{"id":7867,"date":"2024-03-14T10:00:43","date_gmt":"2024-03-14T01:00:43","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=7867"},"modified":"2024-03-14T10:16:04","modified_gmt":"2024-03-14T01:16:04","slug":"matplotlib-%e3%81%a7%e6%a5%95%e5%86%86%e3%82%84%e5%9b%9e%e8%bb%a2%e6%a5%95%e5%86%86%e4%bd%93%e3%82%92%e6%8f%8f%e3%81%8f","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/7867\/","title":{"rendered":"Matplotlib \u3067\u6955\u5186\u3084\u56de\u8ee2\u6955\u5186\u4f53\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>\u7406\u5de5\u7cfb\u306e\u6570\u5b66 B \u306e\u6388\u696d\u3067\uff0c\u6955\u5186\u306e\u5468\u9577\u3084\u9762\u7a4d\uff0c\u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762\u7a4d\u3084\u4f53\u7a4d\u3092\u6c42\u3081\u3066\u3044\u308b\u306e\u3067\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6b\/%e7%a9%8d%e5%88%86%ef%bc%9a%e3%81%84%e3%81%8f%e3%81%a4%e3%81%8b%e3%81%ae%e5%bf%9c%e7%94%a8\/%e5%8f%82%e8%80%83%ef%bc%9amaxima-%e3%81%a7%e6%a5%95%e5%86%86%e3%81%ae%e9%9d%a2%e7%a9%8d%e3%83%bb%e5%91%a8%ef%bc%8c%e5%9b%9e%e8%bb%a2%e6%a5%95%e5%86%86%e4%bd%93%e3%81%ae%e8%a1%a8%e9%9d%a2%e7%a9%8d\/\">\u53c2\u8003\uff1aMaxima \u3067\u6955\u5186\u306e\u9762\u7a4d\u30fb\u5468\uff0c\u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762\u7a4d\u30fb\u4f53\u7a4d<\/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%a6b\/%e7%a9%8d%e5%88%86%ef%bc%9a%e3%81%84%e3%81%8f%e3%81%a4%e3%81%8b%e3%81%ae%e5%bf%9c%e7%94%a8\/%e5%8f%82%e8%80%83%ef%bc%9asympy-%e3%81%a7%e6%a5%95%e5%86%86%e3%81%ae%e9%9d%a2%e7%a9%8d%e3%83%bb%e5%91%a8%ef%bc%8c%e5%9b%9e%e8%bb%a2%e6%a5%95%e5%86%86%e4%bd%93%e3%81%ae%e8%a1%a8%e9%9d%a2%e7%a9%8d\/\">\u53c2\u8003\uff1aSymPy \u3067\u6955\u5186\u306e\u9762\u7a4d\u30fb\u5468\uff0c\u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762\u7a4d\u30fb\u4f53\u7a4d<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<p><!--more--><\/p>\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=\"\u5fc5\u8981\u306a\u30e2\u30b8\u30e5\u30fc\u30eb\u306e-import\">\u5fc5\u8981\u306a\u30e2\u30b8\u30e5\u30fc\u30eb\u306e import<\/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[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\">numpy<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">np<\/span>\r\n\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">matplotlib<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">patches<\/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<\/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=\"mathtext.fontset-\u306e\u8a2d\u5b9a\"><code>mathtext.fontset<\/code> \u306e\u8a2d\u5b9a<\/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=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s1\">'mathtext.fontset'<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'cm'<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing 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=\"\u5857\u308a\u3064\u3076\u3057\u305f\u6955\u5186\">\u5857\u308a\u3064\u3076\u3057\u305f\u6955\u5186<\/h3>\n<p>Matplotlib \u3067\u9577\u534a\u5f84 $a$\uff0c\u5358\u534a\u5f84 $b$ \u306e\u6955\u5186\u3092\u63cf\u304f\u4f8b\u3002<code>patches.Ellipse()<\/code> \u3092\u4f7f\u3063\u3066\u307f\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/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=\"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\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"darkblue\"<\/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\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<span class=\"c1\"># \u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"$-a$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$0$\"<\/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=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"$-b$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$0$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$b$\"<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8039\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/pltdaen-01A.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=\"\u5857\u308a\u3064\u3076\u3057\u7121\u3057\u306e\u6955\u5186\">\u5857\u308a\u3064\u3076\u3057\u7121\u3057\u306e\u6955\u5186<\/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[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span><span class=\"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=\"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=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"darkblue\"<\/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\">False<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">add_patch<\/span><span class=\"p\">(<\/span><span class=\"n\">e1<\/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=\"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<span class=\"c1\"># \u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"$-a$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$0$\"<\/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=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"$-b$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$0$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$b$\"<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8040\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/pltdaen-02A.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=\"\u9577\u8ef8\u306e\u5468\u308a\u306b\u56de\u8ee2\u3057\u305f\u56de\u8ee2\u6955\u5186\u4f53\">\u9577\u8ef8\u306e\u5468\u308a\u306b\u56de\u8ee2\u3057\u305f\u56de\u8ee2\u6955\u5186\u4f53<\/h3>\n<p>\\begin{eqnarray}<br \/>\n\\frac{x^2}{a^2} + \\frac{y^2}{b^2} &amp;=&amp; 1<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3092 $y$ \u306b\u3064\u3044\u3066\u89e3\u3044\u3066<\/p>\n<p>\\begin{eqnarray}<br \/>\ny &amp;=&amp; b \\sqrt{1-\\frac{x^2}{a^2}} \\equiv f(x)<br \/>\n\\end{eqnarray}<\/p>\n<p>$y = f(x)$ \u3092 $x$ \u306e\u5468\u308a\u306b\u56de\u8ee2\u3057\u3066\u3067\u304d\u308b\u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762\u3092\u63cf\u304f\u3002\u307e\u305a\uff0c<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/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[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"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\"># \u5857\u308a\u3064\u3076\u3057\u90e8\u5206<\/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=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"mi\">300<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">fill_between<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/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\">facecolor<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"lightblue\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># y = f(x)<\/span>\r\n<span class=\"n\">ax<\/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\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"darkblue\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u9577\u8ef8<\/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\">'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\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<span class=\"c1\"># \u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"$-a$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$0$\"<\/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=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"$-b$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$0$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$b$\"<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"c1\"># ax.axhline(0, c='k', ls = '--', lw=1)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8041\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/pltdaen-03A.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<p>$y = f(x)$ \u3092 $x$ \u8ef8\u306e\u5468\u308a\u306b $\\theta$ \u3060\u3051\u56de\u8ee2\u3055\u305b\u308b\u3068\uff0c<\/p>\n<p>\\begin{eqnarray}<br \/>\nx &amp;=&amp; x \\\\<br \/>\ny &amp;=&amp; f(x) \\cos\\theta \\\\<br \/>\nz &amp;=&amp; f(x) \\sin\\theta<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3068\u306a\u308b\u3053\u3068\u306b\u7559\u610f\u3057\u3066\u30c7\u30fc\u30bf\u3092\u4f5c\u6210\u3059\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[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\">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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_box_aspect<\/span><span class=\"p\">((<\/span><span class=\"n\">alim<\/span><span class=\"p\">,<\/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\"># \u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762<\/span>\r\n<span class=\"n\">Ndiv<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">50<\/span>\r\n<span class=\"n\">xi<\/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=\"n\">Ndiv<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">th<\/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\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"n\">Ndiv<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># np.outer \u3067\u30e1\u30c3\u30b7\u30e5\u30c7\u30fc\u30bf\u306b<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">outer<\/span><span class=\"p\">(<\/span><span class=\"n\">xi<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">ones<\/span><span class=\"p\">(<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">xi<\/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\">outer<\/span><span class=\"p\">(<\/span><span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xi<\/span><span class=\"p\">),<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">z<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">outer<\/span><span class=\"p\">(<\/span><span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xi<\/span><span class=\"p\">),<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\">#<\/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\">z<\/span><span class=\"p\">,<\/span> \r\n                <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"lightblue\"<\/span><span class=\"p\">,<\/span> \r\n                <span class=\"n\">edgecolor<\/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=\"mf\">0.2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u9577\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=\"o\">-<\/span><span class=\"n\">alim<\/span><span class=\"p\">,<\/span> <span class=\"n\">alim<\/span><span class=\"p\">,<\/span> <span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/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\">100<\/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\">100<\/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\r\n<span class=\"c1\"># \u5965\u306e z = f(x)<\/span>\r\n<span class=\"n\">xdiv<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">30<\/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=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">xdiv<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/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=\"n\">xdiv<\/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\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"darkblue\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u624b\u524d\u306e z = f(x)<\/span>\r\n<span class=\"n\">xdiv<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">300<\/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=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"o\">+<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">xdiv<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/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=\"n\">xdiv<\/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\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"darkblue\"<\/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\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<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_zlim<\/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<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-8042\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltdaen-04A.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=\"\u77ed\u8ef8\u306e\u5468\u308a\u306b\u56de\u8ee2\u3057\u305f\u56de\u8ee2\u6955\u5186\u4f53\">\u77ed\u8ef8\u306e\u5468\u308a\u306b\u56de\u8ee2\u3057\u305f\u56de\u8ee2\u6955\u5186\u4f53<\/h3>\n<p>\\begin{eqnarray}<br \/>\n\\frac{x^2}{a^2} + \\frac{y^2}{b^2} &amp;=&amp; 1<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3092 $x$ \u306b\u3064\u3044\u3066\u89e3\u3044\u3066<\/p>\n<p>\\begin{eqnarray}<br \/>\nx &amp;=&amp; a \\sqrt{1-\\frac{y^2}{b^2}} \\equiv g(y)<br \/>\n\\end{eqnarray}<\/p>\n<p>$x = g(y) $ \u3092 $y$ \u306e\u5468\u308a\u306b\u56de\u8ee2\u3057\u3066\u3067\u304d\u308b\u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[8]:<\/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\">g<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">a<\/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\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"o\">\/<\/span><span class=\"n\">b<\/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[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=\"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\"># \u5857\u308a\u3064\u3076\u3057\u90e8\u5206<\/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=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">fill_between<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/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\">facecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"lightpink\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x = g(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=\"o\">-<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">g<\/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\">linewidth<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"darkred\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u77ed\u8ef8<\/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\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'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\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<span class=\"c1\"># \u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"$-a$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$0$\"<\/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=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"$-b$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$0$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$b$\"<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<span class=\"c1\"># ax.axvline(0, c='k', ls = '--', lw=1);<\/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-8043\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/pltdaen-05A.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<p>$x = g(z)$ \u3092 $z$ \u8ef8\u306e\u5468\u308a\u306b $\\theta$ \u3060\u3051\u56de\u8ee2\u3055\u305b\u308b\u3068\uff0c<\/p>\n<p>\\begin{eqnarray}<br \/>\nx &amp;=&amp; g(z) \\cos\\theta \\\\<br \/>\ny &amp;=&amp; g(z) \\sin\\theta \\\\<br \/>\nz &amp;=&amp; z<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3068\u306a\u308b\u3053\u3068\u306b\u7559\u610f\u3057\u3066\u30c7\u30fc\u30bf\u3092\u4f5c\u6210\u3059\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[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\">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\">projection<\/span><span class=\"o\">=<\/span><span class=\"s1\">'3d'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_box_aspect<\/span><span class=\"p\">((<\/span><span class=\"n\">alim<\/span><span class=\"p\">,<\/span> <span class=\"n\">alim<\/span><span class=\"p\">,<\/span> <span class=\"n\">blim<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762<\/span>\r\n<span class=\"n\">Ndiv<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">50<\/span>\r\n<span class=\"n\">zi<\/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\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">Ndiv<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">th<\/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\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"n\">Ndiv<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># np.outer \u3067\u30e1\u30c3\u30b7\u30e5\u30c7\u30fc\u30bf\u306b<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">outer<\/span><span class=\"p\">(<\/span><span class=\"n\">g<\/span><span class=\"p\">(<\/span><span class=\"n\">zi<\/span><span class=\"p\">),<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/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\">outer<\/span><span class=\"p\">(<\/span><span class=\"n\">g<\/span><span class=\"p\">(<\/span><span class=\"n\">zi<\/span><span class=\"p\">),<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">z<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">outer<\/span><span class=\"p\">(<\/span><span class=\"n\">zi<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">ones<\/span><span class=\"p\">(<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">zi<\/span><span class=\"p\">)))<\/span>\r\n<span class=\"c1\"># <\/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\">z<\/span><span class=\"p\">,<\/span> \r\n                <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"lightpink\"<\/span><span class=\"p\">,<\/span>\r\n                <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u77ed\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=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">30<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">Z<\/span><span class=\"p\">),<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">Z<\/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\">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\">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=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"mi\">30<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">Z<\/span><span class=\"p\">),<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">Z<\/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\">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\">0<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u624b\u524d\u306e x = g(z)<\/span>\r\n<span class=\"n\">zdiv<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">100<\/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=\"o\">-<\/span><span class=\"mf\">0.3<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">zdiv<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">g<\/span><span class=\"p\">(<\/span><span class=\"n\">z<\/span><span class=\"p\">),<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"n\">zdiv<\/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\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"darkred\"<\/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=\"c1\"># \u5965\u306e x = g(z)<\/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=\"o\">-<\/span><span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.3<\/span><span class=\"p\">,<\/span> <span class=\"n\">zdiv<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">g<\/span><span class=\"p\">(<\/span><span class=\"n\">z<\/span><span class=\"p\">),<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">*<\/span><span class=\"n\">zdiv<\/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\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"darkred\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"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\">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_zlim<\/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<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-8044\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltdaen-06A.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u7406\u5de5\u7cfb\u306e\u6570\u5b66 B \u306e\u6388\u696d\u3067\uff0c\u6955\u5186\u306e\u5468\u9577\u3084\u9762\u7a4d\uff0c\u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762\u7a4d\u3084\u4f53\u7a4d\u3092\u6c42\u3081\u3066\u3044\u308b\u306e\u3067\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/7867\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>\u53c2\u8003\uff1aMaxima \u3067\u6955\u5186\u306e\u9762\u7a4d\u30fb\u5468\uff0c\u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762\u7a4d\u30fb\u4f53\u7a4d<\/li>\n<li>\u53c2\u8003\uff1aSymPy \u3067\u6955\u5186\u306e\u9762\u7a4d\u30fb\u5468\uff0c\u56de\u8ee2\u6955\u5186\u4f53\u306e\u8868\u9762\u7a4d\u30fb\u4f53\u7a4d<\/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],"tags":[],"class_list":["post-7867","post","type-post","status-publish","format-standard","hentry","category-matplotlib","nodate","item-wrap"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u7406\u5de5\u7cfb\u306e\u6570\u5b66 B 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