{"id":10075,"date":"2023-02-15T22:17:30","date_gmt":"2023-02-15T13:17:30","guid":{"rendered":"https:\/\/pandanote.info\/?p=10075"},"modified":"2023-02-15T22:17:30","modified_gmt":"2023-02-15T13:17:30","slug":"%e5%86%86%e9%8c%90%e3%82%92%e5%9b%9e%e8%bb%a2%e4%bd%93%e3%81%a0%e3%81%a8%e8%80%83%e3%81%88%e3%82%8b%e3%81%93%e3%81%a8%e3%81%ab%e3%81%97%e3%81%a6%e3%80%81%e4%bd%93%e7%a9%8d%e3%82%92%e8%a8%88%e7%ae%97","status":"publish","type":"post","link":"https:\/\/pandanote.info\/?p=10075","title":{"rendered":"\u5186\u9310\u3092\u56de\u8ee2\u4f53\u3060\u3068\u8003\u3048\u308b\u3053\u3068\u306b\u3057\u3066\u3001\u4f53\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3002"},"content":{"rendered":"

\u306f\u3058\u3081\u306b<\/h2>\n

2023\u5e742\u6708\u306b\u305d\u308c\u307e\u3067\u7121\u6599\u3067\u5229\u7528\u3067\u304d\u3066\u3044\u305fTwitter\u306eAPI\u304c\u6709\u6599\u5316\u3055\u308c\u308b\u3068\u3044\u3046\u30cb\u30e5\u30fc\u30b9\u304c\u5831\u3058\u3089\u308c\u307e\u3057\u305f\u3002<\/p>\n

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\u3057\u304b\u3057\u3001Twitter API\u306e\u6709\u6599\u5316\u81ea\u4f53\u306e\u958b\u59cb\u65e5\u304c2\u5ea6\u306b\u308f\u305f\u3063\u3066\u5ef6\u671f\u3055\u308c\u305f\u4e0a\u306b\u3001\u4f7f\u3044\u65b9\u306b\u3088\u3063\u3066\u306f\u7121\u6599\u306e\u307e\u307e\u3067\u4f7f\u3048\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u3068\u3044\u3046\u60c5\u5831\u304c\u6d41\u308c\u305f\u308a\u3057\u3066\u3044\u3066\u3001\u6700\u7d42\u7684\u306b\u3069\u306e\u3088\u3046\u306a\u5f62\u306b\u843d\u3061\u7740\u304f\u306e\u304b\u3088\u304f\u308f\u304b\u3089\u306a\u304f\u306a\u3063\u3066\u304d\u307e\u3057\u305f\u3002<\/p>\n

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\u5186\u9310<\/h2>\n

\u7a81\u7136\u3067\u3059\u304c\u3001\u5e95\u9762\u306e\u534a\u5f84\u304c$r$\u3067\u9ad8\u3055\u304c$h$\u306e\u5186\u9310\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n

\u3053\u3093\u306a\u5f62\u306e\u3082\u306e\u3067\u3059\u2193<\/p>\n

\"\"<\/a><\/p>\n

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\u3053\u306e\u5186\u9310\u306e\u4f53\u7a4d\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n

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\"\"<\/a><\/p>\n

\u56de\u8ee2\u4f53<\/h2>\n

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\u3053\u306e\u76f4\u89d2\u4e09\u89d2\u5f62\u306f\u5143\u306e\u5186\u9310\u306e\u9802\u70b9\u3068\u5e95\u9762\u306e\u5186\u306e\u4e2d\u5fc3\u3092\u9802\u70b9\u3068\u3057\u3066\u3044\u3066\u3001\u304b\u3064\u5e95\u9762\u306e\u5186\u306e\u4e2d\u5fc3\u306b\u5bfe\u5fdc\u3059\u308b\u9802\u70b9\u306f\u76f4\u89d2\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u305d\u3053\u3067\u3001\u5143\u306e\u5186\u9310\u306e\u9802\u70b9\u3068\u539f\u70b9\u3068\u3057\u3001\u539f\u70b9\u304b\u3089\u5e95\u9762\u306e\u5186\u306e\u4e2d\u5fc3\u306b\u5bfe\u5fdc\u3059\u308b\u9802\u70b9\u3078\u306e\u5411\u304d\u3092$y$\u8ef8\u306e\u6b63\u306e\u5411\u304d\u3068\u3059\u308b$xy$\u5e73\u9762\u3092\u8003\u3048\u308b\u3068\u3001\u4e0a\u8a18\u306e\u76f4\u89d2\u4e09\u89d2\u5f62\u306f\u4ee5\u4e0b\u306e\u7dd1\u8272\u306e\u30b0\u30e9\u30c7\u30fc\u30b7\u30e7\u30f3\u3067\u5857\u3063\u305f\u90e8\u5206\u53ca\u3073\u305d\u306e\u5883\u754c\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

\"\"<\/a><\/p>\n

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\\begin{align}
\ny &= \\frac{h}{r}\\,x\\label{eq:slopeeq}
\n\\end{align}<\/p>\n

\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

\u5207\u65ad\u9762<\/h2>\n

\u3053\u3053\u3067\u3001\u5186\u9310\u3092\u76f4\u7dda$y = \\alpha$\u3067\u5207\u3063\u3066\u307f\u307e\u3059\u3002<\/p>\n

\u3059\u308b\u3068\u3001\u65ad\u9762\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306a\u534a\u5f84$\\beta$\u306e\u5186\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\"\"<\/a><\/p>\n

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\u3053\u306e\u5186\u306e\u9762\u7a4d\u3092$\\alpha$\u3092\u4f7f\u3063\u3066\u8868\u3059\u3053\u3068\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n

(\\ref{eq:slopeeq})\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u3001$\\alpha$\u3068$\\beta$\u306e\u9593\u306b\u306f(\\ref{eq:alphabeta})\u306e\u95a2\u4fc2\u304c\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n

\\begin{align}
\n\\alpha &= \\frac{h}{r}\\,\\beta\\label{eq:alphabeta}
\n\\end{align}<\/p>\n

\u305d\u3053\u3067\u3001(\\ref{eq:alphabeta})\u5f0f\u3092$\\beta$\u306b\u3064\u3044\u3066\u89e3\u304f\u3068\u3001<\/p>\n

\\begin{align}
\n\\beta &= \\frac{r}{h}\\,\\alpha\\label{eq:betaalpha}
\n\\end{align}<\/p>\n

\u3068\u66f8\u3051\u307e\u3059\u306e\u3067\u3001\u4e0a\u56f3\u306e\u5186\u306e\u9762\u7a4d$S$\u306f\u534a\u5f84\u304c$\\beta$\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u3001<\/p>\n

\\begin{align}
\nS &= \\pi\\left(\\frac{r}{h}\\,\\alpha\\right)^2 \\nonumber \\cr
\n&= \\frac{r^2\\pi}{h^2}\\alpha^2 \\label{eq:S}
\n\\end{align}<\/p>\n

\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

$S$\u306f$\\alpha$\u306e\u95a2\u6570\u306a\u306e\u3067\u3001\u3053\u3053\u304b\u3089\u306f$S(\\alpha)$\u3068\u66f8\u304f\u3053\u3068\u306b\u3057\u307e\u3059\u3002<\/p>\n

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\u7a4d\u5206<\/h2>\n

$\\alpha$\u306f0\u304b\u3089$h$\u307e\u3067\u5909\u5316\u3057\u307e\u3059\u306e\u3067\u3001$\\alpha$\u306f0\u304b\u3089$h$\u307e\u3067\u5909\u5316\u3055\u305b\u305f\u3068\u304d\u306e$S(\\alpha)\\Delta\\alpha$\u306e\u7dcf\u548c\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n

\u3059\u308b\u3068\u3001\u5186\u9310\u306e\u4f53\u7a4d\u306f\u2026<\/p>\n

\\begin{align}
\n\\int_0^h S(\\alpha)\\,d\\alpha &= \\int_0^h\\frac{r^2\\pi}{h^2}\\alpha^2\\,d\\alpha \\nonumber \\cr
\n&= \\frac{r^2\\pi}{h^2}\\left[\\frac{\\alpha^3}{3}\\right]_0^h \\nonumber \\cr
\n&= \\frac{r^2\\pi}{h^2}\\frac{h^3}{3} \\nonumber \\cr
\n&= \\frac{r^2h\\pi}{3} \\nonumber \\cr
\n&= \\frac{1}{3}\\pi hr^2 \\label{eq:V}
\n\\end{align}<\/p>\n

\u3068\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002$\\blacksquare$<\/p>\n

(\\ref{eq:V})\u5f0f\u304c\u304b\u306e\u6709\u540d\u306a\u5186\u9310\u306e\u4f53\u7a4d\u306e\u516c\u5f0f\u3067\u3059\u3002<\/p>\n

\u307e\u3068\u3081<\/h2>\n

2\u6708\u3068\u8a00\u3048\u3070\u53d7\u9a13\u30b7\u30fc\u30ba\u30f3\u3068\u3044\u3046\u3053\u3068\u3067\u3001\u5186\u9310\u306e\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u516c\u5f0f\u3092\u5fd8\u308c\u3066\u3057\u307e\u3063\u305f\u5834\u5408\u3084\u7a4d\u5206\u306b\u3088\u308b\u9762\u7a4d\u3084\u4f53\u7a4d\u8a08\u7b97\u306e\u65b9\u6cd5\u3092\u5fd8\u308c\u3066\u3057\u307e\u3063\u305f\u5834\u5408\u3001\u3055\u3089\u306b\u306f\u5186\u9310\u306e\u4f53\u7a4d\u306e\u516c\u5f0f\u306f\u899a\u3048\u3066\u3044\u305f\u3082\u306e\u306e\u3001\u300c\u306a\u3093\u3067$\\dfrac{1}{3}$\u500d\u3059\u308b\u3093\u3060\u3063\u3051?\u300d\u3068\u3044\u3046\u70b9\u304c\u6c17\u306b\u306a\u3063\u3066\u4ed5\u65b9\u304c\u306a\u304f\u306a\u3063\u3066\u3057\u307e\u3063\u305f\u5834\u5408\u306a\u3069\u306b\u3053\u306e\u8a18\u4e8b\u306e\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u3044\u305f\u3060\u3051\u308b\u3068\u5e78\u3044\u3067\u3059\u3002<\/p>\n

\u3053\u306e\u8a18\u4e8b\u306f\u4ee5\u4e0a\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u306f\u3058\u3081\u306b 2023\u5e742\u6708\u306b\u305d\u308c\u307e\u3067\u7121\u6599\u3067\u5229\u7528\u3067\u304d\u3066\u3044\u305fTwitter\u306eAPI\u304c\u6709\u6599\u5316\u3055\u308c\u308b\u3068\u3044\u3046\u30cb\u30e5\u30fc\u30b9\u304c\u5831\u3058\u3089\u308c\u307e\u3057\u305f\u3002 \u672cWeb\u30b5\u30a4\u30c8\u3067\u3082WordPress\u306eSNAP|AutoPoster\u30d7\u30e9\u30b0\u30a4\u30f3\u3092\u4f7f\u7528\u3057\u3066\u3001\u8a18\u4e8b\u3092\u65b0\u898f\u306b\u8ffd\u52a0\u3057\u305f\u969b\u306b\u304a\u77e5\u3089\u305b\u3092Twitter\u306b\u81ea\u52d5\u7684\u306b\u6295\u7a3f\u3059\u308b\u3053\u3068\u306b\u3057\u3066\u3044\u307e\u3057\u305f\u304c\u3001\u305d\u306e\u624b\u304c\u4f7f\u3048\u306a\u304f\u306a\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u3067\u3001\u5fc3\u306e\u6e96\u5099\u3068SNAP|AutoPoster\u30d7\u30e9\u30b0\u30a4\u30f3\u306e\u2026 Read More »<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":10077,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,31,13],"tags":[],"class_list":["post-10075","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blender","category-inkscape","category-13"],"_links":{"self":[{"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/posts\/10075","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=10075"}],"version-history":[{"count":12,"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/posts\/10075\/revisions"}],"predecessor-version":[{"id":10091,"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/posts\/10075\/revisions\/10091"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pandanote.info\/index.php?rest_route=\/wp\/v2\/media\/10077"}],"wp:attachment":[{"href":"https:\/\/pandanote.info\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10075"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pandanote.info\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10075"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pandanote.info\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}