Results 11 to 20 of about 2,480 (276)
Predecessor and Permutation Existence Problems for Sequential Dynamical Systems. [PDF]
A class of finite discrete dynamical systems, called Sequential Dynamical Systems (SDSs), was introduced in [BR99] as a formal model for analyzing simulation systems.
Christopher L. Barrett +5 more
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Affine transitions for involution Stanley symmetric functions
We study a family of symmetric functions Fˆz indexed by involutions z in the affine symmetric group. These power series are analogues of Lam's affine Stanley symmetric functions and generalizations of the involution Stanley symmetric functions introduced
Zhang, Yifeng, Marberg, Eric
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Discrete Integrals Based on Comonotonic Modularity
It is known that several discrete integrals, including the Choquet and Sugeno integrals, as well as some of their generalizations, are comonotonically modular functions.
Jean-Luc Marichal, Miguel Couceiro
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Symmetric Functions Capture General Functions [PDF]
We show that the set of all functions is equivalent to the set of all symmetric functions (possibly over a larger domain) up to deterministic time complexity. In particular, for any function f, there is an equivalent symmetric function fsym such that f can be computed from fsym and vice-versa (modulo an extra deterministic linear time computation). For
Richard J. Lipton +2 more
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
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THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS
The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail ...
Agata Bezubik, Severin Pošta
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A Quasisymmetric Function Generalization of the Chromatic Symmetric Function [PDF]
The chromatic symmetric function $X_G$ of a graph $G$ was introduced by Stanley. In this paper we introduce a quasisymmetric generalization $X^k_G$ called the $k$-chromatic quasisymmetric function of $G$ and show that it is positive in the fundamental basis for the quasisymmetric functions.
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35 pagesWe introduce a new pair of mutually dual bases of noncommutative symmetric functions and quasi-symmetric functions, and use it to derive generalizations of several results on the reduced incidence algebra of the lattice of noncrossing partitions.
Thibon, Jean-Yves +1 more
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Hypersymmetric functions and Pochhammers of 2×2 nonautonomous matrices
We introduce the hypersymmetric functions of 2×2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices.
A. F. Antippa
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Generalized Bernstein Polynomials and Symmetric Functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert P. Boyer, Linda C. Thiel
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