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Methods of Functional Separation of Variables

2021
Andrei D. Polyanin, Alexei I. Zhurov
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Method of interpolation of a class of functions of several variables

USSR Computational Mathematics and Mathematical Physics, 1982
An interpolation method applicable to a wide class of continuous functions of several variables is described. Instead of computing with difficulty function values many times an auxiliary table is constructed from which knots and corresponding values can be calculated by linear interpolation, thus serving computing time.
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Variable metric methods for a class of extended conic functions

Kybernetika, 1985
The paper contains a description and an analysis of two variable metric algorithms for unconstrained minimization which find a minimum of an extended conic function after a finite number of steps provided it is possible to compute the derivatives of the model function at an arbitrary point \(x\in R_ n\).
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Construction of biopolymer-based nanoencapsulation of functional food ingredients using the pH-driven method: a review

Critical Reviews in Food Science and Nutrition, 2023
Yongkai Yuan, Ying Xu, Dongfeng Wang
exaly  

Using N-K Model to quantitatively calculate the variability in Functional Resonance Analysis Method

Reliability Engineering and System Safety, 2022
Wencheng Huang, Dezhi Yin
exaly  

Generating functional method for spin variables

Theoretical and Mathematical Physics, 1973
S. V. Peletminskii, A. A. Yatsenko
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Radial basis function methods for interpolation to functions of many variables

Summary: A review of interpolation to values of a function \(f(x)\), \(x\in{\mathcal R}^d\), by radial basis function methods is given. It addresses the nonsingularity of the interpolation equations, the inclusion of polynomial terms, and the accuracy of the approximation \(s\approx f\), where \(s\) is the interpolant.
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Complex variable function method for elasticity of quasicrystals

2011
In Chapters 7∼9 we frequently used the complex variable function method to solve problems of elasticity of quasicrystals, and many exact analytic solutions were obtained by the method. In those chapters we only provided the results, and the underlying principle and details of the method could not be discussed.
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The Methods of the Theory of Functions of Several Complex Variables

1991
It is more difficult to construct holomorphic and meromorphic functions of several complex variables than those of one variable. Up to today they occur only as modular functions or Feynmanintegrals or functions with group symmetries if they depend properly on more than one variable. In general, the detailed analysis of such functions is very difficult.
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