{"id":24935,"date":"2020-08-25T10:16:29","date_gmt":"2020-08-25T09:16:29","guid":{"rendered":"https:\/\/www.istegroup.com\/?post_type=product&#038;p=24935"},"modified":"2024-01-03T13:43:39","modified_gmt":"2024-01-03T13:43:39","slug":"des-structures-algebriques-aux-tenseurs","status":"publish","type":"product","link":"https:\/\/www.istegroup.com\/fr\/produit\/des-structures-algebriques-aux-tenseurs\/","title":{"rendered":"Des structures alg\u00e9briques aux tenseurs"},"content":{"rendered":"<p>Dans de nombreux domaines scientifiques, les tenseurs jouent un r\u00f4le central pour la repr\u00e9sentation, l\u2019analyse, la classification et la fusion de donn\u00e9es massives multidimensionnelles et multimodales.<\/p>\n<p>Cet ouvrage fait un rappel des structures alg\u00e9briques standards avant d\u2019introduire les espaces de Banach et de Hilbert. Une attention particuli\u00e8re est port\u00e9e \u00e0 l\u2019approche hilbertienne pour la repr\u00e9sentation de signaux et l\u2019approximation de fonctions, \u00e0 l\u2019aide de s\u00e9ries de Fourier et de polyn\u00f4mes orthogonaux. Les matrices et hypermatrices associ\u00e9es aux applications lin\u00e9aires, bilin\u00e9aires et multilin\u00e9aires sont ensuite plus particuli\u00e8rement \u00e9tudi\u00e9es et des r\u00e9sultats sur les matrices partitionn\u00e9es sont pr\u00e9sent\u00e9s. Les notions de d\u00e9composition, de rang, de valeur propre, de valeur singuli\u00e8re et de d\u00e9pliement d\u2019un tenseur sont introduites en soulignant les similitudes et les diff\u00e9rences entre matrices et tenseurs d\u2019ordre \u00e9lev\u00e9.<\/p>\n<p><em>Des structures alg\u00e9briques aux tenseurs<\/em> a pour objectif d\u2019introduire de fa\u00e7on didactique les outils matriciels et tensoriels.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dans de nombreux domaines scientifiques, les tenseurs jouent un r\u00f4le central pour la repr\u00e9sentation, l\u2019analyse, la classification et la fusion de donn\u00e9es massives multidimensionnelles et multimodales. Cet ouvrage fait un rappel des structures alg\u00e9briques standards avant d\u2019introduire les espaces de Banach et de Hilbert. Une attention particuli\u00e8re est port\u00e9e \u00e0 l\u2019approche hilbertienne pour la repr\u00e9sentation [&hellip;]<\/p>\n","protected":false},"featured_media":24950,"template":"","meta":{"_acf_changed":false,"_links_to":"","_links_to_target":""},"product_brand":[],"product_cat":[677],"product_tag":[],"class_list":{"0":"post-24935","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-ondes-12506522","8":"first","9":"instock","10":"shipping-taxable","11":"purchasable","12":"product-type-variable"},"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Des structures alg\u00e9briques aux tenseurs - ISTE Group<\/title>\n<meta name=\"description\" content=\"Des structures alg\u00e9briques aux tenseurs fait un rappel des structures alg\u00e9briques standards avant d\u2019introduire les espaces de Banach et de Hilbert.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.istegroup.com\/en\/produit\/des-structures-algebriques-aux-tenseurs\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Des structures alg\u00e9briques aux tenseurs - 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