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Symmetric Polynomials and Symmetric Functions
1995In 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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Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions
2000In this paper, we investigate various kinds of generalisations of symmetric functions. The classical algebra Sym of symmetric functions is embedded in QSym, the algebra of quasi-symmetric functions, and is also a quotient of the algebra Sym of noncommutative symmetric functions.
Duchamp, G. +2 more
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Symmetric Ternary Switching Functions
IEEE Transactions on Electronic Computers, 1966This 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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Generalized symmetric and generalized pseudo-symmetric functions
ICECS'99. Proceedings of ICECS '99. 6th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.99EX357), 2003We introduce generalized symmetric and generalized pseudo-symmetric functions which can be represented as regular two-dimensional linear arrays. It is possible due in part to generalized symmetries, which can be used when functions are represented using exor-based decompositions. We also identify and use local symmetries.
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On Elementary Symmetric Functions
Journal of the London Mathematical Society, 1956Krishnaiah, P. V., Subrahmanyam, N. V.
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Modular relations of the Tutte symmetric function
Journal of Combinatorial Theory - Series A, 2022Sophie Spirkl, Logan Crew
exaly
On symmetric functions ofm symmetric functions in a Boolean Algebra
Proceedings of the Indian Academy of Sciences - Section A, 1939openaire +2 more sources
A note on distinguishing trees with the chromatic symmetric function
Discrete Mathematics, 2022Logan Crew
exaly
The Generating Function of Symmetrical Functions
Journal of the London Mathematical Society, 1935openaire +2 more sources
On Certain Symmetric Functions
Proceedings of the London Mathematical Society, 1961openaire +2 more sources

