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The fractional Sobolev spaces studied in the book were introduced in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical Sobolev spaces. They provide a natural home for solutions of a vast, and rapidly growing, number of questions involving differential equations and non-local effects, ranging from financial modelling to ultra-relativistic quantum mechanics, emphasising the need to be familiar with their fundamental properties and associated techniques. Following an account of the most basic properties of the fractional spaces, two celebrated inequalities, those of Hardy and Rellich, are discussed, first in classical format (for which a survey of the very extensive known results is given), and then in fractional versions. This book will be an Ideal resource for researchers and graduate students working on differential operators and boundary value problems.

Sobolev spaces. --- Inequalities (Mathematics)

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Voici enfin une œuvre accessible à tous, basée sur la théorie polyvagale et ses applications pratiques, offrant une approche de la santé physique, mentale et du bien-être qui suscite actuellement beaucoup d'intérêt chez de nombreux spécialistes. Pour bien comprendre une théorie et en retirer les bénéfices, l'idéal est de pouvoir l'expérimenter, la ressentir. Deb Dana en donne les outils. Elle permet au lecteur de passer de la théorie à la pratique, proposant plusieurs méthodes pour qu'il prenne conscience des différents états de son système nerveux autonome, pour qu'il prenne connaissance de lui-même et trouve son propre chemin vers l'état de régulation des voies vagales ventrales, de santé et de sécurité. Ce livre s'adresse à tous ceux qui souhaitent mieux s'armer face aux difficultés de la vie "idienne, allant à la découverte de leur système nerveux autonome et de celle du lieu de leur point d'ancrage dans la sécurité.

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This book focuses on the contribution of epithets and compound denominations to the definition of the religious figure of sovereigns and other political leaders in the Hellenistic world, from Philip II and Alexander III to Kleopatra VII and the beginning of the Roman Principate.Questions and methodologies related to the political history of the Hellenistic Mediterranean are combined with the results of recent studies in the functioning of the Greek epicletic system to provide a fresh reassessment of the entanglement between honorific practices and the religious life of Hellenistic communities, from continental Greece to Egypt, from Syracuse to Bactria. Reconsidering the relationships between honours and religion also implies reversing the question of the influence of Greek religion on Hellenistic ruler cults to explore how a new tradition of ritual encounters between human power and the divine sphere may have impacted post-classical developments in Greek polytheism.

Greek language, Hellenistic (300 B.C.-600 A.D.) --- Names, Greek --- Gods, Greek --- Honorific --- Etymology --- Names --- Religious aspects --- Greece --- Mediterranean Region --- Kings and rulers --- Religious aspects.

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Écoles des beaux-arts --- Arts décoratifs --- Discrimination --- Lutte contre le racisme. --- Racisme. --- Étude et enseignement --- Racisme. --- Lutte contre.