{"id":4804,"date":"2023-01-05T11:38:35","date_gmt":"2023-01-05T02:38:35","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=4804"},"modified":"2023-03-14T16:47:55","modified_gmt":"2023-03-14T07:47:55","slug":"%e9%9d%99%e9%9b%bb%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b%e9%9a%9b%e3%81%ab%e4%bd%bf%e3%81%a3%e3%81%9f%e7%a9%8d%e5%88%86%e3%82%92%e4%ba%ba%e5%8a%9b%e3%81%a7%e6%b1%82%e3%82%81%e3%81%a6%e3%81%bf","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/4804\/","title":{"rendered":"\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092\u4eba\u529b\u3067\u6c42\u3081\u3066\u307f\u308b\uff1a\u7b2c3\u8a71"},"content":{"rendered":"

\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u306f Maxima \u3092\u6570\u5b66\u516c\u5f0f\u96c6\u3068\u3057\u3066\u4f7f\u3046\u3053\u3068\u3067\u78ba\u8a8d\u3067\u304d\u3066\u3044\u308b<\/a>\u304c\uff0cMaxima \u3067\u89e3\u6790\u7684\u306b\u7a4d\u5206\u3067\u304d\u308b\u3053\u3068\u304c\u308f\u304b\u308c\u3070\uff0c\u4eba\u529b\u3067\u3082\u89e3\u3044\u3066\u307f\u305f\u304f\u306a\u308b\u3082\u306e\u3002\u305d\u306e\u30b7\u30ea\u30fc\u30ba\u7b2c3\u8a71\u306f\uff0c\u4e00\u69d8\u306a\u9762\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/a>\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3002\u96fb\u78c1\u6c17\u5b66\u3068\u3044\u3046\u3088\u308a\u306f\u7406\u5de5\u7cfb\u306e\u6570\u5b66B\uff08\u5fae\u5206\u7a4d\u5206\uff09\u306e\u6f14\u7fd2\u554f\u984c\u7528\u306b\u3002<\/p>\n

<\/p>\n

\u4e00\u69d8\u306a\u9762\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/a>\u3067\u4f7f\u3063\u305f\u7a4d\u5206<\/h3>\n

$$\\displaystyle\\int_{-\\infty}^{\\infty}\\frac{1}{x^2 + (y-y’)^2} dy’ = \\frac{\\pi}{|x|}$$<\/p>\n

\u3053\u308c\u306f\u7c21\u5358\u3067\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7f6e\u63db\u7a4d\u5206\u3067\u3044\u3051\u308b\u3002\u5909\u6570\u3092\u3061\u3087\u3063\u3068\u5909\u3048\u3066\uff0c\u3088\u308a\u4e00\u822c\u7684\u30b7\u30c1\u30e5\u30a8\u30fc\u30b7\u30e7\u30f3\u306b\u3082\u4f7f\u3048\u308b\u3088\u3046\u306b\u3057\u3066<\/p>\n

\\begin{eqnarray}
\n\\int_{-\\infty}^{\\infty}\\frac{1}{x^2 + (y-y’)^2} dy’ &\\Rightarrow& \\int_{-\\infty}^{\\infty}\\frac{1}{a^2 + Y^2} dY
\n\\end{eqnarray}<\/p>\n

\u3068\u3057\u3066\uff0c$Y \\equiv \\sqrt{a^2} \\tan \\theta= |a| \\tan \\theta$ \u3068\u304a\u304f\u3068\uff0c$\\displaystyle dY = \\frac{|a|}{\\cos^2\\theta} d\\theta$\u3002\u3057\u305f\u304c\u3063\u3066<\/p>\n

\\begin{eqnarray}
\n\\int_{-\\infty}^{\\infty}\\frac{1}{a^2 + Y^2} dY &=& \\int_{-\\frac{\\pi}{2}}^{\\frac{\\pi}{2}} \\frac{1}{a^2} \\frac{1}{1 + \\tan^2 \\theta} \\frac{|a|}{\\cos^2\\theta} d\\theta \\\\
\n&=& \\frac{1}{|a|} \\int_{-\\frac{\\pi}{2}}^{\\frac{\\pi}{2}} d\\theta\\\\
\n&=& \\frac{\\pi}{|a|}
\n\\end{eqnarray}<\/p>\n

$a \\Rightarrow x$ \u3068\u304a\u3051\u3070<\/p>\n

$$\\displaystyle\\int_{-\\infty}^{\\infty}\\frac{1}{x^2 + (y-y’)^2} dy’ = \\frac{\\pi}{|x|}$$<\/p>\n","protected":false},"excerpt":{"rendered":"

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\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[19],"tags":[],"class_list":["post-4804","post","type-post","status-publish","format-standard","hentry","category-19","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/4804","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=4804"}],"version-history":[{"count":6,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/4804\/revisions"}],"predecessor-version":[{"id":4810,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/4804\/revisions\/4810"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=4804"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=4804"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=4804"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}