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The classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik contains some elementary integrals. We discuss their evaluations.

Classical Analysis and ODEs · Mathematics 2007-07-17 Tewodros Amdeberhan , Victor H. Moll

The content of this paper is now available as part of arXiv:0802.2019

Quantum Physics · Physics 2008-02-15 Cosmo Lupo

We congratulate the authors for the interesting paper. The reading has been really pleasant and instructive. We discuss briefly only some of the interesting results given in Devroye and James "On simulation and properties of the stable…

Probability · Mathematics 2015-09-21 Mirko D'Ovidio , Federico Polito

Contributed discussion and rejoinder to "Geodesic Monte Carlo on Embedded Manifolds" (arXiv:1301.6064)

This paper is a short introduction to a special issue on philosophy of cosmology, published in the May 2014 issue of Studies in History and Philosophy of Modern Physics. I briefly introduce the philosophy of cosmology, and then provide a…

History and Philosophy of Physics · Physics 2014-04-25 Henrik Zinkernagel

The authors of the Comment ascribe us claims never made while moderating their own previous unsubstantiated statements.

Mesoscale and Nanoscale Physics · Physics 2007-08-29 E. G. Mishchenko

We modify the proof of the basic lemma of a paper of Saks and Zygmund on additive functions of rectangles.

Analysis of PDEs · Mathematics 2025-03-31 Julià Cufí , Juan J. Donaire

Physics of dielectric mixtures are presented to stimulate discussion and to provide information on the recent advances in this topic.

Other Condensed Matter · Physics 2013-04-23 Enis Tuncer

This text is an introduction to the study of NIP (or dependent) theories. It is meant to serve two purposes. The first is to present various aspects of NIP theories and give the reader the background material needed to understand almost any…

Logic · Mathematics 2014-07-22 Pierre Simon

This paper was originally designed as a literature review for a doctoral dissertation focusing on Wikipedia. This exposition gives the structure of Wikipedia and the latest trends in Wikipedia research.

Digital Libraries · Computer Science 2015-03-19 Owen S. Martin

We give a brief overview of a few criteria equivalent to the Riemann Hypothesis. Next we concentrate on the Riesz and B{\'a}ez-Duarte criteria. We proof that they are equivalent and we provide some computer data to support them. It is not…

Number Theory · Mathematics 2009-11-13 J. Cislo , M. Wolf

We explore some integrals associated with the Riesz function and establish relations to other functions from number theory that have appeared in the literature. We also comment on properties of these functions.

Number Theory · Mathematics 2017-08-01 Alexander E Patkowski

Rejoinder of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2016-08-07 Botond Szabó , A. W. van der Vaart , J. H. van Zanten

We solve the word problem of the identity $x(yz) = (xy)(yz)$ by investigating a certain group describing the geometry of that identity. We also construct a concrete realization of the free system of rank~1 relative to the above identity

Logic · Mathematics 2007-05-23 Patrick Dehornoy

This reply tries to rectify some misunderstandings that are in our opinion contained in the Comment by Campostrini and Rossi, <hep-lat 99407008> on our paper <hep-lat 9407003>.

High Energy Physics - Lattice · Physics 2007-05-23 A. Patrascioiu , E. Seiler

Shukla and Akbari-Moghanjoughi have {\it corrected} their Comment (see their version 1 on `arXiv:1207.7029v1) to EPL on our work [1] after receiving our Response from the Editors of EPL. We have a pleasant duty at hand to present our second…

Plasma Physics · Physics 2015-06-11 J. Vranjes , B. P. Pandey , S. Poedts

This paper is a contribution to the study of extensions of arbitrary models of ZF (Zermelo-Fraenkel set theory), with no regard to countability or well-foundedness of the models involved. We present some new constructions of certain types…

Logic · Mathematics 2026-04-07 Ali Enayat

The content of this paper is now available as part of arXiv:0902.1502

Quantum Physics · Physics 2009-02-10 Stefano Pirandola

This is an additional remark to the paper (hep-th 9411005) concerning a Hamiltonian structure of suggested there system of equations. The remark is inspired by a letter from L. Feher and I. Marshall.

High Energy Physics - Theory · Physics 2008-02-03 L. A. Dickey

This is an approximate reconstruction of the panel discussion on chiral extrapolation of physical observables. The session consisted of brief presentations from panelists, followed by responses from the panel, and concluded with questions…