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In this work we state a Theorem on number theory and apply it to solve some ordinary and partial differential equations.

综合数学 · 数学 2021-02-25 B. M. Cerna Maguiña , D. D. Lujerio Garcia

A very elementary introduction to quantum algebras is presented and a few examples of their physical applications are mentioned.

数学物理 · 物理学 2007-05-23 R. Jaganathan

This is a short expository article on alternating knots and is to appear in the Concise Encyclopedia of Knot Theory.

几何拓扑 · 数学 2019-01-04 William W. Menasco

The small world of matter is getting smaller and smaller. Nano sciences in recent years had huge developments allowing nanotechnologies to take enormous steps in the development of materials and processes. Numerous applications in a wide…

物理与社会 · 物理学 2021-11-08 José António Filipe , Manuel Alberto M. Ferreira

Detecting anomalies in data is a vital task, with numerous high-impact applications in areas such as security, finance, health care, and law enforcement. While numerous techniques have been developed in past years for spotting outliers and…

社会与信息网络 · 计算机科学 2014-04-29 Leman Akoglu , Hanghang Tong , Danai Koutra

Grating spectra exhibit sharp variations of the scattered light, known as grating anomalies. The latter are due to resonances that have fascinated specialists of optics and physics for decades and are nowadays used in many applications. We…

光学 · 物理学 2019-09-10 Alexandre Gras , Wei Yan , Philippe Lalanne

The formulation of the alternative theory of neutrino oscillations is presented. Also the application of that theory to a system of neutrinos produced by a source is formulated and some basic formulae are derived.

高能物理 - 唯象学 · 物理学 2007-05-23 Viliam Pazma , Julius Vanko

The review is a brief description of the state of problems in percolation theory and their numerous applications, which are analyzed on base of interesting papers published in the last 15-20 years. At the submitted papers are studied both…

综合物理 · 物理学 2022-10-25 Alexander Herega

Fracture functions and their evolution equations are reviewed. Some phenomenological applications are briefly discussed.

高能物理 - 唯象学 · 物理学 2007-05-23 M. Grazzini

Anomalies drive scientific discovery -- they are associated with the cutting edge of the research frontier, and thus typically exploit data in the low signal-to-noise regime. In astronomy, the prevalence of systematics --- both "known…

宇宙学与河外天体物理 · 物理学 2014-10-16 Hiranya V. Peiris

This paper discusses some topics of enquiry concerning fractals, functions on them, and so on.

经典分析与常微分方程 · 数学 2007-05-23 Stephen Semmes

The aim of this article is to give a rather extensive, and yet nontechnical, account of the birth of the regularity theory for generalized minimal surfaces, of its various ramifications along the decades, of the most recent developments,…

偏微分方程分析 · 数学 2022-01-10 Camillo De Lellis

The mechanism by which gauge and gravitational anomalies cancel in certain string theories is reviewed. The presentation is aimed at theorists who do not necessarily specialize in string theory.

高能物理 - 理论 · 物理学 2017-08-23 John H. Schwarz

Methods and techniques of the theory of nonlinear dynamical systems and patterns can be useful in astrophysical applications. Some works on the subjects of dynamical astronomy, stellar pulsation and variability, as well as spatial…

天体物理学 · 物理学 2015-05-13 Oded Regev

This is a review of the paper "Anomalies in Quantum Field Theory and Cohomologies of Configuration Spaces" (arXiv:0903.0187).

数学物理 · 物理学 2009-07-23 Nikolay M. Nikolov

These lecture notes review the structure of anomalies and present some of their applications in field theory, string theory and M theory. They expand on material presented at the TASI 2003 summer school and the 2005 International Spring…

高能物理 - 理论 · 物理学 2007-05-23 Jeffrey A. Harvey

This is a short survey of amenable equivalence relations.

逻辑 · 数学 2018-09-05 Justin Tatch Moore

Some very elementary ideas about quantum groups and quantum algebras are introduced and a few examples of their physical applications are mentioned.

数学物理 · 物理学 2007-05-23 R. Jaganathan

The present paper refers to the theory and the practice of the systems regarding non-linear systems and their applications. We aimed the integration of these systems to elaborate their response as well as to highlight some outstanding…

离散数学 · 计算机科学 2009-03-26 Petre Bucur , Lucian Luca

We review and update the current status of the observed anomalies in stellar cooling and their interpretation in terms of axions and axion like particles.

高能天体物理现象 · 物理学 2016-11-16 Maurizio Giannotti