NASA Technical Reports Server (NTRS)
Eckert, E R G; Diaguila, A J
1955-01-01
Report presents the results of an investigation conducted to study free-convection heat transfer in a stationary vertical tube closed at the bottom. The walls of the tube were heated, and heated air in the tube was continuously replaced by fresh cool air at the top. The tube was designed to provide a gravitational field with Grashof numbers of a magnitude comparable with those generated by the centrifugal field in rotating-blade coolant passages (10(8) to 10(13)). Local heat-transfer coefficients in the turbulent-flow range and the temperature field within the fluid were obtained.
Natural-convection heat transfer from a finite vertical plate at low Grashof numbers
Yamasaki, Kakuji; Nagahashi, Yusumi )
1993-02-01
Numerical computations and experiments have been carried out to study the natural-convection heat-transfer characteristics along a vertical finite-length heated plate of uniform temperature. Numerical results have been obtained for the Grashof number range of 0.1 to 10[sup 5] and for a Prandtl number of 0.71. Average heat-transfer coefficients have been measured over the Grashof number range of 50 to 10[sup 6]. The numerical results are in good agreement with the experimental results. The fluid rises along the plate and it turns near the upper end of the plate because of being cooled in the cold surrounding fluid in the upper space. As a consequence, a fluid circulation forms beside the plate. The local heat-transfer coefficient is large at both the lower and upper ends of the plate and maintains an almost constant value in the middle portion. The correlations obtained from the numerical and experimental results are presented as follows: Nu = 2.03 Gr[sup 0.0221] (0.1 [le] Gr [le] 4), Nu = 1.63 Gr[sup 0.178] (4 [le] Gr [le] 10[sup 6]).
NASA Astrophysics Data System (ADS)
Ooi, Seng-Keat
2005-11-01
Lock-exchange gravity current flows produced by the instantaneous release of a heavy fluid are investigated using 3-D well resolved Large Eddy Simulation simulations at Grashof numbers up to 8*10^9. It is found the 3-D simulations correctly predict a constant front velocity over the initial slumping phase and a front speed decrease proportional to t-1/3 (the time t is measured from the release) over the inviscid phase, in agreement with theory. The evolution of the current in the simulations is found to be similar to that observed experimentally by Hacker et al. (1996). The effect of the dynamic LES model on the solutions is discussed. The energy budget of the current is discussed and the contribution of the turbulent dissipation to the total dissipation is analyzed. The limitations of less expensive 2D simulations are discussed; in particular their failure to correctly predict the spatio-temporal distributions of the bed shear stresses which is important in determining the amount of sediment the gravity current can entrain in the case in advances of a loose bed.
NASA Technical Reports Server (NTRS)
Eckert, E R G; Diaguila, A J
1952-01-01
Local free-convection heat-transfer coefficients and temperature fields in the turbulent flow range were obtained within a vertical, stationary tube closed at the boom, heated along its walls, and having a length-to-diameter ratio of 5. Convective heat-transfer coefficients were correlated by the general relations for free-convection heat transfer. These coefficients, converted to dimensionless Nusselt numbers were 35 percent below known relations for vertical flat plates. Air temperature measurements within the tube indicated a thin boundary layer along the heated wall surface and unstable conditions in the air flow.
Joosik Yoo; Jun Young Choi; Moonuhn Kim (Korea Advanced Inst. of Science and Technology, Taejon (Korea, Republic of). Dept. of Mechanical Engineering)
1994-01-01
Two-dimensional natural convection of a fluid of low Prandtl number (Pr = 0.02) in an annulus between two concentric horizontal cylinders is numerically investigated in a wide range of gap widths. For low Grashof numbers, a steady unicellular convection is obtained. Above a transition Grashof number that depends on the gap width, a steady bicellular flow occurs. With further increase of the Grashof number, steady or time-periodic multicellular convection occurs, and finally, complex unsteady convective flow appears. A plot is presented that predicts the type of flow patterns for various combination of gap widths and Grashof numbers.
Joo-Sik Yoo; Jun Young Choi; Moon-Uhn Kim
1994-01-01
Two-dimensional natural convection of a fluid of low Prandtl number (Pr = 0.02) in an annulus between two concentric horizontal cylinders is numerically investigated in a wide range of gap widths. For low Grashof numbers, a steady unicellular convection is obtained. Above a transition Grashof number that depends on the gap width, a steady bicellular flow occurs. With further increase
NSDL National Science Digital Library
2013-06-14
The purpose of this video tutorial is to review a couple ways in which we think about numbers. Thinking in terms of street numbers, money in bank accounts, and quantum particles (e.g. Bose-Einstein condensate) is contrasted with focusing on associating numbers with distinguishable manipulatives, as is more familiar in K-8 courses. This video concludes with a reminder that the symbol "infinity" is not, itself, a number.
NSDL National Science Digital Library
Jo Edkins
2006-01-01
This engaging web site contains information and interactive applets related to various number systems: Egyptian, Babylonian, Chinese, Greek, Roman, Mayan, and Arabic. Users learn the history and structure of each system as well as how to count and write numbers. The site also allows users to explore finger systems, calculating machines, other number bases, and "interesting numbers." A series of pages on data and graphs includes information and activities on gathering, analyzing, graphing and sorting data. (Because the section on the Arabic number system is so extensive, it is cataloged separately as a related resource.)
Buoyant convection of low Prandtl number melts in horizontal boat configuration
NASA Astrophysics Data System (ADS)
Kuhl, R.; Wilke, H.
Results of experimental investigations and numerical simulations of buoyant convection in metal and semiconductor melt layers with an applied horizontal temperature gradient are presented. Stability diagrams characterize the transition from steady to unsteady convection in terms of Grashof number, aspect ratio and Prandtl number. Periodic temperature oscillations of the melt are analysed and the oscillatory convection mechanism is discussed by numerical results. In order to grow striation-free crystals by means of the horizontal Bridgman method, the necessary conditions can be concluded by the results obtained.
NSDL National Science Digital Library
M. Fisher
2007-12-04
Let\\'s have some fun working on our math facts and putting numbers together to get new ones! Try out these games and see how you do-- First try to defeat this spaceship with your math fact skills: Spacey Math: A drill game where students are given a set of math facts to answer (can select addition, subtraction, multiplication, division). If you defeat the spaceship you can move on to helping save the poodles. They have to weigh in and they need to find out what numbers need to go on the other side of the scale to balance ...
NSDL National Science Digital Library
Dan Bunker
2010-01-01
Students can use this interactive Flash applet to practice ordering whole numbers within 20. The applet displays a track and number tiles, which the user drags to create the correct sequence of numbers 1 through 20. Users may choose from four levels: place 5 missing numbers, place 10 numbers, arrange all 20 numbers, or create your own challenge.
NSDL National Science Digital Library
2008-01-01
Hacker has given you a challenge. He’ll run his number machine to create a number. Then you’ll get three numbers between one and nine. The challenge is to make a number that is larger than the one on Hacker’s machine. Be careful though--Hacker will give you numbers that can’t be bigger than his!
Enhanced enstrophy generation for turbulent convection in low-Prandtl-number fluids.
Schumacher, Jörg; Götzfried, Paul; Scheel, Janet D
2015-08-01
Turbulent convection is often present in liquids with a kinematic viscosity much smaller than the diffusivity of the temperature. Here we reveal why these convection flows obey a much stronger level of fluid turbulence than those in which kinematic viscosity and thermal diffusivity are the same; i.e., the Prandtl number [Formula: see text] is unity. We compare turbulent convection in air at [Formula: see text] and in liquid mercury at [Formula: see text]. In this comparison the Prandtl number at constant Grashof number [Formula: see text] is varied, rather than at constant Rayleigh number [Formula: see text] as usually done. Our simulations demonstrate that the turbulent Kolmogorov-like cascade is extended both at the large- and small-scale ends with decreasing [Formula: see text]. The kinetic energy injection into the flow takes place over the whole cascade range. In contrast to convection in air, the kinetic energy injection rate is particularly enhanced for liquid mercury for all scales larger than the characteristic width of thermal plumes. As a consequence, mean values and fluctuations of the local strain rates are increased, which in turn results in significantly enhanced enstrophy production by vortex stretching. The normalized distributions of enstrophy production in the bulk and the ratio of the principal strain rates are found to agree for both [Formula: see text]. Despite the different energy injection mechanisms, the principal strain rates also agree with those in homogeneous isotropic turbulence conducted at the same Reynolds numbers as for the convection flows. Our results have thus interesting implications for small-scale turbulence modeling of liquid metal convection in astrophysical and technological applications. PMID:26195793
NSDL National Science Digital Library
This problem provides an opportunity for children to explore and visualize number patterns and sequences and to reinforce key number concepts and vocabulary such as odd and even, factors and multiples. Students cut consecutive number tracks into equal length pieces in several ways and investigate the patterns that emerge among the sums of the tracks. The Teachers' Notes page explains number tracks and offers suggestions for implementation, discussion questions, a printable sheet of number tracks (pdf), and ideas for extension and support.
NSDL National Science Digital Library
2013-12-04
In this online math game from Cyberchase, learners play against Hacker in a place value game. The goal is to make a number bigger than the one created by Hacker's number machine. Learners select the numbers in the order in which they want them to go into their machine. The challenge is to either make a number larger than the one on Hacker's machine or realize that it's impossible to make a number bigger than Hacker's, no matter what the combination.
NSDL National Science Digital Library
2010-04-01
This is a short study guide from the University of Maryland's Physics Education Research Group on introducing, interpreting, and using complex numbers. Mathematical equations are included to help students understand the nature of complex numbers.
NSDL National Science Digital Library
2011-10-13
This Science NetLinks interactive game helps students increase their logic and decision making skills by challenging a player to consider a series of mathematical processes to find a path from a starting number to a goal number in a math maze. The activity appears as a 5x5 matrix of numbers, each of which has an operation symbol next to it, indicating whether it will be added to, subtracted from, or multiplied by the previous number. Starting in the center with a given number, players choose an adjoining number to complete the next step and they proceed until successfully reaching the goal number or until they have run out of usable numbers on the game board. To add an additional challenge to the game, a player can limit each level to reaching the target in seven or fewer steps.
ERIC Educational Resources Information Center
Herrera, Terese A.
2004-01-01
This article features Number Time, a site developed by the British Broadcasting Corporation (BBC) for young mathematics learners, located at www.bbc.co.uk/schools/numbertime. The site uses interactive animation to help children in pre-K through grade 2 understand and practice number basics. Users will find online games, videos that tell number…
NSDL National Science Digital Library
Michiel Doorman
2012-01-07
This interactive Java applet promotes number sense, estimation, and provides practice with order of operations. The player's goal is to make a numerical expression using the four given numbers and the four basic operations with the result being the target number (or as close as they can get to it). The student can also use brackets in their calculation.
ERIC Educational Resources Information Center
Rich, Andrew
2008-01-01
The leftist number system consists of numbers with decimal digits arranged in strings to the left, instead of to the right. This system fails to be a field only because it contains zerodivisors. The same construction with prime base yields the p-adic numbers.
NSDL National Science Digital Library
Dan Bunker
2005-01-01
This open-ended interactive Flash applet helps students develop operation and number sense, facility with number facts, and understanding of equations. Users designate single-digit whole numbers or integers and operations on both sides of an equation and test for balance. Users can enter numbers by using the keyboard or arrow buttons or by dragging number tiles. Each element can be hidden and a seesaw may be toggled on/off. Teachers may use this applet to lead instruction, or students may use it independently to perform specific investigations or explore freely. Supplementary documents include Objectives, containing teaching suggestions, and a student recording sheet.
NSDL National Science Digital Library
Mrs. Black
2007-10-03
Students will practice counting to 100 and making numbers with base ten blocks Let\\'s have some fun with math! First, practice counting to 100. Listen to the instructions on this website. Count to 100 Now that you have worked on counting to 100, let\\'s make some numbers! Use the base ten blocks to make the numbers shown on the screen! Base Ten Blocks Great work! The next ...
NSDL National Science Digital Library
Mrs. Pierce
2010-11-16
The objective of this lesson is to gain a better understanding of complex numbers and their graphs Situation: The Swiss Mathemation, Jean Robert Argand developed a means to graphically represent complex numbers. This led to solving problems related to altenating electrical current, which provides current day luxuries. Could you do the same? Current Knowledge: Use your knowledge of complex number and the coordinate system and with your partner, ...
well ordering to prove the principle of mathematical induction. Theorem 1.2. ... For example the Fibonacci numbers are given by the sequence. 1, 1, 2, 3, 5, 8 ... The pattern is that each number in the sequence is the sum of the previous two.
... tooth on the lower right would be T. Palmer Notation Method Adults In this system, the mouth ... the upper right quadrant. Children In children, the Palmer Notation System uses uppercase letters instead of numbers. ...
NSDL National Science Digital Library
2012-08-27
In this brief article the numerous uses of the number line are detailed: counting, measurement, addition, subtraction, decimals, and fractions. The article contains visual representations of the some of the concepts and links to related topics.
NSDL National Science Digital Library
1999-01-01
This interactive applet contains four puzzles which develop fluency with addition facts and foster logical reasoning. Each puzzle provides a shape with blanks along its sides and diagonals. The user must fill in the blanks with the numbers provided to reach the same target sum along each side/diagonal.
NSDL National Science Digital Library
Mrs. Fincher
2010-03-07
Let's get speedy with number use. Click on the game Going Bananas with Divsion which is in bold letters below. Using the mouse, click on Instructions and read them carefully. Then, click on Start Game . Then select 3-12 as your level to play. Use the mouse to select ...
NSDL National Science Digital Library
2012-12-27
In this lesson, learners are challenged to discover the relationship among six numbers. The objective of this activity is to engage learners in a problem-solving situation in which they practice aspects of the process of science. Learners can use an included Science Flowchart to chart their scientific experience. This lesson serves as a good introduction to the nature of scientific inquiry.
ERIC Educational Resources Information Center
Kathotia, Vinay
2009-01-01
This article reports on work undertaken by schools as part of Qualifications and Curriculum Authority's (QCA's) "Engaging mathematics for all learners" project. The goal was to use in the classroom, materials and approaches from a Royal Institution (Ri) Year 10 master-class, "Number Sense", which was inspired by examples from Michael Blastland and…
NSDL National Science Digital Library
2008-01-01
This interactive applet helps students develop fluency with multiplication facts. Users chose a factor from among the digits 1-9, each of which is associated with a mnemonic graphic. The applet then displays three numbers and the user selects the one which is a multiple of the chosen factor. The player must respond correctly to ten examples to complete a round. A one-point penalty for selecting an incorrect product discourages guessing. The few words that are displayed are in Dutch.
NASA Technical Reports Server (NTRS)
2006-01-01
29 January 2006 This Mars Global Surveyor (MGS) Mars Orbiter Camera (MOC) image shows a spotted, high latitude plain, south of the Argyre basin. When the image was received from Mars by the MOC operations team, they noticed -- with a sense of humor -- the number '8' on this martian surface. The '8' is located at the center-right and is formed by the rims of two old impact craters that have been eroded and partly-filled and partly-buried beneath the surface.
Location near: 68.6oS, 38.4oW Image width: 3 km (1.9 mi) Illumination from: upper left Season: Southern Summer
1 -Routing Number 2 -Account Number
Chen, Yiling
1 2 1 - Routing Number 2 - Account Number EMPLOYEE SELF SERVICE: DIRECT DEPOSIT Before you begin you will need: Â· Your Harvard University Id Number (HUID) Â· Your HUID pin number Â· Your Checking/Savings Account Number Â· Your Bank Routing Number Check Example Â· Go to www.harvie.harvard.edu Â· Sign
Topics in Number Theory: The Number Game.
ERIC Educational Resources Information Center
Batra, Laj, Ed.; And Others
This teacher's guide contains nine topics in number theory. Suggested questions for the teacher, short investigations, and possible exercises for the student are included. Chapter 1 is an introduction to sequences and series using geoboard activities involving triangular numbers, square numbers, rectangular numbers, and pentagonal numbers. The…
Baldwin, John T.
Calculating Hanf Numbers John T. Baldwin Monsters and Universes Some Hanf Numbers Hanf Numbers Calculating Hanf Numbers John T. Baldwin July 7, 2011 #12;Calculating Hanf Numbers John T. Baldwin Monsters;Calculating Hanf Numbers John T. Baldwin Monsters and Universes Some Hanf Numbers Hanf Numbers Grothendieck
ERIC Educational Resources Information Center
Griffin, Sharon
2004-01-01
Educators define number sense as a set of conceptual relationships between quantities and numerical symbols. The instructional principals of teaching number sense and number worlds program are mentioned.
NSDL National Science Digital Library
2013-06-02
In this 3-minute video mathematician James Grime demonstrates a number trick that helps develop number sense and fluency with number facts. Viewers will learn how to play the trick, based on addition of 4-digit numbers, on others.
ERIC Educational Resources Information Center
Gurganus, Susan
2004-01-01
"Number sense" is "an intuition about numbers that is drawn from all varied meanings of number" (NCTM, 1989, p. 39). Students with number sense understand that numbers are representative of objects, magnitudes, relationships, and other attributes; that numbers can be operated on, compared, and used for communication. It is fundamental knowledge…
Complex numbers Quaternions Imaginary numbers and Quaternions Katrin Leschke University of Leicester June 29, 2010 Katrin Leschke Imaginary numbers and Quaternions #12;Complex numbers Quaternions Imaginary numbers and Quaternions #12;Complex numbers Quaternions Vectors in 2dÂspace A vector in 2d
NSDL National Science Digital Library
Mrs. Estes
2007-11-02
Let\\'s learn about numbers! How many Fish? Count the Fish Let\\'s count! How many... Matching is fun! Match the number How well do I really know these numbers? Getting to know the numbers Counting the kids Kids on the bus We love Ants! Count the ants Flying into the univerise of numbers Rocket ...
NSDL National Science Digital Library
2014-09-18
The study of numbers and operations is the cornerstone of the mathematics curriculum. Learning what numbers mean, how they may be represented, relationships among them, and computations with them is central to developing number sense.
Numbers Defy the Law of Large Numbers
ERIC Educational Resources Information Center
Falk, Ruma; Lann, Avital Lavie
2015-01-01
As the number of independent tosses of a fair coin grows, the rates of heads and tails tend to equality. This is misinterpreted by many students as being true also for the absolute numbers of the two outcomes, which, conversely, depart unboundedly from each other in the process. Eradicating that misconception, as by coin-tossing experiments,…
Number Sense Series: Developing Early Number Sense
NSDL National Science Digital Library
Jenni Way
The author of this one-page article discusses early number sense and how it develops. She provides research background and suggests teaching strategies that promote early number sense, including instructions for simple games using dot cards. The article includes a list of references and a link to a follow-up article, "A Sense of 'ten' and Place Value" (cataloged separately).
Number Square Puzzle: 10 Missing Numbers
NSDL National Science Digital Library
2012-07-19
This activity for the interactive white board (free access with registration) allows the learner to explore the patterns in the hundreds chart and notice the relationships between the numbers in the horizontal and vertical puzzles. Users drag and drop the individual numbers back in their correct places in the blank 10 X 10 grid.
ERIC Educational Resources Information Center
Shi, Yixun
2010-01-01
Starting with an interesting number game sometimes used by school teachers to demonstrate the factorization of integers, "sum-difference numbers" are defined. A positive integer n is a "sum-difference number" if there exist positive integers "x, y, w, z" such that n = xy = wz and x ? y = w + z. This paper characterizes all sum-difference numbers…
ERIC Educational Resources Information Center
Wilkie, James E. B.; Bodenhausen, Galen V.
2012-01-01
We examined the possibility that nonsocial, highly generic concepts are gendered. Specifically, we investigated the gender connotations of Arabic numerals. Across several experiments, we show that the number 1 and other odd numbers are associated with masculinity, whereas the number 2 and other even numbers are associated with femininity, in ways…
James E. B. Wilkie; Galen V. Bodenhausen
2012-01-01
We examined the possibility that nonsocial, highly generic concepts are gendered. Specifically, we investigated the gender connotations of Arabic numerals. Across several experiments, we show that the number 1 and other odd numbers are associated with masculinity, whereas the number 2 and other even numbers are associated with femininity, in ways that influence judgments of stimuli arbitrarily paired with numerical
DIDIER DUBOIS; HENRI PRADE
1978-01-01
A fuzzy number is a fuzzy subset of the real line whose highest membership values are clustered around a given real number called the mean value ; the membership function is monotonia on both sides of this mean value. In this paper, the usual algebraic operations on real numbers are extended to fuzzy numbers by the use of a fuzzification
Spooky Sequences- Square Numbers
NSDL National Science Digital Library
Mark Cogan
2002-01-01
This interactive Flash game helps students recognize and generate the sequence of square numbers, and also to discover the pattern of differences between them. The applet displays a sequence of six consecutive square numbers with one number missing. The player provides the missing number to "send the ghosts back to the haunted house." Each game consists of five sequences to complete.
ERIC Educational Resources Information Center
Mack, Nancy K.
2011-01-01
Exploring number systems of other cultures can be an enjoyable learning experience that enriches students' knowledge of numbers and number systems in important ways. It helps students deepen mental computation fluency, knowledge of place value, and equivalent representations for numbers. This article describes how the author designed her…
Prime Numbers Riemann Hypothesis
Stein, William
Prime Numbers and the Riemann Hypothesis Barry Mazur William Stein 1 #12;Contents Preface 5 I The Riemann Hypothesis 11 1 Thoughts about numbers 12 2 What are prime numbers? 15 3 "Named" prime numbers 20 is Riemann's Hypothesis? 49 14 The mystery moves to the error term 51 15 Ces`aro smoothing 52 16 A view
NSDL National Science Digital Library
Dan Bunker
2010-01-01
This Flash applet is an interactive version of the classic game that develops number sense and strategic thinking. The computer generates a random secret number. The user makes guesses, taking advantage of the higher or lower clues provided, until the number is discovered. The goal is to find the secret number with as few attempts as possible. Three levels allow the user to adjust the range of possible numbers: up to 100, 500, or 1000.
NSDL National Science Digital Library
TERC
2010-01-01
In this activity, learners will ask yes-no questions to identify a secret number (similar to Twenty Questions). Combine logic and numbers in this game for all ages. One person chooses a secret number and announces the range in which it falls, for instance: “I’m thinking of a number between 1 and 50.” Other players ask yes or no questions to identify the number. The player who identifies the secret number wins. This game is easy to adapt to different ages: young children can ask and reason about “more than” and “less than” (Is it less than 7? Is there a 1 in the 10’s place)? and older ones can ask about multiples, factors, or number relationships (Is it a multiple of 3? Is it a square number?). Available as a web page and downloadable pdf.
Harbour, Daniel, 1975-
2003-01-01
The dissertation argues for the necessity of a morphosemantic theory of number, that is, a theory of number serviceable both to semantics and morphology. The basis for this position, and the empirical core of the dissertation, ...
NSDL National Science Digital Library
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Whole Number Cruncher is one of the Interactivate assessment explorers.
NSDL National Science Digital Library
David Joiner
The process of creating numbers that simulate randomness on a computer is known as pseudorandom number generation. The "pseudo" in pseudo random refers to the fact that if you use a rule to generate a number, it is by definition not random, though it may appear so, and be close enough to random for all practical purposes.
Number Relationships in Preschool
ERIC Educational Resources Information Center
Jung, Myoungwhon
2011-01-01
When a child understands number relationships, he or she comprehends the meaning of numbers by developing multiple, flexible ways of representing them. The importance of developing number relationships in the early years has been highlighted because it helps children build a good foundation for developing a more sophisticated understanding of…
ERIC Educational Resources Information Center
de Mestre, Neville
2008-01-01
Prime numbers are important as the building blocks for the set of all natural numbers, because prime factorisation is an important and useful property of all natural numbers. Students can discover them by using the method known as the Sieve of Eratosthenes, named after the Greek geographer and astronomer who lived from c. 276-194 BC. Eratosthenes…
ERIC Educational Resources Information Center
Landy, David; Silbert, Noah; Goldin, Aleah
2013-01-01
Despite their importance in public discourse, numbers in the range of 1 million to 1 trillion are notoriously difficult to understand. We examine magnitude estimation by adult Americans when placing large numbers on a number line and when qualitatively evaluating descriptions of imaginary geopolitical scenarios. Prior theoretical conceptions…
ERIC Educational Resources Information Center
Allen, G. Donald
2014-01-01
In human history, the origin of the numbers came from definite practical needs. Indeed, there is strong evidence that numbers were created before writing. The number "1", dating back at least 20,000 years, was found as a counting symbol on a bone. The famous statement by the German mathematician Leopold Kronecker (1823-1891), "God…
ERIC Educational Resources Information Center
Hanford, Terry; White, Kathleen
1991-01-01
Although numbers such as average test scores or dropout rates can capture part of a school system's success or failure, school statistics seldom tell the whole story. School board members should realize that numbers might measure compliance or process, rather than improvement. Also, improvements in numbers might reflect changes in assessment…
Number Sense Made Simple Using Number Patterns
ERIC Educational Resources Information Center
Su, Hui Fang Huang; Marinas, Carol; Furner, Joseph
2011-01-01
This article highlights investigating intriguing number patterns utilising an emerging technology called the Square Tool. Mathematics teachers of grades K-12 will find the Square Tool useful in making connections and bridging the gap from the concrete to the abstract. Pattern recognition helps students discover various mathematical concepts. With…
LOCAL FUNDS TRAVEL VOUCHER Vendor Identification Number (VID) Voucher Number
Lightsey, Glenn
LOCAL FUNDS TRAVEL VOUCHER Vendor Identification Number (VID) Voucher Number DOCUMENT ID: Payee _____________ Lodging Transportation Account Number(s) Amount Other Total: Disposition of Duties TRAVEL APPROVED BY
Landy, David; Silbert, Noah; Goldin, Aleah
2013-07-01
Despite their importance in public discourse, numbers in the range of 1 million to 1 trillion are notoriously difficult to understand. We examine magnitude estimation by adult Americans when placing large numbers on a number line and when qualitatively evaluating descriptions of imaginary geopolitical scenarios. Prior theoretical conceptions predict a log-to-linear shift: People will either place numbers linearly or will place numbers according to a compressive logarithmic or power-shaped function (Barth & Paladino, ; Siegler & Opfer, ). While about half of people did estimate numbers linearly over this range, nearly all the remaining participants placed 1 million approximately halfway between 1 thousand and 1 billion, but placed numbers linearly across each half, as though they believed that the number words "thousand, million, billion, trillion" constitute a uniformly spaced count list. Participants in this group also tended to be optimistic in evaluations of largely ineffective political strategies, relative to linear number-line placers. The results indicate that the surface structure of number words can heavily influence processes for dealing with numbers in this range, and it can amplify the possibility that analogous surface regularities are partially responsible for parallel phenomena in children. In addition, these results have direct implications for lawmakers and scientists hoping to communicate effectively with the public. PMID:23819823
NSDL National Science Digital Library
2006-01-01
This interactive Flash applet helps students explore place value and develop number sense within whole numbers, integers and decimals. It allows a child or teacher to select an interval in the given number line and show that interval divided into ten equal parts but on a larger scale, which can then be repeated. Users may choose the size of the interval between markers on the first number line and the starting number of that line, as well as whether to hide or show individual number lines and the numbers on them. This applet lends itself well for use on an interactive white board. A pdf guide to this collection of teaching applets is cataloged separately.
Buoyancy-aided convection flow in a heated straight pipe: comparing different asymptotic models
NASA Astrophysics Data System (ADS)
Arfaoui, Walid; Safi, Mohamed Jomaa; Lagrée, Pierre-Yves
2015-09-01
A vertical straight circular adiabatic vertical long tube, open at its lower and upper ends, is heated at its base on a short portion. The flow is studied with the hypothesis of no pressure drop between the entrance and the exit. Direct resolution of Navier Stokes equations is done by finite volumes. The numerical solutions are then compared to a one dimensional model and to two asymptotic models. The first asymptotic model is inspired from boundary layer approximations whereas the second one is more a linear perturbation of the Navier Stokes Boussinesq equations. For moderate values of the Grashof number, pressure, starting from zero decreases over the heated part to a minimum and increases on the adiabatic tube to zero. For larger values of Grashof, a local maximum in pressure appears, this pressure hump may even be positive. The four model agree, for moderate Grashof. When increasing the Grashof, only the two asymptotic models recover the behavior obtained from the numerical simulations.
Curvature and Tachibana numbers
Stepanov, Sergey E
2011-07-31
The aim of this paper is to define the rth Tachibana number t{sub r} of an n-dimensional compact oriented Riemannian manifold as the dimension of the space of conformally Killing r-forms, for r=1,2,...,n-1. We also describe properties of these numbers, by analogy with properties of the Betti numbers b{sub r} of a compact oriented Riemannian manifold. Bibliography: 25 titles.
Cocos, Mihail
2011-01-01
In this paper we present a mathematical way of defining musical modes, we derive a formula for the total number of modes and define the musicality of a mode as the total number of harmonic chords whithin the mode. We also give an algorithm for the construction of a duet of melodic lines given a sequence of numbers and a mode. We attach the .mus files of the counterpoints obtained by using the sequence of primes and several musical modes.
NSDL National Science Digital Library
2011-01-01
This interactive game gives students practice in counting and ordering numbers. Users try to determine the magician's secret number in as few tries as possible by adjusting their successive guesses according to feedback (too high or too low). Solvers can choose from three ranges of numbers (1 to 10, 1 to 100, or -1000 to 1000) and choose whether or not to view previous guesses.
NSDL National Science Digital Library
This problem provides an opportunity to introduce a visual way of representing operations on unknown numbers to help lead students to using a symbolic representation. Learners are asked to think of a number and then through an interactivity are given a sequence of operational instructions to follow which leads all students to the same final number. The Teachers' Notes page offers suggestions for implementation, key discussion questions, ideas for extension and support.
Multispecies weighted Hurwitz numbers
Harnad, J
2015-01-01
The construction of hypergeometric 2D Toda $\\tau$-functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometrical significance of multispecies weighted Hurwitz numbers as weighted enumerations of branched coverings of the Riemann sphere and their combinatorial significance in terms of weighted paths in the Cayley graph of $S_n$ are derived. The particular case of multispecies quantum weighted Hurwitz numbers is studied in detail.
>>> How Computers Represent Numbers
Riser, Stephen C.
= 2, R = 1 2 / 2 = 1, R = 0 1 / 2 = 0, R = 1 1011 #12;Binary Numbers in Python >>> 0b1011 11 >>> bin 1111 0011 } } } } 16 bits in binary D9F3 same bits in hex #12;Hex Numbers in Python hex() - represents number · 232 = 4.29 x 109, i.e. can address at most 4.29 GB RAM · Programming languages store and process
7 CFR 29.9205 - Identification number (farm serial number).
Code of Federal Regulations, 2013 CFR
2013-01-01
...2013-01-01 false Identification number (farm serial number). 29.9205 Section 29.9205 Agriculture...Definitions § 29.9205 Identification number (farm serial number). The serial number assigned to an individual farm by the...
7 CFR 29.9205 - Identification number (farm serial number).
Code of Federal Regulations, 2014 CFR
2014-01-01
...2014-01-01 false Identification number (farm serial number). 29.9205 Section 29.9205 Agriculture...Definitions § 29.9205 Identification number (farm serial number). The serial number assigned to an individual farm by the...
7 CFR 29.9205 - Identification number (farm serial number).
Code of Federal Regulations, 2012 CFR
2012-01-01
...2012-01-01 false Identification number (farm serial number). 29.9205 Section 29.9205 Agriculture...Definitions § 29.9205 Identification number (farm serial number). The serial number assigned to an individual farm by the...
Avogadro's Number Ferromagnetically
ERIC Educational Resources Information Center
Houari, Ahmed
2010-01-01
Avogadro's number, usually denoted by N[subscript A], plays a fundamental role in both physics and chemistry. It defines the extremely useful concept of the mole, which is the base unit of the amount of matter in the international system of units. The fundamental character of this number can also be illustrated by its appearance in the definitions…
NSDL National Science Digital Library
2014-09-19
In this math activity, learners play a game similar to 20 Questions, in which learners must identify a secret number drawn from a bag. Learners practice their logical thinking and questioning skills as they develop their number sense. This activity guide contains a material list, sample questions to ask, literary connections, extensions, and alignment to local and national standards.
Vieru, Andrei
2012-01-01
We define and study a transform whose iterates bring to the fore interesting relations between Pisot numbers and primes. Although the relations we describe are general, they take a particular form in the Pisot limit points. We give three elegant formulae, which permit to locate on the whole semi-line all limit points that are not integer powers of other Pisot numbers.
... Life Science > Genetics by the Numbers Inside Life Science View All Articles | Inside Life Science Home Page Genetics by the Numbers By Chelsea Toledo ... Genetics NIH's National DNA Day This Inside Life Science article also appears on LiveScience . Learn about related ...
NSDL National Science Digital Library
2008-10-10
In this quick time video segment from Cyberchase, viewers learn about extending a vertical number line below zero as they watch the CyberSquad rescue the Cyberspace Council, which is being held captive by Hacker in a tall building. This video is also featured in the lesson plan: "Introducing Negative Numbers" (cataloged separately). Teaching Tips and a transcript are included.
NSDL National Science Digital Library
Visually explore counting and place value with different number bases, from base 2 to base 16, and up to the hundreds place using a clock like interface. The activity also allows you to look at the numbers on the clock in base 10 or in your other chosen base to explore the relationship between those values.
NSDL National Science Digital Library
2010-01-01
This 4-minute video introduces the definition of a prime number and illustrates it through a discussion of factors and composite numbers. It makes use of the definition to explain why 1 is not a prime and ends with a question for the viewer to ponder.
ERIC Educational Resources Information Center
Onstad, Torgeir
1991-01-01
After a brief historical account of Leonardo Pisano Fibonacci, some basic results concerning the Fibonacci numbers are developed and proved, and entertaining examples are described. Connections are made between the Fibonacci numbers and the Golden Ratio, biological nature, and other combinatorics examples. (MDH)
world can in fact start and end with real numbers. The usefulness of ... extremely controversial theory of in?nite sets and in?nite numbers. What began, at .... with many additional reasons for doubting their existence, and for remaining quite ...
NSDL National Science Digital Library
Miss Gribbin
2010-11-10
Counting numbers 1-10 Help Champ the Monkey Count the Bananas! The higher you count the harder it gets when you Count the Fish In Pirate numbers count the barrels and then press the red button to launch the cannon. Make sure you're right or your ship will sink! Help count with Counting with Elmo and Zoe! ...
NSDL National Science Digital Library
Grinstead, Charles M.
Created by Charles M. Grinstead and J. Laurie Snell of Dartmouth College, this website is part of an online statistics textbook. Topics include: (1) Law of Large Numbers for Discrete Random Variables, (2) Chebyshev Inequality, (3) Law of Averages, (4) Law of Large Numbers for Continuous Random Variables, (5) Monte Carlo Method. There are several examples and exercises that accompany the material.
ERIC Educational Resources Information Center
Gialamas, Stephanos; McCann, Miriam K.
1991-01-01
This article traces the history of zero and its dual role as a placeholder, albeit of empty space, and as a number for computational purposes. The use of one symbol for both situations is shown to be tied to the adoption, and subsequent promulgation, of our modern numbering system. (JJK)
Behmer, Spencer T.
Definitions Â· Numbered Space Â a single space marked with a number and reserved for a single permit 24/7 Â· Unnumbered Space Â a space which can be used by any customer allowed to park in that lot. High Low Average Question 4: If I buy a staff permit for an UNNUMBERED* space in a non-gated surface
J. Felsenstein
1978-01-01
A simple method of counting the number of possible evolutionary trees is presented. The trees are assumed to be rooted, with labelled tips but unlabelled root and unlabelled interior nodes. The method allows multifurcations as well as bifurcations. It makes use of a simple recurrence relation for T(n,m), the number of trees with n labelled tips and m unlabelled interior
NSDL National Science Digital Library
TERC
2010-01-01
All those numbers in the newspaper: what do they mean? Challenge learners to find out as they develop their number sense. Distribute newspaper pages to learners so that each pair gets a section with numbers at the right level of difficulty: easy—weather or sports scores; medium—clothing ads or event listings with times and dates; hard—automobile ads, monetary exchange rates. Learners try to find the smallest and largest numbers on the page (including best deal/best rate) and explain to others what they found. Variation for younger learners: look for the largest or smallest number on a walk around the building or around the block. Available as a web page and downloadable pdf.
Helleloid, Geir; Moulton, David Petrie; Wood, Philip Matchett
2008-01-01
In graph pegging, we view each vertex of a graph as a hole into which a peg can be placed, with checker-like ``pegging moves'' allowed. Motivated by well-studied questions in graph pebbling, we introduce two pegging quantities. The pegging number (respectively, the optimal pegging number) of a graph is the minimum number of pegs such that for every (respectively, some) distribution of that many pegs on the graph, any vertex can be reached by a sequence of pegging moves. We prove several basic properties of pegging and analyze the pegging number and optimal pegging number of several classes of graphs, including paths, cycles, products with complete graphs, hypercubes, and graphs of small diameter.
Conversion Between Different Number Systems Positional number systems
Simonson, Shai
Conversion Between Different Number Systems Positional number systems Our decimal number system is known as a positional number system, because the value of the number depends on the position of the digits. For example, the number 123 has a very different value than the number 321, although the same
Two Symmetric Properties of Mersenne Numbers and Fermat Numbers
Shi Yongjin
2013-05-09
Mersenne numbers and Fermat numbers are two hot and difficult issues in number theory. This paper constructs a special group for every positive odd number other than 1, and discovers an algorithm for determining the multiplicative order of 2 modulo q for each positive odd number q. It is worth mentioning that this paper discovers two symmetric properties of Mersenne numbers and Fermat numbers.
NSDL National Science Digital Library
2012-01-01
This activity for the interactive white board (free access with registration) allows a teacher to create an arithmetic sequence for students to watch being built as the sequence of numbers moves along a conveyor. Learners must determine the pattern being used so when the belt randomly stops, the missing number in the sequence can be dragged/ dropped into its place. The teacher sets the start number (0-19), the interval or common difference (1-10) and if the sequence will count up or down. This last option provides an opportunity to display patterns with integers.
NSDL National Science Digital Library
James Barrett
2009-01-01
This Flash applet generates number fact questions for the game of Bingo. Each of the six levels focuses on a different range of number facts (addition, subtraction, and multiplication), which are displayed one at a time in a variety of question formats. The applet is intended for use in a class/group setting with a projector or interactive whiteboard. Downloadable cards for each level are available from the menu page. At any time in a game the "number facts so far" feature will reveal all the questions presented in the current round to facilitate review or verification of a winning board.
Computer Corner: Growing Numbers.
ERIC Educational Resources Information Center
Shumway, Richard J.
1983-01-01
Exponential growth provides an interesting setting for exploration. A sequence of activities and questions which will help students become better acquainted with large numbers and scientific notation, as well as computer notions, is given. (MNS)
Electrician Job Number: 45112537
Heller, Barbara
Electrician Job Number: 45112537 Company Name: Amcor Rigid Plastics USA, INC Job Location: Batavia you can trust and respect. Amcor Rigid Plastics is currently seeking an Electrician for their Batavia
NASA Astrophysics Data System (ADS)
Artemieva, N. A.
2015-07-01
Smart impact hydrocodes running on modern powerful computers produce billions and billions of numbers in the blink of an eye. To sort them out and to generate new knowledge we have to work in collaboration with geologists, geochemists, seismologists.
Discovering Avogadro's Number.
ERIC Educational Resources Information Center
Rieck, William A.
1997-01-01
Illustrates the use of an inductive approach that leads students to the discovery of Avogadro's number while integrating thinking, mathematical, and calculator skills in the process. An understanding of scientific notation and a calculator are required. (DDR)
ERIC Educational Resources Information Center
Strawn, Candace A.
1998-01-01
Describes LOGO's turtle graphics capabilities based on a sixth-grade classroom's activities with negative numbers and Logo programming. A sidebar explains LOGO and offers suggestions to teachers for using LOGO effectively. (LRW)
Emergency Numbers DANFORTH CAMPUS
Emergency Numbers DANFORTH CAMPUS Ambulance · Fire · Police (314) 935-5555 Emergency Health Service to each of us indi- vidually. Each of us must become familiar with services provided by the University ........................................................................................................ 5 Parking and Transportation Services............................................................. 6
Emergency Numbers DANFORTH CAMPUS
Baloh, Bob
Emergency Numbers DANFORTH CAMPUS Ambulance · Fire · Police (314) 935-5555 Emergency Health Service of everyone in our community belongs to each of us individually. Each of us must become familiar with services ........................................................................................................ 6 Parking and Transportation Services............................................................. 6
Dangerous Doubles (Doubling Numbers)
NSDL National Science Digital Library
Stephanie Sharrer
2012-07-14
This lesson teaches students to use the strategy doubling numbers and doubles plus or minus one in order to use mental math to add one digit numbers. The students are engaged in learning through the read aloud of Double the Ducks by Stephen Murphy and then get to work with a partner to draw doubles and write equations that relate to their drawings. Students individually work on solving word problems using these strategies and manipulatives as necessary to solve.
ERIC Educational Resources Information Center
Brown, Ezra; Brunson, Cornelius
2008-01-01
Fibonacci's forgotten number is the sexagesimal number 1;22,7,42,33,4,40, which he described in 1225 as an approximation to the real root of x[superscript 3] + 2x[superscript 2] + 10x - 20. In decimal notation, this is 1.36880810785...and it is correct to nine decimal digits. Fibonacci did not reveal his method. How did he do it? There is also a…
NSDL National Science Digital Library
NCTM Illuminations
2009-06-23
The resource consists of 3 unrelated problem-solving challenges that can build number sense. Activity 1: Students explore the concept of a million to determine if 1 million dollar bills can fit into a standard suitcase. Activity 2: Students use a paper disk to estimate and name exact fractions between 0 and 1. Activity 3: Students explore the effect of addition, subtraction, multiplication, and division on decimal numbers by playing an engaging game.
Nelson, R.N. (ed.)
1985-05-01
This publication lists all report number codes processed by the Office of Scientific and Technical Information. The report codes are substantially based on the American National Standards Institute, Standard Technical Report Number (STRN)-Format and Creation Z39.23-1983. The Standard Technical Report Number (STRN) provides one of the primary methods of identifying a specific technical report. The STRN consists of two parts: The report code and the sequential number. The report code identifies the issuing organization, a specific program, or a type of document. The sequential number, which is assigned in sequence by each report issuing entity, is not included in this publication. Part I of this compilation is alphabetized by report codes followed by issuing installations. Part II lists the issuing organization followed by the assigned report code(s). In both Parts I and II, the names of issuing organizations appear for the most part in the form used at the time the reports were issued. However, for some of the more prolific installations which have had name changes, all entries have been merged under the current name.
NSDL National Science Digital Library
Have you ever wondered about the mathematics behind the idea of "six degrees of separation?" The Erd's Number Project offers several fairly comprehensive lists of co-author relationships to elaborate (with a bit of humor) studies of the dynamics involved in "the collaboration graph," which the website says is "a 'real-life' fairly large graph for combinatorialists to study." The co-author relationship list begins with the Hungarian mathematician Paul Erd's and branches outward, so that anyone who co-authored with Erd's is assigned Erd's number 1 and anyone who co-authored with an Erd's number 1 is assigned the Erd's number 2, and so on. The website offers some suggestions for how the lists might be used, including finding your own Erd's number, testing algorithms, or just getting a sense of the different areas of mathematics represented by Erd's' co-authors. Visitors can also learn more about Erd's, read articles about collaboration in mathematics, or browse through the websites which are linked from the co-author data lists.
Inclusion of heat transfer computations for particle laden flows
NASA Astrophysics Data System (ADS)
Feng, Zhi-Gang; Michaelides, Efstathios E.
2008-04-01
A newly developed direct numerical simulation method has been used to study the dynamics of nonisothermal cylindrical particles in particulate flows. The momentum and energy transfer equations are solved to compute the effects of heat transfer in the sedimentation of particles. Among the effects examined is the drag force on nonisothermal particles, which we found strongly depends on the Reynolds and Grashof numbers. It was observed that heat advection between hotter particles and fluid causes the drag coefficient of particles to significantly increase at relatively low Reynolds numbers. For Grashof number of 100, the drag enhancement effect diminishes when the Reynolds number exceeds 50. On the contrary, heat advection with colder particles reduces the drag coefficient for low and medium Reynolds number (Re<50) for Grashof number of -100. We used this numerical method to study the problem of a pair of hot particles settling in a container at different Grashof numbers. In isothermal cases, such a pair of particles would undergo the well-known drafting-kissing-tumbling (DKT) motion. However, it was observed that the buoyancy currents induced by the hotter particles reverse the DKT motion of the particles or suppress it altogether. Finally, the sedimentation of a circular cluster of 172 particles in an enclosure at two different Grashof numbers was studied and the main features of the results are presented.
Third Grade Number Actiivities
NSDL National Science Digital Library
Nicola Godwin
2012-01-01
This page provides examples of Third Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files listed are in PDF format.
Species number with confidence
NASA Astrophysics Data System (ADS)
Smith, Woollcott K.; Solow, Andrew R.; Maciolek, Nancy J.
2009-09-01
Benthic sampling by J. Frederick Grassle and Nancy J. Maciolek during the 1980s contributed to a recognition of the enormous diversity of biota in the deep sea. The problem of predicting on the basis of such sampling, the number of species in a community is a classical one in statistical ecology. Here, we show how to construct a lower prediction bound on species number using the sequential broken-stick model of relative abundances. We illustrate the method using some data from Grassle and Maciolek's original sampling effort.
Neutral pion number fluctuations
Elena Kokoulina
2011-10-13
Neutral pion number fluctuations have been measured in proton interactions at U-70 accelerator (IHEP, Protvino). The experiment is carried out on the SVD-2 setup. Charged and neutral particles are registered simultaneously. The reconstruction of $\\pi ^0$-mesons is fulfilled by means of observed gamma quanta at the electromagnetic calorimeter. The corrections on the setup acceptance, triggering, efficiencies of detectors and the reconstruction algorithm are included. The multiplicity distributions of the neutral pions have permitted to define the scaled variance, $\\omega $, for $\\pi ^0$-mesons. The revealed sharp growth of fluctuations of the neutral pion number at total meson multiplicities more than 22 can indicate the Bose-Einstein condensate formation.
Sandrini, Marco; Rusconi, Elena
2009-01-01
Healthy human brains come equipped with several circuits that contribute to number processing. Nature and nurture interact to produce a unique combination of core skills and more sophisticated abilities, by building on a handful of auxiliary routes (e.g., verbal language, body knowledge and visuospatial attention). Transcranial magnetic stimulation (TMS) studies on number processing will be here succinctly reviewed, in light of their most stimulating and challenging contributions. New research directions will be pointed out, that might enhance their theoretical impact. PMID:18976990
On normal numbers Veronica Becher
Becher, Verónica
On normal numbers Ver´onica Becher Universidad de Buenos Aires & CONICET Workshop on Logic Language that the expansions of real numbers obey the Law of Large Numbers. Ver´onica Becher On normal numbers 1 / 30 #12 to b - 1. Ver´onica Becher On normal numbers 1 / 30 #12;Normal numbers Definition (Borel, 1909) A real
ERIC Educational Resources Information Center
Doyle, William R.
2010-01-01
Some say that the educators now have a gender-stratified system of higher education, with nearly 60 percent of all undergraduates being women and fewer men attending each year. The battle for gender equity for women in higher education has been a long and contentious one. In the decades since, increasing numbers of women have gone to college, to…
ERIC Educational Resources Information Center
Moomaw, Sally; Carr, Victoria; Boat, Mary; Barnett, David
2010-01-01
A child's demonstration of his conceptual understanding of number bodes well for his future success in school mathematics. As youngsters' thinking becomes more logical, they apply one-to-one correspondence relationships to quantification. Yet, reliable assessment of young children's mathematical ability is difficult because of social and emotional…
Facultad De Ciencias Exactas; Gregory Chaitin; Sergio Daicz I; Vernica Becher
2001-01-01
In his celebrated 1936 paper Turing defined a machine to becircular iff it performs an infinite computation outputting only finitelymany symbols. We define ( as the probability that an arbitrary machinebe circular and we prove that is a random number that goes beyond$2, the probability that a universal self alelimiting machine halts. Thealgorithmic complexity of c is strictly greater than
Calgary, University of
Channels for GNSS Applications," Journal of Navigation, vol 65, no 3, June, Cambridge University Press, pp of GNSS 2011, 20-23 September, Portland OR, The Institute of Navigation, 9 pages. (ION GNSS11 StudentUCGE Reports Number 20357 Department of Geomatics Engineering Improved Navigation Solution
Calgary, University of
UCGE Reports Number 20272 Department of Geomatics Engineering Fiscal Cadastral Systems Reform://www.geomatics.ucalgary.ca/research/publications/GradTheses.html) by Jennifer Whittal September 2008 #12;UNIVERSITY OF CALGARY Fiscal Cadastral Systems Reform A Case Study of fiscal cadastral reform focuses on formulating an appropriate framework for reform, with CAMA
ERIC Educational Resources Information Center
Hahn, Nic
2012-01-01
Remember paint by numbers? This revived trend was a perfect solution to teaching geometric shapes to the author's first-grade students. Geometric shapes are identified and used in early elementary art classrooms, but this lesson gives students a deeper understanding of shape, encourages problem-solving, and makes a strong correlation between math…
Calgary, University of
UCGE Reports Number 20333 Department of Geomatics Engineering Benefits of Combined GPS/GLONASS Essam Hassan Roshdy Tamazin July 2011 #12;UNIVERSITY OF CALGARY Benefits of Combined GPS/GLONASS Positioning System (GPS) and the Global Navigation Satellite System (GLONASS) for receivers in comparison
Calgary, University of
UCGE Reports Number 20311 Department of Geomatics Engineering Reliability of Combined GPS/GLONASS;UNIVERSITY OF CALGARY Reliability of Combined GPS/GLONASS Ambiguity Resolution by Richard Ong A THESIS;ii Abstract This thesis presents an analysis of the impact of combining GPS and GLONASS
NSDL National Science Digital Library
2013-06-21
Why do quantitative biologists sometimes claim that mRNA copy numbers are Poisson distributed in simple models of gene transcription? The first video segment addresses this question under the simplifying assumption that mRNA degradation occurs after a well-defined, deterministic lifetime, and the second segment illustrates the same basic concept for the more realistic situation in which degradation is stochastic.
ERIC Educational Resources Information Center
McMurdo, George
1996-01-01
The expansion of the commercial Internet has encouraged the interpretation of the Internet and its uses as a potential marketing medium. Examines statistical and demographic information about the Internet including number of Internet hosts and World Wide Web servers, and estimates of Internet users; and raises questions about definitions and…
ERIC Educational Resources Information Center
Trudgian, Timothy
2009-01-01
One of the difficulties in any teaching of mathematics is to bridge the divide between the abstract and the intuitive. Throughout school one encounters increasingly abstract notions, which are more and more difficult to relate to everyday experiences. This article examines a familiar approach to thinking about negative numbers, that is an…
Physical Constraints of Numbers
W. Mueckenheim
2006-12-11
All sciences need and many arts apply mathematics whereas mathematics seems to be independent of all of them, but only based upon logic. This conservative concept, however, needs to be revised because, contrary to Platonic idealism (frequently called "realism" by mathematicians), mathematical ideas, notions, and, in particular, numbers are not at all independent of physical laws and prerequisites.
Calgary, University of
UCGE Reports Number 20042 Quality Control for Differential Kinematic GPS Positioning (URL: http OF CALGARY QUALITY CONTROL FOR DIFFERENTIAL KINEMATIC GPS POSITIONING BY GANG LU A THESIS SUBMITTED is functioning properly. In this thesis, the statistical quality control methods for use in kinematic GPS
Calgary, University of
an important tool for modeling urban growth and land-use changes in recent decades. However, few studies haveUCGE Reports Number 20365 Department of Geomatics Engineering A Cellular Automata Model to Simulate://www.geomatics.ucalgary.ca/graduatetheses) by Fang Wang Dec. 12, 2012 #12;UNIVERSITY OF CALGARY A Cellular Automata Model to Simulate Land
NSDL National Science Digital Library
Laura Domalik
2010-01-01
In this 5-minute video Laura Domalik defines number sense and provides instructional strategies for counting and vocabulary, including counting on, counting back, one more than (+1), one less than (-1), basic fact concepts of +1 and -1, and missing addends. She demonstrates a game called Garbage, which can be played alone or with a partner.
Stuttgart, Universität
and GRACE based on the energy balance approach. The first part discusses the global gravity field recoveryUCGE Reports Number 20248 Department of Geomatics Engineering Global and Local Gravity Field://www.geomatics.ucalgary.ca/research/publications/GradTheses.html) by Matthias Luigi Weigelt January 2007 #12;UNIVERSITY OF CALGARY Global and Local Gravity Field Recovery from
Calgary, University of
-m distribution and the slow fading components using a Log- Normal or Gamma distribution. #12;iii TemporalUCGE Reports Number 20336 Department of Geomatics Engineering GNSS Channel Characterization Satyanarayana September 2011 #12;UNIVERSITY OF CALGARY GNSS CHANNEL CHARACTERIZATION AND ENHANCED WEAK SIGNAL
Khan, T.A.; Baum, J.W.; Beckman, M.C. [eds.] [eds.
1993-10-01
This document contains information dealing with the lessons learned from the experience of nuclear plants. In this issue the authors tried to avoid the `tyranny` of numbers and concentrated on the main lessons learned. Topics include: filtration devices for air pollution abatement, crack repair and inspection, and remote handling equipment.
Calgary, University of
Bm. Different radio frequency (RF) interference signals were studied to analyze their effect on the acquisition tolerance to the RF interference signals. A continuous wave (CW) interference hinders the acquisition moreUCGE Reports Number 20199 Department of Geomatics Engineering Study of Interference Effects on GPS
Student Code Number: Thermodynamics
Feeny, Brian
Qualifier January 2013 Problem 5 A 4-cylinder, 2.4 liter, four-stroke, spark ignition engine is operatingStudent Code Number: Thermodynamics Ph.D. Qualifying Exam Department of Mechanical Engineering--s diagram. #12;Thermodynamics Qualifier January 2013 Problem 3 A Carnot heat engine receives heat at 1000K
Calgary, University of
UCGE Reports Number 20054 Department of Geomatics Engineering An Analysis of Some Critical Error Sources in Static GPS Surveying (URL: http://www.geomatics.ucalgary.ca/links/GradTheses.html) by Weigen OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE DEPARTMENT OF GEOMAUCS ENGINEERING CALGARY, ALBERTA DECEMBER
Calgary, University of
UCGE Reports Number 20284 Department of Geomatics Engineering Continuous Measurement-While-Drilling Surveying System Utilizing MEMS Inertial Sensors (URL: http-While-Drilling Surveying System Utilizing MEMS Inertial Sensors by Mahmoud Lotfy ElGizawy A THESIS SUBMITTED TO THE FACULTY
Calgary, University of
UCGE Reports Number 20305 Department of Geomatics Engineering Ultra-Tight GPS/Reduced IMU for Land;UNIVERSITY OF CALGARY Ultra-Tight GPS/Reduced IMU for Land Vehicle Navigation by Debo Sun A THESIS SUBMITTED unit (IMU) to provide more accurate navigation information than either system alone. To reduce the cost
Thesis Page Numbering -Roman Numerals to Arabic Numbers 1. Insert Page Number
Anderson, Paul R.
Thesis Page Numbering -Roman Numerals to Arabic Numbers 1. Insert Page Number Go to page where roman numerals will start. Insert tab | Header & Footer group | Page Number Choose a number format To remove page number on title page(1st page), check Different First Page Header & Footer Tools/ Design tab
Second grade Number Activities
NSDL National Science Digital Library
Nicola Godwin
2012-01-01
This page provides examples of Second Grade Number (Operations and Algebraic Thinking, and Number and Operations in Base Ten) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files listed are in PDF format.
First Grade Number Actiivities
NSDL National Science Digital Library
Nicola Godwin
2012-01-01
This page provides examples of First Grade Number (Operations and Algebraic Thinking, and Number and Operations in Base Ten) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files listed are in PDF format.
Rotationally consistent Love numbers
S. R. Dickman
2005-01-01
The Love number k2 at a 14-month period is used to characterize the deformation of the solid earth during the Chandler wobble. Traditionally, the value of k2(CW), ~0.31, is inferred from observations of the Chandler wobble period, after the effects of the oceans have been subtracted. However, during wobble the core is almost completely decoupled from the mantle; consistency requires
NSDL National Science Digital Library
2012-01-01
In this 14-min video British teacher Rosalind Caren demonstrates group activities designed to develop number sense, fluency with addition and subtraction fact families, and reasoning skills. Caren exhibits effective questioning techniques and routines. Headteacher/math coordinator Kate Frood describes the guiding principles and expectations of teaching at the school. Following a class observation Frood provides constructive feedback to Caren and her teaching assistants.
C. A. Rogers
\\u000a The Geometry of Numbers is concerned with a study of the relationships between point lattices and sets of points. In this\\u000a course of lectures I want to give an account of some of the basic general results of the subject. I will confine my attention\\u000a to the study of what may be called homogeneous problems, and will say nothing about
Kerfoot, Karlene
2005-01-01
We measure to determine where we stand financially or in our quality outcomes. As people see the connection of measures and the success of the company, everything makes more sense. Izzo (2005) writes that profits/net margins are important to an organization and are like oxygen to a person. If we have oxygen, we can focus on the important things in life; if we don't we are preoccupied with gasping for air. Organizations are the same way. With the oxygen of profits, organizations can focus on those things that matter most to the staff and the customer. But when the search for profits becomes obsessive because of greed for excess profits or impending financial doom, everybody loses. Izzo (2005) reminds us that organizations shouldn't exist for only profit, just as people don't exist for only oxygen. Oxygen is merely an enabler for us to do the work of living. Measurement and numbers are the oxygen needed to achieve excellence. As people in organizations use numbers as their servants rather than being slaves to numbers, everyone will succeed. If the use of measurement is seen as punitive, and not a system of serving people to attain that zest for business and a higher mission, we will not achieve the level of excellence our people, patients, and communities deserve. PMID:16033147
Beyond Natural Numbers: Negative Number Representation in Parietal Cortex
Blair, Kristen P.; Rosenberg-Lee, Miriam; Tsang, Jessica M.; Schwartz, Daniel L.; Menon, Vinod
2012-01-01
Unlike natural numbers, negative numbers do not have natural physical referents. How does the brain represent such abstract mathematical concepts? Two competing hypotheses regarding representational systems for negative numbers are a rule-based model, in which symbolic rules are applied to negative numbers to translate them into positive numbers when assessing magnitudes, and an expanded magnitude model, in which negative numbers have a distinct magnitude representation. Using an event-related functional magnetic resonance imaging design, we examined brain responses in 22 adults while they performed magnitude comparisons of negative and positive numbers that were quantitatively near (difference <4) or far apart (difference >6). Reaction times (RTs) for negative numbers were slower than positive numbers, and both showed a distance effect whereby near pairs took longer to compare. A network of parietal, frontal, and occipital regions were differentially engaged by negative numbers. Specifically, compared to positive numbers, negative number processing resulted in greater activation bilaterally in intraparietal sulcus (IPS), middle frontal gyrus, and inferior lateral occipital cortex. Representational similarity analysis revealed that neural responses in the IPS were more differentiated among positive numbers than among negative numbers, and greater differentiation among negative numbers was associated with faster RTs. Our findings indicate that despite negative numbers engaging the IPS more strongly, the underlying neural representation are less distinct than that of positive numbers. We discuss our findings in the context of the two theoretical models of negative number processing and demonstrate how multivariate approaches can provide novel insights into abstract number representation. PMID:22363276
New normal numbers Veronica Becher
Becher, Verónica
New normal numbers Ver´onica Becher Universidad de Buenos Aires & CONICET, Argentina Joint work Departamento de Matem´atica, FCEyN, UBA, julio 2014 Ver´onica Becher New normal numbers 0 / 15 #12;Normal numbers Ver´onica Becher New normal numbers 1 / 15 #12;Normal numbers A base is an integer b greater than
On normal numbers Veronica Becher
Becher, Verónica
On normal numbers Ver´onica Becher Universidad de Buenos Aires & CONICET Seminaire de l'Equipe de Numbers. Ver´onica Becher On normal numbers 1 / 32 #12;Normal numbers Normality is a basic form . . . where infinitely many of the ak are not equal to b - 1. Ver´onica Becher On normal numbers 1 / 32 #12
Series of Reciprocal Triangular Numbers
ERIC Educational Resources Information Center
Bruckman, Paul; Dence, Joseph B.; Dence, Thomas P.; Young, Justin
2013-01-01
Reciprocal triangular numbers have appeared in series since the very first infinite series were summed. Here we attack a number of subseries of the reciprocal triangular numbers by methodically expressing them as integrals.
Grozeva, Detelina; Kirov, George; Ivanov, Dobril; Jones, Ian R.; Jones, Lisa; Green, Elaine K.; St Clair, David M.; Young, Allan H.; Ferrier, Nicol; Farmer, Anne E.; McGuffin, Peter; Holmans, Peter A.; Owen, Michael J.; O’Donovan, Michael C.; Craddock, Nick
2015-01-01
Context Recent studies suggest that copy number variation in the human genome is extensive and may play an important role in susceptibility to disease, including neuropsychiatric disorders such as schizophrenia and autism. The possible involvement of copy number variants (CNVs) in bipolar disorder has received little attention to date. Objectives To determine whether large (>100 000 base pairs) and rare (found in <1% of the population) CNVs are associated with susceptibility to bipolar disorder and to compare with findings in schizophrenia. Design A genome-wide survey of large, rare CNVs in a case-control sample using a high-density microarray. Setting The Wellcome Trust Case Control Consortium. Participants There were 1697 cases of bipolar disorder and 2806 nonpsychiatric controls. All participants were white UK residents. Main Outcome Measures Overall load of CNVs and presence of rare CNVs. Results The burden of CNVs in bipolar disorder was not increased compared with controls and was significantly less than in schizophrenia cases. The CNVs previously implicated in the etiology of schizophrenia were not more common in cases with bipolar disorder. Conclusions Schizophrenia and bipolar disorder differ with respect to CNV burden in general and association with specific CNVs in particular. Our data are consistent with the possibility that possession of large, rare deletions may modify the phenotype in those at risk of psychosis: those possessing such events are more likely to be diagnosed as having schizophrenia, and those without them are more likely to be diagnosed as having bipolar disorder. PMID:20368508
What Is Number Theory? Number theory is the study of the set of positive whole numbers
Silverman, Joseph H.
Chapter 1 What Is Number Theory? Number theory is the study of the set of positive whole numbers 1, 2, 3, 4, 5, 6, 7, . . . , which are often called the set of natural numbers. We will especially want to study the relationships between different sorts of numbers. Since ancient times, people have separated
HOME PHONE NUMBER STUDENT ID NUMBER WORK ADDRESS
Berdichevsky, Victor
NAME ADDRESS HOME PHONE NUMBER STUDENT ID NUMBER WORK ADDRESS WORK PHONE NUMBER WORK FAX NUMBER for completing any prerequisites pertaining to courses on this plan of work. All degree requirements and coursework must be completed by (Within six years following date of first recorded grade to be used
Generalized Lucas Numbers and Relations with Generalized Fibonacci Numbers
Kaygisiz, Kenan
2011-01-01
In this paper, we present a new generalization of the Lucas numbers by matrix representation using Genaralized Lucas Polynomials. We give some properties of this new generalization and some relations between the generalized order-k Lucas numbers and generalized order-k Fibonacci numbers. In addition, we obtain Binet formula and combinatorial representation for generalized order-k Lucas numbers by using properties of generalized Fibonacci numbers.
Sun, Zhi-Hong
2011-01-01
For $n\\ge 4$ let $T_n^*=(V,E)$ be the tree on $n$ vertices with $V=\\{v_0,v_1,...,v_{n-1}\\}$ and $E=\\{v_0v_1,...,v_0v_{n-3},v_{n-3}v_{n-2},v_{n-2}v_{n-1}\\}$. In the paper we evaluate the Ramsey number $r(T_m,T_n^*)$ for $T_m\\in\\{P_m,K_{1,m-1},T_m^*\\}$. As examples, for $n\\ge 8$ we have $r(P_n,T_n^*)=r(T_n^*,T_n^*)=2n-5$; for $m\\ge 6$ and $n\\ge (m-3)^2+2$ we have $r(T_m,T_n^*)=n+m-3$ or $n+m-4$ according as $m-1\\mid n-3$ or $m-1\
Constructing normal numbers Veronica Becher
Becher, Verónica
Constructing normal numbers Ver´onica Becher Universidad de Buenos Aires & CONICET North American + 0.a1a2a3 . . . where infinitely many of the ak are not equal to b - 1. Ver´onica Becher Constructing´onica Becher Constructing normal numbers 2 / 34 #12;Normal numbers Definition (Borel, 1909) A real number x
On normal numbers Veronica Becher
Becher, Verónica
On normal numbers Ver´onica Becher Universidad de Buenos Aires & CONICET Coloquio del Departamento´onica Becher On normal numbers 1 / 33 #12;Normal numbers Normality is a basic form of randomness for real infinitely many of the ak are not equal to b - 1. Ver´onica Becher On normal numbers 1 / 33 #12;Normal
THE AMAZING NUMBER PETER BORWEIN
California at Santa Cruz, University of
THE AMAZING NUMBER #5; PETER BORWEIN Abstract. This text accompanies an address given tradition of intellectual inquiry associated with understanding the number #25; and numbers generally BORWEIN The amazing number #25;: The history of #25; parallels virtually the entire history of Mathematics
HOPF ALGEBRAS AND TRANSCENDENTAL NUMBERS
HOPF ALGEBRAS AND TRANSCENDENTAL NUMBERS Michel Waldschmidt UniversitÂ´e P. et M. Curie (Paris VI clear, but we point out that it already plays a role in transcendental number theory: StÂ´ephane Fischler-Lindemann). If is a non-zero algebraic number, then e is a transcendental number. Equivalently, if is a non
Characteristic numbers of algebraic varieties.
Kotschick, D
2009-06-23
A rational linear combination of Chern numbers is an oriented diffeomorphism invariant of smooth complex projective varieties if and only if it is a linear combination of the Euler and Pontryagin numbers. In dimension at least 3, only multiples of the top Chern number, which is the Euler characteristic, are invariant under diffeomorphisms that are not necessarily orientation preserving. In the space of Chern numbers, there are 2 distinguished subspaces, one spanned by the Euler and Pontryagin numbers, and the other spanned by the Hirzebruch-Todd numbers. Their intersection is the span of the Euler number and the signature. PMID:19509341
Dettlaff, Magda; Yero, Ismael G
2012-01-01
The bondage number $b(G)$ of a nonempty graph $G$ is the cardinality of a smallest set of edges whose removal from $G$ results in a graph with domination number greater than the domination number of $G$. Here we study the bondage number of some grid-like graphs. In this sense, we obtain some bounds or exact values of the bondage number of some Cartesian product, strong product or direct product of two paths.
Divisibility - Prime and Composite Numbers
NSDL National Science Digital Library
Mrs. Harris
2007-11-05
Learn how to tell if a number is divisible by 2, 3, 5, 6, 9, or 10. Learn about prime and composite numbers This is a PowerPoint teaching Divisibility rules PowerPoint on Divisibility Have fun practicing divisibility! Divisibility Rules Practice Prime Factorization with this Factor Tree. Factor Tree You can be a Prime Number Cop while you play this game. Catch those prime numbers! Number Cop ...
Prime numbers: periodicity, chaos, noise
A. Bershadskii
2011-05-09
Logarithmic gaps have been used in order to find a periodic component of the sequence of prime numbers, hidden by a random noise (stochastic or chaotic). The recovered period for the sequence of the first 10000 prime numbers is equal to 8\\pm1 (subject to the prime number theorem). For small and moderate values of the prime numbers (first 2000 prime numbers) this result has been directly checked using the twin prime killing method.
May, J. Peter
DIRICHLET PRIME NUMBER THEOREM JING MIAO Abstract. In number theory, the prime number theory describes the asymp- totic distribution of prime numbers. We all know that there are infinitely many primes a and d, there are infinitely many primes which are congruent to a modulo d. A stronger form of Dirichlet
96. RECTIFIER NUMBER 1 AND RECTIFIER NUMBER 2 ON EAST ...
96. RECTIFIER NUMBER 1 AND RECTIFIER NUMBER 2 ON EAST WALL OF LANDLINE INSTRUMENTATION ROOM (106), LSB (BLDG. 770) - Vandenberg Air Force Base, Space Launch Complex 3, Launch Pad 3 West, Napa & Alden Roads, Lompoc, Santa Barbara County, CA
Truly Hypercomplex Numbers: Unification of Numbers and Vectors
Redouane Bouhennache
2014-09-15
Since the beginning of the quest of hypercomplex numbers in the late eighteenth century, many hypercomplex number systems have been proposed but none of them succeeded in extending the concept of complex numbers to higher dimensions. This paper provides a definitive solution to this problem by defining the truly hypercomplex numbers of dimension N greater than or equal to 3. The secret lies in the definition of the multiplicative law and its properties. This law is based on spherical and hyperspherical coordinates. These numbers which I call spherical and hyperspherical hypercomplex numbers define Abelian groups over addition and multiplication. Nevertheless, the multiplicative law generally does not distribute over addition, thus the set of these numbers equipped with addition and multiplication does not form a mathematical field. However, such numbers are expected to have a tremendous utility in mathematics and in science in general.
15. Stress Sheet, Truss number 2, span number 6, Superior ...
15. Stress Sheet, Truss number 2, span number 6, Superior Avenue viaduct. Drawing courtesy Engineering Dept., City of Cleveland. - Superior Avenue Viaduct, Cleveland East & West side, Cuyahoga Valley Vicinity, Cleveland, Cuyahoga County, OH
The bondage numbers of graphs with small crossing numbers
Jia Huang; Jun-ming Xu
2007-01-01
The bondage number b(G) of a nonempty graph G is the cardinality of a smallest edge set whose removal from G results in a graph with domination number greater than the domination number (G) of G. Kang and Yuan proved b(G) 8 for every connected planar graph G. Fischermann, Rautenbach and Volkmann obtained some further results for connected planar graphs.
Concatenated Fibonacci and Lucas numbers do not form normal numbers
Mendonça, J Ricardo G
2011-01-01
We show that the infinite decimal numbers $\\mathcal{F} = 0.F_{1}F_{2}F_{3}...$ and $\\mathcal{L} = 0.L_{1}L_{2}L_{3}...$ obtained by concatenating respectively the Fibonacci and the Lucas numbers for their fractional parts are not normal numbers to base 10.
Feeling Number: Grounding Number Sense in a Sense of Quantity
ERIC Educational Resources Information Center
Wagner, David; Davis, Brent
2010-01-01
Drawing on results from psychology and from cultural and linguistic studies, we argue for an increased focus on developing quantity sense in school mathematics. We explore the notion of "feeling number", a phrase that we offer in a twofold sense--resisting tendencies to feel numb-er (more numb) by developing a feeling for numbers and the…
Elementary Number Theory GCD, Fermat, Euler, CRT Elementary Number Theory
Elementary Number Theory GCD, Fermat, Euler, CRT Elementary Number Theory C¸etin Kaya Ko¸c koc, Fermat, Euler, CRT Number Systems and Sets We represent the set of integers as Z = {. . . , -3, -2, -1, 0, Fermat, Euler, CRT GCD and Euclidean Algorithm The greatest common divisor of two integers can
How Spencer Made Number: First Uses of the Number Words
ERIC Educational Resources Information Center
Mix, Kelly S.
2009-01-01
This article describes the development of number concepts between infancy and early childhood. It is based on a diary study that tracked number word use in a child from 12 to 38 months of age. Number words appeared early in the child's vocabulary, but accurate reference to specific numerosities evolved gradually over the entire 27-month period.…
Fluctuations The number density is the number of molecules per
Alexeenko, Alina
Fluctuations The number density is the number of molecules per unit volume of gas. We can find in the classroom. The number of molecules in it will vary at any given moment of time because molecules go of molecules in 1 m3 volume. We'll derive the distribution function for X or, in other words, we will find how
Poison control center - emergency number
... ANYWHERE IN THE UNITED STATES This national hotline number will let you talk to experts in poisoning. ... centers in the United States use this national number. You should call if you have any questions ...
Number games, magnitude representation, and basic number skills in preschoolers.
Whyte, Jemma Catherine; Bull, Rebecca
2008-03-01
The effect of 3 intervention board games (linear number, linear color, and nonlinear number) on young children's (mean age = 3.8 years) counting abilities, number naming, magnitude comprehension, accuracy in number-to-position estimation tasks, and best-fit numerical magnitude representations was examined. Pre- and posttest performance was compared following four 25-min intervention sessions. The linear number board game significantly improved children's performance in all posttest measures and facilitated a shift from a logarithmic to a linear representation of numerical magnitude, emphasizing the importance of spatial cues in estimation. Exposure to the number card games involving nonsymbolic magnitude judgments and association of symbolic and nonsymbolic quantities, but without any linear spatial cues, improved some aspects of children's basic number skills but not numerical estimation precision. PMID:18331146
ERIC Educational Resources Information Center
Wagner, Johannes, Ed.
1998-01-01
The eight titles in this document include the following: "Comprehension and Input Processing as Useful Terms in the Field of SLA" (number 28) (Teresa Cadierno); "On the Role of Instruction in SLA: Research Results and Theoretical Explanations" (number 29) (Teresa Cadierno); "Can Writing Be Taught" (number 30) (Stuart Greene); "Academic Listening"…
Generalities Low Mach number limit
Gentil, Ivan
Generalities Low Mach number limit Bathymetry effect or heterogeneities in pressure law. Singular #12;Generalities Low Mach number limit Bathymetry effect or heterogeneities in pressure law. Outline 1 perturbations and heterogenities #12;Generalities Low Mach number limit Bathymetry effect or heterogeneities
Data Compression with Prime Numbers
Gordon Chalmers
2005-11-16
A compression algorithm is presented that uses the set of prime numbers. Sequences of numbers are correlated with the prime numbers, and labeled with the integers. The algorithm can be iterated on data sets, generating factors of doubles on the compression.
The Algebra of Complex Numbers.
ERIC Educational Resources Information Center
LePage, Wilbur R.
This programed text is an introduction to the algebra of complex numbers for engineering students, particularly because of its relevance to important problems of applications in electrical engineering. It is designed for a person who is well experienced with the algebra of real numbers and calculus, but who has no experience with complex number…
ERIC Educational Resources Information Center
Huang, Yi Ting; Spelke, Elizabeth; Snedeker, Jesse
2013-01-01
Number words are generally used to refer to the exact cardinal value of a set, but cognitive scientists disagree about their meanings. Although most psychological analyses presuppose that numbers have exact semantics ("two" means exactly two), many linguistic accounts propose that numbers have lower-bounded semantics (at least two), and…
Random Numbers and Quantum Computers
ERIC Educational Resources Information Center
McCartney, Mark; Glass, David
2002-01-01
The topic of random numbers is investigated in such a way as to illustrate links between mathematics, physics and computer science. First, the generation of random numbers by a classical computer using the linear congruential generator and logistic map is considered. It is noted that these procedures yield only pseudo-random numbers since…
ERIC Educational Resources Information Center
Jue, Brian
2010-01-01
Separate a three-digit number into its component digits. After raising each digit to the third power and computing the sum of the cubes, determine how often the original number reappears. Modular arithmetic is used to reduce the number of potential solutions to a more manageable quantity. (Contains 4 tables.)
REQUEST FOR TEMPORARY ID NUMBER
Arnold, Jonathan
REQUEST FOR TEMPORARY ID NUMBER AFFILIATE RETURN TO: UGACard Office 309 Tate Student Center Phone but are not eligible for a UGA identification card. These individuals may be eligible for a UGA ID number in order to apply for on-campus parking or other services that may require a UGA identification number. No ID card
ERIC Educational Resources Information Center
Fletcher, Rodney
2008-01-01
This article presents a guided investigation into the spacial relationships between the centres of the squares in a Fibonacci tiling. It is essentially a lesson in number pattern, but includes work with surds, coordinate geometry, and some elementary use of complex numbers. The investigation could be presented to students in a number of ways…
NSDL National Science Digital Library
Miss Stringfield
2008-11-17
Let\\'s make sure we can recognize our numbers 0-10! Watch them swim by and Count the Fish! Let\\'s catch some fish in our very own Fishing Mission! A number is missing! Can you help Find the Missing Number? ...
Some Ideas About Number Theory.
ERIC Educational Resources Information Center
Barnett, I. A.
The material in this booklet is designed for non-professional mathematicians who have an interest in the theory of numbers. The author presents some elementary results of number theory without involving detailed proofs. Much of the material has direct application for secondary school mathematics teachers. A brief account of the nature of number…
Transcendental L2 -Betti numbers
Sunder, V S
Transcendental L2 -Betti numbers Atiyah's question Thomas Schick GÂ¨ottingen OA Chennai 2010 Thomas Schick (GÂ¨ottingen) Transcendental L2 -Betti numbers Atiyah's question OA Chennai 2010 1 / 24 #12). Thomas Schick (GÂ¨ottingen) Transcendental L2 -Betti numbers Atiyah's question OA Chennai 2010 2 / 24 #12
Linear or Exponential Number Lines
ERIC Educational Resources Information Center
Stafford, Pat
2011-01-01
Having decided to spend some time looking at one's understanding of numbers, the author was inspired by "Alex's Adventures in Numberland," by Alex Bellos to look at one's innate appreciation of number. Bellos quotes research studies suggesting that an individual's natural appreciation of numbers is more likely to be exponential rather than linear,…
On rings of structural numbers
Powell, Wayne Bruce
1973-01-01
is the multiplicative identity element. I Ne tur'n now to an alternative approach to structural numbers given by Simson [9]. Definition 1. 6. Let X be any set and denote by F(X) the set of all finite subsets of X. Any finite subset of F(X) is called a structural... A e S(X) can be expressed as the sum of singleton structural numbers, that is, structural numbers of the form (y) where y e F(X). Also, any singleton structural number is the product of si ngletons of si ngletons {i . e . , of structural numbers...
ERIC Educational Resources Information Center
Sasanguie, Delphine; Gobel, Silke M.; Moll, Kristina; Smets, Karolien; Reynvoet, Bert
2013-01-01
In this study, the performance of typically developing 6- to 8-year-old children on an approximate number discrimination task, a symbolic comparison task, and a symbolic and nonsymbolic number line estimation task was examined. For the first time, children's performances on these basic cognitive number processing tasks were explicitly contrasted…
Children's mappings between number words and the approximate number system.
Odic, Darko; Le Corre, Mathieu; Halberda, Justin
2015-05-01
Humans can represent number either exactly--using their knowledge of exact numbers as supported by language, or approximately--using their approximate number system (ANS). Adults can map between these two systems--they can both translate from an approximate sense of the number of items in a brief visual display to a discrete number word estimate (i.e., ANS-to-Word), and can generate an approximation, for example by rapidly tapping, when provided with an exact verbal number (i.e., Word-to-ANS). Here we ask how these mappings are initially formed and whether one mapping direction may become functional before the other during development. In two experiments, we gave 2-5 year old children both an ANS-to-Word task, where they had to give a verbal number response to an approximate presentation (i.e., after seeing rapidly flashed dots, or watching rapid hand taps), and a Word-to-ANS task, where they had to generate an approximate response to a verbal number request (i.e., rapidly tapping after hearing a number word). Replicating previous results, children did not successfully generate numerically appropriate verbal responses in the ANS-to-Word task until after 4 years of age--well after they had acquired the Cardinality Principle of verbal counting. In contrast, children successfully generated numerically appropriate tapping sequences in the Word-to-ANS task before 4 years of age--well before many understood the Cardinality Principle. We further found that the accuracy of the mapping between the ANS and number words, as captured by error rates, continues to develop after this initial formation of the interface. These results suggest that the mapping between the ANS and verbal number representations is not functionally bidirectional in early development, and that the mapping direction from number representations to the ANS is established before the reverse. PMID:25721021
Multiplying Fractions and Mixed Numbers
NSDL National Science Digital Library
2010-07-19
This lesson is designed to reinforce skills associated with multiplying fractions and mixed numbers and allow students to visualize the effects of multiplying by a fraction or mixed number. Students review the concepts of fractions and mixed numbers and how to multiply them, and use an interactive applet to visualize what happens to a whole number when it is multiplied by a fraction or mixed number. Students then answer questions from the Multiplying Fractions Worksheet (Flesch-Kincaid reading level = 5.3) to encourage them to look closely at the patterns created. As independent practice, students complete the Multiplying Mixed Numbers Worksheet (Flesch-Kincaid reading level = 5.7). A teacher/student discussion outline and instructions for leading guided practice are included.
Dynamic Virtual Credit Card Numbers
NASA Astrophysics Data System (ADS)
Molloy, Ian; Li, Jiangtao; Li, Ninghui
Theft of stored credit card information is an increasing threat to e-commerce. We propose a dynamic virtual credit card number scheme that reduces the damage caused by stolen credit card numbers. A user can use an existing credit card account to generate multiple virtual credit card numbers that are either usable for a single transaction or are tied with a particular merchant. We call the scheme dynamic because the virtual credit card numbers can be generated without online contact with the credit card issuers. These numbers can be processed without changing any of the infrastructure currently in place; the only changes will be at the end points, namely, the card users and the card issuers. We analyze the security requirements for dynamic virtual credit card numbers, discuss the design space, propose a scheme using HMAC, and prove its security under the assumption the underlying function is a PRF.
Quantum Random Number Generator using Photon-Number Path Entanglement
Osung Kwon; Young-Wook Cho; Yoon-Ho Kim
2008-08-04
We report a novel quantum random number generator based on the photon-number$-$path entangled state which is prepared via two-photon quantum interference at a beam splitter. The randomness in our scheme is of truly quantum mechanical origin as it comes from the projection measurement of the entangled two-photon state. The generated bit sequences satisfy the standard randomness test.
Bondage number of planar graphs
Liying Kang; Jinjiang Yuan
2000-01-01
The bondage number b(G) of a nonempty graph G is the cardinality of a smallest set of edges whose removal from G results in a graph with a domination number greater than the domination number of G. In this paper, we prove that b(G)?min{8,?(G)+2} for a planar graph G and b(G)?3 for a graph G with forbidden minor K4.
Partial derivative of love numbers
Shuhei Okubo; Masanori Saito
1983-01-01
We present a simple formula for the partial derivatives of Love numbers with respect to density, bulk modulus and rigidity\\u000a without urging the Adams-Williamson condition in the liquid core. Partials of the second degree Love numbers are computed\\u000a for model 1066 A. Love numbers prove to be either completely or virtually independent of the elastic profile within the whole\\u000a core.
Gerardo Iovane
2007-09-11
In this work we show that the prime distribution is deterministic. Indeed the set of prime numbers P can be expressed in terms of two subsets of N using three specific selection rules, acting on two sets of prime candidates. The prime candidates are obtained in terms of the first perfect number. The asymptotic behaviour is also considered. We obtain for the first time an explicit relation for generating the full set P of prime numbers smaller than n or equal to n.
Familial Sinistrals Avoid Exact Numbers
Sauerland, Uli; Gotzner, Nicole
2013-01-01
We report data from an internet questionnaire of sixty number trivia. Participants were asked for the number of cups in their house, the number of cities they know and 58 other quantities. We compare the answers of familial sinistrals – individuals who are left-handed themselves or have a left-handed close blood-relative – with those of pure familial dextrals – right-handed individuals who reported only having right-handed close blood-relatives. We show that familial sinistrals use rounder numbers than pure familial dextrals in the survey responses. Round numbers in the decimal system are those that are multiples of powers of 10 or of half or a quarter of a power of 10. Roundness is a gradient concept, e.g. 100 is rounder than 50 or 200. We show that very round number like 100 and 1000 are used with 25% greater likelihood by familial sinistrals than by pure familial dextrals, while pure familial dextrals are more likely to use less round numbers such as 25, 60, and 200. We then use Sigurd’s (1988, Language in Society) index of the roundness of a number and report that familial sinistrals’ responses are significantly rounder on average than those of pure familial dextrals. To explain the difference, we propose that the cognitive effort of using exact numbers is greater for the familial sinistral group because their language and number systems tend to be more distributed over both hemispheres of the brain. Our data support the view that exact and approximate quantities are processed by two separate cognitive systems. Specifically, our behavioral data corroborates the view that the evolutionarily older, approximate number system is present in both hemispheres of the brain, while the exact number system tends to be localized in only one hemisphere. PMID:23544052
Familial sinistrals avoid exact numbers.
Sauerland, Uli; Gotzner, Nicole
2013-01-01
We report data from an internet questionnaire of sixty number trivia. Participants were asked for the number of cups in their house, the number of cities they know and 58 other quantities. We compare the answers of familial sinistrals--individuals who are left-handed themselves or have a left-handed close blood-relative--with those of pure familial dextrals--right-handed individuals who reported only having right-handed close blood-relatives. We show that familial sinistrals use rounder numbers than pure familial dextrals in the survey responses. Round numbers in the decimal system are those that are multiples of powers of 10 or of half or a quarter of a power of 10. Roundness is a gradient concept, e.g. 100 is rounder than 50 or 200. We show that very round number like 100 and 1000 are used with 25% greater likelihood by familial sinistrals than by pure familial dextrals, while pure familial dextrals are more likely to use less round numbers such as 25, 60, and 200. We then use Sigurd's (1988, Language in Society) index of the roundness of a number and report that familial sinistrals' responses are significantly rounder on average than those of pure familial dextrals. To explain the difference, we propose that the cognitive effort of using exact numbers is greater for the familial sinistral group because their language and number systems tend to be more distributed over both hemispheres of the brain. Our data support the view that exact and approximate quantities are processed by two separate cognitive systems. Specifically, our behavioral data corroborates the view that the evolutionarily older, approximate number system is present in both hemispheres of the brain, while the exact number system tends to be localized in only one hemisphere. PMID:23544052
NASA Astrophysics Data System (ADS)
Kadak, U?ur; Ba?ar, Feyzi
2010-11-01
Following Talo and Ba?ar [Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations, Comput. Math. Appl. 58(2009), 717-733], we essentially deal with the power series of fuzzy numbers with real or fuzzy coefficients. We consider the different cases of power series of fuzzy numbers to be convergent and give the theorem on the term by term differentiation of power series of fuzzy numbers. Finally, we present a result on the Taylor expansion of a fuzzy valued function.
DIAGNOSIS NUMBER OF CASES CARDIOVASCULAR
Ullrich, Paul
/Plant/worms...........................14 Liver disease ......................................................14 Liver tumorDIAGNOSIS NUMBER OF CASES CARDIOVASCULAR Cardiovascular disease .........................................................36 Crop Disorder.....................................................12 Digestive Disease
Compendium of Experimental Cetane Numbers
Yanowitz, J.; Ratcliff, M. A.; McCormick, R. L.; Taylor, J. D.; Murphy, M. J.
2014-08-01
This report is an updated version of the 2004 Compendium of Experimental Cetane Number Data and presents a compilation of measured cetane numbers for pure chemical compounds. It includes all available single compound cetane number data found in the scientific literature up until March 2014 as well as a number of unpublished values, most measured over the past decade at the National Renewable Energy Laboratory. This Compendium contains cetane values for 389 pure compounds, including 189 hydrocarbons and 201 oxygenates. More than 250 individual measurements are new to this version of the Compendium. For many compounds, numerous measurements are included, often collected by different researchers using different methods. Cetane number is a relative ranking of a fuel's autoignition characteristics for use in compression ignition engines; it is based on the amount of time between fuel injection and ignition, also known as ignition delay. The cetane number is typically measured either in a single-cylinder engine or a constant volume combustion chamber. Values in the previous Compendium derived from octane numbers have been removed, and replaced with a brief analysis of the correlation between cetane numbers and octane numbers. The discussion on the accuracy and precision of the most commonly used methods for measuring cetane has been expanded and the data has been annotated extensively to provide additional information that will help the reader judge the relative reliability of individual results.
Correlations between large prime numbers
A. Bershadskii
2011-01-13
It is shown that short-range correlations between large prime numbers (~10^5 and larger) have a Poissonian nature. Correlation length \\zeta = 4.5 for the primes ~10^5 and it is increasing logarithmically according to the prime number theorem. For moderate prime numbers (~10^4) the Poissonian distribution is not applicable while the correlation length surprisingly continues to follow to the logarithmical law. A chaotic (deterministic) hypothesis has been suggested to explain the moderate prime numbers apparent randomness.
Toddlers' Spontaneous Attention to Number
ERIC Educational Resources Information Center
Baroody, Arthur J.; Li, Xia; Lai, Meng-lung
2008-01-01
Hannula and Lehtinen (2001, 2005) defined spontaneous focusing on numerosity (SFON) as the tendency to notice the relatively abstract attribute of number despite the presence of other attributes. According to nativists, an innate concept of one to three directs young children's attention to these "intuitive numbers" in everyday situations--even…
Account Number Citation Reappeal Form
Massachusetts at Amherst, University of
150106 Account Number Citation Reappeal Form Parking Services, University of Massachusetts, Amherst://parking.umass.edu Email: parking@umass.edu Appeals must be received within 14 days of citation issuance and may be filed. ________________________________________________________________________________________________________ Citation #:___________________________ Date Issued: _____ / _____ / ____________ State/Plate Number
Number Talks Build Numerical Reasoning
ERIC Educational Resources Information Center
Parrish, Sherry D.
2011-01-01
"Classroom number talks," five- to fifteen-minute conversations around purposefully crafted computation problems, are a productive tool that can be incorporated into classroom instruction to combine the essential processes and habits of mind of doing math. During number talks, students are asked to communicate their thinking when presenting and…
Quick Images: Visualizing Number Combinations
NSDL National Science Digital Library
2012-01-01
In this 6-minute video kindergarten teacher Stephanie Latimer describes and models techniques for developing children's number sense and visual recognition of number combinations. After quickly displaying groups of objects on a ten frame, she asks her students to describe the ways that they see the objects grouped. The resource includes reflection questions for viewers and a transcript of the video (doc).
Distance Effects in Number Agreement
ERIC Educational Resources Information Center
Schweppe, Judith
2013-01-01
One pronoun production experiment and one pronoun comprehension experiment were performed to investigate the role of grammatical number information in long-distance anaphora, with referent and pronoun either in adjacent sentences or separated by an intervening sentence. The experiments tested the assumption that the influence of grammatical number…
Building Buildings with Triangular Numbers
ERIC Educational Resources Information Center
Pagni, David L.
2006-01-01
Triangular numbers are used to unravel a new sequence of natural numbers here-to-fore not appearing on the Encyclopedia of Integer Sequences website. Insight is provided on the construction of the sequence using "buildings" as a viewable model of the sequence entries. A step-by-step analysis of the sequence pattern reveals a method for generating…
Figurate Numbers in the Classroom.
ERIC Educational Resources Information Center
Norman, F. Alexander
1991-01-01
A series of activities involving figurate numbers that allow students at various levels to integrate numerical, geometric, arithmetic, patterning, measuring, and problem-solving skills are presented. A discussion of the geometric and numerical aspects of figurate numbers is included. Appended are IBM Logo procedures that will create pentagonal…
OFFICE USE ONLY Reference number
of $ Credit or Debit Card Please debit my card to the sum of $ Card number Expiration date M M / Y Y Y Y a student; provide a venue or an internship) B. Recurring Gifts By Credit or Debit Card Please debit my card Y Y (please specify) Card number Expiration date M M / Y Y Y Y Your credit or debit card
Measuring Distance of Fuzzy Numbers by Trapezoidal Fuzzy Numbers
NASA Astrophysics Data System (ADS)
Hajjari, Tayebeh
2010-11-01
Fuzzy numbers and more generally linguistic values are approximate assessments, given by experts and accepted by decision-makers when obtaining value that is more accurate is impossible or unnecessary. Distance between two fuzzy numbers plays an important role in linguistic decision-making. It is reasonable to define a fuzzy distance between fuzzy objects. To achieve this aim, the researcher presents a new distance measure for fuzzy numbers by means of improved centroid distance method. The metric properties are also studied. The advantage is the calculation of the proposed method is far simple than previous approaches.
Talmi, Igal [Weizmann Institute of Science, Rehovot (Israel)
2008-11-11
The discovery of magic numbers led to the shell model. They indicated closure of major shells and are robust: proton magic numbers are rather independent of the occupation of neutron orbits and vice versa. Recently the magic property became less stringent and we hear a lot about the discovery of new magic numbers. These, however, indicate sub-shell closures and strongly depend on occupation numbers and hence, may be called quasi-magic numbers. Some of these have been known for many years and the mechanism for their appearance as well as disappearance, was well understood within the simple shell model. The situation will be illustrated by a few examples which demonstrate the simple features of the shell model. Will this simplicity emerge from the complex computations of nuclear many-body theory?.
Automated serial number recognition system
NASA Astrophysics Data System (ADS)
Wang, Hui; Bao, Xudong; Luo, Limin; Lv, Guoqiang
2003-05-01
Serial number plays an important role in the manufacturing and managing processes to identify the industry products, and automatic recognition of the serial number has become an essential step in modern industries. The limits of manufacture condition in factories and the requirement of real-time operation, however, make the design of a practical automatic serial number recognition system a difficult task. We developed a novel automatic serial number recognition system for railway wheel products, which has been successfully used in real production lines. This system uses visual inspection approaches to automatically recognize the serial numbers in real-time. The flexibility and low cost of the system make it very suitable for the applications described in this paper.
RNG: A Practitioner's Overview Random Number Generation
Mascagni, Michael
RNG: A Practitioner's Overview Random Number Generation A Practitioner's Overview Prof. Michael and Monte Carlo Methods Pseudorandom number generation Types of pseudorandom numbers Properties of these pseudorandom numbers Parallelization of pseudorandom number generators New directions for SPRNG Quasirandom
Reynolds number influences in aeronautics
NASA Technical Reports Server (NTRS)
Bushnell, Dennis M.; Yip, Long P.; Yao, Chung-Sheng; Lin, John C.; Lawing, Pierce L.; Batina, John T.; Hardin, Jay C.; Horvath, Thomas J.; Fenbert, James W.; Domack, Christopher S.
1993-01-01
Reynolds number, a measure of the ratio of inertia to viscous forces, is a fundamental similarity parameter for fluid flows and therefore, would be expected to have a major influence in aerodynamics and aeronautics. Reynolds number influences are generally large, but monatomic, for attached laminar (continuum) flow; however, laminar flows are easily separated, inducing even stronger, non-monatomic, Reynolds number sensitivities. Probably the strongest Reynolds number influences occur in connection with transitional flow behavior. Transition can take place over a tremendous Reynolds number range, from the order of 20 x 10(exp 3) for 2-D free shear layers up to the order of 100 x 10(exp 6) for hypersonic boundary layers. This variability in transition behavior is especially important for complex configurations where various vehicle and flow field elements can undergo transition at various Reynolds numbers, causing often surprising changes in aerodynamics characteristics over wide ranges in Reynolds number. This is further compounded by the vast parameterization associated with transition, in that any parameter which influences mean viscous flow development (e.g., pressure gradient, flow curvature, wall temperature, Mach number, sweep, roughness, flow chemistry, shock interactions, etc.), and incident disturbance fields (acoustics, vorticity, particulates, temperature spottiness, even electro static discharges) can alter transition locations to first order. The usual method of dealing with the transition problem is to trip the flow in the generally lower Reynolds number wind tunnel to simulate the flight turbulent behavior. However, this is not wholly satisfactory as it results in incorrectly scaled viscous region thicknesses and cannot be utilized at all for applications such as turbine blades and helicopter rotors, nacelles, leading edge and nose regions, and High Altitude Long Endurance and hypersonic airbreathers where the transitional flow is an innately critical portion of the problem.
Hyperbolic double-complex numbers
NASA Astrophysics Data System (ADS)
Apostolova, L. N.; Krastev, K. I.; Kiradjiev, B.
2009-11-01
The algebra of bicomplex numbers and the corresponding bicomplex holomorphic functions are well known ([1] and others). The hyperbolic bicomplex numbers were used by Dominic Rochon in different aspects (for instance [2]). The algebra of double-complex numbers (in the sense of [3]) gives a parallel treatement closely related with the classical theory of two complex variables (to see [4]). The double-complex holomorphicity and its fundamental equations were studied in [5] and [6]. In this paper we consider hyperbolic double-complex functions. The corresponding hyperbolic analogous of the double-complex Cauchy-Riemann system and the double-complex Laplacian are obtained. Some perspectives are described.
Large Number Hypothesis: A Review
Saibal Ray; Utpal Mukhopadhyay; Partha Pratim Ghosh
2007-05-13
Large dimensionless numbers, arising out of ratios of various physical constants, intrigued many scientists, especially Dirac. Relying on the coincidence of large numbers, Dirac arrived at the revolutionary hypothesis that the gravitational constant $G$ should vary inversely as the cosmic time $t$. This hypothesis of Dirac, known as Large Number Hypothesis (LNH), sparked off many speculations, arguments and new ideas in terms of applications. Works done by several authors with LNH as their basic platform are reviewed in this work. Relationship between some of those works are pointed out here. Possibility of time-variations of physical constants other than $G$ are also discussed.
BKP and projective Hurwitz numbers
Natanzon, Sergei
2015-01-01
We consider $d$-fold branched coverings of the projective plane $\\mathbb{RP}^2$ and show that the hypergeometric tau function of the BKP hierarchy of Kac and van de Leur is the generating function for the weighted sums of the related Hurwitz numbers. In particular we get the $\\mathbb{RP}^2$ analogue of the $\\mathbb{CP}^1$ generating functions proposed by Okounkov. Hurwitz numbers weighted by the Hall-Littlewood and by the Macdonald polynomials are the other examples. We also consider integrals of tau functions which generate projective Hurwitz numbers.
Numbered nasal discs for waterfowl
Bartonek, J.C.; Dane, C.W.
1964-01-01
Numbered nasal discs were successfully used in studies requiring large numbers of individually marked waterfowl. The procedure for constructing these discs is outlined. Blue-winged teal (Anas discors) with 5/8-inch discs, and canvasback (Aythya valisineria) and redhead (A. americana) with 3/4-inch discs can be individually identified up to 50 and 80 yards, respectively, with a gunstock-mounted, 20-power spotting scope. The particular value of these markers is their durability, the number of combinations possible, and the apparent absence of behavioral or mortality influence among such species as the blue-winged teal.
Student Medical Certificate STUDENT NUMBER: ______________________
Basu, Shantanu
Student Medical Certificate STUDENT NUMBER: ______________________ I. TO BE COMPLETED BY STUDENT: I that the student "was seen for medical reasons" or "was ill."] : [Note to Physician/Nurse Practitioner: I hereby
Microcomputer Unit: Generating Random Numbers.
ERIC Educational Resources Information Center
Haigh, William E.
1986-01-01
Presents an activity, suitable for students in grades 6-12, on generating random numbers. Objectives, equipment needed, list of prerequisite experiences, instructional strategies, and ready-to-copy student worksheets are included. (JN)
Fibonacci Numbers and the Spreadsheet.
ERIC Educational Resources Information Center
Verderber, Nadine L.
1991-01-01
Described is a classroom activity incorporating a computer spreadsheet to study number patterns generated by the Fibonacci sequence. Included are examples and suggestions for the use of the spreadsheet in other recursive relationships. (JJK)
Avogadro's Number and Avogadro's Constant
ERIC Educational Resources Information Center
Davies, R. O.
1973-01-01
Discusses three possible methods of thinking about the implications of the definitions of the Avogadro constant and number. Indicates that there is only one way to arrive at a simple and standard conclusion. (CC)
NSDL National Science Digital Library
2013-01-31
This whole-class lesson will reinforce the concept of comparing two 3-digit numbers as well as provide practice for students to become comparing experts. Students will use playing cards to practice their skills.
Andrews, George E; Gawronski, Wolfgang; Littlejohn, Lance L
2011-01-01
The Jacobi-Stirling numbers were discovered as a result of a problem involving the spectral theory of powers of the classical second-order Jacobi differential expression. Specifically, these numbers are the coefficients of integral composite powers of the Jacobi expression in Lagrangian symmetric form. Quite remarkably, they share many properties with the classical Stirling numbers of the second kind which, as shown in LW, are the coefficients of integral powers of the Laguerre differential expression. In this paper, we establish several properties of the Jacobi-Stirling numbers and its companions including combinatorial interpretations thereby extending and supplementing known contributions to the literature of Andrews-Littlejohn, Andrews-Gawronski-Littlejohn, Egge, Gelineau-Zeng, and Mongelli.
NSDL National Science Digital Library
Nicola Godwin
2012-01-01
This page provides examples of 4th Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 4th Grade Number Activities listed are in PDF format.
NSDL National Science Digital Library
Nicola Godwin
2012-01-01
This page provides examples of 5th Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 5th Grade Number Activities listed are in PDF format.
1 and prime numbers - Numberphile
NSDL National Science Digital Library
James Grime
2012-02-03
In this 5.5 minute video Dr James Grime (Cambridge University, UK) explains why mathematicians don't classify the number 1 as a prime. He includes historical background and an explanation of the Fundamental Theorem of Arithmetic.
Atomic Structure - A Numbers Game
ERIC Educational Resources Information Center
George, W. O.; Vincent, A.
1975-01-01
Emphasizes the simplicity and elegance of early discoveries related to the hydrogen spectrum and provides an elementary experimental basis of quantum theory based on a "numbers game" which can be played by students. (Author/GS)
Young Students Investigate Number Cubes.
ERIC Educational Resources Information Center
Friedlander, Alex
1997-01-01
Describes a series of learning activities built around number cubes. Sample activities introduce elementary properties of the cube, the magic rule of seven, and basic concepts related to graphs in the plane coordinate system. (PVD)
Weyl numbers of diagonal matrices
NASA Astrophysics Data System (ADS)
Ismailov, Zameddin I.; Cona, Lale; ?evik, Elif Otkun; Guler, Bahadir O.
2014-08-01
In this work, a connection between Weyl numbers of the infinite diagonal matrix with linear bounded operator elements in the direct sum of Banach spaces and its coordinate operators has been investigated.
BIOINFORMATICS VOLUME 31, NUMBER 12
Brendel, Volker
BIOINFORMATICS VOLUME 31, NUMBER 12 JUNE 15, 2015 Contents ORIGINAL PAPERS Genome analysis Geno.Bahar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1929 Structural bioinformatics mFASD: a structure-based algorithm for discriminating different types
Poison control center - emergency number
For a POISON EMERGENCY call: 1-800-222-1222 ANYWHERE IN THE UNITED STATES This national hotline number will let you ... is a free and confidential service. All local poison control centers in the United States use this ...
Number Sense Games and Activities
NSDL National Science Digital Library
Mrs. Barker
2005-10-18
Students will select online games related to number sense and play them individually or with a partner Odd or Even Can you tell the difference between odd or even? Choose one of these games for some practice! Don\\'t be afraid. The ghosts in this game only haunt those who don\\'t know odd or even numbers. Surely that\\'s not YOU! Even Ghostblasters Odd Ghostblasters Odd/Even Building Game Counting Patterns I know you can count ...
Why are airport runways numbered?
NSDL National Science Digital Library
2012-01-01
This Figure This! activity provides students an opportunity to apply their knowledge of angles and compass directions to solve a problem in the context of airport runways. The introduction calls students' attention to the numbers assigned to both ends of runways. Students are asked to find a missing runway number. The activity includes links to a solution hint, the solution, related math questions, and additional resources.
Euclid's Number-Theoretical Work
Shaohua Zhang
2010-02-21
When people mention the mathematical achievements of Euclid, his geometrical achievements always spring to mind. But, his Number-Theoretical achievements (See Books 7, 8 and 9 in his magnum opus \\emph{Elements} [1]) are rarely spoken. The object of this paper is to affirm the number-theoretical role of Euclid and the historical significance of Euclid's algorithm. It is known that almost all elementary number-theoretical texts begin with Division algorithm. However, Euclid did not do like this. He began his number-theoretical work by introducing his algorithm. We were quite surprised when we began to read the \\emph{Elements} for the first time. Nevertheless, one can prove that Euclid's algorithm is essentially equivalent with the Bezout's equation and Division algorithm. Therefore, Euclid has preliminarily established Theory of Divisibility and the greatest common divisor. This is the foundation of Number Theory. After more than 2000 years, by creatively introducing the notion of congruence, Gauss published his \\emph{Disquisitiones Arithmeticae} in 1801 and developed Number Theory as a systematic science. Note also that Euclid's algorithm implies Euclid's first theorem (which is the heart of `the uniqueness part' of the fundamental theorem of arithmetic) and Euclid's second theorem (which states that there are infinitely many primes). Thus, in the nature of things, Euclid's algorithm is the most important number-theoretical work of Euclid. For this reason, we further summarize briefly the influence of Euclid's algorithm. Knuth said `we might call Euclid's method the granddaddy of all algorithms'. Based on our discussion and analysis, it leads to the conclusion Euclid's algorithm is the greatest number-theoretical achievement of the Euclidean age.
Entropy estimation and Fibonacci numbers
NASA Astrophysics Data System (ADS)
Timofeev, Evgeniy A.; Kaltchenko, Alexei
2013-05-01
We introduce a new metric on a space of right-sided infinite sequences drawn from a finite alphabet. Emerging from a problem of entropy estimation of a discrete stationary ergodic process, the metric is important on its own part and exhibits some interesting properties. Notably, the number of distinct metric values for a set of sequences of length m is equal to Fm+3 - 1, where Fm is a Fibonacci number.
Copy number variation and mutation
NASA Astrophysics Data System (ADS)
Clark, Brian; Weidner, Jacob; Wabick, Kevin
2009-11-01
Until very recently, the standard model of DNA included two genes for each trait. This dated model has given way to a model that includes copies of some genes well in excess of the canonical two. Copy number variations in the human genome play critical roles in causing or aggravating a number of syndromes and diseases while providing increased resistance to others. We explore the role of mutation, crossover, inversion, and reproduction in determining copy number variations in a numerical simulation of a population. The numerical model consists of a population of individuals, where each individual is represented by a single strand of DNA with the same number of genes. Each gene is initially assigned to one of two traits. Fitness of the individual is determined by the two most fit genes for trait one, and trait two genetic material is treated as a reservoir of junk DNA. After a sufficient number of generations, during which the genetic distribution is allowed to reach a steady-state, the mean numberof genes per trait and the copy number variation are recorded. Here, we focus on the role of mutation and compare simulation results to theory.
Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers
Shevelev, Vladimir; Velásquez-Soto, Juan Miguel; Castillo, John H
2012-01-01
We introduce a new class of pseudoprimes-so called "overpseudoprimes to base $b$", which is a subclass of strong pseudoprimes to base $b$. Denoting via $|b|_n$ the multiplicative order of $b$ modulo $n$, we show that a composite $n$ is overpseudoprime if and only if $|b|_d$ is invariant for all divisors $d>1$ of $n$. In particular, we prove that all composite Mersenne numbers $2^{p}-1$, where $p$ is prime, are overpseudoprime to base 2 and squares of Wieferich primes are overpseudoprimes to base 2. Finally, we show that some kinds of well known numbers are overpseudoprime to a base $b$.
Low magnetic Prandtl number dynamos
NASA Astrophysics Data System (ADS)
Montgomery, David; Mininni, Pablo
2005-11-01
Dynamo amplification by velocity fields in conducting fluids can be highly varied. Here [1] we study dynamos numerically in one of the most efficient flows found for exciting dynamo fields at low magnetic Reynolds numbers: ``Roberts flow,'' in which the large scales are driven helically in 3D periodic boundary conditions. Three qualitatively distinct regimes are identified, depending upon mechanical Reynolds number: steady-state laminar flow, mildly unstable periodic hydrodynamic flow, and fully turbulent hydrodynamic flow. A critical magnetic Reynolds number for dynamo amplification can be identified in all three regimes, and it plateaus as the inverse magnetic Prandtl number increases (paralleling earlier results for the ``Taylor-Green vortex'' flow). It is over five times higher in the turbulent velocity field regime than it is for the time-averaged flow for that turbulent velocity field. Explorations are carried out both in the linear (``kinematic dynamo'') and nonlinear regimes of incompressible MHD. Periodic boundary conditions appear as an undesirable limitation and we are attempting to dispense with them by a spectral method in which the fields are expanded in Chandrasekhar-Kendall spherical eigenfunctions of the curl. [1] P.D. Mininni and D.C. Montgomery, ``Low magnetic Prandtl number dynamos with helical forcing,'' submitted to Phys. Rev. E (2005). Arxiv: physics/0505192.
Are Number Gestures Easier than Number Words for Preschoolers?
ERIC Educational Resources Information Center
Nicoladis, Elena; Pika, Simone; Marentette, Paula
2010-01-01
Some researchers have argued that children's earliest symbols are based on their sensorimotor experience and that arbitrary symbol-referent mapping poses a challenge for them. If so, exposure to iconic symbols (such as one-finger-for-one-object manual gestures) might help children in a difficult domain such as number. We assessed 44 preschoolers'…
Number Meaning and Number Grammar in English and Spanish
ERIC Educational Resources Information Center
Bock, Kathryn; Carreiras, Manuel; Meseguer, Enrique
2012-01-01
Grammatical agreement makes different demands on speakers of different languages. Being widespread in the languages of the world, the features of agreement systems offer valuable tests of how language affects deep-seated domains of human cognition and categorization. Number agreement is one such domain, with intriguing evidence that typological…
On the Three Primordial Numbers
Gobbetti, Roberto; Roest, Diederik
2015-01-01
Cosmological observations have provided us with the measurement of just three numbers that characterize the very early universe: $ 1-n_{s} $, $ N $ and $\\ln\\Delta_R^2$. Although each of the three numbers individually carries limited information about the physics of inflation, one may hope to extract non-trivial information from relations among them. Invoking minimality, namely the absence of ad hoc large numbers, we find two viable and mutually exclusive inflationary scenarios. The first is the well-known inverse relation between $1- n_{s} $ and $ N $. The second implies a new relation between $ 1-n_{s} $ and $\\ln\\Delta_R^2$, which might provide us with a handle on the beginning of inflation and predicts the intriguing $\\textit{lower}$ bound on the tensor-to-scalar ratio $ r> 0.007 $ ($ 95\\% $ CL).
On the Three Primordial Numbers
Roberto Gobbetti; Enrico Pajer; Diederik Roest
2015-05-18
Cosmological observations have provided us with the measurement of just three numbers that characterize the very early universe: $ 1-n_{s} $, $ N $ and $\\ln\\Delta_R^2$. Although each of the three numbers individually carries limited information about the physics of inflation, one may hope to extract non-trivial information from relations among them. Invoking minimality, namely the absence of ad hoc large numbers, we find two viable and mutually exclusive inflationary scenarios. The first is the well-known inverse relation between $1- n_{s} $ and $ N $. The second implies a new relation between $ 1-n_{s} $ and $\\ln\\Delta_R^2$, which might provide us with a handle on the beginning of inflation and predicts the intriguing $\\textit{lower}$ bound on the tensor-to-scalar ratio $ r> 0.006 $ ($ 95\\% $ CL).
Stochastic Low Reynolds Number Swimmers
Ramin Golestanian; Armand Ajdari
2009-01-12
As technological advances allow us to fabricate smaller autonomous self-propelled devices, it is clear that at some point directed propulsion could not come from pre-specified deterministic periodic deformation of the swimmer's body and we need to develop strategies to extract a net directed motion from a series of random transitions in the conformation space of the swimmer. We present a theoretical formulation to describe the "stochastic motor" that drives the motion of low Reynolds number swimmers based on this concept, and use it to study the propulsion of a simple low Reynolds number swimmer, namely, the three-sphere swimmer model. When the detailed-balanced is broken and the motor is driven out of equilibrium, it can propel the swimmer in the required direction. The formulation can be used to study optimal design strategies for molecular-scale low Reynolds number swimmers.
On the three primordial numbers
NASA Astrophysics Data System (ADS)
Gobbetti, Roberto; Pajer, Enrico; Roest, Diederik
2015-09-01
Cosmological observations have provided us with the measurement of just three numbers that characterize the very early universe: 1?ns , N and ln ?R2. Although each of the three numbers individually carries limited information about the physics of inflation, one may hope to extract non-trivial information from relations among them. Invoking minimality, namely the absence of ad hoc large numbers, we find two viable and mutually exclusive inflationary scenarios. The first is the well-known inverse relation between 1? ns and N. The second implies a new relation between 1?ns and ln ?R2, which might provide us with a handle on the beginning of inflation and predicts the intriguing lower bound on the tensor-to-scalar ratio r > 0.006 (95% CL).
46 CFR 10.207 - Identification number.
Code of Federal Regulations, 2010 CFR
2010-10-01
...Merchant Mariner Credentials § 10.207 Identification number. For recordkeeping purposes only, a mariner's official MMC identification number is the individual's social security number. However, a unique serial number, and not the social...
Euler's number, a first introduction
NSDL National Science Digital Library
2013-06-21
In the first video segment, we introduce Euler's number by considering the problem of interest compounded continuously. After we obtain the power-series representation for exp(x), we explore its properties, in the next four video segments, to convince ourselves that exp(x) is literally an exponential function, meaning a number, approximately 2.71828, taken to the power x. In the final two segments, we present the natural logarithm and demonstrate that it is the anti-derivative of 1/x.
Learning math: Number and operations
NSDL National Science Digital Library
Carol R. Findell
2007-12-12
This online workshop for elementary and middle school teachers covers the real number system, place value, the behavior of zero and infinity, the meanings and models of basic operations, percentages, and modeling operations with fractions, often with the aid of concrete, physical models that enhance understanding. It also examines basic number theory topics, such as factors and multiples, as well as divisibility tests. Each of its ten sessions contains video programming, problem-solving activities provided online and in a print guide, and interactive activities and demonstrations on the Web.
Iftikhar Ahmad; Yun-Song Piao; Cong-Feng Qiao
2008-06-04
We study the Nflation model, in which a collection of massive scalar fields drive the inflation simultaneously. We find, when the number of fields is larger than the square of ratio of the Planck scale $M_p$ to the average value $\\bar m$ of fields masses, the slow roll inflation region will disappear. This suggests that in order to make Nflation responsible for our observable universe, the number of fields driving the Nflation must be bounded by the above ratio. This result is also consistent with recent arguments from black hole physics.
The replacement number Winfried Just
Just, Winfried
The replacement number Winfried Just Hannah Callender M. Drew LaMar§ Ying Xin¶ February 23, 2015 LaMar, Ying Xin 2015 Department of Mathematics, Ohio University, Athens, OH 45701 E-mail: mathjust@gmail.com University of Portland E-mail: callende@up.edu § The College of William and Mary E-mail: drew.lamar
Symmetry in Numbers David Marshall
Marshall, David
Symmetry in Numbers David Marshall Monmouth University April 13, 2005 808 -2 3 + 3 -169 54 + 1007 18 + 3 -169 54 - 1007 18 Typeset by FoilTEX #12;Symmetry One of the guiding principles group of symmetries. -Paul Yale, in Geometry and Symmetry 2. Due or just proportion; harmony of parts
Project Solo; Newsletter Number Eleven.
ERIC Educational Resources Information Center
Pittsburgh Univ., PA. Project Solo.
An experimental 9th grade computer science syllabus is proposed. The syllabus would include the technical information needed for controlling and programing the computer in a number of modes and would preview some of the areas covered in the high school curriculum. A sample module of a topic not normally taught in high school--distance and…
Slichter modes and Love numbers
David J. Crossley; Michael G. Rochester; Z. R. Peng
1992-01-01
The results of Smylie (1992), who claims to have detected the Slichter modes of the earth's inner core, are reexamined. An examination of the theory used in Smylie's calculations reveals the use of static Love numbers to represent the response of the inner core and mantle to dynamics in the liquid core. It is demonstrated that the use of dynamic
Solar System Number-Crunching.
ERIC Educational Resources Information Center
Albrecht, Bob; Firedrake, George
1997-01-01
Defines terrestrial and Jovian planets and provides directions to obtain planetary data from the National Space Science Data Center Web sites. Provides "number-crunching" activities for the terrestrial planets using Texas Instruments TI-83 graphing calculators: computing volumetric mean radius and volume, density, ellipticity, speed, surface…
ERIC Educational Resources Information Center
Materiales, 1997
1997-01-01
These three journals of contemporary cultural, historical, and social interest contain activities designed to enhance the awareness of students of Spanish as a foreign language regarding the entire panorama of daily life in Spain. Number 21 focuses on the role of modern Spanish women; their career status; female authors; and the changing place of…
High Reynolds number research - 1980
NASA Technical Reports Server (NTRS)
Mckinney, L. W. (editor); Baals, D. D. (editor)
1981-01-01
The fundamental aerodynamic questions for which high Reynolds number experimental capability is required were examined. Potential experiments which maximize the research returns from the use of the National Transonic Facility (NTF) were outlined. Calibration plans were reviewed and the following topics were discussed: fluid dynamics; high lit; configuration aerodynamics; aeroelasticity and unsteady aerodynamics; wind tunnel/flight correlation; space vehicles; and theoretical aerodynamics
ERIC Educational Resources Information Center
Surrena, Michelle
2011-01-01
In order to inspire her students to work in mixed media, the author chose to highlight the art of Jasper Johns and Robert Indiana, both of whom used numbers and letters as a main focus in their art. In this article, the author describes a mixed-media printmaking project. (Contains 2 online resources.)
Number Crunching: A Sheep's Tale
ERIC Educational Resources Information Center
Sam, Chris Lam
2005-01-01
In this article, the author talks about an allegorical tale which he has written as a message for teachers of mathematics. The story is about Gordon, who led a flock of small sheep. Gordon was a mathematics genius; however, his flock criticized his teaching of numbers and his boring lectures. His furry-god-farmer advised him to share his…
The number of convex permutominoes
Paolo Boldi; Violetta Lonati; Roberto Radicioni; Massimo Santini
2008-01-01
Permutominoes are polyominoes defined by suitable pairs of p ermutations. In this paper we provide a formula to count the number of convex permutominoes of given perimeter. To this aim we define the transform of a generic pair of permutations, we c haracterize the transform of any pair defining a convex permutomino, and we solve the counting prob lem in
On Normal Numbers Veronica Becher
Becher, Verónica
On Normal Numbers Ver´onica Becher Universidad de Buenos Aires and CONICET Laboratoire Franco transducers. Huffman 1959 calls them lossless compressors. A direct proof of the above theorem Becher and Heiber, 2012. Theorem (Becher, Carton, Heiber 2013) Non-deterministic bounded-to-one transducers, even
The elephant brain in numbers.
Herculano-Houzel, Suzana; Avelino-de-Souza, Kamilla; Neves, Kleber; Porfírio, Jairo; Messeder, Débora; Mattos Feijó, Larissa; Maldonado, José; Manger, Paul R
2014-01-01
What explains the superior cognitive abilities of the human brain compared to other, larger brains? Here we investigate the possibility that the human brain has a larger number of neurons than even larger brains by determining the cellular composition of the brain of the African elephant. We find that the African elephant brain, which is about three times larger than the human brain, contains 257 billion (10(9)) neurons, three times more than the average human brain; however, 97.5% of the neurons in the elephant brain (251 billion) are found in the cerebellum. This makes the elephant an outlier in regard to the number of cerebellar neurons compared to other mammals, which might be related to sensorimotor specializations. In contrast, the elephant cerebral cortex, which has twice the mass of the human cerebral cortex, holds only 5.6 billion neurons, about one third of the number of neurons found in the human cerebral cortex. This finding supports the hypothesis that the larger absolute number of neurons in the human cerebral cortex (but not in the whole brain) is correlated with the superior cognitive abilities of humans compared to elephants and other large-brained mammals. PMID:24971054
JOIDESJournal Volume 23 Number 1
JOIDESJournal Volume 23 Number 1 In this Issue: SCIENCE SECTION Critical Boundaries in Earth NEWS Detection of in-situ Physical Properties Using Logging-While-Drilling .............. 16 An Overview of the New JOIDES Science Advisory Structure ........................... 22 The ODP Science Plan
Adjuncts Build Strength in Numbers
ERIC Educational Resources Information Center
June, Audrey Williams
2012-01-01
When professors in positions that offer no chance of earning tenure begin to stack the faculty, campus dynamics start to change. Growing numbers of adjuncts make themselves more visible. They push for roles in governance, better pay and working conditions, and recognition for work well done. And they do so at institutions where tenured faculty,…
Tracking Detail Tracking Number: 46851522582
Bartholdi III, John J.
Tracking Detail Tracking Number: 46851522582 Status: Delivered Delivered On: 10/07/2009 4:41 P Track Shipments Your package has been delivered. To view Proof of Delivery, please select the link. To view additional tracking information, please log in to My UPS. Location Date Local Time Description
ERIC Educational Resources Information Center
Barker, Lindsay
2009-01-01
How this teacher develops composition of ten with second graders was dramatically reshaped by the 2006 release of NCTM's "Curriculum Focal Points." The release of "Curriculum Focal Points"--particularly the suggestion that number sense and computation be focal areas in the second-grade mathematics curriculum--resulted in positive changes in this…
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
Not all of mathematics can be taught in formal textbooks. Just as an English course can be enlivened by selections from literature, a mathematics course can gain depth and interest from special readings. This volume can be read in conjunction with the SMSG First Course in Algebra or Intermediate Mathematics. It introduces the subject of number…
ERIC Educational Resources Information Center
Materiales, 1995
1995-01-01
Four booklets present articles on Spanish language and culture aimed at teachers of Spanish in the United States for student use in their classes. Number 17, "Los Jovenes Espanoles" (Spanish Youth), includes articles on Spanish youth sports, music, gangs, thoughts, and t-shirt slogans: (1) "Young Spanish Athletes"; (2) "Youth Music"; (3) "Urban…
Gummy vs. Gum (Number Pattern)
NSDL National Science Digital Library
Beacon Learning Center
2009-10-13
"In this lesson, students use gummy bears and sticks of gum to discover a number pattern and write an equation that describes it. This lesson should be conducted after students have worked with patterns and one- and two-step equations." from the Beacon Learning Center.
Residual number processing in dyscalculia.
Cappelletti, Marinella; Price, Cathy J
2014-01-01
Developmental dyscalculia - a congenital learning disability in understanding numerical concepts - is typically associated with parietal lobe abnormality. However, people with dyscalculia often retain some residual numerical abilities, reported in studies that otherwise focused on abnormalities in the dyscalculic brain. Here we took a different perspective by focusing on brain regions that support residual number processing in dyscalculia. All participants accurately performed semantic and categorical colour-decision tasks with numerical and non-numerical stimuli, with adults with dyscalculia performing slower than controls in the number semantic tasks only. Structural imaging showed less grey-matter volume in the right parietal cortex in people with dyscalculia relative to controls. Functional MRI showed that accurate number semantic judgements were maintained by parietal and inferior frontal activations that were common to adults with dyscalculia and controls, with higher activation for participants with dyscalculia than controls in the right superior frontal cortex and the left inferior frontal sulcus. Enhanced activation in these frontal areas was driven by people with dyscalculia who made faster rather than slower numerical decisions; however, activation could not be accounted for by response times per se, because it was greater for fast relative to slow dyscalculics but not greater for fast controls relative to slow dyscalculics. In conclusion, our results reveal two frontal brain regions that support efficient number processing in dyscalculia. PMID:24266008
Florida Statewide Course Numbering System.
ERIC Educational Resources Information Center
Florida State Dept. of Education, Tallahassee. Office of Postsecondary Education Coordination.
In an effort to fulfill state policies on higher education articulation and student transfers, the Florida state legislature encouraged establishment of a common Statewide Course Numbering System (SCNS) which is presented in this document. Early sections describe the establishment and development of the SCNS and logistics of its maintenance. Also…
An Estimate of Avogadro's Number.
ERIC Educational Resources Information Center
Stauffer, Frederic R.
1991-01-01
Calculates an approximation to Avagadro's number for one mole of water by assuming the mole to be in cubical form and then halving the cube three times, thereby doubling the surface area of the original cube. The calculations are derived from the work necessary to perform these divisions. Presents calculated values for several liquids. (MDH)
Goldstein, Raymond E.
Life at High Péclet Numbers R E Goldstein DAMTP #12;III Microfluidics of Cytoplasmic Streaming Discovery of Streaming (Digital Images from the British Library) Chara Internodal cell after osmotic stress Meent #12;Microfluidics of Cytoplasmic Streaming Jan-Willem van de Meent #12;Cytoplasmic Streaming
SUMSRI Number Theory Research Seminar
Jul 3, 2012 ... Here are links to number theory projects during my time with the ... A Statistical Analysis of 2-Selmer Groups for Elliptic Curves with Torsion Subgroup Z2 x Z8 ... We give an informal discussion of the history of the equation, ...
Sounding Number Dr. Rachel Hall
Hall, Rachel W.
on the vertical axis. Examples. When representing a vibration, the independent variable is time (t) and the dependent variable (y) is displacement. When the vibrating object is at rest, y = 0. Let's graph correct answers! P = Example. e floor function outputs the greatest integer (whole number) less than
General Assistance Emergency Phone Numbers
line 911 cell phone (510) 642-3333 Hazardous Material Spills business hours (510) 642-3073 EH&S off Introduction The safe storage of hazardous chemicals is an essential part of an environmental, healthGeneral Assistance Emergency Phone Numbers Department Contacts Life-threatening Emergencies land
Profiles of Promise: Number One.
ERIC Educational Resources Information Center
Levy, Tedd; And Others
Profiles of Promise is a series of descriptive brochures that highlight social studies and social education practices that teachers and administrators can easily adapt to their own situation. This number describes efforts at Bell Junior High School in Golden, Colorado to create a democratic environment. In the initial process of establishing…
Arrighi, Roberto; Togoli, Irene; Burr, David C.
2014-01-01
Much evidence has accumulated to suggest that many animals, including young human infants, possess an abstract sense of approximate quantity, a number sense. Most research has concentrated on apparent numerosity of spatial arrays of dots or other objects, but a truly abstract sense of number should be capable of encoding the numerosity of any set of discrete elements, however displayed and in whatever sensory modality. Here, we use the psychophysical technique of adaptation to study the sense of number for serially presented items. We show that numerosity of both auditory and visual sequences is greatly affected by prior adaptation to slow or rapid sequences of events. The adaptation to visual stimuli was spatially selective (in external, not retinal coordinates), pointing to a sensory rather than cognitive process. However, adaptation generalized across modalities, from auditory to visual and vice versa. Adaptation also generalized across formats: adapting to sequential streams of flashes affected the perceived numerosity of spatial arrays. All these results point to a perceptual system that transcends vision and audition to encode an abstract sense of number in space and in time. PMID:25377454
Coutsias, Evangelos
computational fluid dynamics code (MPSalsa), are also pursued. All three approaches are in close agree- ment. 1, Albuquerque, NM, USA email: vageli@math.unm.edu 3 Department of Computational Mathematics and Algorithms heated from below exhibits a sequence of bifurcations with increasing Grashof number. Using the Navier
Evaluation of thermal soak times
NASA Technical Reports Server (NTRS)
Mulholland, G. P.; Huddleston, H. P., Jr.
1977-01-01
A mathematical model for the heat transfer within the electronics package of a Chaparral missile was performed. The Grashof number for this configuration was less than 2000 which indicated that the primary mode of heat transfer was conduction. The Vodicka theory for heat conduction in laminated composite media was utilized to obtain the solution for the model.
Efcient parallel computations of ows of arbitrary uids for
Chibbaro, Sergio
and Grashof numbers M. Mulas Department of Computational Methods for Engineering, CRS4, Center for Research. Chibbaro Department of Computational Methods for Engineering, CRS4, Center for Research, Development, CRS4, Center for Research, Development and Advanced Studies in Sardinia, Area of Computational Fluid
Transient natural convection heat and mass transfer in crystal growth
NASA Technical Reports Server (NTRS)
Han, Samuel S.
1990-01-01
A numerical analysis of transient combined heat and mass transfer across a rectangular cavity is performed. The physical parameters are selected to represent a range of possible crystal growth in solutions. Good agreements with measurement data are observed. It is found that the thermal and solute fields become highly oscillatory when the thermal and solute Grashof numbers are large.
Salillas, Elena; Graná, Alessia; El-Yagoubi, Radouane; Semenza, Carlo
2009-01-01
Background Although lacking visual experience with numerosities, recent evidence shows that the blind perform similarly to sighted persons on numerical comparison or parity judgement tasks. In particular, on tasks presented in the auditory modality, the blind surprisingly show the same effect that appears in sighted persons, demonstrating that numbers are represented through a spatial code, i.e. the Spatial-Numerical Association of Response Codes (SNARC) effect. But, if this is the case, how is this numerical spatial representation processed in the brain of the blind? Principal Findings Here we report that, although blind and sighted people have similarly organized numerical representations, the attentional shifts generated by numbers have different electrophysiological correlates (sensorial N100 in the sighted and cognitive P300 in the blind). Conclusions These results highlight possible differences in the use of spatial representations acquired through modalities other than vision in the blind population. PMID:19626126
Remarks On General Fibonacci Numbers
Masum Billal
2015-02-22
We dedicate this paper to investigate the most generalized form of Fibonacci Sequence, one of the most studied sections of the mathematical literature. One can notice that, we have discussed even a more general form of the conventional one. Although it seems the topic in the first section has already been covered before, but we present a different proof here. Later I found out that, the auxiliary theorem used in the first section was proven and even generalized further by F. T. Howard. Thanks to Curtis Cooper for pointing out the fact that this has already been studied and providing me with references. the At first, we prove that, only the common general Fibonacci Sequence can be a divisible sequence under some restrictions. In the latter part, we find some properties of the sequence, prove that there are infinite alternating bisquable Fibonacci sequence(defined later) and provide a lower bound on the number of divisors of Fibonacci numbers.
Women in Politics: Beyond Numbers
NSDL National Science Digital Library
Developed by the International Institute for Democracy and Electoral Assistance (IDEA), Women in Politics: Beyond Numbers is an initiative devoted to researching, evaluating, and promoting the role and impact of women in the advancement of sustainable democracy and electoral processes worldwide. This Website functions as an international resource providing information about IDEA's research projects and publications related to women's political involvement. The site features an extensive report, "Women in Parliament: Beyond Numbers," that examines such issues as obstacles to women's political participation and the impact of women in international politics, as well as compares the involvement of women within various electoral systems. The site also includes links to relevant resources and maintains several interactive forums for discussing IDEA's projects to enhance women's political participation.
JOC Recent Reviews, Number 81.
Cornel, Veronica M
2006-07-01
Reviews are listed in order of appearance in the sources indicated. In multidisciplinary review journals, only those reviews which fall within the scope of this Journal are included. Sources are listed alphabetically in three categories: regularly issued review journals and series volumes, contributed volumes, and other monographs. Titles are numbered serially, and these numbers are used for reference in the index. Major English-language sources of critical reviews are covered. Encyclopedic treatises, annual surveys such as Specialist Periodical Reports, and compilations of symposia proceedings are omitted. This installment of Recent Reviews covers principally the early part of the 2006 literature. Previous installment: J. Org. Chem. 2006, 71(7), 2926-34. PMID:16808540
NASA Astrophysics Data System (ADS)
Nakayama, Kazunori; Takahashi, Fuminobu; Yanagida, Tsutomu T.
2011-05-01
We propose that the stability of dark matter is ensured by a discrete subgroup of the U(1)B-L gauge symmetry, Z(B-L). We introduce a set of chiral fermions charged under the U(1)B-L in addition to the right-handed neutrinos, and require the anomaly-cancellation conditions associated with the U(1)B-L gauge symmetry. We find that the possible number of fermions and their charges are tightly constrained, and that non-trivial solutions appear when at least five additional chiral fermions are introduced. The Fermat theorem in the number theory plays an important role in this argument. Focusing on one of the solutions, we show that there is indeed a good candidate for dark matter, whose stability is guaranteed by Z(B-L).
48 CFR 52.204-12 - Data Universal Numbering System Number Maintenance.
Code of Federal Regulations, 2013 CFR
2013-10-01
...Provisions and Clauses 52.204-12 Data Universal Numbering System Number...insert the following clause: Data Universal Numbering System Number Maintenance (DEC 2012) (a) Definition. Data Universal Numbering System...
48 CFR 52.204-6 - Data Universal Numbering System Number.
Code of Federal Regulations, 2014 CFR
2014-10-01
...Provisions and Clauses 52.204-6 Data Universal Numbering System Number. ...insert the following provision: Data Universal Numbering System Number (JUL 2013) (a) Definition. Data Universal Numbering System (DUNS)...
48 CFR 52.204-6 - Data Universal Numbering System Number.
Code of Federal Regulations, 2013 CFR
2013-10-01
...Provisions and Clauses 52.204-6 Data Universal Numbering System Number. ...insert the following provision: Data Universal Numbering System Number (JUL 2013) (a) Definition. Data Universal Numbering System (DUNS)...
48 CFR 52.204-12 - Data Universal Numbering System Number Maintenance.
Code of Federal Regulations, 2014 CFR
2014-10-01
...Provisions and Clauses 52.204-12 Data Universal Numbering System Number...insert the following clause: Data Universal Numbering System Number Maintenance (DEC 2012) (a) Definition. Data Universal Numbering System...
NASA Astrophysics Data System (ADS)
Richman, Robert M.
1998-05-01
A recent paper has argued that the derivation of the periodic table using quantum numbers is a topic that should be eliminated from introductory chemistry courses because it is too abstract, mysterious, and esoteric. A rebuttal is offered based on the claim that it would be wrong to omit discussions of the inductive approach of Mendeleev and the deductive approach initiated by Schroedinger, because they compose the consummate example of that interaction of empirical and rational epistemologies that defines how chemists think.
NASA Astrophysics Data System (ADS)
Ufnarovski, Victor; Ahlander, Bo
2003-09-01
We define the derivative of an integer to be the map sending every prime to 1 and satisfying the Leibnitz rule. The aim of the article is to consider the basic properties of this map and to show how to generalize the notion to the case of rational and arbitrary real numbers. We make some conjectures and find some connections with Goldbach's Conjecture and the Twin Prime Conjecture. Finally, we solve the easiest associated differential equations and calculate the generating function.
Lozenge Tilings and Hurwitz Numbers
NASA Astrophysics Data System (ADS)
Novak, Jonathan
2015-07-01
We give a new proof of the fact that, near a turning point of the frozen boundary, the vertical tiles in a uniformly random lozenge tiling of a large sawtooth domain are distributed like the eigenvalues of a GUE random matrix. Our argument uses none of the standard tools of integrable probability. In their place, it uses a combinatorial interpretation of the Harish-Chandra/Itzykson-Zuber integral as a generating function for desymmetrized Hurwitz numbers.
Diophantine approximations with Fibonacci numbers
Zhuravleva, Victoria
2011-01-01
Let $F_{n}$ be the $n$-th Fibonacci number. Put $\\varphi=\\frac{1+\\sqrt5}{2}$. We prove that the following inequalities hold for any real $\\alpha$: 1) $\\inf_{n \\in \\mathbb N} ||F_n\\alpha||\\le\\frac{\\varphi-1}{\\varphi+2}$, 2) $\\liminf_{n\\to \\infty}||F_n\\alpha||\\le 1/5$, 3) $\\liminf_{n \\to \\infty}||\\varphi^n \\alpha||\\le 1/5$. These results are the best possible.
Chaitin ? Numbers and Halting Problems
Kohtaro Tadaki
Chaitin [G. J. Chaitin, J. Assoc. Comput. Mach., vol. 22, pp. 329–340, 1975] introduced his ? number as a concrete example of random real. The real ? is defined as the probability\\u000a that an optimal computer halts, where the optimal computer is a universal decoding algorithm used to define the notion of\\u000a program-size complexity. Chaitin showed ? to be random by
Quasiperpendicular High Mach Number Shocks.
Sulaiman, A H; Masters, A; Dougherty, M K; Burgess, D; Fujimoto, M; Hospodarsky, G B
2015-09-18
Shock waves exist throughout the Universe and are fundamental to understanding the nature of collisionless plasmas. Reformation is a process, driven by microphysics, which typically occurs at high Mach number supercritical shocks. While ongoing studies have investigated this process extensively both theoretically and via simulations, their observations remain few and far between. In this Letter we present a study of very high Mach number shocks in a parameter space that has been poorly explored and we identify reformation using in situ magnetic field observations from the Cassini spacecraft at 10 AU. This has given us an insight into quasiperpendicular shocks across 2 orders of magnitude in Alfvén Mach number (M_{A}) which could potentially bridge the gap between modest terrestrial shocks and more exotic astrophysical shocks. For the first time, we show evidence for cyclic reformation controlled by specular ion reflection occurring at the predicted time scale of ?0.3?_{c}, where ?_{c} is the ion gyroperiod. In addition, we experimentally reveal the relationship between reformation and M_{A} and focus on the magnetic structure of such shocks to further show that for the same M_{A}, a reforming shock exhibits stronger magnetic field amplification than a shock that is not reforming. PMID:26430997
Quasiperpendicular High Mach Number Shocks
NASA Astrophysics Data System (ADS)
Sulaiman, A. H.; Masters, A.; Dougherty, M. K.; Burgess, D.; Fujimoto, M.; Hospodarsky, G. B.
2015-09-01
Shock waves exist throughout the Universe and are fundamental to understanding the nature of collisionless plasmas. Reformation is a process, driven by microphysics, which typically occurs at high Mach number supercritical shocks. While ongoing studies have investigated this process extensively both theoretically and via simulations, their observations remain few and far between. In this Letter we present a study of very high Mach number shocks in a parameter space that has been poorly explored and we identify reformation using in situ magnetic field observations from the Cassini spacecraft at 10 AU. This has given us an insight into quasiperpendicular shocks across 2 orders of magnitude in Alfvén Mach number (MA ) which could potentially bridge the gap between modest terrestrial shocks and more exotic astrophysical shocks. For the first time, we show evidence for cyclic reformation controlled by specular ion reflection occurring at the predicted time scale of ˜0.3 ?c , where ?c is the ion gyroperiod. In addition, we experimentally reveal the relationship between reformation and MA and focus on the magnetic structure of such shocks to further show that for the same MA , a reforming shock exhibits stronger magnetic field amplification than a shock that is not reforming.
A Pseudo-Random Number Generator Based on Normal Numbers
Bailey, David H.
2004-12-31
In a recent paper, Richard Crandall and the present author established that each of a certain class of explicitly given real constants, uncountably infinite in number, is b-normal, for an integer that appears in the formula defining the constant. A b-normal constant is one where every string of m digits appears in the base-b expansion of the constant with limiting frequency b{sup -m}. This paper shows how this result can be used to fashion an efficient and effective pseudo-random number generator, which generates successive strings of binary digits from one of the constants in this class. The resulting generator, which tests slightly faster than a conventional linear congruential generator, avoids difficulties with large power-of-two data access strides that may occur when using conventional generators. It is also well suited for parallel processing--each processor can quickly and independently compute its starting value, with the collective sequence generated by all processors being the same as that generated by a single processor.
Ranking fuzzy numbers by preference ratio
Mohammad Modarres; Soheil Sadi-nezhad
2001-01-01
We propose a ranking method for fuzzy numbers. In this method a preference function is defined by which fuzzy numbers are measured point by point and at each point the most preferred number is identified. Then, these numbers are ranked on the basis of their preference ratio. Therefore, fuzzy numbers are compared relatively and not necessarily one is preferred absolutely
hp calculators HP 50g Complex numbers
Vetter, Frederick J.
hp calculators HP 50g Complex numbers The MTH (MATH) menu The CMPLX (COMPLEX) menu Complex numbers Practice working problems involving complex numbers #12;hp calculators HP 50g Complex numbers hp calculators - 2 - HP 50g Complex numbers The MTH (MATH) menu The Math menu is accessed from the WHITE shifted
Propulsion at low Reynolds number
NASA Astrophysics Data System (ADS)
Najafi, Ali; Golestanian, Ramin
2005-04-01
We study the propulsion of two model swimmers at low Reynolds number. Inspired by Purcell's model, we propose a very simple one-dimensional swimmer consisting of three spheres that are connected by two arms whose lengths can change between two values. The proposed swimmer can swim with a special type of motion, which breaks the time-reversal symmetry. We also show that an ellipsoidal membrane with tangential travelling wave on it can also propel itself in the direction preferred by the travelling wave. This system resembles the realistic biological animals like Paramecium.
NASA Astrophysics Data System (ADS)
Blanco-Pillado, Jose J.; Olum, Ken D.; Shlaer, Benjamin
2014-01-01
Using recent simulation results, we provide the mass and speed spectrum of cosmic string loops. This is the quantity of primary interest for many phenomenological signatures of cosmic strings, and it can be accurately predicted using recently acquired detailed knowledge of the loop production function. We emphasize that gravitational smoothing of long strings plays a negligible role in determining the total number of existing loops. We derive a bound on the string tension imposed by recent constraints on the stochastic gravitational wave background from pulsar timing arrays, finding G? ?2.8×10-9. We also provide a derivation of the Boltzmann equation for cosmic string loops in the language of differential forms.
Code of Federal Regulations, 2012 CFR
2012-07-01
... Numbers. 1602.19 Section 1602.19 National Defense Other Regulations Relating to National Defense SELECTIVE SERVICE SYSTEM DEFINITIONS § 1602.19 Numbers. Cardinal numbers may be expressed by Arabic or Roman...
20 CFR 404.1220 - Identification numbers.
Code of Federal Regulations, 2014 CFR
2014-04-01
...2014-04-01 false Identification numbers. 404.1220 Section 404.1220 ...Employees § 404.1220 Identification numbers. (a) State and local governments...SSA will assign a special identification number to each political subdivision...
20 CFR 404.1220 - Identification numbers.
Code of Federal Regulations, 2011 CFR
2011-04-01
...2011-04-01 false Identification numbers. 404.1220 Section 404.1220 ...Employees § 404.1220 Identification numbers. (a) State and local governments...SSA will assign a special identification number to each political subdivision...
20 CFR 404.1220 - Identification numbers.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 false Identification numbers. 404.1220 Section 404.1220 ...Employees § 404.1220 Identification numbers. (a) State and local governments...SSA will assign a special identification number to each political subdivision...
20 CFR 404.1220 - Identification numbers.
Code of Federal Regulations, 2012 CFR
2012-04-01
...2012-04-01 false Identification numbers. 404.1220 Section 404.1220 ...Employees § 404.1220 Identification numbers. (a) State and local governments...SSA will assign a special identification number to each political subdivision...
20 CFR 404.1220 - Identification numbers.
Code of Federal Regulations, 2013 CFR
2013-04-01
...2013-04-01 false Identification numbers. 404.1220 Section 404.1220 ...Employees § 404.1220 Identification numbers. (a) State and local governments...SSA will assign a special identification number to each political subdivision...
aeroacoustics volume 8 number 4 2009
Freund, Jonathan B.
number N Total number of snapshots n Azimuthal (Fourier) mode number r Radial coordinate ro Jet nozzle that aside from the axisymmetric component, the most energetic modes had azimuthal Fourier coefficient n = 5
Manipulation of Numbers With Many Digits
NASA Technical Reports Server (NTRS)
Howell, L. W.; Patrick, M.
1986-01-01
PRECISION designed for manipulation of numbers with accurate retention of up to thousands of digits per number. Use of PRECISION prevents underflow and overflow in programs that generate extreme numbers such as probability theory, statistics, and scientific applications.
18 CFR 367.4 - Numbering system.
Code of Federal Regulations, 2010 CFR
2010-04-01
...2010-04-01 2010-04-01 false Numbering system. 367.4 Section 367.4 Conservation...ACT General Instructions § 367.4 Numbering system. (a) The account numbering plan used in this part consists of a...
The Numbers Game: A Values Clarification Strategy
ERIC Educational Resources Information Center
Ognibene, Richard; Winter, Cynthia
1976-01-01
After completing personal identification forms consisting only of numbers (phone number, Social Security number, etc.), students discuss the need for more personal means of identification within society in order for people to feel a useful sense of identity. (AV)
Germanium Clusters: More Magic Numbers
NASA Astrophysics Data System (ADS)
Anderson, Lila Rose
1992-10-01
Clusters of silicon and germanium exhibit multiple isomers that can be annealed to single unique structural forms. The "magic number" reactivity trend observed for positive silicon clusters in the size range from 10 to 45 has also been observed in reactions with ammonia, and has also been observed with ethylene, water and trimethylamine (TMA). It was observed that Si_{21 ^+} anneals to a reactive form, so is no longer a "magic number". Negative silicon ions also display the same pattern. Additionally, mass-selected germanium clusters were levitated in the FT-ICR, and probed in chemisorption reactions with nitric oxide, TMA, and water. Clusters in the 10-51 atom size range were effectively annealed to unique structural forms by collisional excitation and cooling through infrared radiation and collisions with argon. For clusters over 33 atoms in size the reactivity pattern for the two elements is the same, suggesting the structures of these clusters is identical and common to tetravalently bonded clusters. Fragmentation studies were also performed to elucidate the difference in relative stability of the clusters and a correlation between stability and reactivity was found.
Links to Information on Number Systems
NSDL National Science Digital Library
Math Forum
2007-12-12
Site provides links to Web sites covering topics about different numbering systems. The site includes links to Arabic, Chinese, Mayan, Roman, Greek, Egyptian, and Babylonian numbering system resources.
Random number stride in Monte Carlo calculations
Hendricks, J.S.
1990-01-01
Monte Carlo radiation transport codes use a sequence of pseudorandom numbers to sample from probability distributions. A common practice is to start each source particle a predetermined number of random numbers up the pseudorandom number sequence. This number of random numbers skipped between each source particles the random number stride, S. Consequently, the jth source particle always starts with the j{center dot}Sth random number providing correlated sampling'' between similar calculations. A new machine-portable random number generator has been written for the Monte Carlo radiation transport code MCNP providing user's control of the random number stride. First the new MCNP random number generator algorithm will be described and then the effects of varying the stride will be presented. 2 refs., 1 fig.
Eric Lauga
2009-04-28
In many biological systems, microorganisms swim through complex polymeric fluids, and usually deform the medium at a rate faster than the inverse fluid relaxation time. We address the basic properties of such life at high Deborah number analytically by considering the small-amplitude swimming of a body in an arbitrary complex fluid. Using asymptotic analysis and differential geometry, we show that for a given swimming gait, the time-averaged leading-order swimming kinematics of the body can be expressed as an integral equation on the solution to a series of simpler Newtonian problems. We then use our results to demonstrate that Purcell's scallop theorem, which states that time-reversible body motion cannot be used for locomotion in a Newtonian fluid, breaks down in polymeric fluid environments.
Volume 2, Number 9, May 12, 1976 An error was made in numbering the April
Victoria, University of
Volume 2, Number 9, May 12, 1976 An error was made in numbering the April 22nd edition of The Ring. Instead of Volume 2, Number 7, the page 1 masthead line should have read Volume 2, Number 8. University
2 CFR 25.315 - Data Universal Numbering System (DUNS) Number.
Code of Federal Regulations, 2013 CFR
2013-01-01
...2013-01-01 2013-01-01 false Data Universal Numbering System (DUNS...AND CENTRAL CONTRACTOR REGISTRATION Definitions § 25.315 Data Universal Numbering System (DUNS) Number. Data Universal Numbering System...
2 CFR 25.315 - Data Universal Numbering System (DUNS) Number.
Code of Federal Regulations, 2014 CFR
2014-01-01
...2014-01-01 2014-01-01 false Data Universal Numbering System (DUNS...AND CENTRAL CONTRACTOR REGISTRATION Definitions § 25.315 Data Universal Numbering System (DUNS) Number. Data Universal Numbering System...
2 CFR 200.32 - Data Universal Numbering System (DUNS) number.
Code of Federal Regulations, 2014 CFR
2014-01-01
... 1 2014-01-01 2014-01-01 false Data Universal Numbering System (DUNS) number...REQUIREMENTS FOR FEDERAL AWARDS Acronyms and Definitions Acronyms § 200.32 Data Universal Numbering System (DUNS) number....
2 CFR 25.315 - Data Universal Numbering System (DUNS) Number.
Code of Federal Regulations, 2012 CFR
2012-01-01
...2012-01-01 2012-01-01 false Data Universal Numbering System (DUNS...AND CENTRAL CONTRACTOR REGISTRATION Definitions § 25.315 Data Universal Numbering System (DUNS) Number. Data Universal Numbering System...
2 CFR 25.315 - Data Universal Numbering System (DUNS) Number.
Code of Federal Regulations, 2011 CFR
2011-01-01
...2011-01-01 2011-01-01 false Data Universal Numbering System (DUNS...AND CENTRAL CONTRACTOR REGISTRATION Definitions § 25.315 Data Universal Numbering System (DUNS) Number. Data Universal Numbering System...
Department for Analysis and Computational Number Theory Additive functions and number systems
Department for Analysis and Computational Number Theory Additive functions and number systems madritsch@finanz.math.tugraz.at Workshop Aussois April 7, 2010 M. Madritsch Additive functions and number systems and additive functions Arithmetical properties Asymptotic distribution Normal numbers Connections
Rational and Irrational Numbers Putnam Practice
Albert, John
Rational and Irrational Numbers Putnam Practice September 7, 2004 A rational number is one that can are irrational. In particular, 2 + 3 is irrational. Example 2 (1974 Putnam) Prove that if is a real number. Example 3 (1949 Putnam) Let a/b (in lowest terms) represent a ratio- nal number that lies in the open
Contextual Effects on Number-Time Interaction
ERIC Educational Resources Information Center
Lu, Aitao; Hodges, Bert; Zhang, Jijia; Zhang, John X.
2009-01-01
Time perception has long been known to be affected by numerical representations. Recent studies further demonstrate that when participants estimate the duration of Arabic numbers, number magnitude, though task-irrelevant, biases duration judgment to produce underestimation for smaller numbers and overestimation for larger numbers. Such effects…
Number Theory I: Tools and Diophantine Equations
Cohen, Henri
i Number Theory I: Tools and Diophantine Equations II: Analytic and Modern Methods by Henri COHEN "explicit number theory," not including the essential algorithmic aspects, which are for the most part in integers, rational numbers, or more generally in algebraic numbers. This theme is in particular the central
Fascinating Fibonaccis: Mystery and Magic in Numbers.
ERIC Educational Resources Information Center
Garland, Trudi Hammel
This document presents activities and information related to Fibonacci numbers, which are based upon the Golden Ratio, in areas of the arts, sciences, and mathematics. The work is organized into eight chapters: (1) "Origins and Definitions"; (2) "Fibonacci Numbers in Nature"; (3) "Fibonacci Numbers in Art and Architecture"; (4) "Fibonacci Numbers…
CONSTRUCTING ALGEBRAIC LINKS FOR LOW EDGE NUMBERS
McCabe, Cynthia
CONSTRUCTING ALGEBRAIC LINKS FOR LOW EDGE NUMBERS CYNTHIA L. MCCABE Dept. of Mathematics@uwsp.edu ABSTRACT A method is given for economically constructing any algebraic knot or link K. This construction: knot, link, edge number, stick number, algebraic link, arborescent link 1. Introduction The edge number
Using Quasigroups for Generating Pseudorandom Numbers
Godavarty, Vinod Kumar
2011-01-01
This paper presents an algorithm for generating pseudorandom numbers using quasigroups. Random numbers have several applications in the area of secure communication. The proposed algorithm uses a matrix of size n x n which is pre-generated and stored. The quality of random numbers generated is compared with other pseudorandom number generator using Marsaglia's Diehard battery of tests.
On q-deformed Stirling numbers
Yilmaz Simsek
2007-11-03
The purpose of this article is to introduce q-deformed Stirling numbers of the first and second kinds. Relations between these numbers, Riemann zeta function and q-Bernoulli numbers of higher order are given. Some relations related to the classical Stirling numbers and Bernoulli numbers of higher order are found. By using derivative operator to the generating function of the q-deformed Stirling numbers of the second kinds, a new function is defined which interpolates the q-deformed Stirling numbers of the second kinds at negative integers. The recurrence relations of the Stirling numbers of the first and second kind are given. In addition, relation between q-deformed Stirling numbers and q-Bell numbers is obtained.
48 CFR 52.204-6 - Data Universal Numbering System (DUNS) Number.
Code of Federal Regulations, 2010 CFR
2010-10-01
...Data Universal Numbering System (DUNS) Number. 52.204-6 Section 52.204-6...Data Universal Numbering System (DUNS) Number. As prescribed in 4.607(a...Data Universal Numbering System (DUNS) Number (APR 2008) (a) The offeror shall...
48 CFR 52.204-6 - Data Universal Numbering System (DUNS) Number.
Code of Federal Regulations, 2012 CFR
2012-10-01
...Data Universal Numbering System (DUNS) Number. 52.204-6 Section 52.204-6...Data Universal Numbering System (DUNS) Number. As prescribed in 4.607(a...Data Universal Numbering System (DUNS) Number (APR 2008) (a) The offeror shall...
48 CFR 52.204-6 - Data Universal Numbering System (DUNS) Number.
Code of Federal Regulations, 2011 CFR
2011-10-01
...Data Universal Numbering System (DUNS) Number. 52.204-6 Section 52.204-6...Data Universal Numbering System (DUNS) Number. As prescribed in 4.607(a...Data Universal Numbering System (DUNS) Number (APR 2008) (a) The offeror shall...
h-analogue of Fibonacci Numbers
H. B. Benaoum
2009-09-30
In this paper, we introduce the h-analogue of Fibonacci numbers for non-commutative h-plane. For h h'= 1 and h = 0, these are just the usual Fibonacci numbers as it should be. We also derive a collection of identities for these numbers. Furthermore, h-Binet's formula for the h-Fibonacci numbers is found and the generating function that generates these numbers is obtained.
Integrated-Circuit Pseudorandom-Number Generator
NASA Technical Reports Server (NTRS)
Steelman, James E.; Beasley, Jeff; Aragon, Michael; Ramirez, Francisco; Summers, Kenneth L.; Knoebel, Arthur
1992-01-01
Integrated circuit produces 8-bit pseudorandom numbers from specified probability distribution, at rate of 10 MHz. Use of Boolean logic, circuit implements pseudorandom-number-generating algorithm. Circuit includes eight 12-bit pseudorandom-number generators, outputs are uniformly distributed. 8-bit pseudorandom numbers satisfying specified nonuniform probability distribution are generated by processing uniformly distributed outputs of eight 12-bit pseudorandom-number generators through "pipeline" of D flip-flops, comparators, and memories implementing conditional probabilities on zeros and ones.
Verification Challenges at Low Numbers
Benz, Jacob M.; Booker, Paul M.; McDonald, Benjamin S.
2013-06-01
Many papers have dealt with the political difficulties and ramifications of deep nuclear arms reductions, and the issues of “Going to Zero”. Political issues include extended deterrence, conventional weapons, ballistic missile defense, and regional and geo-political security issues. At each step on the road to low numbers, the verification required to ensure compliance of all parties will increase significantly. Looking post New START, the next step will likely include warhead limits in the neighborhood of 1000 . Further reductions will include stepping stones at1000 warheads, 100’s of warheads, and then 10’s of warheads before final elimination could be considered of the last few remaining warheads and weapons. This paper will focus on these three threshold reduction levels, 1000, 100’s, 10’s. For each, the issues and challenges will be discussed, potential solutions will be identified, and the verification technologies and chain of custody measures that address these solutions will be surveyed. It is important to note that many of the issues that need to be addressed have no current solution. In these cases, the paper will explore new or novel technologies that could be applied. These technologies will draw from the research and development that is ongoing throughout the national laboratory complex, and will look at technologies utilized in other areas of industry for their application to arms control verification.
Copy number variations among silkworms
2014-01-01
Background Copy number variations (CNVs), which are important source for genetic and phenotypic variation, have been shown to be associated with disease as well as important QTLs, especially in domesticated animals. However, little is known about the CNVs in silkworm. Results In this study, we have constructed the first CNVs map based on genome-wide analysis of CNVs in domesticated silkworm. Using next-generation sequencing as well as quantitative PCR (qPCR), we identified ~319 CNVs in total and almost half of them (~ 49%) were distributed on uncharacterized chromosome. The CNVs covered 10.8 Mb, which is about 2.3% of the entire silkworm genome. Furthermore, approximately 61% of CNVs directly overlapped with SDs in silkworm. The genes in CNVs are mainly related to reproduction, immunity, detoxification and signal recognition, which is consistent with the observations in mammals. Conclusions An initial CNVs map for silkworm has been described in this study. And this map provides new information for genetic variations in silkworm. Furthermore, the silkworm CNVs may play important roles in reproduction, immunity, detoxification and signal recognition. This study provided insight into the evolution of the silkworm genome and an invaluable resource for insect genomics research. PMID:24684762
Access to emergency number services.
Harkins, Judith E; Strauss, Karen Peltz
2008-01-01
Access to emergency services is mandated by Title II of the Americans with Disabilities Act (ADA). The Department of Justice oversees the accessibility of public safety answering points (PSAPs), popularly called 9-1-1 centers. The Federal Communications Commission (FCC) has at least two roles in emergency number access: (1) as regulator of the ADA's Title IV on telecommunications access, and (2) as regulator of communications companies with regard to support of and interconnection with PSAPs. The rules of both agencies contributed significantly to the improvement during the 1990s of access to 9-1-1 for people who are deaf, hard of hearing, or speech disabled. However, as new technologies for text wireless communications and relay services have moved quickly to Internet protocol (IP)-based technologies over the past 5-8 years, the use of traditional wireline telephones and text telephones among deaf, hard of hearing, and speech-disabled people has declined. PSAPs cannot be contacted via the newer forms of telecommunications, such as e-mail, instant messaging, and IP-based forms of relay services, including video relay services. The gap between the technology supported by policy and the technologies currently being used by deaf and hard of hearing people has become a serious problem that is difficult to solve because of the separate jurisdictions of the two agencies, the need for coordination within the FCC, technological challenges, and funding issues. In this article, the key policy and technology challenges will be analyzed and recommendations made for short-and long-term solutions to this dilemma. PMID:18751576
Prime number generation and factor elimination
Vineet Kumar
2014-10-06
We have presented a multivariate polynomial function termed as factor elimination function,by which, we can generate prime numbers. This function's mapping behavior can explain the irregularities in the occurrence of prime numbers on the number line. Generally the different categories of prime numbers found till date, satisfy the form of this function. We present some absolute and probabilistic conditions for the primality of the number generated by this method. This function is capable of leading to highly efficient algorithms for generating prime numbers.
Department: Sociology Course number : Soci 248W
Alpay, S. Pamir
Department: Sociology Course number : Soci 248W Course title : Aging in American Society Number) of their sociological perspective on the specific topic (one associated with aging and life course). Students are given
A determinant of generalized Fibonacci numbers
Krattenthaler, Christian
2012-01-01
We evaluate a determinant of generalized Fibonacci numbers, thus providing a common generalization of several determinant evaluation results that have previously appeared in the literature, all of them extending Cassini's identity for Fibonacci numbers.
Poison control center - Emergency number (image)
... anywhere in the United States. This national hotline number will let you talk to experts in poisoning. ... control centers in the U.S. use this national number. You should call if you have any questions ...
DOCUMENT CONTROL NUMBER (ACCOUNTS PAYABLE USE ONLY)
Tipple, Brett
: 801/5816976) PAYMENTINFORMATION PAYMENT REQUEST NUMBER (this number will appear on Management Reports to or on behalf of an individual or organization that is a non resident alien? Yes No If Yes, give country
Getting Help: Know the Numbers (For Parents)
... numbers. Make sure the list includes these numbers: emergency medical services: In most places this is 911, but your ... know how to use it to activate local emergency services (ambulance, police, fire station). If you're planning ...
Number Theory in the High School Classroom.
ERIC Educational Resources Information Center
Dence, Thomas
1999-01-01
Demonstrates some of the usefulness of number theory to students on the high school setting in four areas: Fibonacci numbers, Diophantine equations, continued fractions, and algorithms for computing pi. (ASK)
46 CFR Sec. 2 - Voyage numbers.
Code of Federal Regulations, 2014 CFR
2014-10-01
...with voyage No. 1 having the prefixed designation NSA and followed by the General Agents' abbreviated designation and voyage number, as NSA-1/ABC-1. (b) The continuity of NSA voyage numbers shall not change with berth...
46 CFR Sec. 2 - Voyage numbers.
Code of Federal Regulations, 2011 CFR
2011-10-01
...with voyage No. 1 having the prefixed designation NSA and followed by the General Agents' abbreviated designation and voyage number, as NSA-1/ABC-1. (b) The continuity of NSA voyage numbers shall not change with berth...
46 CFR Sec. 2 - Voyage numbers.
Code of Federal Regulations, 2013 CFR
2013-10-01
...with voyage No. 1 having the prefixed designation NSA and followed by the General Agents' abbreviated designation and voyage number, as NSA-1/ABC-1. (b) The continuity of NSA voyage numbers shall not change with berth...
46 CFR Sec. 2 - Voyage numbers.
Code of Federal Regulations, 2012 CFR
2012-10-01
...with voyage No. 1 having the prefixed designation NSA and followed by the General Agents' abbreviated designation and voyage number, as NSA-1/ABC-1. (b) The continuity of NSA voyage numbers shall not change with berth...
On Ramachandra's Contributions to Transcendental Number Theory
Paris-Sud XI, Université de
On Ramachandra's Contributions to Transcendental Number Theory Michel WALDSCHMIDT Universit P. et M(C) for the complex topology? The other contributions of Ramachandra to transcendental number theory are dealt
Curling Numbers of Certain Graph Structures
Susanth C.; Sunny Joseph Kalayathankal; N. K. Sudev; K. P. Chithra; Johan Kok
2015-09-01
Given a finite nonempty sequence $S$ of integers, write it as $XY^k$, where $Y^k$ is a power of greatest exponent that is a suffix of $S$: this $k$ is the curling number of $S$. The concept of curling number of sequences has already been extended to the degree sequences of graphs to define the curling number of a graph. In this paper we study the curling number of graph powers, graph products and certain other graph operations.
NASA Astrophysics Data System (ADS)
M"Uller, Tom
2007-09-01
An odd prime number p is called anti-elite if only finitely many Fermat numbers are quadratic non-residues to p. This concept is the exact opposite to that of elite prime numbers. We study some fundamental properties of anti-elites and show that there are infinitely many of them. A computational search among all the numbers up to 100 billion yielded 84 anti-elite primes.
On the domination number and the 2-packing number of Fibonacci cubes and Lucas cubes
Paris-Sud XI, Université de
On the domination number and the 2-packing number of Fibonacci cubes and Lucas cubes Aline Castro, respectively. The domination number of Fibonacci cubes and Lucas cubes is studied. In particular it is proved; domination number; 2-packing number; au- tomorphism group Math. Subj. Class. (2010): 05C69, 05C25
The Bondage Number of Graphs with Crossing Number Less than Four
Xu, Jun-Ming
The Bondage Number of Graphs with Crossing Number Less than Four Yong-Chang Cao Jia Huang Jun, China Abstract The bondage number b(G) of a graph G is the smallest number of edges whose removal [Bondage number of planar graphs. Discrete Math. 222 (2000), 191- 198] proved b(G) min{8, + 2} for every
PRIME NUMBER THEOREM Abstract. Prime numbers have always been seen as the building blocks of
May, J. Peter
PRIME NUMBER THEOREM RYAN LIU Abstract. Prime numbers have always been seen as the building blocks of all integers, but their behavior and distribution are often puzzling. The prime number theorem gives an estimate for how many prime numbers there are under any given positive number. By using complex analysis
Convective heat transfer in rotating cylindrical cavity
NASA Astrophysics Data System (ADS)
Owen, J. M.; Onur, H. S.
1983-04-01
In order to gain an understanding of the conditions inside air-cooled, gas-turbine rotors, flow visualization, laser-doppler anemometry, and heat-transfer measurements have been made in a rotating cavity with either an axial throughflow or a radial outflow of coolant. For the axial throughflow tests, a correlation has been obtained for the mean Nusselt number in terms of the cavity gap ratio, the axial Reynolds number, and rotational Grashof number. For the radial outflow tests, velocity measurements are in good agreement with solutions of the linear (laminar and turbulent) Ekman layer equations, and flow visualization has revealed the destabilizing effect of buoyancy forces on the flow structure. The mean Nusselt numbers have been correlated, for the radial outflow case, over a wide range of gap ratios, coolant flow rates, rotational Reynolds numbers and Grashof numbers. As well as the three (forced convection) regimes established from previous experiments, a fourth (free convection) regime has been identified.
GAME DOMINATION NUMBER NOGA ALON, J
Balogh, Jozsef
GAME DOMINATION NUMBER NOGA ALON, J #19; OZSEF BALOGH, B #19; ELA BOLLOB #19; AS, AND TAM #19; AS SZAB #19; O Abstract. The game domination number of a (simple, undirected) graph is de#12;ned. Player D starts the game, and his goal is to decrease the domination number of the resulting digraph
How is the ERBE region number determined?
Atmospheric Science Data Center
2014-12-08
The ERBE region number can be easily determined with the following: 2.5-degree Data: Region number = int(colat / 2.5) * 144 + (lon / 2.5) 5-degree Data: Region number = int(colat / 5) * 72 + (lon / 5) 10-degree Data: Region ...
Relativistic theory of tidal Love numbers
Taylor Binnington
2009-01-01
In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created by tidal forces on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's internal structure. We present a relativistic theory of Love numbers, which applies to compact bodies with strong internal gravities; the theory extends
Reading the World through Very Large Numbers
ERIC Educational Resources Information Center
Greer, Brian; Mukhopadhyay, Swapna
2010-01-01
One original, and continuing, source of interest in large numbers is observation of the natural world, such as trying to count the stars on a clear night or contemplation of the number of grains of sand on the seashore. Indeed, a search of the internet quickly reveals many discussions of the relative numbers of stars and grains of sand. Big…
46 CFR Sec. 7 - Job order numbering.
Code of Federal Regulations, 2013 CFR
2013-10-01
...2013-10-01 2013-10-01 false Job order numbering. Sec. 7 Section 7...REPAIR CONTRACT-NSA-LUMPSUMREP Sec. 7 Job order numbering. (a) The NSA-LUMPSUMREP...Contract number shall be inserted in every job order and supplemental job order...
46 CFR Sec. 7 - Job order numbering.
Code of Federal Regulations, 2011 CFR
2011-10-01
...2011-10-01 2011-10-01 false Job order numbering. Sec. 7 Section 7...REPAIR CONTRACT-NSA-LUMPSUMREP Sec. 7 Job order numbering. (a) The NSA-LUMPSUMREP...Contract number shall be inserted in every job order and supplemental job order...
46 CFR Sec. 7 - Job order numbering.
Code of Federal Regulations, 2014 CFR
2014-10-01
...2014-10-01 2014-10-01 false Job order numbering. Sec. 7 Section 7...REPAIR CONTRACT-NSA-LUMPSUMREP Sec. 7 Job order numbering. (a) The NSA-LUMPSUMREP...Contract number shall be inserted in every job order and supplemental job order...
46 CFR Sec. 7 - Job order numbering.
Code of Federal Regulations, 2012 CFR
2012-10-01
...2012-10-01 2012-10-01 false Job order numbering. Sec. 7 Section 7...REPAIR CONTRACT-NSA-LUMPSUMREP Sec. 7 Job order numbering. (a) The NSA-LUMPSUMREP...Contract number shall be inserted in every job order and supplemental job order...
Analysis of Random Number Generators Parijat Naik
1 Analysis of Random Number Generators Parijat Naik Department of Computer Science Oregon State generation used in practice and a comparison of their efficiency. The paper focuses on the techniques used Random number generators are used for generating an array of numbers that have a random distribution
The competition numbers of complete tripartite graphs
The competition numbers of complete tripartite graphs SUH-RYUNG KIM Department of Mathematics For a graph G, it is known to be a hard problem to compute the competition number k(G) of the graph G in general. In this paper, we give an explicit formula for the competition numbers of complete tripartite
Number-Theoretic Functions via Convolution Rings.
ERIC Educational Resources Information Center
Berberian, S. K.
1992-01-01
Demonstrates the number theory property that the number of divisors of an integer n times the number of positive integers k, less than or equal to and relatively prime to n, equals the sum of the divisors of n using theory developed about multiplicative functions, the units of a convolution ring, and the Mobius Function. (MDH)
A note on Quarks and numbers theory
Mehdi Hage-Hassan
2013-02-26
We express the basis vectors of Cartan fundamental representations of unitary groups by binary numbers. We determine the expression of Gel'fand basis of SU (3) based on the usual subatomic quarks notations and we represent it by binary numbers. By analogy with the mesons and quarks we find a new property of prime numbers.
Teach Kids about Numbers All around Us
ERIC Educational Resources Information Center
Hudson, Hannah Trierweiler
2011-01-01
Recognizing the role numbers play in people's everyday lives is crucial to students' math understanding now and down the road. That's why Bob Krech, a curriculum specialist in New Jersey's West Windsor-Plainsboro district, likes to teach a lesson he calls "Numbers All Around Us." This lesson uses real-world examples to show that numbers help…
Volume 11 Number 4 Summer 2008
Staum, Jeremy
Volume 11 Number 4 Summer 2008 TheJournalofComputationalFinanceVolume11Number4Summer2008 Incisive and Michael Taksar #12;The Journal of Computational Finance (131) Volume 11/Number 4, Summer 2008 An adaptive statistical validity is proved, and study the magnitude of estimation error. 1 INTRODUCTION Coherent risk
Section A -Personal Information Social Insurance Number
Milgram, Paul
Section A - Personal Information Social Insurance Number: Last Name: First Name: Address: Postal Code: Tel. No. (Home): DD / MM / YYYY Effective Date: Effective Date: Bank Account Number: Bank Transit (Branch) Number: Name of Bank or Financial Institution: Main Intersection of Bank: Bank Address: (Street
Baryon Number Violation Involving Higher Generations
Wei-Shu Hou; Makiko Nagashima; Andrea Soddu
2005-10-19
Proton stability seems to constrain rather strongly any baryon number violating process. We investigate the possibility of baryon number violating processes involving right-handed dynamics or higher generation quarks. Our results strongly suggest that there will be no possibility to observe baryon number violation in tau or higher generation quark decays, at any future machine.
ON BADLY APPROXIMABLE NUMBERS AND CERTAIN GAMES
Kleinbock, Dmitry
ON BADLY APPROXIMABLE NUMBERS AND CERTAIN GAMES BY WOLFGANG M. SCHMIDT 1. Introduction. A number a is called badly approximable if ja --p/q | > c/q2 for some c > 0 and all rationals pjq. It is known that an irrational number a is badly approximable if and only if the partial denominators in its continued fraction
ALL ACTIONS Number Priority Action Type
1 ALL ACTIONS Strategy Page Number Priority Action Type Sub-Action Number General Measures with Bonneville and the other action agencies to ensure that past fish-and- wildlife-related investments are kept-Action Number General Measures Responsible Entity New or Ongoing? Timeframe Forum Implement Adaptive Management
Convergence 1. Convergence of Sequence of numbers
Wu, Dapeng Oliver
Convergence 1. Convergence of Sequence of numbers 1) Definition ( ): A sequence of numbers converges to the number ( r), iff 0, , . . , | r| 2) Cauchy sequence: The sequence is Cauchy iff 0 of points in M has a limit that is also in M, or alternatively if every Cauchy sequence in M converges in M
Problem of the Week Number Eight
Arnold, Elizabeth A.
it is possible to make two numbers that have a greater product. Keep in mind that your answer must comeProblem of the Week Number Eight October 27, 2014 We have a fairly challenging problem for you this week, so let's get right to it: Using the digits from 19 exactly once each, what are the two numbers
40 CFR 86.1204 - Section numbering.
Code of Federal Regulations, 2010 CFR
2010-07-01
...2010-07-01 2010-07-01 false Section numbering. 86.1204 Section 86.1204 Protection...Heavy-Duty Vehicles § 86.1204 Section numbering. The section numbering system set forth in § 86.104 applies to this...
Company number 5857955 Wellcome Trust Finance plc
Rambaut, Andrew
Company number 5857955 Wellcome Trust Finance plc Annual Report and Financial Statements Year ended 30 September 2014 #12;Company number 5857955 Wellcome Trust Finance plc Contents Page Strategic number 58579551 Wellcome Trust Finance plc Strategic Report For the year ended 30 September 2014
47 CFR 95.671 - Serial number.
Code of Federal Regulations, 2014 CFR
2014-10-01
...Telecommunication 5 2014-10-01 2014-10-01 false Serial number. 95.671 Section 95.671 Telecommunication...Certification Requirements for Cb Transmitters § 95.671 Serial number. The serial number of each CB transmitter must be engraved...
47 CFR 95.671 - Serial number.
Code of Federal Regulations, 2011 CFR
2011-10-01
...Telecommunication 5 2011-10-01 2011-10-01 false Serial number. 95.671 Section 95.671 Telecommunication...Certification Requirements for Cb Transmitters § 95.671 Serial number. The serial number of each CB transmitter must be engraved...
47 CFR 95.671 - Serial number.
Code of Federal Regulations, 2012 CFR
2012-10-01
...Telecommunication 5 2012-10-01 2012-10-01 false Serial number. 95.671 Section 95.671 Telecommunication...Certification Requirements for Cb Transmitters § 95.671 Serial number. The serial number of each CB transmitter must be engraved...
47 CFR 95.671 - Serial number.
Code of Federal Regulations, 2013 CFR
2013-10-01
...Telecommunication 5 2013-10-01 2013-10-01 false Serial number. 95.671 Section 95.671 Telecommunication...Certification Requirements for Cb Transmitters § 95.671 Serial number. The serial number of each CB transmitter must be engraved...
KIAS SEOUL, February 2004 Transcendental Number Theory
Waldschmidt, Michel
KIAS SEOUL, February 2004 Transcendental Number Theory: the State of the Art Michel Waldschmidt of transcendental numbers. http://www.math.jussieu.fr/miw/ 2 #12;Early History ( 1934) J. Liouville(1844) Â First examples of transcendental numbers. n1 10-n! is transcendental Idea of the proof. If is an algebraic
Insights into Our Understandings of Large Numbers
ERIC Educational Resources Information Center
Kastberg, Signe E.; Walker, Vicki
2008-01-01
This article explores prospective teachers' understandings of one million to gain insights into the development of adult understanding of large numbers. Themes in the prospective teachers' work included number associated with a quantity of objects, number as an abstraction, and additive and multiplicative approaches. The authors suggest that the…
The Decimal Representation of Real Numbers
ERIC Educational Resources Information Center
Kalapodi, A.
2010-01-01
The representation of natural numbers in decimal form is an unequivocal procedure while for the representation of real numbers some ambiguities concerning the existence of infinitely many digits equal to 9 still emerge. One of the most frequently confronted misunderstandings is whether 0.999...equals 1 or not, and if not what number does this…
Is n a Prime Number? Manindra Agrawal
Agrawal, Manindra
Is n a Prime Number? Manindra Agrawal IIT Kanpur March 27, 2006, Delft Manindra Agrawal (IIT Kanpur) Is n a Prime Number? March 27, 2006, Delft 1 / 47 #12;Overview 1 The Problem 2 Two Simple, and Slow's Little Theorem 6 An Algorithm Outside the Two Themes Manindra Agrawal (IIT Kanpur) Is n a Prime Number
Ordinality and the nature of symbolic numbers.
Lyons, Ian M; Beilock, Sian L
2013-10-23
The view that representations of symbolic and nonsymbolic numbers are closely tied to one another is widespread. However, the link between symbolic and nonsymbolic numbers is almost always inferred from cardinal processing tasks. In the current work, we show that considering ordinality instead points to striking differences between symbolic and nonsymbolic numbers. Human behavioral and neural data show that ordinal processing of symbolic numbers (Are three Indo-Arabic numerals in numerical order?) is distinct from symbolic cardinal processing (Which of two numerals represents the greater quantity?) and nonsymbolic number processing (ordinal and cardinal judgments of dot-arrays). Behaviorally, distance-effects were reversed when assessing ordinality in symbolic numbers, but canonical distance-effects were observed for cardinal judgments of symbolic numbers and all nonsymbolic judgments. At the neural level, symbolic number-ordering was the only numerical task that did not show number-specific activity (greater than control) in the intraparietal sulcus. Only activity in left premotor cortex was specifically associated with symbolic number-ordering. For nonsymbolic numbers, activation in cognitive-control areas during ordinal processing and a high degree of overlap between ordinal and cardinal processing networks indicate that nonsymbolic ordinality is assessed via iterative cardinality judgments. This contrasts with a striking lack of neural overlap between ordinal and cardinal judgments anywhere in the brain for symbolic numbers, suggesting that symbolic number processing varies substantially with computational context. Ordinal processing sheds light on key differences between symbolic and nonsymbolic number processing both behaviorally and in the brain. Ordinality may prove important for understanding the power of representing numbers symbolically. PMID:24155309
The total bondage number of grid graphs
Hu, Fu-Tao; Xu, Jun-Ming
2011-01-01
The total domination number of a graph $G$ without isolated vertices is the minimum number of vertices that dominate all vertices in $G$. The total bondage number $b_t(G)$ of $G$ is the minimum number of edges whose removal enlarges the total domination number. This paper considers grid graphs. An $(n,m)$-grid graph $G_{n,m}$ is defined as the cartesian product of two paths $P_n$ and $P_m$. This paper determines the exact values of $b_t(G_{n,2})$ and $b_t(G_{n,3})$, and establishes some upper bounds of $b_t(G_{n,4})$.
Historical Objections Against the Number Line
NASA Astrophysics Data System (ADS)
Heeffer, Albrecht
2011-09-01
Historical studies on the development of mathematical concepts will help mathematics teachers to relate their students' difficulties in understanding to conceptual problems in the history of mathematics. We argue that one popular tool for teaching about numbers, the number line, may not be fit for early teaching of operations involving negative numbers. Our arguments are drawn from the many discussions on negative numbers during the seventeenth and eighteenth centuries from philosophers and mathematicians such as Arnauld, Leibniz, Wallis, Euler and d'Alembert. Not only does division by negative numbers pose problems for the number line, but even the very idea of quantities smaller than nothing has been challenged. Drawing lessons from the history of mathematics, we argue for the introduction of negative numbers in education within the context of symbolic operations.
19 CFR 24.5 - Filing identification number.
Code of Federal Regulations, 2010 CFR
2010-04-01
...number has been assigned, the Social Security number. (2) If neither an Internal...identification number nor a Social Security number has been assigned, the word...identification number or a Social Security number, an importer...
19 CFR 24.5 - Filing identification number.
Code of Federal Regulations, 2011 CFR
2011-04-01
...number has been assigned, the Social Security number. (2) If neither an Internal...identification number nor a Social Security number has been assigned, the word...identification number or a Social Security number, an importer...
On the binary expansions of algebraic numbers
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl
2003-07-01
Employing concepts from additive number theory, together with results on binary evaluations and partial series, we establish bounds on the density of 1's in the binary expansions of real algebraic numbers. A central result is that if a real y has algebraic degree D > 1, then the number {number_sign}(|y|, N) of 1-bits in the expansion of |y| through bit position N satisfies {number_sign}(|y|, N) > CN{sup 1/D} for a positive number C (depending on y) and sufficiently large N. This in itself establishes the transcendency of a class of reals {summation}{sub n{ge}0} 1/2{sup f(n)} where the integer-valued function f grows sufficiently fast; say, faster than any fixed power of n. By these methods we re-establish the transcendency of the Kempner--Mahler number {summation}{sub n{ge}0}1/2{sup 2{sup n}}, yet we can also handle numbers with a substantially denser occurrence of 1's. Though the number z = {summation}{sub n{ge}0}1/2{sup n{sup 2}} has too high a 1's density for application of our central result, we are able to invoke some rather intricate number-theoretical analysis and extended computations to reveal aspects of the binary structure of z{sup 2}.
Maximum Sunspot Numbers and Active Days
NASA Astrophysics Data System (ADS)
Chang, Heon-Young
2013-09-01
Parameters associated with solar minimum have been studied to relate them to solar activity at solar maximum so that one could possibly predict behaviors of an upcoming solar cycle. The number of active days has been known as a reliable indicator of solar activity around solar minimum. Active days are days with sunspots reported on the solar disk. In this work, we have explored the relationship between the sunspot numbers at solar maximum and the characteristics of the monthly number of active days. Specifically, we have statistically examined how the maximum monthly sunspot number of a given solar cycle is correlated with the slope of the linear relationship between monthly sunspot numbers and the monthly number of active days for the corresponding solar cycle. We have calculated the linear correlation coefficient r and the Spearman rank-order correlation coefficient rs for data sets prepared under various conditions. Even though marginal correlations are found, they turn out to be insufficiently significant (r ~ 0.3). Nonetheless, we have confirmed that the slope of the linear relationship between monthly sunspot numbers and the monthly number of active days is less steep when solar cycles belonging to the "Modern Maximum" are considered compared with rests of solar cycles. We conclude, therefore, that the slope of the linear relationship between monthly sunspot numbers and the monthly number of active days is indeed dependent on the solar activity at its maxima, but that this simple relationship should be insufficient as a valid method to predict the following solar activity amplitude.
Deafness for the meanings of number words
Caño, Agnès; Rapp, Brenda; Costa, Albert; Juncadella, Montserrat
2008-01-01
We describe the performance of an aphasic individual who showed a selective impairment affecting his comprehension of auditorily presented number words and not other word categories. His difficulty in number word comprehension was restricted to the auditory modality, given that with visual stimuli (written words, Arabic numerals and pictures) his comprehension of number and non-number words was intact. While there have been previous reports of selective difficulty or sparing of number words at the semantic and post-semantic levels, this is the first reported case of a pre-semantic deficit that is specific to the category of number words. This constitutes evidence that lexical semantic distinctions are respected by modality-specific neural mechanisms responsible for providing access to the meanings of words. PMID:17915265
Complex architecture of primes and natural numbers.
García-Pérez, Guillermo; Serrano, M Ángeles; Boguñá, Marián
2014-08-01
Natural numbers can be divided in two nonoverlapping infinite sets, primes and composites, with composites factorizing into primes. Despite their apparent simplicity, the elucidation of the architecture of natural numbers with primes as building blocks remains elusive. Here, we propose a new approach to decoding the architecture of natural numbers based on complex networks and stochastic processes theory. We introduce a parameter-free non-Markovian dynamical model that naturally generates random primes and their relation with composite numbers with remarkable accuracy. Our model satisfies the prime number theorem as an emerging property and a refined version of Cramér's conjecture about the statistics of gaps between consecutive primes that seems closer to reality than the original Cramér's version. Regarding composites, the model helps us to derive the prime factors counting function, giving the probability of distinct prime factors for any integer. Probabilistic models like ours can help to get deeper insights about primes and the complex architecture of natural numbers. PMID:25215780
Chromatic Ramsey Numbers Department of Applied Mathematics
Zhu, Xuding
. ErdÂ¨os and L. Lov'asz that M n = (n \\Gamma 1) 2 +1. This conjecture has been confirmed previously. Burr, P. ErdÂ¨os and L. Lov'asz [1] is to find the smallest possible chromatic number of such a graph in the number M n = minfr c (G) : G 2 K n g: This number was first studied by S. A. Burr, P. ErdÂ¨os and L. Lov
HotBits: Genuine Random Numbers
NSDL National Science Digital Library
Walker, John
HotBits is a genuine random number generator powered by radioactive decay. Simply click the "Request HotBits" link, and specify how many bytes you would like (up to 2048) and in what form you prefer them. Hexadecimal returns numbers and letters, while C language returns integers. Then click the "Get HotBits" button, and your random numbers will appear on the screen.
Towards even and odd squeezed number states
Nieto, M.M. |
1998-03-01
The time evolution of even and odd squeezed states, as well as that of squeezed number states, has been given in simple, analytic form. This follows experimental work on trapped ions which has demonstrated even and odd coherent states, number states, and squeezed (but not displaced) ground states. The authors review this situation and consider the extension to even and odd squeezed number states. Questions of uncertainty relations are also discussed.
Demonstrations of the Enormity of Avogadro's Number.
ERIC Educational Resources Information Center
Diemente, Damon
1998-01-01
Describes three calculations used to make students aware of the size of Avogadro's number: (1) the new size of a 6-inch diameter ball with volume increased by a factor of Avogadro's number; (2) the number of moles of sand grains in the Sahara Desert; and (3) the dimensions and length of a mole of hydrogen atoms shaped into a cube, a square, and a…
Help With Fractions: Seeing Them As Numbers
NSDL National Science Digital Library
Roger
2011-01-01
In this informative webpage, teachers are given ideas on how to test what their students know about fractions on a number line, as well as some easy ideas to get students comfortable with placing fractions on a number line. There is a 2:50 minute video explaining how to place fractions on a number line. Two printable practice sheets are available in PDF format.
Predicting landfalling hurricane numbers from basin hurricane numbers: basic statistical analysis
Laepple, T; Penzer, J; Bellone, E; Nzerem, K; Laepple, Thomas; Jewson, Stephen; Penzer, Jeremy; Bellone, Enrica; Nzerem, Kechi
2007-01-01
One possible method for predicting landfalling hurricane numbers is to first predict the number of hurricanes in the basin and then convert that prediction to a prediction of landfalling hurricane numbers using an estimated proportion. Should this work better than just predicting landfalling hurricane numbers directly? We perform a basic statistical analysis of this question in the context of a simple abstract model.
THE LIMIT OF A SEQUENCE OF NUMBERS DEFINITION OF THE NUMBER e.
Baggett, Lawrence W.
CHAPTER II THE LIMIT OF A SEQUENCE OF NUMBERS DEFINITION OF THE NUMBER e. This chapter contains of the limit of a sequence, (2) The definition of the real number e (Theorem 2.3), (3) The Squeeze Theorem in later chapters. SEQUENCES AND LIMITS DEFINITION. A sequence of real or complex numbers is defined
Zooming in and out from the Mental Number Line: Evidence for a Number Range Effect
ERIC Educational Resources Information Center
Pinhas, Michal; Pothos, Emmanuel M.; Tzelgov, Joseph
2013-01-01
The representation of numbers is commonly viewed as an ordered continuum of magnitudes, referred to as the "mental number line." Previous work has repeatedly shown that number representations evoked by a given task can be easily altered, yielding an ongoing discussion about the basic properties of the mental number line and how malleable…
Department .: Sociology Course number : Soci 259W
Alpay, S. Pamir
Department .: Sociology Course number : Soci 259W Title : Energy, Environment, and Society Credits Semester. Three credits . Sociological perspectives on energy production, distribution and consumption
CRC octane number requirement survey 1992
Not Available
1993-08-01
An annual statistical survey of octane number requirements of current model vehicles is conducted by the Coordinating Research Council, Inc. Test data have been obtained by ten companies on 184 1992 vehicles including passenger cars and light-duty trucks and vans, of which 88 were equipped with knock sensors. Octane number requirements were determined by testing at maximum-throttle conditions, as well as at part-throttle, with four unleaded fuel series of varying sensitivities, one containing 15 percent methyl tertiary butyl ether. Requirements are expressed as the (R+M)/2 octane number, Research octane number, and Motor octane number of the reference fuel producing knock which was recurrent and repeatable at the lowest audible level. Estimated octane number requirements for the total vehicles are weighted in proportion to the 1992 vehicle model production and/or sales figures. The octane number requirements of 1992 models with average sensitivity unleaded fuels were 85.1 (R+M)/2 octane numbers at the 50 percent satisfaction level, and 92.0 (R+M)/2 octane numbers at the 90 percent satisfaction level. In order to make a more powerful test of statistical significance of the FBRUM fuel series, the 1991 ONRS was pooled with the 1992 ONRS and compared with the pooled data for the FBRU fuel series. There was no significant difference between the two fuel series up to about 90 percent satisfaction. Beyond 90 percent satisfaction, the variability in the data is high.
The discounted reproductive number for epidemiology.
Reluga, Timothy C; Medlock, Jan; Galvani, Alison
2009-04-01
The basic reproductive number, R(0), and the effective reproductive number, R, are commonly used in mathematical epidemiology as summary statistics for the size and controllability of epidemics. However, these commonly used reproductive numbers can be misleading when applied to predict pathogen evolution because they do not incorporate the impact of the timing of events in the life-history cycle of the pathogen. To study evolution problems where the host population size is changing, measures like the ultimate proliferation rate must be used. A third measure of reproductive success, which combines properties of both the basic reproductive number and the ultimate proliferation rate, is the discounted reproductive number R(d). The discounted reproductive number is a measure of reproductive success that is an individual's expected lifetime offspring production discounted by the background population growth rate. Here, we draw attention to the discounted reproductive number by providing an explicit definition and a systematic application framework. We describe how the discounted reproductive number overcomes the limitations of both the standard reproductive numbers and proliferation rates, and show that R(d) is closely connected to Fisher's reproductive values for different life-history stages. PMID:19364158
CRC octane number requirement survey for 1989
Not Available
1990-08-01
An annual statistical survey of octane number requirements of current model vehicles is conducted by the Coordinating Research Council, Inc. Test data have been obtained by eighteen companies on 391 1989 vehicles including passenger cars and light-duty trucks and vans, of which 179 were equipped with knock sensors. Maximum octane number requirements were determined by testing at maximum-throttle conditions, as well as at part-throttle, with three unleaded fuel series of varying sensitivities. Requirements are expressed as the (R+M)/2 octane number, Research octane number, and Motor octane number of the reference fuel producing knock which was recurrent and repeatable at the lowest audible level. Estimated octane number requirements for the total vehicles are weighted in proportion to the 1989 vehicle model production and/or sales figures. The maximum octane number requirements of 1989 models with average sensitivity unleaded fuels were 85.1 (R+M)/2 octane numbers at the 50 percent satisfaction level, and 89.2 (R+M)/2 octane numbers at the 90 percent satisfaction level. Comparison with previous Surveys are made in this report.
CRC octane-number-requirement survey, 1990
Not Available
1991-07-01
An annual statistical survey of octane number requirements of current model vehicles is conducted by the Coordinating Research Council, Inc. Test data have been obtained by seventeen companies on 356 1990 vehicles including passenger cars and light-duty trucks and vans, of which 169 were equipped with knock sensors. Octane number requirements were determined by testing at maximum-throttle conditions, as well as at part-throttle, with three unleaded fuel series of varying sensitivities. Requirements are expressed as the (R+M)/2 octane number, Research octane number, and Motor octane number of the reference fuel producing knock which was recurrent and repeatable at the lowest audible level. Estimated octane number requirements for the total vehicles are weighted in proportion to the 1990 vehicle model production and/or sales figures. The octane number requirements of 1990 models with average sensitivity unleaded fuels were 85.4 (R+M)/2 octane numbers at the 50 percent satisfaction level, and 89.2 (R+M)/2 octane numbers at the 90 percent satisfaction level.
Intestinal flow of a couple stress nanofluid in arteries.
Akbar, Noreen Sher; Nadeem, S
2013-12-01
The current article discusses the influence of nanofluid on the peristaltic flow of an incompressible couple stress fluid in a two-dimensional uniform tube. The problem formulation is accessible in an upsurge structure of orientation for equations of momentum, energy, and concentrations. The continuity, linear momentum, energy, and nanoparticle equations lead to the mathematical development. HPM is used to get the solutions for velocity, temperature, nanoparticle, and pressure gradient. The solutions contain the Brownian motion number N(b), thermophoresis number N(t), local temperature Grashof number B(r), and local nanoparticle Grashof number G(r). The physical features of different embedded parameters are analyzed and discussed physically in detail. PMID:23974660
Peristaltic flow of a micropolar fluid with nano particles in small intestine
NASA Astrophysics Data System (ADS)
Akbar, Noreen Sher; Nadeem, S.
2013-12-01
The present article analyzed the peristaltic flow of a nanofluid in a uniform tube for micropolar fluid. The governing equations for proposed model are developed in cylindrical coordinates system. The flow is discussed in a wave frame of reference moving with velocity of the wave c. Under the assumptions of longwave length the reduced coupled nonlinear differential equations of momentum, energy, and concentrations are solved by Homotopy perturbation method is used to get the solutions for velocity, temperature, nano particle, microrotation component. The solutions consists Brownian motion number N b, thermophoresis number N t, local temperature Grashof number B r and local nano particle Grashof number G r . The effects of various parameters involved in the problem are investigated for pressure rise, pressure gradient, temperature and concentration profile. Five different waves are taken into account for analysis. Streamlines have been plotted at the end of the article.
Predicted Variations in Flow Patterns in a Horizontal CVD Reactor
NASA Technical Reports Server (NTRS)
Kuczmarski, Maria A.
1999-01-01
Expressions in terms of common reactor operating parameters were derived for the ratio of the Grashof number to the Reynolds number, Gr/Re, the ratio of the Grashof to the square of 2 the Reynolds number, Gr/Re(exp 2), and the Rayleigh number, Ra. Values for these numbers were computed for an example horizontal CVD reactor and compared to numerical simulations to gauge their effectiveness as predictors of the presence or absence of transverse and longitudinal rolls in the reactor. Comparisons were made for both argon and hydrogen carrier gases over the pressure range 2- 101 kPa. Reasonable agreement was achieved in most cases when using Gr/Re to predict the presence of transverse rolls and Ra to predict the presence of longitudinal rolls. The ratio Gr/Re(exp 2) did not yield useful predictions regarding the presence of transverse rolls. This comparison showed that the ratio of the Grashof number to the Reynolds number, as well as the Rayleigh number, can be used to predict the presence or absence of transverse and longitudinal rolls in a horizontal CVD reactor for a given set of reactor conditions. These predictions are approximate, and care must be exercised when making predictions near transition regions.
VOLUME 2 NUMBER 3 AUGUST 1975 ANTHROPOLOGY
White, Douglas R.
VOLUME 2 · NUMBER 3 · AUGUST 1975 REVIEWS IN ANTHROPOLOGY CONTENTS DOUGLAS R. WHITE I Process 358 \\ #12;Volume 2 . Number 3 . August 1975 Copyright © 1975 by Docent Corporation. All rights. This volume brings to- ether many of his papers on processual theories in cultural anthropology nd contains
MARINE RESEARCH Volume 62, Number 1
Griffa, Annalisa
, and prediction of pollutionspreading from industrial plants as well as oil spills due to accidents at seaJournal of MARINE RESEARCH Volume 62, Number 1 Predictability of Lagrangian particle trajectories. Motivated by the interest in transport problems, a number of different methods have been developed
On the bondage number of a graph
Yue-li Wang
1996-01-01
The bondage number b(G) of a graph G is the minimum cardinality of a set of edges of G whose removal from G makes the domination number of G increase. There are several papers discussed the upper bound of b(G). In this paper, we shall give an improved upper bound of b(G).
Brandeis University Psychology current number of majors
Hickey, Timothy J.
research in diverse areas including cognitive science; normal and abnormal psychology; health psychologyBrandeis University Psychology fast facts current number of majors and minors: 282 NumberBoUt the Program the Department of Psychology helps students establish a strong scientific and research foundation
Love numbers of the giant planets
S. V. Gavrilov; V. N. Zharkov
1977-01-01
The Love numbers for n = 2 to 10 were calculated for Jupiter, Saturn, and Uranus, and 'gravitational noise' from tides were determined. On the basis of these new Love numbers, the planetary dissipation functions are estimated to be greater than approximately 25,000, 14,000, and 5000 for Jupiter, Saturn, and Uranus, respectively.
Search for lepton-family-number nonconservation
Hoffman, C.M.
1986-01-01
A review of the status of lepton-family-number nonconservation is given. After a brief historical and theoretical discussion, a description of how experimental searches for lepton-family-number nonconservation are performed is presented. Finally, a summary of the results from past experiments and prospects for future experiments is given.
Veterinary Seizure Detector Report Number 1
Levi, Anthony F. J.
Veterinary Seizure Detector Report Number 1 Page 1 of 20 DISTRIBUTION STATEMENT: Distribution authorized to all. Veterinary Seizure Detector Report Number 1 Submitted by Nicolas Roy University) 393 8351 Email nroy@usc.edu Date: April 27, 2010 Work performed at USC #12;Veterinary Seizure Detector
The Elimination Procedure for the Phylogeny Number
Hartke, Stephen
are closely related to the widely studied competition graphs introduced by Cohen [1] and the competition related to the widely studied competition graphs. The phylogeny number p(G) for an undirected graph G on the exactness of their elimination procedure for the competition number on kite-free graphs. Appeared in Ars
Type Name Call Number Scale Topographic
York Assessment Sheets]. Sheet Number: 40 G/3524/T67 G44/2/1991/sheet 40 1:2,390 Cadastral Map [Borough of North York Cadastral Map]. Sheet Number: 40N 3524/T67 G46/2/1978/no.40/copy 1 1:2,000 Property Data Map
Ultra Low Reynolds Number Airfoil Testing Facility
Michael Kerho
This paper documents research being performed under a SBIR Phase II program funded by NASA Dryden Flight Research Center. The paper will discuss the design, set-up, and initial testing of a new ultra low Reynolds number water tunnel airfoil testing facility. The new water tunnel 2-D airfoil facility is designed to test airfoil sections at low Reynolds numbers ranging from
Historical Objections against the Number Line
ERIC Educational Resources Information Center
Heeffer, Albrecht
2011-01-01
Historical studies on the development of mathematical concepts will help mathematics teachers to relate their students' difficulties in understanding to conceptual problems in the history of mathematics. We argue that one popular tool for teaching about numbers, the number line, may not be fit for early teaching of operations involving negative…
The Second Strong Law of Small Numbers.
ERIC Educational Resources Information Center
Guy, Richard K.
1990-01-01
Presented are 44 examples in which students are invited to guess what pattern of numbers is emerging and to decide whether the pattern will persist. Topics of examples include Pascal's triangle, integers, vertices, Fibonacci numbers, power series, partition functions, and Euler's theorem. The answers to all problems are included. (KR)
Math Sense: Whole Numbers and Money.
ERIC Educational Resources Information Center
Phillips, Jan
This book is designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers and addition, subtraction, multiplication, and division. Lessons are…
Appendix 36 Number of KEFs by Biome
Appendix 36 Number of KEFs by Biome Table 1. The number of Key Ecological Functions performed by the biomes pertinent to Sub basin planning Select Key Ecological Functions Eastside (Interior) Grasslands-eater) 18 12 19 27 13 11 100 1.1.1.10) flower/bud/catkin feeder 9 12 15 2 10 11 59 1.1.1.11) aquatic
ERIC Educational Resources Information Center
Florida Learning Resources System/CROWN, Jacksonville.
The teaching guide outlines developmentally sequenced activities for learning the basic computational skills. Sections cover sequential steps for the addition, subtraction, multiplication, and division of whole numbers; information on developing building kits and sample worksheets; the use of number sheets (sample sheets are provided); and the use…
A Thermodynamic Classification of Real Numbers
Garrity, Thomas
2008-01-01
A new classification scheme for real numbers is given, motivated by ideas from statistical mechanics in general and work of Knauf and of Fiala and Kleban in particular. Critical for this classification of a real number will be the Diophantine properties of its continued fraction expansion.
A Thermodynamic Classification of Real Numbers
Thomas Garrity
2009-03-15
A new classification scheme for real numbers is given, motivated by ideas from statistical mechanics in general and work of Knauf and of Fiala and Kleban in particular. Critical for this classification of a real number will be the Diophantine properties of its continued fraction expansion.
The maximal number of exceptional Dehn surgeries
Lackenby, Marc
2008-01-01
We prove two conjectures of C. Gordon. We show that the maximal number of exceptional Dehn surgeries on a 1-cusped hyperbolic 3-manifold is 10, and that the maximal intersection number between exceptional slopes is 8. The proof uses a combination of new geometric techniques and a rigorous computer-assisted calculation.
To Develop Young Children's Conception of Numbers.
ERIC Educational Resources Information Center
Doverborg, Elisabet; Samuelsson, Ingrid Pramling
2000-01-01
Evaluated an instructional procedure that focused on reflective problem-solving and used young children's fascination with stars as a starting point to develop their concept of numbers. Found that test group performance on mathematics problem- solving tasks indicated developing understanding of the concept of numbers 1 through 5, compared to that…
Infinite Sums of M-Bonacci Numbers
ERIC Educational Resources Information Center
A-iru, Muniru A.
2009-01-01
In this note, we construct infinite series using M-bonacci numbers in a manner similar to that used in previous studies and investigate the convergence of the series to an integer. Our results generalize the ones obtained for Fibonacci numbers.
National Resources [and] National Toll Free Numbers.
ERIC Educational Resources Information Center
National Information Center for Children and Youth with Disabilities, Washington, DC.
This resource list provides names, addresses, and telephone numbers of 13 information clearinghouses and 42 organizations providing information on children and youth with disabilities. Telephone numbers are designated as either voice or text telephone. Spanish-language resources are also indicated. A list of organizations that have national…
ERIC Educational Resources Information Center
Goldenhersh, Barbara, Ed.
This document consists of three issues of the journal "Seedbed," an outcome of the Teachers' Center Project at Southern Illinois University at Edwardsville (SIUE). Issue Number 29 contains 67 articles on teachers' ideas that they thought worth sharing with other teachers. Issue Number 30 consists of a single paper, "Children and Mathematics in the…
Inhibition, Conflict Detection, and Number Conservation
ERIC Educational Resources Information Center
Lubin, Amélie; Simon, Grégory; Houdé, Olivier; De Neys, Wim
2015-01-01
The acquisition of number conservation is a critical step in children's numerical and mathematical development. Classic developmental studies have established that children's number conservation is often biased by misleading intuitions. However, the precise nature of these conservation errors is not clear. A key question is whether conservation…
Language Influence on Children's Cognitive Number Representation
ERIC Educational Resources Information Center
Alsawaie, Othman N.
2004-01-01
This study examined the effect of language on children's cognitive representation of number. The sample for the study consisted of 90 Arabic speaking children with a mean age of 80 months. Children were interviewed individually and asked to represent written two-digit numbers using base-10 blocks. A new approach for testing the linguistic…
Understanding a Child's Development of Number Sense
NSDL National Science Digital Library
Marilyn Burns
2011-01-01
The brief video clips on this webpage illustrate the range of number sense exhibited by students in grades Pre K-2. In interviews, Cena and Jonathan, both age 7, and Rudy, age 9, demonstrate different levels of understanding number and place value concepts. The page includes discussion questions for each set of videos as well as concluding reflection questions.
Fostering Number Sense through Digits and Dice
ERIC Educational Resources Information Center
Wiest, Lynda R.
2006-01-01
Games are among the many types of activities that can be used to help promote number sense. Chosen and used wisely, games encourage learning and motivate many students to grasp concepts more quickly and fully. This article describes a popular and easy-to-implement number sense game--called Digits and Dice--most commonly used in conjunction with…
Teaching Number in the Early Elementary Years
ERIC Educational Resources Information Center
Cain, Chris R.; Faulkner, Valerie N.
2011-01-01
The widely adopted Common Core State Standards for Mathematics (CCSSM) are designed to deepen instruction of number sense and will demand that elementary school teachers have a strong understanding of number. These changes arrive at a time when it is still understood that teachers and the curriculum in the United States have not been fundamentally…
Families of Linear Recurrences for Catalan Numbers
ERIC Educational Resources Information Center
Gauthier, N.
2011-01-01
Four different families of linear recurrences are derived for Catalan numbers. The derivations rest on John Riordan's 1973 generalization of Catalan numbers to a set of polynomials. Elementary differential and integral calculus techniques are used and the results should be of interest to teachers and students of introductory courses in calculus…
On the Concept Image of Complex Numbers
ERIC Educational Resources Information Center
Nordlander, Maria Cortas; Nordlander, Edvard
2012-01-01
A study of how Swedish students understand the concept of complex numbers was performed. A questionnaire was issued reflecting the student view of own perception. Obtained answers show a variety of concept images describing how students adopt the concept of complex numbers. These concept images are classified into four categories in order to…
When Symbolic Spatial Cues Go before Numbers
ERIC Educational Resources Information Center
Herrera, Amparo; Macizo, Pedro
2011-01-01
This work explores the effect of spatial cueing on number processing. Participants performed a parity judgment task. However, shortly before the target number, a cue (arrow pointing to left, arrow pointing to right or a cross) was centrally presented. In Experiment 1, in which responses were lateralized, the cue direction modulated the interaction…
Online Classification Number Access: Some Practical Considerations.
ERIC Educational Resources Information Center
Hill, Janet Swan
1984-01-01
Discussion of subject access through classification number searching in online library catalogs highlights the present classification climate, increased potential for classification retrieval, effect of past and present practice on effectiveness of class number access, and proposals for action. Thirty-two sources are given. (EJS)
Problem of the Week Number Five
Arnold, Elizabeth A.
Problem of the Week Number Five October 6, 2014 Having taken last week off, we now return wth on an official POTW handout, on the back of this page. Place your name, e-mail address, and the section numbers to the problem is displayed clearly and prominently, in a box when appropriate. Keep in mind, however
Problem of the Week Number Nine
Arnold, Elizabeth A.
Problem of the Week Number Nine April 7, 2014 This week we continue our exploration of non and possibly false," then the tables practically fill in themselves. With that in mind, what can you deduce. Place your name, e-mail address, and the section numbers and profes- sors of any math courses you
Problem of the Week Number Seven
Arnold, Elizabeth A.
Problem of the Week Number Seven October 20, 2014 Let's get right to it. Here is this week name, e-mail address, and the section numbers and professors of any math courses you are taking when appropriate. Keep in mind, however, that to be considered correct, your answer to the problem must
Dept.: Physics PHYS Course number: 103
Alpay, S. Pamir
Dept.: Physics PHYS Course number: 103 Course title: Physics of the Environment Number of Credits Proposed Cat Copy: PHYS-103Q. Physics of the Environment. Either semester. Three credits. Recommended physics". Not open for credit to students who have passed PHYS- 104Q Concepts of physics applied
A Generalization of the Prime Number Theorem
ERIC Educational Resources Information Center
Bruckman, Paul S.
2008-01-01
In this article, the author begins with the prime number theorem (PNT), and then develops this into a more general theorem, of which many well-known number theoretic results are special cases, including PNT. He arrives at an asymptotic relation that allows the replacement of certain discrete sums involving primes into corresponding differentiable…
Brandeis University Politics current number of majors
Hickey, Timothy J.
Brandeis University Politics fast facts current number of majors and minors: 176 Number of faculty analytical case study, including comparative case study, of the politics of democratic and democratizing regimes Popular second majors: history, international and global studies Website: brandeis.edu/departments/politics
Fostering At-Risk Preschoolers' Number Sense
ERIC Educational Resources Information Center
Baroody, Arthur; Eiland, Michael; Thompson, Bradley
2009-01-01
Research Findings: A 9-month study served to evaluate the effectiveness of a pre-kindergarten number sense curriculum. Phase 1 of the intervention involved manipulative-, game-based number sense instruction; Phase 2, computer-aided mental-arithmetic training with the simplest sums. Eighty 4- and 5-year-olds at risk for school failure were randomly…
From Whole Numbers to Invert and Multiply
ERIC Educational Resources Information Center
Cavey, Laurie O.; Kinzel, Margaret T.
2014-01-01
Teachers report that engaging students in solving contextual problems is an important part of supporting student understanding of algorithms for fraction division. Meaning for whole-number operations is a crucial part of making sense of contextual problems involving rational numbers. The authors present a developed instructional sequence to…
Toward a Common Course Numbering System.
ERIC Educational Resources Information Center
Stanback-Stroud, Regina; And Others
The Academic Senate of the California Community Colleges has undertaken an examination of the potential implications for articulation, curricula, and local college planning of moving to a common course numbering system (CCNS) in the colleges. Three possible methods for a CCNS include the following: (1) using the same number and prefix on courses…
WELCOME TO BISHOP'S UNIVERSITY! FREQUENTLY USED NUMBERS
and 4pm, Monday through Friday. Telephones Each student is provided with a phone in his or her room telephones cannot be used in residence. Phones remain the property of the University. Each student-digit extension number. Local calls Dial 9 + 10-digit local telephone number. Example: 9 + 819 822 3990
Emergency Response and Phone EMERGENCY TELEPHONE NUMBERS
Tullos, Desiree
153 Emergency Response and Phone Numbers EMERGENCY TELEPHONE NUMBERS Fire Department 911 Ambulance displayed on every Oregon State University telephone. FATALITY OR OTHER SERIOUS ACCIDENT Any on WITHIN 8 HOURS by telephone to Environmental Health and Safety (7-2273), who in turn will make
Number Theory in the Elementary School.
ERIC Educational Resources Information Center
Beougher, Elton E.
The paper presents reasons for teaching topics from number theory to elementary school students: (1) it can help reveal why numbers "act" in a certain way when added, multiplied, etc., (2) it offers drill material in new areas of mathematics, (3) it can develop interest - as mathematical enrichment, (4) it offers opportunities for students to…
Company number 5857955 Wellcome Trust Finance plc
Rambaut, Andrew
Company number 5857955 Wellcome Trust Finance plc Annual Report and Financial Statements Year ended 30 September 2013 #12;Company number 5857955 Wellcome Trust Finance plc Contents Page Directors Trust Finance plc Directors' Report For the year ended 30 September 2013 Report of the Directors
Company number 5857955 Wellcome Trust Finance plc
Rambaut, Andrew
Company number 5857955 Wellcome Trust Finance plc Annual Report and Financial Statements Year ended 30 September 2012 #12;Company number 5857955 Wellcome Trust Finance plc Contents Page Directors Trust Finance plc Directors' Report for the year ended 30 September 2012 Report of the Directors
Number of Oxidations Relative to Methylene.
ERIC Educational Resources Information Center
Kjonaas, Richard A.
1986-01-01
Describes a new way of quantifying organic oxidation-reduction reactions that extends the traditional method of assigning oxidation numbers by replacing them with NORM's (Number of Oxidations Relative to Methylene). This modification allows the system to be applied to more complex examples without the cumbersomeness inherent in the original…
Writing about Numbers We Should Know
NSDL National Science Digital Library
Neil Lutsky
This opening assignment for an introductory quantitative reasoning course asks students to write about "Numbers We Should Know." Its goal is to help students begin to think quantitatively, evaluate the sources of quantitative information critically, and write using numbers precisely and thoughtfully.
FACE NUMBERS OF PSEUDOMANIFOLDS WITH ISOLATED SINGULARITIES
Novik, Isabella
FACE NUMBERS OF PSEUDOMANIFOLDS WITH ISOLATED SINGULARITIES ISABELLA NOVIK AND ED SWARTZ Abstract We investigate the face numbers of simplicial complexes with Buchsbaum vertex links, especially homologically isolated. We give formulas for the Hilbert function of a generic Artinian reduction of the face
Relativistic theory of surficial Love numbers
NASA Astrophysics Data System (ADS)
Landry, Philippe; Poisson, Eric
2014-06-01
A relativistic theory of surficial Love numbers, which characterize the surface deformation of a body subjected to tidal forces, was initiated by Damour and Nagar. We revisit this effort in order to extend it, clarify some of its aspects, and simplify its computational implementation. First, we refine the definition of surficial Love numbers proposed by Damour and Nagar and formulate it directly in terms of the deformed curvature of the body's surface, a meaningful geometrical quantity. Second, we develop a unified theory of surficial Love numbers that applies equally well to material bodies and black holes. Third, we derive a compactness-dependent relation between the surficial and (electric-type) gravitational Love numbers of a perfect-fluid body and show that it reduces to the familiar Newtonian relation when the compactness is small. And fourth, we simplify the tasks associated with the practical computation of the surficial and gravitational Love numbers for a material body.
Low Reynolds number airfoil survey, volume 1
NASA Technical Reports Server (NTRS)
Carmichael, B. H.
1981-01-01
The differences in flow behavior two dimensional airfoils in the critical chordlength Reynolds number compared with lower and higher Reynolds number are discussed. The large laminar separation bubble is discussed in view of its important influence on critical Reynolds number airfoil behavior. The shortcomings of application of theoretical boundary layer computations which are successful at higher Reynolds numbers to the critical regime are discussed. The large variation in experimental aerodynamic characteristic measurement due to small changes in ambient turbulence, vibration, and sound level is illustrated. The difficulties in obtaining accurate detailed measurements in free flight and dramatic performance improvements at critical Reynolds number, achieved with various types of boundary layer tripping devices are discussed.
Low Mach Number Modeling of Stratified Flows
NASA Astrophysics Data System (ADS)
Almgren, A. S.; Bell, J. B.; Nonaka, A.; Zingale, M.
2015-06-01
Low Mach number equation sets approximate the equations of motion of a compressible fluid by filtering out the sound waves, which allows the system to evolve on the advective rather than the acoustic time scale. Depending on the degree of approximation, low Mach number models retain some sub set of possible compressible effects. In this paper we give an overview of low Mach number methods for modeling stratified flows arising in astrophysics and atmospheric science as well as low Mach number reacting flows. We discuss how elements from the different fields are combined to form MAESTRO, a code for modeling low Mach number stratified flows with general equations of state, reactions and time-varying stratification.
Roman Bondage Numbers of Some Graphs
Hu, Fu-Tao
2011-01-01
A Roman dominating function on a graph $G=(V,E)$ is a function $f: V\\to \\{0,1,2\\}$ satisfying the condition that every vertex $u$ with $f(u)=0$ is adjacent to at least one vertex $v$ with $f(v)=2$. The weight of a Roman dominating function is the value $f(G)=\\sum_{u\\in V} f(u)$. The Roman domination number of $G$ is the minimum weight of a Roman dominating function on $G$. The Roman bondage number of a nonempty graph $G$ is the minimum number of edges whose removal results in a graph with the Roman domination number larger than that of $G$. This paper determines the exact value of the Roman bondage numbers of two classes of graphs, complete $t$-partite graphs and $(n-3)$-regular graphs with order $n$ for any $n\\ge 5$.
Relativistic theory of surficial Love numbers
Philippe Landry; Eric Poisson
2014-04-27
A relativistic theory of surficial Love numbers, which characterize the surface deformation of a body subjected to tidal forces, was initiated by Damour and Nagar. We revisit this effort in order to extend it, clarify some of its aspects, and simplify its computational implementation. First, we refine the definition of surficial Love numbers proposed by Damour and Nagar, and formulate it directly in terms of the deformed curvature of the body's surface, a meaningful geometrical quantity. Second, we develop a unified theory of surficial Love numbers that applies equally well to material bodies and black holes. Third, we derive a compactness-dependent relation between the surficial and (electric-type) gravitational Love numbers of a perfect-fluid body, and show that it reduces to the familiar Newtonian relation when the compactness is small. And fourth, we simplify the tasks associated with the practical computation of the surficial and gravitational Love numbers for a material body.
Photon-number tomography and fidelity
O. V. Man'ko
2012-12-23
The scheme of photon-number tomography is discussed in the framework of star-product quantization. The connection of dual quantization scheme and observables is reviewed. The quantizer and dequantizer operators and kernels of star product of tomograms in photon-number tomography scheme and its dual one are presented in explicit form. The fidelity and state purity are discussed in photon{number tomographic scheme, and the expressions for fidelity and purity are obtained in the form of integral of the product of two photon-number tomograms with integral kernel which is presented in explicit form. The properties of quantumness are discussed in terms of inequalities on state photon{number tomograms.
Compendium of Experimental Cetane Number Data
Murphy, M. J.; Taylor, J. D.; McCormick, R. L.
2004-09-01
In this report, we present a compilation of reported cetane numbers for pure chemical compounds. The compiled database contains cetane values for 299 pure compounds, including 156 hydrocarbons and 143 oxygenates. Cetane number is a relative ranking of fuels based on the amount of time between fuel injection and ignition. The cetane number is typically measured either in a combustion bomb or in a single-cylinder research engine. This report includes cetane values from several different measurement techniques - each of which has associated uncertainties. Additionally, many of the reported values are determined by measuring blending cetane numbers, which introduces significant error. In many cases, the measurement technique is not reported nor is there any discussion about the purity of the compounds. Nonetheless, the data in this report represent the best pure compound cetane number values available from the literature as of August 2004.
LEAN: laser-etched aqua number
NASA Astrophysics Data System (ADS)
Schell, Karel J.
1998-04-01
A security device on a banknote has to be recognized immediately by the general public and has to enable the general public to establish the genuineness of the banknote. This is the so-called first line of defense. Recently the development of the ability to establish the genuiness has gained momentum and is called 'self authenticating.' Comparing the banknote number with a 'watermark number' can do authenticating. The watermark number is engraved by a laser beam in the paper and is -- as the printed number -- different for each note. Recent progress in the material processing by laser enables the engraving of the individual watermark number for each banknote in line with the production process.
Animal cognition. Number-space mapping in the newborn chick resembles humans' mental number line.
Rugani, Rosa; Vallortigara, Giorgio; Priftis, Konstantinos; Regolin, Lucia
2015-01-30
Humans represent numbers along a mental number line (MNL), where smaller values are located on the left and larger on the right. The origin of the MNL and its connections with cultural experience are unclear: Pre-verbal infants and nonhuman species master a variety of numerical abilities, supporting the existence of evolutionary ancient precursor systems. In our experiments, 3-day-old domestic chicks, once familiarized with a target number (5), spontaneously associated a smaller number (2) with the left space and a larger number (8) with the right space. The same number (8), though, was associated with the left space when the target number was 20. Similarly to humans, chicks associate smaller numbers with the left space and larger numbers with the right space. PMID:25635096
Random numbers spring from alpha decay
Frigerio, N.A.; Sanathanan, L.P.; Morley, M.; Clark, N.A.; Tyler, S.A.
1980-05-01
Congruential random number generators, which are widely used in Monte Carlo simulations, are deficient in that the number they generate are concentrated in a relatively small number of hyperplanes. While this deficiency may not be a limitation in small Monte Carlo studies involving a few variables, it introduces a significant bias in large simulations requiring high resolution. This bias was recognized and assessed during preparations for an accident analysis study of nuclear power plants. This report describes a random number device based on the radioactive decay of alpha particles from a /sup 235/U source in a high-resolution gas proportional counter. The signals were fed to a 4096-channel analyzer and for each channel the frequency of signals registered in a 20,000-microsecond interval was recorded. The parity bits of these frequency counts (0 for an even count and 1 for an odd count) were then assembled in sequence to form 31-bit binary random numbers and transcribed to a magnetic tape. This cycle was repeated as many times as were necessary to create 3 million random numbers. The frequency distribution of counts from the present device conforms to the Brockwell-Moyal distribution, which takes into account the dead time of the counter (both the dead time and decay constant of the underlying Poisson process were estimated). Analysis of the count data and tests of randomness on a sample set of the 31-bit binary numbers indicate that this random number device is a highly reliable source of truly random numbers. Its use is, therefore, recommended in Monte Carlo simulations for which the congruential pseudorandom number generators are found to be inadequate. 6 figures, 5 tables.
33 CFR 62.43 - Numbers and letters.
Code of Federal Regulations, 2010 CFR
2010-07-01
...aids bearing even numbers and green aids bearing odd numbers. The numbers...sidemarks are numbered. However, aids other than those mentioned above...addition to numbers to identify the first aid to navigation in a waterway, or...
33 CFR 62.43 - Numbers and letters.
Code of Federal Regulations, 2011 CFR
2011-07-01
...aids bearing even numbers and green aids bearing odd numbers. The numbers...sidemarks are numbered. However, aids other than those mentioned above...addition to numbers to identify the first aid to navigation in a waterway, or...
47 CFR 52.111 - Toll free number assignment.
Code of Federal Regulations, 2013 CFR
2013-10-01
...2013-10-01 2013-10-01 false Toll free number assignment. 52.111 Section 52.111 ...SERVICES (CONTINUED) NUMBERING Toll Free Numbers § 52.111 Toll free number assignment. Toll free numbers shall be...
47 CFR 52.111 - Toll free number assignment.
Code of Federal Regulations, 2010 CFR
2010-10-01
...2010-10-01 2010-10-01 false Toll free number assignment. 52.111 Section 52.111 ...SERVICES (CONTINUED) NUMBERING Toll Free Numbers § 52.111 Toll free number assignment. Toll free numbers shall be...
47 CFR 52.111 - Toll free number assignment.
Code of Federal Regulations, 2012 CFR
2012-10-01
...2012-10-01 2012-10-01 false Toll free number assignment. 52.111 Section 52.111 ...SERVICES (CONTINUED) NUMBERING Toll Free Numbers § 52.111 Toll free number assignment. Toll free numbers shall be...
47 CFR 52.111 - Toll free number assignment.
Code of Federal Regulations, 2011 CFR
2011-10-01
... 2011-10-01 2011-10-01 false Toll free number assignment. 52.111 Section 52.111...CARRIER SERVICES (CONTINUED) NUMBERING Toll Free Numbers § 52.111 Toll free number assignment. Toll free numbers...
From numerical concepts to concepts of number.
Rips, Lance J; Bloomfield, Amber; Asmuth, Jennifer
2008-12-01
Many experiments with infants suggest that they possess quantitative abilities, and many experimentalists believe that these abilities set the stage for later mathematics: natural numbers and arithmetic. However, the connection between these early and later skills is far from obvious. We evaluate two possible routes to mathematics and argue that neither is sufficient: (1) We first sketch what we think is the most likely model for infant abilities in this domain, and we examine proposals for extrapolating the natural number concept from these beginnings. Proposals for arriving at natural number by (empirical) induction presuppose the mathematical concepts they seek to explain. Moreover, standard experimental tests for children's understanding of number terms do not necessarily tap these concepts. (2) True concepts of number do appear, however, when children are able to understand generalizations over all numbers; for example, the principle of additive commutativity (a+b=b+a). Theories of how children learn such principles usually rely on a process of mapping from physical object groupings. But both experimental results and theoretical considerations imply that direct mapping is insufficient for acquiring these principles. We suggest instead that children may arrive at natural numbers and arithmetic in a more top-down way, by constructing mathematical schemas. PMID:19077327
Links with small lattice stick numbers
NASA Astrophysics Data System (ADS)
Hong, Kyungpyo; No, Sungjong; Oh, Seungsang
2014-04-01
Knots and links have been considered to be useful models for structural analysis of molecular chains such as DNA and proteins. One quantity that we are interested in for molecular links is the minimum number of monomers necessary for realizing them. In this paper we consider every link in the cubic lattice. The lattice stick number sL(L) of a link L is defined to be the minimum number of sticks required to construct a polygonal representation of the link in the cubic lattice. Huh and Oh found all knots whose lattice stick numbers are at most 14. They proved that only the trefoil knot 31 and the figure-eight knot 41 have lattice stick numbers of 12 and 14, respectively. In this paper we find all links with more than one component whose lattice stick numbers are at most 14. Indeed we prove combinatorically that s_L(2^2_1)=8, s_L(2^2_1 \\sharp 2^2_1)=s_L(6^3_2)=s_L(6^3_3)=12, s_L(4^2_1)=13, s_L(5^2_1)=14 and any other non-split links have stick numbers of at least 15.
Estimating shorebird numbers at migration stopover sites
Farmer, A.; Durbian, F.
2006-01-01
We describe a method for estimating the total number of shorebirds that use a migration stopover site during spring and fall migration. We combined weekly shorebird counts with parameter estimates for detection probability, sampled proportion, and length of stay on the Squaw Creek National Wildlife Refuge. Double sampling was used to determine detection probability and estimated values varied among wetland units from a low of 0.07 to a high of 0.82. The sampled proportion of most wetland units was 100% but was lower in some of the larger units. Length of stay (measured for Pectoral [Calidris melanotos] and Least Sandpipers [C. minutilla] combined) averaged 10.0 days in spring and 3.7 days in fall. Spring shorebird numbers were approximately five times greater than fall numbers on the Refuge. Annual shorebird numbers varied among years from an estimated low in 2003 of 15 734 to a high in 2002 of 69 570. Peak daily counts during study years averaged only 12% of estimated spring totals and 4% of fall totals. An estimate of shorebird numbers based on summing weekly counts, not corrected for detection probability or sampled proportion, would have been only 21% (spring) to 31% (fall) of the total number of birds. These results reveal that peak counts and nonadjusted counts can significantly underestimate the number of shorebirds that use migration stopover sites in the midcontinent of North America. ?? The Cooper Ornithological Society 2006.
Neocortical glial cell numbers in human brains.
Pelvig, D P; Pakkenberg, H; Stark, A K; Pakkenberg, B
2008-11-01
Stereological cell counting was applied to post-mortem neocortices of human brains from 31 normal individuals, age 18-93 years, 18 females (average age 65 years, range 18-93) and 13 males (average age 57 years, range 19-87). The cells were differentiated in astrocytes, oligodendrocytes, microglia and neurons and counting were done in each of the four lobes. The study showed that the different subpopulations of glial cells behave differently as a function of age; the number of oligodendrocytes showed a significant 27% decrease over adult life and a strong correlation to the total number of neurons while the total astrocyte number is constant through life; finally males have a 28% higher number of neocortical glial cells and a 19% higher neocortical neuron number than females. The overall total number of neocortical neurons and glial cells was 49.3 billion in females and 65.2 billion in males, a difference of 24% with a high biological variance. These numbers can serve as reference values in quantitative studies of the human neocortex. PMID:17544173
Navier number and transition to turbulence
NASA Astrophysics Data System (ADS)
Zió?kowski, P.; Badur, J.
2014-08-01
The motivation behind this article is to explain a role of the Navier number (Na - dimensionless slip-length) in prediction of closures for laminar to turbulent transition undergoing via eddies detachment from the slip layer in nano-cannals. Additionally the role of the Navier number Na in universal modeling of phenomenon of enhanced mass flow rate reported in micro- and nano-channels has been explained. The Na number should be treated as a ratio of internal viscous to external viscous momentum transport and therefore this notion cannot be extended onto whole friction resistance phenomena. Our proposal for unique expressing of a critical point in turbulence transition is that on a plane of fD - Re one needs two coordinates. The second critical coordinate has been discovered by Stanton and Pannell and is known to be the Stanton-Pannell number StPa. Finally dependence of the Stanton- Pannell number StPa on Navier number Na and Reynolds number Re is presented.
The 2015 Revision of the Sunspot Number
NASA Astrophysics Data System (ADS)
Svalgaard, L.
2014-12-01
Our knowledge of the long-term evolution of solar activity and of its primary modulation, the 11-year cycle, largely depends on a single direct observational record: the visual sunspot counts that retrace the last 4 centuries, since the invention of the astronomical telescope. Currently, this activity index is available in two main forms: the International Sunspot Number initiated by R. Wolf in 1849 and the Group Number constructed more recently by Hoyt and Schatten (1998a,b). Unfortunately, those two series do not match by various aspects, inducing confusions and contradictions when used in crucial contemporary studies of the solar dynamo or of the solar forcing on the Earth climate. Recently, new efforts have been undertaken to diagnose and correct flaws and biases affecting both sunspot series, in the framework of a series of dedicated Sunspot Number Workshops. Here, we present a global overview of our current understanding of the sunspot number calibration. While the early part of the sunspot record before 1800 is still characterized by large uncertainties due to poorly observed periods, the more recent sunspot numbers are mainly affected by three main inhomogeneities: in 1880-1915 for the Group Number and in 1947 and 1980-2014 for the Sunspot Number. The newly corrected series clearly indicates a progressive decline of solar activity before the onset of the Maunder Minimum, while the slowly rising trend of the activity after the Maunder Minimum is strongly reduced, suggesting that by the mid 18th century, solar activity had already returned to the level of those observed in recent solar cycles in the 20th century. We finally conclude with future prospects opened by this epochal revision of the Sunspot Number, the first one since Wolf himself, and its reconciliation with the Group Number, a long-awaited modernization that will feed solar cycle research into the 21st century.
Baryon Number Violation beyond the Standard Model
NASA Astrophysics Data System (ADS)
Fornal, Bartosz
This thesis describes simple extensions of the standard model with new sources of baryon number violation but no proton decay. The motivation for constructing such theories comes from the shortcomings of the standard model to explain the generation of baryon asymmetry in the universe, and from the absence of experimental evidence for proton decay. However, lack of any direct evidence for baryon number violation in general puts strong bounds on the naturalness of some of those models and favors theories with suppressed baryon number violation below the TeV scale. The initial part of the thesis concentrates on investigating models containing new scalars responsible for baryon number breaking. A model with new color sextet scalars is analyzed in more detail. Apart from generating cosmological baryon number, it gives nontrivial predictions for the neutron-antineutron oscillations, the electric dipole moment of the neutron, and neutral meson mixing. The second model discussed in the thesis contains a new scalar leptoquark. Although this model predicts mainly lepton flavor violation and a nonzero electric dipole moment of the electron, it includes, in its original form, baryon number violating nonrenormalizable dimension-five operators triggering proton decay. Imposing an appropriate discrete symmetry forbids such operators. Finally, a supersymmetric model with gauged baryon and lepton numbers is proposed. It provides a natural explanation for proton stability and predicts lepton number violating processes below the supersymmetry breaking scale, which can be tested at the Large Hadron Collider. The dark matter candidate in this model carries baryon number and can be searched for in direct detection experiments as well. The thesis is completed by constructing and briefly discussing a minimal extension of the standard model with gauged baryon, lepton, and flavor symmetries.
Low Nephron Number and Its Clinical Consequences
Luyckx, Valerie A.; Shukha, Khuloud; Brenner, Barry M.
2011-01-01
Epidemiologic studies now strongly support the hypothesis, proposed over two decades ago, that developmental programming of the kidney impacts an individual’s risk for hypertension and renal disease in later life. Low birth weight is the strongest current clinical surrogate marker for an adverse intrauterine environment and, based on animal and human studies, is associated with a low nephron number. Other clinical correlates of low nephron number include female gender, short adult stature, small kidney size, and prematurity. Low nephron number in Caucasian and Australian Aboriginal subjects has been shown to be associated with higher blood pressures, and, conversely, hypertension is less prevalent in individuals with higher nephron numbers. In addition to nephron number, other programmed factors associated with the increased risk of hypertension include salt sensitivity, altered expression of renal sodium transporters, altered vascular reactivity, and sympathetic nervous system overactivity. Glomerular volume is universally found to vary inversely with nephron number, suggesting a degree of compensatory hypertrophy and hyperfunction in the setting of a low nephron number. This adaptation may become overwhelmed in the setting of superimposed renal insults, e.g. diabetes mellitus or rapid catch-up growth, leading to the vicious cycle of on-going hyperfiltration, proteinuria, nephron loss and progressive renal functional decline. Many millions of babies are born with low birth weight every year, and hypertension and renal disease prevalences are increasing around the globe. At present, little can be done clinically to augment nephron number; therefore adequate prenatal care and careful postnatal nutrition are crucial to optimize an individual’s nephron number during development and potentially to stem the tide of the growing cardiovascular and renal disease epidemics worldwide. PMID:23908819
The Bondage Number of Mesh Networks
Hu, Fu-Tao; Xu, Jun-Ming
2011-01-01
The bondage number $b(G)$ of a nonempty graph $G$ is the smallest number of edges whose removal from $G$ results in a graph with domination number greater than that of $G$. Denote $P_n\\times P_m$ be the Cartesian product of two paths $P_n$ and $P_m$. This paper determines that the exact value of $b(P_n\\times P_2)$, $b(P_n\\times P_3)$ and $b(P_n\\times P_4)$ for $n\\ge 2$.
MSSM with gauged baryon and lepton numbers
Bartosz Fornal
2015-07-07
A simple extension of the minimal supersymmetric standard model in which baryon and lepton numbers are local gauge symmetries spontaneously broken at the supersymmetry scale is reported. This theory provides a natural explanation for proton stability. Despite violating R-parity, it contains a dark matter candidate carrying baryon number that can be searched for in direct detection experiments. The model accommodates a light active neutrino spectrum and predicts one heavy and two light sterile neutrinos. It also allows for lepton number violating processes testable at the Large Hadron Collider.
Multiplication: An Adventure in Number Sense
NSDL National Science Digital Library
2005-01-01
This activity helps students learn their multiplication tables, but also build their reasoning about numbers, their relationships and their patterns in the multiplication table. The tutorial begins with a multiplication applet and leads the student through a number of different strategies for stream lining the number of multiplication facts from 100 down to thirteen. Each page in the unit consists of dialogs between a student and a mentor, as well as illustrations, summaries and suggestions for further explorations and activities. Users can skip dialogs if they wish, going directly for the summaries and activities.
Exponential Number of Shapes in Origami Metasheets
NASA Astrophysics Data System (ADS)
Dieleman, Peter; Waitukaitis, Scott; van Hecke, Martin
2015-03-01
The simplest possible fold pattern that allows for motion, the 4-vertex, has two distinct branches of motion. By deriving a local combinatorial rule, we show that the number of branches in a tessellated sheet of such 4-vertices grows exponentially with the number of vertices. We introduce energy in the system by approximating the folds as torsional springs and show that we can create an arbitrary number of well separated minima, i.e. shapes. With 3D printing, we bring these shape-shifting structures to life.
Critical points and number of master integrals
NASA Astrophysics Data System (ADS)
Lee, Roman N.; Pomeransky, Andrei A.
2013-11-01
We consider the question about the number of master integrals for a multiloop Feynman diagram. We show that, for a given set of denominators, this number is totally determined by the critical points of the polynomials entering either of the two representations: the parametric representation and the Baikov representation. In particular, for the parametric representation the corresponding polynomial is just the sum of Symanzik polynomials. The relevant topological invariant is the sum of the Milnor numbers of the proper critical points. We present a Mathematica package Mint to automatize the counting of the master integrals for the typical case, when all critical points are isolated.
Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection
Alexandersen, Joe; Aage, Niels
2015-01-01
This work presents the application of density-based topology optimisation to the design of three-dimensional heat sinks cooled by natural convection. The governing equations are the steady-state incompressible Navier-Stokes equations coupled to the thermal convection-diffusion equation through the Bousinessq approximation. The fully coupled non-linear multiphysics system is solved using stabilised trilinear equal-order finite elements in a parallel framework allowing for the optimisation of large scale problems with order of 40-330 million state degrees of freedom. The flow is assumed to be laminar and several optimised designs are presented for Grashof numbers between $10^3$ and $10^6$. Interestingly, it is observed that the number of branches in the optimised design increases with increasing Grashof numbers, which is opposite to two-dimensional optimised designs.
Clark, G.L. Jr.; Clausing, A.M.; Mueller, M.H.; Weiner, J.G.; Kempka, S.N.
1980-01-01
The UIUC Cryogenic Heat Transfer Tunnel was built to exploit the spectacular gains in Reynolds and Grashof numbers which occur when convective experiments are performed at cryogenic temperatures. The program was motivated by the need to predict the convective loss from external solar thermal-electric receivers which will typically operate in the combined convection regime with Reynolds numbers above 10/sup 6/ and Grashof numbers exceeding 10/sup 11/. The tunnel facility is currently operational and forced convection heat transfer data have been taken from a vertical cylinder in cross-flow. The results of these validation tests indicate that the heat transfer coefficients measured are completely dependent upon the traditional non-dimensional parameters of forced convection.
Which numbers do you have in mind? Number generation is influenced by reading direction.
Göbel, Silke M; Maier, Carolin A; Shaki, Samuel
2015-09-01
In Western participants, small numbers are associated with left and larger numbers with right space. A biological account proposes that brain asymmetries lead to these attentional asymmetries in number space. In contrast, a cultural account proposes that the direction of this association is shaped by reading direction. We explored whether number generation is influenced by reading direction in participants from a left-to-right (UK) and a right-to-left (Arab) reading culture. Participants generated numbers randomly while lying on their left and right side. The mean number generated by participants from a left-to-right reading culture was smaller when they lay on their left than on their right side, and the opposite was found for participants from a right-to-left reading culture. Asymmetries in number space observed in number generation are more compatible with a cultural than biological account. PMID:26224271
Code of Federal Regulations, 2013 CFR
2013-04-01
21 Food and Drugs 4 2013-04-01 2013-04-01 false Notification of registrant; drug establishment registration number and drug listing number. 207.35 Section 207.35 Food and Drugs FOOD AND DRUG ADMINISTRATION,...
Of Colored Numbers and Numbered Colors: Interactive Processes in Grapheme-Color Synesthesia
Titia Gebuis; Tanja C. W. Nijboer; Maarten J. van der Smagt
2009-01-01
Grapheme-color synesthetes experience a specific color when they see a grapheme but they do not report to perceive a grapheme when a color is presented. In this study, we investigate whether color can still evoke number-processes even when a vivid number experience is absent. We used color-number and number-color priming, both revealing faster responses in congruent compared to incongruent conditions.
ERIC Educational Resources Information Center
Cohen, Dale J.; Sarnecka, Barbara W.
2014-01-01
Children's understanding of numbers is often assessed using a number-line task, where the child is shown a line labeled with 0 at one end and a higher number (e.g., 100) at the other end. The child is then asked where on the line some intermediate number (e.g., 70) should go. Performance on this task changes predictably during childhood, and…
CORAL Name: STS 1 Model Number: ICP
Reif, Rafael
CORAL Name: STS 1 Model Number: ICP Location: TRL What it does: Deep Silicon Etch Introduction: The ST Systems Multiplex ICP tool is a Deep Reactive Ion Etch (DRIE) tool. It provides high aspect ratio
Chaotic behaviour of high Mach number flows
NASA Technical Reports Server (NTRS)
Varvoglis, H.; Ghosh, S.
1985-01-01
The stability of the super-Alfvenic flow of a two-fluid plasma model with respect to the Mach number and the angle between the flow direction and the magnetic field is investigated. It is found that, in general, a large scale chaotic region develops around the initial equilibrium of the laminar flow when the Mach number exceeds a certain threshold value. After reaching a maximum the size of this region begins shrinking and goes to zero as the Mach number tends to infinity. As a result high Mach number flows in time independent astrophysical plasmas may lead to the formation of 'quasi-shocks' in the presence of little or no dissipation.
ASTROBIOLOGY Volume 9, Number 2, 2009
ASTROBIOLOGY Volume 9, Number 2, 2009 © Mary Ann Liebert, Inc. DOI: 10.1089/ast.2008.0928 News alternative scenarios for the origin of the first RNA-like polymers include the possibility that prebiotic nu
Arithmetic Operations Beyond Floating Point Number Precision
Wang, Chih-Yueh; Chen, Hong-Yu; Chen, Yung-Ko
2010-01-01
In basic computational physics classes, students often raise the question of how to compute a number that exceeds the numerical limit of the machine. While technique of avoiding overflow/underflow has practical application in the electrical and electronics engineering industries, it is not commonly utilized in scientific computing, because scientific notation is adequate in most cases. We present an undergraduate project that deals with such calculations beyond a machine's numerical limit, known as arbitrary precision arithmetic. The assignment asks students to investigate the validity of floating point number precision and the approach of calculating the exact value of a large number, using the basic scientific programming language Fortran. Examples of the successive multiplication of even number and the multiplication and division of two overflowing floats are presented. The application of the scheme to hardware and firmware design which requires the allocation of finite memory, as in a digital signal proce...
Department of Defense Worldwide Numbers for TBI
... the Armed Forces Health Surveillance Center . About the Data The numbers represent service members with a TBI, ... updated once every year. Updates to Previously Reported Data Frequent visitors to this website may ask whether ...
Elastic tail propulsion at low Reynolds number
Yu, Tony S. (Tony Sheung)
2007-01-01
A simple way to generate propulsion at low Reynolds number is to periodically oscillate a passive flexible filament. Here we present a macroscopic experimental investigation of such a propulsive mechanism. A robotic swimmer ...
Generation of pseudo-random numbers
NASA Technical Reports Server (NTRS)
Howell, L. W.; Rheinfurth, M. H.
1982-01-01
Practical methods for generating acceptable random numbers from a variety of probability distributions which are frequently encountered in engineering applications are described. The speed, accuracy, and guarantee of statistical randomness of the various methods are discussed.