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In this work, we propose an extensive numerical study on approximating the absolute value function. The methods presented in this paper compute approximants in the form of rational functions and have been proposed relatively recently, e.g.,…

Numerical Analysis · Mathematics 2020-05-07 Ion Victor Gosea , Athanasios C. Antoulas

We introduce matching functions as a means of summing heavy-quark logarithms to any order. Our analysis is based on Witten's approach, where heavy quarks are decoupled one at a time in a mass-independent renormalization scheme. The outcome…

High Energy Physics - Phenomenology · Physics 2010-03-26 S. D. Bass , R. J. Crewther , F. M. Steffens , A. W. Thomas

In Weighted Model Counting (WMC) we assign weights to Boolean literals and we want to compute the sum of the weights of the models of a Boolean function where the weight of a model is the product of the weights of its literals. WMC was…

Quantum Physics · Physics 2020-02-18 Fabrizio Riguzzi

We propose a new method for the estimation of parameters of hidden diffusion processes. Based on parametrization of the transition matrix, the Baum-Welch algorithm is improved. The algorithm is compared to the particle filter in application…

Data Structures and Algorithms · Computer Science 2007-05-23 A. Benabdallah , G. Radons

In this paper, we establish some new integral inequalities for $(\alpha, m)-$convex functions and quasi-convex functions, respectively. Our results in special cases recapture known results.

Functional Analysis · Mathematics 2012-01-31 Wenjun Liu

In this paper, we first establish an evaluation formula to calculate Wiener integrals of functionals on Wiener space. We then apply our evaluation formula to carry out very easily calculating for the analytic Fourier-Feynman transform of…

Functional Analysis · Mathematics 2020-01-01 Hyun Soo Chung

In this paper, we develop a unified method for obtaining and proving $m$-dissections of mock theta functions. Our approach builds upon a transformation formula for Appell--Lerch sums due to Hickerson and Mortenson, which allows these sums…

Number Theory · Mathematics 2026-03-27 Frank Garvan , Hemjyoti Nath

The objective of this paper is to apply the well-known exact operational matrices (EOMs) idea for solving the Emden-Fowler equations, illustrating the superiority of EOMs versus ordinary operational matrices (OOMs). Up to now, a few studies…

Numerical Analysis · Computer Science 2014-01-03 K. Parand , Sayyed A. Hossayni , J. A. Rad

Variable Muckenhoupt weights are considered in variable exponent Lebesgue spaces. Applications are given for polynomial approximation in these spaces. Boundedness of averaging operator is proved to gain a transference result. Almost all…

Classical Analysis and ODEs · Mathematics 2021-09-02 Ramazam Akgün

In the present paper, we were mainly concerned with obtaining estimates for the general Taylor-Maclaurin coefficients for functions in a certain general subclass of analytic bi-univalent functions. For this purpose, we used the Faber…

Complex Variables · Mathematics 2019-05-01 Ala Amourah

The aim of this paper is to apply an original computation method due to Malesevic and Makragic [5] to the problem of approximating some trigonometric functions. Inequalities of Wilker-Cusa-Huygens are discussed, but the method can be…

Classical Analysis and ODEs · Mathematics 2019-10-15 Marija Nenezic , Branko Malesevic , Cristinel Mortici

We investigate {\em multidimensional covering mechanism-design} problems, wherein there are $m$ items that need to be covered and $n$ agents who provide covering objects, with each agent $i$ having a private cost for the covering objects he…

Computer Science and Game Theory · Computer Science 2013-09-11 Hadi Minooei , Chaitanya Swamy

It is given a way of computing Casimir eigenvalues for Weyl orbits as well as for irreducible representations of Lie algebras. A kappa(s) number of polinomials which depend on rank N are obtained explicitly for A_N Casimir operators of…

Mathematical Physics · Physics 2009-10-30 H. R. Karadayi , M. Gungormez

We give an algorithm to determine whether Wilf's conjecture holds for all numerical semigroups with a given multiplicity $m$, and use it to prove Wilf's conjecture holds whenever $m \le 18$. Our algorithm utilizes techniques from polyhedral…

Combinatorics · Mathematics 2019-07-23 Winfried Bruns , Pedro Garcia-Sanchez , Christopher O'Neill , Dane Wilburne

We analyze the space of bivariate functions that are piecewise polynomial of bi-degree \textless{}= (m, m') and of smoothness r along the interior edges of a planar T-mesh. We give new combinatorial lower and upper bounds for the dimension…

Algebraic Geometry · Mathematics 2015-09-15 Bernard Mourrain

The convergence of the so-called quadratic method for computing eigenvalue enclosures of general self-adjoint operators is examined. Explicit asymptotic bounds for convergence to isolated eigenvalues are found. These bounds turn out to…

Numerical Analysis · Mathematics 2016-11-26 Lyonell Boulton , Aatef Hobiny

Small expectation values are difficult to measure in Monte Carlo calculations as they tend to get swamped by noise. Recently an algorithm has been proposed by Luscher and Weisz which allows one to measure expectation values which previously…

High Energy Physics - Lattice · Physics 2009-11-07 Pushan Majumdar

The weight decision problem, which requires to determine the Hamming weight of a given binary string, is a natural and important problem, with applications in cryptanalysis, coding theory, fault-tolerant circuit design and so on. In…

Quantum Physics · Physics 2018-10-09 Xiaoyu He , Xiaoming Sun , Guang Yang , Pei Yuan

We describe in detail the constrained procedure of differential renormalization and develop the techniques required for one-loop calculations. As an illustration we renormalize Scalar QED and show that the two-, three- and four-point Ward…

High Energy Physics - Phenomenology · Physics 2015-06-25 F. del Aguila , A. Culatti , R. Munoz-Tapia , M. Perez-Victoria

A selection of algorithms for the rational approximation of matrix-valued functions are discussed, including variants of the interpolatory AAA method, the RKFIT method based on approximate least squares fitting, vector fitting, and a method…

Numerical Analysis · Mathematics 2021-04-21 Ion Victor Gosea , Stefan Güttel