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"This book, the first on these topics, addresses the problem of finding an ellipsoid to represent a large set of points in high-dimensional space, which has applications in computational geometry, data representations, and optimal design in statistics. The book covers the formulation of this and related problems, theoretical properties of their optimal solutions, and algorithms for their solution. Due to the high dimensionality of these problems, first-order methods that require minimal computational work at each iteration are attractive. While algorithms of this kind have been discovered and rediscovered over the past fifty years, their computational complexities and convergence rates have only recently been investigated. The optimization problems in the book have the entries of a symmetric matrix as their variables, so the author’s treatment also gives an introduction to recent work in matrix optimization." [Publisher]
Ellipse --- Cylinders --- Ellipse. --- Cylinders. --- Ellipses (mathématiques)
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514 --- kegels --- meetkunde --- wiskunde --- Conic sections --- Curves, Plane --- Geometry, Plane --- Mathematics --- Ellipse --- Geometry, Analytic --- Parabola
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French language --- Grammar --- Grammar, Comparative and general --- Ellipse (Linguistique) --- Français (Langue) --- Ellipsis --- Syntax --- Syntaxe --- Ellipse (linguistique) --- Implicite (linguistique) --- Français (langue) --- Sémantique --- 804.0-56 --- Frans: syntaxis; semantiek --- 804.0-56 Frans: syntaxis; semantiek --- Français (Langue) --- Semantics --- Syntaxe. --- Sémantique. --- Ellipsis.
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This volume takes a new look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga's Conica . It provides a long overdue alternative to H.G. Zeuthen's Die Lehre von den Kegelschnitten im Altertum . The central part of the volume contains a historically sensitive analysis and interpretation of the entire Conica , both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII, which have had scant treatment until now. Two chapters in the volume concern histioriographic issues connected with the Conica in paricular and Greek mathematics in general. Although the volume is intended primarily for historians of ancient mathematics, its approach is fresh and engaging enough to be of interest also to historians, philosophers, linguists, and open-minded mathematicians.
Mathematics, Greek --- Conic sections --- Mathématiques grecques --- Coniques --- Apollonius, --- Mathematics, Greek. --- Greek mathematics --- Geometry --- Curves, Plane --- Geometry, Plane --- Mathematics --- Ellipse --- Geometry, Analytic --- Parabola --- Apollonius of Perga --- Mathématiques grecques
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Conic sections --- Greek mathematics --- Griekse wiskunde --- Kegelsneden --- Mathematics [Greek ] --- Mathématiques grecques --- Sections coniques --- Wiskunde [Griekse ] --- Mathematics, Greek. --- Mathematics, Greek --- Geometry --- Curves, Plane --- Geometry, Plane --- Mathematics --- Ellipse --- Geometry, Analytic --- Parabola --- Apollonius of Perga --- Apollonius,
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German language --- Ellipsis. --- Syntax. --- -German language --- -Ashkenazic German language --- Hochdeutsch --- Judaeo-German language (German) --- Judendeutsch language --- Judeo-German language (German) --- Jüdisch-Deutsch language --- Jüdischdeutsch language --- Germanic languages --- Ellipsis --- Syntax --- -Ellipsis --- Ashkenazic German language --- German language - Ellipsis. --- German language - Syntax. --- DEUTSCHE SPRACHE --- SYNTAX --- ELLIPSE --- SEMANTIK
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Bagatelles pour l’éternité (littéraire). On se souvient du jugement de Pline sur Martial : « il a écrit ses bagatelles en vue de la postérité ». Jeux, mais jeux sérieux de moraliste, suggérait de son côté Martial. Le paradoxe de l’épigramme achemine vers quelques questions. Comment le texte bref peut-il faire œuvre ? À ce qui n’a pas d’étendue, quelle place donner dans le champ de la littérature ? Et quel poids quand la ténuité de la forme se double de la frivolité ou de la contingence radicale du sujet ? Le choix de la brièveté relève souvent d’une démarche ambiguë : modestie affichée, mais biais pour échapper aux contraintes des grands genres et contestation des valeurs, stylistiques et mentales, qu’ils véhiculent. Les dix-sept études ici rassemblées permettent d’envisager, à partir d’exemples typiques, depuis l’antiquité jusqu’à nos jours, des fables d’Ésope aux nouvelles de Borges, des lais de Marie de France à un roman éclaté de R. Pinget, de Gaspard de la Nuit d’Aloysius Bertrand aux Phrases pour éventail de Claudel, certaines des stratégies et des significations de la brièveté. Là, comme dans les prologues de théâtre, les pièces en un acte, et aussi, pour une part, la fable, le miracle (Gautier de Coincy), ou le conte, dominent la considération pratique de la réception, le souci de s’accorder à l’impatience ou la fantaisie du public. Mais le bref ne se conçoit guère sans une esthétique. Malgré la diversité des postulations et des projets, on repère des méthodes similaires : l’ellipse, présente dans le récit lacunaire du poème en prose, et, déjà, dans les silences d’histoires folkloriques du xvie siècle ; la discontinuité, qu’imposent l’impressionnisme de la notation dans le Journal des Goncourt, et plus encore les souvenirs inorganisés de l’autobiographie contemporaine ; l’art du démembrement, qu’il s’agisse du discours, pour l’ostentation spectaculaire d’un aphorisme, ou de la structure syntaxique, pour la sourde résonance des mots du poème. Quelques…
Literature --- Literary form. --- History and criticism. --- Literary form --- Appraisal of books --- Books --- Evaluation of literature --- Criticism --- Literary style --- Form, Literary --- Forms, Literary --- Forms of literature --- Genre (Literature) --- Genre, Literary --- Genres, Literary --- Genres of literature --- Literary forms --- Literary genetics --- Literary genres --- Literary types (Genres) --- History and criticism --- Appraisal --- Evaluation --- Literature - History and criticism. --- esthétique --- prose --- brièveté --- ellipse --- récit lacunaire --- stratégie
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Die Ellipse ein Problem der Sprachtheorie und der Grammatikschreibung
Grammar --- German language --- Grammar, Comparative and general --- Ellipsis --- -Grammar, Comparative and general --- -Comparative grammar --- Grammar, Philosophical --- Grammar, Universal --- Language and languages --- Philosophical grammar --- Linguistics --- Philology --- Ashkenazic German language --- Hochdeutsch --- Judaeo-German language (German) --- Judendeutsch language --- Judeo-German language (German) --- Jüdisch-Deutsch language --- Jüdischdeutsch language --- Germanic languages --- Grammar, Comparative --- -Ellipsis --- Ellipsis (Grammar) --- Elliptical constructions --- Syntax --- Duits. Ellipsen. --- Ellipses. --- Allemand [Langue]. Ellipses. --- Ellipsen. --- Ellipsis. --- German language - Ellipsis --- Grammar, Comparative and general - Ellipsis --- DEUTSCHE SPRACHE --- SYNTAX --- ELLIPSE --- STILISTIK
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Art --- anno 1900-1999 --- anno 1800-1899 --- Art, German --- Art, Modern --- ABR-Stuttgart (Group of artists) --- Bewegung Nurr (Group of artists) --- Blaue Reiter (Group of artists) --- Blaue Vier (Group of artists) --- Die Sieben (Group of artists) --- Ellipse (Group of artists) --- Gruppe Kranich (Group of artists) --- Künstlergruppe Chemnitz --- Neben E1N Ander (Group of artists) --- Pathetiker (Group of artists) --- Art, German - 19th century --- Art, German - 20th century
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English language --- Anglais (Langue) --- Style. --- Ellipsis. --- Spoken English. --- Written English. --- Stylistique --- Ellipse --- Anglais parlé --- Anglais écrit --- Ellipsis --- Spoken English --- Written English --- Variation --- Style --- 802.0-56 --- Engels: syntaxis; semantiek --- Variation. --- 802.0-56 Engels: syntaxis; semantiek --- Anglais parlé --- Anglais écrit --- Written communication --- English literature --- Colloquial English --- Dialects --- Metrics and rhythmics --- Rhetoric --- Germanic languages --- English language - Ellipsis --- English language - Spoken English --- English language - Written English --- English language - Variation --- English language - Style
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