Results 31 to 40 of about 23,188 (258)
Noncommutative symmetric functions with matrix parameters [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We define new families of noncommutative symmetric functions and quasi-symmetric functions depending on two matrices of parameters, and more generally on parameters associated with paths in a binary tree. Appropriate specializations of both matrices then
Alain Lascoux +2 more
doaj +1 more source
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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The equivalence of two graph polynomials and a symmetric function
, 2009 The U-polynomial, the polychromate and the symmetric function generalization of the Tutte polynomial due to Stanley are known to be equivalent in the sense that the coefficients of any one of them can be obtained as a function of the coefficients of any ...
Noble, SD +5 more
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Minimal and maximal constituents of twisted Foulkes characters [PDF]
, 2014 We prove combinatorial rules that give the minimal and maximal partitions labelling the irreducible constituents of a family of characters for the symmetric group that generalize Foulkes permutation characters.
Mark Wildon +4 more
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, 2019 This PhD project is concerned with the development of compact local stencils based on integrated radial basis functions (IRBFs) for both spatial and temporal discretisations of partial differential equations (PDEs), and their applications in heat ...
Le, Thi Thuy Van
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Correlation immunity and resiliency of symmetric Boolean functions
, 2004 Correlation immunity of symmetric Boolean functions is studied in this paper. Lower bounds on the number of constructible correlation immune symmetric functions are given. Constructions for such new balanced functions are presented.
Wu, Chuan +3 more
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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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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Generalized rotation symmetric and dihedral symmetric boolean functions - 9 variable boolean functions with nonlinearity 242 [PDF]
, 2007 Recently, 9-variable Boolean functions having nonlinearity 241, which is strictly greater than the bent concatenation bound of 240, have been discovered in the class of Rotation Symmetric Boolean Functions (RSBFs) by Kavut, Maitra and Yucel.
Yucel, Melek Diker +3 more
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