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Sample records for fermiermi-weizsaecker formula

  1. Infant Formula

    MedlinePlus

    ... it okay to feed my baby formula? Breast milk is the best source of nutrition for your ... will probably recommend a formula made from cow's milk. Some formulas are iron-fortified. This means they ...

  2. Formula Budgeting

    ERIC Educational Resources Information Center

    Gardner, John C.

    1974-01-01

    Presents the mathematical formula devised by George O. Weber on budgeting for physical plants of colleges and universities. Uses four functions of administration, maintenance (operational), housekeeping/custodial, and grounds as a base. (Author/MLF)

  3. Fishy Formulas.

    ERIC Educational Resources Information Center

    Bosch, William; Sizzo, Jennifer; Curtis, Anita; Klein, Shannon; Micale, Cheryl; Lin, E-Sin

    1997-01-01

    Describes an activity presented in sports fishing magazines on developing a formula that predicts the weight in pounds of a game fish given its length in inches by using a TI-83 graphing calculator. Highlights the importance of using real-life problems and mathematical explorations. (ASK)

  4. Infant formulas - overview

    MedlinePlus

    ... meet all their nutritional needs. Infant formulas include powders, concentrated liquids, and ready-to-use forms. ... it. Reflux formulas are pre-thickened with rice starch. They are usually needed only for infants with ...

  5. Breastfeeding vs. Formula Feeding

    MedlinePlus

    ... breastfeed your baby or bottle feed using infant formula . Health experts agree that breastfeeding is the healthiest ... is hungry. You do not need to make formula before feeding, worry about clean water, or carry ...

  6. Infant formulas - overview

    MedlinePlus

    ... 6 months of life, infants need only breast milk or formula to meet all their nutritional needs. ... 12 months old who are not drinking breast milk . While there are some differences, infant formulas sold ...

  7. Designing State Aid Formulas

    ERIC Educational Resources Information Center

    Zhao, Bo; Bradbury, Katharine

    2009-01-01

    This paper designs a new equalization-aid formula based on fiscal gaps of local communities. When states are in transition to a new local aid formula, the issue of whether and how to hold existing aid harmless poses a challenge. The authors show that some previous studies and the formulas derived from them give differential weights to existing and…

  8. The Texas Formula System.

    ERIC Educational Resources Information Center

    Steen, Ralph W.; And Others

    Explained and illustrated is the formula funding system used for colleges and universities in Texas. This system is considerably more complicated than the formulas used in other states. Data for institutions in the state system for fiscal 1978 are presented; actual appropriations are used rather than requests, and formula-produced amounts are…

  9. A load factor formula

    NASA Technical Reports Server (NTRS)

    Miller, Roy G

    1927-01-01

    The ultimate test of a load factor formula is experience. The chief advantages of a semi rational formula over arbitrary factors are that it fairs in between points of experience and it differentiates according to variables within a type. Structural failure of an airplane apparently safe according to the formula would call for a specific change in the formula. The best class of airplanes with which to check a load factor formula seems to be those which have experienced structural failure. Table I comprises a list of the airplanes which have experienced failure in flight traceable to the wing structure. The load factor by formula is observed to be greater than the designed strength in each case, without a single exception. Table II comprises the load factor by formula with the designed strength of a number of well-known service types. The formula indicates that by far the majority of these have ample structural strength. One case considered here in deriving a suitable formula is that of a heavy load carrier of large size and practically no reserve power.

  10. Selected Baking Formulas.

    ERIC Educational Resources Information Center

    Bogdany, Melvin

    This manual is designed to help baking students learn to use formulas in the preparation of baking products. Tested and proven formulas are, for the most part, standard ones with only slight modifications. The recipes are taken mainly from bakery product manufacturers and are presented in quantities suitable for school-shop use. Each recipe…

  11. Breastfeeding vs. Formula Feeding

    MedlinePlus

    ... Story" 5 Things to Know About Zika & Pregnancy Breastfeeding vs. Formula Feeding KidsHealth > For Parents > Breastfeeding vs. ... for you and your baby. continue All About Breastfeeding Nursing can be a wonderful experience for both ...

  12. Readability Formulas: Pluses and Minuses.

    ERIC Educational Resources Information Center

    Rygiel, Mary Ann

    1982-01-01

    Examines readability formulas and examples of their misuse. Analyzes an essay by George Orwell which was given a grade 10 readability level by one formula and discusses characteristics of Orwell's style that refute the accuracy of formula rating. (HTH)

  13. The Mystical "Quadratic Formula."

    ERIC Educational Resources Information Center

    March, Robert H.

    1993-01-01

    Uses projectile motion to explain the two roots found when using the quadratic formula. An example is provided for finding the time of flight for a projectile which has a negative root implying a negative time of flight. This negative time of flight also has a useful physical meaning. (MVL)

  14. The Formula Essay Reconsidered

    ERIC Educational Resources Information Center

    Haluska, Jan

    2012-01-01

    Bruce Pirie offers the following criticism about formula essays: "What does a five-paragraph essay teach about writing? It teaches that there are rules, and that those rules take the shape of a preordained form, like a cookie-cutter, into which we can pour ideas and expect them to come out well shaped." He goes on to discredit such essays as being…

  15. Research Timeline: Formulaic language

    ERIC Educational Resources Information Center

    Wray, Alison

    2013-01-01

    Creating a timeline for formulaic language is far from simple, because several partially independent lines of research have contributed to the emerging picture. Each exhibits cycles of innovation and consolidation over time: domains take a leading role in developing new knowledge and then fall back, while another area comes to the fore. Thus, some…

  16. Introducing Chemical Formulae and Equations.

    ERIC Educational Resources Information Center

    Dawson, Chris; Rowell, Jack

    1979-01-01

    Discusses when the writing of chemical formula and equations can be introduced in the school science curriculum. Also presents ways in which formulae and equations learning can be aided and some examples for balancing and interpreting equations. (HM)

  17. Budget Formulas and Model Building.

    ERIC Educational Resources Information Center

    Cope, Robert G.

    Selected budget formulas currently in use for university operations are described as a background for examining a budgetary model that would provide for the integration of separate formulas. Data on the formulas were collected from states with system-wide coordinating boards that are responsible for budgetary reviews. The most common formula…

  18. Positive quadrature formulas III

    NASA Astrophysics Data System (ADS)

    Peherstorfer, Franz

    2008-12-01

    First we discuss briefly our former characterization theorem for positive interpolation quadrature formulas (abbreviated qf), provide an equivalent characterization in terms of Jacobi matrices, and give links and applications to other qf, in particular to Gauss-Kronrod quadratures and recent rediscoveries. Then for any polynomial t_n which generates a positive qf, a weight function (depending on n ) is given with respect to which t_n is orthogonal to mathbb{P}_{n-1} . With the help of this result an asymptotic representation of the quadrature weights is derived. In general the asymptotic behaviour is different from that of the Gaussian weights. Only under additional conditions do the quadrature weights satisfy the so-called circle law. Corresponding results are obtained for positive qf of Radau and Lobatto type.

  19. Quadrature formulas for Fourier coefficients

    NASA Astrophysics Data System (ADS)

    Bojanov, Borislav; Petrova, Guergana

    2009-09-01

    We consider quadrature formulas of high degree of precision for the computation of the Fourier coefficients in expansions of functions with respect to a system of orthogonal polynomials. In particular, we show the uniqueness of a multiple node formula for the Fourier-Tchebycheff coefficients given by Micchelli and Sharma and construct new Gaussian formulas for the Fourier coefficients of a function, based on the values of the function and its derivatives.

  20. On generalized averaged Gaussian formulas

    NASA Astrophysics Data System (ADS)

    Spalevic, Miodrag M.

    2007-09-01

    We present a simple numerical method for constructing the optimal (generalized) averaged Gaussian quadrature formulas which are the optimal stratified extensions of Gauss quadrature formulas. These extensions exist in many cases in which real positive Kronrod formulas do not exist. For the Jacobi weight functions w(x)equiv w^{(alpha,beta)}(x)D(1-x)^alpha(1+x)^beta ( alpha,beta>-1 ) we give a necessary and sufficient condition on the parameters alpha and beta such that the optimal averaged Gaussian quadrature formulas are internal.

  1. A note on generalized averaged Gaussian formulas

    NASA Astrophysics Data System (ADS)

    Spalevic, Miodrag

    2007-11-01

    We have recently proposed a very simple numerical method for constructing the averaged Gaussian quadrature formulas. These formulas exist in many more cases than the real positive Gauss?Kronrod formulas. In this note we try to answer whether the averaged Gaussian formulas are an adequate alternative to the corresponding Gauss?Kronrod quadrature formulas, to estimate the remainder term of a Gaussian rule.

  2. A Salary Formula for Principals

    ERIC Educational Resources Information Center

    Gilbert, Michael B.

    1975-01-01

    When each administrative salary contract is negotiated individually, inequities creep in, many administrators feel. This article suggests a formula for determining principals' salaries based on education and experience, days of work, and responsibilities. (Editor)

  3. Formulas for Image Factor Scores

    ERIC Educational Resources Information Center

    Hakstian, A. Ralph

    1973-01-01

    Formulas are presented in this paper for computing scores associated with factors of G, the image covariance matrix, under three conditions. The subject of the paper is restricted to "pure" image analysis. (Author/NE)

  4. A Formula for Writing Poetry.

    ERIC Educational Resources Information Center

    Evans, Peter O.

    1983-01-01

    Presents the formula for writing poetry as containing three elements: the content of the poet's mind; the poetic medium--language; and the creative spark that fuses experience and language, or content and medium, into poetry. (MM)

  5. Summation formulae on trigonometric functions

    NASA Astrophysics Data System (ADS)

    Wang, Xin; Zheng, De-Yin

    2007-11-01

    Trigonometric sums over the angles equally distributed on the upper half plane are investigated systematically. Their generating functions and explicit formulae are established through the combination of the formal power series method and partial fraction decompositions.

  6. Heron's Remarkable Triangle Area Formula.

    ERIC Educational Resources Information Center

    Oliver, Bernard M.

    1993-01-01

    Presents Heron's original geometric proof to his formula to calculate the area of a triangle. Attempts to improve on this proof by supplying a chain of reasoning that leads quickly from premises to the conclusion. (MDH)

  7. An energy loss straggling formula

    NASA Astrophysics Data System (ADS)

    Novković, D.; Subotić, K.; Milošević, Z.; Manić, S.; Stojanović, M.

    1994-12-01

    The analytical formulae for straggling widths were obtained solving Symon's equations for the second and third order central moments of the straggling distributions in non-relativistic approximation, enabling prediction of peak widths and asymmetry parameters of charged particle energy loss distributions for thick targets. The respective calculations based on these formulae were found to be in good agreement with experimental values for particle energy losses of light ions up to 70% of the nominal projectile energy value.

  8. Infant Formula - Buying, Preparing, Storing, and Feeding

    MedlinePlus

    ... page: //medlineplus.gov/ency/patientinstructions/000806.htm Infant Formula – Buying, Preparing, Storing, and Feeding To use the ... using infant formula . Buying, Preparing, and Storing Infant Formula The following tips can help you buy, prepare, ...

  9. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 24 Housing and Urban Development 1 2011-04-01 2011-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation. (a) Jurisdictions eligible for a formula allocation. HUD...

  10. Readability Formulas--Fact or Fiction.

    ERIC Educational Resources Information Center

    Olson, Arthur V.

    Four readability formulas were analyzed to determine the reading grade equivalence of instructional materials at the middle grades and above: the Dale-Chall formula, the Gunning-Fog Index, the Flesch Reading Ease Formula, and the McLaughlin SMOG Grading. In addition, Spache and Wheeler/Smith formulas were analyzed for evaluating primary grade…

  11. 27 CFR 17.121 - Product formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Product formulas. 17.121... PRODUCTS Formulas and Samples § 17.121 Product formulas. (a) General. Except as provided in §§ 17.132 and 17.182, manufacturers shall file quantitative formulas for all preparations for which they intend...

  12. 27 CFR 25.57 - Formula information.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula information. 25.57... OF THE TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.57 Formula information. (a) Ingredient information. (1) For each formula you must list each separate ingredient and the specific...

  13. CHY formula and MHV amplitudes

    NASA Astrophysics Data System (ADS)

    Du, Yi-Jian; Teng, Fei; Wu, Yong-Shi

    2016-05-01

    In this paper, we study the relation between the Cachazo-He-Yuan (CHY) formula and the maximal-helicity-violating (MHV) amplitudes of Yang-Mills and gravity in four dimensions. We prove that only one special rational solution of the scattering equations found by Weinzierl supports the MHV amplitudes. Namely, localized at this solution, the integrated CHY formula produces the Parke-Taylor formula for MHV Yang-Mills amplitudes as well as the Hodges formula for MHV gravitational amplitudes, with an arbitrary number of external gluons/gravitons. This is achieved by developing techniques, in a manifestly Möbius covariant formalism, to explicitly compute relevant reduced Pfaffians/determinants. We observe and prove two interesting properties (or identities), which facilitate the computations. We also check that all the other ( n - 3)! - 1 solutions to the scattering equations do not support the MHV amplitudes, and prove analytically that this is indeed true for the other special rational solution proposed by Weinzierl, that actually supports the anti-MHV amplitudes. Our results reveal a mysterious feature of the CHY formalism that in Yang-Mills and gravity theory, solutions of scattering equations, involving only external momenta, somehow know about the configuration of external polarizations of the scattering amplitudes.

  14. Stature estimation formulae for Nigerians.

    PubMed

    Didia, Blessing C; Nduka, Ethelbert C; Adele, Okechukwu

    2009-01-01

    In stature estimation, long limbs and the stature formula of Trotter and Gleser easily come to mind. In the recent past, a lot of workers have established formulae specific to their populations using whole length of limbs, fragmented bones, circumference of long bones, and even length of the vertebrae. We have in this work used tibia length, height of subjects, and the regression models to establish formulae specific to Nigerians. We measured height and tibia length of 200 (96 male and 104 female) adult Nigerians. The tibia length was measured from upper limit of the medial condoyle to the tip of medial malleolus using a measuring tape calibrated in meters while the height of individuals were also measured using meter scales. All measurements were made by one person, to avoid interobserver error, and repeatedly until a constant value is obtained. We obtained general formulae for males and females which compares favorably with that of Duyar and Pelin, and can be relied upon. PMID:19018931

  15. Developing the Vertex Formula Meaningfully

    ERIC Educational Resources Information Center

    Nebesniak, Amy L.; Burgoa, A. Aaron

    2015-01-01

    As teachers working with students in entry-level algebra classes, authors Amy Nebesniak and A. Aaron Burgoa realized that their instruction was a major factor in how their students viewed mathematics. They often presented students with abstract formulas that seemed to appear out of thin air. One instance occurred while they were teaching students…

  16. Financial Formulas for Library Networks.

    ERIC Educational Resources Information Center

    Hayes, Phoebe F.

    Formulas for the fiscal support of library networks are discussed against the perspective of present patterns of library funding. Provisions for financing current cooperative library programs are illustrative of the problems which might be encountered in networks. Several proposals for network development have been concerned with and provide some…

  17. Formulas for determining rotational constants

    NASA Astrophysics Data System (ADS)

    Guelachvili, G.

    This document is part of Subvolume B `Linear Triatomic Molecules', Part 9, of Volume 20 `Molecular Constants mostly from Infrared Spectroscopy' of Landolt-Börnstein Group II `Molecules and Radicals'. Part of the introduction, it states formulas for determining rotational constants, band center, band origin, and quadrupole coupling. Specific comments relate to BHO (HBO) and COS (OCS).

  18. Blackhole formula and example relativity

    NASA Astrophysics Data System (ADS)

    Shin, Philip

    Black hole formula 1) Second dimension (x,y) f(x)=y Energy E=m*c2 2) Third dimension (x,y,z) really x=y=z Black hole formula Root(c2)=c=Root(E/m) As mass go the velocity of light, mass become black hole so there are energy as multiply by mass. Example relativity When E=m*c2 1) Root(c2)=c=Root(E/m) 2) 3*c*Root(c2)=3*c*Root(E/m)=3*c2 From 1) to 2) as an example, As velocity is faster, mass increased. It means when velocity is increased, sec(time) is slower, and m(distance) is increased. The number is good to study physics.

  19. Trace formula for broken symmetry

    SciTech Connect

    Creagh, S.C.

    1996-05-01

    We derive a trace formula for systems that exhibit an approximate continuous symmetry. It interpolates between the sum over continuous families of periodic orbits that holds in the case of exact continuous symmetry, and the discrete sum over isolated orbits that holds when the symmetry is completely broken. It is based on a simple perturbation expansion of the classical dynamics, centered around the case of exact symmetry, and gives an approximation to the usual Gutzwiller formula when the perturbation is large. We illustrate the computation with some 2-dimensional examples: the deformation of the circular billiard into an ellipse, and anisotropic and anharmonic perturbations of a harmonic oscillator. Copyright {copyright} 1996 Academic Press, Inc.

  20. Discretization formulas for unstructured grids

    NASA Technical Reports Server (NTRS)

    Baumeister, Kenneth J.

    1988-01-01

    The Galerkin weighted residual technique using linear triangular weight functions is employed to develop finite difference formula in cartesian coordinates for the Laplacian operator, first derivative operators and the function for unstructured triangular grids. The weighted residual coefficients associated with the weak formulation of the Laplacian operator are shown to agree with the Taylor series approach on a global average. In addition, a simple algorithm is presented to determine the Voronoi (finite difference) area of an unstructured grid.

  1. Hydrolyzed Formula for Every Infant?

    PubMed

    Fleischer, David M; Venter, Carina; Vandenplas, Yvan

    2016-01-01

    Presently, hydrolyzed formulas (HF) are used primarily in infants that cannot be exclusively breastfed, those with cow's milk allergy and for primary prevention of allergic disease, but HFs are increasingly being used worldwide, begging the question if they may be recommended as the optimal choice for all standard-risk, full-term, non-exclusively breastfed infants. Data regarding the nutritional adequacy of modern-day HFs are scarce and lack long-term data suggesting that growth in infants fed HF versus an intact protein formula (IPF) is different. While human breast milk is the optimal source of nutrition for multiple reasons, a 2006 systematic review determined there were no comparable long-term studies regarding prolonged use of HFs versus breastfeeding. Meta-analyses of formula consumption and risk of atopic dermatitis (AD) have found that infants fed partially HF compared to IPF had a lower risk of AD, but there are significant limitations to these studies, making conclusions about the general use of HFs problematic. Costs should be considered in decision-making regarding the choice of the formula, but global comparison of this is difficult given large cost differences in different countries. Despite the issues raised here, the desire to provide concrete recommendations of widespread HF use needs to be balanced carefully in order not to overstate claims of benefit. Long-term studies are needed to investigate the feasibility of HF as a routine feeding option for healthy, standard-risk infants. Because of the paucity of data, routine use of HF as an equivalent option to breastfeeding or IPF cannot be supported at present based on available scientific evidence. PMID:27336594

  2. Composition formulas of binary eutectics

    NASA Astrophysics Data System (ADS)

    Ma, Y. P.; Dong, D. D.; Dong, C.; Luo, L. J.; Wang, Q.; Qiang, J. B.; Wang, Y. M.

    2015-12-01

    The present paper addresses the long-standing composition puzzle of eutectic points by introducing a new structural tool for the description of short-range-order structural unit, the cluster-plus-glue-atom model. In this model, any structure is dissociated into a 1st-neighbor cluster and a few glue atoms between the clusters, expressed by a cluster formula [cluster]gluex. This model is applied here to establish the structural model for eutectic liquids, assuming that a eutectic liquid consist of two subunits issued from the relevant eutectic phases, each being expressed by the cluster formula for ideal metallic glasses, i.e., [cluster](glue atom)1 or 3. A structural unit is then composed of two clusters from the relevant eutectic phases plus 2, 4, or 6 glue atoms. Such a dual cluster formulism is well validated in all boron-containing (except those located by the extreme phase diagram ends) and in some commonly-encountered binary eutectics, within accuracies below 1 at.%. The dual cluster formulas vary extensively and are rarely identical even for eutectics of close compositions. They are generally formed with two distinctly different cluster types, with special cluster matching rules such as cuboctahedron plus capped trigonal prism and rhombidodecahedron plus octahedral antiprism.

  3. Composition formulas of binary eutectics.

    PubMed

    Ma, Y P; Dong, D D; Dong, C; Luo, L J; Wang, Q; Qiang, J B; Wang, Y M

    2015-01-01

    The present paper addresses the long-standing composition puzzle of eutectic points by introducing a new structural tool for the description of short-range-order structural unit, the cluster-plus-glue-atom model. In this model, any structure is dissociated into a 1(st)-neighbor cluster and a few glue atoms between the clusters, expressed by a cluster formula [cluster]gluex. This model is applied here to establish the structural model for eutectic liquids, assuming that a eutectic liquid consist of two subunits issued from the relevant eutectic phases, each being expressed by the cluster formula for ideal metallic glasses, i.e., [cluster](glue atom)(1 or 3). A structural unit is then composed of two clusters from the relevant eutectic phases plus 2, 4, or 6 glue atoms. Such a dual cluster formulism is well validated in all boron-containing (except those located by the extreme phase diagram ends) and in some commonly-encountered binary eutectics, within accuracies below 1 at.%. The dual cluster formulas vary extensively and are rarely identical even for eutectics of close compositions. They are generally formed with two distinctly different cluster types, with special cluster matching rules such as cuboctahedron plus capped trigonal prism and rhombidodecahedron plus octahedral antiprism. PMID:26658618

  4. Composition formulas of binary eutectics

    PubMed Central

    Ma, Y. P.; Dong, D. D.; Dong, C.; Luo, L. J.; Wang, Q.; Qiang, J. B.; Wang, Y. M.

    2015-01-01

    The present paper addresses the long-standing composition puzzle of eutectic points by introducing a new structural tool for the description of short-range-order structural unit, the cluster-plus-glue-atom model. In this model, any structure is dissociated into a 1st-neighbor cluster and a few glue atoms between the clusters, expressed by a cluster formula [cluster]gluex. This model is applied here to establish the structural model for eutectic liquids, assuming that a eutectic liquid consist of two subunits issued from the relevant eutectic phases, each being expressed by the cluster formula for ideal metallic glasses, i.e., [cluster](glue atom)1 or 3. A structural unit is then composed of two clusters from the relevant eutectic phases plus 2, 4, or 6 glue atoms. Such a dual cluster formulism is well validated in all boron-containing (except those located by the extreme phase diagram ends) and in some commonly-encountered binary eutectics, within accuracies below 1 at.%. The dual cluster formulas vary extensively and are rarely identical even for eutectics of close compositions. They are generally formed with two distinctly different cluster types, with special cluster matching rules such as cuboctahedron plus capped trigonal prism and rhombidodecahedron plus octahedral antiprism. PMID:26658618

  5. Simple and Clear Proofs of Stirling's Formula

    ERIC Educational Resources Information Center

    Niizeki, Shozo; Araki, Makoto

    2010-01-01

    The purpose of our article is to show two simpler and clearer methods of proving Stirling's formula than the traditional and conventional ones. The distinction of our method is to use the simple trapezoidal formula.

  6. Improved Jänecke mass formula

    NASA Astrophysics Data System (ADS)

    He, Z.; Bao, M.; Zhao, Y. M.; Arima, A.

    2014-11-01

    In this paper we improve an empirical mass formula constructed by Jänecke and collaborators. This formula is enlightened by the Garvey-Kelson mass relations. The new version of the Jänecke formula reproduces 2275 atomic masses with neutron number N ≥10 and proton number Z ≥6 , at an average accuracy of 128 keV, by employing 576 parameters. The predictive power of our formula is exemplified by comparison with predicted results of other mass models.

  7. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 24 Housing and Urban Development 1 2014-04-01 2014-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation....

  8. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 24 Housing and Urban Development 1 2013-04-01 2013-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation....

  9. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 24 Housing and Urban Development 1 2012-04-01 2012-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation....

  10. A Quick Guide to Readability Formulas.

    ERIC Educational Resources Information Center

    Cramer, Eugene H.

    1978-01-01

    Six of the most widely used readability scales are briefly reviewed and their original source cited: the Dale-Chall Readability Formula, the Flesch "Reading Ease" Formula, the Fog Index, the Fry Readability Graph, the SMOG Grading Plan, and the Spache Readability Formula. (SJL)

  11. 28 CFR 38.2 - Formula grants.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... 28 Judicial Administration 1 2010-07-01 2010-07-01 false Formula grants. 38.2 Section 38.2 Judicial Administration DEPARTMENT OF JUSTICE EQUAL TREATMENT FOR FAITH-BASED ORGANIZATIONS § 38.2 Formula... cooperative agreement funded by a formula or block grant from the Department. As used in this section,...

  12. 27 CFR 24.196 - Formula required.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.196... OF THE TREASURY LIQUORS WINE Production of Special Natural Wine § 24.196 Formula required. Before producing any special natural wine, the proprietor shall receive approval of the formula by which it is...

  13. 27 CFR 20.101 - Drafting formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Drafting formulas. 20.101... OF THE TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process Approval Policies § 20.101 Drafting formulas. (a) In preparing Form 5150.19, the...

  14. 27 CFR 24.201 - Formula required.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.201... OF THE TREASURY LIQUORS WINE Production of Agricultural Wine § 24.201 Formula required. Before producing any agricultural wine, the proprietor shall obtain an approval of the formula and process by...

  15. 15 CFR 923.110 - Allocation formula.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 15 Commerce and Foreign Trade 3 2010-01-01 2010-01-01 false Allocation formula. 923.110 Section... Grants § 923.110 Allocation formula. (a) As required by subsection 306(a), the Secretary may make grants...) Allocation formula factors and weighting. Each State eligible to receive a financial assistance award...

  16. 7 CFR 251.7 - Formula adjustments.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 7 Agriculture 4 2010-01-01 2010-01-01 false Formula adjustments. 251.7 Section 251.7 Agriculture... GENERAL REGULATIONS AND POLICIES-FOOD DISTRIBUTION THE EMERGENCY FOOD ASSISTANCE PROGRAM § 251.7 Formula adjustments. Formula adjustments. (a) Commodity adjustments. The Department will make annual adjustments...

  17. 10 CFR 455.31 - Allocation formulas.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 10 Energy 3 2010-01-01 2010-01-01 false Allocation formulas. 455.31 Section 455.31 Energy... § 455.31 Allocation formulas. (a) Financial assistance for conducting technical assistance programs for... this section. (c) The allocation factor (K) shall be determined by the formula: EC14NO91.086 where,...

  18. 27 CFR 26.31 - Formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula. 26.31 Section 26... States From Areas Other Than Puerto Rico and the Virgin Islands § 26.31 Formula. (a) The amount of excise.... The formula shall be as follows: (1) Multiply the total excise taxes collected on rum brought into...

  19. 25 CFR 273.31 - Distribution formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 25 Indians 1 2010-04-01 2010-04-01 false Distribution formula. 273.31 Section 273.31 Indians... formula. (a) Funds shall be distributed to eligible contractors based upon the number of eligible Indian... formula. (b) The Assistant Secretary may make exceptions to the provisions of paragraph (a) of...

  20. 24 CFR 574.130 - Formula allocations.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 24 Housing and Urban Development 3 2010-04-01 2010-04-01 false Formula allocations. 574.130... URBAN DEVELOPMENT COMMUNITY FACILITIES HOUSING OPPORTUNITIES FOR PERSONS WITH AIDS Formula Entitlements § 574.130 Formula allocations. (a) Data sources. HUD will allocate funds based on the number of cases...

  1. 27 CFR 24.211 - Formula required.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.211... OF THE TREASURY LIQUORS WINE Production of Other Than Standard Wine § 24.211 Formula required. The proprietor who desires to produce wine other than standard wine shall first obtain approval of the formula...

  2. 27 CFR 19.452 - Formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... Denaturation § 19.452 Formulas. Spirits shall be denatured in accordance with formulas as authorized in 27 CFR... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas. 19.452 Section 19.452 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT...

  3. 27 CFR 20.91 - Formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula. 20.91 Section 20... TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.91 Formula. (a) Each article made with specially denatured spirits shall be made in accordance...

  4. 5 CFR 1315.17 - Formulas.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 5 Administrative Personnel 3 2010-01-01 2010-01-01 false Formulas. 1315.17 Section 1315.17 Administrative Personnel OFFICE OF MANAGEMENT AND BUDGET OMB DIRECTIVES PROMPT PAYMENT § 1315.17 Formulas. (a) Rebate formula. (1) Agencies shall determine credit card payment dates based on an analysis of the...

  5. The Funding of Community Colleges: Formulas & Governance

    ERIC Educational Resources Information Center

    Mullin, Christopher M.; Honeyman, David S.

    2008-01-01

    This study identified governing state entities charged with the development of a funding formula for community colleges. Analysis of the data revealed that 40 states utilized a funding formula. Twenty-one states had a "Higher Education" entity with governing control of the formula, 5 states had a "Community College" entity with distinct funding…

  6. Algebraic Formulas for Areas between Curves.

    ERIC Educational Resources Information Center

    Gabai, Hyman

    1982-01-01

    Korean secondary school students preparing for college learn about a simple algebraic formula for area bounded by a parabola and line. The approach does not seem well-known among American students. It is noted that, while the formula derivations rely on integration, algebra students could use the formulas without proofs. (MP)

  7. Exponential Formulae and Effective Operations

    NASA Technical Reports Server (NTRS)

    Mielnik, Bogdan; Fernandez, David J. C.

    1996-01-01

    One of standard methods to predict the phenomena of squeezing consists in splitting the unitary evolution operator into the product of simpler operations. The technique, while mathematically general, is not so simple in applications and leaves some pragmatic problems open. We report an extended class of exponential formulae, which yield a quicker insight into the laboratory details for a class of squeezing operations, and moreover, can be alternatively used to programme different type of operations, as: (1) the free evolution inversion; and (2) the soft simulations of the sharp kicks (so that all abstract results involving the kicks of the oscillator potential, become realistic laboratory prescriptions).

  8. [Infant formulas and soy protein-based formulas: current data].

    PubMed

    Bocquet, A; Bresson, J L; Briend, A; Chouraqui, J P; Darmaun, D; Dupont, C; Frelut, M L; Ghisolfi, J; Goulet, O; Putet, G; Rieu, D; Turck, D; Vidailhet, M

    2001-11-01

    For many years soy bean-based formulas (SBBF) were the only dietary product used for infants with cow's milk intolerance. At the present time, their place in infant nutrition is reduced as a result of the availability of new dietary products without lactose and/or cow's milk proteins and the recognition of soy bean protein allergy. There is no evidence that SBBF have any efficiency in infant colic. SBBF have no indication in the prevention of allergy, nor in premature infants' nutrition. Their main indication is the feeding of infants of vegetarian parents who do not want to use cow's milk products. Studies have shown that SBBF contain large quantities of phytoestrogens, particularly isoflavone. Because of experimental data suggesting a possible deleterious effect of phytoestrogens on the neuroendocrine maturation, the reduction of their content in SBBF must be considered. PMID:11760676

  9. Formulaic Language in Alzheimer’s Disease

    PubMed Central

    Bridges, Kelly Ann; Van Lancker Sidtis, Diana

    2013-01-01

    Background Studies of productive language in Alzheimer’s disease (AD) have focused on formal testing of syntax and semantics but have directed less attention to naturalistic discourse and formulaic language. Clinical observations suggest that individuals with AD retain the ability to produce formulaic language long after other cognitive abilities have deteriorated. Aims This study quantifies production of formulaic expressions in the spontaneous speech of individuals with AD. Persons with early- and late-onset forms of the disease were compared. Methods & Procedures Conversational language samples of individuals with early- (n = 5) and late-onset (n = 6) AD and healthy controls (n = 5) were analyzed to determine whether formulaic language, as measured by the number of words in formulaic expressions, differs between groups. Outcomes & Results Results indicate that individuals with AD, regardless of age of onset, used significantly more formulaic expressions than healthy controls. The early- and late-onset AD groups did not differ on formulaic language measures. Conclusions These findings contribute to a dual process model of cerebral function, which proposes differing processing principles for formulaic and novel expressions. In this model, subcortical areas, which remain intact into late in the progression of Alzheimer’s disease, play an important role in the production of formulaic language. Applications to clinical practice include identifying preserved formulaic language and providing informed counseling to patient and family. PMID:24187417

  10. Cottingham formula and nucleon polarisabilities

    NASA Astrophysics Data System (ADS)

    Gasser, J.; Hoferichter, M.; Leutwyler, H.; Rusetsky, A.

    2015-08-01

    The difference between the electromagnetic self-energies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections - provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment.

  11. Cosmological parallax-distance formula

    NASA Astrophysics Data System (ADS)

    Singal, Ashok K.

    2015-09-01

    The standard cosmological parallax-distance formula, as found in the literature, including text-books and reference books on cosmology, requires a correction. This correction stems from the fact that in the standard text-book derivation it has been ignored that any chosen baseline in a gravitationally bound system does not partake in the cosmological expansion. Though the correction is available in the literature for some time, the text-books still continue to use the older, incorrect formula, and its full implications are not yet fully realized. Apart from providing an alternate correct, closed-form expression that is more suitable and convenient for computations for certain limiting cases of FRW () world models, we also demonstrate how one can compute parallax distance for the currently favored flat-space accelerating-universe (, ) cosmologies. Further, we show that the correction in parallax distance at large redshifts could amount to a factor of three or even more. Moreover, even in an infinite universe the parallax distance does not increase indefinitely with redshift and that even the farthest possible observable point may have a finite parallax angle, a factor that needs to be carefully taken into account when using distant objects as the background field against which the parallax of a foreground object is to be measured. Some other complications that could arise in parallax measurements of a distant source, like that due to the deflection of incoming light by the gravitation field of the Sun and other planetary bodies in the solar system, are pointed out.

  12. 27 CFR 26.225 - Previously approved formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... formulas. 26.225 Section 26.225 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE... Formulas for Products From the Virgin Islands § 26.225 Previously approved formulas. Any formula approved... voluntarily surrendered. Any person holding such a formula is not required to submit a new formula. If...

  13. 27 CFR 26.55 - Previously approved formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... formulas. 26.55 Section 26.55 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE... Formulas for Products From Puerto Rico § 26.55 Previously approved formulas. Any formula approved on Form... surrendered. Any person holding such a formula is not required to submit a new formula. If an approved...

  14. Rainfall intensity-duration-frequency formulas.

    USGS Publications Warehouse

    Chen, C.-L.

    1983-01-01

    A new general rainfall intensity-duration-frequency formula is presented, utilizing a method similar to, but more accurate than one previously developed. The previously developed formula was based on the average depth-duration ratio of about 40% and the mean depth-frequency ratio of 1.48. It is shown that this formula is only a particular form of the writer's more general formulation. -from Author

  15. Efficient formulas for efficiency correction of cumulants

    NASA Astrophysics Data System (ADS)

    Kitazawa, Masakiyo

    2016-04-01

    Formulas connecting cumulants of particle numbers observed with efficiency losses with the original ones are derived based on the binomial model. These formulas can be applied to quantities given by a linear combination of particle numbers observed with different efficiencies in a compact form. Compared with the presently suggested ones based on factorial moments, these formulas would drastically reduce the numerical cost for the efficiency corrections when the order of the cumulant and the number of different efficiencies are large. The efficiency correction with realistic pT-dependent efficiency would be carried out with the aid of these formulas.

  16. Preclinical assessment of infant formula.

    PubMed

    Lönnerdal, Bo

    2012-01-01

    Infant formulas are the sole or predominant source of nutrition for many infants and are fed during a sensitive period of development and may therefore have short- and long-term consequences for infant health. Preclinical safety assessment therefore needs to include both short-term and long-term studies in animals. It is recommended that procedures are instituted by which experts may serve as independent scientists for companies developing novel products, without having their integrity compromised, and later serve the legislative institutions. A two-level assessment approach to determine the potential toxicity of a novel ingredient, its metabolites, and their effects in the matrix on developing organ systems has been suggested by IOM. This appears reasonable, as novel ingredients can be of different levels of concern. The use of modern methods in genomics and proteomics should be considered in these evaluation processes as well as novel methods to evaluate outcomes, including metabolomics and molecular techniques to assess the microbiome. PMID:22699767

  17. Using Programmable Calculators to Evaluate Complicated Formulas.

    ERIC Educational Resources Information Center

    Snover, Stephen L.; Spikell, Mark A.

    The application of the programmable calculator to evaluating complicated formulas is illustrated by considering the formula for finding the area of any triangle when only the lengths of the three sides are known. Other advantages of the programmable calculator are discussed such as freeing the student to explore more challenging problems and…

  18. How to Save Money on Infant Formula

    MedlinePlus

    ... months. Here are some ways you can save money on infant formula . ... Here are a few ways to save money on infant formula: DO NOT buy just one type of baby bottle at first. Try a few different types to see which kind ...

  19. 28 CFR 38.2 - Formula grants.

    Code of Federal Regulations, 2011 CFR

    2011-07-01

    ... 28 Judicial Administration 1 2011-07-01 2011-07-01 false Formula grants. 38.2 Section 38.2 Judicial Administration DEPARTMENT OF JUSTICE EQUAL TREATMENT FOR FAITH-BASED ORGANIZATIONS § 38.2 Formula grants. (a) Religious organizations are eligible, on the same basis as any other organization, to participate in any Department program for which...

  20. Body surface area formulae: an alarming ambiguity

    PubMed Central

    Redlarski, Grzegorz; Palkowski, Aleksander; Krawczuk, Marek

    2016-01-01

    Body surface area (BSA) plays a key role in several medical fields, including cancer chemotherapy, transplantology, burn treatment and toxicology. BSA is often a major factor in the determination of the course of treatment and drug dosage. A series of formulae to simplify the process have been developed. Because easy-to-identify, yet general, body coefficient results of those formulae vary considerably, the question arises as to whether the choice of a particular formula is valid and safe for patients. Here we show that discrepancies between most of the known BSA formulae can reach 0.5 m2 for the standard adult physique. Although many previous studies have demonstrated that certain BSA formulae provide an almost exact fit with the patients examined, all of these studies have been performed on a limited and isolated group of people. Our analysis presents a broader perspective, considering 25 BSA formulae. The analysis revealed that the choice of a particular formula is a difficult task. Differences among calculations made by the formulae are so great that, in certain cases, they may considerably affect patients’ mortality, especially for people with an abnormal physique or for children. PMID:27323883

  1. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2013 CFR

    2013-01-01

    ... 10 Energy 4 2013-01-01 2013-01-01 false Extension formula. 905.33 Section 905.33 Energy DEPARTMENT OF ENERGY ENERGY PLANNING AND MANAGEMENT PROGRAM Power Marketing Initiative § 905.33 Extension formula. (a) The amount of power to be extended to an existing customer shall be determined according...

  2. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ... 10 Energy 4 2014-01-01 2014-01-01 false Extension formula. 905.33 Section 905.33 Energy DEPARTMENT OF ENERGY ENERGY PLANNING AND MANAGEMENT PROGRAM Power Marketing Initiative § 905.33 Extension formula. (a) The amount of power to be extended to an existing customer shall be determined according...

  3. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2012 CFR

    2012-01-01

    ... 10 Energy 4 2012-01-01 2012-01-01 false Extension formula. 905.33 Section 905.33 Energy DEPARTMENT OF ENERGY ENERGY PLANNING AND MANAGEMENT PROGRAM Power Marketing Initiative § 905.33 Extension formula. (a) The amount of power to be extended to an existing customer shall be determined according...

  4. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... 10 Energy 4 2010-01-01 2010-01-01 false Extension formula. 905.33 Section 905.33 Energy DEPARTMENT OF ENERGY ENERGY PLANNING AND MANAGEMENT PROGRAM Power Marketing Initiative § 905.33 Extension formula. (a) The amount of power to be extended to an existing customer shall be determined according...

  5. 10 CFR 905.33 - Extension formula.

    Code of Federal Regulations, 2011 CFR

    2011-01-01

    ... 10 Energy 4 2011-01-01 2011-01-01 false Extension formula. 905.33 Section 905.33 Energy DEPARTMENT OF ENERGY ENERGY PLANNING AND MANAGEMENT PROGRAM Power Marketing Initiative § 905.33 Extension formula. (a) The amount of power to be extended to an existing customer shall be determined according...

  6. 40 CFR 74.26 - Allocation formula.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... 40 Protection of Environment 16 2010-07-01 2010-07-01 false Allocation formula. 74.26 Section 74.26 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY (CONTINUED) AIR PROGRAMS (CONTINUED) SULFUR DIOXIDE OPT-INS Allowance Calculations for Combustion Sources § 74.26 Allocation formula. (a)...

  7. 38 CFR 9.12 - Reinsurance formula.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... 38 Pensions, Bonuses, and Veterans' Relief 1 2010-07-01 2010-07-01 false Reinsurance formula. 9.12 Section 9.12 Pensions, Bonuses, and Veterans' Relief DEPARTMENT OF VETERANS AFFAIRS SERVICEMEMBERS' GROUP LIFE INSURANCE AND VETERANS' GROUP LIFE INSURANCE § 9.12 Reinsurance formula. The allocation...

  8. Lewis Carroll's Formula for Calendar Calculating.

    ERIC Educational Resources Information Center

    Spitz, Herman H.

    1993-01-01

    This paper presents Lewis Carroll's formula for mentally calculating the day of the week of a given date. The paper concludes that such formulas are too complex for individuals of low intelligence to learn by themselves, and thus "idiots savants" who perform such calendar calculations must be using other systems. (JDD)

  9. Alternative Derivations for the Poisson Integral Formula

    ERIC Educational Resources Information Center

    Chen, J. T.; Wu, C. S.

    2006-01-01

    Poisson integral formula is revisited. The kernel in the Poisson integral formula can be derived in a series form through the direct BEM free of the concept of image point by using the null-field integral equation in conjunction with the degenerate kernels. The degenerate kernels for the closed-form Green's function and the series form of Poisson…

  10. A Choice of a New Funding Formula

    ERIC Educational Resources Information Center

    Hancock, Kenneth

    2008-01-01

    This report examines the fiscal neutrality of three funding formulas that have been proposed to replace the current funding formula for Oklahoma's common schools in an attempt to have greater equity in the distribution of funds to the various districts. Using data from SY-03 to SY-07, calculations of state aid for the 540- districts and fiscal…

  11. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.26...

  12. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... requirements. (a) General. An approved formula is required to blend, mix, purify, refine, compound, or...

  13. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... requirements. (a) General. An approved formula is required to blend, mix, purify, refine, compound, or...

  14. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.26...

  15. Body surface area formulae: an alarming ambiguity.

    PubMed

    Redlarski, Grzegorz; Palkowski, Aleksander; Krawczuk, Marek

    2016-01-01

    Body surface area (BSA) plays a key role in several medical fields, including cancer chemotherapy, transplantology, burn treatment and toxicology. BSA is often a major factor in the determination of the course of treatment and drug dosage. A series of formulae to simplify the process have been developed. Because easy-to-identify, yet general, body coefficient results of those formulae vary considerably, the question arises as to whether the choice of a particular formula is valid and safe for patients. Here we show that discrepancies between most of the known BSA formulae can reach 0.5 m(2) for the standard adult physique. Although many previous studies have demonstrated that certain BSA formulae provide an almost exact fit with the patients examined, all of these studies have been performed on a limited and isolated group of people. Our analysis presents a broader perspective, considering 25 BSA formulae. The analysis revealed that the choice of a particular formula is a difficult task. Differences among calculations made by the formulae are so great that, in certain cases, they may considerably affect patients' mortality, especially for people with an abnormal physique or for children. PMID:27323883

  16. Funding the Formula Adequately in Oklahoma

    ERIC Educational Resources Information Center

    Hancock, Kenneth

    2015-01-01

    This report is a longevity, simulational study that looks at how the ratio of state support to local support effects the number of school districts that breaks the common school's funding formula which in turns effects the equity of distribution to the common schools. After nearly two decades of adequately supporting the funding formula, Oklahoma…

  17. Formulas for sediment porosity and settling velocity

    Technology Transfer Automated Retrieval System (TEKTRAN)

    The formulas of Komura (1963) and Han et al. (1981) for the initial porosity of sediment deposits were tested using data sets collected in different countries and regions. It was found that Komura’s formula slightly underestimates the dry density for sand and gravel deposits and overestimates those ...

  18. Review of "Weighted Student Formula Yearbook 2009"

    ERIC Educational Resources Information Center

    Baker, Bruce

    2009-01-01

    The new "Weighted Student Formula Yearbook 2009" from the Reason Foundation provides a simple framework for touting the successes of states and urban school districts that grant greater fiscal autonomy to schools. The report defines the Weighted Student Formula (WSF) reform extremely broadly, presenting a variety of reforms under the WSF umbrella.…

  19. Formulas in Physics Have a "Standard" Form

    ERIC Educational Resources Information Center

    Moelter, Matthew J.; Jackson, Martin

    2012-01-01

    We discuss the importance of the ordering of symbols in physics formulas and identify implicit conventions that govern the "standard" form for how formulas are written and interpreted. An important part of writing and reading this form is understanding distinctions among constants, parameters, and variables. We delineate these conventions and…

  20. The health implications of soy infant formula

    Technology Transfer Automated Retrieval System (TEKTRAN)

    Soy formula (SF) has been fed to millions of infants worldwide. It has been shown to promote growth and development as well as milk-based formula (MF) does. Controversy has developed over the adequacy and safety of SF. Most concerns are based on in vivo and in vitro data that raise the possibility o...

  1. Teaching Structural Formulas in Chemistry: How Students Relate Structural Formulas to the Solubility of Substances.

    ERIC Educational Resources Information Center

    Goedhart, Martin; van Duin, Yvonne

    Structural formulas give professional chemists information about physical and chemical properties of corresponding compounds. In chemistry education at secondary schools, structural formulas are introduced in the context of chemical bonding. Structural formulas are not introduced as representations of the properties of chemical compounds. This…

  2. A ``fractal'' modification of Torricelli's formula

    NASA Astrophysics Data System (ADS)

    Maramathas, Athanasios J.; Boudouvis, Andreas G.

    2010-03-01

    A modification is proposed of Torricelli’s (1608-1647) formula for the velocity of water discharging from a small hole at the bottom of a large tank filled with fractal solid material. The new formula takes proper account of the mechanical energy losses due to flow in the solid matrix, thus expanding the area of validity of the classical Torricelli’s formula. Moreover, it offers a convenient alternative to Darcy’s law for estimating the discharge rate from an aquifer. The new formula was derived from laboratory experiments, with a low-Reynolds number discharge flow (Darcian flow). It was tested in a natural karst aquifer where the flow is non-Darcian, at Almiros spring on the island of Crete (Greece). In both cases, the predictive capability of the modified formula is established.

  3. Consistent Numerical Expressions for Precession Formulae.

    NASA Astrophysics Data System (ADS)

    Soma, M.

    The precession formulae by Lieske et al. (1977) have been used since 1984 for calculating apparent positions and reducing astrometric observations of celestial objects. These formulae are based on the IAU (1976) Astronomical Constants, some of which deviate from their recently determined values. They are also derived using the secular variations of the ecliptic pole from Newcomb's theory, which is not consistent with the recent planetary theories. Accordingly Simon et al. (1994) developed new precession formulae using the recently determined astronomical constants and also being based on the new planetary theory VSOP87. There are two differing definitions of the ecliptic: ecliptic in the inertial sense and ecliptic in the rotating sense (Standish 1981). The ecliptic given by the VSOP87 theory is that in the inertial sense, but the value for obliquity Simon et al. used is the obliquity in the rotating sense. Therefore their precession formulae has inconsistency. This paper gives corrections for consistent precession formulae.

  4. The Lichnerowicz-Weitzenboeck formula and superconductivity

    SciTech Connect

    Vargas-Paredes, Alfredo A.; Doria, Mauro M.; Neto, Jose Abdala Helayeel

    2013-01-15

    We derive the Lichnerowicz-Weitzenboeck formula for the two-component order parameter superconductor, which provides a twofold view of the kinetic energy of the superconductor. For the one component order parameter superconductor we review the connection between the Lichnerowicz-Weitzenboeck formula and the Ginzburg-Landau theory. For the two-component case we claim that this formula opens a venue to describe inhomogeneous superconducting states intertwined by spin correlations and charged dislocation. In this case the Lichnerowicz-Weitzenboeck formula displays local rotational and electromagnetic gauge symmetry (SU(2) Circled-Times U(1)) and relies on local commuting momentum and spin operators. The order parameter lives in a space with curvature and torsion described by Elie Cartan geometrical formalism. The Lichnerowickz-Weitzenboeck formula leads to first order differential equations that are a three-dimensional version of the Seiberg-Witten equations.

  5. The Processing on Different Types of English Formulaic Sequences

    ERIC Educational Resources Information Center

    Qian, Li

    2015-01-01

    Formulaic sequences are found to be processed faster than their matched novel phrases in previous studies. Given the variety of formulaic types, few studies have compared processing on different types of formulaic sequences. The present study explored the processing among idioms, speech formulae and written formulae. It has been found that in…

  6. 27 CFR 17.137 - Formulas disapproved for drawback.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas disapproved for... NONBEVERAGE PRODUCTS Formulas and Samples Approval of Formulas § 17.137 Formulas disapproved for drawback. A formula may be disapproved for drawback either because it does not prescribe appropriate ingredients...

  7. 27 CFR 21.52 - Formula No. 27.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27. 21.52... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.52 Formula No. 27. (a) Formula. To every 100 gallons of alcohol add:...

  8. 27 CFR 21.45 - Formula No. 20.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 20. 21.45... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.45 Formula No. 20. (a) Formula. To every 100 gallons of alcohol add:...

  9. 27 CFR 21.44 - Formula No. 19.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 19. 21.44... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.44 Formula No. 19. (a) Formula. To every 100 gallons of alcohol add:...

  10. 27 CFR 21.54 - Formula No. 27-B.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27-B. 21.54... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.54 Formula No. 27-B. (a) Formula. To every 100 gallons of alcohol add:...

  11. 27 CFR 21.36 - Formula No. 3-B.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-B. 21.36... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.36 Formula No. 3-B. (a) Formula. To every 100 gallons of alcohol add:...

  12. 27 CFR 17.122 - Amended or revised formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... formulas. 17.122 Section 17.122 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE... NONBEVERAGE PRODUCTS Formulas and Samples § 17.122 Amended or revised formulas. Except as provided in this section, amended or revised formulas are considered to be new formulas and shall be numbered...

  13. 27 CFR 21.38 - Formula No. 4.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 4. 21.38... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.38 Formula No. 4. (a) Formula. To every 100 gallons of alcohol, or to...

  14. 27 CFR 21.24 - Formula No. 20.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 20. 21.24... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.24 Formula No. 20. (a) Formula. To every 100 gallons of ethyl alcohol of not less than 195...

  15. 27 CFR 20.115 - Ink general-use formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Ink general-use formula..., DEPARTMENT OF THE TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process General-Use Formulas § 20.115 Ink general-use formula. Ink general-use formula is...

  16. 27 CFR 25.56 - Filing of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Filing of formulas. 25.56... OF THE TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.56 Filing of formulas. (a) What are the general requirements for filing a formula? (1) You must file your formula in writing....

  17. 27 CFR 21.46 - Formula No. 22.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 22. 21.46... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.46 Formula No. 22. (a) Formula. To every 100 gallons of alcohol add:...

  18. 27 CFR 21.70 - Formula No. 39-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 39-A. 21.70... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.70 Formula No. 39-A. (a) Formula. To every 100 gallons of alcohol add:...

  19. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  20. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  1. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  2. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  3. 27 CFR 24.127 - Adoption of formulas.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  4. 27 CFR 21.55 - Formula No. 28-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 28-A. 21.55... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.55 Formula No. 28-A. (a) Formula. To every 100 gallons of alcohol add:...

  5. 27 CFR 21.67 - Formula No. 38-D.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 38-D. 21.67... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.67 Formula No. 38-D. (a) Formula. To every 100 gallons of alcohol add:...

  6. 27 CFR 21.66 - Formula No. 38-C.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 38-C. 21.66... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.66 Formula No. 38-C. (a) Formula. To every 100 gallons of alcohol add:...

  7. 27 CFR 21.64 - Formula No. 37.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 37. 21.64... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.64 Formula No. 37. (a) Formula. To every 100 gallons of alcohol add:...

  8. The Parisi Formula has a Unique Minimizer

    NASA Astrophysics Data System (ADS)

    Auffinger, Antonio; Chen, Wei-Kuo

    2015-05-01

    In 1979, Parisi (Phys Rev Lett 43:1754-1756, 1979) predicted a variational formula for the thermodynamic limit of the free energy in the Sherrington-Kirkpatrick model, and described the role played by its minimizer. This formula was verified in the seminal work of Talagrand (Ann Math 163(1):221-263, 2006) and later generalized to the mixed p-spin models by Panchenko (Ann Probab 42(3):946-958, 2014). In this paper, we prove that the minimizer in Parisi's formula is unique at any temperature and external field by establishing the strict convexity of the Parisi functional.

  9. Simple formula for estimating airplane ceilings

    NASA Technical Reports Server (NTRS)

    Diehl, Walter S

    1922-01-01

    The aeronautical engineer often has occasion to estimate the absolute ceiling of an airplane for which a detailed performance calculation is out of the question. In such cases it is customary to use either empirical performance charts or formulae. The performance charts given in several of the recent works on aeronautics are satisfactory so long as the airplane under consideration does not depart too far from the average in its characteristics. The formulae, with one exception, are no better. Given here is that exception, with indications of which terms of the formula may be neglected without seriously affecting the results, thus simplifying the task.

  10. [Formula: see text] and [Formula: see text] Spoken Word Processing: Evidence from Divided Attention Paradigm.

    PubMed

    Shafiee Nahrkhalaji, Saeedeh; Lotfi, Ahmad Reza; Koosha, Mansour

    2016-10-01

    The present study aims to reveal some facts concerning first language ([Formula: see text] and second language ([Formula: see text] spoken-word processing in unbalanced proficient bilinguals using behavioral measures. The intention here is to examine the effects of auditory repetition word priming and semantic priming in first and second languages of these bilinguals. The other goal is to explore the effects of attention manipulation on implicit retrieval of perceptual and conceptual properties of spoken [Formula: see text] and [Formula: see text] words. In so doing, the participants performed auditory word priming and semantic priming as memory tests in their [Formula: see text] and [Formula: see text]. In a half of the trials of each experiment, they carried out the memory test while simultaneously performing a secondary task in visual modality. The results revealed that effects of auditory word priming and semantic priming were present when participants processed [Formula: see text] and [Formula: see text] words in full attention condition. Attention manipulation could reduce priming magnitude in both experiments in [Formula: see text]. Moreover, [Formula: see text] word retrieval increases the reaction times and reduces accuracy on the simultaneous secondary task to protect its own accuracy and speed. PMID:26643309

  11. Some Simple Computational Formulas for Multiple Regression

    ERIC Educational Resources Information Center

    Aiken, Lewis R., Jr.

    1974-01-01

    Short-cut formulas are presented for direct computation of the beta weights, the standard errors of the beta weights, and the multiple correlation coefficient for multiple regression problems involving three independent variables and one dependent variable. (Author)

  12. How to Save Money on Infant Formula

    MedlinePlus

    ... use a different liner with each feeding, which costs more. If your baby needs special formula because ... see if your insurance will help cover the cost. Not all health plans offer this coverage, but ...

  13. Generalized Doppler Formula in a Nonstatic Universe

    ERIC Educational Resources Information Center

    Gross, Peter G.

    1977-01-01

    Derives the general Doppler formula in a nonstatic universe using assumptions of special relativity, homogeneity and isotropy of the universe. Examples of applications to physical cosmology are given. (SL)

  14. A Summation Formula for Macdonald Polynomials

    NASA Astrophysics Data System (ADS)

    de Gier, Jan; Wheeler, Michael

    2016-03-01

    We derive an explicit sum formula for symmetric Macdonald polynomials. Our expression contains multiple sums over the symmetric group and uses the action of Hecke generators on the ring of polynomials. In the special cases {t = 1} and {q = 0}, we recover known expressions for the monomial symmetric and Hall-Littlewood polynomials, respectively. Other specializations of our formula give new expressions for the Jack and q-Whittaker polynomials.

  15. Parametric Improper Integrals, Wallis Formula and Catalan Numbers

    ERIC Educational Resources Information Center

    Dana-Picard, Thierry; Zeitoun, David G.

    2012-01-01

    We present a sequence of improper integrals, for which a closed formula can be computed using Wallis formula and a non-straightforward recurrence formula. This yields a new integral presentation for Catalan numbers.

  16. 27 CFR 26.54 - Filing and disposition of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From Puerto Rico § 26.54 Filing and disposition of formulas. Formulas required...

  17. A Connection Formula for the q-Confluent Hypergeometric Function

    NASA Astrophysics Data System (ADS)

    Morita, Takeshi

    2013-07-01

    We show a connection formula for the q-confluent hypergeometric functions {}_2ϕ_1(a,b;0;q,x). Combining our connection formula with Zhang's connection formula for {}_2ϕ_0(a,b;-;q,x), we obtain the connection formula for the q-confluent hypergeometric equation in the matrix form. Also we obtain the connection formula of Kummer's confluent hypergeometric functions by taking the limit qto 1^{-} of our connection formula.

  18. Bellco Formula Domus Home Care System.

    PubMed

    Trewin, Elizabeth

    2004-01-01

    There are certain characteristics in a dialysis machine that would be desirable for use in home and limited care environments. These features relate to safety, ease of use, consideration of physical space, and reliability. The Bellco Formula Domus Home Care System was designed to meet all these requirements. Bellco's philosophy of patient treatment centers on global biocompatibility. This is evident in the design of the Formula Domus Home Care System. It has the smallest hydraulic fluid pathway of any dialysis machine on the market. Formula is capable of preparing ultrapure dialysate. The ultrafiltration measurement mechanism, the patented Coriolis flow meter, measures the mass of the dialysate, not the volume. For this reason it is the only dialysis machine that detects actual backfiltration, not just the theoretical possibility of it based on transmembrane pressure. The Coriolis flow meter also ensures that dialysate flow is a true single pass. The operator interface is a single window operating control. It is possible to select up to 14 different languages. There is an online help key to assist patients with troubleshooting. Programmable start-up and shutdown times save time for the patient. Formula is the only dialysis machine to offer a backup battery feature. Formula is capable of communicating with any software available. The focus on global biocompatibility ensures the best quality dialysis treatments for a population of patients who will likely remain on dialysis for a longer period of time than conventional dialysis patients. PMID:15043621

  19. Funding Formulas for California Schools III: An Analysis of Governor Brown's Weighted Pupil Funding Formula

    ERIC Educational Resources Information Center

    Rose, Heather; Sonstelie, Jon; Weston, Margaret

    2012-01-01

    In his 2012-13 budget Governor Brown proposed a new system for allocating state revenue among California school districts. By all accounts the current system is complex and opaque. In contrast, the proposed system--a weighted pupil funding formula--is simple and transparent. Using the PPIC School Finance Model, we compare how this formula would…

  20. A simplification of the Kovarik formula

    NASA Astrophysics Data System (ADS)

    Chen, Yan-Ni; Du, Hong-Ke; Pang, Yong-Feng

    2007-07-01

    Let P,Q be two idempotents on a Hilbert space. Z.V. Kovarik (Z.V. Kovarik, Similarity and interpolation between projectors, Acta Sci. Math. (Szeged) 39 (1977) 341-351) showed that when P+Q-I is invertible, the formula K(P,Q)=P(P+Q-I)-2Q gives the only idempotent such that , , where and denote the nullspace and the range of a bounded linear operator T on a Hilbert space, respectively. This formula was later extended to the context of Banach algebras and used in 1983 by J. Esterle to show that two homotopic idempotents may always be connected by a polynomial idempotent valued path. In the present paper, we give a simplification of Kovarik's original formula and one natural generalization of it.

  1. Mass formula for quasi-black holes

    SciTech Connect

    Lemos, Jose P. S.; Zaslavskii, Oleg B.

    2008-12-15

    A quasi-black hole, either nonextremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's quasihorizon. We consider the mass contributions and the mass formula for a static quasi-black hole. The analysis involves careful scrutiny of the surface stresses when the limiting configuration is reached. It is shown that there exists a strict correspondence between the mass formulas for quasi-black holes and pure black holes. This perfect parallelism exists in spite of the difference in derivation and meaning of the formulas in both cases. For extremal quasi-black holes the finite surface stresses give zero contribution to the total mass. This leads to a very special version of Abraham-Lorentz electron in general relativity in which the total mass has pure electromagnetic origin in spite of the presence of bare stresses.

  2. Ewens sampling formulae with and without selection

    NASA Astrophysics Data System (ADS)

    Huillet, Thierry

    2007-09-01

    We shall first consider the random Dirichlet partitioning of the interval into n fragments at temperature [theta]>0. Using calculus for Dirichlet integrals, pre-asymptotic versions of the Ewens sampling formulae from finite Dirichlet partitions follow up. From these preliminaries, straightforward proofs of the usual sampling formulae from random proportions with Poisson-Dirichlet (PD)([gamma]) distribution can be obtained, while considering the Kingman limit n[NE pointing arrow][infinity], [theta][south east arrow]0, with n[theta]=[gamma]>0. In this manuscript, the Gibbs version of the Dirichlet partition with symmetric selection is considered. By use of similar series expansion calculus for Dirichlet integrals, closed-form expressions of Ewens sampling formulae in the presence of selection are obtained; special types of Bell polynomials are shown to be involved.

  3. 27 CFR 21.41 - Formula No. 13-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 13-A. 21.41 Section 21.41 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No....

  4. 27 CFR 21.40 - Formula No. 12-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 12-A. 21.40 Section 21.40 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.40 Formula No....

  5. 27 CFR 21.47 - Formula No. 23-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 23-A. 21.47 Section 21.47 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.47 Formula No....

  6. 27 CFR 21.32 - Formula No. 1.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 1. 21.32 Section 21.32 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.32 Formula No. 1....

  7. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32....

  8. 27 CFR 21.57 - Formula No. 30.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 30. 21.57 Section 21.57 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30....

  9. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 35-A. 21.62 Section 21.62 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No....

  10. 27 CFR 21.41 - Formula No. 13-A.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 13-A. 21.41 Section 21.41 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No....

  11. 27 CFR 21.57 - Formula No. 30.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 30. 21.57 Section 21.57 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30....

  12. 27 CFR 21.41 - Formula No. 13-A.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 13-A. 21.41 Section 21.41 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No....

  13. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32....

  14. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32....

  15. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 35-A. 21.62 Section 21.62 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No....

  16. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 35-A. 21.62 Section 21.62 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No....

  17. 27 CFR 21.57 - Formula No. 30.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 30. 21.57 Section 21.57 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30....

  18. 27 CFR 21.40 - Formula No. 12-A.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 12-A. 21.40 Section 21.40 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.40 Formula No....

  19. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  20. 27 CFR 21.69 - Formula No. 39.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 39. 21.69 Section 21.69 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69 Formula No. 39....

  1. 27 CFR 21.63 - Formula No. 36.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 36. 21.63 Section 21.63 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63 Formula No. 36....

  2. 27 CFR 21.69 - Formula No. 39.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 39. 21.69 Section 21.69 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69 Formula No. 39....

  3. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  4. 27 CFR 21.23 - Formula No. 19.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 19. 21.23... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.23 Formula No. 19. To every 100 gallons of ethyl alcohol of not less than 160 proof add:...

  5. 24 CFR 990.110 - Operating fund formula.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 24 Housing and Urban Development 4 2010-04-01 2010-04-01 false Operating fund formula. 990.110... DEVELOPMENT THE PUBLIC HOUSING OPERATING FUND PROGRAM Purpose, Applicability, Formula, and Definitions § 990.110 Operating fund formula. (a) General formula. (1) The amount of annual contributions...

  6. 27 CFR 24.81 - Filing of formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Filing of formulas. 24.81... OF THE TREASURY LIQUORS WINE Administrative and Miscellaneous Provisions Formulas § 24.81 Filing of formulas. The proprietor shall on each formula filed designate all ingredients and, if required,...

  7. 27 CFR 17.126 - Formulas for intermediate products.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas for intermediate... NONBEVERAGE PRODUCTS Formulas and Samples § 17.126 Formulas for intermediate products. (a) The manufacturer shall submit a formula on TTB Form 5154.1 for each self-manufactured ingredient made with...

  8. 27 CFR 21.22 - Formula No. 18.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 18. 21.22... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.22 Formula No. 18. To every 100 gallons of ethyl alcohol of not less than 160 proof add:...

  9. 7 CFR 761.205 - Computing the formula allocation.

    Code of Federal Regulations, 2013 CFR

    2013-01-01

    ... 7 Agriculture 7 2013-01-01 2013-01-01 false Computing the formula allocation. 761.205 Section 761... Farm Loan Programs Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula... funds for a loan program that the National Office allocates to a State Office. formula...

  10. 7 CFR 761.205 - Computing the formula allocation.

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ... 7 Agriculture 7 2014-01-01 2014-01-01 false Computing the formula allocation. 761.205 Section 761... Farm Loan Programs Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula... funds for a loan program that the National Office allocates to a State Office. formula...

  11. 7 CFR 761.205 - Computing the formula allocation.

    Code of Federal Regulations, 2012 CFR

    2012-01-01

    ... 7 Agriculture 7 2012-01-01 2012-01-01 false Computing the formula allocation. 761.205 Section 761... Farm Loan Programs Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula... funds for a loan program that the National Office allocates to a State Office. formula...

  12. 27 CFR 21.53 - Formula No. 27-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27-A. 21.53 Section 21.53 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.53 Formula No....

  13. Formula Estimation of Cross-Validated Multiple Correlation.

    ERIC Educational Resources Information Center

    Schmitt, Neal

    A review of cross-validation shrinkage formulas is presented which focuses on the theoretical and practical problems in the use of various formulas. Practical guidelines for use of both formulas and empirical cross-validation are provided. A comparison of results using these formulas in a range of situations is then presented. The result of these…

  14. 27 CFR 21.68 - Formula No. 38-F.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 38-F. 21.68 Section 21.68 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.68 Formula No....

  15. 27 CFR 21.75 - Formula No. 40-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 40-A. 21.75 Section 21.75 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.75 Formula No....

  16. 27 CFR 21.71 - Formula No. 39-B.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 39-B. 21.71 Section 21.71 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.71 Formula No....

  17. 27 CFR 21.49 - Formula No. 23-H.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 23-H. 21.49 Section 21.49 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.49 Formula No....

  18. 27 CFR 21.74 - Formula No. 40.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 40. 21.74 Section 21.74 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.74 Formula No. 40....

  19. 27 CFR 21.63 - Formula No. 36.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 36. 21.63 Section 21.63 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63 Formula No. 36....

  20. 27 CFR 21.76 - Formula No. 40-B.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 40-B. 21.76 Section 21.76 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.76 Formula No....

  1. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  2. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  3. 27 CFR 21.59 - Formula No. 32.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 32. 21.59 Section 21.59 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32....

  4. 27 CFR 21.62 - Formula No. 35-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 35-A. 21.62 Section 21.62 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No....

  5. 27 CFR 21.40 - Formula No. 12-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 12-A. 21.40 Section 21.40 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.40 Formula No....

  6. 27 CFR 21.47 - Formula No. 23-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 23-A. 21.47 Section 21.47 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.47 Formula No....

  7. 27 CFR 21.41 - Formula No. 13-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 13-A. 21.41 Section 21.41 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No....

  8. 27 CFR 21.57 - Formula No. 30.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 30. 21.57 Section 21.57 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30....

  9. 27 CFR 21.32 - Formula No. 1.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 1. 21.32 Section 21.32 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.32 Formula No. 1....

  10. 27 CFR 21.48 - Formula No. 23-F.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 23-F. 21.48 Section 21.48 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No....

  11. 27 CFR 21.69 - Formula No. 39.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 39. 21.69 Section 21.69 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69 Formula No. 39....

  12. Gaussian quadrature formulae for arbitrary positive measures.

    PubMed

    Fernandes, Andrew D; Atchley, William R

    2006-01-01

    We present computational methods and subroutines to compute Gaussian quadrature integration formulas for arbitrary positive measures. For expensive integrands that can be factored into well-known forms, Gaussian quadrature schemes allow for efficient evaluation of high-accuracy and -precision numerical integrals, especially compared to general ad hoc schemes. In addition, for certain well-known density measures (the normal, gamma, log-normal, Student's t, inverse-gamma, beta, and Fisher's F) we present exact formulae for computing the respective quadrature scheme. PMID:19455218

  13. Lewis Carroll's formula for calendar calculating.

    PubMed

    Spitz, H H

    1994-03-01

    One of the extraordinary skills occasionally displayed by individuals of low intelligence (so-called idiots savants) is the ability to name, within seconds, the day of the week for any given date, sometimes over a range of centuries. A number of scholarly papers contain references to formulas that can be used in making this calculation, but none cites one of the earliest published methods, that of Lewis Carroll. However, formulas such as Carroll's are too complex to be self-taught by idiots savants and, consequently, cannot account for their remarkable performance. Alternative explanatory hypotheses were briefly discussed. PMID:8192906

  14. Lead content of milk and infant formula

    SciTech Connect

    Walker, B.

    1980-03-01

    Survey report:A survey to determine the lead content of early infant food sources was conducted in Washington, D.C. Samples were collected from various lots of national brands of infant formula and evaporated milk, cartons of nonfat dry milk, containers of homogenized cow's milk, and human milk. Mean concentrations of lead in infant formula, evaporated milk, nonfat dry milk, fresh cow's milk, and human milk were 0.135 g/ml, 0.03 g/ml, 0.01 g/ml, 0.53 g/ml, and 0.02 g/ml respectively. (2 references, 2 tables)

  15. Pesin's Entropy Formula for Systems Between and

    NASA Astrophysics Data System (ADS)

    Tian, Xueting

    2014-09-01

    In this article we give a new observation of Pesin's entropy formula, motivated from Mañé's proof of (Ergod Theory Dyn Sys 1:95-102, 1981). Let be a compact Riemann manifold and be a diffeomorphism on . If is an -invariant probability measure which is absolutely continuous relative to Lebesgue measure and nonuniformly-Hlder-continuous(see Definition 1.1), then we have Pesin's entropy formula, i.e., the metric entropy satisfies where are the Lyapunov exponents at with respect to Nonuniformly-H lder-continuous is a new notion from probabilistic perspective weaker than

  16. Empirical formula of crustal torsional oscillations

    NASA Astrophysics Data System (ADS)

    Sotani, Hajime

    2016-02-01

    Crustal torsional oscillations depend on not only crust properties but also the stellar mass and radius. Thus, one could extract stellar information by identifying the observed frequencies of stellar oscillations with the crustal torsional oscillations. Owing to the confinement of torsional oscillations inside the crust region of neutron stars, we successfully derive an empirical formula for the fundamental crustal torsional oscillations as a function of the stellar mass, radius, the so-called slope parameter of the nuclear symmetry energy, and the angular index of oscillations, with which one can estimate the frequencies with high accuracy. This empirical formula could be valuable in both the astrophysics and nuclear physics communities.

  17. Semiclassical trace formulas for noninteracting identical particles

    NASA Astrophysics Data System (ADS)

    Sakhr, Jamal; Whelan, Niall D.

    2003-06-01

    We extend the Gutzwiller trace formula to systems of noninteracting identical particles. The standard relation for isolated orbits does not apply since the energy of each particle is separately conserved causing the periodic orbits to occur in continuous families. The identical nature of the particles also introduces discrete permutational symmetries. We exploit the formalism of Creagh and Littlejohn [Phys. Rev. A 44, 836 (1991)], who have studied semiclassical dynamics in the presence of continuous symmetries, to derive many-body trace formulas for the full and symmetry-reduced densities of states. Numerical studies of the three-particle cardioid billiard are used to explicitly illustrate and test the results of the theory.

  18. Connection formulas for thermal density functional theory

    NASA Astrophysics Data System (ADS)

    Pribram-Jones, A.; Burke, K.

    2016-05-01

    The adiabatic connection formula of ground-state density functional theory relates the correlation energy to a coupling-constant integral over a purely potential contribution, and is widely used to understand and improve approximations. The corresponding formula for thermal density functional theory is cast as an integral over temperatures instead, ranging upward from the system's physical temperature. We also show how to relate different correlation components to each other, either in terms of temperature or coupling-constant integrations. We illustrate our results on the uniform electron gas.

  19. Validation of a new formula for mean arterial pressure calculation: the new formula is superior to the standard formula.

    PubMed

    Razminia, Mansour; Trivedi, Atul; Molnar, Janos; Elbzour, Monther; Guerrero, Mayra; Salem, Yasser; Ahmed, Aziz; Khosla, Sandeep; Lubell, David L

    2004-12-01

    Mean arterial pressure (MAP) has traditionally been derived from systolic and diastolic pressures, weighted 1/3 systolic and 2/3 diastolic. No correction is made for the increasing time dominance of systole with increasing heart rates. In a previous study, we developed a new and more accurate heart rate-corrected MAP formula from central aorta pressure determinations in a large number of patients: MAP = DP + [0.33 + (HR x 0.0012)] x [PP] where SP and DP are systolic and diastolic pressure and HR is heart rate. The current study validates the new MAP formula in the same patient at increasing paced heart rates. A central aorta catheter was used to obtain computer-determined systolic, diastolic, and MAP in 12 patients. Values were obtained at baseline and then at increasing right atrial paced heart rates. The new and standard MAP formula-derived values were compared with computer-determined values. The new formula showed a much closer correlation with the computer-derived values for MAP. Standard MAP calculations for MAP can easily be improved by inclusion of a heart rate factor. PMID:15558774

  20. Implementing Gilbert's PIP Formula in the Workplace.

    ERIC Educational Resources Information Center

    Cardinale, Loretta A.

    Gilbert (1978) developed a Potential for Improving Performance (PIP) formula based on worth, value, and cost. Worth related the value of a performance to its cost. The PIP related the worth of exemplary performance to the worth of average performance. This offered an opportunity for improvement by making appropriate changes through training or…

  1. 25 CFR 273.31 - Distribution formula.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 25 Indians 1 2011-04-01 2011-04-01 false Distribution formula. 273.31 Section 273.31 Indians BUREAU OF INDIAN AFFAIRS, DEPARTMENT OF THE INTERIOR INDIAN SELF-DETERMINATION AND EDUCATION ASSISTANCE ACT PROGRAM EDUCATION CONTRACTS UNDER JOHNSON-O'MALLEY ACT Funding Provisions § 273.31...

  2. 24 CFR 574.130 - Formula allocations.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 24 Housing and Urban Development 3 2011-04-01 2010-04-01 true Formula allocations. 574.130 Section 574.130 Housing and Urban Development Regulations Relating to Housing and Urban Development (Continued) OFFICE OF ASSISTANT SECRETARY FOR COMMUNITY PLANNING AND DEVELOPMENT, DEPARTMENT OF HOUSING AND...

  3. 24 CFR 92.50 - Formula allocation.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 24 Housing and Urban Development 1 2010-04-01 2010-04-01 false Formula allocation. 92.50 Section 92.50 Housing and Urban Development Office of the Secretary, Department of Housing and Urban... previous fiscal year, are metropolitan cities, urban counties, or consortia approved under § 92.101;...

  4. Nevada's College Funding Formula under Attack

    ERIC Educational Resources Information Center

    Black Issues in Higher Education, 2005

    2005-01-01

    Community College of Southern Nevada (CCSN) President Richard Carpenter has criticized the state's college funding formula, saying it penalizes southern Nevada students--particularly minorities. Carpenter said he hopes lawmakers will alter a complex equation that leads to a discrepancy in funding between CCSN and other institutions, including…

  5. 5 CFR 1315.17 - Formulas.

    Code of Federal Regulations, 2014 CFR

    2014-01-01

    ...) Rebate formula. (1) Agencies shall determine credit card payment dates based on an analysis of the total... offered by the card issuer with the corresponding daily basis points of the government's Current Value of Funds (CVF) rate. If the basis points offered by the card issuer are greater than the daily basis...

  6. 5 CFR 1315.17 - Formulas.

    Code of Federal Regulations, 2013 CFR

    2013-01-01

    ...) Rebate formula. (1) Agencies shall determine credit card payment dates based on an analysis of the total... offered by the card issuer with the corresponding daily basis points of the government's Current Value of Funds (CVF) rate. If the basis points offered by the card issuer are greater than the daily basis...

  7. Adolescent Formula Literature and Its Promiscuous Progeny.

    ERIC Educational Resources Information Center

    Stanek, Lou Willett

    This paper discusses the history and effect of popular culture generally and of the adolescent formula novel specifically. Seven primary characteristics of art as popular culture are that the work is accessible, easy to understand, conventional in form, not shocking in content, expressive of common and appropriate values, relative to some element…

  8. The Economic Vitality Formula of Success

    ERIC Educational Resources Information Center

    Konopnicki, Patrick M.

    2012-01-01

    An economic vitality formula of success can be accomplished by creating partnerships between local career and technical education (CTE), and workforce development and economic development entities. Student industry certifications; dynamic partnerships; programs and projects focused on science, technology, engineering, and mathematics (STEM); and…

  9. 28 CFR 38.2 - Formula grants.

    Code of Federal Regulations, 2013 CFR

    2013-07-01

    ... 28 Judicial Administration 1 2013-07-01 2013-07-01 false Formula grants. 38.2 Section 38.2... grants. (a) Religious organizations are eligible, on the same basis as any other organization, to... religious character or affiliation. As used in this section, “program” refers to a grant, contract,...

  10. Trinomial Formula, Pascal- and Sierpinski-Pyramid

    ERIC Educational Resources Information Center

    Zeitler, H.

    2002-01-01

    Stimulated by a picture of a Sierpinski-pyramid and an article by Stewart, students were asked about a connection between this pyramid and the well-known trinomial formula. The results of all the work done with students are presented in this note. (Contains 8 figures.)

  11. Beyond the Formula: Students Becoming Writers.

    ERIC Educational Resources Information Center

    Dobler, Judith

    To become writers, students must see themselves as writers and be treated as writers by their teachers. Students need to find the motivation to go beyond formulas, to grapple with messy, often inchoate ideas, to find their own particular angle of vision. What rhetoricians call "invention" or "discovery" is difficult to pin down. Without a system…

  12. 27 CFR 19.348 - Formula requirements.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2012-04-01 2012-04-01 false Formula requirements. 19.348 Section 19.348 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU... 5100.51 as provided in §§ 5.26 and 5.27 of this chapter before a proprietor may: (a) Blend, mix,...

  13. 27 CFR 19.348 - Formula requirements.

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2014-04-01 2014-04-01 false Formula requirements. 19.348 Section 19.348 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL DISTILLED SPIRITS PLANTS Processing of Distilled Spirits Filing...

  14. 27 CFR 19.348 - Formula requirements.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula requirements. 19.348 Section 19.348 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL DISTILLED SPIRITS PLANTS Processing of Distilled Spirits Filing...

  15. 27 CFR 19.348 - Formula requirements.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula requirements. 19.348 Section 19.348 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU... 5100.51 as provided in §§ 5.26 and 5.27 of this chapter before a proprietor may: (a) Blend, mix,...

  16. Quantification of prebiotics in commercial infant formulas.

    PubMed

    Sabater, Carlos; Prodanov, Marin; Olano, Agustín; Corzo, Nieves; Montilla, Antonia

    2016-03-01

    Since breastfeeding is not always possible, infant formulas (IFs) are supplemented with prebiotic oligosaccharides, such as galactooligosaccharides (GOS) and/or fructooligosaccharides (FOS) to exert similar effects to those of the breast milk. Nowadays, a great number of infant formulas enriched with prebiotics are disposal in the market, however there are scarce data about their composition. In this study, the combined use of two chromatographic methods (GC-FID and HPLC-RID) for the quantification of carbohydrates present in commercial infant formulas have been used. According to the results obtained by GC-FID for products containing prebiotics, the content of FOS, GOS and GOS/FOS was in the ranges of 1.6-5.0, 1.7-3.2, and 0.08-0.25/2.3-3.8g/100g of product, respectively. HPLC-RID analysis allowed quantification of maltodextrins with degree of polymerization (DP) up to 19. The methodology proposed here may be used for routine quality control of infant formula and other food ingredients containing prebiotics. PMID:26471520

  17. 27 CFR 5.26 - Formula requirements.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... Supplemental or Form 5110.38 shall remain in effect until revoked, superseded, or voluntarily surrendered....

  18. Universal fitting formulae for baryon oscillation surveys

    NASA Astrophysics Data System (ADS)

    Blake, Chris; Parkinson, David; Bassett, Bruce; Glazebrook, Karl; Kunz, Martin; Nichol, Robert C.

    2006-01-01

    The next generation of galaxy surveys will attempt to measure the baryon oscillations in the clustering power spectrum with high accuracy. These oscillations encode a preferred scale which may be used as a standard ruler to constrain cosmological parameters and dark energy models. In this paper we present simple analytical fitting formulae for the accuracy with which the preferred scale may be determined in the tangential and radial directions by future spectroscopic and photometric galaxy redshift surveys. We express these accuracies as a function of survey parameters such as the central redshift, volume, galaxy number density and (where applicable) photometric redshift error. These fitting formulae should greatly increase the efficiency of optimizing future surveys, which requires analysis of a potentially vast number of survey configurations and cosmological models. The formulae are calibrated using a grid of Monte Carlo simulations, which are analysed by dividing out the overall shape of the power spectrum before fitting a simple decaying sinusoid to the oscillations. The fitting formulae reproduce the simulation results with a fractional scatter of 7 per cent (10 per cent) in the tangential (radial) directions over a wide range of input parameters. We also indicate how sparse-sampling strategies may enhance the effective survey area if the sampling scale is much smaller than the projected baryon oscillation scale.

  19. Stability and Equity in Education Finance Formulas.

    ERIC Educational Resources Information Center

    Fox, William; Murray, Matthew; Price, Patricia A.

    2002-01-01

    Examines the effectiveness of new funding formula included in major education reform legislation passed by the Tennessee legislature in early 1990s. Finds unanticipated outcomes. For example, while the variance in per-pupil spending among districts is smaller than before the legislation, the gap between the per-pupil spending of one-third of the…

  20. Effects of neurological damage on production of formulaic language

    PubMed Central

    Sidtis, D.; Canterucci, G.; Katsnelson, D.

    2014-01-01

    Early studies reported preserved formulaic language in left hemisphere damaged subjects and reduced incidence of formulaic expressions in the conversational speech of stroke patients with right hemispheric damage. Clinical observations suggest a possible role also of subcortical nuclei. This study examined formulaic language in the spontaneous speech of stroke patients with left, right, or subcortical damage. Four subjects were interviewed and their speech samples compared to normal speakers. Raters classified formulaic expressions as speech formulae, fillers, sentence stems, and proper nouns. Results demonstrated that brain damage affected novel and formulaic language competence differently, with a significantly smaller proportion of formulaic expressions in subjects with right or subcortical damage compared to left hemisphere damaged or healthy speakers. These findings converge with previous studies that support the proposal of a right hemisphere/subcortical circuit in the management of formulaic expressions, based on a dual-process model of language incorporating novel and formulaic language use. PMID:19382014

  1. COMPARISON OF CHILDREN'S FOLLOW-ON INSTANT POWDERED COW'S MILK FORMULA, BUFFALO MILK FORMULA AND CHICKEN-BASED FORMULA ON ENAMEL MICROHARDNESS OF BOVINE TEETH IN VITRO.

    PubMed

    Vongsavan, Kadkao; Rirattanapong, Praphasri; Surarit, Rudee

    2016-03-01

    Dental caries are a major public health problem worldwide. The aim of this study was to compare the effects of children's follow-on instant powdered cow's milk formula, buffalo milk formula and a chicken-based formula on microhardness of bovine enamel with artificial caries-like lesions. Forty bovine teeth were each placed in acrylic blocks and the enamel surfaces were polished to create flat 5 x 5 millimeter surfaces. The teeth surfaces were then demineralized using 0.1M lactic acid (pH 4.5) to achieve an enamel microhardness of 35-65 Vickers Hardness Numbers (VHN). All specimens were then randomly allocated into one of 4 groups (n=10/group). For remineralization, each group was soaked in a different kind of milk formula for 2 hours at 37°C except group 1 which was a negative control (artificial saliva) group. Group 2 was soaked in Murrah™ buffalo milk formula (a positive control ), group 3 in S-26-Promil-Gold™ (cow's milk formula) and group 4 in a chicken-based formula (Siriraj Hospital, Mahidol University). The microhardness of the specimens was then measured again. Data were analyzed using a one-way ANOVA and paired t-test with a 95% confidence interval. After exposure to the formula, the mean VHN for each study group was significantly higher (paired t-test, p < 0.05) except for group 1 (p = 0.345). The mean VHN for the the Murrah™ buffalo milk formula, the chicken-based formula and the S-26-Promil-Gold™ formula group were not significantly different from each other (one-way ANOVA, p > 0.05). In conclusion, S-26-Promil-Gold™ follow-on cow milk formula, Murrah™ buffalo milk formula and the chicken-based formula all increased bovine enamel microhardness after soaking for 2 hours. PMID:27244971

  2. Matrix product formula for Macdonald polynomials

    NASA Astrophysics Data System (ADS)

    Cantini, Luigi; de Gier, Jan; Wheeler, Michael

    2015-09-01

    We derive a matrix product formula for symmetric Macdonald polynomials. Our results are obtained by constructing polynomial solutions of deformed Knizhnik-Zamolodchikov equations, which arise by considering representations of the Zamolodchikov-Faddeev and Yang-Baxter algebras in terms of t-deformed bosonic operators. These solutions are generalized probabilities for particle configurations of the multi-species asymmetric exclusion process, and form a basis of the ring of polynomials in n variables whose elements are indexed by compositions. For weakly increasing compositions (anti-dominant weights), these basis elements coincide with non-symmetric Macdonald polynomials. Our formulas imply a natural combinatorial interpretation in terms of solvable lattice models. They also imply that normalizations of stationary states of multi-species exclusion processes are obtained as Macdonald polynomials at q = 1.

  3. Semiclassical trace formulas for noninteracting identical particles.

    PubMed

    Sakhr, Jamal; Whelan, Niall D

    2003-06-01

    We extend the Gutzwiller trace formula to systems of noninteracting identical particles. The standard relation for isolated orbits does not apply since the energy of each particle is separately conserved causing the periodic orbits to occur in continuous families. The identical nature of the particles also introduces discrete permutational symmetries. We exploit the formalism of Creagh and Littlejohn [Phys. Rev. A 44, 836 (1991)], who have studied semiclassical dynamics in the presence of continuous symmetries, to derive many-body trace formulas for the full and symmetry-reduced densities of states. Numerical studies of the three-particle cardioid billiard are used to explicitly illustrate and test the results of the theory. PMID:16241332

  4. Inclusion probability with dropout: an operational formula.

    PubMed

    Milot, E; Courteau, J; Crispino, F; Mailly, F

    2015-05-01

    In forensic genetics, a mixture of two or more contributors to a DNA profile is often interpreted using the inclusion probabilities theory. In this paper, we present a general formula for estimating the probability of inclusion (PI, also known as the RMNE probability) from a subset of visible alleles when dropouts are possible. This one-locus formula can easily be extended to multiple loci using the cumulative probability of inclusion. We show that an exact formulation requires fixing the number of contributors, hence to slightly modify the classic interpretation of the PI. We discuss the implications of our results for the enduring debate over the use of PI vs likelihood ratio approaches within the context of low template amplifications. PMID:25559642

  5. Pizzetti Formulae for Stiefel Manifolds and Applications

    NASA Astrophysics Data System (ADS)

    Coulembier, Kevin; Kieburg, Mario

    2015-10-01

    Pizzetti's formula explicitly shows the equivalence of the rotation invariant integration over a sphere and the action of rotation invariant differential operators. We generalize this idea to the integrals over real, complex, and quaternion Stiefel manifolds in a unifying way. In particular, we propose a new way to calculate group integrals and try to uncover some algebraic structures which manifest themselves for some well-known cases like the Harish-Chandra integral. We apply a particular case of our formula to an Itzykson-Zuber integral for the coset . This integral naturally appears in the calculation of the two-point correlation function in the transition of the statistics of the Poisson ensemble and the Gaussian orthogonal ensemble in random matrix theory.

  6. A flood-flow formula for Connecticut

    USGS Publications Warehouse

    Bigwood, B.L.; Thomas, M.P.

    1955-01-01

    A study of the frequency and magnitude of floods within the Connecticut area is contained in this report. Annual flood discharges for 44 stream-gaging stations whose records range in length from l0 to 40 years are presented and a regional flood-frequency relationship developed based upon the ratios of all floods to the mean annual flood at each of these locations. Definition of this curve for floods of larger recurrence intervals is based upon historical studies of extraordinary floods which have occurred within the area. For ungaged areas, the mean annual flood value may be determined by use of a flood-flow formula based upon the topographic characteristics of drainage area and basin slope. The development of this formula also is included.

  7. Some inversion formulas for the cone transform

    NASA Astrophysics Data System (ADS)

    Terzioglu, Fatma

    2015-11-01

    Several novel imaging applications have lead recently to a variety of Radon type transforms, where integration is made over a family of conical surfaces. We call them cone transforms (in 2D they are also called V-line or broken ray transforms). Most prominently, they are present in the so called Compton camera imaging that arises in medical diagnostics, astronomy, and lately in homeland security applications. Several specific incarnations of the cone transform have been considered separately. In this paper, we address the most general (and overdetermined) cone transform, obtain integral relations between cone and Radon transforms in {{{R}}}n, and a variety of inversion formulas. In many applications (e.g., in homeland security), the signal to noise ratio is very low. So, if overdetermined data is collected (as in the case of Compton imaging), attempts to reduce the dimensionality might lead to essential elimination of the signal. Thus, our main concentration is on obtaining formulas involving overdetermined data.

  8. Average prime-pair counting formula

    NASA Astrophysics Data System (ADS)

    Korevaar, Jaap; Riele, Herman Te

    2010-04-01

    Taking r>0 , let π_{2r}(x) denote the number of prime pairs (p, p+2r) with p≤ x . The prime-pair conjecture of Hardy and Littlewood (1923) asserts that π_{2r}(x)˜ 2C_{2r} {li}_2(x) with an explicit constant C_{2r}>0 . There seems to be no good conjecture for the remainders ω_{2r}(x)=π_{2r}(x)- 2C_{2r} {li}_2(x) that corresponds to Riemann's formula for π(x)-{li}(x) . However, there is a heuristic approximate formula for averages of the remainders ω_{2r}(x) which is supported by numerical results.

  9. A Generalized Formula to Determine Pythagorean Triples

    ERIC Educational Resources Information Center

    Mohapatra, Amar Kumar; Prakash, Nupur

    2010-01-01

    This note proposes a unique solutions to find out the value of x, y and z which satisfies the equation x[superscript 2] + y[superscript 2] = z[superscript 2]. The uniqueness of the proposed formulae is to find the total number of y's and z's at a given value of x. The value of y and z can be calculated by factoring x[superscript 2] or…

  10. Infant formula, past and future: opportunities for improvement.

    PubMed

    Lo, C W; Kleinman, R E

    1996-04-01

    Infant formulas provide nutritional support to health infants that promotes growth and development equivalent to that in healthy infants fed human milk. Formula-fed infants are not as well protected against infections, and there remain infants whose health, growth, and development may not be supported optimally by either the formulas currently available or human milk. Some infants may be better supported by genetically engineered formulas that contain immunity-enhancing antibodies or antigens. Formulas that contain cytokines promoting epithelial cell growth and integrity may be protective against necrotizing enterocolitis. Formulas containing proteins with genetically excluded allergenic epitopes or formulas with tolerogenic peptides may be useful in treating allergic diseases of suppressing the development of autoimmune disorders later in life. Formulas with genetically engineered biologically active substances might increase the absorption of nutrients in infants with compromised absorption or digestion, enhance host immunity and mucosal integrity, and, potentially militate or protect against the risk of disease. PMID:8599333

  11. 27 CFR 25.58 - New and superseding formulas.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... BUREAU, DEPARTMENT OF THE TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.58 New and... special method of manufacture that requires the filing of a formula; or (6) Change the contribution...

  12. Algorithm 699 - A new representation of Patterson's quadrature formulae

    NASA Technical Reports Server (NTRS)

    Krogh, Fred T.; Van Snyder, W.

    1991-01-01

    A method is presented to reduce the number of coefficients necessary to represent Patterson's quadrature formulae. It also reduces the amount of storage necessary for storing function values, and produces slightly smaller error in evaluating the formulae.

  13. 27 CFR 21.37 - Formula No. 3-C.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-C. 21.37 Section 21.37 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.37 Formula No. 3-C....

  14. 27 CFR 21.33 - Formula No. 2-B.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 2-B. 21.33 Section 21.33 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.33 Formula No. 2-B....

  15. 27 CFR 21.35 - Formula No. 3-A.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-A. 21.35 Section 21.35 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.35 Formula No. 3-A....

  16. 27 CFR 21.33 - Formula No. 2-B.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2013-04-01 2013-04-01 false Formula No. 2-B. 21.33 Section 21.33 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY ALCOHOL FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.33 Formula No. 2-B....

  17. Determination of 50% endpoint titer using a simple formula.

    PubMed

    Ramakrishnan, Muthannan Andavar

    2016-05-12

    Two commonly used methods for calculating 50% endpoint using serial dilutions are Spearman-Karber method and Reed and Muench method. To understand/apply the above formulas, moderate statistical/mathematical skills are necessary. In this paper, a simple formula/method for calculating 50% endpoints has been proposed. The formula yields essentially similar results as those of the Spearman-Karber method. The formula has been rigorously evaluated with several samples. PMID:27175354

  18. Determination of 50% endpoint titer using a simple formula

    PubMed Central

    Ramakrishnan, Muthannan Andavar

    2016-01-01

    Two commonly used methods for calculating 50% endpoint using serial dilutions are Spearman-Karber method and Reed and Muench method. To understand/apply the above formulas, moderate statistical/mathematical skills are necessary. In this paper, a simple formula/method for calculating 50% endpoints has been proposed. The formula yields essentially similar results as those of the Spearman-Karber method. The formula has been rigorously evaluated with several samples. PMID:27175354

  19. Counterexamples on Jumarie's two basic fractional calculus formulae

    NASA Astrophysics Data System (ADS)

    Liu, Cheng-shi

    2015-05-01

    Jumarie proposed a modified Riemann-Liouville derivative definition and gave two basic fractional calculus formulae (u (t) v (t)) (α) =u (α) (t) v (t) + u (t)v (α) (t) and (f (u (t))) (α) = fu‧ u (α) (t) . We give two counterexamples to show that Jumarie's two formulae are not true. Respectively, all results obtained in references by using Jumarie's these two formulae are incorrect. In the end, we give the corresponding formulae.

  20. 27 CFR 21.35 - Formula No. 3-A.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 3-A. 21.35 Section 21.35 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.35 Formula No. 3-A....

  1. 27 CFR 21.33 - Formula No. 2-B.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 2-B. 21.33 Section 21.33 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.33 Formula No. 2-B....

  2. 27 CFR 21.37 - Formula No. 3-C.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 3-C. 21.37 Section 21.37 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.37 Formula No. 3-C....

  3. 7 CFR 761.205 - Computing the formula allocation.

    Code of Federal Regulations, 2011 CFR

    2011-01-01

    ... 7 Agriculture 7 2011-01-01 2011-01-01 false Computing the formula allocation. 761.205 Section 761.205 Agriculture Regulations of the Department of Agriculture (Continued) FARM SERVICE AGENCY... Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula allocation for FO,...

  4. Infant formula increases bone turnover favoring bone formation

    Technology Transfer Automated Retrieval System (TEKTRAN)

    In the first year of life, the major infant food choices have traditionally been breast milk (BM), cow's milk formula (MF), or soy formula (SF). Studies examining the effects of infant formula on early life skeletal development are extremely limited. We have enrolled 120 healthy 6-month-old infants ...

  5. Effects of Neurological Damage on Production of Formulaic Language

    ERIC Educational Resources Information Center

    Sidtis, Diana; Canterucci, Gina; Katsnelson, Dora

    2009-01-01

    Early studies reported preserved formulaic language in left hemisphere damaged subjects and reduced incidence of formulaic expressions in the conversational speech of stroke patients with right hemispheric damage. Clinical observations suggest a possible role also of subcortical nuclei. This study examined formulaic language in the spontaneous…

  6. 24 CFR 990.200 - Determination of formula amount.

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... part) and its formula income (as calculated under subpart D of this part). (b) Use of HUD databases to calculate formula amount. HUD shall utilize its databases to make the formula calculations. HUD's databases... units in HUD's databases. (c) PHA responsibility to submit timely data. PHAs shall submit data used...

  7. 24 CFR 990.200 - Determination of formula amount.

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... part) and its formula income (as calculated under subpart D of this part). (b) Use of HUD databases to calculate formula amount. HUD shall utilize its databases to make the formula calculations. HUD's databases... units in HUD's databases. (c) PHA responsibility to submit timely data. PHAs shall submit data used...

  8. 24 CFR 990.200 - Determination of formula amount.

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... part) and its formula income (as calculated under subpart D of this part). (b) Use of HUD databases to calculate formula amount. HUD shall utilize its databases to make the formula calculations. HUD's databases... units in HUD's databases. (c) PHA responsibility to submit timely data. PHAs shall submit data used...

  9. 24 CFR 990.200 - Determination of formula amount.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... part) and its formula income (as calculated under subpart D of this part). (b) Use of HUD databases to calculate formula amount. HUD shall utilize its databases to make the formula calculations. HUD's databases... units in HUD's databases. (c) PHA responsibility to submit timely data. PHAs shall submit data used...

  10. 27 CFR 21.64 - Formula No. 37.

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2011-04-01 2011-04-01 false Formula No. 37. 21.64 Section 21.64 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... and Authorized Uses § 21.64 Formula No. 37. (a) Formula. To every 100 gallons of alcohol add:...