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A useful crude approximation for Abelian functions is developed and applied to orbits. The bound orbits in the power-law potentials A*r^{-alpha} take the simple form (l/r)^k = 1 + e cos(m*phi), where k = 2 - alpha > 0 and 'l' and 'e' are…

Astrophysics · Physics 2008-05-18 Donald Lynden-Bell , Shoko Jin

This user guide outlines the use of TIM, an interactive ray-tracing program with a number of special powers. TIM can be customised and embedded into internet pages, making it suitable not only for research but also for its dissemination.

Nowadays hydroelectric energy is one of the best energy sources: it is cleaner, safer and more programmable than other sources. For this reason, its manage could not be done in an approssimative way, but advance mathematical models must be…

Computational Engineering, Finance, and Science · Computer Science 2016-11-01 Matteo Gardini , Aurora Manicardi

Brief introduction to the theory of surface phase transitions at planar interfaces, such as wetting phenomena (in Czech).

Statistical Mechanics · Physics 2016-08-12 Alexandr Malijevský

This tutorial presents a simple yet accurate transient stability analysis for Type-A wind turbines. The paper is presented in a tutorial way and therefore it includes some scripts in Matlab/muPad which demonstrate the main concepts.

Optimization and Control · Mathematics 2018-05-17 Alejandro Garces

Efficient technique of manipulation with phase prefactors in electronic Fock spaces is developed. Its power is demonstrated on example of both relatively simple classic configuration interaction matrix element evaluation and essentially…

Chemical Physics · Physics 2015-06-26 A. I. Panin

In this paper, our aim is to discuss the outcome of a ten-year experimental workshop activity carried out by the Center `matematita' (http://www.matematita.it/) with classes of pre-university students of any age. We analyse the potential…

History and Overview · Mathematics 2012-11-12 Maria Dedò , Simonetta Di Sieno

Using some techniques of conformal field theories, we find a closed expression for the contribution of leading twist operators and their descendants, obtained by adding total derivatives, to the operator product expansion (OPE) of two…

High Energy Physics - Phenomenology · Physics 2020-12-09 V. M. Braun , Yao Ji , A. N. Manashov

This article has been withdrawn by the author due to an impending publication of a much improved version in a paper journal.

Atmospheric and Oceanic Physics · Physics 2011-11-09 Forest S. Patton , Gregory D. Bothun

This paper provides an overview on tools from potential theory on the sphere and some applications in geoscience.

Analysis of PDEs · Mathematics 2016-07-05 Christian Gerhards

Advantages of introducing the electron structure function in electron induced processes are demonstrated. At present energies the same experiment gives more precise description of the electron than photon structure. The momentum scales…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Slominski , J. Szwed

The theoretical background of the electroweak precision measurements at LEP1 is reviewed. The presentation is compact but specific enough to understand all details.

High Energy Physics - Phenomenology · Physics 2007-05-23 Bodo Lampe

Comment on "Efficiency of Isothermal Molecular Machines at Maximum Power" (PRL 108, 210602 (2012), arXiv:1201.6396)

Statistical Mechanics · Physics 2015-03-06 Yunxin Zhang

An introduction in quantum mechanical theory for NMR students which covers basic concepts and calculations.

Other Condensed Matter · Physics 2008-03-10 V. V. Korostelev

Here we carry out computations that help clarify the Lagrangian and Hamiltonian structure of compressible flow. The intent is to be pedagogical and rigorous, providing concrete examples of the theory outlined in Holm, Marsden, and Ratiu…

Mathematical Physics · Physics 2007-05-23 H. S. Bhat

This document provides and in-depth introduction to the mlr framework for machine learning experiments in R.

This paper briefly discusses some questions with analytical and topological aspects, with hopefully some useful references on both sides.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

This brief note explicates some mathematical details of Phys. Rev. Lett. 118, 130201 (2017), by showing how a version of the operator of that paper can be rigorously constructed on a well-defined linear space of functions.

Quantum Physics · Physics 2017-09-29 Markus P. Mueller

Wikipedia has high-quality articles on a variety of topics and has been used in diverse research areas. In this study, a method is presented for using Wikipedia's editor information to build recommender systems in various domains that…

Information Retrieval · Computer Science 2023-06-16 Katsuhiko Hayashi

This paper contains two parts: the description of a real electrical system, with many redundancies, reconfigurations and repairs, then the description of a reliability model of this system, based on the BDMP (Boolean logic Driven Markov…

Software Engineering · Computer Science 2017-03-21 Marc Bouissou