Results 31 to 40 of about 223,993 (286)

Unconventional height functions in simultaneous Diophantine approximation [PDF]

, 2016
Simultaneous Diophantine approximation is concerned with the approximation of a point $\mathbf x\in\mathbb R^d$ by points $\mathbf r\in\mathbb Q^d$, with a view towards jointly minimizing the quantities $\|\mathbf x - \mathbf r\|$ and $H(\mathbf r ...
Fishman, Lior, Simmons, David
core   +3 more sources

The AAAtrig algorithm for rational approximation of periodic functions [PDF]

SIAM Journal on Scientific Computing, 2020
We present an extension of the AAA (adaptive Antoulas--Anderson) algorithm for periodic functions, called 'AAAtrig'. The algorithm uses the key steps of AAA approximation by (i) representing the approximant in (trigonometric) barycentric form and (ii ...
Peter J. Baddoo
semanticscholar   +1 more source

Optimal designs for a class of nonlinear regression models [PDF]

, 2004
For a broad class of nonlinear regression models we investigate the local E- and c-optimal design problem. It is demonstrated that in many cases the optimal designs with respect to these optimality criteria are supported at the Chebyshev points, which ...
Dette, Holger, Melas, Viatcheslav B., Pepelyshev, Andrey   +2 more
core   +2 more sources

Approximation Theory XV: San Antonio 2016 [PDF]

, 2017
These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22\u201325, 2016 in San Antonio, Texas.
DE MARCHI, Stefano, Idda, Andrea, Santin, Gabriele   +2 more
core   +1 more source

Construction of a new smooth support vector machine model and its application in heart disease diagnosis.

PLoS ONE, 2023
Support vector machine (SVM) is a new machine learning method developed from statistical learning theory. Since the objective function of the unconstrained SVM model is a non-smooth function, a lot of fast optimization algorithms can't be used to find ...
Jianjian Wang, Feng He, Shouheng Sun
doaj   +2 more sources

Arithmetic purity of strong approximation for homogeneous spaces [PDF]

, 2018
We prove that any open subset $U$ of a semi-simple simply connected quasi-split linear algebraic group $G$ with ${codim} (G\setminus U, G)\geq 2$ over a number field satisfies strong approximation by establishing a fibration of $G$ over a toric variety ...
Cao, Y., Liang, Y., Xu, F.
core   +3 more sources

On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

Researches in Mathematics
The paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv, T. Antonova, R. Dmytryshyn, M. Dmytryshyn   +3 more
doaj   +1 more source

The Investigation of the Discrete Universality of L-Functions of Elliptic Curves

Jaunųjų Mokslininkų Darbai, 2022
In the paper, we prove the discrete universality theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the L-functions of elliptic curves.
Samanta Zakaitė, Antanas Garbaliauskas
doaj   +1 more source

Exact solution of the Percus-Yevick integral equation for fluid mixtures of hard hyperspheres [PDF]

, 2011
Structural and thermodynamic properties of multicomponent hard-sphere fluids at odd dimensions have recently been derived in the framework of the rational function approximation (RFA) [Rohrmann and Santos, Phys. Rev. E \textbf{83}, 011201 (2011)].
Rohrmann, René D., Santos, Andrés
core   +2 more sources

Analytic approximate eigenvalues by a new technique. Application to sextic anharmonic potentials

Results in Physics, 2018
A new technique to obtain analytic approximant for eigenvalues is presented here by a simultaneous use of power series and asymptotic expansions is presented.
D. Diaz Almeida, P. Martin
doaj   +1 more source