Results 11 to 20 of about 2,297,129 (216)

Asymptotics of Some Plancherel Averages via Polynomiality Results [PDF]

open access: yes, 2023
Consider Young diagrams of $n$ boxes distributed according to the Plancherel measure. So those diagrams could be the output of the RSK algorithm, when applied to random permutations of the set $\{1,\ldots,n\}$.
Schachinger, Werner
core   +1 more source

Algorithms for trigonometric polynomials [PDF]

open access: yesProceedings of the 2001 international symposium on Symbolic and algebraic computation, 2001
In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonometric polynomials, that is, polynomials in sin(x) and cos(x).
Jamie Mulholland, Michael B. Monagan
openaire   +1 more source

Decomposition Algorithms for Tensors and Polynomials

open access: yesSIAM Journal on Applied Algebra and Geometry, 2023
19 ...
Antonio Laface   +2 more
openaire   +3 more sources

Simple Algorithm for GCD of Polynomials

open access: yesWSEAS TRANSACTIONS ON MATHEMATICS, 2022
Based on the Bezout approach we propose a simple algorithm to determine the gcd of two polynomials which doesn’t need division, like the Euclidean algorithm, or determinant calculations, like the Sylvester matrix algorithm. The algorithm needs only n steps for polynomials of degree n.
Pasquale Nardone, Giorgio Sonnino
openaire   +3 more sources

A Polynomial Quantum Algorithm for Approximating the Jones Polynomial [PDF]

open access: yesAlgorithmica, 2006
The Jones polynomial, discovered in 1984, is an important knot invariant in topology. Among its many connections to various mathematical and physical areas, it is known (due to Witten) to be intimately connected to Topological Quantum Field Theory (TQFT).
Dorit Aharonov   +2 more
openaire   +3 more sources

Algorithms For Positive Polynomial Approximation [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2019
Summary: We propose several algorithms for positive polynomial approximation. The main tool is a novel iterative method to compute nonnegative interpolation polynomials at any order, which is shown to converge under conditions that make it suitable for the numerical approximation of positive functions. Our method is based on the special representations
Charles, Frédérique   +2 more
openaire   +3 more sources

Algorithmic polynomials [PDF]

open access: yesProceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018
The approximate degree of a Boolean function $f(x_{1},x_{2},\ldots,x_{n})$ is the minimum degree of a real polynomial that approximates $f$ pointwise within $1/3$. Upper bounds on approximate degree have a variety of applications in learning theory, differential privacy, and algorithm design in general.
openaire   +5 more sources

An Algorithm for Polynomial Operations [PDF]

open access: yesThe Computer Journal, 1967
Recent interest in the mechanization of operations in polynomial algebra has led to the production of programs such as ALPAK, FORMAC, Formula ALGOL (with associated translator), GRAD Assistant and PM. (See the survey in Comm. ACM, Vol. 9, No. 8, August 1966; and Brown, Hyde and Tague, 1962-3, Williams, 1962, and Collins, 1966a.) These programs provide ...
openaire   +3 more sources

Polynomiality of surface braid and mapping class group representations [PDF]

open access: yes, 2023
We study a wide range of homologically-defined representations of surface braid groups and of mapping class groups of surfaces, extending the Lawrence-Bigelow representations of the classical braid groups. These representations naturally come in families,
Soulié, Arthur, Palmer, Martin
core   +1 more source

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