Results 11 to 20 of about 3,572,424 (305)

Learning Read-Constant Polynomials of Constant Degree Modulo Composites [PDF]

open access: yesTheory of Computing Systems, 2011
Peer ...
Chattopadhyay, Arkadev   +3 more
openaire   +5 more sources

Is Catalan’s Constant Rational?

open access: yesMathematics, 2022
This paper employs a contour integral method to derive and evaluate the infinite sum of the Euler polynomial expressed in terms of the Hurwitz Zeta function. We provide formulae for several classes of infinite sums of the Euler polynomial in terms of the
Robert Reynolds, Allan Stauffer
doaj   +1 more source

A Polynomial Time Constant Approximation For Minimizing Total Weighted Flow-time [PDF]

open access: yesACM-SIAM Symposium on Discrete Algorithms, 2018
We consider the classic scheduling problem of minimizing the total weighted flow-time on a single machine (min-WPFT), when preemption is allowed. In this problem, we are given a set of n jobs, each job having a release time rj, a processing time pj, and ...
U. Feige, Janardhan Kulkarni, Shi Li
semanticscholar   +1 more source

Constant term identities and Poincaré polynomials [PDF]

open access: yesTransactions of the American Mathematical Society, 2015
In 1982 Macdonald published his now famous constant term conjectures for classical root systems. This paper begins with the almost trivial observation that Macdonald’s constant term identities admit an extra set of free parameters, thereby linking them to Poincaré polynomials.
Károlyi, Gyula   +2 more
openaire   +4 more sources

Upper Bound for Lebesgue Constant of Bivariate Lagrange Interpolation Polynomial on the Second Kind Chebyshev Points

open access: yesJournal of Mathematics, 2022
In the paper, we study the upper bound estimation of the Lebesgue constant of the bivariate Lagrange interpolation polynomial based on the common zeros of product Chebyshev polynomials of the second kind on the square −1,12. And, we prove that the growth
Juan Liu, Laiyi Zhu
doaj   +1 more source

“SPOCU”: scaled polynomial constant unit activation function

open access: yesNeural computing & applications (Print), 2020
We address the following problem: given a set of complex images or a large database, the numerical and computational complexity and quality of approximation for neural network may drastically differ from one activation function to another.
J. Kiselák   +4 more
semanticscholar   +1 more source

Morgan-Voyce Polynomial Approach for Quaternionic Space Curves of Constant Width

open access: yesFoundations of Computing and Decision Sciences, 2021
The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are ...
Aydin Tuba Ağirman   +2 more
doaj   +1 more source

Computing a Solution of Feigenbaum's Functional Equation in Polynomial Time [PDF]

open access: yesLogical Methods in Computer Science, 2014
Lanford has shown that Feigenbaum's functional equation has an analytic solution. We show that this solution is a polynomial time computable function. This implies in particular that the so-called first Feigenbaum constant is a polynomial time computable
Peter Hertling, Christoph Spandl
doaj   +1 more source

Dwork's congruences for the constant terms of powers of a Laurent polynomial [PDF]

open access: yes, 2013
We prove that the constant terms of powers of a Laurent polynomial satisfy certain congruences modulo prime powers. As a corollary, the generating series of these numbers considered as a function of a p-adic variable satisfies a non-trivial analytic ...
A. Mellit, Masha Vlasenko
semanticscholar   +1 more source

Constant Terms of Near-Dyson Polynomials [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2018
We formulate and prove a formula for the constant term for a certain class of Laurent polynomials, which include the Dyson conjecture and its generalizations by Bressoud and Goulden. Our method is explicit Combinatorial Nullstellensatz.
openaire   +2 more sources

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