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In the field of radial basis functions mathematicians have been endeavouring to find infinitely differentiable and compactly supported radial functions. This kind of functions is extremely important. One of the reasons is that its error…

Numerical Analysis · Mathematics 2007-05-23 Lin-Tian Luh

This is a position paper written as an introduction to the special volume on quantum algorithms I edited for the journal Mathematical Structures in Computer Science (Volume 20 - Special Issue 06 (Quantum Algorithms), 2010).

Quantum Physics · Physics 2011-03-09 Salvador E. Venegas-Andraca

This is an English translation of the following paper, published several years ago: Nikonorov Yu.G. On a characterization of critical points of the scalar curvature functional (Russian), Tr. Rubtsovsk. Ind. Inst., 7, 211-217 (2000), Zbl.…

Differential Geometry · Mathematics 2021-12-03 Yu. G. Nikonorov

Finite trigonometric sums occur in various branches of physics, mathematics, and their applications. These sums may contain various powers of one or more trigonometric functions. Sums with one trigonometric function are known, however sums…

Complex Variables · Mathematics 2017-02-23 Chandan Datta , Pankaj Agrawal

Comments on "A new additive decomposition of velocity gradient" [Phys. Fluids 31, 061702 (2019), arXiv:1908.01638] is presented

Fluid Dynamics · Physics 2020-07-06 Abhijit Mitra

In this paper our aim is to prove some monotonicity and convexity results for the modified Struve function of the second kind by using its integral representation. Moreover, as consequences of these results, we present some functional…

Classical Analysis and ODEs · Mathematics 2015-01-28 Árpád Baricz , Tibor K. Pogány

We generalize and slight improve the result of I. I. Sharapudinov [Mat. Zametki, 1996, Volume 59, Issue 2, 291--302]. Some applications to the de la Vall\'{e}e Poussin operator will also be given.

Classical Analysis and ODEs · Mathematics 2019-04-08 Wlodzimierz Lenski , Bogdan Szal

We collect together various facts about G_2 and Spin(7) geometry which are likely well known but which do not seem to have appeared explicitly in the literature before. These notes should be useful to graduate students and new researchers…

Differential Geometry · Mathematics 2010-07-14 Spiro Karigiannis

This is a comment on arXiv:1402.6767 (2014) by Y. Imura, T. Okubo, S. Morita, and K. Okunishi.

Statistical Mechanics · Physics 2016-07-19 Hiroaki Matsueda , Ching Hua Lee , Yoichiro Hashizume

A few corrections and comments are made upon a previously published paper by the author (Gen. Rel. Gravit. 24, 199 (1992)), on the subject of cosmological models with compact spatial sections.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Helio V. Fagundes

We present a systematic derivation of some definite integrals in the classical table of Gradshteyn and Ryzhik that can be reduced to the gamma function.

Classical Analysis and ODEs · Mathematics 2007-05-23 Victor H. Moll

Many integrals in the classical table by Gradshteyn and Ryzhik can be evaluated in terms of the digamma function (= the logarithmic derivative of the gamma function). Some of them are presented here.

Classical Analysis and ODEs · Mathematics 2007-09-24 Luis A. Medina , Victor H. Moll

1 - Introduction 2 - Small-Angle Bhabha Scattering and the Luminosity Measurement 3 - Z^0 Physics 4 - Fits to Precision Data 5 - Physics at LEP2 6 - Conclusions

High Energy Physics - Phenomenology · Physics 2015-06-25 G. Montagna , O. Nicrosini , F. Piccinini

This is a survey article to be part of the Encyclopedia of Mathematical Physics, to be published by Elsevier in the beginning of 2006.

Probability · Mathematics 2016-09-07 Vincent Beffara , Vladas Sidoravicius

This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that were omitted in it.

Combinatorics · Mathematics 2010-02-02 Edward D. Kim , Francisco Santos

We prove a sharpened version of the Strichartz inequality for radial solutions of the Schr\"odinger equation in $\mathbb{R}^2\times \mathbb{R}$. We establish an improved upper bound for functions that nearly extremize the inequality, with a…

Classical Analysis and ODEs · Mathematics 2018-07-26 Felipe Gonçalves

In our recent publication we obtained a series expansion of the arctangent function involving complex numbers. In this work we show that this formula can also be expressed as a real rational function.

General Mathematics · Mathematics 2017-01-19 S. M. Abrarov , B. M. Quine

This work deals with the numerical solution of systems of oscillatory second-order differential equations which often arise from the semi-discretization in space of partial differential equations. Since these differential equations exhibit…

Numerical Analysis · Mathematics 2024-10-29 Lidia Aceto , Fabio Durastante

In the present article, we have given a corrigendum to our paper "Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers" published in Journal of In- equalities and Applications (2015) 2015:249.

Classical Analysis and ODEs · Mathematics 2015-11-30 M. Mursaleen , Md. Nasiruzzaman , Ashirbayev Nurgali
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