Results 261 to 270 of about 2,011,966 (289)

The Boundedness of Connection Coefficients and their Derivatives

Mathematische Nachrichten, 1991
Let M be a complete open Riemannian manifold. Kaul has proved the boundedness of the Christoffel symbols \(\Gamma^{\alpha,h}_{ij}\) relative to an atlas \({\mathfrak U}=\{(U_ \alpha,\varphi_ \alpha)\}_ \alpha\) of normal charts if the curvature tensor \(R\) and its first derivative \(\nabla R\) are bounded on \(M\).
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Connection Coefficients Between Boas–Buck Polynomial Sets

Journal of Mathematical Analysis and Applications, 2006
Considering polynomial sets with complex coefficients \[ \{P_n\}_{n\geq 0}\;\text{ with deg}\,P_n=n, \] the authors study the problem of determining the solution to the Connection problem: given two polynomial sets \(\{P_n\}_{n\geq 0},\;\{Q_n\}_{n\geq 0}\), find the coefficients in \(Q_n(x)=\sum_{m=0}^n\, c_m(n)P_m(x)\).
Y Ben Cheikh
exaly   +2 more sources

Molecular Connectivity III: Relationship to Partition Coefficients

Journal of Pharmaceutical Sciences, 1975
The molecular connectivity index is shown to be linearly related to the octanol-water partition coefficients of a variety of monofunctional chemical classes including esters, alcohol, ketones, ethers, carboxylic acids, amines, and hydrocarbons. A modification of the connectivity index, taking into account the valency or degree of unsaturation of an ...
W J, Murray, L H, Hall, L B, Kier
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Wavelet Calculus and Connection Coefficients

1998
As we have seen in the previous chapters, one can use a wavelet series to represent a function of one or more variables which can be either an infinite series at the theoretical level or an approximating finite series in an applications context. The role of calculus, computing derivatives and solving differential equations, is an extremely important ...
Howard L. Resnikoff, Raymond O. Wells
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Connection between diffusivity and activity coefficient

Steel Research, 1995
On the basis of linear nonequilibrium thermodynamics, the connection between diffusivity and activity interaction coefficients in melts was delineated and this relation can be expressed as the following mathematic formula: ...
Zhongting Ma, Ruiming Ni
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Connection coefficients, orthogonal polynomials and the WZ-algorithms

Numerical Algorithms, 1999
In this paper the relationship between the coefficients of the expansion of a function \(f(x)\) and the function \((1-x)^mf(z)\), \(m\) a positive integer, into series of orthogonal polynomials is investigated. In particular the Jacobi and the Gegenbauer polynomials are considered.
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A connection between the partial correlation coefficient and the correlation coefficient of certain residuals

Communications in Statistics - Simulation and Computation, 1983
(1983). A connection between the partial correlation coefficient and the correlation coefficient of certain residuals. Communications in Statistics - Simulation and Computation: Vol. 12, No. 5, pp. 639-641.
Kanto Antti, Simo Puntanen
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Geodesic Equations and Connection Coefficients

Abstract Geodesics are the paths that particles fall along in spacetime. In Chapter 9 we show that the connection coefficients may be extracted using a simple routine based on extremizing the action. The metric therefore leads directly to the connection coefficients.
Tom Lancaster, Stephen J. Blundell
exaly   +2 more sources

On the Connection of Two GINI Coefficients

There are two competing GINI coefficient definitions currently in use in practice. One is GINI coefficient for statistical dispersion, the other is GINI coefficient of a classifier. This paper establishes a simple relationship between them for the case when the ratio of events to non-events is known.
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Recurrence coefficients for orthogonal polynomials on connected and non-connected sets

1979
General methods for relating the asymptotic behaviour of the recurrence coefficients of orthogonal polynomials and properties of the corresponding weight functions are described and discussed. The cases of a function with algebraic singularities on a single bounded interval and a function positive on a finite set of bounded intervals are studied ...
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