Results 21 to 30 of about 57,503 (225)

Order recognition by Schubert polynomials generated by optical near-field statistics via nanometre-scale photochromism

Scientific Reports, 2022
Irregular spatial distribution of photon transmission through a photochromic crystal photoisomerized by a local optical near-field excitation was previously reported, which manifested complex branching processes via the interplay of material deformation ...
Kazuharu Uchiyama, Sota Nakajima, Hirotsugu Suzui, Nicolas Chauvet, Hayato Saigo, Ryoichi Horisaki, Kingo Uchida, Makoto Naruse, Hirokazu Hori   +8 more
doaj   +1 more source

Fixed Point Polynomials of Permutation Groups [PDF]

, 2013
In this paper we study, given a group $G$ of permutations of a finite set, the so-called fixed point polynomial $\sum_{i=0}^{n}f_{i}x^{i}$, where $f_{i}$ is the number of permutations in $G$ which have exactly $i$ fixed points.
Harden, CM, Penman, DB
core   +1 more source

Enumerating permutation polynomials

Finite Fields and Their Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Theodoulos Garefalakis, Giorgos Kapetanakis   +1 more
openaire   +1 more source

A Coefficient Test for Quintic Permutation Polynomials Over Integer Rings

IEEE Access, 2018
For selecting appropriate permutation polynomials (PPs) in practical applications, it is necessary to know the coefficients of the polynomial since a brute-force exhaustive search is impractical when the number of PPs is large.
Lucian Trifina, Daniela Tarniceriu
doaj   +1 more source

Characters of symmetric groups in terms of free cumulants and Frobenius coordinates [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
Free cumulants are nice and useful functionals of the shape of a Young diagram, in particular they give the asymptotics of normalized characters of symmetric groups $\mathfrak{S}(n)$ in the limit $n \to \infty$.
Maciej Dolega, Valentin Féray, Piotr Sniady   +2 more
doaj   +1 more source

On generalized Rédei functions

International Journal of Mathematics and Mathematical Sciences, 1988
A generalization of Rédei functions to polynomial vectors in n indeterminates over finite fields or residue class rings of integers is given by considering special types of polynomial vectors.
R. Matthews, R. Lidl
doaj   +1 more source

A note on some identities of derangement polynomials

Journal of Inequalities and Applications, 2018
The problem of counting derangements was initiated by Pierre Rémond de Montmort in 1708 (see Carlitz in Fibonacci Q. 16(3):255–258, 1978, Clarke and Sved in Math. Mag. 66(5):299–303, 1993, Kim, Kim and Kwon in Adv. Stud. Contemp. Math. (Kyungshang) 28(1):
Taekyun Kim, Dae San Kim, Gwan-Woo Jang, Jongkyum Kwon   +3 more
doaj   +1 more source

Constructing permutation polynomials from piecewise permutations

Finite Fields and Their Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Xiwang, Hu, Lei, Zha, Zhengbang
openaire   +1 more source

Analysis of cubic permutation polynomials for turbo codes

, 2012
Quadratic permutation polynomials (QPPs) have been widely studied and used as interleavers in turbo codes. However, less attention has been given to cubic permutation polynomials (CPPs).
D. Tărniceriu, Daniela Tarniceriu, G. H. Hardy, H. Zhao, H. Zhao, J. G. Proakis, J. Ryu, J. Sun, J. Yuan, Lucian Trifina, R. Garello, S. Benedetto, Y. O. Takeshita, Y. O. Takeshita, Y.-L. Chen   +14 more
core   +1 more source

Stack-Sortable Permutations and Polynomials

Turkish Journal of Mathematics, 2009
The Catalan numbers show up in a diverse variety of counting problems. In this note we give yet another characterization of the Catalan number C(n). It is characterized as the dimension of a certain space of multilinear polynomials by exhibiting a basis.
Güloğlu, İsmail Şuayip, Koç, Cemal
openaire   +2 more sources