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Inhomogeneous broadening in the time domain: Gauss-Lorentz, Gauss-Drude and Gauss-Debye material models. [PDF]

Nanophotonics
Prokopeva LJ, Kildishev AV.
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Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions

2000
In 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.
Florent Hivert, Jean-Yves Thibon, Thibon Jean-Yves   +2 more
exaly   +4 more sources

Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent

Applicable Algebra in Engineering, Communications and Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luis Medina, Pantelimon Stănică, Francis N Castro   +2 more
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Lambek Functional Representation of Generalized Symmetric Semirings

Russian Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vechtomov, E. M., Chermnykh, V. V.
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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), 2003
We 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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Chromatic Symmetric Functions of Conjoined Graphs

Frontiers of Mathematics
We introduce path-conjoined graphs defined for two rooted graphs by joining their roots with a path, and investigate the chromatic symmetric functions of its two generalizations: spider-conjoined graphs and chain-conjoined graphs.

semanticscholar   +1 more source

Inequalities for Generalized Symmetric Functions

Canadian Mathematical Bulletin, 1969
The generating series for the elementary symmetric function Er, the complete symmetric function Hr, are defined byrespectively.
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Symmetric Functions, Noncommutative Symmetric Functions, and Quasisymmetric Functions

, 2004
This paper is concerned with two generalizations of the Hopf algebra of symmetric functions that have more or less recently appeared. The Hopf algebra of noncommutative symmetric functions and its dual, the Hopf algebra of quasisymmetric functions.
M. Hazewinkel
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Flows generated by symmetric functions of the Eigenvalues of the Hessian

Journal of Mathematical Sciences, 1997
See the review in Zbl 0888.35056.
Ivochkina, N. M., Ladyzhenskaya, O. A.
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Generating minimal covers of symmetric functions

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1993
An algorithm is offered for generating minimum-cost, two-level expressions for totally symmetric, complete switching functions. The algorithms discussed were programmed in TurboPascal (and TurboC) and executed on an IBM PS/2-80. Many symmetric switching functions of from 7 to 15 variables were minimized and the results validated against the original ...
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