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Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the "twin paradox" is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.

Generalized spaces. --- Special relativity (Physics) --- Ether drift --- Mass energy relations --- Relativity theory, Special --- Restricted theory of relativity --- Special theory of relativity --- Relativity (Physics) --- Geometry of paths --- Minkowski space --- Spaces, Generalized --- Weyl space --- Calculus of tensors --- Geometry, Differential --- Geometry, Non-Euclidean --- Hyperspace --- Geometry. --- Global differential geometry. --- Mathematical physics. --- Topological Groups. --- Global analysis (Mathematics). --- Differential Geometry. --- Mathematical Methods in Physics. --- Topological Groups, Lie Groups. --- Analysis. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Groups, Topological --- Continuous groups --- Physical mathematics --- Physics --- Mathematics --- Euclid's Elements --- Differential geometry. --- Physics. --- Topological groups. --- Lie groups. --- Mathematical analysis. --- Analysis (Mathematics). --- 517.1 Mathematical analysis --- Mathematical analysis --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Differential geometry

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A critical edition, history, and facsimile reproduction of the necrological portion (i.e. folios 1-7) of the manuscript Manchester, John Rylands University Library, Latin 116.

Necrologies --- Obituaries --- Obituaires --- Nécrologies --- Benedictines --- Benediktinerkloster St. Maximin (Trier, Germany) --- Necrology --- John Rylands University Library of Manchester. --- Nécrologies --- Trèves --- Saint-Maximin --- Nécrologe --- Kloster Sankt Maximin (Trier, Allemagne) --- Monastères --- Moyen Age --- Sources --- Allemagne --- Trier (Allemagne) --- Trèves (Allemagne)

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Dans l'interprétation des phénomènes musicaux, le discours métaphorique, ainsi que le discours technique et formel, revêt une fonction cognitive fondamentale. Cet ouvrage propose une hypothèse explicative des mécanismes à l'oeuvre dans la réception de musiques qui "inviteraient" à les décrire par des métaphores matérielles. Par une démarche interdisciplinaire, ce texte se propose donc d'expliciter le lien entre les dimensions corporelles et les dimensions imaginatives dans l'expérience d'écoute musicale.

Music --- Music appreciation --- Sémiotique et musique --- Musique --- Semiotics --- Philosophy and aesthetics --- Appréciation --- Philosophie et esthétique --- Musical analysis --- Musical analysis. --- Sémiotique et musique. --- Analyse musicale. --- Semiotics. --- Philosophy and aesthetics. --- Philosophie et esthétique. --- Sémiotique et musique --- Appréciation --- Philosophie et esthétique --- Music appreciation. --- Cognition --- Esthétique musicale. --- Perception de la musique. --- Sémiologie musicale. --- Écoute musicale. --- Musique. --- Aspect psychologique. --- History and criticism --- Religious aspects --- Histoire et critique --- Aspect religieux --- Messiaen, Olivier, --- 783 --- 78 MESSIAEN, OLIVIER --- Music in worship --- Religion and music --- 783 Kerkmuziek. Religieuze muziek --- Kerkmuziek. Religieuze muziek --- 78 MESSIAEN, OLIVIER Muziek--MESSIAEN, OLIVIER --- Muziek--MESSIAEN, OLIVIER --- Messian, O., --- Mesianas, O., --- Criticism and interpretation. --- Messiaen, Olivier --- Messian, O. --- Mesianas, O. --- Music - Semiotics --- Music - Philosophy and aesthetics