{"id":33152,"date":"2024-08-04T17:26:00","date_gmt":"2024-08-04T17:26:00","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%88%E3%83%9D%E3%83%AD%E3%82%B8%E3%82%AB%E3%83%AB%E3%83%AA%E3%83%B3%E3%82%B0%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":"2024-08-04T17:26:00","modified_gmt":"2024-08-04T17:26:00","slug":"%E3%83%88%E3%83%9D%E3%83%AD%E3%82%B8%E3%82%AB%E3%83%AB%E3%83%AA%E3%83%B3%E3%82%B0%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=33152","title":{"rendered":"\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb \u30ea\u30f3\u30b0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><p>\u6570\u5b66\u3067\u306f\u3001<strong>\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb \u30ea\u30f3\u30b0\u306f<\/strong>\u3001\u6b21\u306e\u3088\u3046\u306a\u30c8\u30dd\u30ed\u30b8\u30fc\u3092\u6301\u3064\u30ea\u30f3\u30b0 ( <i>R<\/i> \u3001+\u3001\u00d7) \u3067\u3059\u3002 <\/p><ul><li><div class=\"math-formual notranslate\">$$ {(x , y) \\to x + y} $$<\/div>\u7d99\u7d9a\u7684\u3067\u3059<\/li><li><div class=\"math-formual notranslate\">$$ {x \\to &#8211; x} $$<\/div>\u7d99\u7d9a\u7684\u3067\u3059<\/li><li>( <div class=\"math-formual notranslate\">$$ {x , y) \\to xy} $$<\/div>\u7d99\u7d9a\u7684\u3067\u3059<\/li><\/ul><p>\u3053\u3053\u3067\u3001R <sup>2<\/sup>\u306f\u88fd\u54c1\u30c8\u30dd\u30ed\u30b8\u30fc\u3067\u63d0\u4f9b\u3055\u308c\u307e\u3059\u3002<\/p><h2><span>\u4f8b<\/span><\/h2><p>\u6709\u7406\u6570\u3001\u5b9f\u6570\u3001\u8907\u7d20\u6570\u3001p \u9032\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u30bb\u30c3\u30c8\u306f<\/a><\/span>\u3001\u53e4\u5178\u7684\u306a<span><a href=\"https:\/\/science-hub.click\/?p=76523\">\u30c8\u30dd\u30ed\u30b8\u30fc<\/a><\/span>\u306e\u30c8\u30dd\u30ed\u30b8\u30fc \u30ea\u30f3\u30b0\u3067\u3059 (\u6700\u521d\u306e 3 \u3064\u306f\u8ddd\u96e2\u3001\u6700\u5f8c\u306e\u306f p \u9032\u8ddd\u96e2)\u3002\u305d\u308c\u3089\u306f\u4f4d\u76f8\u4f53\u3067\u3059\u3089\u3042\u308a\u307e\u3059\u3002<\/p><p><span><a href=\"https:\/\/science-hub.click\/?p=101419\">\u4f4d\u76f8\u7a7a\u9593<\/a><\/span>E \u304b\u3089\u5b9f\u6570\u306e\u96c6\u5408\u307e\u3067\u306e\u9023\u7d9a\u95a2\u6570\u306e\u96c6\u5408\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=84749\">\u5358\u7d14\u53ce\u675f<\/a><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=33152\">\u30c8\u30dd\u30ed\u30b8\u30fc\u306e\u4f4d\u76f8\u30ea\u30f3\u30b0<\/a><\/span>\u3067\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb \u30ea\u30f3\u30b0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/RI-xt-aC76k\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2> <span>I\u9032\u30c8\u30dd\u30ed\u30b8\u30fc<\/span><\/h2><p><i>R \u304c<\/i>\u53ef\u63db\u74b0\u3067\u3042\u308a\u3001 <i>I<\/i>\u304c<i>R<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=50545\">\u30a4\u30c7\u30a2\u30eb<\/a><\/span>\u3067\u3042\u308b\u5834\u5408\u3001 <i>R<\/i>\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b<strong>I \u9032\u30c8\u30dd\u30ed\u30b8\u30fc<\/strong>\u306e\u30c8\u30dd\u30ed\u30b8\u30fc\u74b0\u3067\u3059\u3002 <i>R<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=106649\">\u90e8\u5206\u96c6\u5408<\/a><\/span><i>U \u306f<\/i>\u3001\u6b21\u306e\u3088\u3046\u306a<span><a href=\"https:\/\/science-hub.click\/?p=62281\">\u81ea\u7136\u6570<\/a><\/span><i>n \u304c<\/i>\u5b58\u5728\u3059\u308b\u5834\u5408\u306b\u9650\u308a\u3001\u958b\u304d\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {x + I^n \\subseteq  U} $$<\/div><\/dd><\/dl><p>\u3055\u3089\u306b\u3001 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\bigcap_{n \\in \\mathbb{N}}I^n = \\{0\\}} $$<\/div><\/dd><\/dl><p>\u3053\u306e\u5834\u5408\u3001 <i>R \u306f<\/i>\u72ec\u7acb\u7a7a\u9593\u307e\u305f\u306f\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u7a7a\u9593\u3067\u3059\u3002<\/p><p>\u76f8\u5bfe\u6574\u6570\u306e p \u9032\u30c8\u30dd\u30ed\u30b8\u306f\u3001 <i>I<\/i> = <i>p<\/i>\u306e<i>I<\/i>\u9032\u30c8\u30dd\u30ed\u30b8\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\Z} $$<\/div><\/p><p> <i>R<\/i>\u304c\u5206\u96e2\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001 <i>R<\/i>\u4e0a\u306b\u8ddd\u96e2\u3092\u8a98\u5c0e\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd> <span><i>d<\/i> ( <i>x<\/i> , <i>y<\/i> ) = 2 <sup>\u2212 <i>k<\/i><\/sup><\/span>\u3053\u3053\u3067\u3001 <i>k \u306f<\/i>\u6b21\u306e\u3088\u3046\u306a\u6700\u521d\u306e\u6574\u6570\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {x-y \\notin I^k} $$<\/div><\/dd><dd> d(x,y)= 0 \u306e\u5834\u5408<div class=\"math-formual notranslate\">$$ {x &#8211; y\\in I^k} $$<\/div>\u4efb\u610f\u306e\u6574\u6570<i>k<\/i>\u306b\u5bfe\u3057\u3066\u3002<\/dd><\/dl><p>\u6b21\u306b\u3001\u30b3\u30fc\u30b7\u30fc\u5217\u306b\u3064\u3044\u3066\u8a71\u3057\u3066\u3001\u74b0<i>R<\/i>\u306e\u88dc\u6570\u3092\u691c\u7d22\u3067\u304d\u307e\u3059\u3002<\/p><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb \u30ea\u30f3\u30b0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/YANX-MAy67c\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Topologick%C3%BD_okruh\">Topologick\u00fd okruh \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Topologischer_Ring\">Topologischer Ring \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Topological_ring\">Topological ring \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Anillo_topol%C3%B3gico\">Anillo topol\u00f3gico \u2013 espagnol<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/fa.wikipedia.org\/wiki\/%D8%AD%D9%84%D9%82%D9%87_%D8%AA%D9%88%D9%BE%D9%88%D9%84%D9%88%DA%98%DB%8C%DA%A9%DB%8C\">\u062d\u0644\u0642\u0647 \u062a\u0648\u067e\u0648\u0644\u0648\u0698\u06cc\u06a9\u06cc \u2013 persan<\/a><\/li><li><a class=\"notranslate\" href=\"https:\/\/ja.wikipedia.org\/wiki\/%E4%BD%8D%E7%9B%B8%E7%92%B0\">\u4f4d\u76f8\u74b0 \u2013 japonais<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30c8\u30dd\u30ed\u30b8\u30ab\u30eb \u30ea\u30f3\u30b0\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=\"\u516c\u958b\u30b7\u30f3\u30dd\u30b8\u30a6\u30e0\u3000\u300c\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u30c7\u30d0\u30a4\u30b9\u306e\u73fe\u5728\u3068\u672a\u6765\u300d10\/10\u3000\u958b\u4f1a\u306e\u3054\u6328\u62f6\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/5EfYIofG2c0?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>\u6570\u5b66\u3067\u306f\u3001\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb \u30ea\u30f3\u30b0\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u30c8\u30dd\u30ed\u30b8\u30fc\u3092\u6301\u3064\u30ea\u30f3\u30b0 ( R \u3001+\u3001\u00d7) \u3067\u3059\u3002 $$ {(x , y) \\to x + y} $$ \u7d99\u7d9a\u7684\u3067\u3059 $$ {x \\to &#8211; x} $$ \u7d99\u7d9a\u7684\u3067\u3059  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":33153,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/qAgungg5jpM\/0.jpg","fifu_image_alt":"\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb \u30ea\u30f3\u30b0\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[11,13,16073,33974,10,14,12,1618,16,15],"class_list":["post-33152","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-topologique","tag-anneau-topologique","tag-actualite","tag-news","tag-dossier","tag-anneau","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/33152"}],"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=33152"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/33152\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/33153"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=33152"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=33152"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=33152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}