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The Maximal Complexity of Quasiperiodic Infinite Words
A quasiperiod of a finite or infinite string is a word whose occurrences cover every part of the string. An infinite string is referred to as quasiperiodic if it has a quasiperiod.
Ludwig Staiger
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Matrix of Polynomials Model based Polynomial Dictionary Learning Method for Acoustic Impulse Response Modeling [PDF]
We study the problem of dictionary learning for signals that can be represented as polynomials or polynomial matrices, such as convolutive signals with time delays or acoustic impulse responses.
Dong, Jing +4 more
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An Explanation of Mellin’s 1921 Paper
In 1921 Mellin published a Comptes Rendu paper computing the principal solution of a polynomial using generalized hypergeometric functions of its coefficients. He used an integral transform nowadays bearing his name.
W. M. Lawton
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In this paper, we study polynomial norms, i.e. norms that are the $d^{\text{th}}$ root of a degree-$d$ homogeneous polynomial $f$. We first show that a necessary and sufficient condition for $f^{1/d}$ to be a norm is for $f$ to be strictly convex, or ...
Ahmadi, Amir Ali +2 more
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Deterministic polynomial-time approximation algorithms for partition functions and graph polynomials [PDF]
We show a new way of constructing deterministic polynomial-time approximation algorithms for computing complex-valued evaluations of a large class of graph polynomials on bounded degree graphs.
V. Patel, Guus Regts
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Polynomial Cohomology and Polynomial Maps on Nilpotent Groups [PDF]
We introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficients admits a description in terms of ordinary cohomology with polynomial ...
Kyed, David, Petersen, Henrik Densing
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Polynomial selections and separation by polynomials [PDF]
Necessary and sufficient conditions under which two real functions defined on the real interval can be separated by a polynomial are given. An immediate consequence of the main result is the existence of the polynomial separation of convex functions of higher order. Another application is some Hyers-Ulam-stability-type result.
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Let p(z) be a polynomial of degree n having no zeros in |z|
Kshetrimayum Krishnadas +2 more
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A Penrose polynomial for embedded graphs [PDF]
We extend the Penrose polynomial, originally defined only for plane graphs, to graphs embedded in arbitrary surfaces. Considering this Penrose polynomial of embedded graphs leads to new identities and relations for the Penrose polynomial which can not be
Aigner +22 more
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Chain polynomials and Tutte polynomials [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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