## Citations with the tag: MATHEMATICAL constants

### Results 1 - 50

• World Constants and Limiting Transition.
Gamow, G.; Ivanenko, D.; Landau, L. // Physics of Atomic Nuclei; Jul2002, Vol. 65 Issue 7, p1373

Discusses the methods for choosing units of any new quantity in constructing a system of units in physics. Specificiation of an arbitrary standard of measure; Employment of some law that relates the quantity in question to those that are known and which involves a numerical coefficient.

• On the Article of G. Gamow, D. Ivanenko, and L. Landau �World Constants and Limiting Transition�.
Okun, L. B. // Physics of Atomic Nuclei; Jul2002, Vol. 65 Issue 7, p1370

This brief preface explains why the editorial board of the journal Yadernaya Fizika (Physics of Atomic Nuclei) decided to reprint the article of the three authors, which was published in 1928 and which is hardly accessible to the present-day reader; tells briefly the history of its creation; and...

• Serendipit-e.
Knox, John // National Forum; Fall98, Vol. 78 Issue 4, p9

Describes how the author collaborated with an inventor, who also never had any formal training in the area of numbers theory, to produce a formula for the constant e. Unique properties of the constant e; Comments of experts who had reviewed the formula established by the author and the inventor.

• Untitled.
Knox, John // New Yorker; 5/12/1980, Vol. 56 Issue 12, p133

An excerpt from the article about the Hubble Constant that was published in the "New York Law Journal" is presented.

• PARTIAL INFORMATION, DOMINANCE, AND POTENTIAL OPTIMALITY IN MULTIATTRIBUTE UTILITY THEORY.
Hazen, Gordon B. // Operations Research; Mar/Apr86, Vol. 34 Issue 2, p296

When a multiattribute utility function is only partially specified by prior preference statements, what can be said about the relative desirability of actual alternatives? This question is addressed for the cases of additively separable cardinal utility with unknown scaling constants;...

• COMMENTS ON "ON NORMALIZING CONSTRAINTS IN QUEUEING NETWORKS" BY P.G. HARRISON.
Hazen, Gordon B. // Operations Research; Mar/Apr86, Vol. 34 Issue 2, p330

Comments on the article `On Normalizing Constants in Queuing Networks,' by P. G. Harrison, which stated that no closed form expression has been derived for normalizing constants of closed form queuing networks.

• CODATA recommended values of the fundamental constants.
Mohr, Peter J.; Taylor, Barry N. // AIP Conference Proceedings; 2000, Vol. 543 Issue 1, p3

A review is given of the latest Committee on Data for Science and Technology (CODATA) adjustment of the values of the fundamental constants. The new set of constants, referred to as the 1998 values, replaces the values recommended for international use by CODATA in 1986. The values of the...

• THE ESTIMATION OF CONSTANT ELASTICITIES: REPLY.
Mohr, Peter J.; Taylor, Barry N. // Southern Economic Journal; Jan73, Vol. 39 Issue 3, p445

Justifies a criticism on the estimation of constant elasticities. Assumptions in the error terms of the equation; Model specification on the elasticity estimation; Forms of loglinear models.

• Corrigendum.
Mohr, Peter J.; Taylor, Barry N. // Journals of Gerontology Series A: Biological Sciences & Medical ; Oct2011, Vol. 66A Issue 10, p1080

A correction to an article by Chen Hou, Kendra Bolt, and Aviv Bergman that appeared in the June 2011 issue is presented.

• Concentration dependence of the diffusion controlled steady-state rate constant.
Gopich, I. V.; Berezhkovskii, A. M.; Szabo, Attila // Journal of Chemical Physics; 8/8/2002, Vol. 117 Issue 6, p2987

Discusses the concentration dependence of the diffusion controlled steady-state rate constant. Absorption of diffusing particles by randomly distributed static spherical traps or sinks; System of randomly distributed spherical traps that can overlap; Survival probability of a diffusing particle.

• Note on Kantowski-Sachs universes.
Dabrowski, Mariusz P. // Journal of Mathematical Physics; Jun95, Vol. 36 Issue 6, p2985

Comments that the conformal time parameter for closed dust-filled models cannot be taken as growing to infinity in subsequent cycles of evolution regardless the values of the integration constants. Derivation of the field equations; Maximum value of the scale factor.

• Evaluation of cylinder-impact test data for constitutive model constants.
Johnson, Gordon R.; Holmquist, Tim J. // Journal of Applied Physics; 10/15/1988, Vol. 64 Issue 8, p3901

Presents a study that examined the usefulness of cylinder-impact test data to determine constants for various computational constitutive models. Background on the study; Determination of constants from cylinder-impact test data; Conclusions.

• Constant Minkowskian width in terms of double normals.
Averkov, Gennadi // Journal of Geometry; 2003, Vol. 77 Issue 1/2, p1

Extends the notion of a double normal of a convex body from smooth, strictly convex Minkowski planes to arbitrary two-dimensional real, normed linear spaces in two different ways. Techniques for obtaining characterization theorem; Euclidean version of the theorem that yields a new...

• Elastic constants and their admissible values for incompressible and slightly compressible anisotropic materials.
Itskov, M.; Aksel, N. // Acta Mechanica; 2002, Vol. 157 Issue 1-4, p81

Constitutive relations for incompressible (slightly compressible) anisotropic materials cannot (could hardly) be obtained through the inversion of the generalized Hooke's law since the corresponding compliance tensor becomes singular (ill-conditioned) in this case. This is due to the fact that...

• Erratum to: Spectral Gap and Logarithmic Sobolev Constant for Continuous Spin Systems.
Mu Fa Chen // Acta Mathematica Sinica; Dec2009, Vol. 25 Issue 12, p2201

A correction to the article "Spectral Gap and Logarithmic Sobolev Constant for Continuous Spin Systems" that was published in a previous issue of the journal is presented.

• The symmetric and antisymmetric structure constants for SU(6).
Sarid, Uri // Journal of Mathematical Physics; Aug85, Vol. 26 Issue 8, p1921

The 124 completely antisymmetric fijk and 221 completely symmetric dijk (nonzero) structure constants for a simple representation of SU(6) are tabulated. The basis matrices ?i used to generate the structure constants are also given.

• A Technique For Forming Long Time-Constants.
Bennett, Raymond N. // Electronic Design; 06/26/2000, Vol. 48 Issue 13, p148

Describes an electronic design process for establishing mathematical constants. Calculation of the Resistor R1 and capacitor C1 values; Application of a linear discharge.

• Analysis of double exponential fluorescence decay behavior of optical temperature sensing.
Sun, T.; Zhang, Z.Y.; Grattan, K.T.V.; Palmer, A.W. // Review of Scientific Instruments; Jan1997, Vol. 68 Issue 1, p58

Proposes algorithms based on Prony's method for the estimation of exponential time constants of a double exponential fluorescence-decay process. Theory; Prony's estimation of double exponential decay lifetimes; Simulation results; Application in a quasidistributed sensor system.

• Is G a Conversion Factor or a Fundamental Unit?
Fiorentini, G.; Okun, L. B.; Vysotskii, M. // JETP Letters; 10/25/2002, Vol. 76 Issue 8, p485

By using fundamental units c,h,G as conversion factors, one can easily transform the dimensions of all observables. In particular, one can make them all �geometrical,� or dimensionless. However, this has no impact on the fact that there are three fundamental units, G being one of them. Only...

• Weighted Lebesgue Constants: Research Problems 2000-1.
Lubinsky, D. S.; Szabados, J. // Constructive Approximation; Jan2000, Vol. 16 Issue 1, p157

No abstract.

• Optimal determination of the elastic constants of composite materials from ultrasonic wave-speed measurements.
Castagn�de, Bernard; Jenkins, James T.; Sachse, Wolfgang; Baste, St�phane // Journal of Applied Physics; 3/15/1990, Vol. 67 Issue 6, p2753

Presents a study that described a method to optimally determine the elastic constants of anisotropic solids from wave-speeds measurements in arbitrary nonprincipal planes. Technique used to determine the elastic constants for small single crystals; Method of calculating the elastic constants of...

• Measurements of the size of the secondary flow regions generated by a torsionally oscillating disk in a linearly stratified fluid.
Folse, R. F.; Rodrigue, D. A.; Courtney, D. L. // Physics of Fluids (00319171); Mar86, Vol. 29 Issue 3, p667

Measurements have been made of the size of the region of secondary flow in a linearly stratified fluid, with Brunt�V�is�l� frequencies in the range of 0.65�3.23 rad/sec, caused by a rotationally oscillating shearing stress. The stress was generated by the surfaces of a disk of radius...

• editorial.
Falle, Judith // Australian Mathematics Teacher; Mar2009, Vol. 65 Issue 1, p2

An introduction to the journal is presented in which the editor discusses an article on the importance of mathematics which enables a person to gain knowledge of his existence in the world, and the functions of mathematical contants.

• Superintegrable systems on the two-dimensional sphere S[sup 2] and the hyperbolic plane H[sup 2].
Ranada, Manuel F.; Santander, Mariano // Journal of Mathematical Physics; Oct99, Vol. 40 Issue 10, p5026

Studies superintegrable systems with n=2 degrees of freedom possessing independent globally defined constants of motion which are quadratic in velocities. Different superintegrable potentials obtained as solutions of certain systems; Correspondence between superintegrable systems in spaces of...

• Kolmogorov�s constant and local interactions.
Kraichnan, Robert H. // Physics of Fluids (00319171); Jun87, Vol. 30 Issue 6, p1583

Suppose that all the wave-vector triad interactions that involve no wavenumber ratio that exceeds � are removed from the Navier�Stokes equation. Within a class of closures, the paradoxical effect is to enhance energy cascade through the Kolmogorov inertial range for 1<�<�c, where �c...

• MAKING SENSE OF ALGEBRA.
Swan, Malcolm // Mathematics Teaching; Jun2000, Issue 171, p16

Suggests different lesson designs in teaching algebra to allow the students to construct and reflect on meanings for expressions and equations. Concepts on mathematical representations; Representations for algebraic expressions; Operations on generating equations.

• Self-attracting diffusions: Case of the constant interaction.
Raimond, Olivier // Probability Theory & Related Fields; 1997, Vol. 107 Issue 2, p177

Summary.In this paper we study a self-attracting diffusion in the case of a constant self-attraction and for dimension larger than two. We prove that this process converges almost surely.

• Upper Bounds for |L(1, ?)|.
GRANVILLE, ANDREW; SOUNDARARAJAN, K. // Quarterly Journal of Mathematics; Sep2002, Vol. 53 Issue 3, p265

The article discusses the sharpening of the upper bounds known for |L(1,x)|. It aims to determine constants c for which the bound |L(1,x)| = (c + o(1)) log q holds. The corollary was established by focusing on multiplicative functions that satisfy a Burgess-type condition. Theorems related to...

• Estimate of the H�lder constant for solutions to m-Hessian equations.
Ivochkina, N. M.; Filimonenkova, N. V. // Journal of Mathematical Sciences; May2009, Vol. 159 Issue 1, p67

An a priori estimate for the H�lder constant with exponent 0 < a < 1 is obtained for smooth solutions to m-Hessian equations in a closed domain with ( m - 1)-convex boundary of class C2. The H�lder constant depends on the L p-norm, p > [ n( n + 1)] /2, of the right-hand side of the equation,...

• Effects of reagent rotation on the dynamics of the H2+OH reaction: A full dimension quantum....
Zhang, Dong H.; Lee, Soo-Y. // Journal of Chemical Physics; 8/15/1998, Vol. 109 Issue 7, p2708

Examines the effects of rotational excitation of reagents on the dynamics of the H2+OH reaction. Purpose of the extension of time-dependent wave packet method; Ways to obtain the thermal rate constant; Theoretical methodology of the initial state selected wave packet approach to diatom-diatom...

• The (1)1...g state of 39K2 revisited.
Russier, I.; Aubert-Frecon, M. // Journal of Chemical Physics; 8/15/1998, Vol. 109 Issue 7, p2717

Reexamines the (1)1 osmotic pressure g state of 39Ksub 2. Construction of a rotationless Rydberg-Klein-Rees (RKR) potential curve; Calculation of vibrational and rotational constants from RKR potential curve; Parameters describing the Coulombic interactions between K(4s)+K(4p) atoms.

• THE ESTIMATION OF CONSTANT ELASTICITIES: COMMENT.
Quandt, Richard E. // Southern Economic Journal; Jan73, Vol. 39 Issue 3, p444

Comments on the estimation of constant elasticity coefficients. Flaws in sampling experiments; Assumptions on the statistic models; Validity of the interpretation.

• Symmetries and degeneracies of a charged oscillator in the field of a magnetic monopole.
Labelle, Simon; Mayrand, Michel; Vinet, Luc // Journal of Mathematical Physics; Jun91, Vol. 32 Issue 6, p1516

The constants of motion responsible for the level degeneracy of a charged, spin 0 particle subjected to harmonic and centrifugal forces and to the field of a magnetic monopole are obtained. Operators closing onto the SU(2)+SU(2) algebra are constructed in terms of these conserved quantities. The...

• Relations between universal scaling constants for the circle map near the golden mean.
Delbourgo, R.; Kenny, Brian G. // Journal of Mathematical Physics; Apr91, Vol. 32 Issue 4, p1045

The two-frequency quasiperiodic route to chaos is believed to be modeled by the critical circle map and the universal behavior of the scaling constants a and d is determined by the order z of the inflection point. We have numerically determined a(z) and d(z) as a function of this order. Using...

• The harmonic mean curvature flow of nonconvex surfaces in $${\mathbb{R}^3}$$.
Daskalopoulos, Panagiota; Sesum, Natasa // Calculus of Variations & Partial Differential Equations; Jan2010, Vol. 37 Issue 1/2, p187

We consider a compact star-shaped mean convex hypersurface $${\Sigma^2\subset \mathbb{R}^3}$$. We prove that in some cases the flow exists until it shrinks to a point. We also prove that in the case of a surface of revolution which is star-shaped and mean convex, a smooth solution always exists...

• Landau constant of plane Poiseuille flow near the neutral state.
Fujimura, Kaoru // Physics of Fluids (00319171); Apr87, Vol. 30 Issue 4, p1216

By mounting a delta-wing-like passive device on the front part of the junction between a vertical bluff body cylinder and the flat ground, the horseshoe vortex flow structure has been modified significantly. Model test results of a flow visualization study are described to show these changes.

• Symbolic routes to BBP-type formulas of any degree in arbitrary bases.
Adegoke, Kunle // Applied Mathematics & Information Sciences; 2011, Vol. 5 Issue 2, p264

Digit extraction (BBP-Type) formulas are usually discovered through computer searches. In this paper we present two alternative approaches which lead directly to the discovery of digit extraction formulas and thus remove the burden of finding the formulas first and finding the proofs later. We...

• Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes.
Friedhelm Schieweck // ESAIM: Mathematical Modelling & Numerical Analysis; May2008, Vol. 42 Issue 3, p493

We consider a family of quadrilateral or hexahedral mixed hp-finite elements for an incompressible flow problem with Qr-elements for the velocity and discontinuous Pr-1-elements for the pressure where the order r can vary from element to element between 2 and an arbitrary bound. For multilevel...

• Equilibrium-constant expressions for aqueous plutonium.
Silver, G. L. // Journal of Radioanalytical & Nuclear Chemistry; Apr2010, Vol. 284 Issue 1, p175

Equilibrium-constant expressions for Pu disproportionation reactions traditionally contain three or four terms representing the concentrations or fractions of the oxidation states. The expressions can be rewritten so that one of the oxidation states is replaced by a term containing the oxidation...

• Reduced constants for simple cycle graph separation.
Djidjev, Hristo N.; Venkatesan, Shankar M. // Acta Informatica; 1997, Vol. 34 Issue 3, p231

If G is an n vertex maximal planar graph and d=1 3, then the vertex set of G can be partitioned into three sets A, B, C such that neither A nor B contains more than (1-d)n vertices, no edge from G connects a vertex in A to a vertex in B, and C is a cycle in G containing no more than...

• A Moderate Deviation Principle for m -Dependent Random Variables with Unbounded m.
Yu Miao; Guangyu Yang // Acta Applicandae Mathematica; Nov2008, Vol. 104 Issue 2, p191

Abstract��In this paper, a theorem on the moderate deviation principle for random arrays under m-dependence with unbounded m is established. This partially extends the results of Chen (Stat. Probab. Lett. 35:123�134, 1997). As an application, the moderate deviation principle for the...

• Quasi-Lie schemes and Emden�Fowler equations.
Cari�ena, Jos� F.; Leach, P. G. L.; de Lucas, Javier // Journal of Mathematical Physics; Oct2009, Vol. 50 Issue 10, p103515

The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalizations is given. As a first result we obtain t-dependent constants of the motion for particular instances of Emden...

• Closed polynomials and saturated subalgebras of polynomial algebras.
Arzhantsev, I. V.; Petravchuk, A. P. // Ukrainian Mathematical Journal; Dec2007, Vol. 59 Issue 12, p1783

The behavior of closed polynomials, i.e., polynomials $$f \in \Bbbk [x_1 , \ldots ,x_n ]\backslash \Bbbk$$ such that the subalgebra $$\Bbbk [f]$$ is integrally closed in $$\Bbbk [x_1 , \ldots ,x_n ]$$ , is studied under extensions of the ground field. Using some properties of closed...

• Estimation of the norm of the derivative of a monotone rational function in the spaces L p.
Vyazovs'ka, M. S. // Ukrainian Mathematical Journal; Dec2009, Vol. 61 Issue 12, p2008

We show that the derivative of an arbitrary rational function R of degree n that increases on the segment [-1, 1] satisfies the following equality for all 0 < e < 1 and p, q > 1:where the constant C depends only on p and q. The degree of a rational function R( x) = P( x)/ Q( x) is understood as...

• Line Transversals to Disjoint Balls.
Ciprian Borcea; Xavier Goaoc; Sylvain Petitjean // Discrete & Computational Geometry; Mar2008, Vol. 39 Issue 1-3, p158

Abstract   We prove that the set of directions of lines intersecting three disjoint balls in �?�3 in a given order is a strictly convex subset of . We then generalize this result to n disjoint balls in �?� d . As a consequence, we can improve upon several old and new results on line...

• Needles cook up pi.
Ciprian Borcea; Xavier Goaoc; Sylvain Petitjean // New Scientist; 3/16/2013, Vol. 217 Issue 2908, p4

The article discusses the Pi Day Live online mathematical crowdsourcing event to be held March 14, 2013 by researcher Marcus du Sautoy in which participants will calculate the mathematical constant pi using the Buffon's needle method of dropping a needle onto lined paper.

• space constant.
Ciprian Borcea; Xavier Goaoc; Sylvain Petitjean // Hutchinson Dictionary of Scientific Biography; 2005, p1

In mathematics, characterizing the line in non-Euclidean geometry that relates the angle of parallelism of two lines—a concept formulated by Hungarian mathematician János Bolyai.

• Three Robust Scale Estimators to Judge Unreplicated Experiments.
Schoen, Eric D.; Kaul, Enrico A. A. // Journal of Quality Technology; Jul2000, Vol. 32 Issue 3, p276

Features a study which presented constants used to calculate estimators and critical values to test standardized single degree of freedom contrasts. Definition of estimators; Information on the consistency constants; Conclusion.

• Mathematical Constants (Book).
Wimp, Jet // Mathematical Intelligencer; Spring2004, Vol. 26 Issue 2, p70

Reviews the book "Mathematical Constants," by Steven R. Finch.

• On a new application of power increasing sequences.
Bor, H�seyin // Proceedings of the Estonian Academy of Sciences; 2008, Vol. 57 Issue 4, p205

A general theorem dealing with | C,a,� |k summability factors has been proved under weaker conditions.

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