{"id":8477,"date":"2024-04-25T15:29:01","date_gmt":"2024-04-25T06:29:01","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=8477"},"modified":"2024-04-26T11:40:24","modified_gmt":"2024-04-26T02:40:24","slug":"matplotlib-%e3%81%a7%e5%86%86%e5%bc%a7%e3%82%84%e5%8f%8c%e6%9b%b2%e7%b7%9a%e3%81%8c%e5%bc%b5%e3%82%8b%e9%9d%a2%e7%a9%8d%e3%81%ae%e5%9b%b3%e3%82%92%e6%8f%8f%e3%81%8f","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/8477\/","title":{"rendered":"Matplotlib \u3067\u5186\u5f27\u3084\u53cc\u66f2\u7dda\u304c\u5f35\u308b\u9762\u7a4d\u306e\u56f3\u3092\u63cf\u304f"},"content":{"rendered":"<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u5186\u5f27\u3084\u53cc\u66f2\u7dda\u304c\u5f35\u308b\u9762\u7a4d\u306e\u56f3\u3092 Matplotlib \u3060\u3051\u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u8a18\u4e8b\u3067\u4f7f\u3063\u3066\u3044\u308b\u306e\u3067\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/3145\/\" target=\"_blank\" rel=\"noopener\">\u9006\u4e09\u89d2\u95a2\u6570\u3068\u9006\u53cc\u66f2\u7dda\u95a2\u6570\u306e\u66f8\u304d\u65b9\u8aad\u307f\u65b9<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<p><!--more--><\/p>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.pyplot<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">plt<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.patches<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">patches<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">numpy<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">np<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a<\/span>\r\n<span class=\"o\">%<\/span><span class=\"k\">config<\/span> InlineBackend.figure_formats = ['svg']\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s1\">'mathtext.fontset'<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'cm'<\/span>\r\n<span class=\"c1\"># \u672c\u683c\u7684\u306b full latex \u3057\u305f\u3044\u3068\u304d\u306b\u306f True \u306b\u3002\u305f\u3060\u3057\u6642\u9593\u304c\u304b\u304b\u308b...<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s2\">\"text.usetex\"<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">6.4<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">(<\/span><span class=\"n\">aspect<\/span><span class=\"o\">=<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u539f\u70b9\u3092\u4e2d\u5fc3\u3068\u3057\u305f\u534a\u5f84 1 \u306e\u5186<\/span>\r\n<span class=\"n\">en1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Circle<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> \r\n        <span class=\"n\">radius<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fill<\/span><span class=\"o\">=<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"purple\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">en1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u4e0a\u306e\u70b9 A \u306e\u5ea7\u6a19<\/span>\r\n<span class=\"n\">xA<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"n\">yA<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"c1\"># \u70b9 A<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xA<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yA<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xA<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.04<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$A\\,(1, 0)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u4e0a\u306e\u70b9 P \u306e\u5ea7\u6a19<\/span>\r\n<span class=\"n\">xP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">yP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u70b9 P<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xP<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P\\,(x, y)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u306e\u4e2d\u5fc3 O \u306e\u5ea7\u6a19<\/span>\r\n<span class=\"n\">xO<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">yO<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"c1\"># \u70b9 O<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xO<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yO<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$O$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76f4\u7dda OA<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u76f4\u7dda OP<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u70b9 P \u304b\u3089 y \u8ef8\u3078\u306e\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span> <span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span><span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u70b9 P \u304b\u3089 x \u8ef8\u3078\u306e\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span> <span class=\"p\">],<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span><span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xP<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$x$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u89d2\u5ea6 \u03b8 \u90e8\u5206<\/span>\r\n<span class=\"n\">arc1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Arc<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">width<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.18<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.18<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">arc2<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Arc<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">width<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">arc1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">arc2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$\\theta$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'green'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u5f27 AP<\/span>\r\n<span class=\"n\">arcAP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Arc<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">width<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">arcAP<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># ell<\/span>\r\n<span class=\"n\">xl<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">30<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">yl<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">30<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xl<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.01<\/span><span class=\"p\">,<\/span> <span class=\"n\">yl<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.01<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$\\ell = \\theta$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"28\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'red'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.4<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"kc\">False<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8472\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/arcfig1.svg\" alt=\"\" width=\"460\" height=\"460\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s2\">\"text.usetex\"<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">True<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">6.4<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">(<\/span><span class=\"n\">aspect<\/span><span class=\"o\">=<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u539f\u70b9\u3092\u4e2d\u5fc3\u3068\u3057\u305f\u534a\u5f84 1 \u306e\u5186<\/span>\r\n<span class=\"n\">en1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Circle<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> \r\n        <span class=\"n\">radius<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fill<\/span><span class=\"o\">=<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"purple\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">en1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u4e0a\u306e\u70b9 A \u306e\u5ea7\u6a19<\/span>\r\n<span class=\"n\">xA<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"n\">yA<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"c1\"># \u70b9 A<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xA<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yA<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xA<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.04<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$A\\,(1, 0)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u4e0a\u306e\u70b9 P \u306e\u5ea7\u6a19<\/span>\r\n<span class=\"n\">xP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">yP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u70b9 P<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xP<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P\\,(x, y)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u306e\u4e2d\u5fc3 O \u306e\u5ea7\u6a19<\/span>\r\n<span class=\"n\">xO<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">yO<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"c1\"># \u70b9 O<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xO<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yO<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$O$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76f4\u7dda OA<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u76f4\u7dda OP<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u70b9 P \u304b\u3089 y \u8ef8\u3078\u306e\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span> <span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span><span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u70b9 P \u304b\u3089 x \u8ef8\u3078\u306e\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span> <span class=\"p\">],<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span><span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span> <span class=\"p\">],<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span><span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xP<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$x$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u89d2\u5ea6 \u03b8 \u90e8\u5206<\/span>\r\n<span class=\"n\">arc1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Arc<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">width<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.18<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.18<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">arc2<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Arc<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">width<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">arc1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">arc2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$\\theta$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'green'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u5f27 AP<\/span>\r\n<span class=\"n\">arcAP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Arc<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">width<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">arcAP<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6247\u5f62 OAP \u306e\u5857\u308a\u3064\u3076\u3057<\/span>\r\n<span class=\"n\">wedge1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Wedge<\/span><span class=\"p\">(<\/span><span class=\"n\">center<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">r<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span>\r\n             <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> \r\n             <span class=\"n\">facecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">wedge1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># S, plt.rcParams[\"text.usetex\"] = True \u304c\u5fc5\u8981<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.27<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.3<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$\\displaystyle S=\\frac<\/span><span class=\"si\">{1}{2}<\/span><span class=\"s2\">\\, \\theta$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"26\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n\r\n<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.4<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"kc\">False<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8474\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/arcfig2.svg\" alt=\"\" width=\"460\" height=\"460\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s2\">\"text.usetex\"<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">6.4<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">(<\/span><span class=\"n\">aspect<\/span><span class=\"o\">=<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u53cc\u66f2\u7dda<\/span>\r\n<span class=\"n\">t<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cosh<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">),<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sinh<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">),<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"purple\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cosh<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">),<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sinh<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">),<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"purple\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u53cc\u66f2\u7dda\u4e0a\u306e\u70b9 A \u306e\u5ea7\u6a19<\/span>\r\n<span class=\"n\">xA<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"n\">yA<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"c1\"># \u70b9 A<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xA<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yA<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xA<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$A\\,(1, 0)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u53cc\u66f2\u7dda\u4e0a\u306e\u70b9 P \u306e\u5ea7\u6a19<\/span>\r\n<span class=\"n\">xP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cosh<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.3<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">yP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sinh<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.3<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u70b9 P<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xP<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P\\,(x, y)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u539f\u70b9 O<\/span>\r\n<span class=\"n\">xO<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">yO<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"c1\"># \u70b9 O<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">xO<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">yO<\/span><span class=\"p\">],<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.25<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.25<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$O$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76f4\u7dda OA<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u76f4\u7dda OP<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u70b9 P \u304b\u3089 y \u8ef8\u3078\u306e\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span> <span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"p\">],<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span><span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u70b9 P \u304b\u3089 x \u8ef8\u3078\u306e\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xP<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">yP<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span> <span class=\"p\">],<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span><span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xP<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$x$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u66f2\u7dda AP<\/span>\r\n<span class=\"n\">t<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.3<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cosh<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">),<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sinh<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">),<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># S<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">fill_between<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tanh<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.3<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">facecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"yellow\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">fill_between<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tanh<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.3<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">),<\/span> <span class=\"n\">facecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"yellow\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.15<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$S$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"24\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">2.8<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.8<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">2.5<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"kc\">False<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8473\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/arcfig3.svg\" alt=\"\" width=\"460\" height=\"460\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5186\u5f27\u3084\u53cc\u66f2\u7dda\u304c\u5f35\u308b\u9762\u7a4d\u306e\u56f3\u3092 Matplotlib \u3060\u3051\u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u8a18\u4e8b\u3067\u4f7f\u3063\u3066\u3044\u308b\u306e\u3067\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/8477\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>\u9006\u4e09\u89d2\u95a2\u6570\u3068\u9006\u53cc\u66f2\u7dda\u95a2\u6570\u306e\u66f8\u304d\u65b9\u8aad\u307f\u65b9<\/li>\n<\/ul>\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":[13,21],"tags":[],"class_list":["post-8477","post","type-post","status-publish","format-standard","hentry","category-matplotlib","category-21","nodate","item-wrap"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u5186\u5f27\u3084\u53cc\u66f2\u7dda\u304c\u5f35\u308b\u9762\u7a4d\u306e\u56f3\u3092 Matplotlib \u3060\u3051\u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u8a18\u4e8b\u3067\u4f7f\u3063\u3066\u3044\u308b\u306e\u3067\u3002 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\u3060\u3051\u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u8a18\u4e8b\u3067\u4f7f\u3063\u3066\u3044\u308b\u306e\u3067\u3002 \u9006\u4e09\u89d2\u95a2\u6570\u3068\u9006\u53cc\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/8477\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2024-04-25T06:29:01+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2024-04-26T02:40:24+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Matplotlib \u3067\u5186\u5f27\u3084\u53cc\u66f2\u7dda\u304c\u5f35\u308b\u9762\u7a4d\u306e\u56f3\u3092\u63cf\u304f - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba\" \/>\n\t\t<meta name=\"twitter:description\" content=\"\u5186\u5f27\u3084\u53cc\u66f2\u7dda\u304c\u5f35\u308b\u9762\u7a4d\u306e\u56f3\u3092 Matplotlib 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