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In this paper we present theorems and applications of Wallis theorem related to trigonometric integrals.

General Mathematics · Mathematics 2007-08-27 Mihaly Bencze , Florentin Smarandache

The wide application of estimation techniques in system analysis enable us to best determine and understand the history of system states. This paper attempts to delineate the theory behind linear and non-linear estimation with a suitable…

Applications · Statistics 2014-10-21 Raja Manish

This article summarises a Web-book on "Complexity" that was developed to introduce undergraduate students to interesting complex systems in the biological, physical and social sciences, and the common tools, principles and concepts used for…

Physics Education · Physics 2007-05-23 Rajesh R. Parwani

This article gives a brief overview of some of the theory behind the inflationary cosmology, and discusses prospects for constraining inflation using observations. Particular care is given to the question of falsifiability of inflation or…

Astrophysics · Physics 2009-11-07 Andrew R Liddle

A qualitative (and selective) discussion of current activities and problems in the field is given.

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Beneke

We give an introduction to the theory of cluster categories and cluster tilted algebras. We include some background on the theory of cluster algebras, and discuss the interplay with cluster categories and cluster tilted algebras.

Representation Theory · Mathematics 2010-12-30 Idun Reiten

This is a survey of recent developments in the area of transport inequalities. We investigate their consequences in terms of concentration and deviation inequalities and sketch their links with other functional inequalities and also large…

Probability · Mathematics 2011-01-25 Nathael Gozlan , Christian Léonard

We discuss the various resolutions which have been suggested in the literature for the way that the equivalence theorem can be satisfied in theories with global anomalies. We provide a model-independent proof for the resolution originally…

High Energy Physics - Phenomenology · Physics 2009-10-28 John F. Donoghue , Jusak Tandean

This paper discusses the distributions of missing sums and differences.

Number Theory · Mathematics 2012-04-24 Tiffany C. Inglis

At present a number of current or proposed experiments are directed towards a search for a `new physics' by detecting variations of fundamental physical constants or violations of certain basic symmetries. Various problems related to the…

Atomic Physics · Physics 2015-05-13 Savely G. Karshenboim

In the recent development in a various disciplines of physics, it is noted the need for including the deformed versions of the exponential functions. In this paper, we consider the deformations which have two purposes: to have them like…

Classical Analysis and ODEs · Mathematics 2010-05-28 Miomir S. Stanković , Sladjana D. Marinković , Predrag M. Rajković

A broader definition of generalized truncations of graphs is introduced followed by an exploration of some standard concepts and parameters with regard to generalized truncations.

Combinatorics · Mathematics 2020-07-10 Brian Alspach , Joshua B. Connor

The paper presents a description of some point of view of different authors related to the failures and exceptions that appear in workflows, as a direct consequence of unavailability of resources involved in the workflow. Each of these…

Software Engineering · Computer Science 2009-03-03 Alexandra Fortis , Alexandru Cicortas , Victoria Iordan

I use an instrumental approach to investigate some commonly made claims about interpretations of quantum mechanics, especially those that pertain questions of locality. The here presented investigation builds on a recently proposed taxonomy…

Quantum Physics · Physics 2024-10-08 Sabine Hossenfelder

We prove some basic properties of quasinearly subharmonic functions and quasinearly subharmonic functions in the narrow sense.

Complex Variables · Mathematics 2016-08-17 Mansour Kalantar

Examples are presented for appearance of geometric symmetry in the shape of various astronomical objects and phenomena. Usage of these symmetries in astrophysical and extragalactic research is also discussed.

Popular Physics · Physics 2022-01-14 László Szabados

Status of neutrino oscillation study is briefly reviewed. Some aspects relevant to tau physics are also described.

High Energy Physics - Phenomenology · Physics 2012-12-03 Osamu Yasuda

This is an exposition of some basic ideas in the realm of Global Inverse Function theorems. We address ourselves mainly to readers who are interested in the applications to Differential Equations. But we do not deal with those applications…

Functional Analysis · Mathematics 2014-10-30 Giuseppe De Marco , Gianluca Gorni , Gaetano Zampieri

A pattern of partial resummation of perturbation theory series inspired by analytical continuation is discussed for some physical observables.

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Pivovarov

The article introduces the concept of uniformity, which is formulated as a scheme of axioms. The connection of this concept with ordered sets is studied. The effectiveness of using axiom schemes as a convenient and short way of replacing…

Logic · Mathematics 2023-07-04 V. M. Zhuravlov