/or spatially very flexible numerical representations and therefore do not exhibit or do have a largely reduced default left-to-right spatial-numerical orientation as indexed by the SNARC effect, but we also discuss other possible accounts. We argue that this comparison with professional mathematicians also tells us about the nature of spatial-numerical associations in persons with much less mathematical expertise or knowledge.

The Psychological Four-Color Mapping Problem

ERIC Educational Resources Information Center

Francis, Gregory; Bias, Keri; Shive, Joshua

2010-01-01

Mathematicians have proven that four colors are sufficient to color 2-D maps so that no neighboring regions share the same color. Here we consider the psychological 4-color problem: Identifying which 4 colors should be used to make a map easy to use. We build a model of visual search for this design task and demonstrate how to apply it to the task…

Chaotic dynamics in the physical sciences (Lewis Fry Richardson Medal Lecture)

NASA Astrophysics Data System (ADS)

Ott, Edward

2017-04-01

Chaos was discovered at the end of the 19th century by Poincare in his famous work on the motion of N>2 celestial bodies interacting through gravitational attraction. Although steady progress was made by mathematicians following Poincare's work, the widespread impact and development of chaos in the physical sciences is comparatively recent, i.e., approximately starting in the 1970's. This talk will review and comment on this history and will give some examples illustrating the types of questions, problems and results arising from perspectives resulting from the widespread participation of physical scientists in chaos research. One of these examples will be from our work on data assimilation for weather prediction [ Ott et al., Tellus A vol.56, 415 (2004); Patil, Phys. Rev. Lett. vol.86, 5878 (2001)].

Visualizing a silicon quantum computer

NASA Astrophysics Data System (ADS)

Sanders, Barry C.; Hollenberg, Lloyd C. L.; Edmundson, Darran; Edmundson, Andrew

2008-12-01

Quantum computation is a fast-growing, multi-disciplinary research field. The purpose of a quantum computer is to execute quantum algorithms that efficiently solve computational problems intractable within the existing paradigm of 'classical' computing built on bits and Boolean gates. While collaboration between computer scientists, physicists, chemists, engineers, mathematicians and others is essential to the project's success, traditional disciplinary boundaries can hinder progress and make communicating the aims of quantum computing and future technologies difficult. We have developed a four minute animation as a tool for representing, understanding and communicating a silicon-based solid-state quantum computer to a variety of audiences, either as a stand-alone animation to be used by expert presenters or embedded into a longer movie as short animated sequences. The paper includes a generally applicable recipe for successful scientific animation production.

On the role of visual experience in mathematical development: Evidence from blind mathematicians.

PubMed

Amalric, Marie; Denghien, Isabelle; Dehaene, Stanislas

2018-04-01

Advanced mathematical reasoning, regardless of domain or difficulty, activates a reproducible set of bilateral brain areas including intraparietal, inferior temporal and dorsal prefrontal cortex. The respective roles of genetics, experience and education in the development of this math-responsive network, however, remain unresolved. Here, we investigate the role of visual experience by studying the exceptional case of three professional mathematicians who were blind from birth (n=1) or became blind during childhood (n=2). Subjects were scanned with fMRI while they judged the truth value of spoken mathematical and nonmathematical statements. Blind mathematicians activated the classical network of math-related areas during mathematical reflection, similar to that found in a group of sighted professional mathematicians. Thus, brain networks for advanced mathematical reasoning can develop in the absence of visual experience. Additional activations were found in occipital cortex, even in individuals who became blind during childhood, suggesting that either mental imagery or a more radical repurposing of visual cortex may occur in blind mathematicians. Copyright © 2017 The Authors. Published by Elsevier Ltd.. All rights reserved.

Conversations about curriculum change: mathematical thinking and team-based learning in a discrete mathematics course

NASA Astrophysics Data System (ADS)

Paterson, Judy; Sneddon, Jamie

2011-10-01

This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused on what he calls the 'unspoken curriculum': mathematical thinking. We consider the ways in which the TBL model promoted and enabled this in the light of literature on mathematical thinking, sense-making and behaviours, and strongly suggest that this approach warrants more attention from the mathematics teaching community. We also discuss shifts in the mathematician's thinking about task construction as he refined the tasks to encourage students to think and behave like mathematicians.

A Multidimensional Approach to Training Mathematics Students at a University: Improving the Efficiency through the Unity of Social, Psychological and Pedagogical Aspects

ERIC Educational Resources Information Center

Kuznetsova, Elena; Matytcina, Marina

2018-01-01

The article deals with social, psychological and pedagogical aspects of teaching mathematics students at universities. The sociological portrait and the factors influencing a career choice of a mathematician have been investigated through the survey results of 198 first-year students of applied mathematics major at 27 state universities (Russia).…

Artifacts in Radar Imaging of Moving Targets

DTIC Science & Technology

2012-09-01

CA, USA, 2007. [11] B. Borden, Radar imaging of airborne targets: A primer for Applied mathematicians and Physicists . New York, NY: Taylor and... Project (0704–0188) Washington DC 20503. 1. AGENCY USE ONLY (Leave blank) 2. REPORT DATE 21 September 2012 3. REPORT TYPE AND DATES COVERED...CW Continuous Wave DAC Digital to Analog Convertor DFT Discrete Fourier Transform FBP Filtered Back Projection FFT Fast Fourier Transform GPS

Terrorism/Criminalogy/Sociology via Magnetism-Hamiltonian ``Models''?!: Black Swans; What Secrets Lie Buried in Magnetism?; ``Magnetism Will Conquer the Universe?''(Charles Middleton, aka ``His Imperial Majesty The Emperior Ming `The Merciless!!!''

NASA Astrophysics Data System (ADS)

Carrott, Anthony; Siegel, Edward Carl-Ludwig; Hoover, John-Edgar; Ness, Elliott

2013-03-01

Terrorism/Criminalogy//Sociology : non-Linear applied-mathematician (``nose-to-the grindstone / ``gearheadism'') ''modelers'': Worden,, Short, ...criminologists/counter-terrorists/sociologists confront [SIAM Conf. on Nonlinearity, Seattle(12); Canadian Sociology Conf,. Burnaby(12)]. ``The `Sins' of the Fathers Visited Upon the Sons'': Zeno vs Ising vs Heisenberg vs Stoner vs Hubbard vs Siegel ''SODHM''(But NO Y!!!) vs ...??? Magntism and it turn are themselves confronted BY MAGNETISM,via relatively magnetism/metal-insulator conductivity / percolation-phase-transitions critical-phenomena -illiterate non-linear applied-mathematician (nose-to-the-grindstone/ ``gearheadism'')''modelers''. What Secrets Lie Buried in Magnetism?; ``Magnetism Will Conquer the Universe!!!''[Charles Middleton, aka ``His Imperial Majesty The Emperior Ming `The Merciless!!!']'' magnetism-Hamiltonian phase-transitions percolation-``models''!: Zeno(~2350 BCE) to Peter the Pilgrim(1150) to Gilbert(1600) to Faraday(1815-1820) to Tate (1870-1880) to Ewing(1882) hysteresis to Barkhausen(1885) to Curie(1895)-Weiss(1895) to Ising-Lenz(r-space/Localized-Scalar/ Discrete/1911) to Heisenberg(r-space/localized-vector/discrete/1927) to Priesich(1935) to Stoner (electron/k-space/ itinerant-vector/discrete/39) to Stoner-Wohlfarth (technical-magnetism hysteresis /r-space/ itinerant-vector/ discrete/48) to Hubbard-Longuet-Higgins (k-space versus r-space/

The collaboration between anatomists and mathematicians in the mid-seventeenth century with a study of images as experiments and Galileo's role in Steno's Myology.

PubMed

Meli, Domenico Bertoloni

2008-01-01

Moving from Paris, Pisa, and Oxford to London, Amsterdam, and Cambridge, this essay documents extensive collaborations between anatomists and mathematicians. At a time when no standard way to acknowledge collaboration existed, it is remarkable that in all the cases I discuss anatomists expressed in print their debt to mathematicians. The cases I analyze document an extraordinarily fertile period in the history of anatomy and science and call into question historiographic divisions among historians of science and medicine. I focus on Steno's Myology, showing how his collaboration with mathematician Viviani led to a geometrical treatment of muscular contraction and to an epistemology inspired by Galileo. The collaboration between Steno and Viviani enables us to interpret a major text in the history of anatomy, one whose implications had so far eluded historians.

Better Than Earth

NASA Astrophysics Data System (ADS)

Heller, René

2015-01-01

Do we inhabit the best of all possible worlds? German mathematician Gottfried Leibniz thought so, writing in 1710 that our planet, warts and all, must be the most optimal one imaginable. Leibniz's idea was roundly scorned as unscientific wishful thinking, most notably by French author Voltaire in his magnum opus, Candide. Yet Leibniz might find sympathy from at least one group of scientists - the astronomers who have for decades treated Earth as a golden standard as they search for worlds beyond our own solar system. Because earthlings still know of just one living world - our own - it makes some sense to use Earth as a template in the search for life elsewhere, such as in the most Earth-like regions of Mars or Jupiter's watery moon Europa. Now, however, discoveries of potentially habitable planets orbiting stars other than our sun - exoplanets, that is - are challenging that geocentric approach.

Reflections concerning triply-periodic minimal surfaces.

PubMed

Schoen, Alan H

2012-10-06

In recent decades, there has been an explosion in the number and variety of embedded triply-periodic minimal surfaces (TPMS) identified by mathematicians and materials scientists. Only the rare examples of low genus, however, are commonly invoked as shape templates in scientific applications. Exact analytic solutions are now known for many of the low genus examples. The more complex surfaces are readily defined with numerical tools such as Surface Evolver software or the Landau-Ginzburg model. Even though table-top versions of several TPMS have been placed within easy reach by rapid prototyping methods, the inherent complexity of many of these surfaces makes it challenging to grasp their structure. The problem of distinguishing TPMS, which is now acute because of the proliferation of examples, has been addressed by Lord & Mackay (Lord & Mackay 2003 Curr. Sci. 85, 346-362).

Reflections concerning triply-periodic minimal surfaces

PubMed Central

Schoen, Alan H.

2012-01-01

In recent decades, there has been an explosion in the number and variety of embedded triply-periodic minimal surfaces (TPMS) identified by mathematicians and materials scientists. Only the rare examples of low genus, however, are commonly invoked as shape templates in scientific applications. Exact analytic solutions are now known for many of the low genus examples. The more complex surfaces are readily defined with numerical tools such as Surface Evolver software or the Landau–Ginzburg model. Even though table-top versions of several TPMS have been placed within easy reach by rapid prototyping methods, the inherent complexity of many of these surfaces makes it challenging to grasp their structure. The problem of distinguishing TPMS, which is now acute because of the proliferation of examples, has been addressed by Lord & Mackay (Lord & Mackay 2003 Curr. Sci. 85, 346–362). PMID:24098851

The Transition from Mathematician to Astrophysicist

NASA Astrophysics Data System (ADS)

Flannery, M. R.

Various landmarks in the evolution of Alexander Dalgarno from a gifted mathematician to becoming the acknowledged Father of Molecular Astrophysics are noted. His researches in basic atomic and molecular physics, aeronomy (the study of the upper atmosphere) and astrophysics are highlighted.

The Physics of Vibration

NASA Astrophysics Data System (ADS)

Pippard, A. B.

1989-11-01

The study of vibration in physical systems is an important part of almost all fields in physics and engineering. This work, originally published in two volumes, examines the classical aspects in Part I and the quantum oscillator in Part II. The classical linear vibrator is treated first and the underlying unity of all linear oscillations in electrical, mechanical and acoustic systems is emphasized. Following this the book turns to the treatment of nonlinear vibrations, a field with which engineers and physicists are generally less familiar. In Part II the emphasis turns to quantum systems, that is those systems which can only be adequately described by quantum mechanics. The treatment concentrates on vibrations in atoms and molecules and their interaction with electromagnetic radiation. The similarities of classical and quantum methods are stressed and the limits of the classical treatment are examined. Throughout the book, each phenomenon discussed is illustrated with many examples and theory and experiment are compared. Although the reader may find that the physics discussed is demanding and the concepts are subtle in places, all mathematics used is familiar to both engineers and experimental scientists. Although not a textbook this is a useful introduction to the more advanced mathematical treatment of vibrations as it bridges the gap between the basic principles and more specialized concepts. It will be of great interest to advanced undergraduates and postgraduates as well as applied mathematicians, physicists and engineers in university and industry.

Mathematics delivering the advantage: the role of mathematicians in manufacturing and beyond.

PubMed

Saward, Vicki

2017-05-01

Much has been written about the benefits that mathematics can bring to the UK economy and the manufacturing sector in particular, but less on the value of mathematicians and a mathematical training. This article, written from an industry perspective, considers the value of mathematicians to the UK's industrial base and the importance to the UK economy of encouraging young people in the UK to choose to study mathematics at school as a gateway to a wide range of careers. The points are illustrated using examples from the author's 20 years' experience in the security and intelligence and manufacturing sectors.

Accommodation in the formal world of mathematical thinking

NASA Astrophysics Data System (ADS)

Stewart, Sepideh; Schmidt, Ralf

2017-11-01

In this study, we examined a mathematician and one of his students' teaching journals and thought processes concurrently as the class was moving towards the proof of the Fundamental Theorem of Galois Theory. We employed Tall's framework of three worlds of mathematical thinking as well as Piaget's notion of accommodation to theoretically study the narratives. This paper reveals the pedagogical challenges of proving an elegant theory as the events unfolded. Although the mathematician was conscious of the students' abilities as he carefully made the path accessible, the disparity between the mind of the mathematician and the student became apparent.

Leonid Pavlovich Shil'nikov (obituary)

NASA Astrophysics Data System (ADS)

Anosov, Dmitry V.; Afraimovich, Valentin S.; Bunimovich, Leonid A.; Gonchenko, Sergei V.; Grines, Vyacheslav Z.; Ilyashenko, Yulij S.; Katok, Anatolii B.; Kashchenko, Sergey A.; Kozlov, Valerii V.; Lerman, Lev M.; Morozov, Albert D.; Neishtadt, Anatolii I.; Pesin, Yakov B.; Samoilenko, Anatoly M.; Sinai, Yakov G.; Treschev, Dmitrii V.; Turaev, Dmitry V.; Sharkovskii, Aleksandr N.; Shil'nikov, Andrei L.

2012-06-01

A remarkable mathematician, one of the most prominent specialists in the theory of dynamical systems and bifurcation theory, a laureate of the Lyapunov Prize of the Russian Academy of Sciences and of the Lavren'ev Prize of the National Academy of Sciences of Ukraine, a Humboldt Professor, Head of the Department of Differential Equations of the Research Institute of Applied Mathematics and Cybernetics of Nizhnii Novgorod University, Professor Leonid Pavlovich Shil'nikov passed away on 26 December 2011.

Wave Propagation in Inhomogeneous Excitable Media

NASA Astrophysics Data System (ADS)

Zykov, Vladimir S.; Bodenschatz, Eberhard

2018-03-01

Excitable media are ubiquitous in nature and can be found in physical, chemical, and biological systems that are far from thermodynamic equilibrium. The spatiotemporal self-organization of these systems has long attracted the deep interest of condensed matter physicists and applied mathematicians alike. Spatial inhomogeneity of excitable media leads to nontrivial spatiotemporal dynamics. Here, we report on well-established as well as recent developments in the experimental and theoretical studies of inhomogeneous excitable media.

Making Mathematics.

ERIC Educational Resources Information Center

Huckstep, Peter

2002-01-01

Contends teachers must resist the temptation to suggest that, while children can create stories and melodies, they cannot create mathematics. Quotes mathematician G. H. Hardy: "A mathematician, like a painter or poet, is a 'maker' of patterns." Considers mathematics should be able to stand up for itself. (BT)

The Vector Calculus Gap: Mathematics (Does Not Equal) Physics.

ERIC Educational Resources Information Center

Dray, Tevian; Manogue, Corinne A.

1999-01-01

Discusses some of the differences between the ways mathematicians and physicists view vector calculus and the gap between the way this material is traditionally taught by mathematicians and the way physicists use it. Suggests some ways to narrow the gap. (Author/ASK)

Giftedness and Aesthetics: Perspectives of Expert Mathematicians and Mathematically Gifted Students

ERIC Educational Resources Information Center

Tjoe, Hartono

2015-01-01

Giftedness in mathematics has been characterized by exceptional attributes including strong mathematical memory, formalizing perception, generalization, curtailment, flexibility, and elegance. Focusing on the last attribute, this study examined the following: (a) the criteria which expert mathematicians and mathematically gifted students fleshed…

Final Report for "Implimentation and Evaluation of Multigrid Linear Solvers into Extended Magnetohydrodynamic Codes for Petascale Computing"

DOE Office of Scientific and Technical Information (OSTI.GOV)

Srinath Vadlamani; Scott Kruger; Travis Austin

Extended magnetohydrodynamic (MHD) codes are used to model the large, slow-growing instabilities that are projected to limit the performance of International Thermonuclear Experimental Reactor (ITER). The multiscale nature of the extended MHD equations requires an implicit approach. The current linear solvers needed for the implicit algorithm scale poorly because the resultant matrices are so ill-conditioned. A new solver is needed, especially one that scales to the petascale. The most successful scalable parallel processor solvers to date are multigrid solvers. Applying multigrid techniques to a set of equations whose fundamental modes are dispersive waves is a promising solution to CEMM problems.more » For the Phase 1, we implemented multigrid preconditioners from the HYPRE project of the Center for Applied Scientific Computing at LLNL via PETSc of the DOE SciDAC TOPS for the real matrix systems of the extended MHD code NIMROD which is a one of the primary modeling codes of the OFES-funded Center for Extended Magnetohydrodynamic Modeling (CEMM) SciDAC. We implemented the multigrid solvers on the fusion test problem that allows for real matrix systems with success, and in the process learned about the details of NIMROD data structures and the difficulties of inverting NIMROD operators. The further success of this project will allow for efficient usage of future petascale computers at the National Leadership Facilities: Oak Ridge National Laboratory, Argonne National Laboratory, and National Energy Research Scientific Computing Center. The project will be a collaborative effort between computational plasma physicists and applied mathematicians at Tech-X Corporation, applied mathematicians Front Range Scientific Computations, Inc. (who are collaborators on the HYPRE project), and other computational plasma physicists involved with the CEMM project.« less

Mathematics delivering the advantage: the role of mathematicians in manufacturing and beyond

PubMed Central

2017-01-01

Much has been written about the benefits that mathematics can bring to the UK economy and the manufacturing sector in particular, but less on the value of mathematicians and a mathematical training. This article, written from an industry perspective, considers the value of mathematicians to the UK's industrial base and the importance to the UK economy of encouraging young people in the UK to choose to study mathematics at school as a gateway to a wide range of careers. The points are illustrated using examples from the author's 20 years' experience in the security and intelligence and manufacturing sectors. PMID:28588416

Mathematicians and the Selection Task

ERIC Educational Resources Information Center

Inglis, Matthew; Simpson, Adrian

2004-01-01

Learning to think logically and present ideas in a logical fashion has always been considered a central part of becoming a mathematician. In this paper we compare the performance of three groups: mathematics undergraduates, mathematics staff and history undergraduates (representative of a "general population"). These groups were asked to solve…

The Great Mathematician Project

ERIC Educational Resources Information Center

Goldberg, Sabrina R.

2013-01-01

The Great Mathematician Project (GMP) introduces both mathematically sophisticated and struggling students to the history of mathematics. The rationale for the GMP is twofold: first, mathematics is a uniquely people-centered discipline that is used to make sense of the world; and second, students often express curiosity about the history of…

Yeast for Mathematicians: A Ferment of Discovery and Model Competition to Describe Data.

PubMed

Lewis, Matthew; Powell, James

2017-02-01

In addition to the memorization, algorithmic skills and vocabulary which are the default focus in many mathematics classrooms, professional mathematicians are expected to creatively apply known techniques, construct new mathematical approaches and communicate with and about mathematics. We propose that students can learn these professional, higher-level skills through Laboratory Experiences in Mathematical Biology which put students in the role of mathematics researcher creating mathematics to describe and understand biological data. Here we introduce a laboratory experience centered on yeast (Saccharomyces cerevisiae) growing in a small capped flask with a jar to collect carbon dioxide created during yeast growth and respiration. The lab requires no specialized equipment and can easily be run in the context of a college math class. Students collect data and develop mathematical models to explain the data. To help place instructors in the role of mentor/collaborator (as opposed to jury/judge), we facilitate the lab using model competition judged via Bayesian Information Criterion. This article includes details about the class activity conducted, student examples and pedagogical strategies for success.

A Review of Mathematical Models for Leukemia and Lymphoma

PubMed Central

Clapp, Geoffrey; Levy, Doron

2014-01-01

Recently, there has been significant activity in the mathematical community, aimed at developing quantitative tools for studying leukemia and lymphoma. Mathematical models have been applied to evaluate existing therapies and to suggest novel therapies. This article reviews the recent contributions of mathematical modeling to leukemia and lymphoma research. These developments suggest that mathematical modeling has great potential in this field. Collaboration between mathematicians, clinicians, and experimentalists can significantly improve leukemia and lymphoma therapy. PMID:26744598

Extraordinary Tools for Extraordinary Science: The Impact ofSciDAC on Accelerator Science&Technology

DOE Office of Scientific and Technical Information (OSTI.GOV)

Ryne, Robert D.

2006-08-10

Particle accelerators are among the most complex and versatile instruments of scientific exploration. They have enabled remarkable scientific discoveries and important technological advances that span all programs within the DOE Office of Science (DOE/SC). The importance of accelerators to the DOE/SC mission is evident from an examination of the DOE document, ''Facilities for the Future of Science: A Twenty-Year Outlook''. Of the 28 facilities listed, 13 involve accelerators. Thanks to SciDAC, a powerful suite of parallel simulation tools has been developed that represent a paradigm shift in computational accelerator science. Simulations that used to take weeks or more now takemore » hours, and simulations that were once thought impossible are now performed routinely. These codes have been applied to many important projects of DOE/SC including existing facilities (the Tevatron complex, the Relativistic Heavy Ion Collider), facilities under construction (the Large Hadron Collider, the Spallation Neutron Source, the Linac Coherent Light Source), and to future facilities (the International Linear Collider, the Rare Isotope Accelerator). The new codes have also been used to explore innovative approaches to charged particle acceleration. These approaches, based on the extremely intense fields that can be present in lasers and plasmas, may one day provide a path to the outermost reaches of the energy frontier. Furthermore, they could lead to compact, high-gradient accelerators that would have huge consequences for US science and technology, industry, and medicine. In this talk I will describe the new accelerator modeling capabilities developed under SciDAC, the essential role of multi-disciplinary collaboration with applied mathematicians, computer scientists, and other IT experts in developing these capabilities, and provide examples of how the codes have been used to support DOE/SC accelerator projects.« less

Extraordinary tools for extraordinary science: the impact of SciDAC on accelerator science and technology

NASA Astrophysics Data System (ADS)

Ryne, Robert D.

2006-09-01

Particle accelerators are among the most complex and versatile instruments of scientific exploration. They have enabled remarkable scientific discoveries and important technological advances that span all programs within the DOE Office of Science (DOE/SC). The importance of accelerators to the DOE/SC mission is evident from an examination of the DOE document, ''Facilities for the Future of Science: A Twenty-Year Outlook.'' Of the 28 facilities listed, 13 involve accelerators. Thanks to SciDAC, a powerful suite of parallel simulation tools has been developed that represent a paradigm shift in computational accelerator science. Simulations that used to take weeks or more now take hours, and simulations that were once thought impossible are now performed routinely. These codes have been applied to many important projects of DOE/SC including existing facilities (the Tevatron complex, the Relativistic Heavy Ion Collider), facilities under construction (the Large Hadron Collider, the Spallation Neutron Source, the Linac Coherent Light Source), and to future facilities (the International Linear Collider, the Rare Isotope Accelerator). The new codes have also been used to explore innovative approaches to charged particle acceleration. These approaches, based on the extremely intense fields that can be present in lasers and plasmas, may one day provide a path to the outermost reaches of the energy frontier. Furthermore, they could lead to compact, high-gradient accelerators that would have huge consequences for US science and technology, industry, and medicine. In this talk I will describe the new accelerator modeling capabilities developed under SciDAC, the essential role of multi-disciplinary collaboration with applied mathematicians, computer scientists, and other IT experts in developing these capabilities, and provide examples of how the codes have been used to support DOE/SC accelerator projects.

[Jena philosophies of nature around 1800].

PubMed

Breidbach, O

2000-01-01

This paper describes the situation and the outline of positions in philosophy of nature in Jena about 1800, in focusing on research other than the key figures Schelling and Hegel. In 1789, Schelling introduced philosophy of nature into the course program of Jena University. Already in 1800, two young scientists--a mathematician (Fischer) and a physiologist--reacted, announcing lectures on Schellingian topics. But only in late 1802, younger philosophers offered courses on those topics. From 1802 onwards, lectures were announced by Schad, Krause, Henrici, Hegel, Oken and the botanist Schelver. Apart from the Fisher lecture from 1800, the program of these presentations was based on Schellingian principles. Analyses of the ideas of Schad, Krause and Schelver show that, about 1800, philosophy of nature in Jena conserved basic ideas of the early philosophy of nature of Schelling. Thus, philosophy of nature in this period of Jena University seemed to follow just one line of reasoning.

National Calendar-2009

NASA Astrophysics Data System (ADS)

Ghedrovici, Vera; Svet, Maria; Matvei, Valeria; Perju, Elena; Sargun, Maria; Netida, Maria

2009-10-01

The calendar represents a few hundreds of biographies of scientists, artists and writers from everywhere, printed in chronological order and adjusted to their birthdays. A number of international and national holydays, including some refering to science are included in the Calendar. A great deffect of the Calendar is the introduction in the list of holydays of the "international day of astrology". Another defect is the absence of the indication of the membership to Communist Parties for persons cited from the former USSR and former Communist Countries. The following physicists, astronomers and mathematicians had biographies in the actual issue: Kon, Lia Z., Arnautov, Vladimir I. (math), Tsukerblat, B., Kapitza, P., Donici (Donitch), N.N., Sklodowska-Curie, Maria, da Vinci, Leonardo, Birkhof, George David, Galilei, Galileo, Pisarzhveskij, Lev (chemist), Mossbauer, Rudolf Ludwig, Clochisner (Klokishner), Sofia I., Miscoi (Mishkoy), Gh. (Math), Mendel, Gregor Lohan (genet.), Glavan, Vasile (math), Chetrus (Ketrush), P. (chem), Bostan, Ion (mech. eng.), Boltzmann, Ludwig Ed.

Biological insight, high-throughput datasets and the nature of neuro-degenerative disorders.

PubMed

Valente, André X C N; Oliveira, Paulo J; Khaiboullina, Svetlana F; Palotás, András; Rizvanov, Albert A

2013-09-01

Life sciences are experiencing a historical shift towards a quantitative, data-rich regime. This transition has been associated with the advent of bio-informatics: mathematicians, physicists, computer scientists and statisticians are now commonplace in the field, working on the analysis of ever larger data-sets. An open question regarding what should drive scientific progress in this new era remains: will biological insight become increasingly irrelevant in a world of hypothesis-free, unbiased data analysis? This piece offers a different perspective, pin-pointing that biological thought is more-than-ever relevant in a data-rich setting. Some of the novel highthroughput information being acquired in the field of neuro-degenerative disorders is highlighted here. As but one example of how theory and experiment can interact in this new reality, our efforts in developing an idiopathic neuro-degenerative disease hematopoietic stemcell ageing theory are described.

Prophet”or Professor? The Life and Work of Lewis Fry Richardson

NASA Astrophysics Data System (ADS)

Smagorinsky, Joseph

This book focuses on a man who, in his lifetime, was scarcely known to the general public. Yet within certain circles, Richardson has had enormous impact within recent years. Although there are many scientists and humanists who exercise influence in their own respective fields, rarely do they bridge disciplines. It is this combination that has made Lewis Fry Richardson a figure worthy of a full-length biography, not just to record his contributions to each field but to provide an analysis and understanding of what motivated his diversity. In another age, Richardson would have been counted as a Renaissance man. He has variously been referred to as a chemist, physicist, mathematician, psychologist, meteorologist, economist, and biologist. In retrospect, he clearly was well ahead of his time, whether the subject in question was his work in numerical weather prediction or in war studies.

[Thomas Fincke and trigonometry].

PubMed

Schönbeck, Jürgen

2004-01-01

Thomas Fincke (January 6th, 1561 - April 24th, 1650), born in Flensburg (Germany), was one of the very most important and significant scientists in Denmark during the seventeenth century, a mathematician and astrologer and physician in the beginning of modern science, a representative of humanism and an influentual academic organizer. He studied in Strasbourg (since 1577) and Padua (since 1583) and received his M.D. in Basel (1587), he practised as a physician throughtout his life (since 1587 or 1590) and became a professor at Copenhagen (1591). But he was best known because of his Geometriae rotundi libri XIIII (1583), a famous book on plane and spherical trigonometry, based not on Euclid but on Petrus Ramus. In this influentual work, in which Fincke introduced the terms tangent and secant and probable first noticed the Law of Tangents and the so-called Newton-Oppel-Mauduit-Simpson-Mollweide-Gauss-formula, he showed himself to be ,,abreast of the mathematics of his time".

The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof

ERIC Educational Resources Information Center

Borwein, Jonathan M.

2005-01-01

The emergence of powerful mathematical computing environments, the growing availability of correspondingly powerful (multi-processor) computers and the pervasive presence of the Internet allow for mathematicians, students and teachers, to proceed heuristically and "quasi-inductively." We may increasingly use symbolic and numeric computation,…

Three Styles Characterising Mathematicians' Pedagogical Perspectives on Proof

ERIC Educational Resources Information Center

Hemmi, Kirsti

2010-01-01

The article describes mathematicians' pedagogical perspectives on proof in the teaching of first year university students at a mathematics department in Sweden. A conceptual frame that was used in the data analysis combines theories about proof from earlier mathematics education research with a social practice approach of Lave and Wenger. A…

How Mathematicians Obtain Conviction: Implications for Mathematics Instruction and Research on Epistemic Cognition

ERIC Educational Resources Information Center

Weber, Keith; Inglis, Matthew; Mejia-Ramos, Juan Pablo

2014-01-01

The received view of mathematical practice is that mathematicians gain certainty in mathematical assertions by deductive evidence rather than empirical or authoritarian evidence. This assumption has influenced mathematics instruction where students are expected to justify assertions with deductive arguments rather than by checking the assertion…

Expert and Novice Approaches to Reading Mathematical Proofs

ERIC Educational Resources Information Center

Inglis, Matthew; Alcock, Lara

2012-01-01

A comparison of the proof validation behavior of beginning undergraduate students and research-active mathematicians is explored. Participants' eye movements were recorded as they validated purported proofs. The main findings are that (a) contrary to previous suggestions, mathematicians sometimes appear to disagree about the validity of even short…

Mathematicians' and Math Educators' Views on "Doing Mathematics"

ERIC Educational Resources Information Center

Brandt, Jim; Lunt, Jana; Meilstrup, Gretchen Rimmasch

2016-01-01

Educators often argue that mathematics should be taught so that the students in the course are actually "doing mathematics." Is there a consensus among mathematicians and mathematics educators as to the meaning of "doing mathematics?" In an effort to answer this question, we administered a survey to hundreds of university-level…

The National Cancer Institute's Physical Sciences - Oncology Network

NASA Astrophysics Data System (ADS)

Espey, Michael Graham

In 2009, the NCI launched the Physical Sciences - Oncology Centers (PS-OC) initiative with 12 Centers (U54) funded through 2014. The current phase of the Program includes U54 funded Centers with the added feature of soliciting new Physical Science - Oncology Projects (PS-OP) U01 grant applications through 2017; see NCI PAR-15-021. The PS-OPs, individually and along with other PS-OPs and the Physical Sciences-Oncology Centers (PS-OCs), comprise the Physical Sciences-Oncology Network (PS-ON). The foundation of the Physical Sciences-Oncology initiative is a high-risk, high-reward program that promotes a `physical sciences perspective' of cancer and fosters the convergence of physical science and cancer research by forming transdisciplinary teams of physical scientists (e.g., physicists, mathematicians, chemists, engineers, computer scientists) and cancer researchers (e.g., cancer biologists, oncologists, pathologists) who work closely together to advance our understanding of cancer. The collaborative PS-ON structure catalyzes transformative science through increased exchange of people, ideas, and approaches. PS-ON resources are leveraged to fund Trans-Network pilot projects to enable synergy and cross-testing of experimental and/or theoretical concepts. This session will include a brief PS-ON overview followed by a strategic discussion with the APS community to exchange perspectives on the progression of trans-disciplinary physical sciences in cancer research.

BOOK REVIEW: Symmetry and the Monster: One of the Greatest Quests of Mathematics

NASA Astrophysics Data System (ADS)

Szabo, R. J.

2007-04-01

The book Symmetry and the Monster: One of the Greatest Quests of Mathematics describes historical events leading up to the discovery of the Monster sporadic group, the largest simple sporadic group. It also expounds the significance and deep relationships between this group and other areas of mathematics and theoretical physics. It begins, in the prologue, with a nice overview of some of the mathematical drama surrounding the discovery of the Monster and its subsequent relationship to number theory (the so-called Moonshine conjectures). From a historical perspective, the book traces back to the roots of group theory, Galois theory, and steadily runs through time through the many famous mathematicians who contributed to group theory, including Lie, Killing and Cartan. Throughout, the author has provided a very nice and deep insight into the sociological and scientific problems at the time, and gives the reader a very prominent inside view of the real people behind the mathematics. The book should be an enjoyable read to anyone with an interest in the history of mathematics. For the non-mathematician the book makes a good, and mostly successful, attempt at being non-technical. Technical mathematical jargon is replaced with more heuristic, intuitive terminology, making the mathematical descriptions in the book fairly easy going. A glossary\\hspace{0.25pc} of\\hspace{0.25pc} terminology for noindent the more scientifically inclined is included in various footnotes throughout the book and in a comprehensive listing at the end of the book. Some more technical material is also included in the form of appendices at the end of the book. Some aspects of physics are also explained in a simple, intuitive way. The author further attempts at various places to give the non-specialist a glimpse into what mathematical proof is all about, and explains the difficulties and technicalities involved in this very nicely (for instance, he mentions the various 100+ page articles that appeared in the hey-day of finite group theory, indicating the enormous technical nature of the subject). The book nicely paints a dramatic landscape leading up to the discovery of the Monster group, and the problems that remain to this day in trying to understand its significance. One can really take from this book a feel of the mathematics leading up to its appearance, and the importance of the classification problem which was responsible for this. One also really gets an appreciation of the efforts and commitments of the mathematicians who contributed to the subject. All in all, this book achieves a nice balance between providing a beautiful historical account of group theory, and explaining the classification problem for finite groups in a way that is accessible to non-scientists. This should prove to be a good read for both the layperson interested in mathematics or mathematical physics, and also both mathematicians and physicists alike.

The Cyclic Nature of Problem Solving: An Emergent Multidimensional Problem-Solving Framework

ERIC Educational Resources Information Center

Carlson, Marilyn P.; Bloom, Irene

2005-01-01

This paper describes the problem-solving behaviors of 12 mathematicians as they completed four mathematical tasks. The emergent problem-solving framework draws on the large body of research, as grounded by and modified in response to our close observations of these mathematicians. The resulting "Multidimensional Problem-Solving Framework" has four…

Final Report of Cambridge Conference on School Mathematics, January 1962 - August 1970.

ERIC Educational Resources Information Center

Cambridge Conference on School Mathematics, Newton, MA.

The Cambridge Conference on School Mathematics (CCSM) was an association of prominent mathematicians who had a concern for mathematics education at school level, from kindergarten through grade twelve. These mathematicians organized three main conferences in three areas of mathematics education, and have carried on activities related to the…

The Experience of Security in Mathematics

ERIC Educational Resources Information Center

Charalampous, Eleni; Rowland, Tim

2013-01-01

In this paper, we report some findings from an investigation of a topic related to affect and mathematics which is not well-represented in the literature. For some mathematicians, mathematics itself is a source of security in an uncertain world, and we investigated this feeling and experience in the case of 19 adult mathematicians working in…

Group Theory, Computational Thinking, and Young Mathematicians

ERIC Educational Resources Information Center

Gadanidis, George; Clements, Erin; Yiu, Chris

2018-01-01

In this article, we investigate the artistic puzzle of designing mathematics experiences (MEs) to engage young children with ideas of group theory, using a combination of hands-on and computational thinking (CT) tools. We elaborate on: (1) group theory and why we chose it as a context for young mathematicians' experiences with symmetry and…

How Do Mathematicians Learn Math?: Resources and Acts for Constructing and Understanding Mathematics

ERIC Educational Resources Information Center

Wilkerson-Jerde, Michelle H.; Wilensky, Uri J.

2011-01-01

In this paper, we present an analytic framework for investigating expert mathematical learning as the process of building a "network of mathematical resources" by establishing relationships between different components and properties of mathematical ideas. We then use this framework to analyze the reasoning of ten mathematicians and mathematics…

Imagining the Mathematician: Young People Talking about Popular Representations of Maths

ERIC Educational Resources Information Center

Epstein, Debbie; Mendick, Heather; Moreau, Marie-Pierre

2010-01-01

This paper makes both a critical analysis of some popular cultural texts about mathematics and mathematicians, and explores the ways in which young people deploy the discourses produced in these texts. We argue that there are particular (and sometimes contradictory) meanings and discourses about mathematics that circulate in popular culture, that…

Learning at the Boundaries: Collaboration between Mathematicians and Mathematics Educators within and across Institutions

ERIC Educational Resources Information Center

Bennison, Anne; Goos, Merrilyn

2016-01-01

Collaboration between mathematicians and mathematics educators may provide a means of improving the quality of pre-service teacher education for prospective teachers of mathematics. Some preliminary findings of a project that investigates this type of interdisciplinary collaboration, both within and across institutions, are reported on in this…

A Fruitful Exchange/Conflict: Engineers and Mathematicians in Early Modern Italy

ERIC Educational Resources Information Center

Maffioli, Cesare S.

2013-01-01

Exchanges of learning and controversies between engineers and mathematicians were important factors in the development of early modern science. This theme is discussed by focusing, first, on architectural and mathematical dynamism in mid 16th-century Milan. While some engineers-architects referred to Euclid and Vitruvius for improving their…

Teachers' Beliefs about School Mathematics and Mathematicians' Mathematics and Their Relationship to Practice

ERIC Educational Resources Information Center

Beswick, Kim

2012-01-01

There is broad acceptance that mathematics teachers' beliefs about the nature of mathematics influence the ways in which they teach the subject. It is also recognised that mathematics as practised in typical school classrooms is different from the mathematical activity of mathematicians. This paper presents case studies of two secondary…

Increasing Awareness of Practice through Interaction across Communities: The Lived Experiences of a Mathematician and Mathematics Teacher Educator

ERIC Educational Resources Information Center

Bleiler, Sarah K.

2015-01-01

Collaborations between mathematicians and mathematics teacher educators are increasingly being expected, and realized, within the context of mathematics teacher education. Most research related to collaborative efforts between members of the mathematics and mathematics education communities has focused on the products, rather than the process of…

Computational Models of Rock Failure

NASA Astrophysics Data System (ADS)

May, Dave A.; Spiegelman, Marc

2017-04-01

Practitioners in computational geodynamics, as per many other branches of applied science, typically do not analyse the underlying PDE's being solved in order to establish the existence or uniqueness of solutions. Rather, such proofs are left to the mathematicians, and all too frequently these results lag far behind (in time) the applied research being conducted, are often unintelligible to the non-specialist, are buried in journals applied scientists simply do not read, or simply have not been proven. As practitioners, we are by definition pragmatic. Thus, rather than first analysing our PDE's, we first attempt to find approximate solutions by throwing all our computational methods and machinery at the given problem and hoping for the best. Typically this approach leads to a satisfactory outcome. Usually it is only if the numerical solutions "look odd" that we start delving deeper into the math. In this presentation I summarise our findings in relation to using pressure dependent (Drucker-Prager type) flow laws in a simplified model of continental extension in which the material is assumed to be an incompressible, highly viscous fluid. Such assumptions represent the current mainstream adopted in computational studies of mantle and lithosphere deformation within our community. In short, we conclude that for the parameter range of cohesion and friction angle relevant to studying rocks, the incompressibility constraint combined with a Drucker-Prager flow law can result in problems which have no solution. This is proven by a 1D analytic model and convincingly demonstrated by 2D numerical simulations. To date, we do not have a robust "fix" for this fundamental problem. The intent of this submission is to highlight the importance of simple analytic models, highlight some of the dangers / risks of interpreting numerical solutions without understanding the properties of the PDE we solved, and lastly to stimulate discussions to develop an improved computational model of rock failure suitable for geodynamic studies.

Applied Mathematicians and Naval Operators. Revised.

DTIC Science & Technology

1982-03-01

sensor . They guided me into areas that few of the officers were aware of. 2.4. Hemibel Thinking. A complicated analysis that leads to a 2 percent increase...Editor, Journal of Documentation, Vol. 31, PP 226 No. 4. pages 298-501), Deceber 1975), AD A054 426 Ralston, J. N. and J. W. Mann,* " Temperatura end...Apr 78, AD A054 443 AD A058 542 PP 221 PP 231 Wainlad. Robert G.. "Superpower Navel Diplo nacy In the Wilson, De ond P., Jr., "Noval Projection

Numerical methods for studying anharmonic oscillator approximations to the phi super 4 sub 2 quantum field theory

NASA Technical Reports Server (NTRS)

Isaacson, D.; Marchesin, D.; Paes-Leme, P. J.

1980-01-01

This paper is an expanded version of a talk given at the 1979 T.I.C.O.M. conference. It is a self-contained introduction, for applied mathematicians and numerical analysts, to quantum mechanics and quantum field theory. It also contains a brief description of the authors' numerical approach to the problems of quantum field theory, which may best be summarized by the question; Can we compute the eigenvalues and eigenfunctions of Schrodinger operators in infinitely many variables.

Computer Code Gives Astrophysicists First Full Simulation of Star's Final Hours

ScienceCinema

Andy Nonaka

2017-12-09

The precise conditions inside a white dwarf star in the hours leading up to its explosive end as a Type Ia supernova are one of the mysteries confronting astrophysicists studying these massive stellar explosions. But now, a team of researchers, composed of three applied mathematicians at the U.S. Department of Energy's (DOE) Lawrence Berkeley National Laboratory and two astrophysicists, has created the first full-star simulation of the hours preceding the largest thermonuclear explosions in the universe.

Aerospace applications of integer and combinatorial optimization

NASA Technical Reports Server (NTRS)

Padula, S. L.; Kincaid, R. K.

1995-01-01

Research supported by NASA Langley Research Center includes many applications of aerospace design optimization and is conducted by teams of applied mathematicians and aerospace engineers. This paper investigates the benefits from this combined expertise in solving combinatorial optimization problems. Applications range from the design of large space antennas to interior noise control. A typical problem, for example, seeks the optimal locations for vibration-damping devices on a large space structure and is expressed as a mixed/integer linear programming problem with more than 1500 design variables.

Big Data, Deep Learning and Tianhe-2 at Sun Yat-Sen University, Guangzhou

NASA Astrophysics Data System (ADS)

Yuen, D. A.; Dzwinel, W.; Liu, J.; Zhang, K.

2014-12-01

In this decade the big data revolution has permeated in many fields, ranging from financial transactions, medical surveys and scientific endeavors, because of the big opportunities people see ahead. What to do with all this data remains an intriguing question. This is where computer scientists together with applied mathematicians have made some significant inroads in developing deep learning techniques for unraveling new relationships among the different variables by means of correlation analysis and data-assimilation methods. Deep-learning and big data taken together is a grand challenge task in High-performance computing which demand both ultrafast speed and large memory. The Tianhe-2 recently installed at Sun Yat-Sen University in Guangzhou is well positioned to take up this challenge because it is currently the world's fastest computer at 34 Petaflops. Each compute node of Tianhe-2 has two CPUs of Intel Xeon E5-2600 and three Xeon Phi accelerators. The Tianhe-2 has a very large fast memory RAM of 88 Gigabytes on each node. The system has a total memory of 1,375 Terabytes. All of these technical features will allow very high dimensional (more than 10) problem in deep learning to be explored carefully on the Tianhe-2. Problems in seismology which can be solved include three-dimensional seismic wave simulations of the whole Earth with a few km resolution and the recognition of new phases in seismic wave form from assemblage of large data sets.

Conversations about Curriculum Change: Mathematical Thinking and Team-Based Learning in a Discrete Mathematics Course

ERIC Educational Resources Information Center

Paterson, Judy; Sneddon, Jamie

2011-01-01

This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused…

Examining the Image of Prospective Teachers towards Mathematicians

ERIC Educational Resources Information Center

Yazlik, Derya Ozlem; Erdogan, Ahmet

2018-01-01

The aim of this study is to identify how prospective teachers see mathematicians by the pictures they visualized. In accordance with this purpose phenomenology pattern which is one of the qualitative patterns was used. The study was carried out with 160 volunteered prospective teachers. The data collection tool to be used in this study consists of…

John Todd--Numerical Mathematics Pioneer

ERIC Educational Resources Information Center

Albers, Don

2007-01-01

John Todd, now in his mid-90s, began his career as a pure mathematician, but World War II interrupted that. In this interview, he talks about his education, the significant developments in his becoming a numerical analyst, and the journey that concluded at Caltech. Among the interesting stories are how he met his wife-to-be the mathematician Olga…

My Experience with Alcohol, a 17th-Century Mathematician, and a Personal Decision

ERIC Educational Resources Information Center

Eaton, Dennis R.; Rector, Sheila M.

2009-01-01

This writing shares the first author's personal experience with alcohol, the negative consequences of his choices, and the ultimate answering of the question, "Am I an alcoholic and should I drink again?" The decision-making process and the eventual answer come from Blaise Pascal, a 17th-century mathematician. This process is explained and…

Do Mathematicians Integrate Computer Algebra Systems in University Teaching? Comparing a Literature Review to an International Survey Study

ERIC Educational Resources Information Center

Marshall, Neil; Buteau, Chantal; Jarvis, Daniel H.; Lavicza, Zsolt

2012-01-01

We present a comparative study of a literature review of 326 selected contributions (Buteau, Marshall, Jarvis & Lavicza, 2010) to an international (US, UK, Hungary) survey of mathematicians (Lavicza, 2008) regarding the use of Computer Algebra Systems (CAS) in post-secondary mathematics education. The comparison results are organized with respect…

Voices of Women Mathematicians: Understanding Their Success Using a Narrative Approach to Inquiry.

ERIC Educational Resources Information Center

Anderson, Dawn Leigh

This study investigated the lives of six women mathematicians to describe the factors and experiences that led each woman to become successful in mathematics. Because "voice" was used as a metaphor in this study, emphasis was placed on listening to and interpreting the participants' voices. The study used narrative inquiry to investigate…

The Academic and the Everyday in Mathematicians' Talk: The Case of the Hyper-Bagel

ERIC Educational Resources Information Center

Barwell, Richard

2013-01-01

Mathematics curricula increasingly emphasise the importance of mathematical communication. Students are seen as progressing from the use of a more informal or everyday form of communication to a more mathematical approach. There have, however, been very few studies of how mathematicians actually talk about mathematics. This paper reports analysis…

Mathematical Experiences and Parental Involvement of Parents Who Are and Who Are Not Mathematicians

ERIC Educational Resources Information Center

Antolin Drešar, Darja; Lipovec, Alenka

2017-01-01

Previous studies suggest that parental involvement in children's mathematics education is more established for parents who feel competent in mathematics. This qualitative study aimed to gain an in-depth insight into the experiences of parental involvement of two different groups of parents: those who are mathematicians and those who are not. Data…

Mary Somerville, mathematician and astronomer of underused talents

NASA Astrophysics Data System (ADS)

Bruck, M. T.

1996-08-01

Mary Somerville (1780-1872), self-taught mathematician, expert on theoretical astronomy and successful writer, has been described as `the most remarkable woman of her generation'. The publication of her mathematical treatise The Mechanism of the Heavens in 1831, followed by the more popular Connexion of the Physical Sciences in 1834, made her an international celebrity. Her life and work is described.

"I Can Actually Be Very Feminine Here": Contradiction and Hybridity in becoming a Female Mathematician

ERIC Educational Resources Information Center

Solomon, Yvette; Radovic, Darinka; Black, Laura

2016-01-01

A common theme in accounts of choosing mathematics is that of persistence in the face of troubles or difficulties which are often associated with the structuring effects of gender, class, culture and ethnicity. Centring on an analysis of one woman's account of becoming a mathematician, we build on our understanding of multiple and developing…

Why and How Mathematicians Read Proofs: An Exploratory Study

ERIC Educational Resources Information Center

Weber, Keith; Mejia-Ramos, Juan Pablo

2011-01-01

In this paper, we report a study in which nine research mathematicians were interviewed with regard to the goals guiding their reading of published proofs and the type of reasoning they use to reach these goals. Using the data from this study as well as data from a separate study (Weber, "Journal for Research in Mathematics Education" 39:431-459,…

On the Integration of Computer Algebra Systems (CAS) by Canadian Mathematicians: Results of a National Survey

ERIC Educational Resources Information Center

Buteau, Chantal; Jarvis, Daniel H.; Lavicza, Zsolt

2014-01-01

In this article, we outline the findings of a Canadian survey study (N = 302) that focused on the extent of computer algebra systems (CAS)-based technology use in postsecondary mathematics instruction. Results suggest that a considerable number of Canadian mathematicians use CAS in research and teaching. CAS use in research was found to be the…

Acting Like a Mathematician: A Project to Encourage Inquiry Early in the Math Major

ERIC Educational Resources Information Center

Camenga, Kristin A.

2017-01-01

Inquiry is promoted as a way to engage students so that they learn more deeply; inquiry is also an end in itself, introducing students to the research process and the behaviors of a mathematician. This article reflects on an individual exploratory project used in a sophomore-level number theory course, examining how it supported student inquiry…

Multicultural and Gender Equity Issues in a History of Mathematics Course: Not Only Dead European Males

ERIC Educational Resources Information Center

Flores, Alfinio; Kimpton, Kelly E.

2012-01-01

We address issues related to gender and cultural equity in a history of mathematics course. We first look at the preponderance of male European mathematicians represented in textbooks of mathematics and history or mathematics. Then we discuss ways to highlight the presence of female and non-European mathematicians in the history of mathematics.…

The Influence of Sources in the Reading of Mathematical Text: A Reply to Shanahan, Shanahan, and Misischia

ERIC Educational Resources Information Center

Weber, Keith; Mejia-Ramos, Juan Pablo

2013-01-01

In a recent article published in this journal, Shanahan, Shanahan, and Misischia investigated the differences in how chemists, historians, and mathematicians read text specific to their disciplines. Unlike the chemists and historians, the pair of mathematicians in this study did not consider sources when reading and evaluating their text. In this…

On the Sophistication of Naïve Empirical Reasoning: Factors Influencing Mathematicians' Persuasion Ratings of Empirical Arguments

ERIC Educational Resources Information Center

Weber, Keith

2013-01-01

This paper presents the results of an experiment in which mathematicians were asked to rate how persuasive they found two empirical arguments. There were three key results from this study: (a) Participants judged an empirical argument as more persuasive if it verified that integers possessed an infrequent property than if it verified that integers…

The Infinite in the Finite

NASA Astrophysics Data System (ADS)

Macintosh Wilson, Alistair

1996-01-01

A conversation between Euclid and the ghost of Socrates. . . the paths of the moon and the sun charted by the stone-builders of ancient Europe. . .the Greek ideal of the golden mean by which they measured beauty. . . Combining historical fact with a retelling of ancient myths and legends, this lively and engaging book describes the historical, religious and geographical background that gave rise to mathematics in ancient Egypt, Babylon, China, Greece, India, and the Arab world. Each chapter contains a case study where mathematics is applied to the problems of the era, including the area of triangles and volume of the Egyptian pyramids; the Babylonian sexagesimal number system and our present measure of space and time which grew out of it; the use of the abacus and remainder theory in China; the invention of trigonometry by Arab mathematicians; and the solution of quadratic equations by completing the square developed in India. These insightful commentaries will give mathematicians and general historians a better understanding of why and how mathematics arose from the problems of everyday life, while the author's easy, accessible writing style will open fascinating chapters in the history of mathematics to a wide audience of general readers.

Taking the mystery out of mathematical model applications to karst aquifers—A primer

USGS Publications Warehouse

Kuniansky, Eve L.

2014-01-01

Advances in mathematical model applications toward the understanding of the complex flow, characterization, and water-supply management issues for karst aquifers have occurred in recent years. Different types of mathematical models can be applied successfully if appropriate information is available and the problems are adequately identified. The mathematical approaches discussed in this paper are divided into three major categories: 1) distributed parameter models, 2) lumped parameter models, and 3) fitting models. The modeling approaches are described conceptually with examples (but without equations) to help non-mathematicians understand the applications.

Computer Code Gives Astrophysicists First Full Simulation of Star's Final Hours

ScienceCinema

Applin, Bradford; Almgren, Ann S.; Nonaka, Andy

2018-05-11

The precise conditions inside a white dwarf star in the hours leading up to its explosive end as a Type Ia supernova are one of the mysteries confronting astrophysicists studying these massive stellar explosions. But now, a team of researchers, composed of three applied mathematicians at the U.S. Department of Energy's (DOE) Lawrence Berkeley National Laboratory and two astrophysicists, has created the first full-star simulation of the hours preceding the largest thermonuclear explosions in the universe. http://www.lbl.gov/cs/Archive/news091509.html

Calculating degree-based topological indices of dominating David derived networks

NASA Astrophysics Data System (ADS)

Ahmad, Muhammad Saeed; Nazeer, Waqas; Kang, Shin Min; Imran, Muhammad; Gao, Wei

2017-12-01

An important area of applied mathematics is the Chemical reaction network theory. The behavior of real world problems can be modeled by using this theory. Due to applications in theoretical chemistry and biochemistry, it has attracted researchers since its foundation. It also attracts pure mathematicians because it involves interesting mathematical structures. In this report, we compute newly defined topological indices, namely, Arithmetic-Geometric index (AG1 index), SK index, SK1 index, and SK2 index of the dominating David derived networks [1, 2, 3, 4, 5].

Transactions of the Conference of Army Mathematicians (21st) Held at White Sands Missile Range, N. Mex. on 14-16 May 1975

DTIC Science & Technology

1976-02-01

A. Hussain and S. L. Pu . . . . . . . . . . . . . 81 Development and Application of Dynamic r~athematical Models for Evaluation of Military Systems ...Reacting Diffusive Systems Donald S. Cohen ......•.......••..• A New Numerical Method of Solution of Schrodinger’s Equation George Morales and Robert G...Eisenhower Avenue Alexandria. Virginia 22304 DEVELOPMENT AND APPLI CATION OF DYNA~lI C r·1ATHH1ATI CAL MODELS FOR EVALUATION OF MILITARY SYSTEMS , FORCES

Aerospace Applications of Integer and Combinatorial Optimization

NASA Technical Reports Server (NTRS)

Padula, S. L.; Kincaid, R. K.

1995-01-01

Research supported by NASA Langley Research Center includes many applications of aerospace design optimization and is conducted by teams of applied mathematicians and aerospace engineers. This paper investigates the benefits from this combined expertise in formulating and solving integer and combinatorial optimization problems. Applications range from the design of large space antennas to interior noise control. A typical problem, for example, seeks the optimal locations for vibration-damping devices on an orbiting platform and is expressed as a mixed/integer linear programming problem with more than 1500 design variables.

Aerospace applications on integer and combinatorial optimization

NASA Technical Reports Server (NTRS)

Padula, S. L.; Kincaid, R. K.

1995-01-01

Research supported by NASA Langley Research Center includes many applications of aerospace design optimization and is conducted by teams of applied mathematicians and aerospace engineers. This paper investigates the benefits from this combined expertise in formulating and solving integer and combinatorial optimization problems. Applications range from the design of large space antennas to interior noise control. A typical problem. for example, seeks the optimal locations for vibration-damping devices on an orbiting platform and is expressed as a mixed/integer linear programming problem with more than 1500 design variables.

Mantle Convection on Modern Supercomputers

NASA Astrophysics Data System (ADS)

Weismüller, J.; Gmeiner, B.; Huber, M.; John, L.; Mohr, M.; Rüde, U.; Wohlmuth, B.; Bunge, H. P.

2015-12-01

Mantle convection is the cause for plate tectonics, the formation of mountains and oceans, and the main driving mechanism behind earthquakes. The convection process is modeled by a system of partial differential equations describing the conservation of mass, momentum and energy. Characteristic to mantle flow is the vast disparity of length scales from global to microscopic, turning mantle convection simulations into a challenging application for high-performance computing. As system size and technical complexity of the simulations continue to increase, design and implementation of simulation models for next generation large-scale architectures is handled successfully only in an interdisciplinary context. A new priority program - named SPPEXA - by the German Research Foundation (DFG) addresses this issue, and brings together computer scientists, mathematicians and application scientists around grand challenges in HPC. Here we report from the TERRA-NEO project, which is part of the high visibility SPPEXA program, and a joint effort of four research groups. TERRA-NEO develops algorithms for future HPC infrastructures, focusing on high computational efficiency and resilience in next generation mantle convection models. We present software that can resolve the Earth's mantle with up to 1012 grid points and scales efficiently to massively parallel hardware with more than 50,000 processors. We use our simulations to explore the dynamic regime of mantle convection and assess the impact of small scale processes on global mantle flow.

Albert Einstein and Wernher von Braun - the two great German-American physicists seen in a historical perspective.

NASA Astrophysics Data System (ADS)

Winterberg, Friedwardt

2008-04-01

It was Albert Einstein who for the first time changed our view of the universe to be a non-euclidean curved space-time. And it was Wernher von Braun who blazed the trail to take us into this universe, leaving for the first time the gravitational field of our planet earth, with the landing a man on the moon the greatest event in human history. Both these great physicists did this on the shoulders of giants. Albert Einstein on the shoulders of his landsman, the mathematician Bernhard Riemann, and Wernher von Braun on the shoulders of Goddard and Oberth. Both Einstein and von Braun made a Faustian pact with the devil, von Braun by accepting research funds from Hitler, and Einstein by urging Roosvelt to build the atom bomb (against Hitler). Both of these great men later regretted the use of their work for the killing of innocent bystanders, even though in the end the invention of nuclear energy and space flight is for the benefit of man. Their example serves as a warning for all of us. It can be formulated as follows: ``Can I in good conscience accept research funds from the military to advance scientific knowledge, for weapons developed against an abstract enemy I never have met in person?'' Weapons if used do not differentiate between the scientist, who invented these weapons, and the non-scientist.

Simon Newcomb, Other Aspects of His Career

NASA Astrophysics Data System (ADS)

Corbin, Brenda G.

2014-01-01

Simon Newcomb (1835-1909) is perhaps the best known American astronomer of the late 19th century. Among the many aspects of his long career, he was one of the founders and the first president of what later became the American Astronomical Society. However, he wrote widely on subjects other than astronomy, even producing works of fiction. He was especially interested in economics and published such titles as A critical examination of our financial policy during the Southern rebellion, A plain man's talk on the labor question, Principles of political economy and others. The very interesting title, A statistical inquiry into the probability of causes of the production of sex in human offspring was written in 1904. Newcomb even produced a work of science fiction, His Wisdom, the Defender: a story, published in 1900. William Alvord, President of the Astronomical Society of the Pacific, on awarding Newcomb the Bruce Medal stated “The essential quality of his mind is that of a philosopher rather than that of a mathematician or an astronomer merely.” It has been suggested (Bradley Schaefer and others) that Arthur Conan Doyle used Newcomb as the model for Prof. Moriarty in his Sherlock Holmes novels. He had close friendships with many scientists of his time including Alexander Graham Bell. On the other hand, it has been reported that he also had contentious relationships with some scientists and could be intimidating. A devoted family man, he encouraged his three daughters in their intellectual pursuits. Newcomb, who held naval rank in the Corps of Professors of Mathematics, was buried in Arlington National Cemetery with full military honors. His funeral was attended by many noted scientists and other dignitaries including President William Howard Taft.

A dynamic, climate-driven model of Rift Valley fever.

PubMed

Leedale, Joseph; Jones, Anne E; Caminade, Cyril; Morse, Andrew P

2016-03-31

Outbreaks of Rift Valley fever (RVF) in eastern Africa have previously occurred following specific rainfall dynamics and flooding events that appear to support the emergence of large numbers of mosquito vectors. As such, transmission of the virus is considered to be sensitive to environmental conditions and therefore changes in climate can impact the spatiotemporal dynamics of epizootic vulnerability. Epidemiological information describing the methods and parameters of RVF transmission and its dependence on climatic factors are used to develop a new spatio-temporal mathematical model that simulates these dynamics and can predict the impact of changes in climate. The Liverpool RVF (LRVF) model is a new dynamic, process-based model driven by climate data that provides a predictive output of geographical changes in RVF outbreak susceptibility as a result of the climate and local livestock immunity. This description of the multi-disciplinary process of model development is accessible to mathematicians, epidemiological modellers and climate scientists, uniting dynamic mathematical modelling, empirical parameterisation and state-of-the-art climate information.

The Arcane of Cinchona and the New Granada Expedition: the multi-dimensional mind of José Celestino Mutis (1732-1808).

PubMed

Herranz, Jaime Pascual

2014-08-01

José Celestino Mutis y Bosio was a Spanish physician, naturalist, astronomer, priest, theologian and mathematician, and one of the icons of the Enlightment Age both in Spain and the American Continent. As the Viceroy's personal doctor, he travelled to the territory of New Granada in what is now Colombia. Mutis was the creator and first leader of the Royal Botanic Expedition of New Granada to study South American wildlife, discovering thousands of new species. He also launched several Public Health measures in the Santa Fe area, helping to introduce a vaccination campaign. Mutis was the first person to introduce Newtonian physics in the Spanish America and he established the first Observatory in the New World which is still in use. He was deeply admired and recognized as a prominent scientist by great personalities of his time including Carl von Linée and Alexander von Humboldt. © The Author(s) 2014 Reprints and permissions: sagepub.co.uk/journalsPermissions.nav.

Cosmological Views of Anania Shirakatsi

NASA Astrophysics Data System (ADS)

Farmanyan, Sona V.; Mickaelian, Areg M.

2017-12-01

Since the ancient times the usage of cosmological ideas in mythology and poetry has contributed to the formation and development of human's philosophical thought. It is believed that before the M. Mashtots's alphabet, ancient Armenians have expressed their astronomical knowledge through stone structures and rock art.In the Armenian reality, the cosmological views, the idea of the spherical shape of the Earth and information of other celestial bodies more vividly were manifested in the works of Movses Khorenatsi, David Anhaght (5th century) and Anania Shirakatsi (7th century).Anania Shirakatsi is an Armenian Astronomer, Mathematician, Philosopher, Geographer and Alchemist.The importance of his work is also noted by foreign authors and he was called 7th century Cosmologist, First Scientist of Armenia and Middival Astronomer. Shirakatsi's works are united in his comprehensive knowledge, his insight of the mind, the ability of combining and analyzing facts and his literature talent.His works have simultaneous historical, cosmic, geographical, religious, literary and mystical significance. In the present study we will show Anania Shirakatsi's cosmological ideas and observations.

A starry message from the Starry Messenger

NASA Astrophysics Data System (ADS)

Francis, Michael

2011-05-01

To many the Universe is a closed book of secrets never to be read. Four hundred years ago, an unknown court mathematician in Italy opened that book and laid the foundation for modern science. Galileo Galilei turned his telescope to the heavens to discover mountains and craters on the moon, four moons of Jupiter, and countless stars never before seen. Even more significant was his method of observation and mathematical analysis. He taught future scientists the way to discover the laws of nature. In this session the professor will return to discuss some of his most recent discoveries. Using the gifts of a storyteller and actively involving the audience, Galileo will take his audience through discoveries that changed the very nature of science. First person living history programs have become a staple of informal educational institutions like museums, planetariums and libraries as well as scholastic settings. We will be examining how to use this theatrical technique to educate, entertain and bring Astronomy to life.

The Multimedia Case as a Tool for Professional Development: An Analysis of Online and Face-to-Face Interaction among Mathematics Pre-Service Teachers, In-Service Teachers, Mathematicians, and Mathematics Teacher Educators

ERIC Educational Resources Information Center

McGraw, Rebecca; Lynch, Kathleen; Koc, Yusuf; Budak, Ayfer; Brown, Catherine A.

2007-01-01

In this study, we consider the potential of multimedia cases as tools for teacher professional development. Specifically, we examined online and face-to-face discussions that occurred within groups composed of pre-service mathematics teachers, in-service mathematics teachers, mathematicians, and mathematics teacher educators. Discussions within…

Boundary crossing and brokering between disciplines in pre-service mathematics teacher education

NASA Astrophysics Data System (ADS)

Goos, Merrilyn; Bennison, Anne

2017-12-01

In many countries, pre-service teacher education programs are structured so that mathematics content is taught in the university's mathematics department and mathematics pedagogy in the education department. Such program structures make it difficult to authentically interweave content with pedagogy in ways that acknowledge the roles of both mathematicians and mathematics educators in preparing future teachers. This article reports on a project that deliberately fostered collaboration between mathematicians and mathematics educators in six Australian universities in order to investigate the potential for learning at the boundaries between the two disciplinary communities. Data sources included two rounds of interviews with mathematicians and mathematics educators and annual reports prepared by each participating university over the three years of the project. The study identified interdisciplinary boundary practices that led to integration of content and pedagogy through new courses co-developed and co-taught by mathematicians and mathematics educators, and new approaches to building communities of pre-service teachers. It also developed an evidence-based classification of conditions that enable or hinder sustained collaboration across disciplinary boundaries, together with an empirical grounding for Akkerman and Bakker's conceptualisation of transformation as a mechanism for learning at the boundary between communities. The study additionally highlighted the ambiguous nature of boundaries and implications for brokers who work there to connect disciplinary paradigms.

An engineering design approach to systems biology.

PubMed

Janes, Kevin A; Chandran, Preethi L; Ford, Roseanne M; Lazzara, Matthew J; Papin, Jason A; Peirce, Shayn M; Saucerman, Jeffrey J; Lauffenburger, Douglas A

2017-07-17

Measuring and modeling the integrated behavior of biomolecular-cellular networks is central to systems biology. Over several decades, systems biology has been shaped by quantitative biologists, physicists, mathematicians, and engineers in different ways. However, the basic and applied versions of systems biology are not typically distinguished, which blurs the separate aspirations of the field and its potential for real-world impact. Here, we articulate an engineering approach to systems biology, which applies educational philosophy, engineering design, and predictive models to solve contemporary problems in an age of biomedical Big Data. A concerted effort to train systems bioengineers will provide a versatile workforce capable of tackling the diverse challenges faced by the biotechnological and pharmaceutical sectors in a modern, information-dense economy.

Origins of the brain networks for advanced mathematics in expert mathematicians

PubMed Central

Amalric, Marie; Dehaene, Stanislas

2016-01-01

The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit. PMID:27071124

Origins of the brain networks for advanced mathematics in expert mathematicians.

PubMed

Amalric, Marie; Dehaene, Stanislas

2016-05-03

The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.

Feasibility of Single and Dual Satellite Systems to Enable Continuous Communication Capability to a Manned Mars Mission

DTIC Science & Technology

2014-09-01

periodicity for many centuries but it was not until Johannes Kepler (1619), a German mathematician, developed his three laws of planetary motion in the early...ORBITS Johannes Kepler was a brilliant mathematician hired to map the orbit of Mars by the infamous elk owner, duelist, and astronomer Tycho Brahe...Dreyer & Brahe, 1890). Despite a difference in viewpoints ( Kepler supported Copernicus while Brahe developed his own model of planetary motion in

What is the problem in problem-based learning in higher education mathematics

NASA Astrophysics Data System (ADS)

Dahl, Bettina

2018-01-01

Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge where the application in society is not always obvious. Does mathematics, including pure mathematics, fit into a PBL curriculum? This paper argues that it does for two reasons: (1) PBL resembles the working methods of research mathematicians. (2) The concept of society includes the society of researchers to whom theoretical mathematics is relevant. The paper describes two cases of university PBL projects in mathematics; one in pure mathematics and the other in applied mathematics. The paper also discusses that future engineers need to understand the world of mathematics as well as how engineers fit into a process of fundamental-research-turned-into-applied-science.

Research of large-amplitude waves evolution in the framework of shallow water equations and their implication for people's safety in extreme situations

NASA Astrophysics Data System (ADS)

Pelinovsky, Efim; Chaikovskaia, Natalya; Rodin, Artem

2015-04-01

The paper presents the analysis of the formation and evolution of shock wave in shallow water with no restrictions on its amplitude in the framework of the nonlinear shallow water equations. It is shown that in the case of large-amplitude waves appears a new nonlinear effect of reflection from the shock front of incident wave. These results are important for the assessment of coastal flooding by tsunami waves and storm surges. Very often the largest number of victims was observed on the coastline where the wave moved breaking. Many people, instead of running away, were just looking at the movement of the "raging wall" and lost time. This fact highlights the importance of researching the problem of security and optimal behavior of people in situations with increased risk. Usually there is uncertainty about the exact time, when rogue waves will impact. This fact limits the ability of people to adjust their behavior psychologically to the stressful situations. It concerns specialists, who are busy both in the field of flying activity and marine service as well as adults, young people and children, who live on the coastal zone. The rogue wave research is very important and it demands cooperation of different scientists - mathematicians and physicists, as well as sociologists and psychologists, because the final goal of efforts of all scientists is minimization of the harm, brought by rogue waves to humanity.

Conceptual biology, hypothesis discovery, and text mining: Swanson's legacy.

PubMed

Bekhuis, Tanja

2006-04-03

Innovative biomedical librarians and information specialists who want to expand their roles as expert searchers need to know about profound changes in biology and parallel trends in text mining. In recent years, conceptual biology has emerged as a complement to empirical biology. This is partly in response to the availability of massive digital resources such as the network of databases for molecular biologists at the National Center for Biotechnology Information. Developments in text mining and hypothesis discovery systems based on the early work of Swanson, a mathematician and information scientist, are coincident with the emergence of conceptual biology. Very little has been written to introduce biomedical digital librarians to these new trends. In this paper, background for data and text mining, as well as for knowledge discovery in databases (KDD) and in text (KDT) is presented, then a brief review of Swanson's ideas, followed by a discussion of recent approaches to hypothesis discovery and testing. 'Testing' in the context of text mining involves partially automated methods for finding evidence in the literature to support hypothetical relationships. Concluding remarks follow regarding (a) the limits of current strategies for evaluation of hypothesis discovery systems and (b) the role of literature-based discovery in concert with empirical research. Report of an informatics-driven literature review for biomarkers of systemic lupus erythematosus is mentioned. Swanson's vision of the hidden value in the literature of science and, by extension, in biomedical digital databases, is still remarkably generative for information scientists, biologists, and physicians.

The Effect of Gender in the Publication Patterns in Mathematics.

PubMed

Mihaljević-Brandt, Helena; Santamaría, Lucía; Tullney, Marco

2016-01-01

Despite the increasing number of women graduating in mathematics, a systemic gender imbalance persists and is signified by a pronounced gender gap in the distribution of active researchers and professors. Especially at the level of university faculty, women mathematicians continue being drastically underrepresented, decades after the first affirmative action measures have been put into place. A solid publication record is of paramount importance for securing permanent positions. Thus, the question arises whether the publication patterns of men and women mathematicians differ in a significant way. Making use of the zbMATH database, one of the most comprehensive metadata sources on mathematical publications, we analyze the scholarly output of ∼150,000 mathematicians from the past four decades whose gender we algorithmically inferred. We focus on development over time, collaboration through coautorships, presumed journal quality and distribution of research topics-factors known to have a strong impact on job perspectives. We report significant differences between genders which may put women at a disadvantage when pursuing an academic career in mathematics.

The Effect of Gender in the Publication Patterns in Mathematics

PubMed Central

2016-01-01

Despite the increasing number of women graduating in mathematics, a systemic gender imbalance persists and is signified by a pronounced gender gap in the distribution of active researchers and professors. Especially at the level of university faculty, women mathematicians continue being drastically underrepresented, decades after the first affirmative action measures have been put into place. A solid publication record is of paramount importance for securing permanent positions. Thus, the question arises whether the publication patterns of men and women mathematicians differ in a significant way. Making use of the zbMATH database, one of the most comprehensive metadata sources on mathematical publications, we analyze the scholarly output of ∼150,000 mathematicians from the past four decades whose gender we algorithmically inferred. We focus on development over time, collaboration through coautorships, presumed journal quality and distribution of research topics—factors known to have a strong impact on job perspectives. We report significant differences between genders which may put women at a disadvantage when pursuing an academic career in mathematics. PMID:27780266

Mathematical Practices and Arts Integration in an Activity-Based Projective Geometry Course

NASA Astrophysics Data System (ADS)

Ernest, Jessica Brooke

It is a general assumption that the mathematical activity of students in school should, at least to some degree, parallel the practices of professional mathematicians (Brown, Collins, Duguid, 1989; Moschkovich, 2013). This assumption is reflected in the Common Core State Standards (CCSSI, 2010) and National Council of Teachers of Mathematics (NCTM, 2000) standards documents. However, the practices included in these standards documents, while developed to reflect the practices of professional mathematicians, may be idealized versions of what mathematicians actually do (Moschkovich, 2013). This might lead us to question then: "What is it that mathematicians do, and what practices are not being represented in the standards documents?" In general, the creative work of mathematicians is absent from the standards and, in turn, from school mathematics curricula, much to the dismay of some mathematicians and researchers (Lockhart, 2009; Rogers, 1999). As a result, creativity is not typically being fostered in mathematics students. As a response to this lack of focus on fostering creativity (in each of the science, technology, engineering, and mathematics disciplines--the STEM disciplines), a movement to integrate the arts emerged. This movement, called the STEAM movement--introducing the letter A into the acronym STEM to signify incorporating the arts--has been gaining momentum, yet limited research has been carried out on the efficacy of integrating the arts into mathematics courses. My experiences as the co-instructor for an activity-based course focused on projective geometry led me to consider the course as a setting for investigating both mathematical practices and arts integration. In this work, I explored the mathematical practices in which students engaged while working to develop an understanding of projective geometry through group activities. Furthermore, I explored the way in which students' learning experiences were enriched through artistic engagement in the course. I discuss mathematical play and acts of imagination--two mathematical practices in which students engaged, and which emerged from a grounded theory approach to analysis of the classroom data. In addition, I discuss particular ways in which artistic engagement, including creating two mathematically inspired artistic pieces, enriched students' learning experiences in the course. The six themes I address are artistic engagement (a) fostering mathematical play, (b) giving students the opportunity to make sense of pop-up topics, (c) providing students with the opportunity to develop coordination of mathematical tools, (d) allowing students to weave their personal experiences with mathematics, (e) contributing to students' notions of the connections between mathematics and art, and (f) changing students' relationships with art.

Partial differential equation models in macroeconomics.

PubMed

Achdou, Yves; Buera, Francisco J; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin

2014-11-13

The purpose of this article is to get mathematicians interested in studying a number of partial differential equations (PDEs) that naturally arise in macroeconomics. These PDEs come from models designed to study some of the most important questions in economics. At the same time, they are highly interesting for mathematicians because their structure is often quite difficult. We present a number of examples of such PDEs, discuss what is known about their properties, and list some open questions for future research. © 2014 The Author(s) Published by the Royal Society. All rights reserved.

Macmillan Encyclopedia of Chemistry (edited by Joseph J. Lagowski)

NASA Astrophysics Data System (ADS)

Kauffman, George B.

1998-11-01

Macmillan: New York, 1997. Four volumes. Figs., tables. lxxi + 1696 pp. 22.0 x 28.5 cm. $400. ISBN 0-02-897225-2. This latest addition to Macmillan's series of comprehensive core science encyclopedias (previous sets dealt with physics and earth sciences) will be of particular interest to readers of this Journal, for it is edited by longtime Journal of Chemical Education editor Joe Lagowski, assisted by a board of five distinguished associate editors. The attractively priced set offers clear explanations of the phenomena and concepts of chemistry and its materials, whether found in industry, the laboratory, or the natural world. It is intended for a broad spectrum of readers-professionals whose work draws on chemical concepts and knowledge (e.g., material scientists, engineers, health workers, biotechnologists, mathematicians, and computer programmers), science teachers at all levels from kindergarten to high school, high school and college students interested in medicine or the sciences, college and university professors, and laypersons desiring information on practical aspects of chemistry (e.g., household cleaning products, food and food additives, manufactured materials, herbicides, the human body, sweeteners, and animal communication).

"Machine" consciousness and "artificial" thought: an operational architectonics model guided approach.

PubMed

Fingelkurts, Andrew A; Fingelkurts, Alexander A; Neves, Carlos F H

2012-01-05

Instead of using low-level neurophysiology mimicking and exploratory programming methods commonly used in the machine consciousness field, the hierarchical operational architectonics (OA) framework of brain and mind functioning proposes an alternative conceptual-theoretical framework as a new direction in the area of model-driven machine (robot) consciousness engineering. The unified brain-mind theoretical OA model explicitly captures (though in an informal way) the basic essence of brain functional architecture, which indeed constitutes a theory of consciousness. The OA describes the neurophysiological basis of the phenomenal level of brain organization. In this context the problem of producing man-made "machine" consciousness and "artificial" thought is a matter of duplicating all levels of the operational architectonics hierarchy (with its inherent rules and mechanisms) found in the brain electromagnetic field. We hope that the conceptual-theoretical framework described in this paper will stimulate the interest of mathematicians and/or computer scientists to abstract and formalize principles of hierarchy of brain operations which are the building blocks for phenomenal consciousness and thought. Copyright © 2010 Elsevier B.V. All rights reserved.

Modeling high-temperature superconductors and metallic alloys on the Intel IPSC/860

NASA Astrophysics Data System (ADS)

Geist, G. A.; Peyton, B. W.; Shelton, W. A.; Stocks, G. M.

Oak Ridge National Laboratory has embarked on several computational Grand Challenges, which require the close cooperation of physicists, mathematicians, and computer scientists. One of these projects is the determination of the material properties of alloys from first principles and, in particular, the electronic structure of high-temperature superconductors. While the present focus of the project is on superconductivity, the approach is general enough to permit study of other properties of metallic alloys such as strength and magnetic properties. This paper describes the progress to date on this project. We include a description of a self-consistent KKR-CPA method, parallelization of the model, and the incorporation of a dynamic load balancing scheme into the algorithm. We also describe the development and performance of a consolidated KKR-CPA code capable of running on CRAYs, workstations, and several parallel computers without source code modification. Performance of this code on the Intel iPSC/860 is also compared to a CRAY 2, CRAY YMP, and several workstations. Finally, some density of state calculations of two perovskite superconductors are given.

Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review

NASA Astrophysics Data System (ADS)

Cheng, C. M.; Peng, Z. K.; Zhang, W. M.; Meng, G.

2017-03-01

Nonlinear problems have drawn great interest and extensive attention from engineers, physicists and mathematicians and many other scientists because most real systems are inherently nonlinear in nature. To model and analyze nonlinear systems, many mathematical theories and methods have been developed, including Volterra series. In this paper, the basic definition of the Volterra series is recapitulated, together with some frequency domain concepts which are derived from the Volterra series, including the general frequency response function (GFRF), the nonlinear output frequency response function (NOFRF), output frequency response function (OFRF) and associated frequency response function (AFRF). The relationship between the Volterra series and other nonlinear system models and nonlinear problem solving methods are discussed, including the Taylor series, Wiener series, NARMAX model, Hammerstein model, Wiener model, Wiener-Hammerstein model, harmonic balance method, perturbation method and Adomian decomposition. The challenging problems and their state of arts in the series convergence study and the kernel identification study are comprehensively introduced. In addition, a detailed review is then given on the applications of Volterra series in mechanical engineering, aeroelasticity problem, control engineering, electronic and electrical engineering.

Does one size fit all? A study of beginning science and mathematics teacher induction

NASA Astrophysics Data System (ADS)

Kralik, Jeffrey M.

Over the past few years, many induction programs have been implemented across the country, primarily designed to limit the amount beginning teacher attrition. Few of these programs have focused on improving teacher quality or identifying the specific needs of individual teachers. Research suggests that beginning science and mathematics teachers have specific needs that are not being met by current induction models, possibly resulting in higher rates of attrition. Harry and Janet Knowles created the Knowles Science Teaching Foundation (KSTF) to identify and support young scientists and mathematicians as they dedicate their lives to teaching young people. Through financial, curricular, and emotional support, KSTF encourages new teachers to remain in teaching and become leaders in their schools and districts. This dissertation is a sequential explanatory study, which first establishes national estimates for beginning teacher attrition rates and the reasons for the migration based on subject area taught, with an emphasis on mathematics and science teachers. This study then evaluates the KSTF model through multiple methods---analysis of KSTF survey data and interviews with KSTF participants and stakeholders.

Ross, macdonald, and a theory for the dynamics and control of mosquito-transmitted pathogens.

PubMed

Smith, David L; Battle, Katherine E; Hay, Simon I; Barker, Christopher M; Scott, Thomas W; McKenzie, F Ellis

2012-01-01

Ronald Ross and George Macdonald are credited with developing a mathematical model of mosquito-borne pathogen transmission. A systematic historical review suggests that several mathematicians and scientists contributed to development of the Ross-Macdonald model over a period of 70 years. Ross developed two different mathematical models, Macdonald a third, and various "Ross-Macdonald" mathematical models exist. Ross-Macdonald models are best defined by a consensus set of assumptions. The mathematical model is just one part of a theory for the dynamics and control of mosquito-transmitted pathogens that also includes epidemiological and entomological concepts and metrics for measuring transmission. All the basic elements of the theory had fallen into place by the end of the Global Malaria Eradication Programme (GMEP, 1955-1969) with the concept of vectorial capacity, methods for measuring key components of transmission by mosquitoes, and a quantitative theory of vector control. The Ross-Macdonald theory has since played a central role in development of research on mosquito-borne pathogen transmission and the development of strategies for mosquito-borne disease prevention.

Ross, Macdonald, and a Theory for the Dynamics and Control of Mosquito-Transmitted Pathogens

PubMed Central

Smith, David L.; Battle, Katherine E.; Hay, Simon I.; Barker, Christopher M.; Scott, Thomas W.; McKenzie, F. Ellis

2012-01-01

Ronald Ross and George Macdonald are credited with developing a mathematical model of mosquito-borne pathogen transmission. A systematic historical review suggests that several mathematicians and scientists contributed to development of the Ross-Macdonald model over a period of 70 years. Ross developed two different mathematical models, Macdonald a third, and various “Ross-Macdonald” mathematical models exist. Ross-Macdonald models are best defined by a consensus set of assumptions. The mathematical model is just one part of a theory for the dynamics and control of mosquito-transmitted pathogens that also includes epidemiological and entomological concepts and metrics for measuring transmission. All the basic elements of the theory had fallen into place by the end of the Global Malaria Eradication Programme (GMEP, 1955–1969) with the concept of vectorial capacity, methods for measuring key components of transmission by mosquitoes, and a quantitative theory of vector control. The Ross-Macdonald theory has since played a central role in development of research on mosquito-borne pathogen transmission and the development of strategies for mosquito-borne disease prevention. PMID:22496640

Virtual Observatories, Data Mining, and Astroinformatics

NASA Astrophysics Data System (ADS)

Borne, Kirk

The historical, current, and future trends in knowledge discovery from data in astronomy are presented here. The story begins with a brief history of data gathering and data organization. A description of the development ofnew information science technologies for astronomical discovery is then presented. Among these are e-Science and the virtual observatory, with its data discovery, access, display, and integration protocols; astroinformatics and data mining for exploratory data analysis, information extraction, and knowledge discovery from distributed data collections; new sky surveys' databases, including rich multivariate observational parameter sets for large numbers of objects; and the emerging discipline of data-oriented astronomical research, called astroinformatics. Astroinformatics is described as the fourth paradigm of astronomical research, following the three traditional research methodologies: observation, theory, and computation/modeling. Astroinformatics research areas include machine learning, data mining, visualization, statistics, semantic science, and scientific data management.Each of these areas is now an active research discipline, with significantscience-enabling applications in astronomy. Research challenges and sample research scenarios are presented in these areas, in addition to sample algorithms for data-oriented research. These information science technologies enable scientific knowledge discovery from the increasingly large and complex data collections in astronomy. The education and training of the modern astronomy student must consequently include skill development in these areas, whose practitioners have traditionally been limited to applied mathematicians, computer scientists, and statisticians. Modern astronomical researchers must cross these traditional discipline boundaries, thereby borrowing the best of breed methodologies from multiple disciplines. In the era of large sky surveys and numerous large telescopes, the potential for astronomical discovery is equally large, and so the data-oriented research methods, algorithms, and techniques that are presented here will enable the greatest discovery potential from the ever-growing data and information resources in astronomy.

Synthetic biology through biomolecular design and engineering.

PubMed

Channon, Kevin; Bromley, Elizabeth H C; Woolfson, Derek N

2008-08-01

Synthetic biology is a rapidly growing field that has emerged in a global, multidisciplinary effort among biologists, chemists, engineers, physicists, and mathematicians. Broadly, the field has two complementary goals: To improve understanding of biological systems through mimicry and to produce bio-orthogonal systems with new functions. Here we review the area specifically with reference to the concept of synthetic biology space, that is, a hierarchy of components for, and approaches to generating new synthetic and functional systems to test, advance, and apply our understanding of biological systems. In keeping with this issue of Current Opinion in Structural Biology, we focus largely on the design and engineering of biomolecule-based components and systems.

Quantitative Finance

NASA Astrophysics Data System (ADS)

James, Jessica

2017-01-01

Quantitative finance is a field that has risen to prominence over the last few decades. It encompasses the complex models and calculations that value financial contracts, particularly those which reference events in the future, and apply probabilities to these events. While adding greatly to the flexibility of the market available to corporations and investors, it has also been blamed for worsening the impact of financial crises. But what exactly does quantitative finance encompass, and where did these ideas and models originate? We show that the mathematics behind finance and behind games of chance have tracked each other closely over the centuries and that many well-known physicists and mathematicians have contributed to the field.

Introduction to multigrid methods

NASA Technical Reports Server (NTRS)

Wesseling, P.

1995-01-01

These notes were written for an introductory course on the application of multigrid methods to elliptic and hyperbolic partial differential equations for engineers, physicists and applied mathematicians. The use of more advanced mathematical tools, such as functional analysis, is avoided. The course is intended to be accessible to a wide audience of users of computational methods. We restrict ourselves to finite volume and finite difference discretization. The basic principles are given. Smoothing methods and Fourier smoothing analysis are reviewed. The fundamental multigrid algorithm is studied. The smoothing and coarse grid approximation properties are discussed. Multigrid schedules and structured programming of multigrid algorithms are treated. Robustness and efficiency are considered.

ISMB/ECCB 2009 Stockholm

PubMed Central

Sagot, Marie-France; McKay, B.J. Morrison; Myers, Gene

2009-01-01

The International Society for Computational Biology (ISCB; http://www.iscb.org) presents the Seventeenth Annual International Conference on Intelligent Systems for Molecular Biology (ISMB), organized jointly with the Eighth Annual European Conference on Computational Biology (ECCB; http://bioinf.mpi-inf.mpg.de/conferences/eccb/eccb.htm), in Stockholm, Sweden, 27 June to 2 July 2009. The organizers are putting the finishing touches on the year's premier computational biology conference, with an expected attendance of 1400 computer scientists, mathematicians, statisticians, biologists and scientists from other disciplines related to and reliant on this multi-disciplinary science. ISMB/ECCB 2009 (http://www.iscb.org/ismbeccb2009/) follows the framework introduced at the ISMB/ECCB 2007 (http://www.iscb.org/ismbeccb2007/) in Vienna, and further refined at the ISMB 2008 (http://www.iscb.org/ismb2008/) in Toronto; a framework developed to specifically encourage increased participation from often under-represented disciplines at conferences on computational biology. During the main ISMB conference dates of 29 June to 2 July, keynote talks from highly regarded scientists, including ISCB Award winners, are the featured presentations that bring all attendees together twice a day. The remainder of each day offers a carefully balanced selection of parallel sessions to choose from: proceedings papers, special sessions on emerging topics, highlights of the past year's published research, special interest group meetings, technology demonstrations, workshops and several unique sessions of value to the broad audience of students, faculty and industry researchers. Several hundred posters displayed for the duration of the conference has become a standard of the ISMB and ECCB conference series, and an extensive commercial exhibition showcases the latest bioinformatics publications, software, hardware and services available on the market today. The main conference is preceded by 2 days of Special Interest Group (SIG) and Satellite meetings running in parallel to the fifth Student Council Symposium on 27 June, and in parallel to Tutorials on 28 June. All scientific sessions take place at the Stockholmsmässan/Stockholm International Fairs conference and exposition facility. Contact: bj@iscb.org PMID:19447790

In accordance with a "more majestic order". The new math and the nature of mathematics at midcentury.

PubMed

Phillips, Christopher J

2014-09-01

The "new math" curriculum, one version of which was developed in the 1950s and 1960s by the School Mathematics Study Group under the auspices of the National Science Foundation, occasioned a great deal of controversy among mathematicians. Well before its rejection by parents and teachers, some mathematicians were vocal critics, decrying the new curriculum because of the way it described the practice and history of the discipline. The nature of mathematics, despite the field's triumphs in helping to win World War II and its midcentury promotion as the key to a modern technological society, was surprisingly contested in this period. Supporters of the School Mathematics Study Group, like its director, Edward Begle, emphasized the importance of portraying mathematics as a system of abstract structures, while opponents like Morris Kline argued that math was essentially a tool for understanding the natural world. The debate about the curriculum--and the role of mathematicians in its design--was also a debate about the underlying identity of the subject itself.

Scientists and the Press: Are They Really Strangers?

ERIC Educational Resources Information Center

Dunwoody, Sharon; Scott, Bryon T.

A group of 111 basic and applied scientists from two Ohio university campuses was interviewed to gather data about the amount of contact between scientists and media reporters, and the effects of such contact on scientists' attitudes toward media coverage of science. The data indicated that scientists had been interviewed by journalists much more…

Eurekas and Euphorias - The Oxford Book of Scientific Anecdotes

NASA Astrophysics Data System (ADS)

Gratzer, Walter

2002-11-01

The march of science has been marked through the years by episodes of drama and comedy, of failure as well as triumph, by outrageous strokes of luck, deserved and undeserved, and sometimes by human tragedy. In Eurekas and Euphorias , Walter Gratzer captures the human face of discovery as he relates many intriguing tales of scientific adventures spanning over two thousand years. Open this book at random and you may chance on the clumsy chemist named Sapper who broke a thermometer in a reaction vat and made the discovery that launched the modern dyestuff industry. Or the physicist who dissolved his gold Nobel Prize medal in acid to prevent it from falling into the hands of the Nazis. The book uncovers deep intellectual friendships, as well as ferocious animosities, and even acts of theft and malice, deceit, and a hoax or two. Indeed, we discover that scientists come in all shapes--the obsessive and the dilettantish, the genial, the envious, the preternaturally brilliant and the slow-witted who sometimes saw further in the end, the open-minded and the intolerant, recluses and arrivistes . We meet mathematicians and physicists in prison cells, and even in a madhouse, making important advances in their field. And we witness the careers, sometimes tragic, sometimes carefree, of the great women scientists, from Hypatia of Alexandria, to Sophie Germain and Sonia Kovalevskaya, to Marie Curie and her relentless battle with the French Academy. Told with wit and relish, here then is a glorious parade to delight the reader, with stories to astonish, to instruct, and most especially, to entertain.

Utility and translatability of mathematical modeling, cell culture and small and large animal models in magnetic nanoparticle hyperthermia cancer treatment research

NASA Astrophysics Data System (ADS)

Hoopes, P. J.; Petryk, Alicia A.; Misra, Adwiteeya; Kastner, Elliot J.; Pearce, John A.; Ryan, Thomas P.

2015-03-01

For more than 50 years, hyperthermia-based cancer researchers have utilized mathematical models, cell culture studies and animal models to better understand, develop and validate potential new treatments. It has been, and remains, unclear how and to what degree these research techniques depend on, complement and, ultimately, translate accurately to a successful clinical treatment. In the past, when mathematical models have not proven accurate in a clinical treatment situation, the initiating quantitative scientists (engineers, mathematicians and physicists) have tended to believe the biomedical parameters provided to them were inaccurately determined or reported. In a similar manner, experienced biomedical scientists often tend to question the value of mathematical models and cell culture results since those data typically lack the level of biologic and medical variability and complexity that are essential to accurately study and predict complex diseases and subsequent treatments. Such quantitative and biomedical interdependence, variability, diversity and promise have never been greater than they are within magnetic nanoparticle hyperthermia cancer treatment. The use of hyperthermia to treat cancer is well studied and has utilized numerous delivery techniques, including microwaves, radio frequency, focused ultrasound, induction heating, infrared radiation, warmed perfusion liquids (combined with chemotherapy), and, recently, metallic nanoparticles (NP) activated by near infrared radiation (NIR) and alternating magnetic field (AMF) based platforms. The goal of this paper is to use proven concepts and current research to address the potential pathobiology, modeling and quantification of the effects of treatment as pertaining to the similarities and differences in energy delivered by known external delivery techniques and iron oxide nanoparticles.

Bridging the Vector Calculus Gap

NASA Astrophysics Data System (ADS)

Dray, Tevian; Manogue, Corinne

2003-05-01

As with Britain and America, mathematicians and physicists are separated from each other by a common language. In a nutshell, mathematics is about functions, but physics is about things. For the last several years, we have led an NSF-supported effort to "bridge the vector calculus gap" between mathematics and physics. The unifying theme we have discovered is to emphasize geometric reasoning, not (just) algebraic computation. In this talk, we will illustrate the language differences between mathematicians and physicists, and how we are trying reconcile them in the classroom. For further information about the project go to: http://www.physics.orst.edu/bridge

Leonid Vital'evich Kantorovich (on the 100th anniversary of his birth)

NASA Astrophysics Data System (ADS)

Vershik, Anatolii M.; Kutateladze, Semen S.; Novikov, Sergei P.

2012-06-01

The 19th of January 2012 was the 100th anniversary of the birth of Leonid Vital'evich Kantorovich, an outstanding mathematician and economist of international fame. A child prodigy, who graduated from the university at 18 and became a professor at 20, an academician in the mathematical sciences and a laureate of the Nobel Prize in economics, - these are extraordinary circumstances of his life. They are remarkable in themselves, but also the results he achieved were exceptional and immensely impressive, and the younger generations of researchers, first and foremost mathematicians and economists, must know about them.

Modulation theory, dispersive shock waves and Gerald Beresford Whitham

NASA Astrophysics Data System (ADS)

Minzoni, A. A.; Smyth, Noel F.

2016-10-01

Gerald Beresford (GB) Whitham, FRS, (13th December, 1927-26th January, 2014) was one of the leading applied mathematicians of the twentieth century whose work over forty years had a profound, formative impact on research on wave motion across a broad range of areas. Many of the ideas and techniques he developed have now become the standard tools used to analyse and understand wave motion, as the papers of this special issue of Physica D testify. Many of the techniques pioneered by GB Whitham have spread beyond wave propagation into other applied mathematics areas, such as reaction-diffusion, and even into theoretical physics and pure mathematics, in which Whitham modulation theory is an active area of research. GB Whitham's classic textbook Linear and Nonlinear Waves, published in 1974, is still the standard reference for the applied mathematics of wave motion. In honour of his scientific achievements, GB Whitham was elected a Fellow of the American Academy of Arts and Sciences in 1959 and a Fellow of the Royal Society in 1965. He was awarded the Norbert Wiener Prize for Applied Mathematics in 1980.

Molecular modeling: An open invitation for applied mathematics

NASA Astrophysics Data System (ADS)

Mezey, Paul G.

2013-10-01

Molecular modeling methods provide a very wide range of challenges for innovative mathematical and computational techniques, where often high dimensionality, large sets of data, and complicated interrelations imply a multitude of iterative approximations. The physical and chemical basis of these methodologies involves quantum mechanics with several non-intuitive aspects, where classical interpretation and classical analogies are often misleading or outright wrong. Hence, instead of the everyday, common sense approaches which work so well in engineering, in molecular modeling one often needs to rely on rather abstract mathematical constraints and conditions, again emphasizing the high level of reliance on applied mathematics. Yet, the interdisciplinary aspects of the field of molecular modeling also generates some inertia and perhaps too conservative reliance on tried and tested methodologies, that is at least partially caused by the less than up-to-date involvement in the newest developments in applied mathematics. It is expected that as more applied mathematicians take up the challenge of employing the latest advances of their field in molecular modeling, important breakthroughs may follow. In this presentation some of the current challenges of molecular modeling are discussed.

Climate science in the tropics: waves, vortices and PDEs

NASA Astrophysics Data System (ADS)

Khouider, Boualem; Majda, Andrew J.; Stechmann, Samuel N.

2013-01-01

Clouds in the tropics can organize the circulation on planetary scales and profoundly impact long range seasonal forecasting and climate on the entire globe, yet contemporary operational computer models are often deficient in representing these phenomena. On the other hand, contemporary observations reveal remarkably complex coherent waves and vortices in the tropics interacting across a bewildering range of scales from kilometers to ten thousand kilometers. This paper reviews the interdisciplinary contributions over the last decade through the modus operandi of applied mathematics to these important scientific problems. Novel physical phenomena, new multiscale equations, novel PDEs, and numerical algorithms are presented here with the goal of attracting mathematicians and physicists to this exciting research area.

History of mathematics and history of science reunited?

PubMed

Gray, Jeremy

2011-09-01

For some years now, the history of modern mathematics and the history of modern science have developed independently. A step toward a reunification that would benefit both disciplines could come about through a revived appreciation of mathematical practice. Detailed studies of what mathematicians actually do, whether local or broadly based, have often led in recent work to examinations of the social, cultural, and national contexts, and more can be done. Another recent approach toward a historical understanding of the abstractness of modern mathematics has been to see it as a species of modernism, and this thesis will be tested by the raft of works on the history of modern applied mathematics currently under way.

Calling computers names in Swedish

DOE PAGES

Carlsson, Johan

2017-11-01

I very much enjoyed reading Jim Fleming’s article on Carl-Gustaf Rossby and the seminal contributions Rossby made to meteorology. Furthermore, the otherwise excellent article has two errors. Something must have gotten lost in translation to cause Fleming to claim that “Rossby pursued numerical weather prediction in Sweden in an era in which there was no Swedish word for digital computer.” With applied mathematician Germund Dahlquist, Rossby developed a weather model for the Binär Elektronisk Sekvens Kalkylator (BESK; Binary Electronic Sequence Calculator). Designed and built in Sweden, BESK was the world’s fastest computer when it became operational in 1953. From Septembermore » 1954, BESK weather simulations enabled routine 24-hour national forecasts.« less

Study of the neural dynamics for understanding communication in terms of complex hetero systems.

PubMed

Tsuda, Ichiro; Yamaguchi, Yoko; Hashimoto, Takashi; Okuda, Jiro; Kawasaki, Masahiro; Nagasaka, Yasuo

2015-01-01

The purpose of the research project was to establish a new research area named "neural information science for communication" by elucidating its neural mechanism. The research was performed in collaboration with applied mathematicians in complex-systems science and experimental researchers in neuroscience. The project included measurements of brain activity during communication with or without languages and analyses performed with the help of extended theories for dynamical systems and stochastic systems. The communication paradigm was extended to the interactions between human and human, human and animal, human and robot, human and materials, and even animal and animal. Copyright © 2014 Elsevier Ireland Ltd and the Japan Neuroscience Society. All rights reserved.

Calling computers names in Swedish

DOE Office of Scientific and Technical Information (OSTI.GOV)

Carlsson, Johan

I very much enjoyed reading Jim Fleming’s article on Carl-Gustaf Rossby and the seminal contributions Rossby made to meteorology. Furthermore, the otherwise excellent article has two errors. Something must have gotten lost in translation to cause Fleming to claim that “Rossby pursued numerical weather prediction in Sweden in an era in which there was no Swedish word for digital computer.” With applied mathematician Germund Dahlquist, Rossby developed a weather model for the Binär Elektronisk Sekvens Kalkylator (BESK; Binary Electronic Sequence Calculator). Designed and built in Sweden, BESK was the world’s fastest computer when it became operational in 1953. From Septembermore » 1954, BESK weather simulations enabled routine 24-hour national forecasts.« less

2009 ESMD Space Grant Faculty Project Final Report

NASA Technical Reports Server (NTRS)

Murphy, Gloria; Ghanashyam, Joshi; Guo, Jiang; Conrad, James; Bandyopadhyay, Alak; Cross, William

2009-01-01

The Constellation Program is the medium by which we will maintain a presence in low Earth orbit, return to the moon for further exploration and develop procedures for Mars exploration. The foundation for its presence and success is built by the many individuals that have given of their time, talent and even lives to help propel the mission and objectives of NASA. The Exploration Systems Mission Directorate (ESMD) Faculty Fellows Program is a direct contributor to the success of directorate and Constellation Program objectives. It is through programs such as the ESMD Space Grant program that students are inspired and challenged to achieve the technological heights that will propel us to meet the goals and objectives of ESMD and the Constellation Program. It is through ESMD Space Grant programs that future NASA scientists, engineers, and mathematicians begin to dream of taking America to newer heights of space exploration. The ESMD Space Grant program is to be commended for taking the initiative to develop and implement programs that help solidify the mission of NASA. With the concerted efforts of the Kennedy Space Center educational staff, the 2009 ESMD Space Grant Summer Faculty Fellows Program allowed faculty to become more involved with NASA personnel relating to exploration topics for the senior design projects. The 2009 Project was specifically directed towards NASA's Strategic Educational Outcome 1. In-situ placement of Faculty Fellows at the NASA field Centers was essential; this allowed personal interactions with NASA scientists and engineers. In particular, this was critical to better understanding the NASA problems and begin developing a senior design effort to solve the problems. The Faculty Fellows are pleased that the ESMD Space Grant program is taking interest in developing the Senior Design courses at the university level. These courses are needed to help develop the NASA engineers and scientists of the very near future. It has been a pleasure to be part of the evaluation process to help ensure that these courses are developed in such a way that the students' educational objectives are maximized. Ultimately, with NASA-related content used as projects in the course, students will be exposed to space exploration concepts and issues while still in college. This will help to produce NASA engineers and scientists that are knowledgeable of space exploration. By the concerted efforts of these five senior design projects, NASA's ESMD Space Grant Project is making great strides at helping to develop talented engineers and scientists that will continue our exploration into space.

DOE Office of Scientific and Technical Information (OSTI.GOV)

Lewis, Jennifer

The Association for Women in Mathematics (AWM) seeks to advance the rates of participation by women in events at national mathematical sciences conference primarily in the U.S. The grant was funded from 8/1/2007 through 3/31/2015. The first component is the lecture series (Noether, Kovalevsky and Falconer Lectures) named after celebrated mathematicians, and featuring prominent women mathematicians, with the result that men, as well as women, will learn about the achievements of women in the mathematical sciences. 22 women mathematicians gave lectures at the annual JMM, SIAM Annual Meetings, and the MAA MathFest. The second component is AWM’s “Workshops for Womenmore » Graduate Students and Recent PhDs,” which select junior women to give research talks and research poster presentations at the SIAM Annual Meeting. The workshop activities allow wider recruitment of participants and increased attention to mentoring. 122 women gave mathematics research presentations. The third component is the AWM’s 40th Anniversary Research Symposium, 2011. 300 women and men attended the two-day symposium with 135 women presenting mathematics research. These activities have succeeded in increasing the number of women speakers and presenters at meetings and have brought more women attendees to the meetings.« less

Basic and Advanced Numerical Performances Relate to Mathematical Expertise but Are Fully Mediated by Visuospatial Skills

PubMed Central

2016-01-01

Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. PMID:26913930

Searching the Heavens: Astronomy, Computation, Statistics, Data Mining and Philosophy

NASA Astrophysics Data System (ADS)

Glymour, Clark

2012-03-01

Our first and purest science, the mother of scientific methods, sustained by sheer curiosity, searching the heavens we cannot manipulate. From the beginning, astronomy has combined mathematical idealization, technological ingenuity, and indefatigable data collection with procedures to search through assembled data for the processes that govern the cosmos. Astronomers are, and ever have been, data miners, and for that reason astronomical methods (but not astronomical discoveries) have often been despised by statisticians and philosophers. Epithets laced the statistical literature: Ransacking! Data dredging! Double Counting! Statistical disdain was usually directed at social scientists and biologists, rarely if ever at astronomers, but the methodological attitudes and goals that many twentieth-century philosophers and statisticians rejected were creations of the astronomical tradition. The philosophical criticisms were earlier and more direct. In the shadow (or in Alexander Pope’s phrasing, the light) cast on nature in the eighteenth century by the Newtonian triumph, David Hume revived arguments from the ancient Greeks to challenge the very possibility of coming to know what causes what. His conclusion was endorsed in the twentieth century by many philosophers who found talk of causation unnecessary or unacceptably metaphysical, and absorbed by many statisticians as a general suspicion of causal claims, except possibly when they are founded on experimental manipulation. And yet in the hands of a mathematician, Thomas Bayes, and another mathematician and philosopher, Richard Price, Hume’s essays prompted the development of a new kind of statistics, the kind we now call "Bayesian." The computer and new data acquisition methods have begun to dissolve the antipathy between astronomy, philosophy, and statistics. But the resolution is practical, without much reflection on the arguments or the course of events. So, I offer a largely unoriginal history, substituting rather dry commentary on method for the fuller, livelier history of astronomers’ ambitions, politics, and passions. My accounts of various episodes in the astronomical tradition are taken from standard sources, especially Neugebauer (1952), Baum & Sheehan (1997), Crelensten (2006), and Stigler (1990). Methodological commentary is mine, not that of these sources.

The Human Genome Project: big science transforms biology and medicine.

PubMed

Hood, Leroy; Rowen, Lee

2013-01-01

The Human Genome Project has transformed biology through its integrated big science approach to deciphering a reference human genome sequence along with the complete sequences of key model organisms. The project exemplifies the power, necessity and success of large, integrated, cross-disciplinary efforts - so-called 'big science' - directed towards complex major objectives. In this article, we discuss the ways in which this ambitious endeavor led to the development of novel technologies and analytical tools, and how it brought the expertise of engineers, computer scientists and mathematicians together with biologists. It established an open approach to data sharing and open-source software, thereby making the data resulting from the project accessible to all. The genome sequences of microbes, plants and animals have revolutionized many fields of science, including microbiology, virology, infectious disease and plant biology. Moreover, deeper knowledge of human sequence variation has begun to alter the practice of medicine. The Human Genome Project has inspired subsequent large-scale data acquisition initiatives such as the International HapMap Project, 1000 Genomes, and The Cancer Genome Atlas, as well as the recently announced Human Brain Project and the emerging Human Proteome Project.

"Adotta scienza e arte nella tua classe": The results of a successfully teaching project which combines science with art⋆

NASA Astrophysics Data System (ADS)

Giansanti, S.

2015-03-01

The project called Adotta scienza e arte nella tua classe ("Adopt Science and Art in your class"), on the interconnection between science and art, has been addressed to the Italian secondary middle and high school involving more than 200 teachers and about 2200 students. The main purpose of this project is to make the young students aware of the strong link between science and art is a unique cultural and interdisciplinary occasion. To reach this goal, the Adotta project asked students to produce an artwork inspired by the interpretation of a quotation among a hundred commented quotes by physicists, mathematicians, scientist, writers, artists, accompanied by an original short sentence written by students themselves. More than 1000 artworks have been produced and collected in two galleries on Facebook. From their analysis emerges the students' feeling about science, which is usually associated to human brain, based on mathematical laws and related to technological progress, but it is also a powerful tool that should be responsibly used. This project also valorizes teachers' role in scientific education through activities that encourage students to recognize science in every aspect of their lives.

Eleven quick tips for running an interdisciplinary short course for new graduate students.

PubMed

Saunders, Timothy E; He, Cynthia Y; Koehl, Patrice; Ong, L L Sharon; So, Peter T C

2018-03-01

Quantitative reasoning and techniques are increasingly ubiquitous across the life sciences. However, new graduate researchers with a biology background are often not equipped with the skills that are required to utilize such techniques correctly and efficiently. In parallel, there are increasing numbers of engineers, mathematicians, and physical scientists interested in studying problems in biology with only basic knowledge of this field. Students from such varied backgrounds can struggle to engage proactively together to tackle problems in biology. There is therefore a need to establish bridges between those disciplines. It is our proposal that the beginning of graduate school is the appropriate time to initiate those bridges through an interdisciplinary short course. We have instigated an intensive 10-day course that brought together new graduate students in the life sciences from across departments within the National University of Singapore. The course aimed at introducing biological problems as well as some of the quantitative approaches commonly used when tackling those problems. We have run the course for three years with over 100 students attending. Building on this experience, we share 11 quick tips on how to run such an effective, interdisciplinary short course for new graduate students in the biosciences.

Epidemic processes in complex networks

NASA Astrophysics Data System (ADS)

Pastor-Satorras, Romualdo; Castellano, Claudio; Van Mieghem, Piet; Vespignani, Alessandro

2015-07-01

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world networks have a profound impact on the behavior of equilibrium and nonequilibrium phenomena occurring in various systems, and the study of epidemic spreading is central to our understanding of the unfolding of dynamical processes in complex networks. The theoretical analysis of epidemic spreading in heterogeneous networks requires the development of novel analytical frameworks, and it has produced results of conceptual and practical relevance. A coherent and comprehensive review of the vast research activity concerning epidemic processes is presented, detailing the successful theoretical approaches as well as making their limits and assumptions clear. Physicists, mathematicians, epidemiologists, computer, and social scientists share a common interest in studying epidemic spreading and rely on similar models for the description of the diffusion of pathogens, knowledge, and innovation. For this reason, while focusing on the main results and the paradigmatic models in infectious disease modeling, the major results concerning generalized social contagion processes are also presented. Finally, the research activity at the forefront in the study of epidemic spreading in coevolving, coupled, and time-varying networks is reported.

The Human Genome Project: big science transforms biology and medicine

PubMed Central

2013-01-01

The Human Genome Project has transformed biology through its integrated big science approach to deciphering a reference human genome sequence along with the complete sequences of key model organisms. The project exemplifies the power, necessity and success of large, integrated, cross-disciplinary efforts - so-called ‘big science’ - directed towards complex major objectives. In this article, we discuss the ways in which this ambitious endeavor led to the development of novel technologies and analytical tools, and how it brought the expertise of engineers, computer scientists and mathematicians together with biologists. It established an open approach to data sharing and open-source software, thereby making the data resulting from the project accessible to all. The genome sequences of microbes, plants and animals have revolutionized many fields of science, including microbiology, virology, infectious disease and plant biology. Moreover, deeper knowledge of human sequence variation has begun to alter the practice of medicine. The Human Genome Project has inspired subsequent large-scale data acquisition initiatives such as the International HapMap Project, 1000 Genomes, and The Cancer Genome Atlas, as well as the recently announced Human Brain Project and the emerging Human Proteome Project. PMID:24040834

Mathematics and evolutionary biology make bioinformatics education comprehensible.

PubMed

Jungck, John R; Weisstein, Anton E

2013-09-01

The patterns of variation within a molecular sequence data set result from the interplay between population genetic, molecular evolutionary and macroevolutionary processes-the standard purview of evolutionary biologists. Elucidating these patterns, particularly for large data sets, requires an understanding of the structure, assumptions and limitations of the algorithms used by bioinformatics software-the domain of mathematicians and computer scientists. As a result, bioinformatics often suffers a 'two-culture' problem because of the lack of broad overlapping expertise between these two groups. Collaboration among specialists in different fields has greatly mitigated this problem among active bioinformaticians. However, science education researchers report that much of bioinformatics education does little to bridge the cultural divide, the curriculum too focused on solving narrow problems (e.g. interpreting pre-built phylogenetic trees) rather than on exploring broader ones (e.g. exploring alternative phylogenetic strategies for different kinds of data sets). Herein, we present an introduction to the mathematics of tree enumeration, tree construction, split decomposition and sequence alignment. We also introduce off-line downloadable software tools developed by the BioQUEST Curriculum Consortium to help students learn how to interpret and critically evaluate the results of standard bioinformatics analyses.

Mathematics and evolutionary biology make bioinformatics education comprehensible

PubMed Central

Weisstein, Anton E.

2013-01-01

The patterns of variation within a molecular sequence data set result from the interplay between population genetic, molecular evolutionary and macroevolutionary processes—the standard purview of evolutionary biologists. Elucidating these patterns, particularly for large data sets, requires an understanding of the structure, assumptions and limitations of the algorithms used by bioinformatics software—the domain of mathematicians and computer scientists. As a result, bioinformatics often suffers a ‘two-culture’ problem because of the lack of broad overlapping expertise between these two groups. Collaboration among specialists in different fields has greatly mitigated this problem among active bioinformaticians. However, science education researchers report that much of bioinformatics education does little to bridge the cultural divide, the curriculum too focused on solving narrow problems (e.g. interpreting pre-built phylogenetic trees) rather than on exploring broader ones (e.g. exploring alternative phylogenetic strategies for different kinds of data sets). Herein, we present an introduction to the mathematics of tree enumeration, tree construction, split decomposition and sequence alignment. We also introduce off-line downloadable software tools developed by the BioQUEST Curriculum Consortium to help students learn how to interpret and critically evaluate the results of standard bioinformatics analyses. PMID:23821621

Mary Ann Franden | NREL

Science.gov Websites

Ann Franden Photo of Mary Ann Franden Mary Franden Researcher IV-Molecular Biology Mary.Ann.Franden @nrel.gov | 303-384-7767 Research Interests Mary Ann Franden is a senior scientist in the Applied Biology University Professional Experience Senior Scientist, NREL, NBC, Applied Biology Group Professional Research

Mathematical Games

ERIC Educational Resources Information Center

Gardner, Martin

1978-01-01

Describes zoo creatures of interest to recreational mathematicians. Includes the geometrical symmetries of micro- and macroorganisms, topological studies, and imaginary creatures of scientific interest. (MA)

The origins of pure and applied science in Gilded Age America.

PubMed

Lucier, Paul

2012-09-01

"Pure science" and "applied science" have peculiar histories in the United States. Both terms were in use in the early part of the nineteenth century, but it was only in the last decades that they took on new meanings and became commonplace in the discourse of American scientists. The rise in their currency reflected an acute concern about the corruption of character and the real possibilities of commercializing scientific knowledge. "Pure" was the preference of scientists who wanted to emphasize their nonpecuniary motives and their distance from the marketplace. "Applied" was the choice of scientists who accepted patents and profits as other possible returns on their research. In general, the frequent conjoining of "pure" and "applied" bespoke the inseparable relations of science and capitalism in the Gilded Age.

Basic and advanced numerical performances relate to mathematical expertise but are fully mediated by visuospatial skills.

PubMed

Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi

2016-09-01

Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

Geochemistry of post-spreading lavas from fossil Mathematician and Galapagos spreading axes, revisited

NASA Astrophysics Data System (ADS)

Tian, L.; Castillo, P. R.; Hilton, D. R.

2010-12-01

The Mathematician Ridge, located west of the northern end of the EPR at about 10-20°N, 110°W, was abandoned during the Pliocene when the Pacific plate captured the Mathematician microplate. The Galapagos Rise, located east of the southern segment of the EPR at about 10-18°S, 95°W, ceased spreading after the Late Miocene capture of the Bauer microplate by the Nazca plate. Here we report new major and trace element and Sr, Nd and Pb isotope data for lavas dredged from seamounts and volcanic ridges along the crest of Mathematician Ridge [Batiza and Vanko, J. Petrol. 26, 1985] and from narrow volcanic ridges built along extinct segments of the Galapagos Rise [Batiza et al., Mar. Geol. 49, 1982]. These lavas consist predominantly of alkalic basalts and their differentiates, similar to the post-spreading alkalic lava series in other fossil spreading axes (e.g., Davidson Seamount, Guide Seamount, Socorro Island, and fossil spreading axes off Baja California Sur) and alkalic lavas from near-ridge seamounts in the eastern Pacific [Castillo et al., G3 11, 2010; Tian et al., sub. to G3]. Collectively, the alkalic lavas have higher incompatible trace element contents and highly/moderately incompatible trace element ratios (e.g., Ba/Zr >1.3, La/Sm >2.7 and Nb/Zr >0.14) than EPR basalts, and are similar to average alkalic OIB. They also have similar 87Sr/86Sr (0.7027 - 0.7037), 143Nd/144Nd (0.51289 - 0.51306) and 206Pb/204Pb (18.70 - 19.84) compositions, which overlap with geochemically enriched (E-) MORB and ~depleted OIB from major hotspot volcanic chains such as Galapagos, Hawaii and Iceland. The new data suggest that intraplate lavas from fossil spreading axes and non-hotspot seamounts in the eastern Pacific share a common enriched source which is geographically dispersed in the upper mantle.

Northern East Pacific Rise: Magnetic anomaly and bathymetric framework

USGS Publications Warehouse

Klitgord, Kim D.; Mammerickx, Jacqueline

1982-01-01

The oceanic crust in the eastern Pacific between 7°N and 30°N and east of 127°W contains a fairly complete history of the spreading centers associated with the East Pacific Rise since 25 m.y. B.P. (late Oligocene). In this paper, we have summarized the seafloor spreading magnetic-anomaly data and the bathymetric data that reflect the record of this tectonic history. The well-defined magnetic lineations north of the Clarion fracture zone, in the mouth of the Gulf of California, and on the east flank of the East Pacific Rise (EPR) are carefully examined and used to provide a guide for interpreting the spreading pattern between the Clarion and Clipperton fracture zones, southward of the Rivera fracture zone over the Mathematician Ridge, and over the entire EPR east of the Mathematician Ridge between the Rivera and Siqueiros fracture zones. The bathymetric data provide a trace of the fracture zone pattern in each of the above mentioned areas. The fracture zone bathymetry and the seafloor spreading magnetic lineations on the EPR south of the Rivera fracture zone have a distinctive fanning pattern caused by close poles of rotation and plate boundary reorganizations. All these data provide a good record of the plate reorganizations in the middle Miocene at magnetic anomaly 5 A time (12.5 to 11 m.y. B.P.), in the late Miocene at magnetic anomaly 3′−4 time (6.5 m.y. B.P.), and in the Pliocene at magnetic anomaly 2′−3 time (3.5 m.y. B.P.). Several abandoned spreading centers, including the Mathematician Ridge, were left behind as a result of these reorganizations. The Mathematician Ridge is shown to be a set of ridges and trough whose origin is related to the tectonic activity associated with each of the above mentioned reorganizations since anomaly 5A.

Imagining Deep Time (Invited)

NASA Astrophysics Data System (ADS)

Talasek, J.

2013-12-01

Imagining Deep Time '...the mind seemed to grow giddy by looking so far into the abyss of time.' John Playfair (1748 -1819), scientist and mathematician "Man cannot afford to conceive of nature and exclude himself." Emmit Gowin, photographer 'A person would have to take themselves out of the human context to begin to think in terms of geologic time. They would have to think like a rock.' Terry Falke, photographer The term Deep Time refers to the vastness of the geological time scale. First conceived in the 18th century, the development of this perspective on time has been pieced together like a jigsaw puzzle of information and observations drawn from the study of the earth's structure and discovered fossilized flora and fauna. Deep time may possibly be the greatest contribution made by the discipline of geology forever impacting our perception of earth and our relationship to it. How do we grasp such vast concepts as deep time which relates to the origins of the earth or cosmic time which relates to the origins of the universe - concepts that exist far beyond the realm of human experience? Further more how do we communicate this? The ability to visualize is a powerful tool of discovery and communication for the scientist and it is part and parcel of the work of visual artists. The scientific process provides evidence yet it is imagination on the part of the scientists and artists alike that is needed to interpret that information. This exhibition represents an area where both rational and intuitive thinking come together to explore this question of how we relate to the vastness of time. The answer suggested by the combination of art work assembled here suggests that we do so through a combination of visual metaphors (cycles, circles, arrows, trajectories) and visual evidence (rock formations, strata, fossils of fauna and flora) while being mediated through various technologies. One provides factual and empirical evidence while the other provides a way of grasping and relating to a vast concept on a personal level. This exhibition explores the usefulness as well as the limitations of the visualization of deep time.

Two-Way Communication between Scientists and the Public: A View from Science Communication Trainers in North America

ERIC Educational Resources Information Center

Yuan, Shupei; Oshita, Tsuyoshi; AbiGhannam, Niveen; Dudo, Anthony; Besley, John C.; Koh, Hyeseung E.

2017-01-01

The current study explores the degree to which two-way communication is applied in science communication contexts in North America, based on the experiences of science communication trainers. Interviews with 24 science communication trainers suggest that scientists rarely focus on applying two-way communication tactics, such as listening to their…

Jobs for Women in Science. A Discussion for the Conference for Educating Women for Science: A Continuous Spectrum.

ERIC Educational Resources Information Center

Hanson, Marlys C.

Opportunities for scientists in the near future will be very good in the fields of energy research and development, both for degreed scientists and for technicians. Geologists, geophysicists, mining engineers, rock mechanics, hydrologists, applied physicists, applied chemists, and nuclear engineers are among the types of personnel needed. These…

How Work Positions Affect the Research Activity and Information Behaviour of Laboratory Scientists in the Research Lifecycle: Applying Activity Theory

ERIC Educational Resources Information Center

Kwon, Nahyun

2017-01-01

Introduction: This study was conducted to investigate the characteristics of research and information activities of laboratory scientists in different work positions throughout a research lifecycle. Activity theory was applied as the conceptual and analytical framework. Method: Taking a qualitative research approach, in-depth interviews and field…

Linear Elastic Waves - Series: Cambridge Texts in Applied Mathematics (No. 26)

NASA Astrophysics Data System (ADS)

Harris, John G.

2001-10-01

Wave propagation and scattering are among the most fundamental processes that we use to comprehend the world around us. While these processes are often very complex, one way to begin to understand them is to study wave propagation in the linear approximation. This is a book describing such propagation using, as a context, the equations of elasticity. Two unifying themes are used. The first is that an understanding of plane wave interactions is fundamental to understanding more complex wave interactions. The second is that waves are best understood in an asymptotic approximation where they are free of the complications of their excitation and are governed primarily by their propagation environments. The topics covered include reflection, refraction, the propagation of interfacial waves, integral representations, radiation and diffraction, and propagation in closed and open waveguides. Linear Elastic Waves is an advanced level textbook directed at applied mathematicians, seismologists, and engineers. Aimed at beginning graduate students Includes examples and exercises Has application in a wide range of disciplines

The Six Streams of the Emerging Scientist

NASA Technical Reports Server (NTRS)

Sun, Sidney

2017-01-01

NASA invests in professional coaching as a way to accelerate the development of its staff. The speaker shares one foundational human development model in coaching - the Six Streams - and applies it to the challenges that new scientists face. The speaker also describes how a new scientist can develop greater capabilities in the Six Streams so that they can become a more effective scientist and feel more satisfaction with their work.

Special issue on Econophysics

NASA Astrophysics Data System (ADS)

Richmond, P.; Ausloos, M.; Dacorogna, M.

2002-05-01

The area of research described as “econophysics" is renewing a kinship between physicists and economists and financial practitioners, that has been lost since the 19th century when scientists such as Pascal and Halley made groundbreaking advances in the area. Now, new meetings are revealing new research opportunities outside the established pathways traditionally explored within economics and finance. In December 2001, around 100 researchers from across the world attended the EPS meeting “Applications of Physics to Financial Analysis” (APFA3). This was held in the Museum of London Conference Centre which was chosen for its proximity to the City of London and its trading centres. The meeting was especially useful in bringing together roughly equal numbers of physicists, mathematicians and financial practitioners. Taking part in the conference we had the impression that, whilst the relation between physics and applied finance may still be at an early stage, it is evolving very quickly. As in nature, a sign of evolution is the emergence of different and specialised branches, each w ith their own specific character. Papers covered a range of topics, including: market modelling, risk management, agent-based modelling, hedging in incomplete markets, benchmarking, performance measurement, foreign exchange markets, time series analysis and prediction, efficient market hypothesis, equilibrium and non-equilibrium markets, economic a nd financial networks, the valuation of derivatives, growth and bankruptcy. The meeting was sponsored by the European Physical Society and the UK Institute of Physics. The invited speakers were J.Ph. Bouchaud, J.F. Muzy, K. Sneppen, G. Iori and S. Solomon. Articles outlining some of the more interesting advances in this fie ld have been selected by the Guest Editors, from amongst the submitted articles, and after having been refereed, they are presented here in this edition of EPJ B. APFA3 closed on a positive note. There was a feeling that links between academia and industry are healthy and that these new interactions between Physics and Finance are producing valuable scientific and economic results.

How do scientists respond to anomalies? Different strategies used in basic and applied science.

PubMed

Trickett, Susan Bell; Trafton, J Gregory; Schunn, Christian D

2009-10-01

We conducted two in vivo studies to explore how scientists respond to anomalies. Based on prior research, we identify three candidate strategies: mental simulation, mental manipulation of an image, and comparison between images. In Study 1, we compared experts in basic and applied domains (physics and meteorology). We found that the basic scientists used mental simulation to resolve an anomaly, whereas applied science practitioners mentally manipulated the image. In Study 2, we compared novice and expert meteorologists. We found that unlike experts, novices used comparison to address anomalies. We discuss the nature of expertise in the two kinds of science, the relationship between the type of science and the task performed, and the relationship of the strategies investigated to scientific creativity. Copyright © 2009 Cognitive Science Society, Inc.

The analysis of crystallographic symmetry types in finite groups

NASA Astrophysics Data System (ADS)

Sani, Atikah Mohd; Sarmin, Nor Haniza; Adam, Nooraishikin; Zamri, Siti Norziahidayu Amzee

2014-06-01

Undeniably, it is human nature to prefer objects which are considered beautiful. Most consider beautiful as perfection, hence they try to create objects which are perfectly balance in shape and patterns. This creates a whole different kind of art, the kind that requires an object to be symmetrical. This leads to the study of symmetrical objects and pattern. Even mathematicians and ethnomathematicians are very interested with the essence of symmetry. One of these studies were conducted on the Malay traditional triaxial weaving culture. The patterns derived from this technique are symmetrical and this allows for further research. In this paper, the 17 symmetry types in a plane, known as the wallpaper groups, are studied and discussed. The wallpaper groups will then be applied to the triaxial patterns of food cover in Malaysia.

Mathematical Games

ERIC Educational Resources Information Center

Gardner, Martin

1978-01-01

Describes the life and work of Charles Peirce, U.S. mathematician and philosopher. His accomplishments include contributions to logic, the foundations of mathematics and scientific method, and decision theory and probability theory. (MA)

Heavenly Networks. Celestial Maps and Globes in Circulation between Artisans, Mathematicians, and Noblemen in Renaissance Europe.

PubMed

Gessner, Samuel

2015-01-01

The aim of this paper is to examine the iconography on a set of star charts by Albrecht Dürer (1515), and celestial globes by Caspar Vopel (1536) and Christoph Schissler (1575). The iconography on these instruments is conditioned by strong traditions which include not only the imagery on globes and planispheres (star charts), but also ancient literature about the constellations. Where this iconography departs from those traditions, the change had to do with humanism in the sixteenth century. This "humanistic" dimension is interwoven with other concerns that involve both "social" and "technical" motivations. The interplay of these three dimensions illustrates how the iconography on celestial charts and globes expresses some features of the shared knowledge and shared culture between artisans, mathematicians, and nobles in Renaissance Europe.

[Mathematics, natural sciences and technology--parts of the encyclopedia Die Kultur der Gegenwart (The culture of today)].

PubMed

Tobies, Renate

2008-03-01

The paper explores the trend of the early 20th century to consolidate mathematics, natural sciences, medicine and technology under the umbrella of one integrative culture--a tendency which contrasts with the increasing mainstream trend of separating the humanities from the natural sciences. The unifying umbrella was framed by the great encyclopedia Die Kultur der Gegenwart which was published by B. G. Teubner from 1905 to 1925 and was planned to run up to 62 volumes. We analyze the quantitative rate of the parts devoted to the humanities, the natural sciences and technology, respectively, the degree to which these parts were completed in this encyclopedia. In particular, we investigate the role of mathematicians and their reasons to find a classification for the mathematical, natural scientific and engineering parts of culture as well as their reasons, to win Nobel prize winners and other famous scientists to become co-editors and authors. We examine the published volumes in the fields of mathematics, chemistry, physics, astronomy and technology in order to show what type of publication--professional or popular--was intended. Furthermore, we illuminate how the educational reform of mathematics, natural sciences and technology of this period--which included a reform of girls' and women's education--was reflected in the encyclopedia Die Kultur der Gegenwart.

The Melencolia Manifesto

NASA Astrophysics Data System (ADS)

Finkelstein, David Ritz

2016-12-01

Few artworks have been the subject of more extensive modern interpretation than Melencolia I by renowned artist, mathematician, and scientist Albrecht Dürer (1514). And yet, did each of these art experts and historians miss a secret manifesto that Dürer included within the engraving? This is the first work to decrypt secrets within Melencolia I based not on guesswork, but Dürer's own writings, other subliminal artists that inspired him (i.e., Leonardo da Vinci), the Jewish and Christian Bibles, and books that inspired Dürer (De Occulta Philosophia and the Hieorglyphica). To read the covert message of Melencolia I is to understand that Dürer was a humanist in his interests in mathematics, science, poetry, and antiquity. This book recognizes his unparalleled power with the burin, his mathematical skill in perspective, his dedication to precise language, and his acute observation of nature. Melencolia I may also be one of the most controversial (and at the time most criminal) pieces of art as it hid Dürer's disdain for the hierarchy of the Catholic Church, the Kaiser, and the Holy Roman Empire from the general public for centuries. This book closely ties the origins of philosophy (science) and the work of a Renaissance master together, and will be of interest for anyone who loves scientific history, art interpretation, and secret manifestos.

Defining Computational Thinking for Mathematics and Science Classrooms

NASA Astrophysics Data System (ADS)

Weintrop, David; Beheshti, Elham; Horn, Michael; Orton, Kai; Jona, Kemi; Trouille, Laura; Wilensky, Uri

2016-02-01

Science and mathematics are becoming computational endeavors. This fact is reflected in the recently released Next Generation Science Standards and the decision to include "computational thinking" as a core scientific practice. With this addition, and the increased presence of computation in mathematics and scientific contexts, a new urgency has come to the challenge of defining computational thinking and providing a theoretical grounding for what form it should take in school science and mathematics classrooms. This paper presents a response to this challenge by proposing a definition of computational thinking for mathematics and science in the form of a taxonomy consisting of four main categories: data practices, modeling and simulation practices, computational problem solving practices, and systems thinking practices. In formulating this taxonomy, we draw on the existing computational thinking literature, interviews with mathematicians and scientists, and exemplary computational thinking instructional materials. This work was undertaken as part of a larger effort to infuse computational thinking into high school science and mathematics curricular materials. In this paper, we argue for the approach of embedding computational thinking in mathematics and science contexts, present the taxonomy, and discuss how we envision the taxonomy being used to bring current educational efforts in line with the increasingly computational nature of modern science and mathematics.

International medical graduates in the United States: a view from an ECFMG certificant.

PubMed

Zerhouni, Elias A

2006-12-01

The author was instilled with a passion for mathematics and physics by his father, who taught those subjects in a small Algerian town. Another indelible influence came during a high school mathematics class when his teacher gave the class a problem to solve. Little did the students know that it was Fermat's Last Theorem, which stumped them, and before that, every mathematician since 1630. This experience taught the author that failing to get the final answer was part of learning. He became enchanted with imaging techniques and after earning his medical degree in Algeria, came to study at Johns Hopkins. There he received the training he desired in diagnostic radiology. The author believes science has no borders and would like to see the opportunities that were extended to him in 1975 given to immigrants today. Although the United States produces many graduates in the sciences and mathematics, the nation still has a shortfall and must, he argues, work harder to educate and inspire this country's youth in addition to welcoming the brightest and most able scientists from around the world. He also discusses the crucial role of the National Institutes of Health in furthering global health by funding international biomedical research and by transforming medicine in the 21st century.

Johannes Kepler - And the New Astronomy

NASA Astrophysics Data System (ADS)

Voelkel, James R.

1999-11-01

Johannes Kepler (1571-1630) is remembered as one of the greatest medieval astronomers in the tradition of Copernicus and Galileo, a man who made major contributions to physics, astronomy, and mathematics. Born in Germany and trained as a theologian, Kepler did not hesitate to challenge church doctrine by supporting the iconoclastic theory of a Sun-centered solar system. As Imperial Mathematician to the Holy Roman Emperor, he conducted careful observations of the night sky, which led to his discovery of the three Laws of Planetary Motion and the orbit of Mars. He also devised the Rudolphine Tables on planetary movements, and made key improvements to the telescope. Voelkel vividly describes the scientific achievements, providing enough background in physics and trigonometry so even beginners can enjoy this book. The author also gives us a captivating account of Kepler's tumultuous life, plagued by misery, disease, and fervent religious prosecution by the Catholic Church.Oxford Portraits in Science is an ongoing series of scientific biographies for young adults. Written by top scholars and writers, each biography examines the personality of its subject as well as the thought process leading to his or her discoveries. These illustrated biographies combine accessible technical information with compelling personal stories to portray the scientists whose work has shaped our understanding of the natural world.

What Are the Odds?

ERIC Educational Resources Information Center

Beam, John

2012-01-01

Students and mathematicians alike have long struggled to understand the nature of probability. This article explores the use of gambling activities as a basis for defining probabilities. (Contains 1 table and 1 figure.)

A Look at Infinite Series

ERIC Educational Resources Information Center

Basor, Estelle

1978-01-01

Sums for divergent series that were seriously considered by eighteenth century mathematicians are shown to have reappeared as result of new interpretations for divergent series that make these previous conclusions valid. (MN)

Attractors of equations of non-Newtonian fluid dynamics

NASA Astrophysics Data System (ADS)

Zvyagin, V. G.; Kondrat'ev, S. K.

2014-10-01

This survey describes a version of the trajectory-attractor method, which is applied to study the limit asymptotic behaviour of solutions of equations of non-Newtonian fluid dynamics. The trajectory-attractor method emerged in papers of the Russian mathematicians Vishik and Chepyzhov and the American mathematician Sell under the condition that the corresponding trajectory spaces be invariant under the translation semigroup. The need for such an approach was caused by the fact that for many equations of mathematical physics for which the Cauchy initial-value problem has a global (weak) solution with respect to the time, the uniqueness of such a solution has either not been established or does not hold. In particular, this is the case for equations of fluid dynamics. At the same time, trajectory spaces invariant under the translation semigroup could not be constructed for many equations of non-Newtonian fluid dynamics. In this connection, a different approach to the construction of trajectory attractors for dissipative systems was proposed in papers of Zvyagin and Vorotnikov without using invariance of trajectory spaces under the translation semigroup and is based on the topological lemma of Shura-Bura. This paper presents examples of equations of non-Newtonian fluid dynamics (the Jeffreys system describing movement of the Earth's crust, the model of motion of weak aqueous solutions of polymers, a system with memory) for which the aforementioned construction is used to prove the existence of attractors in both the autonomous and the non-autonomous cases. At the beginning of the paper there is also a brief exposition of the results of Ladyzhenskaya on the existence of attractors of the two-dimensional Navier-Stokes system and the result of Vishik and Chepyzhov for the case of attractors of the three-dimensional Navier-Stokes system. Bibliography: 34 titles.

Interfacing microbiology and biotechnology. Conference abstracts

DOE Office of Scientific and Technical Information (OSTI.GOV)

Maupin, Julia A.

2001-05-19

The Interfacing Microbiology and Biotechnology Conference was attended by over 100 faculty, post-docs, students, and research scientists from the US, Europe, and Latin America. The conference successfully stimulated communication and the dissemination of knowledge among scientists involved in basic and applied research. The focus of the conference was on microbial physiology and genetics and included sessions on C1 metabolism, archaeal metabolism, proteases and chaperones, gene arrays, and metabolic engineering. The meeting provided the setting for in-depth discussions between scientists who are internationally recognized for their research in these fields. The following objectives were met: (1) The promotion of interaction andmore » future collaborative projects among scientists involved in basic and applied research which incorporates microbial physiology, genetics, and biochemistry; (2) the facilitation of communication of new research findings through seminars, posters, and abstracts; (3 ) the stimulation of enthusiasm and education among participants including graduate and undergraduate students.« less

A Visit from Pythagoras--Using Costumes in the Classroom.

ERIC Educational Resources Information Center

Shirley, Lawrence H.

2000-01-01

Presents ways of making mathematics come alive for students including inviting historical mathematicians into the classroom. Suggests that costumes and drama add special appeal to looking at the history of mathematics. (KHR)

Relativistic Theory of Gheorghe Zapan for Psychical Phenoma

NASA Astrophysics Data System (ADS)

Sofonea, Liviu

A biography and an account of main scientific research of a Psychologist, Mathematician, Cybernetician, Teacher, Army officer, Lawyer Gheorghe Zapan (1891-1976) and of his relation with Special and General Relativity is given.

Why Tu Youyou Makes Less Money Than Zhang Ziyi?

PubMed

Suo, Qinghui; Liu, Yang; Zhang, Daming

2017-08-01

Scientists normally earn less money than many other professions which require a similar amount of training and qualification. The economic theory of marginal utility and cost-benefit analysis can be applied to explain this phenomenon. Although scientists make less money than entertainment stars, the scientists do research work out of their interest and they also enjoy a much higher reputation and social status in some countries.

A multidimensional approach to training mathematics students at a university: improving the efficiency through the unity of social, psychological and pedagogical aspects

NASA Astrophysics Data System (ADS)

Kuznetsova, Elena; Matytcina, Marina

2018-04-01

The article deals with social, psychological and pedagogical aspects of teaching mathematics students at universities. The sociological portrait and the factors influencing a career choice of a mathematician have been investigated through the survey results of 198 first-year students of applied mathematics major at 27 state universities (Russia). Then, psychological characteristics of mathematics students have been examined based on scientific publications. The obtained results have allowed us to reveal pedagogical conditions and specific ways of training mathematics students in the process of their education at university. The article also contains the analysis of approaches to the development of mathematics education both in Russia and in other countries. The results may be useful for teaching students whose training requires in-depth knowledge of mathematics.

How Many Spots Does a Cheetah Have?

ERIC Educational Resources Information Center

Reed, Kristine M.

2000-01-01

Describes first grade students' mathematical investigation of the number of spots on a cheetah. The exploration of counting and estimation strategies that grew from the investigation gives evidence that mathematicians come in all ages. (ASK)

Reiche, Maria (1903-98)

NASA Astrophysics Data System (ADS)

Murdin, P.

2000-11-01

German mathematician and archaeologist, born Dresden, fled the Nazi regime to Peru, identified and researched the huge figures of Nazca drawn in the desert and revealed the knowledge of astronomy of the ancient inhabitants of Peru's coastal region....

Take a scientist to the sauna: A great way to keep science and stewardship working together for another 50 years

Treesearch

Alan E. Watson; H. Ken Cordell

2014-01-01

At a workshop in Oulanka National Park in Finland, shortly after the Finnish Wilderness Act had passed in 1991, managers and scientists wrestled with how to incorporate science into protection of wildlands of northern Finland. One working group was assigned to develop a list of "why managers don't apply the information scientists provide" and another...

openBEB: open biological experiment browser for correlative measurements

PubMed Central

2014-01-01

Background New experimental methods must be developed to study interaction networks in systems biology. To reduce biological noise, individual subjects, such as single cells, should be analyzed using high throughput approaches. The measurement of several correlative physical properties would further improve data consistency. Accordingly, a considerable quantity of data must be acquired, correlated, catalogued and stored in a database for subsequent analysis. Results We have developed openBEB (open Biological Experiment Browser), a software framework for data acquisition, coordination, annotation and synchronization with database solutions such as openBIS. OpenBEB consists of two main parts: A core program and a plug-in manager. Whereas the data-type independent core of openBEB maintains a local container of raw-data and metadata and provides annotation and data management tools, all data-specific tasks are performed by plug-ins. The open architecture of openBEB enables the fast integration of plug-ins, e.g., for data acquisition or visualization. A macro-interpreter allows the automation and coordination of the different modules. An update and deployment mechanism keeps the core program, the plug-ins and the metadata definition files in sync with a central repository. Conclusions The versatility, the simple deployment and update mechanism, and the scalability in terms of module integration offered by openBEB make this software interesting for a large scientific community. OpenBEB targets three types of researcher, ideally working closely together: (i) Engineers and scientists developing new methods and instruments, e.g., for systems-biology, (ii) scientists performing biological experiments, (iii) theoreticians and mathematicians analyzing data. The design of openBEB enables the rapid development of plug-ins, which will inherently benefit from the “house keeping” abilities of the core program. We report the use of openBEB to combine live cell microscopy, microfluidic control and visual proteomics. In this example, measurements from diverse complementary techniques are combined and correlated. PMID:24666611

Learning Without Boundaries: A NASA - National Guard Bureau Distance Learning Partnership

NASA Technical Reports Server (NTRS)

Anderson, Susan H.; Chilelli, Christopher J.; Picard, Stephan

2003-01-01

With a variety of high-quality live interactive educational programs originating at the Johnson Space Center in Houston, Texas and other space and research centers, the US space agency NASA (National Aeronautics and Space Administration) has a proud track record of connecting with students throughout the world and stimulating their creativity and collaborative skills by teaching them underlying scientific and technological underpinnings of space exploration. However, NASA desires to expand its outreach capability for this type of interactive instruction. In early 2002, NASA and the National Guard Bureau -- using the Guard's nationwide system of state-ofthe-art classrooms and high bandwidth network -- began a collaboration to extend the reach of NASA content and educational programs to more of America's young people. Already, hundreds of elementary, middle, and high school students have visited Guard e-Learning facilities and participated in interactive NASA learning events. Topics have included experimental flight, satellite imagery-interpretation, and Mars exploration. Through this partnership, NASA and the National Guard are enabling local school systems throughout the United States (and, increasingly, the world) to use the excitement of space flight to encourage their students to become passionate about the possibility of one day serving as scientists, mathematicians, technologists, and engineers. At the 54th International Astronautical Conference MAJ Stephan Picard, the guiding visionary behind the Guard's partnership with NASA, and Chris Chilelli, an educator and senior instructional designer at NASA, will share with attendees background on NASA's educational products and the National Guard's distributed learning network; will discuss the unique opportunity this partnership already has provided students and teachers throughout the United States; will offer insights into the formation by government entities of e-Learning partnerships with one another; and will suggest a possible future for the NASA - National Guard Bureau partnership, one potentially to include live multi-party interaction of hundreds of students in several countries with astronauts, scientists, engineers and designers. To inspire the next generation of explorers as only NASA can!

Modelling spatiotemporal change using multidimensional arrays Meng

NASA Astrophysics Data System (ADS)

Lu, Meng; Appel, Marius; Pebesma, Edzer

2017-04-01

The large variety of remote sensors, model simulations, and in-situ records provide great opportunities to model environmental change. The massive amount of high-dimensional data calls for methods to integrate data from various sources and to analyse spatiotemporal and thematic information jointly. An array is a collection of elements ordered and indexed in arbitrary dimensions, which naturally represent spatiotemporal phenomena that are identified by their geographic locations and recording time. In addition, array regridding (e.g., resampling, down-/up-scaling), dimension reduction, and spatiotemporal statistical algorithms are readily applicable to arrays. However, the role of arrays in big geoscientific data analysis has not been systematically studied: How can arrays discretise continuous spatiotemporal phenomena? How can arrays facilitate the extraction of multidimensional information? How can arrays provide a clean, scalable and reproducible change modelling process that is communicable between mathematicians, computer scientist, Earth system scientist and stakeholders? This study emphasises on detecting spatiotemporal change using satellite image time series. Current change detection methods using satellite image time series commonly analyse data in separate steps: 1) forming a vegetation index, 2) conducting time series analysis on each pixel, and 3) post-processing and mapping time series analysis results, which does not consider spatiotemporal correlations and ignores much of the spectral information. Multidimensional information can be better extracted by jointly considering spatial, spectral, and temporal information. To approach this goal, we use principal component analysis to extract multispectral information and spatial autoregressive models to account for spatial correlation in residual based time series structural change modelling. We also discuss the potential of multivariate non-parametric time series structural change methods, hierarchical modelling, and extreme event detection methods to model spatiotemporal change. We show how array operations can facilitate expressing these methods, and how the open-source array data management and analytics software SciDB and R can be used to scale the process and make it easily reproducible.

Scientists as writers

NASA Astrophysics Data System (ADS)

Yore, Larry D.; Hand, Brian M.; Prain, Vaughan

2002-09-01

This study attempted to establish an image of a science writer based on a synthesis of writing theory, models, and research literature on academic writing in science and other disciplines and to contrast this image with an actual prototypical image of scientists as writers of science. The synthesis was used to develop a questionnaire to assess scientists' writing habits, beliefs, strategies, and perceptions about print-based language. The questionnaire was administered to 17 scientists from science and applied science departments of a large Midwestern land grant university. Each respondent was interviewed following the completion of the questionnaire with a custom-designed semistructured protocol to elaborate, probe, and extend their written responses. These data were analyzed in a stepwise fashion using the questionnaire responses to establish tentative assertions about the three major foci (type of writing done, criteria of good science writing, writing strategies used) and the interview responses to verify these assertions. Two illustrative cases (a very experienced, male physical scientist and a less experienced, female applied biological scientist) were used to highlight diversity in the sample. Generally, these 17 scientists are driven by the academy's priority of publishing their research results in refereed, peer-reviewed journals. They write their research reports in isolation or as a member of a large research team, target their writing to a few journals that they also read regularly, use writing in their teaching and scholarship to inform and persuade science students and other scientists, but do little border crossing into other discourse communities. The prototypical science writer found in this study did not match the image based on a synthesis of the writing literature in that these scientists perceived writing as knowledge telling not knowledge building, their metacognition of written discourse was tacit, and they used a narrow array of genre, strategies, target audiences, and expectations for their writing.

Mighty Mathematicians: Using Problem Posing and Problem Solving to Develop Mathematical Power

ERIC Educational Resources Information Center

McGatha, Maggie B.; Sheffield, Linda J.

2006-01-01

This article describes a year-long professional development institute combined with a summer camp for students. Both were designed to help teachers and students develop their problem-solving and problem-posing abilities.

Math Roots: The Beginnings of the Metric System

ERIC Educational Resources Information Center

Johnson, Art; Norris, Kit; Adams,Thomasina Lott, Ed.

2007-01-01

This article reviews the history of the metric system, from a proposal of a sixteenth-century mathematician to its implementation in Revolutionary France some 200 years later. Recent developments in the metric system are also discussed.

New Forms of Stolz-Cesaro Lemma

ERIC Educational Resources Information Center

Mortici, Cristinel

2011-01-01

The well-known Stolz-Cesaro lemma is due to the mathematicians Ernesto Cesaro (1859-1906) and Otto Stolz (1842-1905). The aim of this article is to give new forms of Stolz-Cesaro lemma involving the limit [image omitted].

Theano: The World's First Female Mathematician?

ERIC Educational Resources Information Center

Deakin, Michael A. B.

2013-01-01

Theano, an associate, most likely the wife, of Pythagoras, has some claim to be the first woman to play an active role in mathematics. The question of how far this claim can be supported is here examined.

Reflections on the Notion of Culture in the History of Mathematics: The Example of "Geometrical Equations".

PubMed

Lê, François

2016-09-01

Argument This paper challenges the use of the notion of "culture" to describe a particular organization of mathematical knowledge, shared by a few mathematicians over a short period of time in the second half of the nineteenth century. This knowledge relates to "geometrical equations," objects that proved crucial for the mechanisms of encounters between equation theory, substitution theory, and geometry at that time, although they were not well-defined mathematical objects. The description of the mathematical collective activities linked to "geometrical equations," and especially the technical aspects of these activities, is made on the basis of a sociological definition of "culture." More precisely, after an examination of the social organization of the group of mathematicians, I argue that these activities form an intricate system of patterns, symbols, and values, for which I suggest a characterization as a "cultural system."

In Service to the Nation: The Geology Scientist Emeritus Program

USGS Publications Warehouse

Adrian, B.M.; Bybell, L.M.; Brady, S.R.

2008-01-01

The Geology Scientist Emeritus Program of the U.S. Geological Survey was established in 1986 as part of the Bureau's Volunteer for Science Program. The purpose of the Scientist Emeritus (SE) Program is to help support retired USGS senior scientists as they volunteer their expertise, intellect, and creativity in efforts that allow them to remain active in the geoscience community, enhance the program activities of the Geology Discipline, and serve the public. The SE Program is open to all scientists and technical experts who have demonstrated leadership qualities and contributed to the goals of the USGS during a productive career. As long as the individual applying has been a scientist or technical expert, he or she may be considered for the SE Program, regardless of their previous position with the USGS.

The Role of Physicists in Policy Making

NASA Astrophysics Data System (ADS)

Handler, Thomas

2011-10-01

Since World War II, physicists have been involved in various aspects of national life. The roles played have included: 1) Pure or applied researcher, 2) Advisor to policy makers, and 3) Congressman. Today there are many challenges and questions that the United States faces and scientists, physicists included, are often asked on how these challenges should be addressed. In addressing these concerns what is the ``proper'' role that scientists should play? Do scientists even know what the possible roles are? This talk will briefly address the possible roles that scientists play and what other avenues of input go into the making of policy.

Jean Baptiste Joseph Fourier

NASA Astrophysics Data System (ADS)

Sterken, C.

2003-03-01

This paper gives a short account of some key elements in the life of Jean Baptiste Joseph Fourier (1768-1830), specifically his relation to Napoleon Bonaparte. The mathematical approach to Fourier series and the original scepticism by French mathematicians are briefly illustrated.

3 CFR 8918 - Proclamation 8918 of December 17, 2012. Wright Brothers Day, 2012

Code of Federal Regulations, 2013 CFR

2013-01-01

... their lifelong dream. Like so many Americans before and after them, these two men achieved the... mother, Susan—a gifted mathematician in her own right who challenged her children to think big and dream...

The Relationship Between Mathematics and Physics at Pre-O-Level Stage

ERIC Educational Resources Information Center

Education in Science, 1976

1976-01-01

Presented are recommendations of English mathematicians and physicists for ensuring that there is an optimum match in the math/physics interface in secondary schools. Recommendations stress the need for increased cooperation between the disciplines. (SL)

Mario Bunge, Systematic Philosophy and Science Education: An Introduction

NASA Astrophysics Data System (ADS)

Matthews, Michael R.

2012-10-01

Mario Bunge was born in Argentina in 1919 and is now in his mid-90s. He studied atomic physics and quantum mechanics with Guido Beck (1903-1988), an Austrian refugee and student of Heisenberg. Additionally he studied modern philosophy in an environment that was a philosophical backwater becoming the first South American philosopher of science to be trained in science. His publications in physics, philosophy, psychology, sociology and the foundations of biology, are staggering in number, and include a massive 8-volume Treatise on Philosophy. The unifying thread of his scholarship is the constant and vigorous advancement of the Enlightenment Project, and criticism of cultural and academic movements that deny or devalue the core planks of the project: namely its naturalism, the search for truth, the universality of science, the value of rationality, and respect for individuals. At a time when specialisation is widely decried, and its deleterious effects on science, philosophy of science, educational research and science teaching are recognised, and at a time when `grand narratives' are thought both undesirable and impossible—it is salutary to appraise the fruits of one person's pursuit of the `Big' scientific and philosophical picture or grand narrative. In doing so this special issue brings together philosophers, physicists, biologists, sociologists, logicians, cognitive scientists, economists and mathematicians to examine facets of Mario Bunge's systematic philosophy and to appraise its contribution to important issues in current philosophy and, by implication, education.

Atmospheric detectives: Atlas 2 teacher's guide with activities. For use with middle-school students

NASA Technical Reports Server (NTRS)

1992-01-01

Can you imagine doing a science project in space? This is the challenging and exciting situation that researchers experience in Spacelab, the laboratory carried inside the Shuttle. Here, hundreds of kilometers above Earth's surface, the crews of the ATLAS missions scan, probe, and measure concentrations of chemicals and water vapor in Earth's protective bubble. So far, one ATLAS crew has rocketed into the atmosphere, watching many sunrises and sunsets come and go while activating delicate instruments and conducting experiments that monitor the complicated interactions between the Sun, the atmosphere, and Earth. We, the crew of ATLAS 2, will continue this important work aboard the Space Shuttle. Together, we will gather data that will be compared with information from satellites, balloons, and instruments on the ground. As part of the National Aeronautics and Space Administration's (NASA's) contribution to Mission to Planet Earth, ATLAS 2 will help develop a thorough picture of the Sun's output, its interaction with the atmosphere, and the well-being of Earth's middle atmosphere. Because the health of the atmosphere is of vital importance to all Earth's inhabitants, everyone should be part of this investigation. You can be active participants in exciting and vital activities: recycling and practicing other conservation methods and gathering information to learn more about how you can keep our atmosphere healthy now, as students, and in the future as informed citizens, scientists, technicians, and mathematicians.

Microarray-Based Gene Expression Analysis for Veterinary Pathologists: A Review.

PubMed

Raddatz, Barbara B; Spitzbarth, Ingo; Matheis, Katja A; Kalkuhl, Arno; Deschl, Ulrich; Baumgärtner, Wolfgang; Ulrich, Reiner

2017-09-01

High-throughput, genome-wide transcriptome analysis is now commonly used in all fields of life science research and is on the cusp of medical and veterinary diagnostic application. Transcriptomic methods such as microarrays and next-generation sequencing generate enormous amounts of data. The pathogenetic expertise acquired from understanding of general pathology provides veterinary pathologists with a profound background, which is essential in translating transcriptomic data into meaningful biological knowledge, thereby leading to a better understanding of underlying disease mechanisms. The scientific literature concerning high-throughput data-mining techniques usually addresses mathematicians or computer scientists as the target audience. In contrast, the present review provides the reader with a clear and systematic basis from a veterinary pathologist's perspective. Therefore, the aims are (1) to introduce the reader to the necessary methodological background; (2) to introduce the sequential steps commonly performed in a microarray analysis including quality control, annotation, normalization, selection of differentially expressed genes, clustering, gene ontology and pathway analysis, analysis of manually selected genes, and biomarker discovery; and (3) to provide references to publically available and user-friendly software suites. In summary, the data analysis methods presented within this review will enable veterinary pathologists to analyze high-throughput transcriptome data obtained from their own experiments, supplemental data that accompany scientific publications, or public repositories in order to obtain a more in-depth insight into underlying disease mechanisms.

A comparison of LMC and SDL complexity measures on binomial distributions

NASA Astrophysics Data System (ADS)

Piqueira, José Roberto C.

2016-02-01

The concept of complexity has been widely discussed in the last forty years, with a lot of thinking contributions coming from all areas of the human knowledge, including Philosophy, Linguistics, History, Biology, Physics, Chemistry and many others, with mathematicians trying to give a rigorous view of it. In this sense, thermodynamics meets information theory and, by using the entropy definition, López-Ruiz, Mancini and Calbet proposed a definition for complexity that is referred as LMC measure. Shiner, Davison and Landsberg, by slightly changing the LMC definition, proposed the SDL measure and the both, LMC and SDL, are satisfactory to measure complexity for a lot of problems. Here, SDL and LMC measures are applied to the case of a binomial probability distribution, trying to clarify how the length of the data set implies complexity and how the success probability of the repeated trials determines how complex the whole set is.

The invention of atmosphere.

PubMed

Martin, Craig

2015-08-01

The word "atmosphere" was a neologism Willebrord Snellius created for his Latin translation of Simon Stevin's cosmographical writings. Astronomers and mathematical practitioners, such as Snellius and Christoph Scheiner, applying the techniques of Ibn Mu'ādh and Witelo, were the first to use the term in their calculations of the height of vapors that cause twilight. Their understandings of the atmosphere diverged from Aristotelian divisions of the aerial region. From the early years of the seventeenth century, the term was often associated with atomism or corpuscular matter theory. The concept of the atmosphere changed dramatically with the advent of pneumatic experiments in the middle of the seventeenth century. Pierre Gassendi, Walter Charleton, and Robert Boyle transformed the atmosphere of the mathematicians giving it the characteristics of weight, specific gravity, and fluidity, while disputes about its extent and border remained unresolved. Copyright © 2015 Elsevier Ltd. All rights reserved.

Mechanoregulation of molecular motors in flagella

NASA Astrophysics Data System (ADS)

Gadelha, Hermes

2014-11-01

Molecular motors are nano-biological machines responsible for exerting forces that drive movement in living organisms, from cargo transport to cell division and motility. Interestingly, despite the inherent complexity of many interacting motors, order and structure may arise naturally, as exemplified by the harmonic, self-organized undulatory motion of the flagellum. The real mechanisms behind this collective spontaneous oscillation are still unknown, and it is challenging task to measure experimentally the molecular motor dynamics within the flagellar structure in real time. In this talk we will explore different competing hypotheses that are capable of generating flagellar bending waves that ``resemble'' in-vitro observations, emphasizing the need for further mathematical analysis and model validation. It also highlight that this is a fertile and challenging area of inter-disciplinary research for applied mathematicians and demonstrates the importance of future observational and theoretical studies in understanding the underlying mechanics of these motile cell appendages.

Regularization of the double period method for experimental data processing

NASA Astrophysics Data System (ADS)

Belov, A. A.; Kalitkin, N. N.

2017-11-01

In physical and technical applications, an important task is to process experimental curves measured with large errors. Such problems are solved by applying regularization methods, in which success depends on the mathematician's intuition. We propose an approximation based on the double period method developed for smooth nonperiodic functions. Tikhonov's stabilizer with a squared second derivative is used for regularization. As a result, the spurious oscillations are suppressed and the shape of an experimental curve is accurately represented. This approach offers a universal strategy for solving a broad class of problems. The method is illustrated by approximating cross sections of nuclear reactions important for controlled thermonuclear fusion. Tables recommended as reference data are obtained. These results are used to calculate the reaction rates, which are approximated in a way convenient for gasdynamic codes. These approximations are superior to previously known formulas in the covered temperature range and accuracy.

On the definition of the time evolution operator for time-independent Hamiltonians in non-relativistic quantum mechanics

NASA Astrophysics Data System (ADS)

Amaku, Marcos; Coutinho, Francisco A. B.; Masafumi Toyama, F.

2017-09-01

The usual definition of the time evolution operator e-i H t /ℏ=∑n=0∞1/n ! (-i/ℏHt ) n , where H is the Hamiltonian of the system, as given in almost every book on quantum mechanics, causes problems in some situations. The operators that appear in quantum mechanics are either bounded or unbounded. Unbounded operators are not defined for all the vectors (wave functions) of the Hilbert space of the system; when applied to some states, they give a non-normalizable state. Therefore, if H is an unbounded operator, the definition in terms of the power series expansion does not make sense because it may diverge or result in a non-normalizable wave function. In this article, we explain why this is so and suggest, as an alternative, another definition used by mathematicians.

Bridging different perspectives of the physiological and mathematical disciplines.

PubMed

Batzel, Jerry Joseph; Hinghofer-Szalkay, Helmut; Kappel, Franz; Schneditz, Daniel; Kenner, Thomas; Goswami, Nandu

2012-12-01

The goal of this report is to discuss educational approaches for bridging the different perspectives of the physiological and mathematical disciplines. These approaches can enhance the learning experience for physiology, medical, and mathematics students and simultaneously act to stimulate mathematical/physiological/clinical interdisciplinary research. While physiology education incorporates mathematics, via equations and formulas, it does not typically provide a foundation for interdisciplinary research linking mathematics and physiology. Here, we provide insights and ideas derived from interdisciplinary seminars involving mathematicians and physiologists that have been conducted over the last decade. The approaches described here can be used as templates for giving physiology and medical students insights into how sophisticated tools from mathematics can be applied and how the disciplines of mathematics and physiology can be integrated in research, thereby fostering a foundation for interdisciplinary collaboration. These templates are equally applicable to linking mathematical methods with other life and health sciences in the educational process.

The challenge of computer mathematics.

PubMed

Barendregt, Henk; Wiedijk, Freek

2005-10-15

Progress in the foundations of mathematics has made it possible to formulate all thinkable mathematical concepts, algorithms and proofs in one language and in an impeccable way. This is not in spite of, but partially based on the famous results of Gödel and Turing. In this way statements are about mathematical objects and algorithms, proofs show the correctness of statements and computations, and computations are dealing with objects and proofs. Interactive computer systems for a full integration of defining, computing and proving are based on this. The human defines concepts, constructs algorithms and provides proofs, while the machine checks that the definitions are well formed and the proofs and computations are correct. Results formalized so far demonstrate the feasibility of this 'computer mathematics'. Also there are very good applications. The challenge is to make the systems more mathematician-friendly, by building libraries and tools. The eventual goal is to help humans to learn, develop, communicate, referee and apply mathematics.

Scientists at Work. Final Report.

ERIC Educational Resources Information Center

Education Turnkey Systems, Inc., Falls Church, VA.

This report summarizes activities related to the development, field testing, evaluation, and marketing of the "Scientists at Work" program which combines computer assisted instruction with database tools to aid cognitively impaired middle and early high school children in learning and applying thinking skills to science. The brief report reviews…

An Informal History of Formal Proofs: From Vigor to Rigor?

ERIC Educational Resources Information Center

Galda, Klaus

1981-01-01

The history of formal mathematical proofs is sketched out, starting with the Greeks. Included in this document is a chronological guide to mathematics and the world, highlighting major events in the world and important mathematicians in corresponding times. (MP)

Collaborative Understanding of Cyanobacteria in Lake Ecosystems

ERIC Educational Resources Information Center

Greer, Meredith L.; Ewing, Holly A.; Cottingham, Kathryn L.; Weathers, Kathleen C.

2013-01-01

We describe a collaboration between mathematicians and ecologists studying the cyanobacterium "Gloeotrichia echinulata" and its possible role in eutrophication of New England lakes. The mathematics includes compartmental modeling, differential equations, difference equations, and testing models against high-frequency data. The ecology…

Potpourri.

ERIC Educational Resources Information Center

Orlans, Harold

1997-01-01

Offers notes and anecdotes concerning an article on the "New York Times Book Review," marginally useful research, Denis Diderot and politics, peer review of journal articles, loss of valuable literary criticism manuscripts, social sciences education, great mathematician Paul Erdos, quality of political judgment, and creation education.…

Mexican Americans: Labeling and Mislabeling.

ERIC Educational Resources Information Center

Lampe, Philip E.

Although the study of self-selected ethnic labels may aid scientists in their understanding of an ethnic group, the uncoordinated use of ethnic labels applied by social scientists and others can result in confusion and misinformation. A literature review yields a plethora of terms used to refer to Mexican Americans. Terms currently popular are…

Assessing quality of citizen scientists’ soil texture estimates to evaluate land potential

USDA-ARS?s Scientific Manuscript database

Texture influences nearly all soil processes and is often the most measured parameter in soil science. Estimating soil texture is a universal and fundamental practice applied by resource scientists to classify and understand the behavior and management of soil systems. While trained soil scientist c...

Intra-professional dynamics in translational health research: the perspective of social scientists.

PubMed

Currie, Graeme; El Enany, Nellie; Lockett, Andy

2014-08-01

In contrast to previous studies, which focus upon the professional dynamics of translational health research between clinician scientists and social scientists (inter-professional contestation), we focus upon contestation within social science (intra-professional contestation). Drawing on the empirical context of Collaborations for Leadership in Applied Health Research and Care (CLAHRCs) in England, we highlight that although social scientists accept subordination to clinician scientists, health services researchers attempt to enhance their position in translational health research vis-à-vis organisation scientists, whom they perceive as relative newcomers to the research domain. Health services researchers do so through privileging the practical impact of their research, compared to organisation scientists' orientation towards development of theory, which health services researchers argue is decoupled from any concern with healthcare improvement. The concern of health services researchers lies with maintaining existing patterns of resource allocation to support their research endeavours, working alongside clinician scientists, in translational health research. The response of organisation scientists is one that might be considered ambivalent, since, unlike health services researchers, they do not rely upon a close relationship with clinician scientists to carry out research, or more generally, garner resource. Copyright © 2014 Elsevier Ltd. All rights reserved.

Science is innate!

DOE PAGES

Gilbert, Jack A.

2014-10-02

I am a professional scientist. What does that mean? I think it is safe to say it means that, to the best of my ability, I apply the scientist method to test hypotheses and gain a clearer understanding of the world around me. Furthermore, I am also a human being, and so when I am asked, as I often am, about how my research findings have influenced my day-to-day activities, I like to take a step back and think about what it means to be a scientist.

The Adam and Eve Robot Scientists for the Automated Discovery of Scientific Knowledge

NASA Astrophysics Data System (ADS)

King, Ross

A Robot Scientist is a physically implemented robotic system that applies techniques from artificial intelligence to execute cycles of automated scientific experimentation. A Robot Scientist can automatically execute cycles of hypothesis formation, selection of efficient experiments to discriminate between hypotheses, execution of experiments using laboratory automation equipment, and analysis of results. The motivation for developing Robot Scientists is to better understand science, and to make scientific research more efficient. The Robot Scientist `Adam' was the first machine to autonomously discover scientific knowledge: both form and experimentally confirm novel hypotheses. Adam worked in the domain of yeast functional genomics. The Robot Scientist `Eve' was originally developed to automate early-stage drug development, with specific application to neglected tropical disease such as malaria, African sleeping sickness, etc. We are now adapting Eve to work with on cancer. We are also teaching Eve to autonomously extract information from the scientific literature.

Supporting Assessment in Undergraduate Mathematics

ERIC Educational Resources Information Center

Steen, Lynn Arthur, Ed.

2006-01-01

This publication contains 29 case studies offering lessons learned during a four year NSF-supported MAA project designed to support mathematicians and mathematics departments in the increasingly important challenge of assessing student learning. Three introductory essays set assessment in broader academic and national contexts; an appendix…

Designing Opportunities to Learn Mathematics Theory-Building Practices

ERIC Educational Resources Information Center

Bass, Hyman

2017-01-01

Mathematicians commonly distinguish two modes of work in the discipline: "Problem solving," and "theory building." Mathematics education offers many opportunities to learn problem solving. This paper explores the possibility, and value, of designing instructional activities that provide supported opportunities for students to…

Rainforest Mathematics

ERIC Educational Resources Information Center

Kilpatrick, Jeremy

2014-01-01

This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…

Learning at the Boundaries

ERIC Educational Resources Information Center

Goos, Merrilyn

2015-01-01

This paper reports on a project that aims to foster interdisciplinary collaboration between mathematicians and mathematics educators in pre-service teacher education. The project involves 23 investigators from six universities. Interviews were conducted with selected project participants to identify conditions that enable or hinder collaboration,…

Augustus De Morgan behind the Scenes

ERIC Educational Resources Information Center

Simmons, Charlotte

2011-01-01

Augustus De Morgan's support was crucial to the achievements of the four mathematicians whose work is considered greater than his own. This article explores the contributions he made to mathematics from behind the scenes by supporting the work of Hamilton, Boole, Gompertz, and Ramchundra.

What Are You Assuming?

ERIC Educational Resources Information Center

Kennedy, Nadia Stoyanova

2012-01-01

Students are often encouraged to work on problems "like mathematicians"--to be persistent, to investigate different approaches, and to evaluate solutions. This behavior, regarded as problem solving, is an essential component of mathematical practice. Some crucial aspects of problem solving include defining and interpreting problems, working with…

Bowditch, Nathaniel (1773-1838)

NASA Astrophysics Data System (ADS)

Murdin, P.

2000-11-01

Insurance actuary, astronomer, mathematician, born in Salem, MA. Self-taught, by age 15 he had compiled an astronomical almanac. Based on practical experience at sea, he wrote the New American Practical Navigator; published papers on comets and meteors, and translated PIERRE LAPLACE's Mécanique Céleste....

Scientist-Centered Workflow Abstractions via Generic Actors, Workflow Templates, and Context-Awareness for Groundwater Modeling and Analysis

DOE Office of Scientific and Technical Information (OSTI.GOV)

Chin, George; Sivaramakrishnan, Chandrika; Critchlow, Terence J.

2011-07-04

A drawback of existing scientific workflow systems is the lack of support to domain scientists in designing and executing their own scientific workflows. Many domain scientists avoid developing and using workflows because the basic objects of workflows are too low-level and high-level tools and mechanisms to aid in workflow construction and use are largely unavailable. In our research, we are prototyping higher-level abstractions and tools to better support scientists in their workflow activities. Specifically, we are developing generic actors that provide abstract interfaces to specific functionality, workflow templates that encapsulate workflow and data patterns that can be reused and adaptedmore » by scientists, and context-awareness mechanisms to gather contextual information from the workflow environment on behalf of the scientist. To evaluate these scientist-centered abstractions on real problems, we apply them to construct and execute scientific workflows in the specific domain area of groundwater modeling and analysis.« less

In the heat of the moment: Effectively engaging scientists and diverging science in hazard events.

NASA Astrophysics Data System (ADS)

Brosnan, D. M.

2015-12-01

Scientists are increasingly called upon to use their expertise to help minimize disasters stemming from natural and human induced hazards ranging from volcanoes, earthquakes and tsunamis to oil-spills. Decision-makers want scientists who collect and analyze data to be able to predict the likelihood and severity of a hazard occurrence. When there is an event, they look to scientists to find ways to ameliorate the consequences. Science cannot predict with the accuracy sought by scientists and scientists themselves are rarely aware of the cascading consequences that they are being asked to minimize. Importantly too, scientists differ in their interpretation of data and uncertainties. While these differences are the spark of science they are often the bane of disaster decisions. This presentation addresses the applicatoin of science in the midst of hazard crises. Using examples from several global disasters it explores how different techniques to deal with scientific uncertainties and diverging conclusions among scientists has been more or less successful. The presentation addresses methods and opportunities exist for effectively applying science during hazard events.

Brain Research: The Necessity for Separating Sites, Actions and Functions.

ERIC Educational Resources Information Center

Meeker, Mary

Educators, as applied scientists, must work in partnership with investigative scientists who are researching brain functions in order to reach a better understanding of gifted students and students who are intelligent but do not learn. Improper understanding of brain functions can cause gross errors in educational placement. Until recently, the…

Enhancing scientist-manager relationships to foster ecosystem resilience

Treesearch

Melanie M. Colavito

2015-01-01

This extended abstract describes the preliminary results of a study that sought to determine the most effective ways to develop and apply scientific information about resilience for on-the-ground management. Interviews were conducted with scientists, managers, and other stakeholders in the Southwest U.S. following a workshop on ecosystem resilience held in Tucson,...

Research in adaptive management: working relations and the research process.

Treesearch

Amanda C. Graham; Linda E. Kruger

2002-01-01

This report analyzes how a small group of Forest Service scientists participating in efforts to implement adaptive management approach working relations, and how they understand and apply the research process. Nine scientists completed a questionnaire to assess their preferred mode of thinking (the Herrmann Brain Dominance Instrument), engaged in a facilitated...

Physician as Scientist: Preparation, Performance, and Prospects

ERIC Educational Resources Information Center

Castle, William B.

1976-01-01

Greatly modifying the present medical curriculum for the future physician-scientist is not recommended. The value of his having a PhD is questioned and the importance of his working in a hospital-based clinical department is stressed. The author contends that emphasizing the interrelationship between basic and applied research will increase public…

Multiple Scales in Fluid Dynamics and Meteorology: The DFG Priority Programme 1276 MetStröm

NASA Astrophysics Data System (ADS)

von Larcher, Th; Klein, R.

2012-04-01

Geophysical fluid motions are characterized by a very wide range of length and time scales, and by a rich collection of varying physical phenomena. The mathematical description of these motions reflects this multitude of scales and mechanisms in that it involves strong non-linearities and various scale-dependent singular limit regimes. Considerable progress has been made in recent years in the mathematical modelling and numerical simulation of such flows in detailed process studies, numerical weather forecasting, and climate research. One task of outstanding importance in this context has been and will remain for the foreseeable future the subgrid scale parameterization of the net effects of non-resolved processes that take place on spacio-temporal scales not resolvable even by the largest most recent supercomputers. Since the advent of numerical weather forecasting some 60 years ago, one simple but efficient means to achieve improved forecasting skills has been increased spacio-temporal resolution. This seems quite consistent with the concept of convergence of numerical methods in Applied Mathematics and Computational Fluid Dynamics (CFD) at a first glance. Yet, the very notion of increased resolution in atmosphere-ocean science is very different from the one used in Applied Mathematics: For the mathematician, increased resolution provides the benefit of getting closer to the ideal of a converged solution of some given partial differential equations. On the other hand, the atmosphere-ocean scientist would naturally refine the computational grid and adjust his mathematical model, such that it better represents the relevant physical processes that occur at smaller scales. This conceptual contradiction remains largely irrelevant as long as geophysical flow models operate with fixed computational grids and time steps and with subgrid scale parameterizations being optimized accordingly. The picture changes fundamentally when modern techniques from CFD involving spacio-temporal grid adaptivity get invoked in order to further improve the net efficiency in exploiting the given computational resources. In the setting of geophysical flow simulation one must then employ subgrid scale parameterizations that dynamically adapt to the changing grid sizes and time steps, implement ways to judiciously control and steer the newly available flexibility of resolution, and invent novel ways of quantifying the remaining errors. The DFG priority program MetStröm covers the expertise of Meteorology, Fluid Dynamics, and Applied Mathematics to develop model- as well as grid-adaptive numerical simulation concepts in multidisciplinary projects. The goal of this priority programme is to provide simulation models which combine scale-dependent (mathematical) descriptions of key physical processes with adaptive flow discretization schemes. Deterministic continuous approaches and discrete and/or stochastic closures and their possible interplay are taken into consideration. Research focuses on the theory and methodology of multiscale meteorological-fluid mechanics modelling. Accompanying reference experiments support model validation.

Female Mathematicians as Role Models for All Students

ERIC Educational Resources Information Center

Wiest, Lynda R.

2009-01-01

Girls' and women's dispositions, performance, and participation in mathematics have received significant attention in recent decades. Nevertheless, females still perform below males on the mathematics portion of standardized tests, such as the Scholastic Assessment Test (SAT) (Institute of Education Sciences), and they attain fewer mathematics…

Mathematical Heroes--No Longer Unsung

ERIC Educational Resources Information Center

Chin, Cynthia E.

2007-01-01

The history of Fermat's Last Theorem, recounted in the theatrical piece "Fermat's Last Tango," is a useful vehicle for introducing students to the variety of personalities, processes, and products involved in advanced mathematical investigation. The musical's accessible, informative, and positive portrayal of mathematicians and their work is…

Inspired by Escher.

ERIC Educational Resources Information Center

Wales, Andrew

1998-01-01

Uses the biography and work of M. C. Escher to introduce a unit on art history. Tells about Escher's influence not only on artists, but also on mathematicians and physicists. Outlines a student project in which students employed one of these themes: impossible geometry, rotating symmetry, or geometry. (DSK)

NCTM Student Math Notes.

ERIC Educational Resources Information Center

Maletsky, Evan, Ed.; Yunker, Lee E., Ed.

1986-01-01

Five sets of activities for students are included in this document. Each is designed for use in junior high and secondary school mathematics instruction. The first Note concerns mathematics on postage stamps. Historical procedures and mathematicians, metric conversion, geometric ideas, and formulas are among the topics considered. Successful…

Collaborative Learning through Formative Peer Review with Technology

ERIC Educational Resources Information Center

Eaton, Carrie Diaz; Wade, Stephanie

2014-01-01

This paper describes a collaboration between a mathematician and a compositionist who developed a sequence of collaborative writing assignments for calculus. This sequence of developmentally appropriate assignments presents peer review as a collaborative process that promotes reflection, deepens understanding, and improves exposition. First, we…

Looking at Debit and Credit Card Fraud

ERIC Educational Resources Information Center

Porkess, Roger; Mason, Stephen

2012-01-01

This article, written jointly by a mathematician and a barrister, looks at some of the statistical issues raised by court cases based on fraud involving chip and PIN cards. It provides examples and insights that statistics teachers should find helpful. (Contains 4 tables and 1 figure.)

The Helen of Geometry

ERIC Educational Resources Information Center

Martin, John

2010-01-01

The cycloid has been called the Helen of Geometry, not only because of its beautiful properties but also because of the quarrels it provoked between famous mathematicians of the 17th century. This article surveys the history of the cycloid and its importance in the development of the calculus.

Hydrologic Engineering Center: A Quarter Century 1964-1989

DTIC Science & Technology

1989-01-01

consisted of an engineering tech- nician, a mathematician, four hydraulic engineers and a clerk- steno . During the last 25 years, staff members have...McPherson Jack Dangermond John Lager Don Hey Clarence Korhonen Harry Schwarz James Wright John J. Buckley Mike Savage Nicholas Lally Ralph

Nurturing Young Student Mathematicians

ERIC Educational Resources Information Center

Gavin, M. Katherine; Casa, Tutita M.

2013-01-01

Developing mathematical talent in our students should be of primary consideration in education today as nations respond to the challenges of economic crises and ever-changing technological advances. This paper describes two U.S. federally funded curriculum projects, Project M[superscript 3], Mentoring Mathematical Minds, and Project M[superscript…

Math in Riley's World

ERIC Educational Resources Information Center

Kritzer, Karen L.

2011-01-01

In their overview for the prekindergarten-grade 2 Standards, the National Council for Teachers of Mathematics (NCTM) documents the value of early mathematical environments. During these early years, young children are building beliefs about what mathematics is and learning about themselves as early mathematicians. What young children learn about…

The motion behind the symbols: a vital role for dynamism in the conceptualization of limits and continuity in expert mathematics.

PubMed

Marghetis, Tyler; Núñez, Rafael

2013-04-01

The canonical history of mathematics suggests that the late 19th-century "arithmetization" of calculus marked a shift away from spatial-dynamic intuitions, grounding concepts in static, rigorous definitions. Instead, we argue that mathematicians, both historically and currently, rely on dynamic conceptualizations of mathematical concepts like continuity, limits, and functions. In this article, we present two studies of the role of dynamic conceptual systems in expert proof. The first is an analysis of co-speech gesture produced by mathematics graduate students while proving a theorem, which reveals a reliance on dynamic conceptual resources. The second is a cognitive-historical case study of an incident in 19th-century mathematics that suggests a functional role for such dynamism in the reasoning of the renowned mathematician Augustin Cauchy. Taken together, these two studies indicate that essential concepts in calculus that have been defined entirely in abstract, static terms are nevertheless conceptualized dynamically, in both contemporary and historical practice. Copyright © 2013 Cognitive Science Society, Inc.

On the mathematical treatment of the Born-Oppenheimer approximation

DOE Office of Scientific and Technical Information (OSTI.GOV)

Jecko, Thierry, E-mail: thierry.jecko@u-cergy.fr

2014-05-15

Motivated by the paper by Sutcliffe and Woolley [“On the quantum theory of molecules,” J. Chem. Phys. 137, 22A544 (2012)], we present the main ideas used by mathematicians to show the accuracy of the Born-Oppenheimer approximation for molecules. Based on mathematical works on this approximation for molecular bound states, in scattering theory, in resonance theory, and for short time evolution, we give an overview of some rigorous results obtained up to now. We also point out the main difficulties mathematicians are trying to overcome and speculate on further developments. The mathematical approach does not fit exactly to the common usemore » of the approximation in Physics and Chemistry. We criticize the latter and comment on the differences, contributing in this way to the discussion on the Born-Oppenheimer approximation initiated by Sutcliffe and Woolley. The paper neither contains mathematical statements nor proofs. Instead, we try to make accessible mathematically rigourous results on the subject to researchers in Quantum Chemistry or Physics.« less

Mathematics and Physics: The Idea of a Pre-Established Harmony

NASA Astrophysics Data System (ADS)

Kragh, Helge

2015-07-01

For more than a century the notion of a pre-established harmony between the mathematical and physical sciences has played an important role not only in the rhetoric of mathematicians and theoretical physicists, but also as a doctrine guiding much of their research. Strongly mathematized branches of physics, such as the vortex theory of atoms popular in Victorian Britain, were not unknown in the nineteenth century, but it was only in the environment of fin-de-siècle Germany that the idea of a pre-established harmony really took off and became part of the mathematicians' ideology. Important historical figures were in this respect David Hilbert, Hermann Minkowski and, somewhat later, Albert Einstein. Roughly similar ideas can be found also among British theorists, among whom Arthur Eddington, Arthur Milne, and Paul Dirac are singled out. Although largely limited to the period 1870-1940, the paper also considers Max Tegmark's recent hypothesis of the universe (or multiverse) being a one-to-one reflection of mathematical structures.

The impeccable credentials of an untrained philosopher: Willem Jacob 's Gravesande's career before his Leiden professorship, 1688–1717

PubMed Central

van Besouw, Jip

2016-01-01

The mathematician, physicist and philosopher W. J. 's Gravesande is particularly known for his adherence to ‘Newtonian philosophy’. Currently, it is widely held that 's Gravesande got his main inspiration for his scholarly calling from Newton himself, whom he met in 1715 during a first career as a lawyer; and that it was mainly Newton's own intervention that ensured the appointment of the unqualified 's Gravesande at Leiden University. I challenge these views by bringing together all currently known information about 's Gravesande, including a number of as yet unused documents. I show that 's Gravesande's appointment resulted from a very carefully built up reputation in scholarly circles rather than from accidental meetings and patronage. 's Gravesande had written several innovative papers and was in contact with both leading mathematicians and local political and patrician figures already before 1715. This article therefore explains the rationale behind his appointment in Leiden.

Structure theorems and the dynamics of nitrogen catabolite repression in yeast

PubMed Central

Boczko, Erik M.; Cooper, Terrance G.; Gedeon, Tomas; Mischaikow, Konstantin; Murdock, Deborah G.; Pratap, Siddharth; Wells, K. Sam

2005-01-01

By using current biological understanding, a conceptually simple, but mathematically complex, model is proposed for the dynamics of the gene circuit responsible for regulating nitrogen catabolite repression (NCR) in yeast. A variety of mathematical “structure” theorems are described that allow one to determine the asymptotic dynamics of complicated systems under very weak hypotheses. It is shown that these theorems apply to several subcircuits of the full NCR circuit, most importantly to the URE2–GLN3 subcircuit that is independent of the other constituents but governs the switching behavior of the full NCR circuit under changes in nitrogen source. Under hypotheses that are fully consistent with biological data, it is proven that the dynamics of this subcircuit is simple periodic behavior in synchrony with the cell cycle. Although the current mathematical structure theorems do not apply to the full NCR circuit, extensive simulations suggest that the dynamics is constrained in much the same way as that of the URE2–GLN3 subcircuit. This finding leads to the proposal that mathematicians study genetic circuits to find new geometries for which structure theorems may exist. PMID:15814615

Designing an intuitive web application for drug discovery scientists.

PubMed

Karamanis, Nikiforos; Pignatelli, Miguel; Carvalho-Silva, Denise; Rowland, Francis; Cham, Jennifer A; Dunham, Ian

2018-06-01

We discuss how we designed the Open Targets Platform (www.targetvalidation.org), an intuitive application for bench scientists working in early drug discovery. To meet the needs of our users, we applied lean user experience (UX) design methods: we started engaging with users very early and carried out research, design and evaluation activities within an iterative development process. We also emphasize the collaborative nature of applying lean UX design, which we believe is a foundation for success in this and many other scientific projects. Copyright © 2018 The Authors. Published by Elsevier Ltd.. All rights reserved.

The Application of NASA Technology to Public Health

NASA Technical Reports Server (NTRS)

Rickman, Douglas L.; Watts, C.

2007-01-01

NASA scientists have a history of applying technologies created to handle satellite data to human health at various spatial scales. Scientists are now engaged in multiple public health application projects that integrate NASA satellite data with measures of public health. Such integration requires overcoming disparities between the environmental and the health data. Ground based sensors, satellite imagery, model outputs and other environmental sources have inconsistent spatial and temporal distributions. The MSFC team has recognized the approach used by environmental scientists to fill in the empty places can also be applied to outcomes, exposures and similar data. A revisit to the classic epidemiology study of 1854 using modern day surface modeling and GIS technology, demonstrates how spatial technology can enhance and change the future of environmental epidemiology. Thus, NASA brings to public health, not just a set of data, but an innovative way of thinking about the data.

Women in Science Fellowships

NASA Astrophysics Data System (ADS)

Wendel, JoAnna

2014-04-01

The L'Oréal For Women in Science program is calling for women postdoctoral scientists to submit applications for the L'Oréal USA Women in Science Fellowship. Five women scientists in a variety of fields, including life and physical/material sciences, technology, engineering, and mathematics, will receive grants of up to $60,000 each. Since the program began in 1998, more than 2000 women scientists worldwide have been awarded fellowships. Application materials are available at https://lorealfwis.aaas.org/login/indexA.cfm; the deadline to apply is 19 May 2014.

Meeting the challenge of policy-relevant science: lessons from a water resource project

USGS Publications Warehouse

Lamb, Berton L.

1986-01-01

Water resource scientists face complex tasks in evaluating aspects of water projects, but relatively few assessment procedures have been applied and accepted as standard applications. Decision-makers often rely on environmental assessments to evaluate the value and operation of projects. There is often confusion about scientists' role in policy decisions. The scientist can affect policy-making as an expert withess, an advocate or a surrogate. By understanding the policy process, scientists can make their work more “policy relevant.” Using the Terror Lake hydro project in Alaska as a guide, three lessons are discussed: (1) not all problems are able to be solved with technology; (2) policy-relevant technology is rarely imposed on a problem; and (3) the scientist need not just react to the policy process, but can have an impact on how that process unfolds.

Using Large Marine Ecosystems and Cultural Responsiveness as the Context for Professional Development of Teachers and Scientists in Ocean Sciences

ERIC Educational Resources Information Center

Sigman, Marilyn; Dublin, Robin; Anderson, Andrea; Deans, Nora; Warburton, Janet; Matsumoto, George I.; Dugan, Darcy; Harcharek, Jana

2014-01-01

During 2010-2012, three professional development workshops brought together K-12 educators and scientists conducting research in the geographic and ecological context of Alaska's three large marine ecosystems (Bering Sea/Aleutians, Gulf of Alaska, and Arctic Ocean). Educators successfully applied new scientific knowledge gained from their…

Mathematical Visualization

ERIC Educational Resources Information Center

Rogness, Jonathan

2011-01-01

Advances in computer graphics have provided mathematicians with the ability to create stunning visualizations, both to gain insight and to help demonstrate the beauty of mathematics to others. As educators these tools can be particularly important as we search for ways to work with students raised with constant visual stimulation, from video games…

Virtual Environments for Mathematics and Geometry Education

ERIC Educational Resources Information Center

Kaufmann, Hannes

2009-01-01

Since ancient times mathematicians and geometricians have used visualisations to describe, discuss, study and teach mathematics. In mathematics education, visualisations are still used whenever possible to support teaching, to inspire students and feed their need to actually see abstract mathematical facts. In our times, virtual reality presents a…

Intellectual Discussion in Mathematics.

ERIC Educational Resources Information Center

Cavaluzzi, Christina

In an attempt to unearth the characteristic communication practices of mathematical seminars, the perceptions and beliefs about them held by regular attendees, and the normative ideals about communication in the mathematics community, this paper considers how communication in math is an integral part of how mathematicians do their work. Responding…

Characteristics of Second Graders' Mathematical Writing

ERIC Educational Resources Information Center

Cohen, Jeremy A.; Casa, Tutita M.; Miller, Heather C.; Firmender, Janine M.

2015-01-01

This study compared the characteristics of second graders' mathematical writing between an intervention and comparison group. Two six-week Project M2 units were implemented with students in the intervention group. The units position students to communicate in ways similar to mathematicians, including engaging in verbal discourse where they…

Laboratory Mathematics

ERIC Educational Resources Information Center

de Mestre, Neville

2004-01-01

Computers were invented to help mathematicians perform long and complicated calculations more efficiently. By the time that a computing area became a familiar space in primary and secondary schools, the initial motivation for computer use had been submerged in the many other functions that modern computers now accomplish. Not only the mathematics…

Collegiate Mathematics Teaching: An Unexamined Practice

ERIC Educational Resources Information Center

Speer, Natasha M.; Smith, John P., III; Horvath, Aladar

2010-01-01

Though written accounts of collegiate mathematics teaching exist (e.g., mathematicians' reflections and analyses of learning and teaching in innovative courses), research on collegiate teachers' actual classroom teaching practice is virtually non-existent. We advance this claim based on a thorough review of peer-reviewed journals where scholarship…

The Stable Pairing Problem

ERIC Educational Resources Information Center

Greenwell, Raymond N.; Seabold, Daniel E.

2014-01-01

The Gale-Shapley stable marriage theorem is a fascinating piece of twentieth-century mathematics that has many practical applications--from labor markets to school admissions--yet is accessible to secondary school mathematics students. David Gale and Lloyd Shapley were both mathematicians and economists who published their work on the Stable…

The Mathematics of Starry Nights

ERIC Educational Resources Information Center

Barman, Farshad

2008-01-01

The mathematics for finding and plotting the locations of stars and constellations are available in many books on astronomy, but the steps involve mystifying and fragmented equations, calculations, and terminology. This paper will introduce an entirely new unified and cohesive technique that is easy to understand by mathematicians, and simple…

Proof Mapping

ERIC Educational Resources Information Center

Linares, Leanne A.; Smith, Phil R.

2009-01-01

A geometry textbook or mathematics journal that prints all the work that mathematicians use as they generate proofs of mathematical results would be rare indeed. The false starts, the tentative conjectures, and the arguments that led nowhere--these are conveniently omitted; only the final successful product is presented to the world. To students…

Math Corps Summer Camp: An Inner City Intervention Program.

ERIC Educational Resources Information Center

Edwards, Thomas; Kahn, Steven; Brenton, Lawrence

2001-01-01

Describes a mathematics-focused summer camp for inner city, African American, at-risk secondary school students. Situated on a college campus, the camp grouped participants with college students and professional mathematicians. Results of pre- and posttests indicated that students' mathematics scores increased significantly. Both participants and…

Using proteomics to study sexual reproduction in angiosperms

USDA-ARS?s Scientific Manuscript database

While a relative latecomer to the post-genomics era of functional biology, the application of mass spectrometry-based proteomic analysis has increased exponentially over the past 10 years. Some of this increase is the result of transition of chemists physicists, and mathematicians to the study of ...

Laterality for music perception in musicians, mathematicians, and dancers: jumping to conclusions.

PubMed

Gordon, H W

1993-06-01

Group differences for ear asymmetries for a melodies task were reported for talented music, mathematics, and dance students. Evidence is presented that it is premature to conclude that these group differences were the result of specialized training in their areas of expertise.

An Urban Collaborative in Critical Perspective.

ERIC Educational Resources Information Center

Bruckerhoff, Charles E.; Popkewitz, Thomas S.

1991-01-01

Discusses the rationale behind the Cleveland Collaborative for Mathematics Education, which networks urban high school math teachers with college math professors and mathematicians in business. Describes a typical teaching day for one high school teacher and how environmental challenges such as family abuse, student absenteeism, and lack of…

Studies in Mathematics, Volume 22. Studies in Computer Science.

ERIC Educational Resources Information Center

Pollack, Seymour V., Ed.

The nine articles in this collection were selected because they represent concerns central to computer science, emphasize topics of particular interest to mathematicians, and underscore the wide range of areas deeply and continually affected by computer science. The contents consist of: "Introduction" (S. V. Pollack), "The…

Nanoscience Research Internships in Illinois

DOE Office of Scientific and Technical Information (OSTI.GOV)

Kronshage, Alisa

2013-08-31

NanoBusiness Talent Project Summary Report The NanoBusiness Alliance created the NanoBusiness Talent Program to ensure the future vitality of domestic scientists and entrepreneurs by engaging advanced high school students in cutting-edge nanotechnology development. This program commenced on September 1, 2008 and ran through August 31, 2010 with a very successful group of students. Several of these students went on to Stanford, Harvard and Yale, as well as many other prestigious Universities. We were able to procure the cooperation of several companies over the entire run of the program to voluntarily intern students at their companies and show them the possibilitiesmore » that exist for their future. Companies ranged from NanoInk and Nanosphere to QuesTek and NanoIntegris all located in northern Illinois. During the 9-week internships, students worked at nanotechnology companies studying different ways in which nanotechnology is used for both commercial and consumer use. The students were both excited and invigorated at the prospect of being able to work with professional scientists in fields that previously may have just been a dream or an unreachable goal. All the students worked closely with mentors from each company to learn different aspects of procedures and scientific projects that they then used to present to faculty, parents, mentors and directors of the program at the end of each year’s program. The presentations were extremely well received and professionally created. We were able to see how much the students learned and absorbed through the course of their internships. During the last year of the program, we reached out to both North Carolina and Colorado high school students and received an extraordinary amount of applications. There were also numerous companies that were not only willing but excited at the prospect to engage highly intelligent high school students and to encourage them into the nanotechnology scientific field. Again, this program increase was highly received and the students were thoroughly engaged. Our program ended August 31, 2010 with our last class of students and their final presentations. From the pilot year to the end presentations, we received hundreds of applications from students excited for the opportunity to work in a scientific field. With our goal of inspiring the newest generation of potential scientists and mathematician, we not only found ourselves overwhelmingly impressed but encouraged that the greatest minds of the future will come from this next generation and many more generations.« less

Educator Exploration of Authentic Environmental Issues of the Coastal Margin Through Information Technology

NASA Astrophysics Data System (ADS)

Herbert, B. E.; Schielack, J. F.

2004-12-01

Teachers immersed in authentic science inquiry in professional development programs, with the goal of transferring the nature of scientific research to the classroom, face two enormous problems: (1) issues surrounding the required knowledgebase, skills set, and habits of mind of the teachers that control, to a large degree, the ability of teachers to immerse themselves in authentic scientific research in the available time, and (2) the difficulties in transferring this experience to the classroom. Most professional development programs utilize one of two design models, the first limits the authenticity of the scientific experience while placing more emphasis on pedagogical issues, and second where teachers are immersed in scientific research, often through mentoring programs with scientists, but with less explicit attention to problems of transfer to the classroom. The ITS Center for Teaching and Learning (its.tamu.edu), a five-year NSF-funded collaborative program that engages scientists, educational researchers, and educators in the use of information technology to improve science teaching and learning at all levels, has developed a model that supports teachers' learning about authentic scientific research, pedagogical training in inquiry-based learning, and educational research in their own classrooms on the impacts of using information technology to promote authentic science experiences for their students. This connection is achieved through scaffolding by information technology that supports the modeling, visualization and exploration of complex data sets to explore authentic scientific questions that can be integrated within the 7-16 curriculum. Our professional development model constitutes a Learning Research Cycle, which is characterized as a seamless continuum of inquiry activities and prolonged engagement in a learning community of educators, scientists, and mathematicians centered on the development of teachers' pedagogical content knowledge as it relates to the use of information technology in doing, learning, and teaching science. This talk will explore the design changes of the geoscience team of the ITS as it moved from Phase I (the planned program designed in-house) to Phase II (the experimental program being tested in-house) over two, two-year cohorts. We have assessed the impact of our Learning Research Cycle model on ITS participants using both a mixed model assessment of learning products, surveys, interviews, and teacher inquiry projects. Assessment results indicate that teachers involved in the second cohort improved their understanding of geoscience and inquiry-based learning, while improving their ability to establish authentic inquiry in their classrooms through the use of information technology and to assess student learning.

Discourse: Simple Moves that Work

ERIC Educational Resources Information Center

Rawding, Molly Rothermel; Wills, Theresa

2012-01-01

Just as students need plenty of time to practice skills such as solving fraction problems, they also need time to practice the skills of discourse to become better communicators and stronger mathematicians. Embedded within discourse strategies are specific ways to maximize communication. When repeatedly practiced, students learn to listen to one…

Challenging Perspectives on Learning and Teaching in the Disciplines: The Academic Voice

ERIC Educational Resources Information Center

Krause, Kerri-Lee D.

2014-01-01

This article reports on a study of academic staff perspectives on disciplinary communities and skill development in disciplinary contexts. Fifty-five academic staff were interviewed across eight disciplines in four Australian universities. Responses of historians and mathematicians are the focus of this article. A socio-constructivist framework…

The Menu for Every Young Mathematician's Appetite

ERIC Educational Resources Information Center

Legnard, Danielle S.; Austin, Susan L.

2012-01-01

Math Workshop offers differentiated instruction to foster a deep understanding of rich, rigorous mathematics that is attainable by all learners. The inquiry-based model provides a menu of multilevel math tasks, within the daily math block, that focus on similar mathematical content. Math Workshop promotes a culture of engagement and…

Minority Mathematicians: Who Is Responsible?

ERIC Educational Resources Information Center

Johnson, Raymond

2000-01-01

This report is comprised of a section of three talks in the special session on Mathematics and Education Reform at the January, 2000 Joint Mathematics Meeting in Washington, DC. This issue, which includes three articles based on the presentations and two additional articles, continues discussion on issues and successful approaches to improve the…

Conditional Inference and Advanced Mathematical Study: Further Evidence

ERIC Educational Resources Information Center

Inglis, Matthew; Simpson, Adrian

2009-01-01

In this paper, we examine the support given for the "theory of formal discipline" by Inglis and Simpson (Educational Studies Mathematics 67:187-204, "2008"). This theory, which is widely accepted by mathematicians and curriculum bodies, suggests that the study of advanced mathematics develops general thinking skills and, in particular, conditional…

Computer-Based Self-Instructional Modules. Final Technical Report.

ERIC Educational Resources Information Center

Weinstock, Harold

Reported is a project involving seven chemists, six mathematicians, and six physicists in the production of computer-based, self-study modules for use in introductory college courses in chemistry, physics, and mathematics. These modules were designed to be used by students and instructors with little or no computer backgrounds, in institutions…

Talking Maths

ERIC Educational Resources Information Center

Murray, Jenny

2006-01-01

Discussion in maths lessons has always been something encouraged by ATM but can be difficult to initiate for non-specialist and inexperienced teachers who may feel they need material in books to get them going. In this article, the author describes resources aimed at encouraging discussion among primary mathematicians. These resources include: (1)…

High School Mathematics at Work: Essays and Examples for the Education of All Students.

ERIC Educational Resources Information Center

National Academy of Sciences - National Research Council, Washington, DC. Mathematical Sciences Education Board.

Traditionally, vocational mathematics and precollege mathematics have been separate in schools. This book illuminates the interplay between technical and academic mathematics. This collection of essays by mathematicians, educators, and other experts is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to…

Kindergarteners' Achievement on Geometry and Measurement Units That Incorporate a Gifted Education Approach

ERIC Educational Resources Information Center

Casa, Tutita M.; Firmender, Janine M.; Gavin, M. Katherine; Carroll, Susan R.

2017-01-01

This research responds to the call by early childhood educators advocating for more challenging mathematics curriculum at the primary level. The kindergarten Project M[superscript 2] units focus on challenging geometry and measurement concepts by positioning students as practicing mathematicians. The research reported herein highlights the…

Introducing Summer Camp Students to Modern Cryptography

ERIC Educational Resources Information Center

Griffiths, Barry J.

2015-01-01

For countries to remain competitive in the global economy, it is important to cultivate the next generation of native mathematicians. However, this goal has been increasingly challenging in the United States where, despite the tremendous increase in university enrollment during recent decades, the number of students studying mathematics has…

Soft Drinks, Mind Reading, and Number Theory

ERIC Educational Resources Information Center

Schultz, Kyle T.

2009-01-01

Proof is a central component of mathematicians' work, used for verification, explanation, discovery, and communication. Unfortunately, high school students' experiences with proof are often limited to verifying mathematical statements or relationships that are already known to be true. As a result, students often fail to grasp the true nature of…

Graphs and Zero-Divisors

ERIC Educational Resources Information Center

Axtell, M.; Stickles, J.

2010-01-01

The last ten years have seen an explosion of research in the zero-divisor graphs of commutative rings--by professional mathematicians "and" undergraduates. The objective is to find algebraic information within the geometry of these graphs. This topic is approachable by anyone with one or two semesters of abstract algebra. This article gives the…

Multiple Visions of Teachers' Understandings of Mathematics

ERIC Educational Resources Information Center

Kajander, Ann; Mason, Ralph; Taylor, Peter; Doolittle, Edward; Boland, Tom; Jarvis, Dan; Maciejewski, Wes

2010-01-01

In this dialog, the notion of mathematical understanding as might be needed by classroom teachers is critically examined by mathematics educators, mathematicians, and a classroom teacher, based on the outcomes of recent work with expert classroom teachers. Terminology, assumptions and examples are discussed and analysed from a number of points of…

Fibonacci's Forgotten Number Revisited

ERIC Educational Resources Information Center

Maruszewski, Richard

2009-01-01

In 1225 Fibonacci visited the court of the Holy Roman Emperor, Frederick II. Because Frederick was an important patron of learning, this visit was important to Fibonacci. During the audience, Frederick's court mathematician posed three problems to test Fibonacci. The third was to find the real solution to the equation: x[superscript 3] +…

International Teachers' Judgment of Gifted Mathematics Student Characteristics

ERIC Educational Resources Information Center

Ficici, Abdullah; Siegle, Del

2008-01-01

Teachers play a key role in the identification and training of talented mathematicians, and their attitudes are important in improving math instruction for gifted students. We surveyed secondary mathematics teachers from South Korea, Turkey, and the United States. These teachers completed a survey instrument called the Teachers' Judgments of…

Digital Maps, Matrices and Computer Algebra

ERIC Educational Resources Information Center

Knight, D. G.

2005-01-01

The way in which computer algebra systems, such as Maple, have made the study of complex problems accessible to undergraduate mathematicians with modest computational skills is illustrated by some large matrix calculations, which arise from representing the Earth's surface by digital elevation models. Such problems are often considered to lie in…

Word Search Packet: Climbing the Hills of Math Skills. California Demonstration Mathematics Program.

ERIC Educational Resources Information Center

Ontario-Montclair School District, Ontario, CA.

Thirty word-search puzzles on mathematics and mathematicians are presented. The puzzles are used periodically as homework assignments in a self-paced, individualized mathematics program which is designed to improve the achievement of junior high school students. Answers to the puzzles are not included. (DC)

Teaching Pascal's Triangle from a Computer Science Perspective

ERIC Educational Resources Information Center

Skurnick, Ronald

2004-01-01

Pascal's Triangle is named for the seventeenth-century French philosopher and mathematician Blaise Pascal (the same person for whom the computer programming language is named). Students are generally introduced to Pascal's Triangle in an algebra or precalculus class in which the Binomial Theorem is presented. This article, presents a new method…

Audience, Style and Criticism

ERIC Educational Resources Information Center

Pimm, David; Sinclair, Nathalie

2009-01-01

The primary focus for this article involves aspects of professional mathematical writing and examines the possibility of a form of literary criticism in relation to it. By means of examples from contemporary style guides for academic articles in mathematics (AMS, MAA), as well as the writing of mathematicians (Hamilton, Dedekind) from earlier…

Parabolic Mirror: Focusing on Science, Technology, Engineering, and Math

ERIC Educational Resources Information Center

Smith, Karianne; Hughes, William

2013-01-01

In the fall of 2011, Park Forest Middle School (PFMS) students approached the STEM faculty with numerous questions regarding the popular television show Myth Busters, which detailed Greek mathematician, physicist, engineer, and inventor, Archimedes. Two episodes featured attempts to test historical accounts that Archimedes developed a death ray…

Abstract Algebra to Secondary School Algebra: Building Bridges

ERIC Educational Resources Information Center

Christy, Donna; Sparks, Rebecca

2015-01-01

The authors have experience with secondary mathematics teacher candidates struggling to make connections between the theoretical abstract algebra course they take as college students and the algebra they will be teaching in secondary schools. As a mathematician and a mathematics educator, the authors collaborated to create and implement a…

Ocean Spray Lubricates Winds

ERIC Educational Resources Information Center

Journal of College Science Teaching, 2005

2005-01-01

According to a new study by two University of California, Berkeley, mathematicians and their Russian colleague, the water droplets kicked up by rough seas serve to lubricate the swirling winds of hurricanes and cyclones, letting them build to speeds approaching 200 miles per hour. Without the lubricating effect of the spray, the mathematicians…

Educating the Young Mathematician: The Twentieth Century and Beyond

ERIC Educational Resources Information Center

Saracho, Olivia N.; Spodek, Bernard

2009-01-01

Educational programs for young children emerged reasonably early in the history of the United States of America. The movements of Child-Centered Education, the Nursery School, the Project Method, Curriculum Reform, and contemporary research have all influenced mathematics in early childhood education. The Froebelian kindergarten and the Montessori…

Math Exchanges: Guiding Young Mathematicians in Small-Group Meetings

ERIC Educational Resources Information Center

Wedekind, Kassia Omohundro

2011-01-01

Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations…

The Triangles of Aristarchus

ERIC Educational Resources Information Center

Hirshfeld, Alan W.

2004-01-01

Greek philosopher mathematician, Aristarchus of Samos, in the third century B.C., proposed that the sun held in the central position, casting its light symmetrically outward on the other celestial bodies. He demonstrated the way in which a person could use simple observations and elementary geometry to measure on a cosmic scale.

Independent Events in Elementary Probability Theory

ERIC Educational Resources Information Center

Csenki, Attila

2011-01-01

In Probability and Statistics taught to mathematicians as a first introduction or to a non-mathematical audience, joint independence of events is introduced by requiring that the multiplication rule is satisfied. The following statement is usually tacitly assumed to hold (and, at best, intuitively motivated): If the n events E[subscript 1],…

Measurement, Mathematics, and Music.

ERIC Educational Resources Information Center

Blackburn, Katie; White, David

The Greek mathematician, Pythagoras, was among the first to undertake a mathematical study of music. His work, resulted in a scale of notes which can produce beautiful melodies and which is easily reproduced in the elementary classroom. In an age when teachers look for an interdisciplinary connection between various aspects of the curriculum, in a…

Values and Norms of Proof for Mathematicians and Students

ERIC Educational Resources Information Center

Dawkins, Paul Christian; Weber, Keith

2017-01-01

In this theoretical paper, we present a framework for conceptualizing proof in terms of mathematical values, as well as the norms that uphold those values. In particular, proofs adhere to the values of establishing a priori truth, employing decontextualized reasoning, increasing mathematical understanding, and maintaining consistent standards for…

The Changing Landscape of One Primary School's Mathematics Curriculum

ERIC Educational Resources Information Center

Dent, Wendy; McChesney, Jane

2016-01-01

This paper describes a period of substantial changes in the mathematics curriculum of one primary school in Christchurch. Using retrospective analysis, we identified two important conceptual themes: equity of mathematical learning and opportunities for all students to learn to be a mathematician. Access to research about these themes prompted two…

Predicting Student Achievement Using Measures of Teachers' Knowledge for Teaching Geometry

ERIC Educational Resources Information Center

Mohr-Schroeder, Margaret; Ronau, Robert N.; Peters, Susan; Lee, Carl W.; Bush, William S.

2017-01-01

This article describes the development and validation of two forms of the Geometry Assessments for Secondary Teachers (GAST), which were designed to assess teachers' knowledge for teaching geometry. Both forms were developed by teams of mathematicians, mathematics educators, psychometricians, and secondary classroom geometry teachers. Predictive…

Duoethnography: A New Research Methodology for Mathematics Education

ERIC Educational Resources Information Center

Rapke, Tina Kathleen

2014-01-01

I have developed an adaptation of the emerging duoethnography methodology that allows me to draw on my processes of creating mathematics, interpret these processes for what they might mean for classrooms, and explore/reconceptualize my complementary and competing perspectives as a mathematician and an educator. This article includes a…

The Shoemaker's Knife

ERIC Educational Resources Information Center

Thomson, Ian

2010-01-01

Archimedes, the famous Greek mathematician, lived from 287 BCE until approximately 212 BCE. He thought that the figure of two semi-circles on a straight line enclosed by a larger semi-circle resembled a shoemaker's knife. Archimedes called this figure an "arbelos" since arbelos is the Greek word for a shoemaker's knife. The author describes the…

Encouraging Example Generation: A Teaching Experiment in First-Semester Calculus

ERIC Educational Resources Information Center

Wagner, Elaine Rumsey; Orme, Susan Marla; Turner, Heidi Jean; Yopp, David

2017-01-01

Mathematicians use example generation to test and verify mathematical ideas; however, the processes through which undergraduates learn to productively generate examples are not well understood. We engaged calculus students in a teaching experiment designed to develop skills in productively generating examples to learn novel concepts. This article…

Journey into Problem Solving: A Gift from Polya

ERIC Educational Resources Information Center

Lederman, Eric

2009-01-01

In "How to Solve It", accomplished mathematician and skilled communicator George Polya describes a four-step universal solving technique designed to help students develop mathematical problem-solving skills. By providing a glimpse at the grace with which experts solve problems, Polya provides definable methods that are not exclusive to…

Content Area Literacy in the Mathematics Classroom

ERIC Educational Resources Information Center

Armstrong, Abbigail; Ming, Kavin; Helf, Shawnna

2018-01-01

Content area literacy has an important role in helping students understand content in specific disciplines, such as mathematics. Although the strategies are not unique to each individual content area, they are often adapted for use in a specific discipline. For example, mathematicians use mathematical language to make sense of new ideas and…

Challenging Students' Beliefs about Mathematics: The Use of Documentary to Alter Perceptions of Efficacy

ERIC Educational Resources Information Center

Hekimoglu, Serkan; Kittrell, Emily

2010-01-01

This study investigates whether seeing a documentary on how mathematicians do mathematics improves students' math "self-efficacy beliefs." The analysis of students' written reflections and classroom observations suggests that watching the documentary may help students' math anxiety decrease and positive self-efficacy toward learning mathematics…

Mathematical versus English Meaning in Implication and Disjunction

ERIC Educational Resources Information Center

Shipman, Barbara A.

2013-01-01

As mathematicians, we assign rigid meanings to words that may have a variety of interpretations in common language. This article considers meanings of "if" and "or" from everyday English that have caused students to misinterpret mathematical statements, and that are consistently overlooked by instructional materials in addressing students'…

Finding Fifths in Origami

ERIC Educational Resources Information Center

Hsiao, Joy

2015-01-01

Paper folding, or origami in Japanese, is a traditional craft that has been enjoyed by both children and adults for hundreds of years. Mathematicians have long studied the mathematics of paper folding. They use square papers to construct mathematical shapes (for example, folding an equilateral triangle from a square paper or trisecting an angle),…

The Effect of Authority on the Persuasiveness of Mathematical Arguments

ERIC Educational Resources Information Center

Inglis, Matthew; Mejia-Ramos, Juan Pablo

2009-01-01

Three experiments are reported that investigate the extent to which an authority figure influences the level of persuasion undergraduate students and research-active mathematicians invest in mathematical arguments. We demonstrate that, in some situations, both students and researchers rate arguments as being more persuasive when they are…

Euler Teaches a Class in Structural Steel Design

ERIC Educational Resources Information Center

Boyajian, David M.

2009-01-01

Even before steel was a topic of formal study for structural engineers, the brilliant eighteenth century Swiss mathematician and physicist, Leonhard Euler (1707-1783), investigated the theory governing the elastic behaviour of columns, the results of which are incorporated into the American Institute of Steel Construction's (AISC's) Bible: the…

New Languages of Possibility: Early Experiments in Education as Dissent

ERIC Educational Resources Information Center

Walsh, Brendan; Lalor, John

2015-01-01

This paper reviews the work of four early radical educators: the cultural nationalist Rabindranath Tagore (1861-1941), Asia's first Nobel Laureate; Bertrand Russell (1872-1970), Cambridge mathematician and philosopher; the Irish educationalist and insurgent Patrick Pearse (1879-1916) and Leonard Elmhirst (1893-1975), co-founder of Dartington Hall…

Solitary Pain: Bertrand Russell as Cognitive Therapist

ERIC Educational Resources Information Center

Overskeid, Geir

2004-01-01

Bertrand Russell was a prominent philosopher, mathematician, and political activist. It is less well known that Russell suffered from various psychological problems and developed his own method of dealing with them. Continuing a long philosophical tradition, Russell examined how faulty thinking may elicit painful emotions. Though seldom, if ever,…

Proof Construction and Evaluation Practices of Prospective Mathematics Educators

ERIC Educational Resources Information Center

Imamoglu, Yesim; Togrol, Aysenur Yontar

2015-01-01

This study was conducted with 93 freshmen and 82 senior prospective mathematicians and mathematics teachers in order to investigate how they construct and evaluate proofs and whether there are any significant differences in their proof construction (with respect to department and grade) and proof evaluation (with respect to department)…

Cramer's Rule Revisited

ERIC Educational Resources Information Center

Ayoub, Ayoub B.

2005-01-01

In 1750, the Swiss mathematician Gabriel Cramer published a well-written algebra book entitled "Introduction a l'Analyse des Lignes Courbes Algebriques." In the appendix to this book, Cramer gave, without proof, the rule named after him for solving a linear system of equations using determinants (Kosinki, 2001). Since then several derivations of…

The Mathematics of Sundials

ERIC Educational Resources Information Center

Vincent, Jill

2008-01-01

As early as 3500 years ago, shadows of sticks were used as a primitive instrument for indicating the passage of time through the day. The stick came to be called a "gnomon" or "one who knows." Early Babylonian obelisks were designed to determine noon. The development of trigonometry by Greek mathematicians meant that hour lines…

Introduction to this special issue on statistics for wildfire processes

Treesearch

Marcia Gumpertz

2009-01-01

This special issue on statistics for wildfire processes brings together foresters, wildfire ecologists, statisticians, mathematicians, and economists. All of these disciplines bring different interests, approaches and expertise to the modeling of wildfire processes. It is not necessarily easy, however, to communicate across disciplines or follow the developments in a...

The contribution of applied social sciences to obesity stigma-related public health approaches.

PubMed

Bombak, Andrea E

2014-01-01

Obesity is viewed as a major public health concern, and obesity stigma is pervasive. Such marginalization renders obese persons a "special population." Weight bias arises in part due to popular sources' attribution of obesity causation to individual lifestyle factors. This may not accurately reflect the experiences of obese individuals or their perspectives on health and quality of life. A powerful role may exist for applied social scientists, such as anthropologists or sociologists, in exploring the lived and embodied experiences of this largely discredited population. This novel research may aid in public health intervention planning. Through these studies, applied social scientists could help develop a nonstigmatizing, salutogenic approach to public health that accurately reflects the health priorities of all individuals. Such an approach would call upon applied social science's strengths in investigating the mundane, problematizing the "taken for granted" and developing emic (insiders') understandings of marginalized populations.

Reward Systems and NSF University Research Centers: The Impact of Tenure on University Scientists' Valuation of Applied and Commercially Relevant Research

ERIC Educational Resources Information Center

Boardman, P. Craig; Ponomariov, Branco L.

2007-01-01

Over the past three decades, U.S. science policy has shifted from decentralized support of small, investigator-initiated research projects to more centralized, block grant-based, multidisciplinary research centers. No matter one's take on the "revolutionary" nature of this shift, a major consequence is that university scientists, now more than…

JPL-20170811-CASSINf-0001a-A World Unveiled Cassini at TItan

NASA Image and Video Library

2017-08-11

A look at the Cassini-Huygens mission's discoveries at Saturn's moon Titan and a description of how flybys of Titan allowed the mission to change to new orbits repeatedly without wasting fuel. Featuring Linda Spilker, Cassini Project Scientist, JPL; Jonathan Lunine, Cassini Titan Scientist, Cornell University; and Elizabeth "Zibi" Turtle, Cassini Imaging Team, John Hopkins Applied Physics Laboratory.

Two-age silviculture on the Monongahela National Forest - managers and scientists assess 17 years of communication

Treesearch

Gary Miller; James E. Johnson; John E. Baumgras; R. Gary Bustamente

1997-01-01

This report describes the development of two-age silviculture on the Monongahela National Forest and provides an assessment of the practice as it is applied today. Silviculturists at each ranger district provided a chronology of the communication process between managers and scientists that led to current stand treatment prescriptions. In addition, data were collected...

Hamming's "open doors" and group creativity as keys to scientific excellence: the example of Cambridge.

PubMed

Erren, Thomas C

2008-01-01

Dr. Charlton used diverse approaches to identify research institutions which provided home to outstanding scientists and work. One intriguing example of long-lasting scientific excellence is Cambridge with 19 Nobel laureates who worked at the University or at the MRC Molecular Biology Unit when they received the prize between 1947 and 2006. With specific reference to Cambridge, I would like to complement the primarily quantitative assessment and offer considerations as to why and how research achievements may have clustered in space and time. Indeed, observations voiced by the mathematician Richard Hamming as to how great research can be pursued offer explanations for the series of great science in the UK. In my view, the most important determinant of the clustering may be illustrated by Hamming's fitting picture of "open doors": working in environments with the doors open allows constant interactions with peers with various disciplinary backgrounds, and thus fast avoidance of detours or dead ends in science and, ultimately, a focus on and the solution of problems of paramount, rather than of tangential, importance. Narrative insights into a strong argumentative tradition at Cambridge provided by Drs. Watson and Magueijo between 1968 and 2003 are in line with Hamming's suggestion and the value of group creativity. In the internet age with abundant interactions beyond home institutions we should not be surprised if clusters of great science were no longer confined to the usual suspect institutions which were awarded disproportionally with Nobel prizes in the past.

The emergence of modern statistics in agricultural science: analysis of variance, experimental design and the reshaping of research at Rothamsted Experimental Station, 1919-1933.

PubMed

Parolini, Giuditta

2015-01-01

During the twentieth century statistical methods have transformed research in the experimental and social sciences. Qualitative evidence has largely been replaced by quantitative results and the tools of statistical inference have helped foster a new ideal of objectivity in scientific knowledge. The paper will investigate this transformation by considering the genesis of analysis of variance and experimental design, statistical methods nowadays taught in every elementary course of statistics for the experimental and social sciences. These methods were developed by the mathematician and geneticist R. A. Fisher during the 1920s, while he was working at Rothamsted Experimental Station, where agricultural research was in turn reshaped by Fisher's methods. Analysis of variance and experimental design required new practices and instruments in field and laboratory research, and imposed a redistribution of expertise among statisticians, experimental scientists and the farm staff. On the other hand the use of statistical methods in agricultural science called for a systematization of information management and made computing an activity integral to the experimental research done at Rothamsted, permanently integrating the statisticians' tools and expertise into the station research programme. Fisher's statistical methods did not remain confined within agricultural research and by the end of the 1950s they had come to stay in psychology, sociology, education, chemistry, medicine, engineering, economics, quality control, just to mention a few of the disciplines which adopted them.

How Aristotle Discovered DNA

NASA Astrophysics Data System (ADS)

Delbrück, Max

2014-11-01

I am wondering how to address you, Viki, on this tremendous occasion, dedicated to commemorate your approaching "graduation from college". Like many of us here assembled, you will have to think of a career to choose after this "graduation". Perhaps the most appropriate form of address would be the way the young Goethe was instructed to address his grandfather, namely, "Erhabener Grosspapa!" That could be translated "Exalted Granddaddy", but the flavor is not quite the same. I'll start out with some comments on Stan Ulam's talk. He invited us to speak up in the discussion to his talk, but I prefer to do it now when I have the floor to myself, so he can't talk back. There are several of his quotes that I want to comment on. One quote from Fermi on some theory that had been confirmed better than he, Fermi, thought the theory had any business of being that good. To anybody that works in biology and is aware of the fact that our brain evolved to help us get along in the cave, it is utterly miraculous and completely incomprehensible that this brain is capable of doing science at the success rate at which it is doing it. This is an aspect that mathematicians and physicists and most scientists tend to ignore. But it is one that is very much in the minds of those who are trying to understand more deeply the nature of our perceptive and cognitive capabilities from the point of view of biology...

Physicists for Human Rights in the Former Soviet Union

NASA Astrophysics Data System (ADS)

Chernyak, Yuri

2005-03-01

In his 1940 paper `Freedom and Science' Albert Einstein emphasized that ``intellectual independence is a primary necessity for the scientific inquirer'' and that ``political liberty is also extraordinarily important for his work.'' Raised in the tradition of intellectual independence and dedicated to the scientific truth, physicists were among the first to stand up for freedom in the USSR. It was no coincidence that the founders of the first independent Human Rights Committee (1970) were physicists: Andrei Sakharov, Valery Chalidze and Andrei Tverdokhlebov. In 1973 a physicist, Alexander Voronel, founded a Moscow Sunday (refusenik) Seminar -- the first openly independent scientific body in the history of the USSR. In 1976 physicists Andrei Sakharov, Yuri Orlov and a mathematician Natan Sharansky were the leading force in founding the famous Moscow Helsinki Human Rights Watch group. This talk briefly describes the special position of physicists (often viewed as Einstein's colleagues) in Soviet society, as well as their unique role in the struggle for human rights. It describes in some detail the Moscow Sunday Seminar, and extensions thereof such as International Conferences, the Computer School and the Computer Database of Refuseniks. The Soviet government considered such truly independent organizations as a challenge to Soviet authority and tried to destroy them. The Seminar's success and its very existence owed much to the support of Western scientific organizations, who persuaded their members to attend the Seminar and visit scientist-refuseniks. The human rights struggle led by physicists contributed substantially to the demise of the Soviet system.

Meeting the challenge of policy-relevant science: lessons from a water resource project

DOE Office of Scientific and Technical Information (OSTI.GOV)

Lamb, B.L.

Water resources scientists face complex tasks in evaluating aspects of water projects, but relatively few assessment procedures have been applied and accepted as standards applications. Decision-makers often rely on environmental assessments to evaluate the value and operation of projects. There is often confusion about scientists' role in policy decisions. The scientist can affect policy-making as an expert witness, an advocate or a surrogate. By understanding the policy process, scientists can make their work more policy relevant. Using the Terror Lake hydro project in Alaska as a guide, three lessons are discussed: (1) not all problems are able to be solvedmore » with technology; (2) policy-relevant technology is rarely imposed on a problem; and (3) the scientist need not just to react to the policy process, but can have an impact on how that process unfolds.« less

Ancient Wisdom, Applied Knowledge for a Sustainable Future

NASA Astrophysics Data System (ADS)

Peterson, K.; Philippe, R. Elde; Dardar, T. M. Elde

2017-12-01

Ancient wisdom informs traditional knowledges that guide Indigenous communities on how to interact with the world. These knowledges and the ancient wisdom have been the life-giving forces that have prevented the complete genocide of Indigenous peoples, and is also the wisdom that is rejuvenating ancient ways that will take the world into a future that embraces the seventh generation philosophy.. Western scientists and agency representatives are learning from the work and wisdom of Native Americans. This presentation will share the ways in which the representatives of two Tribes along the coast of Louisiana have been helping to educate and apply their work with Western scientists.

Engineering approaches to energy balance and obesity: opportunities for novel collaborations and research: report of a joint national science foundation and national institutes of health workshop.

PubMed

Ershow, Abby G; Ortega, Alfonso; Timothy Baldwin, J; Hill, James O

2007-01-01

Energy balance disorders account for a large public health burden. The obesity epidemic in particular is one of the most rapidly evolving public health problems of our day. At present, two-thirds of American adults and one-sixth of American children and adolescents are considered either overweight or obese. Public health concern about obesity is high because of the increased risk and increased mortality of cardiovascular disease, Type 2 diabetes, many forms of cancer, gallbladder disease, and osteoarthritis. These risks increase with the severity of the obesity. Excess adipose tissue, representing fat storage, ultimately derives from an imbalance between energy intake and energy expenditure. Conversely, undesirable and inadvertent loss of body weight and muscle mass, as seen in aging and cachectic states of chronic diseases such as heart failure and cancer, have serious clinical and functional consequences without satisfactory clinical or behavioral solutions. Innovative engineering technologies could help to address unresolved problems in energy balance, intake, and expenditure. Novel sensors, devices, imaging technologies, nanotechnologies, biomaterials, technologies to detect biochemical markers of energy balance, mathematical modeling, systems biology, and other approaches could be developed, evaluated, and leveraged through multidisciplinary collaborations. Engineers, physical scientists, and mathematicians can work with scientists from other relevant disciplines who possess expertise in obesity and nutrition. Furthermore, the possibility of re-engineering the "built environment" to encourage higher levels of physical activity has been suggested as another promising and important approach to which engineers can contribute (see http://www.obesityresearch.nih.gov). Ultimately, systematic application of the "Engineering Approach" can help in developing the needed technologies and tools to facilitate research and eventually support therapeutic advances and behavioral change. This article summarizes important public health concerns related to disordered energy balance and describes research priorities identified at a recent National Science Foundation-National Institutes of Health workshop. Research funding opportunities are described as posted on the NIH Guide to Grants and Contracts (see http://www.nih.gov/grants/guide).

Engineering Approaches to Energy Balance and Obesity: Opportunities for Novel Collaborations and Research: Report of a Joint National Science Foundation and National Institutes of Health Workshop

PubMed Central

Ershow, Abby G.; Ortega, Alfonso; Timothy Baldwin, J.; Hill, James O.

2007-01-01

Energy balance disorders account for a large public health burden. The obesity epidemic in particular is one of the most rapidly evolving public health problems of our day. At present, two-thirds of American adults and one-sixth of American children and adolescents are considered either overweight or obese. Public health concern about obesity is high because of the increased risk and increased mortality of cardiovascular disease, Type 2 diabetes, many forms of cancer, gallbladder disease, and osteoarthritis. These risks increase with the severity of the obesity. Excess adipose tissue, representing fat storage, ultimately derives from an imbalance between energy intake and energy expenditure. Conversely, undesirable and inadvertent loss of body weight and muscle mass, as seen in aging and cachectic states of chronic diseases such as heart failure and cancer, have serious clinical and functional consequences without satisfactory clinical or behavioral solutions. Innovative engineering technologies could help to address unresolved problems in energy balance, intake, and expenditure. Novel sensors, devices, imaging technologies, nanotechnologies, biomaterials, technologies to detect biochemical markers of energy balance, mathematical modeling, systems biology, and other approaches could be developed, evaluated, and leveraged through multidisciplinary collaborations. Engineers, physical scientists, and mathematicians can work with scientists from other relevant disciplines who possess expertise in obesity and nutrition. Furthermore, the possibility of re-engineering the “built environment” to encourage higher levels of physical activity has been suggested as another promising and important approach to which engineers can contribute (see http://www.obesityresearch.nih.gov). Ultimately, systematic application of the “Engineering Approach” can help in developing the needed technologies and tools to facilitate research and eventually support therapeutic advances and behavioral change. This article summarizes important public health concerns related to disordered energy balance and describes research priorities identified at a recent National Science Foundation-National Institutes of Health workshop. Research funding opportunities are described as posted on the NIH Guide to Grants and Contracts (see http://www.nih.gov/grants/guide). PMID:19888386

The Australian Computational Earth Systems Simulator

NASA Astrophysics Data System (ADS)

Mora, P.; Muhlhaus, H.; Lister, G.; Dyskin, A.; Place, D.; Appelbe, B.; Nimmervoll, N.; Abramson, D.

2001-12-01

Numerical simulation of the physics and dynamics of the entire earth system offers an outstanding opportunity for advancing earth system science and technology but represents a major challenge due to the range of scales and physical processes involved, as well as the magnitude of the software engineering effort required. However, new simulation and computer technologies are bringing this objective within reach. Under a special competitive national funding scheme to establish new Major National Research Facilities (MNRF), the Australian government together with a consortium of Universities and research institutions have funded construction of the Australian Computational Earth Systems Simulator (ACcESS). The Simulator or computational virtual earth will provide the research infrastructure to the Australian earth systems science community required for simulations of dynamical earth processes at scales ranging from microscopic to global. It will consist of thematic supercomputer infrastructure and an earth systems simulation software system. The Simulator models and software will be constructed over a five year period by a multi-disciplinary team of computational scientists, mathematicians, earth scientists, civil engineers and software engineers. The construction team will integrate numerical simulation models (3D discrete elements/lattice solid model, particle-in-cell large deformation finite-element method, stress reconstruction models, multi-scale continuum models etc) with geophysical, geological and tectonic models, through advanced software engineering and visualization technologies. When fully constructed, the Simulator aims to provide the software and hardware infrastructure needed to model solid earth phenomena including global scale dynamics and mineralisation processes, crustal scale processes including plate tectonics, mountain building, interacting fault system dynamics, and micro-scale processes that control the geological, physical and dynamic behaviour of earth systems. ACcESS represents a part of Australia's contribution to the APEC Cooperation for Earthquake Simulation (ACES) international initiative. Together with other national earth systems science initiatives including the Japanese Earth Simulator and US General Earthquake Model projects, ACcESS aims to provide a driver for scientific advancement and technological breakthroughs including: quantum leaps in understanding of earth evolution at global, crustal, regional and microscopic scales; new knowledge of the physics of crustal fault systems required to underpin the grand challenge of earthquake prediction; new understanding and predictive capabilities of geological processes such as tectonics and mineralisation.

Integrating Science in Applied Psychology Programs: A Student-Operated Journal

ERIC Educational Resources Information Center

Antonius, Daniel; Brown, Adam D.; Todman, McWelling; Safran, Jeremy D.

2007-01-01

As a requirement of APA accreditation, many PhD programs in applied psychology subscribe to some variant of the scientist-practitioner model. However, critics have argued that integrating science into an applied psychology curriculum may be too challenging a task. This article describes the development of The New School Psychology Bulletin, a…

Using magnetic charge to understand soft-magnetic materials

NASA Astrophysics Data System (ADS)

Arrott, Anthony S.; Templeton, Terry L.

2018-04-01

This is an overview of what the Landau-Lifshitz-Gilbert equations are doing in soft-magnetic materials with dimensions large compared to the exchange length. The surface magnetic charges try to cancel applied magnetic fields inside the soft magnetic material. The exchange energy tries to reach a minimum while meeting the boundary conditions set by the magnetic charges by using magnetization patterns that have a curl but no divergence. It can almost do this, but it still pays to add some divergence to further lower the exchange energy. There are then both positively and negatively charged regions in the bulk. The unlike charges attract one another, but do not annihilate because they are paid for by the reduction in exchange energy. The micromagnetics of soft magnetic materials is about how those charges rearrange themselves. The topology of magnetic charge distributions presents challenges for mathematicians. No one guessed that they like to form helical patterns of extended multiples of charge density.

Mathematics of Web science: structure, dynamics and incentives.

PubMed

Chayes, Jennifer

2013-03-28

Dr Chayes' talk described how, to a discrete mathematician, 'all the world's a graph, and all the people and domains merely vertices'. A graph is represented as a set of vertices V and a set of edges E, so that, for instance, in the World Wide Web, V is the set of pages and E the directed hyperlinks; in a social network, V is the people and E the set of relationships; and in the autonomous system Internet, V is the set of autonomous systems (such as AOL, Yahoo! and MSN) and E the set of connections. This means that mathematics can be used to study the Web (and other large graphs in the online world) in the following way: first, we can model online networks as large finite graphs; second, we can sample pieces of these graphs; third, we can understand and then control processes on these graphs; and fourth, we can develop algorithms for these graphs and apply them to improve the online experience.

Fractal Geometry in the Arts: AN Overview across the Different Cultures

NASA Astrophysics Data System (ADS)

Sala, Nicoletta

Fractal, in mathematics, is a geometric shape that is complex and detailed in structure at any level of magnification. The word "fractal" was coined less than thirty years ago by one of history's most creative and mathematicians, Benoit Mandelbrot, whose work, The Fractal Geometry of Nature, first introduced and explained concepts underlying this new vision of the geometry. Although other mathematical thinkers like Georg Cantor (1845-1918), Felix Hausdorff (1868-1942), Gaston Julia (1893-1978), Helge von Koch (1870-1924), Giuseppe Peano (1858-1932), Lewis Richardson (1891-1953), Waclaw Sierpinski (1882-1969) and others had attained isolated insights of fractal understanding, such ideas were largely ignored until Mandelbrot's genius forged them at a single blow into a gorgeously coherent and fascinating discipline. Fractal geometry is applied in different field now: engineering, physics, chemistry, biology, and architecture. The aim of this paper is to introduce an approach where the arts are analysed using a fractal point of view.

How Much Did Maine's Molocket and Metallak Know about Rapid Climate Change? Did They Utilize Psychological Strategies and Cover Stories to Conceal Their Impact Communities, Observational Sites and Data Collection?

NASA Astrophysics Data System (ADS)

Bates, Tiffany R.; Mc Leod, Roger D.; Mc Leod, David M.

2003-10-01

The Pequakets Molocket (adherent of God La[ngued]oc Christ Cathar Spirit-signal) and Metallak operated in NH and the western border area of ME, during the early 1800s. Molocket requested shelter in South Paris, ME during a powerful thunderstorm. Denied access, she cursed that area. Our interests have led us to recognize that there may be psychological reasons that deception is good strategic procedure for concealing valuable activities associated with impact power groups striving to protect their operating turf. Many sites associated with tradition-respecting Native Americans are quite electromagnetically responsive to climate change. Metallak (mathematician-applied astronomer God Spirit-signal) is purported to have driven off his son over purloined furs; that elder son then operated among the MiKmaw/Micmacs of ME and the Canadian Maritimes. They are purported to make the weather. Information protection and surreptitious data collection may indicate an impact groups concealed interests.

The Pulley: A Parable of Effort and Reward

NASA Astrophysics Data System (ADS)

Gluck, Paul

2012-11-01

The Alwood machine and various problems involving pulleys are sta(p)le diets of students when applying Newton's second law of motion. Interest in such problems can be increased and discussion enlivened by couching them in forms that have in them elements of suspense (sic!) or competition. Two didactic papers have suggested versions in this vein.1,2 Here we should like to present a discussion that contrasts models and theoretical constructs with a reallife situation. A mathematician N and a physicist P having identical masses m sit at the same height at the ends of a rope passing over a pulley, as in Fig. 1(a). They decide on a race to climb up the rope, the first one to reach the pulley wins. Which one of them will be the winner? Is it prudent to work hard, or does the indolent get there first by mere force of thought? The following qualitative discussion could be of interest when introducing the class to the Atwood machine.

Master's Students' Perceptions of Microsoft Word for Mathematical Typesetting

ERIC Educational Resources Information Center

Loch, Birgit; Lowe, Tim W.; Mestel, Ben D.

2015-01-01

It is widely recognized that mathematical typesetting is more difficult than typesetting in most other disciplines due to the need for specialized mathematical notation and symbols. While most mathematicians type mathematical documents using LaTeX, with varying levels of proficiency, students often use other options or handwrite mathematics. Here,…

History of Binary and Other Nondecimal Numeration.

ERIC Educational Resources Information Center

Glaser, Anton

This study traces the development of nondecimal numeration from the 16th century to the present. The first six chapters detail the contributions of mathematicians as well as people from other fields. Applications to computers are covered in one chapter, while another chapter discusses the coverage of numeration systems in college textbooks for…

Pi Division and Addition

ERIC Educational Resources Information Center

Scott, Paul

2008-01-01

The number Pi (approximately 3.14159) is defined to be the ratio C/d of the circumference (C) to the diameter (d) of any given circle. In particular, Pi measures the circumference of a circle of diameter d = 1. Historically, the Greek mathematician Archimedes found good approximations for Pi by inscribing and circumscribing many-sided polygons…

Educators' Expectations and Aspirations around Young Children's Mathematical Knowledge

ERIC Educational Resources Information Center

Perry, Bob; MacDonald, Amy

2015-01-01

Let's Count is a mathematics professional learning programme for preschool educators in Australia, managed by a prominent non-government organisation and sponsored by industry. It has been implemented in both face-to-face and online modes over 2013/14. Let's Count is based on the constructs that all young children are powerful mathematicians and…

A Description of a Family of Heron Quadrilaterals

ERIC Educational Resources Information Center

Sastry, K. R. S.

2005-01-01

Mathematical historians place Heron in the first century. Right-angled triangles with integer sides and area had been determined before Heron, but he discovered such a "non" right-angled triangle, viz 13, 14, 15; 84. In view of this, triangles with integer sides and area are named "Heron triangles." The Indian mathematician Brahmagupta, born in…

The Mathematics of High School Physics: Models, Symbols, Algorithmic Operations and Meaning

ERIC Educational Resources Information Center

Kanderakis, Nikos

2016-01-01

In the seventeenth and eighteenth centuries, mathematicians and physical philosophers managed to study, via mathematics, various physical systems of the sublunar world through idealized and simplified models of these systems, constructed with the help of geometry. By analyzing these models, they were able to formulate new concepts, laws and…

Castelli, Benedetto (1578-1643)

NASA Astrophysics Data System (ADS)

Murdin, P.

2000-11-01

Mathematician, born in Brescia, Italy, Benedictine monk, professor at Padua. GALILEO's closest scientific collaborator, he defended, and edited Galileo, he helped his sunspot research, inventing the method of projection so as to view safely the Sun's image with a telescope. His book on hydraulics, Della Misura dell'Acque Correnti, or On the Measurement of Running Waters, founded modern hydrodynam...

An Evaluation of Student Team Teaching in Sophomore Physics Classes. Final Report.

ERIC Educational Resources Information Center

Thrasher, Paul H.

In the present document the effectiveness of a student team teaching technique is evaluated in comparison with the lecture method. The team teaching technique, previously used for upper division and graduate physics courses, was, for this study, used in a sophomore physics, electricity and magnetism course for engineers, mathematicians, chemists,…

A Combinatorics Course with One Goal: Authentic Mathematical Inquiry

ERIC Educational Resources Information Center

Storm, Christopher

2017-01-01

This article shares an example of a course in Combinatorics, taught at Adelphi University in Fall 2012, designed with a primary goal of engaging students in pursuing mathematics as mathematicians do. The course went beyond usual applications of inquiry-based learning in that students were also charged with the responsibility of posing the…

Learning to Teach--Gill's Story

ERIC Educational Resources Information Center

Hatch, Gill; Rowland, Tim

2006-01-01

Gill Hatch was a very fine mathematician. Indeed, following her undergraduate studies in Cambridge in the late 1950s, she was one of the elite who went on to the notoriously difficult Part III of the Mathematical Tripos. In this article, the author describes the autobiographical accounts of Hatch during her teaching career in teacher education, as…

Thinking in Patterns to Solve Multiplication, Division, and Fraction Problems in Second Grade

ERIC Educational Resources Information Center

Stokes, Patricia D.

2016-01-01

Experts think in patterns and structures using the specific "language" of their domains. For mathematicians, these patterns and structures are represented by numbers, symbols and their relationships (Stokes, 2014a). To determine whether elementary students in the United States could learn to think in mathematical patterns to solve…

Typology of Perfectionism in a Group of Mathematically Gifted Czech Adolescents over One Decade

ERIC Educational Resources Information Center

Portešová, Šárka; Urbánek, Tomáš

2013-01-01

This study assessed differences in Parker's typology of perfectionism (healthy perfectionist, unhealthy perfectionist, and nonperfectionist). We compared the results from previous research with follow-up 2005 and 2010 data collected from highly gifted Czech mathematicians aged 12 to 16 years. The study examined whether the same three…