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Higgs bosons --- Infinite --- Quantum field theory

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The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate "marriage" where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups.This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and

Functional equations. --- Inequalities (Mathematics) --- Processes, Infinite --- Equations, Functional --- Functional analysis

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L'infini est le sujet le plus vaste que l'imagination puisse embrasser. Il a de tout temps fasciné les hommes, qu'ils soient artistes, philosophes ou scientifiques. Mais l'infini se manifeste-t-il vraiment dans la réalité physique, ou est-il seulement un concept de notre imagination, comme le pensait Aristote ? Des artistes comme Escher, des écrivains comme Borges ont tenté de le représenter, mais c'est Georg Cantor qui assoit fermement l'infini dans le paysage des mathématiques et nous dévoile ses propriétés étranges et magiques. L'univers est, par excellence, le lieu où l'infini se manifeste. Dans un univers infini, nous serions confrontés au paradoxe de l'éternel retour, où chacun de nous posséderait un nombre infini de sosies. Les avancées en physique de ces dernières décennies ont donné au mot "infini" un sens nouveau. Il se réfère non seulement à notre univers, mais aussi à une infinité d'univers parallèles, le tout formant un vaste et fantastique "multivers". A ces sujets vertigineux, Trinh Xuan Thuan apporte ses réflexions avec la pédagogie lumineuse, à la fois scientifique, philosophique et poétique qui lui est coutumière et qui a fait le grand succès de La Mélodie secrète, du Chaos et l'Harmonie, et, plus récemment, du Cosmos et le Lotus.

Science --- Infinite --- Philosophy and science --- Philosophy --- Infini --- Philosophie et sciences --- Infini. --- Philosophie et sciences. --- Science - Philosophy

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Human finitude and its implications have long been one of the central themes of Western philosophy. The essays gathered together in this volume explore various facets of this not altogether pleasing fact with which we must realistically come to terms.

Finite, The. --- Cognition. --- Philosophy. --- Mental philosophy --- Humanities --- Psychology --- Finiteness --- Finitude --- Finity --- Infinite --- Ontology --- Philosophy

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Concentration inequalities for functions of independent random variables is an area of probability theory that has witnessed a great revolution in the last few decades, and has applications in a wide variety of areas such as machine learning, statistics, discrete mathematics, and high-dimensional geometry. Roughly speaking, if a function of many independent random variables does not depend too much on any of the variables then it is concentrated in the sense that with highprobability, it is close to its expected value. This book offers a host of inequalities to illustrate this rich theory in a

Probabilities. --- Inequalities (Mathematics) --- Probabilités --- Inégalités (Mathématiques) --- Probabilities --- Processes, Infinite --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk