{"id":8558,"date":"2024-05-09T12:15:26","date_gmt":"2024-05-09T03:15:26","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=8558"},"modified":"2024-05-09T15:20:06","modified_gmt":"2024-05-09T06:20:06","slug":"matplotlib-%e3%81%a72%e9%87%8d%e7%a9%8d%e5%88%86%e3%81%ae%e8%aa%ac%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\/8558\/","title":{"rendered":"Matplotlib \u30672\u91cd\u7a4d\u5206\u306e\u8aac\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>2\u91cd\u7a4d\u5206\u306e\u8aac\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%a6c\/%e5%a4%9a%e9%87%8d%e7%a9%8d%e5%88%86%ef%bc%9a%e5%a4%9a%e5%a4%89%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e7%a9%8d%e5%88%86\/2%e9%87%8d%e7%a9%8d%e5%88%86\/\">2\u91cd\u7a4d\u5206<\/a><\/li>\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%a6c\/%e5%a4%9a%e9%87%8d%e7%a9%8d%e5%88%86%ef%bc%9a%e5%a4%9a%e5%a4%89%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e7%a9%8d%e5%88%86\/2%e9%87%8d%e7%a9%8d%e5%88%86%e3%81%ae%e8%a8%88%e7%ae%97%ef%bc%9a%e7%b4%af%e6%ac%a1%e7%a9%8d%e5%88%86%e3%81%ae%e3%81%be%e3%81%a8%e3%82%81\/\">2\u91cd\u7a4d\u5206\u306e\u8a08\u7b97\uff1a\u7d2f\u6b21\u7a4d\u5206\u306e\u307e\u3068\u3081<\/a><\/li>\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%a6c\/%e5%a4%9a%e9%87%8d%e7%a9%8d%e5%88%86%ef%bc%9a%e5%a4%9a%e5%a4%89%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e7%a9%8d%e5%88%86\/%e5%86%86%e3%81%ae%e9%9d%a2%e7%a9%8d%e3%82%922%e9%87%8d%e7%a9%8d%e5%88%86%e3%81%a7%e6%b1%82%e3%82%81%e3%82%8b\/\">\u5186\u306e\u9762\u7a4d\u30922\u91cd\u7a4d\u5206\u3067\u6c42\u3081\u308b<\/a><\/li>\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%a6c\/%e5%a4%9a%e9%87%8d%e7%a9%8d%e5%88%86%ef%bc%9a%e5%a4%9a%e5%a4%89%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e7%a9%8d%e5%88%86\/%e5%86%86%e3%81%ae%e9%9d%a2%e7%a9%8d%e3%82%922%e9%87%8d%e7%a9%8d%e5%88%86%e3%81%a7%e6%b1%82%e3%82%81%e3%82%8b\/%e5%8f%82%e8%80%83%ef%bc%9a%e6%a5%b5%e5%ba%a7%e6%a8%99%e3%81%ab%e3%82%88%e3%82%8b2%e9%87%8d%e7%a9%8d%e5%88%86%e3%81%a8%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3\/\">\u53c2\u8003\uff1a\u6975\u5ea7\u6a19\u306b\u3088\u308b2\u91cd\u7a4d\u5206\u3068\u30e4\u30b3\u30d3\u30a2\u30f3<\/a><\/li>\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%a6c\/%e5%a4%9a%e9%87%8d%e7%a9%8d%e5%88%86%ef%bc%9a%e5%a4%9a%e5%a4%89%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e7%a9%8d%e5%88%86\/%e5%86%86%e3%81%ae%e9%9d%a2%e7%a9%8d%e3%82%922%e9%87%8d%e7%a9%8d%e5%88%86%e3%81%a7%e6%b1%82%e3%82%81%e3%82%8b\/%e5%8f%82%e8%80%83%ef%bc%9a%e6%a5%95%e5%86%86%e3%81%ae%e9%9d%a2%e7%a9%8d%e3%82%922%e9%87%8d%e7%a9%8d%e5%88%86%e3%81%a7%e6%b1%82%e3%82%81%e3%82%8b\/\">\u53c2\u8003\uff1a\u6955\u5186\u306e\u9762\u7a4d\u30922\u91cd\u7a4d\u5206\u3067\u6c42\u3081\u308b<\/a><\/li>\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%a6c\/%e5%a4%9a%e9%87%8d%e7%a9%8d%e5%88%86%ef%bc%9a%e5%a4%9a%e5%a4%89%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e7%a9%8d%e5%88%86\/%e3%82%ac%e3%82%a6%e3%82%b9%e7%a9%8d%e5%88%86\/\">\u30ac\u30a6\u30b9\u7a4d\u5206<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<p><!--more--><\/p>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.pyplot<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">plt<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.patches<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">patches<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">numpy<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">np<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a<\/span>\r\n<span class=\"o\">%<\/span><span class=\"k\">config<\/span> InlineBackend.figure_formats = ['svg']\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s1\">'mathtext.fontset'<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'cm'<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s2\">\"text.usetex\"<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing 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<h3 id=\"2\u91cd\u7a4d\u5206\u306e\u5b9a\u7fa9\">2\u91cd\u7a4d\u5206\u306e\u5b9a\u7fa9<\/h3>\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=\"k\">def<\/span> <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.2<\/span><span class=\"o\">*<\/span><span class=\"n\">y<\/span> <span class=\"o\">+<\/span> <span class=\"mf\">0.3<\/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\">y<\/span><span class=\"p\">))<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.1<\/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\">x<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.7<\/span><span class=\"o\">*<\/span><span class=\"n\">y<\/span><span class=\"p\">))<\/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[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=\"mi\">8<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/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<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\">projection<\/span><span class=\"o\">=<\/span><span class=\"s1\">'3d'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots_adjust<\/span><span class=\"p\">(<\/span><span class=\"n\">top<\/span><span class=\"o\">=<\/span><span class=\"mf\">1.0<\/span><span class=\"p\">,<\/span> <span class=\"n\">bottom<\/span><span class=\"o\">=-.<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"n\">left<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># z = f(x, y)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">31<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">31<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">meshgrid<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot_surface<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">),<\/span> <span class=\"n\">cmap<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"Blues_r\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.6<\/span><span class=\"p\">,<\/span>\r\n                <span class=\"n\">ec<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"lightblue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/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=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$z = f(x, y)$\"<\/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=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span><span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u9818\u57df D \u306e\u4e0a<\/span>\r\n<span class=\"n\">x0<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"n\">x1<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">2.5<\/span>\r\n<span class=\"n\">y0<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/span>\r\n<span class=\"n\">y1<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">2.5<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">x0<\/span><span class=\"p\">,<\/span> <span class=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">y0<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">meshgrid<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot_surface<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"mf\">1.01<\/span><span class=\"p\">,<\/span> <span class=\"n\">fc<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">50<\/span><span class=\"p\">,<\/span>\r\n                <span class=\"n\">ec<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u9818\u57df D<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot_surface<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">fc<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"pink\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ec<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"pink\"<\/span><span class=\"p\">,<\/span> \r\n                <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\">x0<\/span><span class=\"p\">,<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span><span class=\"n\">x0<\/span><span class=\"p\">,<\/span><span class=\"n\">x0<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">y0<\/span><span class=\"p\">,<\/span><span class=\"n\">y0<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span><span class=\"n\">y0<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span><span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/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\">1.8<\/span><span class=\"p\">,<\/span><span class=\"mf\">1.5<\/span><span class=\"p\">,<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$D$\"<\/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        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span><span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5782\u76f4\u306a\u7dda\u9054<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x0<\/span><span class=\"p\">,<\/span><span class=\"n\">x0<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">y0<\/span><span class=\"p\">,<\/span><span class=\"n\">y0<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span><span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x0<\/span><span class=\"p\">,<\/span><span class=\"n\">y0<\/span><span class=\"p\">)],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">y0<\/span><span class=\"p\">,<\/span><span class=\"n\">y0<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span><span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span><span class=\"n\">y0<\/span><span class=\"p\">)],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span><span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/span><span class=\"p\">)],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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\">3<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x0<\/span><span class=\"p\">,<\/span><span class=\"n\">x0<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span><span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x0<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/span><span class=\"p\">)],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u4f53\u7a4d V<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.8<\/span><span class=\"p\">,<\/span><span class=\"mf\">1.5<\/span><span class=\"p\">,<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$V$\"<\/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\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"36\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span><span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8<\/span>\r\n<span class=\"n\">X<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/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\">X<\/span><span class=\"p\">,<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span>  <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"mi\">10<\/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\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"lightgray\"<\/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\">3.2<\/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=\"s2\">\"$x$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># y \u8ef8<\/span>\r\n<span class=\"n\">Y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/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=\"o\">*<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y<\/span><span class=\"p\">,<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"mi\">10<\/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\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"lightgray\"<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># z \u8ef8<\/span>\r\n<span class=\"n\">Z<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/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=\"o\">*<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span>  <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">Z<\/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\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"lightgray\"<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.3<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$z$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">)<\/span>\r\n\r\n\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_zlim<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">view_init<\/span><span class=\"p\">(<\/span><span class=\"n\">elev<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">azim<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">20<\/span><span class=\"p\">,<\/span> <span class=\"n\">roll<\/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\">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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8559\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/nijusekibun-vol-1.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<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<h3 id=\"\u7d2f\u6b21\u7a4d\u5206\">\u7d2f\u6b21\u7a4d\u5206<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<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<h4 id=\"\u9818\u57df-$D$-\u304c-$x-=-a,-x-=-b,-y-=-y_1(x),-y-=-y_2(x)$-\u3067\u56f2\u307e\u308c\u308b\u5834\u5408\">\u9818\u57df $D$ \u304c $x = a, x = b, y = y_1(x), y = y_2(x)$ \u3067\u56f2\u307e\u308c\u308b\u5834\u5408<\/h4>\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=\"k\">def<\/span> <span class=\"nf\">y2<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span> <span class=\"o\">+<\/span> <span class=\"mf\">0.4<\/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\">x<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">y1<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mf\">0.1<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"mf\">0.1<\/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[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\">6.4<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\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\"># \u95a2\u6570 y2(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.7<\/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\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y2<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/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\">0.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">a<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.3<\/span>\r\n<span class=\"n\">b<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">2.3<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/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\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y2<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> \r\n         <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/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=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">y2<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.7<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.03<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$y = y_2(x)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u95a2\u6570 y1(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.7<\/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\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/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\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/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=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.7<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.03<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$y = y_1(x)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\">#x = a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y1<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">),<\/span> <span class=\"n\">y2<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">)],<\/span> \r\n         <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">)],<\/span> \r\n         <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"--\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$a$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">(<\/span><span class=\"n\">b<\/span><span class=\"p\">)],<\/span> \r\n         <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linestyle<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"--\"<\/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\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y1<\/span><span class=\"p\">(<\/span><span class=\"n\">b<\/span><span class=\"p\">),<\/span> <span class=\"n\">y2<\/span><span class=\"p\">(<\/span><span class=\"n\">b<\/span><span class=\"p\">)],<\/span> \r\n         <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$b$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u9818\u57df D<\/span>\r\n<span class=\"n\">xx1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill_between<\/span><span class=\"p\">(<\/span><span class=\"n\">xx1<\/span><span class=\"p\">,<\/span> <span class=\"n\">y2<\/span><span class=\"p\">(<\/span><span class=\"n\">xx1<\/span><span class=\"p\">),<\/span> <span class=\"n\">y1<\/span><span class=\"p\">(<\/span><span class=\"n\">xx1<\/span><span class=\"p\">),<\/span> \r\n                 <span class=\"n\">fc<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.3<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$D$\"<\/span><span class=\"p\">,<\/span> \r\n        <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=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.18<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mf\">3.3<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> \r\n           <span class=\"n\">width<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.002<\/span><span class=\"p\">,<\/span> <span class=\"n\">headwidth<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">headlength<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"n\">angles<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/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\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">3.2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$x$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># y \u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.12<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mf\">1.25<\/span><span class=\"p\">],<\/span>\r\n           <span class=\"n\">width<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.002<\/span><span class=\"p\">,<\/span> <span class=\"n\">headwidth<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">headlength<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"n\">angles<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/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\">text<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/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\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.3<\/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\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.3<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8560\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/domainD1.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<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<h4 id=\"\u9818\u57df-$D$-\u304c-$y-=-c,-y-=-d,-x-=-x_1(y),-x-=-x_2(y)$-\u3067\u56f2\u307e\u308c\u308b\u5834\u5408\">\u9818\u57df $D$ \u304c $y = c, y = d, x = x_1(y), x = x_2(y)$ \u3067\u56f2\u307e\u308c\u308b\u5834\u5408<\/h4>\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=\"k\">def<\/span> <span class=\"nf\">x2<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">y<\/span> <span class=\"o\">+<\/span> <span class=\"mf\">0.4<\/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\">y<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">x1<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mf\">0.1<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"mf\">0.1<\/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[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\">6.4<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\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\"># \u95a2\u6570 x2(y)<\/span>\r\n<span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.7<\/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\">x2<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/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\">0.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.3<\/span>\r\n<span class=\"n\">d<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">2.3<\/span>\r\n<span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/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\">x2<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> \r\n         <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">x2<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.7<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.03<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.8<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$x = x_2(y)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u95a2\u6570 x1(y)<\/span>\r\n<span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.7<\/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\">x1<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"p\">,<\/span> <span class=\"n\">d<\/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\">x1<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">x1<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.7<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.03<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.8<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$x = x_1(y)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># y = c<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"p\">),<\/span> <span class=\"n\">x2<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"p\">)],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">c<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">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\">x1<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"p\">)],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">c<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"--\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$c$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># y = d<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">(<\/span><span class=\"n\">d<\/span><span class=\"p\">),<\/span> <span class=\"n\">x2<\/span><span class=\"p\">(<\/span><span class=\"n\">d<\/span><span class=\"p\">)],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">d<\/span><span class=\"p\">,<\/span> <span class=\"n\">d<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">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\">x1<\/span><span class=\"p\">(<\/span><span class=\"n\">d<\/span><span class=\"p\">)],<\/span> \r\n         <span class=\"p\">[<\/span><span class=\"n\">d<\/span><span class=\"p\">,<\/span> <span class=\"n\">d<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<span class=\"p\">,<\/span> <span class=\"n\">linestyle<\/span> <span class=\"o\">=<\/span> \"--\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$d$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u9818\u57df D<\/span>\r\n<span class=\"n\">yy1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"p\">,<\/span> <span class=\"n\">d<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">leftx<\/span> <span class=\"o\">=<\/span> <span class=\"n\">x1<\/span><span class=\"p\">(<\/span><span class=\"n\">yy1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">yy2<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">d<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">rightx<\/span> <span class=\"o\">=<\/span> <span class=\"n\">x2<\/span><span class=\"p\">(<\/span><span class=\"n\">yy2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">edgex<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">list<\/span><span class=\"p\">(<\/span><span class=\"n\">leftx<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"nb\">list<\/span><span class=\"p\">(<\/span><span class=\"n\">rightx<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">edgey<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">list<\/span><span class=\"p\">(<\/span><span class=\"n\">yy1<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"nb\">list<\/span><span class=\"p\">(<\/span><span class=\"n\">yy2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">(<\/span><span class=\"n\">edgex<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgey<\/span><span class=\"p\">,<\/span> \r\n         <span class=\"n\">fc<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.3<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$D$\"<\/span><span class=\"p\">,<\/span> \r\n        <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=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mf\">1.25<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> \r\n           <span class=\"n\">width<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.002<\/span><span class=\"p\">,<\/span> <span class=\"n\">headwidth<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">headlength<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"n\">angles<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/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\">text<\/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=\"s2\">\"$x$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># y \u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.12<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mf\">3.2<\/span><span class=\"p\">],<\/span>\r\n           <span class=\"n\">width<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.002<\/span><span class=\"p\">,<\/span> <span class=\"n\">headwidth<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"n\">headlength<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"n\">angles<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/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\">text<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.2<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">ha<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"center\"<\/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_ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.3<\/span><span class=\"p\">)<\/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\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.3<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8584\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/domainD2.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<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<h3 id=\"\u5186\u306e\u9762\u7a4d\">\u5186\u306e\u9762\u7a4d<\/h3>\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[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">6.4<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">(<\/span><span class=\"n\">aspect<\/span><span class=\"o\">=<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u539f\u70b9\u3092\u4e2d\u5fc3\u3068\u3057\u305f\u534a\u5f84 1 \u306e\u5186<\/span>\r\n<span class=\"n\">en1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Circle<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> \r\n        <span class=\"n\">radius<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">fc<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">en1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.12<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$D: \\, x^2 + y^2 \\leq 1$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"36\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u4e0a\u5186\u5f27 <\/span>\r\n<span class=\"n\">arcAP1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Arc<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">width<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">180<\/span><span class=\"p\">,<\/span> <span class=\"n\">ec<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/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\">arcAP1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$y = \\sqrt{1-x^2}$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'blue'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u4e0b\u5186\u5f27 <\/span>\r\n<span class=\"n\">arcAP1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Arc<\/span><span class=\"p\">(<\/span>\r\n        <span class=\"n\">xy<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">),<\/span> <span class=\"n\">width<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=<\/span><span class=\"mi\">180<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">360<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/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\">arcAP1<\/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\">0.15<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$y = -\\sqrt{1-x^2}$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'red'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\">#<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">],<\/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\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.12<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$-1$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"large\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"mi\">1<\/span><span class=\"p\">],<\/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\">\"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\">1.03<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.08<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$1$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"large\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.3<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.3<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.3<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.3<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.25<\/span><span class=\"p\">,<\/span><span class=\"mf\">0.03<\/span><span class=\"p\">,<\/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>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span><span class=\"mf\">1.25<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">)<\/span>\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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8562\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/circle-area.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<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<h3 id=\"\u6975\u5ea7\u6a19\u306e\u5fae\u5c0f\u9762\u7a4d\u8981\u7d20\">\u6975\u5ea7\u6a19\u306e\u5fae\u5c0f\u9762\u7a4d\u8981\u7d20<\/h3>\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[9]:<\/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\">4.8<\/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\"># r dr d\\theta<\/span>\r\n<span class=\"n\">x1<\/span><span class=\"o\">=<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">x2<\/span><span class=\"o\">=<\/span><span class=\"mf\">1.2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">y1<\/span><span class=\"o\">=<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">y2<\/span><span class=\"o\">=<\/span><span class=\"mf\">1.2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">))<\/span>\r\n\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\">x1<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"n\">y1<\/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\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/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\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span><span class=\"n\">x2<\/span><span class=\"p\">,<\/span><span class=\"n\">x2<\/span><span class=\"p\">,<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"n\">y2<\/span><span class=\"p\">,<\/span><span class=\"n\">y2<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"n\">fc<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/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\">x1<\/span><span class=\"p\">,<\/span><span class=\"n\">x2<\/span><span class=\"p\">,<\/span><span class=\"n\">x2<\/span><span class=\"p\">,<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"n\">y2<\/span><span class=\"p\">,<\/span><span class=\"n\">y2<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/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\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># r<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$r$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># d\\theta<\/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\">0.6<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"n\">ec<\/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\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">arc1<\/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\">0.62<\/span><span class=\"p\">,<\/span> <span class=\"n\">height<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.62<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">theta1<\/span><span class=\"o\">=-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta2<\/span><span class=\"o\">=<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"n\">ec<\/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\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">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\">0.34<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$d\\theta$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># r d\\theta<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"n\">x1<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span><span class=\"n\">y1<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">5<\/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\">1.008<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$r\\,d\\theta$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># dr<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"n\">x2<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"n\">y2<\/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\">lw<\/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\">5<\/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\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.07<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$dr$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># P<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"n\">y1<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span><span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/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=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.13<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P(r, \\theta)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># Q<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">x2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y2<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.25<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.14<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$Q(r\\!+\\!dr, \\theta\\!+\\!d\\theta)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># dx dy<\/span>\r\n<span class=\"n\">X1<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span>\r\n<span class=\"n\">X2<\/span><span class=\"o\">=<\/span><span class=\"mf\">1.2<\/span>\r\n<span class=\"n\">Y1<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.4<\/span>\r\n<span class=\"n\">Y2<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"n\">X1<\/span><span class=\"p\">,<\/span> <span class=\"n\">X2<\/span><span class=\"p\">,<\/span> <span class=\"n\">X2<\/span><span class=\"p\">,<\/span> <span class=\"n\">X1<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">Y1<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y1<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y2<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y2<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"n\">fc<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/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\">X1<\/span><span class=\"p\">,<\/span> <span class=\"n\">X2<\/span><span class=\"p\">,<\/span> <span class=\"n\">X2<\/span><span class=\"p\">,<\/span> <span class=\"n\">X1<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">Y1<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y1<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y2<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y2<\/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\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># P<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">X1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">Y1<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span><span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/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=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.37<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P(x, y)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># Q<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">X2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">Y2<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span><span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/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\">1.25<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.64<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$Q(x\\!+\\!dx, y\\!+\\!dy)$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># dx<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">X1<\/span><span class=\"p\">,<\/span><span class=\"n\">X2<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">Y1<\/span><span class=\"p\">,<\/span><span class=\"n\">Y1<\/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\">lw<\/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\">5<\/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\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.43<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$dx$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># dy<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">X1<\/span><span class=\"p\">,<\/span><span class=\"n\">X1<\/span><span class=\"p\">],<\/span>\r\n         <span class=\"p\">[<\/span><span class=\"n\">Y1<\/span><span class=\"p\">,<\/span><span class=\"n\">Y2<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span><span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">5<\/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\">1.008<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$dy$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/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=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.5<\/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\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.8<\/span><span class=\"p\">)<\/span>\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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8563\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/polar-dS.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<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<h3 id=\"\u5e73\u884c\u56db\u8fba\u5f62\u306e\u9762\u7a4d\u3092\u5916\u7a4d\u3067\">\u5e73\u884c\u56db\u8fba\u5f62\u306e\u9762\u7a4d\u3092\u5916\u7a4d\u3067<\/h3>\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[10]:<\/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\">3.2<\/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=\"n\">x1<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">x2<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">1.5<\/span>\r\n<span class=\"n\">x3<\/span> <span class=\"o\">=<\/span> <span class=\"n\">x2<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">x4<\/span> <span class=\"o\">=<\/span> <span class=\"n\">x1<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">y1<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">y2<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n<span class=\"n\">y3<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">y4<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">60<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"n\">x2<\/span><span class=\"p\">,<\/span> <span class=\"n\">x3<\/span><span class=\"p\">,<\/span> <span class=\"n\">x4<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span> <span class=\"n\">y2<\/span><span class=\"p\">,<\/span> <span class=\"n\">y3<\/span><span class=\"p\">,<\/span> <span class=\"n\">y4<\/span><span class=\"p\">],<\/span> \r\n         <span class=\"n\">fc<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># P<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y1<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">x1<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$P$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># Q<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">x3<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y3<\/span><span class=\"p\">],<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span><span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">x3<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"n\">y3<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$Q$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \\theta<\/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=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/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=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"n\">ec<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">arc1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">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=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/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=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"n\">ec<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">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\">0.25<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.16<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$\\theta$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"green\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"26\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># S<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$S$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"k\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"36\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># vec a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">x2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span>\r\n          <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span>\r\n          <span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">([<\/span><span class=\"n\">x4<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y4<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">x2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span>\r\n          <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span>\r\n          <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\">0.7<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.15<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$\\vec<\/span><span class=\"si\">{a}<\/span><span class=\"s2\">$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"36\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u65b0\u5f18\u5927 JupyterHub \u3067\u306f \\boldsymbol{} \u304c\u4f7f\u3048\u308b<\/span>\r\n<span class=\"c1\"># ax.text(0.7, -0.15, r\"$\\boldsymbol{a}$\", c=\"blue\",<\/span>\r\n<span class=\"c1\">#         fontsize=\"36\", ha=\"center\", va=\"center\")<\/span>\r\n\r\n<span class=\"c1\"># vec b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">([<\/span><span class=\"n\">x1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">x4<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y4<\/span><span class=\"p\">],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span>\r\n          <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span>\r\n          <span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">([<\/span><span class=\"n\">x2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">x3<\/span><span class=\"o\">-<\/span><span class=\"n\">x2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y3<\/span><span class=\"o\">-<\/span><span class=\"n\">y2<\/span><span class=\"p\">],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span>\r\n          <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span>\r\n          <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\">0.15<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$\\vec<\/span><span class=\"si\">{b}<\/span><span class=\"s2\">$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span>\r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"36\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u65b0\u5f18\u5927 JupyterHub \u3067\u306f \\boldsymbol{} \u304c\u4f7f\u3048\u308b<\/span>\r\n<span class=\"c1\"># ax.text(0.15, 0.5, r\"$\\boldsymbol{b}$\", c=\"red\",<\/span>\r\n<span class=\"c1\">#         fontsize=\"36\", ha=\"center\", va=\"center\")<\/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\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.5<\/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\">0.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\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=\"output_svg output_subarea \"><\/div>\n<div><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8579\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/gaiseki-S.svg\" alt=\"\" width=\"640\" height=\"320\" \/><\/div>\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=\"output_svg output_subarea \"><\/div>\n<div><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8580\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/gaiseki-S1.svg\" alt=\"\" width=\"640\" height=\"320\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<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<h3 id=\"\u6955\u5186\u306e\u9762\u7a4d\">\u6955\u5186\u306e\u9762\u7a4d<\/h3>\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[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">b<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">-<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"o\">\/<\/span><span class=\"n\">a<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">))<\/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[12]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s2\">\"text.usetex\"<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">True<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[13]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">a<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>\r\n<span class=\"n\">b<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"n\">alim<\/span> <span class=\"o\">=<\/span> <span class=\"n\">a<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.5<\/span>\r\n<span class=\"n\">blim<\/span> <span class=\"o\">=<\/span> <span class=\"n\">b<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.5<\/span>\r\n\r\n<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=\"mi\">4<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">(<\/span><span class=\"n\">aspect<\/span><span class=\"o\">=<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u6955\u5186<\/span>\r\n<span class=\"n\">e1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">patches<\/span><span class=\"o\">.<\/span><span class=\"n\">Ellipse<\/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=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> \r\n                     <span class=\"c1\"># \u5857\u308a\u3064\u3076\u3057\u306e\u8272\uff0c  \u7dda\u306e\u8272<\/span>\r\n                     <span class=\"n\">facecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> \r\n                     <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">fill<\/span><span class=\"o\">=<\/span><span class=\"kc\">True<\/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\">e1<\/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\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.25<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"sa\">r<\/span><span class=\"s2\">\"$D: \\, \\frac{x^2}{a^2} + \\frac{y^2}{b^2} \\leq 1$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"28\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ha<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">va<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"center\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"mi\">500<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u4e0a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/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\">0.3<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$y = b\\,\\sqrt{1 -\\frac{x^2}{a^2}}$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u4e0b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/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\">0.3<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$y = -b\\,\\sqrt{1 -\\frac{x^2}{a^2}}$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x = -a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"p\">],<\/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\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.25<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$-a$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"large\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x = a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">([<\/span><span class=\"n\">a<\/span><span class=\"p\">],<\/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\">\"k\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$a$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"large\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\">#<\/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=\"n\">alim<\/span><span class=\"p\">,<\/span> <span class=\"n\">alim<\/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=\"n\">blim<\/span><span class=\"p\">,<\/span> <span class=\"n\">blim<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.3<\/span><span class=\"p\">,<\/span><span class=\"mf\">0.03<\/span><span class=\"p\">,<\/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>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span><span class=\"mf\">1.4<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8566\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/daen-Area.svg\" alt=\"\" width=\"640\" height=\"400\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<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<h3 id=\"\u30ac\u30a6\u30b9\u7a4d\u5206\">\u30ac\u30a6\u30b9\u7a4d\u5206<\/h3>\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[14]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s2\">\"text.usetex\"<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[15]:<\/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=\"mi\">3<\/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>\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=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">300<\/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\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">exp<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">exp<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">),<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">fc<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"yellow\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/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\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.6<\/span><span class=\"p\">,<\/span> <span class=\"sa\">r<\/span><span class=\"s2\">\"$y = e^{-x^2}$\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"xx-large\"<\/span><span class=\"p\">,<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">)<\/span>\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=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/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\">0.02<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.8<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.03<\/span><span class=\"p\">,<\/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>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.03<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$y$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"x-large\"<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8567\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fig-gauss-sekibun.svg\" alt=\"\" width=\"640\" height=\"300\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>2\u91cd\u7a4d\u5206\u306e\u8aac\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\/8558\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>2\u91cd\u7a4d\u5206<\/li>\n<li>2\u91cd\u7a4d\u5206\u306e\u8a08\u7b97\uff1a\u7d2f\u6b21\u7a4d\u5206\u306e\u307e\u3068\u3081<\/li>\n<li>\u5186\u306e\u9762\u7a4d\u30922\u91cd\u7a4d\u5206\u3067\u6c42\u3081\u308b<\/li>\n<li>\u53c2\u8003\uff1a\u6975\u5ea7\u6a19\u306b\u3088\u308b2\u91cd\u7a4d\u5206\u3068\u30e4\u30b3\u30d3\u30a2\u30f3<\/li>\n<li>\u53c2\u8003\uff1a\u6955\u5186\u306e\u9762\u7a4d\u30922\u91cd\u7a4d\u5206\u3067\u6c42\u3081\u308b<\/li>\n<li>\u30ac\u30a6\u30b9\u7a4d\u5206<\/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-8558","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\/8558","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=8558"}],"version-history":[{"count":6,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/8558\/revisions"}],"predecessor-version":[{"id":8585,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/8558\/revisions\/8585"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=8558"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=8558"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=8558"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}