Results 21 to 30 of about 5,713 (273)
Symmetric Functions Capture General Functions [PDF]
, 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
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Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions [PDF]
Discrete Mathematics, 2008 We introduce analogs of the Hopf algebra of Free quasi-symmetric functions with bases labeled by colored permutations. When the color set is a semigroup, an internal product can be introduced.
J. Novelli, J. Thibon
semanticscholar +1 more source
New fractional approaches for n-polynomial P-convexity with applications in special function theory
Advances in Difference Equations, 2020 Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid possibility to regulate continuous issues ...
Shu-Bo Chen +4 more
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Проблемы анализа, 2016 In 2016 Prof. Fozi M. Dannan from Damascus, Syria, proposed an interesting inequality for three positive numbers with unit product. It became widely known but was not proved yet in spite of elementary formulation.
F. M. Dannan, S. M. Sitnik
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Hochschild cohomology of symmetric groups and generating functions, II
Research in the Mathematical Sciences, 2023 AbstractWe relate the generating functions of the dimensions of the Hochschild cohomology in any fixed degree of the symmetric groups with those of blocks of the symmetric groups. We show that the first Hochschild cohomology of a positive defect block of a symmetric group is nonzero, answering in the affirmative a question of the third author.
David Benson +2 more
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Predecessor and Permutation Existence Problems for Sequential Dynamical Systems. [PDF]
Discrete 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
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Discrete Integrals Based on Comonotonic Modularity
Axioms, 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
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A generic construction of rotation symmetric bent functions
Advances in Mathematics of Communications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junchao Zhou +3 more
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THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS
Acta 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
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A Quasisymmetric Function Generalization of the Chromatic Symmetric Function [PDF]
The 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.
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