Results 11 to 20 of about 2,480 (276)

Predecessor and Permutation Existence Problems for Sequential Dynamical Systems. [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2003
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
doaj   +1 more source

Affine transitions for involution Stanley symmetric functions

open access: yes, 2022
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
core   +1 more source

Discrete Integrals Based on Comonotonic Modularity

open access: yesAxioms, 2013
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
doaj   +1 more source

Symmetric Functions Capture General Functions [PDF]

open access: yes, 2011
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
openaire   +1 more source

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

open access: yes, 2011
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
core   +1 more source

THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS

open access: yesActa Polytechnica, 2016
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
doaj   +1 more source

A Quasisymmetric Function Generalization of the Chromatic Symmetric Function [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2011
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.
openaire   +3 more sources

Noncommutative Symmetric Functions and Lagrange Inversion II: Noncrossing partititions and the Farahat-Higman algebra

open access: yes, 2022
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
core   +1 more source

Hypersymmetric functions and Pochhammers of 2×2 nonautonomous matrices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
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
doaj   +1 more source

Generalized Bernstein Polynomials and Symmetric Functions

open access: yesAdvances in Applied Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert P. Boyer, Linda C. Thiel
openaire   +2 more sources

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