{"id":10029,"date":"2023-01-18T21:50:43","date_gmt":"2023-01-18T12:50:43","guid":{"rendered":"https:\/\/pandanote.info\/?p=10029"},"modified":"2023-01-19T21:25:11","modified_gmt":"2023-01-19T12:25:11","slug":"free-wifi%e3%81%b8%e3%81%ae%e3%82%a2%e3%82%af%e3%82%bb%e3%82%b9%e3%82%92%e5%be%97%e3%82%8b%e3%81%9f%e3%82%81%e3%81%ae%e7%a9%8d%e5%88%86%e8%a8%88%e7%ae%97%e3%80%82","status":"publish","type":"post","link":"https:\/\/pandanote.info\/?p=10029","title":{"rendered":"FREE WIFI\u3078\u306e\u30a2\u30af\u30bb\u30b9\u3092\u5f97\u308b\u305f\u3081\u306e\u7a4d\u5206\u8a08\u7b97\u3002"},"content":{"rendered":"<h2>\u306f\u3058\u3081\u306b<\/h2>\n<p>Twitter\u306e\u30bf\u30a4\u30e0\u30e9\u30a4\u30f3\u306b\u6642\u3005\u6d41\u308c\u3066\u304f\u308b\u3053\u3068\u304c\u3042\u308bFREE WIKI\u306e\u30d1\u30b9\u30ef\u30fc\u30c9\u3092\u5f97\u308b\u305f\u3081\u306e\u7a4d\u5206\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3057\u307e\u3057\u305f\u3002<\/p>\n<h2>\u7a4d\u5206\u5f0f<\/h2>\n<p>\u554f\u984c\u306e\u7a4d\u5206\u5f0f\u306f\u3053\u3061\u3089\u3067\u3059\u2193<\/p>\n<blockquote class=\"twitter-tweet\">\n<p lang=\"zxx\" dir=\"ltr\"><a href=\"https:\/\/t.co\/FB8I08vrAO\">pic.twitter.com\/FB8I08vrAO<\/a><\/p>\n<p>&mdash; NO CONTEXT HUMANS \ud83d\udc64 (@HumansNoContext) <a href=\"https:\/\/twitter.com\/HumansNoContext\/status\/1614917894202089477?ref_src=twsrc%5Etfw\">January 16, 2023<\/a><\/p><\/blockquote>\n<p> <script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script><\/p>\n<p>\u5f0f\u306e\u53f3\u5074\u306e\u5e73\u65b9\u6839\u306e\u4e2d\u306b$dx$\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u306e\u306f\u304a\u305d\u3089\u304f\u306f\u4f55\u304b\u306e\u9593\u9055\u3044\u306a\u306e\u3060\u308d\u3046\u3068\u601d\u3046\u3053\u3068\u306b\u3057\u3066\u3001<\/p>\n<p>\\begin{align}<br \/>\nI &#038;= \\int_{-2}^{2}\\left(x^3\\cos\\frac{x}{2}+\\frac{1}{2}\\right)\\sqrt{4-x^2}\\,dx\\label{eq:firstform}<br \/>\n\\end{align}<\/p>\n<p>\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3057\u307e\u3059\u3002<\/p>\n<h2>\u8a08\u7b97<\/h2>\n<h3>\u5076\u95a2\u6570\u3068\u5947\u95a2\u6570<\/h3>\n<p>\u307e\u305a\u3001(\\ref{eq:firstform})\u5f0f\u53f3\u8fba\u306e\u62ec\u5f27\u3092\u5c55\u958b\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<p>\u3059\u308b\u3068\u2026<\/p>\n<p>\\begin{align}<br \/>\nI &#038;= \\int_{-2}^{2}x^3\\sqrt{4-x^2}\\cos\\frac{x}{2}\\,dx+\\int_{-2}^{2}\\frac{1}{2}\\sqrt{4-x^2}\\,dx\\label{eq:secondform}<br \/>\n\\end{align}<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>(\\ref{eq:secondform})\u5f0f\u53f3\u8fba\u7b2c1\u9805\u306e\u4e0d\u5b9a\u7a4d\u5206\u3092\u6c42\u3081\u308b\u306e\u306f\u96e3\u3057\u305d\u3046\u306a\u306e\u3067\u3001\u7a4d\u5206\u306e\u533a\u9593\u306b\u7740\u76ee\u3059\u308b\u3068\u3001$[-2,2]$\u3068\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u7a4d\u5206\u533a\u9593\u304c$[-a,a] (a \\gt 0)$\u306e\u5f62\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u306e\u3067\u3001\u7b2c1\u9805\u306e\u88ab\u7a4d\u5206\u95a2\u6570\u304c\u5076\u95a2\u6570\u3084\u5947\u95a2\u6570\u3060\u3063\u305f\u308a\u3057\u306a\u3044\u304b\u3069\u3046\u304b\u8abf\u3079\u307e\u3059\u3002<\/p>\n<p>\u7b2c1\u9805\u306e\u88ab\u7a4d\u5206\u95a2\u6570\u304c\u5076\u95a2\u6570\u3084\u5947\u95a2\u6570\u3060\u3063\u305f\u308a\u3057\u305f\u5834\u5408\u306b\u306f\u305d\u308c\u3092\u5229\u7528\u3057\u3066\u7a4d\u5206\u8a08\u7b97\u3092\u56de\u907f\u3057\u3088\u3046\u3068\u3044\u3046\u76ee\u8ad6\u898b\u3067\u3059\u3002<\/p>\n<p>\u7b2c1\u9805\u306e\u88ab\u7a4d\u5206\u95a2\u6570\u306f\u3001<\/p>\n<p>\\begin{align}<br \/>\nf_1(x) &#038;= x^3 \\label{eq:xcubed} \\cr \\label{eq:firstfactor}<br \/>\nf_2(x) &#038;= \\sqrt{4-x^2} \\cr \\label{eq:secondfactor}<br \/>\nf_3(x) &#038;= \\cos \\frac{x}{2} \\cr \\label{eq:thirdfactor}<br \/>\n\\end{align}<\/p>\n<p>\u3068\u304a\u304f\u3068\u3001<\/p>\n<p>\\begin{align}<br \/>\nI &#038;= f_1(x)f_2(x)f_3(x) \\label{eq:fff}<br \/>\n\\end{align}<\/p>\n<p>\u306e\u5f62\u306b\u66f8\u3051\u3066\u3001\u304b\u3064$f_1(x)$\u306f\u5947\u95a2\u6570\u3001$f_2(x)$\u53ca\u3073$f_3(x)$\u306f\u5076\u95a2\u6570\u3067\u3042\u308b\u306e\u3067\u3001$I$\u306f1\u500b\u306e\u5947\u95a2\u6570\u30682\u500b\u306e\u5076\u95a2\u6570\u306e\u7a4d\u3068\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>1\u500b\u306e\u5947\u95a2\u6570\u30682\u500b\u306e\u5076\u95a2\u6570\u306e\u7a4d\u306f\u5947\u95a2\u6570\u306b\u306a\u308b\u3053\u3068\u3068\u3001\u9023\u7d9a\u306a\u5947\u95a2\u6570$f(x)$\u3067\u3042\u308c\u3070\u3001<\/p>\n<p>\\begin{align}<br \/>\n\\int_{-a}^{a}f(x)dx &#038;= 0 \\label{eq:oddfunc}<br \/>\n\\end{align}<\/p>\n<p>\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u304c\u5229\u7528\u3067\u304d\u307e\u3059\u306e\u3067\u3001(\\ref{eq:oddfunc})\u5f0f\u3088\u308a\u3001<\/p>\n<p>\\begin{align}<br \/>\n\\int_{-2}^{2}x^3\\sqrt{4-x^2}\\cos\\frac{x}{2}\\,dx &#038;= 0 \\label{eq:firstpart}<br \/>\n\\end{align}<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u6b21\u306e\u9805<\/h3>\n<p>(\\ref{eq:secondform})\u5f0f\u53f3\u8fba\u7b2c1\u9805\u304c0\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u305f\u3068\u3053\u308d\u3067\u3001<\/p>\n<p>\\begin{align}<br \/>\nI &#038;= \\int_{-2}^{2}\\frac{1}{2}\\sqrt{4-x^2}\\,dx\\label{eq:thirdform}<br \/>\n\\end{align}<\/p>\n<p>\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>(\\ref{eq:thirdform})\u5f0f\u306e\u53f3\u8fba\u306f\u5076\u95a2\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u5229\u7528\u3057\u3066\u3001\u7a4d\u5206\u533a\u9593\u3092\u8a08\u7b97\u3057\u3084\u3059\u3044\u5f62\u306b\u5909\u5f62\u3057\u307e\u3059\u3002<\/p>\n<p>\\begin{align}<br \/>\nI &#038;= \\int_{0}^{2}\\sqrt{4-x^2}\\,dx\\label{eq:fourthform}<br \/>\n\\end{align}<\/p>\n<p>\u6b21\u306b\u3001$x = 2\\sin\\theta$\u3068\u304a\u304d\u3001$dx=2\\cos\\theta\\,d\\theta$\u3067\u3042\u308b\u3053\u3068\u3092\u5229\u7528\u3059\u308b\u3068\u2026<\/p>\n<p>\\begin{align}<br \/>\nI &#038;= \\int_{0}^{\\frac{\\pi}{2}}2\\cos\\theta\\sqrt{4-4\\sin^2\\theta}\\,d\\theta \\nonumber \\cr<br \/>\n&#038;= 4\\int_{0}^{\\frac{\\pi}{2}}\\cos\\theta\\sqrt{1-\\sin^2\\theta}\\,d\\theta \\nonumber \\cr<br \/>\n&#038;= 4\\int_{0}^{\\frac{\\pi}{2}}\\cos^2\\theta\\,d\\theta \\label{eq:fifthform}<br \/>\n\\end{align}<\/p>\n<p>\u3055\u3089\u306b\u3001\u534a\u89d2\u306e\u516c\u5f0f\u3092\u7528\u3044\u3066(\\ref{eq:fifthform})\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3068\u3001<\/p>\n<p>\\begin{align}<br \/>\nI &#038;= 2\\int_{0}^{\\frac{\\pi}{2}}(1+\\cos 2\\theta)\\,d\\theta \\nonumber \\cr<br \/>\n&#038;= 2\\left[ \\theta + \\frac{\\sin 2\\theta}{2} \\right]_{0}^{\\frac{\\pi}{2}} \\nonumber \\cr<br \/>\n&#038;= \\pi \\label{eq:finalanswer}<br \/>\n\\end{align}<\/p>\n<p>\u3068\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002$\\blacksquare$<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u4e00\u756a\u8a08\u7b97\u304c\u96e3\u3057\u3044\u3068\u601d\u308f\u308c\u305f\u9805\u306b\u3064\u3044\u3066\u306f\u8a08\u7b97\u306e\u5fc5\u8981\u304c\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3068\u3001\u3042\u3068\u306f\u9ad8\u6821\u6570\u5b66\u306e\u7bc4\u56f2\u5185\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>(\\ref{eq:fourthform})\u5f0f\u304c\u300c\u534a\u5f842\u3067\u4e2d\u5fc3\u89d2\u304c$\\dfrac{\\pi}{2}$\u306e\u6247\u5f62(\u4e0b\u56f3\u306e\u6c34\u8272\u306e\u90e8\u5206)\u306e\u9762\u7a4d\u300d\u3092\u8868\u3059\u3053\u3068\u304c\u308f\u304b\u308c\u3070\u3001\u7a4d\u5206\u8a08\u7b97\u3067\u3055\u3048\u3082\u5fc5\u8981\u3067\u306f\u306a\u304b\u3063\u305f\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n<p><a href=\"https:\/\/pandanote.info\/?attachment_id=10035\" rel=\"attachment wp-att-10035\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pandanote.info\/wordpress\/wp-content\/uploads\/2023\/01\/circle_scene1.png\" alt=\"\" width=\"313\" height=\"281\" class=\"alignnone size-full wp-image-10035\" srcset=\"https:\/\/pandanote.info\/wordpress\/wp-content\/uploads\/2023\/01\/circle_scene1.png 313w, https:\/\/pandanote.info\/wordpress\/wp-content\/uploads\/2023\/01\/circle_scene1-300x269.png 300w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><\/a><\/p>\n<p>\u3068\u3053\u308d\u3067\u3001&#8221;the first digits&#8221;\u3063\u3066\u4f55\u6841\u307e\u3067\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u306d\u3002<\/p>\n<p>\u304b\u306a\u308a\u6c17\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u8a18\u4e8b\u306f\u4ee5\u4e0a\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u306f\u3058\u3081\u306b Twitter\u306e\u30bf\u30a4\u30e0\u30e9\u30a4\u30f3\u306b\u6642\u3005\u6d41\u308c\u3066\u304f\u308b\u3053\u3068\u304c\u3042\u308bFREE WIKI\u306e\u30d1\u30b9\u30ef\u30fc\u30c9\u3092\u5f97\u308b\u305f\u3081\u306e\u7a4d\u5206\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3057\u307e\u3057\u305f\u3002 \u7a4d\u5206\u5f0f \u554f\u984c\u306e\u7a4d\u5206\u5f0f\u306f\u3053\u3061\u3089\u3067\u3059\u2193 pic.twitter.com\/FB8I08vrAO &mdash; NO CONTEXT HUMANS \ud83d\udc64 (@HumansNoContext) January 16, 2023 \u5f0f\u306e\u53f3\u5074\u306e\u5e73\u65b9\u6839\u306e\u4e2d\u306b$dx$\u304c\u542b\u307e\u308c\u3066\u3044\u2026 <span class=\"read-more\"><a href=\"https:\/\/pandanote.info\/?p=10029\">Read More &raquo;<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":10035,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-10029","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-13"],"_links":{"self":[{"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/posts\/10029","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pandanote.info\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10029"}],"version-history":[{"count":8,"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/posts\/10029\/revisions"}],"predecessor-version":[{"id":10038,"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/posts\/10029\/revisions\/10038"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/media\/10035"}],"wp:attachment":[{"href":"https:\/\/pandanote.info\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pandanote.info\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pandanote.info\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}