{"id":1153,"date":"2020-04-03T11:50:16","date_gmt":"2020-04-03T09:50:16","guid":{"rendered":"https:\/\/blogs.futura-sciences.com\/lehning\/?p=1153"},"modified":"2020-04-15T09:49:33","modified_gmt":"2020-04-15T07:49:33","slug":"linversion-et-la-chasse-au-lion","status":"publish","type":"post","link":"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/","title":{"rendered":"L&#8217;inversion et la chasse au  lion"},"content":{"rendered":"<p>Hector P\u00e9tard, gendre du divin Bourbaki, math\u00e9maticien de g\u00e9nie, sut appliquer les transformations g\u00e9om\u00e9triques les plus abstraites \u00e0 des domaines aussi concrets que la cyn\u00e9g\u00e9tique.<\/p>\n<h2>La chasse au lion<\/h2>\n<p><span style=\"font-family: 'Arial',sans-serif\">Le lion est un animal constamment sur ses gardes. Comment l\u2019attraper vivant sans \u00e9veiller ses soup\u00e7ons\u00a0? Hector P\u00e9tard, illustre math\u00e9maticien du XX<sup>e<\/sup> si\u00e8cle, apporta des r\u00e9ponses magistrales \u00e0 ce probl\u00e8me. La principale concerne la <\/span><span style=\"font-family: 'Arial',sans-serif\">g\u00e9om\u00e9trie.<\/span><\/p>\n<p><span style=\"font-family: 'Arial',sans-serif\">L\u2019id\u00e9e g\u00e9niale d\u2019Hector P\u00e9tard pour chasser le lion sans danger est de disposer d\u2019une cage dans laquelle il s\u2019enferme seul. A l\u2019instant initial, le lion est donc \u00e0 l\u2019ext\u00e9rieur. Il op\u00e8re alors une transformation \u00e9changeant int\u00e9rieur et ext\u00e9rieur de la cage. De ce fait, le lion se trouve dans la cage et lui \u00e0 l\u2019ext\u00e9rieur. L\u2019id\u00e9e g\u00e9n\u00e9rale \u00e9tant trouv\u00e9e, quelle cage et quelle transformation utiliser\u00a0?<\/span><\/p>\n<p><span style=\"font-family: 'Arial',sans-serif\">L\u2019\u00e9tude des transformations g\u00e9om\u00e9triques donne la solution\u00a0: la cage doit \u00eatre sph\u00e9rique et la transformation, une inversion, dont on comprend \u00e0 ce propos le nom. Il s\u2019agit d\u2019inverser cage et monde ext\u00e9rieur\u00a0!<\/span><\/p>\n<figure id=\"attachment_1156\" aria-describedby=\"caption-attachment-1156\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1156 size-medium\" src=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/ChasseLion2-Converti.eps_-300x200.jpg\" alt=\"\" width=\"300\" height=\"200\" srcset=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/ChasseLion2-Converti.eps_-300x200.jpg 300w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/ChasseLion2-Converti.eps_.jpg 427w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-1156\" class=\"wp-caption-text\">La transformation qui \u00e0 M associe M\u2019 v\u00e9rifiant : OM.OM&#8217;=R\u00b2 \u00e9change ext\u00e9rieur (en vert) et int\u00e9rieur (en orange) de la sph\u00e8re de centre O et de rayon R.<\/figcaption><\/figure>\n<h2><span style=\"font-family: 'Arial',sans-serif\">Capture du lion<\/span><\/h2>\n<p><span style=\"font-family: 'Arial',sans-serif\">Prenez une inversion \u00e0 effet limit\u00e9 afin d\u2019\u00e9viter la surpopulation dans votre cage. Placez-la \u00e0 proximit\u00e9 du lion, avec vous \u00e0 l\u2019int\u00e9rieur. Op\u00e9rez l\u2019inversion. Vous vous trouvez \u00e0 l\u2019ext\u00e9rieur, et le lion \u00e0 l\u2019int\u00e9rieur. Malgr\u00e9 la simplicit\u00e9 de la m\u00e9thode, nous vous conseillons toutefois de l\u2019essayer d\u2019abord sur un chat domestique avant de vous lancer dans la chasse au lion. Je d\u00e9cline toute responsabilit\u00e9 en cas d\u2019accident de chasse.<\/span><\/p>\n<p><span style=\"font-family: 'Arial',sans-serif\">Cette m\u00e9thode fait honneur \u00e0 l\u2019esprit math\u00e9matique le plus abstrait. Mais le g\u00e9nie d\u2019Hector P\u00e9tard ne s\u2019arr\u00eatait pas l\u00e0. Il sut imaginer des m\u00e9thodes purement physiques, par exemple celle-ci que nous vous conseillons\u00a0: un lion est de masse non nulle si bien qu\u2019il a des moments d\u2019inertie. Attendez l\u2019un d\u2019eux. Quand il se produira, vous n\u2019aurez aucun mal \u00e0 l\u2019attraper !<\/span><\/p>\n<h2>L&#8217;humour math\u00e9matique<\/h2>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_1159\" aria-describedby=\"caption-attachment-1159\" style=\"width: 200px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1159 size-full\" src=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/ralphboas.jpg\" alt=\"\" width=\"200\" height=\"240\" \/><figcaption id=\"caption-attachment-1159\" class=\"wp-caption-text\">Ralph P. Boas (1912-1992), chasseur de lions<\/figcaption><\/figure>\n<p><span style=\"font-family: 'Arial',sans-serif\">Cet article sur la chasse au lion est un exemple caract\u00e9ristique d\u2019humour math\u00e9matique. Celui-ci frise souvent l\u2019absurde. Hector P\u00e9tard est le pseudonyme de Ralph P. Boas. Ses articles les plus cocasses ont \u00e9t\u00e9 rassembl\u00e9s par la <em>Mathematical Association of America<\/em> dans <em>Lion hunting &amp; other mathematical pursuits<\/em>. Contemporain de la grande \u00e9poque Bourbachique (1930-1960), il s\u2019est imagin\u00e9 converger en justes noces avec la fille du ma\u00eetre polyc\u00e9phale. Son faire-part de mariage \u00e9voque ce temps b\u00e9ni des structures abstraites. Ma vocation de vulgarisateur des math\u00e9matiques est n\u00e9e de leurs d\u00e9g\u00e2ts collat\u00e9raux, quand leurs pros\u00e9lytes ont cr\u00e9\u00e9 un enseignement \u00ab\u00a0moderne\u00a0\u00bb des math\u00e9matiques, oubliant leurs applications. Nous d\u00e9dions cette sonnerie aux morts \u00e0 notre magistral chasseur de lions.<\/span><\/p>\n<h2>Faire-part de mariage de Betti Bourbaki<\/h2>\n<p><span style=\"font-size: 12.0pt;font-family: 'Arial',sans-serif\">Monsieur NICOLAS BOURBAKI, Membre Canonique de l\u2019Acad\u00e9mie Royale de Pold\u00e9vie, <\/span><span style=\"font-size: 12.0pt;font-family: 'Arial',sans-serif\">Grand Ma\u00eetre de l\u2019Ordre des Compacts, Conservateur des Uniformes, Lord Protecteur des Filtres, et Madame, n\u00e9e BIUNIVOQUE, ont l\u2019honneur de vous faire part du mariage de leur fille BETTI avec Monsieur HECTOR PETARD, Administrateur D\u00e9l\u00e9gu\u00e9 de la Soci\u00e9t\u00e9 des Structures Induites, Membre Dipl\u00f4m\u00e9 de l\u2019Institute of Class Field Archeologist, secr\u00e9taire de l\u2019\u0152uvre du Sou du Lion.<\/span><\/p>\n<p><span style=\"font-family: 'Arial',sans-serif\">Monsieur ERSATZ STANISLAS PONDICZERY, Complexe de Recouvrement de Premi\u00e8re Classe en retraite, Pr\u00e9sident du Home de R\u00e9\u00e9ducation des Faiblement Convergents, Chevalier des Quatre U, Grand Op\u00e9rateur du Groupe Hyperbolique, Knight of the Total Order of the Golden Mean, L.U.B., C.C., H.L.C., et Madame, n\u00e9e COMPACTENSOI, ont l\u2019honneur de vous faire part du mariage de leur pupille HECTOR PETARD avec Mademoiselle BETTI BOURBAKI, ancienne \u00e9l\u00e8ve des Bien Ordonn\u00e9es de Besse.<\/span><\/p>\n<p><span style=\"font-family: 'Arial',sans-serif\">L\u2019isomorphisme trivial leur sera donn\u00e9 par le P. Adique, de l\u2019Ordre des Diophantiens, en la Cohomologie principale de la vari\u00e9t\u00e9 universelle le 3 Cartembre, an VI, \u00e0 l\u2019heure habituelle.<\/span><\/p>\n<p><span style=\"font-family: 'Arial',sans-serif\">L\u2019orgue sera tenu par Monsieur Modulo, Assistant Simplexe de la Grassmannienne (lemme chant\u00e9 par la Schola Cartanorum). Le produit de la qu\u00eate sera vers\u00e9 int\u00e9gralement \u00e0 la maison de retraite des Pauvres Abstraits. La convergence sera assur\u00e9e. Apr\u00e8s la congruence, Monsieur et Madame BOURBAKI recevront dans leurs domaines fondamentaux. Sauterie avec le concours de la fanfare du 7<sup>e<\/sup> Corps Quotient. Tenue canonique (id\u00e9aux \u00e0 gauche \u00e0 la boutonni\u00e8re)<\/span><\/p>\n<p align=\"right\"><span style=\"font-family: 'Arial',sans-serif\">C.Q.F.D.<\/span><\/p>\n<p>&nbsp;<\/p>\n<!-- AddThis Advanced Settings generic via filter on the_content --><!-- AddThis Share Buttons generic via filter on the_content -->","protected":false},"excerpt":{"rendered":"<p>Hector P\u00e9tard, gendre du divin Bourbaki, math\u00e9maticien de g\u00e9nie, sut appliquer les transformations g\u00e9om\u00e9triques les plus abstraites \u00e0 des domaines aussi concrets que la cyn\u00e9g\u00e9tique. La chasse au lion Le lion est un animal constamment sur ses gardes. Comment l\u2019attraper vivant sans \u00e9veiller ses soup\u00e7ons\u00a0? Hector P\u00e9tard, illustre math\u00e9maticien du XXe si\u00e8cle, apporta des r\u00e9ponses &hellip; <a href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/\" class=\"more-link\">Continuer la lecture de <span class=\"screen-reader-text\">L&#8217;inversion et la chasse au  lion<\/span>  <span class=\"meta-nav\">&rarr;<\/span><\/a><!-- AddThis Advanced Settings generic via filter on get_the_excerpt --><!-- AddThis Share Buttons generic via filter on get_the_excerpt --><\/p>\n","protected":false},"author":12,"featured_media":1154,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[63,112],"tags":[416,418,419,417,420],"class_list":["post-1153","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-histoire","category-humour","tag-bourbaki","tag-chasse","tag-enseignement-des-mathematiques","tag-lion","tag-mathematiques-modernes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>L&#039;inversion et la chasse au lion, par Herv\u00e9 Lehning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"L&#039;inversion et la chasse au lion, par Herv\u00e9 Lehning\" \/>\n<meta property=\"og:description\" content=\"Hector P\u00e9tard, gendre du divin Bourbaki, math\u00e9maticien de g\u00e9nie, sut appliquer les transformations g\u00e9om\u00e9triques les plus abstraites \u00e0 des domaines aussi concrets que la cyn\u00e9g\u00e9tique. La chasse au lion Le lion est un animal constamment sur ses gardes. Comment l\u2019attraper vivant sans \u00e9veiller ses soup\u00e7ons\u00a0? Hector P\u00e9tard, illustre math\u00e9maticien du XXe si\u00e8cle, apporta des r\u00e9ponses &hellip; Continuer la lecture de L&#8217;inversion et la chasse au lion &rarr;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/\" \/>\n<meta property=\"og:site_name\" content=\"MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\" \/>\n<meta property=\"article:published_time\" content=\"2020-04-03T09:50:16+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-04-15T07:49:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/chasselion1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1708\" \/>\n\t<meta property=\"og:image:height\" content=\"1708\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/\",\"name\":\"L'inversion et la chasse au lion, par Herv\u00e9 Lehning\",\"isPartOf\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/chasselion1.jpg\",\"datePublished\":\"2020-04-03T09:50:16+00:00\",\"dateModified\":\"2020-04-15T07:49:33+00:00\",\"author\":{\"@id\":\"\"},\"breadcrumb\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/#primaryimage\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/chasselion1.jpg\",\"contentUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/03\/chasselion1.jpg\",\"width\":1708,\"height\":1708},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/04\/03\/linversion-et-la-chasse-au-lion\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"L&#8217;inversion et la chasse au lion\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\",\"name\":\"MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\",\"description\":\"Comment comprendre le monde moderne sans culture math\u00e9matique ? 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