{"id":40990,"date":"2024-08-17T12:20:28","date_gmt":"2024-08-17T12:20:28","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%AB%E3%82%B8%E3%83%A3%E3%83%B3%E3%83%89%E3%83%AB%E5%A4%9A%E9%A0%85%E5%BC%8F%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-08-17T12:20:28","modified_gmt":"2024-08-17T12:20:28","slug":"%E3%83%AB%E3%82%B8%E3%83%A3%E3%83%B3%E3%83%89%E3%83%AB%E5%A4%9A%E9%A0%85%E5%BC%8F%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=40990","title":{"rendered":"\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><p><strong>\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f\u306f\u3001<\/strong>\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3 y \u3067\u3059\u3002<\/p><p>\u3053\u3053\u3067\u3001 <i>l \u306f<\/i>\u591a\u9805\u5f0f\u306e\u6b21\u6570\u3092\u8868\u3059\u81ea\u7136\u6570\u3067\u3059\u3002<\/p><p>\u8f2a\u90ed<span><a href=\"https:\/\/science-hub.click\/?p=8542\">\u7a4d\u5206<\/a><\/span>\u306b\u3088\u3063\u3066\u305d\u308c\u3089\u3092\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p><p>\u3053\u3053\u3067\u3001<span>\u7b49\u9ad8\u7dda\u306f<\/span>\u539f\u70b9\u3092\u56f2\u307f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=81037\">\u6642\u8a08\u56de\u308a\u306b<\/a><\/span>\u53d6\u3089\u308c\u307e\u3059\u3002<\/p><p>\u6700\u521d\u306e\u591a\u9805\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p><ul><li><div class=\"math-formual notranslate\">$$ {P_{0}(x)=1 \\,} $$<\/div><\/li><li><div class=\"math-formual notranslate\">$$ {P_{1}(x)=x\\,} $$<\/div><\/li><li><div class=\"math-formual notranslate\">$$ {P_{2}(x)=\\frac{1}{2}(3x^{2}-1)\\,} $$<\/div><\/li><li><div class=\"math-formual notranslate\">$$ {P_{3}(x)=\\frac{1}{2}(5x^{3}-3x)\\,} $$<\/div><\/li><li><div class=\"math-formual notranslate\">$$ {P_{4}(x)=\\frac{1}{8}(35x^{4}-30x^{2}+3)\\,} $$<\/div><\/li><li><div class=\"math-formual notranslate\">$$ {P_{5}(x)=\\frac{1}{8}(63x^{5}-70x^{3}+15x)\\,} $$<\/div><\/li><\/ul><p>\u7570\u306a\u308b\u591a\u9805\u5f0f\u9593\u306e\u6f38\u5316\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002 <\/p><ul><li><div class=\"math-formual notranslate\">$$ {P_{n}(x)=\\frac{1}{n}((2n-1)xP_{n-1}(x) &#8211; (n-1)P_{n-2}(x))\\,} $$<\/div><\/li><\/ul><p>\u3053\u308c\u3089\u306e\u591a\u9805\u5f0f\u306f<span><a href=\"https:\/\/science-hub.click\/?p=69519\">\u30c9\u30c3\u30c8<\/a><\/span>\u7a4d\u306b\u76f4\u4ea4\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\varphi} $$<\/div>\u306b\u8a2d\u5b9a<div class=\"math-formual notranslate\">$$ {\\R[X]} $$<\/div>\u95a2\u4fc2\u306b\u3088\u308a: <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\varphi(P,\\, Q) = \\int_{-1}^{+1} P(x) Q(x)\\, dx} $$<\/div> \u3002<\/dd><\/dl><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D9%85%D8%AA%D8%B9%D8%AF%D8%AF%D8%A7%D8%AA_%D8%A7%D9%84%D8%AD%D8%AF%D9%88%D8%AF_%D9%84%D9%84%D9%88%D8%AC%D9%88%D9%86%D8%AF%D8%B1\">\u0645\u062a\u0639\u062f\u062f\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0644\u0644\u0648\u062c\u0648\u0646\u062f\u0631 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Polinomis_de_Legendre\">Polinomis de Legendre \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Legendrovy_polynomy\">Legendrovy polynomy \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/da.wikipedia.org\/wiki\/Legendre-polynomium\">Legendre-polynomium \u2013 danois<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Legendre-Polynom\">Legendre-Polynom \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Legendre_polynomials\">Legendre polynomials \u2013 anglais<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u3010\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u95a2\u6570\u2460\u3011\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f \u524d\u7de8\uff5e\u7b2c\uff12\u7ae0\u306e\u30b9\u30bf\u30fc\u30c8\u3067\u3059\uff01\uff5e\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/0y2YNcEf-6E?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f\u306f\u3001\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3 y \u3067\u3059\u3002 \u3053\u3053\u3067\u3001 l \u306f\u591a\u9805\u5f0f\u306e\u6b21\u6570\u3092\u8868\u3059\u81ea\u7136\u6570\u3067\u3059\u3002 \u8f2a\u90ed\u7a4d\u5206\u306b\u3088\u3063\u3066\u305d\u308c\u3089\u3092\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 \u3053\u3053\u3067\u3001\u7b49\u9ad8\u7dda\u306f\u539f\u70b9\u3092\u56f2\u307f\u3001\u6642\u8a08\u56de\u308a\u306b\u53d6\u3089\u308c\u307e\u3059\u3002 \u6700\u521d\u306e\u591a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":40991,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/GNcTXFb7Ipc\/0.jpg","fifu_image_alt":"\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[11,13,14,10,18837,25845,12,5485,16,15],"class_list":["post-40990","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-legendre","tag-polynome-de-legendre","tag-dossier","tag-polynome","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/40990"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=40990"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/40990\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/40991"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=40990"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=40990"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=40990"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}