Results 31 to 40 of about 244,094 (312)
Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$
Karpatsʹkì Matematičnì Publìkacìï, 2016 We introduce block-symmetric polynomials on $(L_\infty)^2$ and prove that every continuous block-symmetric polynomial of degree at most two on $(L_\infty)^2$ can be uniquely represented by some "elementary" block-symmetric polynomials.
T.V. Vasylyshyn
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Complex-valued symmetric radial basis function network for beamforming
, 2009 The complex-valued radial basis function (RBF) network proposed by Chen et al. (1994) has found many applications for processing complex-valued signals, in particular, for communication channel equalization and signal detection.
Sheng Chen, Chen, Sheng
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A categorification of the chromatic symmetric polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Stanley chromatic polynomial of a graph $G$ is a symmetric function generalization of the chromatic polynomial, and has interesting combinatorial properties.
Radmila Sazdanović, Martha Yip
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A New Pseudo-Type κ-Fold Symmetric Bi-Univalent Function Class
Axioms, 2023 We introduce and study a new pseudo-type κ-fold symmetric bi-univalent function class that meets certain subordination conditions in this article. For functions in the newly formed class, the initial coefficient bounds are obtained.
Sondekola Rudra Swamy +1 more
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Symmetric Functions, Noncommutative Symmetric Functions And Quasisymmetric Functions II
Acta Applicandae Mathematicae, 2003 This is part two of this survey; to appear in Acta. Appl. Math. The first part appeared in Acta Appl. Math 75 (2003), 55-93 and is also 'arXived'.
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Universal approximation of symmetric and anti-symmetric functions
Communications in Mathematical Sciences, 2022 We consider universal approximations of symmetric and anti-symmetric functions, which are important for applications in quantum physics, as well as other scientific and engineering computations. We give constructive approximations with explicit bounds on the number of parameters with respect to the dimension and the target accuracy $ε$.
Han, Jiequn +5 more
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Properties of the series solution for Painlevé I [PDF]
, 2013 We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painlevé equation.
Ragnisco, Orlando +3 more
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Karpatsʹkì Matematičnì Publìkacìï, 2021 The work is devoted to the study of Fréchet algebras of symmetric (invariant under the composition of every of components of its argument with any measure preserving bijection of the domain of components of the argument) analytic functions on Cartesian ...
T.V. Vasylyshyn
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On Symmetric Functions and Symmetric Functions of Symmetric Functions
The Annals of Mathematical Statistics, 1931 The study of symmetric functions is quite an old one. From the time of Girard (1629) even up to the present day this sub. ject has occupied the attention of many eminent mathematicians. The theory of the roots of algebraic equations in one or more variables has furnished the chief incentive for the development of the theory of symmetric functions ...
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Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics [PDF]
, 2001 The one-dimensional Schrodinger equation for the potential x(6)+alphax(2)+l (l+1)/x(2) has many interesting properties. For certain values of the parameters I and a the equation is in turn supersymmetric (Witten) and quasi-exactly solvable (Turbiner ...
Dunning, Clare +2 more
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