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Course material for mathematical methods of theoretical physics intended for an undergraduate audience.

Mathematical Physics · Physics 2023-02-07 Karl Svozil

The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented. All possible exact solutions of the generalized Brethenton equation are given.

Pattern Formation and Solitons · Physics 2011-12-23 Nikolay A. Kudryashov , Dmitry I. Sinelshchikov , Maria V. Demina

We consider the junction of multiple one-dimensional systems and study how conserved currents transport at the junction. To characterize the transport process, we introduce reflection/transmission coefficients by applying boundary conformal…

High Energy Physics - Theory · Physics 2015-07-30 Taro Kimura , Masaki Murata

Comment on Causal Inference in the Medical Area [math.ST/0612783]

Statistics Theory · Mathematics 2007-06-13 Edward L. Korn

In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the $p-$Laplace operator that were motivated by some discussion the authors had with Prof. Cianchi.

Analysis of PDEs · Mathematics 2009-01-15 Leandro Del Pezzo , Julián Fernández Bonder

Comment on the paper of T.Bachels, H. J. G\"{u}ntherodt and R.Sch\"{a}fer : "Melting of Isolated Tin Nanoparticles".

Materials Science · Physics 2009-10-31 R. Kofman , P. Cheyssac , F. Celestini

We give several algorithms addressing computations of intersections of conjugate subgroups.

Group Theory · Mathematics 2018-11-13 Rita Gitik

We prove some generalizations of the sum formula for multiple zeta values by using Hiroyuki Ochiai's method of proving the sum formula.

Number Theory · Mathematics 2022-06-03 Masahiro Igarashi

A Comment on the Letter by D. Hemanth Kumar et al., Phys. Rev. Lett. 93, 144301 (2004)

Statistical Mechanics · Physics 2007-05-23 Sorin Bastea

This paper discusses spreadsheets documentation and new means to achieve this end by using Excel's built-in "Comment" function. By structuring comments, they can be used as an essential tool to fully explain spreadsheet. This will greatly…

Human-Computer Interaction · Computer Science 2008-03-10 Raymond Payette

The revised version has two additional references and a shorter proof of Proposition 5.7. This version also makes numerous small changes and has an appendix containing a proof of the degree formula for a parametrized surface.

Algebraic Geometry · Mathematics 2007-05-23 David A. Cox

We obtain some optimal estimates for multilinear forms on $\ell _{p}$ spaces.

Functional Analysis · Mathematics 2015-11-04 Tony Nogueira , Daniel Pellegrino

A difference equation based method of determining two factors of a composite is presented. The feasibility of P-complexity is shown. Presentation of material is non-theoretical; intended to be accessible to a broader audience of non…

Discrete Mathematics · Computer Science 2016-02-23 Charles Sauerbier

We review the methods to combine several measurements, in the form of parameter values or $p$-values.

Data Analysis, Statistics and Probability · Physics 2017-04-20 Louis Lyons , Emilien Chapon

This paper presents formulae for calculation of cumulative probability of effect made by blast fragments. Analysis with Mott distribution, discrete fragment enumeration, spatial non-uniformity, numerical issues, and a generalisation for a…

General Physics · Physics 2013-04-09 Oleg Mazonka

The letter by Mark Perakh entitled "DEFINING COMPLEXITY: A Commentary to a paper by Charles H. Bennett" is here archived with the permission of the author. This letter was downloaded from the site "On Talk Reason,…

Chaotic Dynamics · Physics 2007-05-23 Mark Perakh

Comment on ``Microarrays, Empirical Bayes and the Two-Group Model'' [arXiv:0808.0572]

Methodology · Statistics 2008-08-06 T. Tony Cai

Rejoinder: Expert Elicitation for Reliable System Design [arXiv:0708.0279]

Methodology · Statistics 2009-09-29 Tim Bedford , John Quigley , Lesley Walls

An analytical approach to convolution of functions, which appear in perturbative calculations, is discussed. An extended list of integrals is presented.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. B. Arbuzov