{"id":8492,"date":"2024-04-26T11:35:25","date_gmt":"2024-04-26T02:35:25","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=8492"},"modified":"2024-04-27T14:05:47","modified_gmt":"2024-04-27T05:05:47","slug":"matplotlib-%e3%81%a7%e6%a5%b5%e9%99%90%e5%85%ac%e5%bc%8f%e3%81%ae%e8%a8%bc%e6%98%8e%e7%94%a8%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\/8492\/","title":{"rendered":"Matplotlib \u3067\u6975\u9650\u516c\u5f0f\u306e\u8a3c\u660e\u7528\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>\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u516c\u5f0f\u306e\u8a3c\u660e\u7528\u306e\u56f3\u3092 Matplotlib \u3060\u3051\u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u3067\u4f7f\u3063\u3066\u3044\u308b\u306e\u3067\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6b\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e5%be%ae%e5%88%86\/%e5%8f%82%e8%80%83%ef%bc%9a%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e6%a5%b5%e9%99%90%e5%85%ac%e5%bc%8f%e3%81%ae%e8%a8%bc%e6%98%8e\/\" target=\"_blank\" rel=\"noopener\">\u53c2\u8003\uff1a\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u516c\u5f0f\u306e\u8a3c\u660e<\/a><\/li>\n<\/ul>\n<p><!--more--><\/p>\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[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<\/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\">5.68<\/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\"># \u6247\u5f62 OAB<\/span>\r\n<span class=\"n\">th<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">40<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">fill<\/span><span class=\"o\">=<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span>\r\n             <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\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/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\">wedge1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u4e8c\u7b49\u8fba\u4e09\u89d2\u5f62 OAB<\/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=\"n\">xB<\/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=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">yB<\/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=\"n\">th<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yB<\/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=\"s2\">\"darkgreen\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">1.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u70b9 B \u304b\u3089\u70b9 P \u3078\u306e\u5782\u7dda<\/span>\r\n<span class=\"n\">xP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">xB<\/span>\r\n<span class=\"n\">yP<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">yB<\/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> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76f4\u89d2\u4e09\u89d2\u5f62 OAC<\/span>\r\n<span class=\"n\">xC<\/span> <span class=\"o\">=<\/span> <span class=\"n\">xA<\/span>\r\n<span class=\"n\">yC<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tan<\/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=\"n\">th<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xC<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yC<\/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=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">2.5<\/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=\"c1\"># \u76f4\u89d2\u90e8\u5206<\/span>\r\n<span class=\"n\">h<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.05<\/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=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/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=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/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\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xA<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">yA<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/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\r\n<span class=\"c1\"># \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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.05<\/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\"># \u70b9 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\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P$\"<\/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<span class=\"c1\"># \u70b9 A<\/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\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$A$\"<\/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<span class=\"c1\"># \u70b9 B<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xB<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yB<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$B$\"<\/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<span class=\"c1\"># \u70b9 C<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xC<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"n\">yC<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$C$\"<\/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 x \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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.44<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.44<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.23<\/span><span class=\"p\">,<\/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\"># \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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.92<\/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<\/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 \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8517 size-full\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Limit-fig1.svg\" alt=\"\" width=\"460\" height=\"408\" \/><\/p>\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[3]:<\/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\">5.68<\/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\"># \u6247\u5f62 OAB<\/span>\r\n<span class=\"n\">th<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">40<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">fill<\/span><span class=\"o\">=<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span>\r\n             <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\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">wedge2<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">facecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span>\r\n             <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<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">wedge2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u4e8c\u7b49\u8fba\u4e09\u89d2\u5f62 OAB<\/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=\"n\">xB<\/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=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">yB<\/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=\"n\">th<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yB<\/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=\"s2\">\"darkgreen\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">1.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u5857\u308a\u3064\u3076\u3057<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yB<\/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=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/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\r\n<span class=\"c1\"># \u70b9 B \u304b\u3089\u70b9 P \u3078\u306e\u5782\u7dda<\/span>\r\n<span class=\"n\">xP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">xB<\/span>\r\n<span class=\"n\">yP<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">yB<\/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> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76f4\u89d2\u4e09\u89d2\u5f62 OAC<\/span>\r\n<span class=\"n\">xC<\/span> <span class=\"o\">=<\/span> <span class=\"n\">xA<\/span>\r\n<span class=\"n\">yC<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tan<\/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=\"n\">th<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xC<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yC<\/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=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">2.5<\/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=\"c1\"># \u5857\u308a\u3064\u3076\u3057<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xC<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yC<\/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=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/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=\"c1\"># \u76f4\u89d2\u90e8\u5206<\/span>\r\n<span class=\"n\">h<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.05<\/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=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/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=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/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\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xA<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">yA<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/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\r\n<span class=\"c1\"># \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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.05<\/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\"># \u70b9 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\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P$\"<\/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<span class=\"c1\"># \u70b9 A<\/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\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$A$\"<\/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<span class=\"c1\"># \u70b9 B<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xB<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yB<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$B$\"<\/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<span class=\"c1\"># \u70b9 C<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xC<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"n\">yC<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$C$\"<\/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 x \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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.44<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.44<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.23<\/span><span class=\"p\">,<\/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\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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.92<\/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<\/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 \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8518\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Limit-fig2.svg\" alt=\"\" width=\"460\" height=\"408\" \/><\/p>\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\">5.68<\/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\"># \u4e8c\u7b49\u8fba\u4e09\u89d2\u5f62 OAB<\/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=\"n\">xB<\/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=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">yB<\/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=\"n\">th<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yB<\/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=\"s2\">\"darkgreen\"<\/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\"># \u5857\u308a\u3064\u3076\u3057<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yB<\/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=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/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\r\n<span class=\"c1\"># \u70b9 B \u304b\u3089\u70b9 P \u3078\u306e\u5782\u7dda<\/span>\r\n<span class=\"n\">xP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">xB<\/span>\r\n<span class=\"n\">yP<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">yB<\/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> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u76f4\u89d2\u90e8\u5206<\/span>\r\n<span class=\"n\">h<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.05<\/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=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/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=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/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\r\n<span class=\"c1\"># \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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.05<\/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\"># \u70b9 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\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P$\"<\/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<span class=\"c1\"># \u70b9 A<\/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\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$A$\"<\/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<span class=\"c1\"># \u70b9 B<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xB<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"n\">yB<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$B$\"<\/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<span class=\"c1\"># \u9762\u7a4d S1<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.55<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$S_1$\"<\/span><span class=\"p\">,<\/span> <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\">'darkgreen'<\/span><span class=\"p\">)<\/span>\r\n\r\n\r\n<span class=\"c1\"># \u89d2\u5ea6 x \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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.44<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.44<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.23<\/span><span class=\"p\">,<\/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\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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.92<\/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<\/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 \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8519\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Limit-S1.svg\" alt=\"\" width=\"460\" height=\"408\" \/><\/p>\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[5]:<\/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\">5.68<\/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\"># \u6247\u5f62 OAB<\/span>\r\n<span class=\"n\">th<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">40<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">fill<\/span><span class=\"o\">=<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span>\r\n             <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\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">wedge2<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">facecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span>\r\n             <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<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">wedge2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.05<\/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\"># \u70b9 A<\/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\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$A$\"<\/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<span class=\"c1\"># \u70b9 B<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xB<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yB<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$B$\"<\/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<span class=\"c1\"># \u9762\u7a4d S<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.55<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.18<\/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\">\"34\"<\/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\"># \u89d2\u5ea6 x \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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.44<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.44<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.23<\/span><span class=\"p\">,<\/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\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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.92<\/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<\/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 \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8520\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Limit-S.svg\" alt=\"\" width=\"460\" height=\"408\" \/><\/p>\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\">5.68<\/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\"># \u76f4\u89d2\u4e09\u89d2\u5f62 OAC<\/span>\r\n<span class=\"n\">xC<\/span> <span class=\"o\">=<\/span> <span class=\"n\">xA<\/span>\r\n<span class=\"n\">yC<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tan<\/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=\"n\">th<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xC<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yC<\/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=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">2.5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u5857\u308a\u3064\u3076\u3057<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xC<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yC<\/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=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/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\r\n<span class=\"c1\"># \u76f4\u89d2\u90e8\u5206<\/span>\r\n<span class=\"n\">h<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.05<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xA<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">yA<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/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\r\n<span class=\"c1\"># \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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"n\">yO<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.05<\/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\"># \u70b9 A<\/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\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$A$\"<\/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<span class=\"c1\"># \u70b9 C<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">xC<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"n\">yC<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$C$\"<\/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<span class=\"c1\"># \u9762\u7a4d S2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.55<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$S_2$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"36\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u89d2\u5ea6 x \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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.44<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.44<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.23<\/span><span class=\"p\">,<\/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\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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/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\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.92<\/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<\/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 \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8521\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Limit-S2.svg\" alt=\"\" width=\"460\" height=\"408\" \/><\/p>\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[7]:<\/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\">1.8<\/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\"># \u4e8c\u7b49\u8fba\u4e09\u89d2\u5f62 OAB<\/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=\"n\">xB<\/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=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">yB<\/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=\"n\">th<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yB<\/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=\"s2\">\"darkgreen\"<\/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\"># \u5857\u308a\u3064\u3076\u3057<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"p\">,<\/span> <span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">yB<\/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=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/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=\"c1\"># \u70b9 B \u304b\u3089\u70b9 P \u3078\u306e\u5782\u7dda<\/span>\r\n<span class=\"n\">xP<\/span> <span class=\"o\">=<\/span> <span class=\"n\">xB<\/span>\r\n<span class=\"n\">yP<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xB<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">yB<\/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> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u76f4\u89d2\u90e8\u5206<\/span>\r\n<span class=\"n\">h<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.05<\/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=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xP<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/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=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">yP<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/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=\"c1\"># \u9762\u7a4d S1<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.55<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$S_1$\"<\/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\">'darkgreen'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u89d2\u5ea6 x \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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.44<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.44<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">0.23<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.05<\/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\">\"x-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\"># \u6247\u5f62 OAB<\/span>\r\n<span class=\"n\">th<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">40<\/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=\"mf\">1.2<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">fill<\/span><span class=\"o\">=<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span>\r\n             <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\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">wedge2<\/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=\"mf\">1.2<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">facecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span>\r\n             <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<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">wedge2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u89d2\u5ea6 x \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=\"mf\">1.2<\/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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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=\"mf\">1.2<\/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\">0.44<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.44<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">1.43<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.05<\/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\">\"x-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<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.75<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.18<\/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\">\"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\"># \u76f4\u89d2\u4e09\u89d2\u5f62 OAC<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mf\">2.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"o\">+<\/span><span class=\"mf\">2.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">xC<\/span><span class=\"o\">+<\/span><span class=\"mf\">2.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.4<\/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\">yC<\/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=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">2.5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u5857\u308a\u3064\u3076\u3057<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"mf\">2.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"o\">+<\/span><span class=\"mf\">2.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">xC<\/span><span class=\"o\">+<\/span><span class=\"mf\">2.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.4<\/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\">yC<\/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=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/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\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.95<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$S_2$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"32\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'blue'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u89d2\u5ea6 x \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=\"mf\">2.4<\/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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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=\"mf\">2.4<\/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\">0.44<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.44<\/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=\"n\">th<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/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\">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\">2.63<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.05<\/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\">\"x-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<span class=\"c1\"># \u76f4\u89d2\u90e8\u5206<\/span>\r\n<span class=\"n\">h<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.05<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">xA<\/span><span class=\"o\">+<\/span><span class=\"mf\">2.4<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"o\">+<\/span><span class=\"mf\">2.4<\/span><span class=\"o\">-<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">xA<\/span><span class=\"o\">+<\/span><span class=\"mf\">2.4<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">yA<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"n\">yA<\/span><span class=\"o\">+<\/span><span class=\"n\">h<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"gray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/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\r\n<span class=\"c1\"># \u4e0d\u7b49\u53f7<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.05<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.3<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$&lt;$\"<\/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<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.25<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.3<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$&lt;$\"<\/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\"># \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\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.45<\/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\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.95<\/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<\/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 \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8522 size-large\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Limit-Sall.svg\" alt=\"\" width=\"640\" height=\"179\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u516c\u5f0f\u306e\u8a3c\u660e\u7528\u306e\u56f3\u3092 Matplotlib \u3060\u3051\u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u3067\u4f7f\u3063\u3066\u3044\u308b\u306e\u3067\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/8492\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>\u53c2\u8003\uff1a\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u516c\u5f0f\u306e\u8a3c\u660e<\/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-8492","post","type-post","status-publish","format-standard","hentry","category-matplotlib","category-21","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/8492","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=8492"}],"version-history":[{"count":4,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/8492\/revisions"}],"predecessor-version":[{"id":8524,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/8492\/revisions\/8524"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=8492"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=8492"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=8492"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}