Results 321 to 330 of about 12,508,597 (366)

Symmetric Polynomials and Symmetric Functions

1995
In Chapter 17 of [371] we have studied symmetric polynomials called zonal polynomials. In this chapter we consider other types of symmetric polynomials as well as their generalizations called symmetric functions (symmetric “polynomials” of an infinite number of indeterminates).
N. Ja. Vilenkin, A. U. Klimyk
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Symmetric Ternary Switching Functions

IEEE Transactions on Electronic Computers, 1966
This paper develops a theory of symmetric ternary switching functions and presents systematic methods for their detection, identification and synthesis. Shannon's theory of binary symmetric functions is extended to ternary functions by defining a set of five ``priming'' operations which, together with the ``permutation'' operations, form a group ...
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On Complete Symmetric Functions

SIAM Journal on Mathematical Analysis, 1988
This paper is devoted to the study of properties of complete symmetric functions playing an important role in the theory of partitions and in combinatorics. Especially the representation and recursive formulas and inequalities involving functions in question are given. The theory is accompanied by some applications.
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On MacDonald's Symmetric Functions

Bulletin of the London Mathematical Society, 1992
An algorithm for computing Macdonald's two-parameter symmetric functions is suggested. A transition matrix from the basis of power sums to the basis of Macdonald's functions is constructed recursively (with respect to the dominance partial order on partitions) by a method analogous to Shoji's method of computing the Green functions of \(\text{GL}(n,q)\)
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α-Chromatic Symmetric Functions

International Mathematics Research Notices
Abstract In this paper, we introduce the $\alpha $-chromatic symmetric functions  $\chi ^{(\alpha )}_\pi [X;q]$, extending Shareshian and Wachs’ chromatic symmetric functions with an additional real parameter $\alpha $. We present positive combinatorial formulas with explicit interpretations.
Haglund, Jim, Oh, Jaeseong, Yoo, Meesue
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Decomposable Skew-Symmetric Functions

Moscow Mathematical Journal, 2003
Summary: A skew-symmetric function \(F\) in several variables is said to be decomposable if it can be represented as a determinant det\((f_i(x_j))\) where \(f_i\) are univariate functions. We give a criterion of the decomposability in terms of a Plücker-type identity imposed on the function \(F\).
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Bernoulli numbers and symmetric functions

RACSAM, 2019
M. Merca
semanticscholar   +1 more source

The role of m6A modification in the biological functions and diseases

Signal Transduction and Targeted Therapy, 2021
Baiyang Liu, Cui-Ping Yang
exaly  

Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
exaly  

The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
exaly