{"id":5241,"date":"2023-03-18T12:00:03","date_gmt":"2023-03-18T03:00:03","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=5241"},"modified":"2023-03-18T13:05:35","modified_gmt":"2023-03-18T04:05:35","slug":"%e3%82%b0%e3%83%a9%e3%83%95%e3%81%ae%e4%b8%8a%e4%b8%8b%e5%b7%a6%e5%8f%b3%e8%bb%b8%e3%81%ab%e5%a4%a7%e7%9b%ae%e7%9b%9b%ef%bc%8c%e5%b0%8f%e7%9b%ae%e7%9b%9b%e3%82%92%e3%81%a4%e3%81%91%e3%82%8b","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5241\/","title":{"rendered":"\u30b0\u30e9\u30d5\u306e\u4e0a\u4e0b\u5de6\u53f3\u8ef8\u306b\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u3092\u3064\u3051\u308b"},"content":{"rendered":"<p>20\u4e16\u7d00\u306e\u5927\u6614\uff0c\u30b5\u30a4\u30a8\u30f3\u30c6\u30a3\u30d5\u30a3\u30c3\u30af\u306a\u30b0\u30e9\u30d5\u3068\u3044\u3046\u3082\u306e\u306f\u4e0a\u4e0b\u5de6\u53f3\u8ef8\u306b\u76ee\u76db\u3092\u3064\u3051\u308b\u3082\u306e\u3060\u3068\u5049\u3044\u5148\u751f\u306b\u6559\u3048\u3089\u308c\u305f\u3053\u3068\u304c\u3042\u308b\u3002\u305d\u306e\u7406\u7531\u306f\uff0c\u5b9a\u898f\u3092\u6c34\u5e73\u307e\u305f\u306f\u5782\u76f4\u306b\u5f53\u3066\u3066\u30b0\u30e9\u30d5\u306e\u66f2\u7dda\u304b\u3089\u6570\u5024\u3092\u8aad\u307f\u53d6\u308b\u305f\u3081\u3060\u3068\u8a00\u308f\u308c\u3066\uff0c\u5999\u306b\u611f\u5fc3\u3057\u305f\u3053\u3068\u3092\u899a\u3048\u3066\u3044\u308b\u3002\u3068\u3044\u3046\u308f\u3051\u3067\uff0c\u4e0a\u4e0b\u5de6\u53f3\u8ef8\u306b\u76ee\u76db\u3092\u3064\u3051\u305f\uff0c\u30b5\u30a4\u30a8\u30f3\u30c6\u30a3\u30d5\u30a3\u30c3\u30af\u306a\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u4f8b\u3002<\/p>\n<p>SymPy + SymPy Plotting Backends (SPB) \u3092\u8ffd\u52a0\u30022023.3.18<br \/>\n<!--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=\"gnuplot\">gnuplot<\/h3>\n<h4 id=\"gnuplot-\u3067\u306f\u6a19\u6e96\u3067\u4e0a\u4e0b\u5de6\u53f3\u306b\uff08\u4e3b\uff09\u76ee\u76db\u304c\u3064\u304f\">gnuplot \u3067\u306f\u6a19\u6e96\u3067\u4e0a\u4e0b\u5de6\u53f3\u306b\uff08\u4e3b\uff09\u76ee\u76db\u304c\u3064\u304f<\/h4>\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>$y = \\sin x$ \u306e\u30b0\u30e9\u30d5\u3092 $-5 \\leq x \\leq 5$ \u306e\u7bc4\u56f2\u3067\u63cf\u304f\u4f8b\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[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-gnuplot\">\n<pre><span class=\"k\">plot<\/span> <span class=\"p\">[<\/span><span class=\"mi\">-5<\/span><span class=\"o\">:<\/span><span class=\"mi\">5<\/span><span class=\"p\">]<\/span> <span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5381\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/gtics-fig01.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"gnuplot-\u3067\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u8a2d\u5b9a\">gnuplot \u3067\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u8a2d\u5b9a<\/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[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-gnuplot\">\n<pre><span class=\"c\"># x \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 1 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">xtics<\/span> <span class=\"mi\">1<\/span><span class=\"p\">;<\/span> <span class=\"k\">set<\/span> <span class=\"nb\">mxtics<\/span> <span class=\"mi\">5<\/span>\r\n<span class=\"c\"># y \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 0.5 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">ytics<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">;<\/span> <span class=\"k\">set<\/span> <span class=\"nb\">mytics<\/span> <span class=\"mi\">5<\/span>\r\n\r\n<span class=\"k\">plot<\/span> <span class=\"p\">[<\/span><span class=\"mi\">-5<\/span><span class=\"o\">:<\/span><span class=\"mi\">5<\/span><span class=\"p\">]<\/span> <span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5382\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/gtics-fig02.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"\u305d\u306e\u4ed6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066...\">\u305d\u306e\u4ed6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066&#8230;<\/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[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-gnuplot\">\n<pre><span class=\"c\"># \u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">xtics<\/span> <span class=\"mi\">1<\/span><span class=\"p\">;<\/span> <span class=\"k\">set<\/span> <span class=\"nb\">mxtics<\/span> <span class=\"mi\">5<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">ytics<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">;<\/span> <span class=\"k\">set<\/span> <span class=\"nb\">mytics<\/span> <span class=\"mi\">5<\/span>\r\n\r\n<span class=\"c\"># x \u8ef8 y \u8ef8\u3092\u63cf\u304f<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">zeroaxis<\/span>\r\n\r\n<span class=\"c\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u3092\u63cf\u304f<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">grid<\/span>\r\n\r\n<span class=\"c\"># x \u8ef8\u306e\u30e9\u30d9\u30eb<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">xlabel<\/span> <span class=\"s\">\"x\"<\/span>\r\n<span class=\"c\"># y \u8ef8\u306e\u30e9\u30d9\u30eb<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">ylabel<\/span> <span class=\"s\">\"sin(x)\"<\/span>\r\n\r\n<span class=\"c\"># y \u8ef8\u306e\u8868\u793a\u7bc4\u56f2\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">yrange<\/span> <span class=\"p\">[<\/span><span class=\"mi\">-1<\/span><span class=\"mf\">.1<\/span><span class=\"o\">:<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">]<\/span> \r\n\r\n<span class=\"c\"># notitle \u3067\u51e1\u4f8b\u975e\u8868\u793a\uff0c\u7dda\u306e\u592a\u3055 line width (lw) \u3092 2 \u306b<\/span>\r\n<span class=\"k\">plot<\/span> <span class=\"p\">[<\/span><span class=\"mi\">-5<\/span><span class=\"o\">:<\/span><span class=\"mi\">5<\/span><span class=\"p\">]<\/span> <span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span> <span class=\"nb\">notitle<\/span> <span class=\"n\">lw<\/span> <span class=\"mi\">2<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5383\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/gtics-fig03.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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=\"Maxima-\u306e-plot2d()\">Maxima \u306e <code>plot2d()<\/code><\/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=\"plot2d()-\u3067\u306f\u6a19\u6e96\u3067\u306f\u4e0a\u4e0b\u5de6\u53f3\u306b\uff08\u4e3b\uff09\u76ee\u76db\u304c\u3064\u304f\"><code>plot2d()<\/code> \u3067\u306f\u6a19\u6e96\u3067\u306f\u4e0a\u4e0b\u5de6\u53f3\u306b\uff08\u4e3b\uff09\u76ee\u76db\u304c\u3064\u304f<\/h4>\n<p>$y = \\sin x$ \u306e\u30b0\u30e9\u30d5\u3092 $-5 \\leq x \\leq 5$ \u306e\u7bc4\u56f2\u3067\u63cf\u304f\u4f8b\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[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5385\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mptics-fig01.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"plot2d()-\u3067\u5927\u76ee\u76db\uff0c\u5c0f\u76ee\u76db\u306e\u8a2d\u5b9a\"><code>plot2d()<\/code> \u3067\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u8a2d\u5b9a<\/h4>\n<p><code>plot2d()<\/code> \u306e\u30aa\u30d7\u30b7\u30e7\u30f3 <code>[xtics, ...]<\/code> \u3084 <code>[ytics, ...]<\/code> \u3067\u5927\u76ee\u76db\u306e\u8a2d\u5b9a\u306f\u53ef\u80fd\u3067\u3059\u304c\uff0c \uff08\u5f18\u5927 JupyterHub \u306e\uff09Maxima \u306f gnuplot \u3092\u4f7f\u3063\u3066\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u3044\u308b\u306e\u3067\uff0cgnuplot \u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u76f4\u63a5\u8a2d\u5b9a\u3057\u3066\u3084\u308b\u3053\u3068\u3067\u8a73\u7d30\u306a\u8a2d\u5b9a\u304c\u53ef\u80fd\u3002\u66f8\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\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[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, \r\n\r\n  <span class=\"cm\">\/* x \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 1 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"cm\">\/* y \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 0.5 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">gnuplot_preamble<\/span>, <span class=\"s\">\"set xtics 1; set mxtics 5;<\/span>\r\n<span class=\"s\">                      set ytics 0.5; set mytics 5;\"<\/span><span class=\"p\">]<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5386\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mptics-fig02.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"grid2d-\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066...\"><code>grid2d<\/code> \u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066&#8230;<\/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[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, \r\n\r\n  <span class=\"cm\">\/* \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u3092\u63cf\u304f *\/<\/span>\r\n  <span class=\"nv\">grid2d<\/span>,\r\n\r\n  <span class=\"cm\">\/* x \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 1 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"cm\">\/* y \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 0.5 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">gnuplot_preamble<\/span>, <span class=\"s\">\"set xtics 1; set mxtics 5;<\/span>\r\n<span class=\"s\">                      set ytics 0.5; set mytics 5;\"<\/span><span class=\"p\">]<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5387\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mptics-fig03.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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=\"Maxima-\u306e-draw2d()\">Maxima \u306e <code>draw2d()<\/code><\/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=\"draw2d()-\u306e\u6a19\u6e96\u3067\u306f\u4e0b\u3068\u5de6\u306b\u3057\u304b\u76ee\u76db\u304c\u3064\u304b\u306a\u3044\"><code>draw2d()<\/code> \u306e\u6a19\u6e96\u3067\u306f\u4e0b\u3068\u5de6\u306b\u3057\u304b\u76ee\u76db\u304c\u3064\u304b\u306a\u3044<\/h4>\n<p>\u967d\u95a2\u6570 $y = \\sin x$ \u306e\u30b0\u30e9\u30d5\u3092 $-5 \\leq x \\leq 5$ \u306e\u7bc4\u56f2\u3067\u63cf\u304f\u5834\u5408\u306f <code>explicit(sin(x), ...)<\/code> \u306e\u3088\u3046\u306b\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[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5388\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mdtics-fig01.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"draw2d()-\u3067\u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u3064\u3051\u308b\"><code>draw2d()<\/code> \u3067\u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u3064\u3051\u308b<\/h4>\n<p>\uff08\u5f18\u5927 JupyterHub \u306e\uff09Maxima \u306f gnuplot \u3092\u4f7f\u3063\u3066\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u3044\u308b\u306e\u3067\uff0cgnuplot \u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u8a2d\u5b9a\u3057\u3066\u3084\u308b\u3002\u66f8\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b <code>user_preamble = \"set ...;\"<\/code> \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[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u3064\u3051\u308b *\/<\/span>\r\n  <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"set xtics mirror; set ytics mirror;\"<\/span>,\r\n\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5389\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mdtics-fig02.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"draw2d()-\u3067\u4e3b\u76ee\u76db\u30fb\u76ee\u76db\u5c0f\u76ee\u76db\u306e\u8a2d\u5b9a\"><code>draw2d()<\/code> \u3067\u4e3b\u76ee\u76db\u30fb\u76ee\u76db\u5c0f\u76ee\u76db\u306e\u8a2d\u5b9a<\/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-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u3064\u3051\u308b *\/<\/span>\r\n  <span class=\"cm\">\/* x \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 1 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"cm\">\/* y \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 0.5 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"set xtics mirror; set ytics mirror;<\/span>\r\n<span class=\"s\">                   set xtics 1; set mxtics 5; <\/span>\r\n<span class=\"s\">                   set ytics 0.5; set mytics 5;\"<\/span>,\r\n\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5390\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mdtics-fig03.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"\u305d\u306e\u4ed6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066...\">\u305d\u306e\u4ed6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066&#8230;<\/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[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u3064\u3051\u308b *\/<\/span>\r\n  <span class=\"cm\">\/* x \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 1 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"cm\">\/* y \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 0.5 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"cm\">\/* \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u3092\u63cf\u304f *\/<\/span>\r\n  <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"set xtics mirror; set ytics mirror;<\/span>\r\n<span class=\"s\">                   set xtics 1; set mxtics 5; <\/span>\r\n<span class=\"s\">                   set ytics 0.5; set mytics 5;<\/span>\r\n<span class=\"s\">                   set grid;\"<\/span>,\r\n\r\n  <span class=\"cm\">\/* \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f grid = true, \u3067\u3082\u3067\u304d\u308b\u304c\u7d50\u679c\u304c\u7570\u306a\u308b <\/span>\r\n<span class=\"cm\">  grid = true, *\/<\/span>\r\n\r\n  <span class=\"cm\">\/* y \u8ef8\u306e\u8868\u793a\u7bc4\u56f2\u306e\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span>, 1<span class=\"o\">.<\/span>1<span class=\"p\">]<\/span>, \r\n\r\n  <span class=\"cm\">\/* x \u8ef8 y \u8ef8\u3092\u63cf\u304f *\/<\/span>\r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span><span class=\"no\">true<\/span>, <span class=\"nv\">yaxis<\/span> <span class=\"o\">=<\/span><span class=\"no\">true<\/span>, \r\n\r\n  <span class=\"cm\">\/* x \u8ef8\u306e\u30e9\u30d9\u30eb\uff0cy \u8ef8\u306e\u30e9\u30d9\u30eb *\/<\/span>\r\n  <span class=\"nv\">xlabel<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"x\"<\/span>, <span class=\"nv\">ylabel<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"sin(x)\"<\/span>, \r\n\r\n  <span class=\"cm\">\/* \u7dda\u306e\u592a\u3055 line_width \u3092 2 \u306b *\/<\/span>\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5391\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mdtics-fig04.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<p><code>user_preamble = \"...\"<\/code> \u3067\u526f\u76ee\u76db\u3092\u6307\u5b9a\u3057\u305f\u5834\u5408\uff0c<code>user_preamble = \"set grid;\"<\/code> \u3067\u30b0\u30ea\u30c3\u30c9\u3092\u6307\u5b9a\u3057\u305f\u5834\u5408\u3068\uff0c<code>user_preamble<\/code> \u3067\u306f\u306a\u304f\uff0c<code>grid = true,<\/code> \u3067\u6307\u5b9a\u3057\u305f\u5834\u5408\u3067\u306f\u7d50\u679c\u304c\u7570\u306a\u308b\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\uff0c<code>grid = true,<\/code> \u3067\u6307\u5b9a\u3057\u305f\u5834\u5408\u306f\uff0c\u4e3b\u30fb\u526f\u76ee\u76db\u5168\u3066\u306b\u30b0\u30ea\u30c3\u30c9\u3092\u63cf\u3044\u3066\u3057\u307e\u3046\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-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u3064\u3051\u308b *\/<\/span>\r\n  <span class=\"cm\">\/* x \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 1 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"cm\">\/* y \u8ef8\u306e\u4e3b\u76ee\u76db\u3092 0.5 \u3054\u3068\u306b\uff1b \u526f\u76ee\u76db\u306f\u4e3b\u76ee\u76db\u30925\u7b49\u5206\u306b *\/<\/span>\r\n  <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"set xtics mirror; set ytics mirror;<\/span>\r\n<span class=\"s\">                   set xtics 1; set mxtics 5; <\/span>\r\n<span class=\"s\">                   set ytics 0.5; set mytics 5;<\/span>\r\n<span class=\"s\">                   \"<\/span>,\r\n  <span class=\"cm\">\/* \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f grid = true, \u3067\u3082\u3067\u304d\u308b\u304c\u7d50\u679c\u304c\u7570\u306a\u308b *\/<\/span>\r\n  <span class=\"nv\">grid<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, \r\n  <span class=\"cm\">\/* \u4e3b\u30fb\u526f\u76ee\u76db\u5168\u3066\u306b\u30b0\u30ea\u30c3\u30c9\u3092\u63cf\u3044\u3066\u3057\u307e\u3046 *\/<\/span>\r\n\r\n  <span class=\"cm\">\/* y \u8ef8\u306e\u8868\u793a\u7bc4\u56f2\u306e\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span>, 1<span class=\"o\">.<\/span>1<span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* x \u8ef8 y \u8ef8\u3092\u63cf\u304f *\/<\/span>\r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span><span class=\"no\">true<\/span>, <span class=\"nv\">yaxis<\/span> <span class=\"o\">=<\/span><span class=\"no\">true<\/span>, \r\n  <span class=\"cm\">\/* x \u8ef8\u306e\u30e9\u30d9\u30eb\uff0cy \u8ef8\u306e\u30e9\u30d9\u30eb *\/<\/span>\r\n  <span class=\"nv\">xlabel<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"x\"<\/span>, <span class=\"nv\">ylabel<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"sin(x)\"<\/span>, \r\n\r\n  <span class=\"cm\">\/* \u7dda\u306e\u592a\u3055 line_width \u3092 2 \u306b *\/<\/span>\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5392\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mdtics-fig05.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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=\"matplotlib.pyplot.plot()\"><code>matplotlib.pyplot.plot()<\/code><\/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=\"c1\"># NumPy \u3082\u4f7f\u3044\u307e\u3059<\/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<span class=\"c1\"># Matplotlib \u3067\u30b0\u30e9\u30d5\u3092\u63cf\u304d\u307e\u3059<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.pyplot<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">plt<\/span>\r\n\r\n<span class=\"c1\"># \u4ee5\u4e0b\u306f\u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a\u3055\u305b\u308b\u8a2d\u5b9a<\/span>\r\n<span class=\"o\">%<\/span><span class=\"k\">config<\/span> InlineBackend.figure_formats = ['svg']<\/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<h4 id=\"plt.plot()-\u306f\u6a19\u6e96\u3067\u306f\u4e0b\u3068\u5de6\u306b\u3057\u304b\u76ee\u76db\u304c\u3064\u304b\u306a\u3044\"><code>plt.plot()<\/code> \u306f\u6a19\u6e96\u3067\u306f\u4e0b\u3068\u5de6\u306b\u3057\u304b\u76ee\u76db\u304c\u3064\u304b\u306a\u3044<\/h4>\n<p>$y = \\sin x$ \u306e\u30b0\u30e9\u30d5\u3092 $-5 \\leq x \\leq 5$ \u306e\u7bc4\u56f2\u3067\u63cf\u304f\u4f8b\u3002<\/p>\n<p>\u307e\u305a\uff0c$x$ \u8ef8\u7528\u306b $-5 \\leq x \\leq 5$ \u3092\uff08\u3053\u3053\u3067\u306f\uff09200 \u7b49\u5206\u3057\u305f\u30ea\u30b9\u30c8 <code>x<\/code> \u3092\u4f5c\u308a\uff0c$y$ \u8ef8\u7528\u306b\u306f <code>y = np.sin(x)<\/code> \u3068\u3057\u305f\u30ea\u30b9\u30c8 <code>y<\/code> \u3092\u4f5c\u308a\uff0c <code>plt.plot(x, y)<\/code> \u3067\u30b0\u30e9\u30d5\u3092\u63cf\u304f\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[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><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\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">201<\/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\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/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=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><!-- Created with matplotlib (https:\/\/matplotlib.org\/) --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5394\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/ptics-fig01.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"plt.plot()-\u3067\u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u3064\u3051\u308b\"><code>plt.plot()<\/code> \u3067\u4e0a\u4e0b\u5de6\u53f3\u306b\uff08\u5185\u5411\u304d\u306b\uff09\u76ee\u76db\u3092\u3064\u3051\u308b<\/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[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\">#\u30b0\u30e9\u30d5\u306e\u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u4ed8\u3051\u308b\u3002<\/span>\r\n<span class=\"n\">f<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">f<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">(<\/span><span class=\"mi\">111<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># tick \u306e\u5411\u304d\u3092\u5185\u5074\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">tick_params<\/span><span class=\"p\">(<\/span><span class=\"n\">which<\/span> <span class=\"o\">=<\/span><span class=\"s2\">\"both\"<\/span><span class=\"p\">,<\/span><span class=\"n\">direction<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'in'<\/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=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><!-- Created with matplotlib (https:\/\/matplotlib.org\/) --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5395\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/ptics-fig02.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"plt.plot()-\u3067\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u8a2d\u5b9a\"><code>plt.plot()<\/code> \u3067\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u8a2d\u5b9a<\/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=\"c1\">#\u30b0\u30e9\u30d5\u306e\u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u4ed8\u3051\u308b\u3002<\/span>\r\n<span class=\"n\">f<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">f<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">(<\/span><span class=\"mi\">111<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># tick \u306e\u5411\u304d\u3092\u5185\u5074\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">tick_params<\/span><span class=\"p\">(<\/span><span class=\"n\">which<\/span> <span class=\"o\">=<\/span><span class=\"s2\">\"both\"<\/span><span class=\"p\">,<\/span><span class=\"n\">direction<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'in'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u306e\u4e3b\u76ee\u76db\u3092 1 \u523b\u307f\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># y \u306e\u4e3b\u76ee\u76db\u3092 0.5 \u523b\u307f\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">yticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u526f\u76ee\u76db\u3082\u8868\u793a\uff08\u526f\u76ee\u76db\u306e\u500b\u6570\u3068\u304b\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u306f\uff1f\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">minorticks_on<\/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=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><!-- Created with matplotlib (https:\/\/matplotlib.org\/) --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5396\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/ptics-fig03.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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<h4 id=\"\u305d\u306e\u4ed6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066...\">\u305d\u306e\u4ed6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066&#8230;<\/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[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\">#\u30b0\u30e9\u30d5\u306e\u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u4ed8\u3051\u308b\u3002<\/span>\r\n<span class=\"n\">f<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">f<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">(<\/span><span class=\"mi\">111<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># tick \u306e\u5411\u304d\u3092\u5185\u5074\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">tick_params<\/span><span class=\"p\">(<\/span><span class=\"n\">which<\/span> <span class=\"o\">=<\/span><span class=\"s2\">\"both\"<\/span><span class=\"p\">,<\/span><span class=\"n\">direction<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'in'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u306e\u4e3b\u76ee\u76db\u3092 1 \u523b\u307f\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># y \u306e\u4e3b\u76ee\u76db\u3092 0.5 \u523b\u307f\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">yticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u526f\u76ee\u76db\u3082\u8868\u793a\uff08\u526f\u76ee\u76db\u306e\u500b\u6570\u3068\u304b\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u306f\uff1f\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">minorticks_on<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u4e3b\u76ee\u76db\u306b\u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"major\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"lightgray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"--\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/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\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/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\">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\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">])<\/span>\r\n<span class=\"c1\"># y \u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8\u306e\u30e9\u30d9\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"x\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># y \u8ef8\u306e\u30e9\u30d9\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylabel<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"sin(x)\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u7dda\u306e\u592a\u3055 linewidth \u3092 2.5 \u306b<\/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\">y<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">2.5<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><!-- Created with matplotlib (https:\/\/matplotlib.org\/) --><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5397\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/ptics-fig04.svg\" alt=\"\" width=\"600\" height=\"450\" \/><\/p>\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=\"SymPy-+-SymPy-Plotting-Backends-(SPB)\">SymPy + SymPy Plotting Backends (SPB)<\/h3>\n<ul>\n<li><a href=\"https:\/\/www.sympy.org\/en\/index.html\">SymPy<\/a><\/li>\n<li><a href=\"https:\/\/sympy-plot-backends.readthedocs.io\/en\/latest\/index.html\">Welcome to Sympy Plotting Backends\u2019s documentation!<\/a><\/li>\n<\/ul>\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=\"SymPy-\u306e-plot()-\u306f\u6a19\u6e96\u3067\u306f\u5916\u67a0\u304c\u3064\u304b\u306a\u3044\">SymPy \u306e <code>plot()<\/code> \u306f\u6a19\u6e96\u3067\u306f\u5916\u67a0\u304c\u3064\u304b\u306a\u3044<\/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[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"kn\">from<\/span> <span class=\"nn\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n<span class=\"c1\"># 1\u6587\u5b57\u5909\u6570\u306e Symbol \u306e\u5b9a\u7fa9\u304c\u7701\u7565\u3067\u304d\u308b<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy.abc<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/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 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\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">))<\/span><span class=\"p\">;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5793\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtics-fig01-1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\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<h4 id=\"SPB-\u306e-plot()-\u306f\u6a19\u6e96\u3067\u306f\u4e0b\u3068\u5de6\u306b\u76ee\u76db\u304c\u3064\u304f\">SPB \u306e <code>plot()<\/code> \u306f\u6a19\u6e96\u3067\u306f\u4e0b\u3068\u5de6\u306b\u76ee\u76db\u304c\u3064\u304f<\/h4>\n<p>SPB \u3092 import \u3059\u308b\u3068\u5916\u67a0\u3068\u30b0\u30ea\u30c3\u30c9\u3082\u6a19\u6e96\u3067\u3064\u304f\u3002\u305d\u308c\u306f\u305d\u308c\u3067\u3042\u308a\u304c\u305f\u3044\u306e\u3060\u304c\uff0cgnuplot \u3084 Maxima \u3067\u6163\u308c\u305f\u76ee\u3067\u306f\uff0c\u5b9f\u7dda\u306e\u30b0\u30ea\u30c3\u30c9\u304c\u5c11\u3057\u76ee\u969c\u308a\u306b\u898b\u3048\u308b\u3002\u307e\u305f\uff0cPython \u306e Matplotlib \u754c\u9688\u3067\u306f $x$ \u8ef8\uff08$y=0$\uff09\u3084 $y$ \u8ef8\uff08$x=0$\uff09\u3092\uff08\u30b0\u30ea\u30c3\u30c9\u3068\u306f\u5225\u306b\uff09\u5f15\u304f\u6163\u7fd2\u304c\u306a\u3044\u306e\u304b\uff0c\u30aa\u30d7\u30b7\u30e7\u30f3\u304c\u898b\u5f53\u305f\u3089\u306a\u3044\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=\"kn\">from<\/span> <span class=\"nn\">spb<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n\r\n<span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">))<\/span><span class=\"p\">;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5794\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtics-fig02-1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\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<h4 id=\"SPB-plot()-\u3067\u4e0a\u4e0b\u5de6\u53f3\u306b\uff08\u5185\u5411\u304d\u306b\uff09\u76ee\u76db\u3092\u3064\u3051\u308b\">SPB <code>plot()<\/code> \u3067\u4e0a\u4e0b\u5de6\u53f3\u306b\uff08\u5185\u5411\u304d\u306b\uff09\u76ee\u76db\u3092\u3064\u3051\u308b<\/h4>\n<p>\u4e00\u65e6 SymPy Plotting Backends \u3067 <code>p = plot()<\/code> \u306a\u3069\u3068\u3057\u3066\u30d7\u30ed\u30c3\u30c8\u3057\u305f\u3089\uff0c\u3042\u3068\u306f <code>ax = p.ax<\/code> \u3068\u3057\u3066 <code>ax<\/code> \u306b\u5bfe\u3057\u3066\u901a\u5e38\u3069\u304a\u308a\u306e Matplotlib \u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u3092\u3057\u3066\u3044\u3051\u3070\u3088\u3044\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[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">p<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">show<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">ax<\/span>\r\n\r\n<span class=\"c1\"># \u4e00\u65e6 ax \u306b\u3057\u305f\u3089\u5f8c\u306f Matplotlib \u3068\u540c\u69d8\u306b<\/span>\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u4e0a\u4e0b\u5de6\u53f3\u306b\u76ee\u76db\u3092\u4ed8\u3051\u308b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># tick \u306e\u5411\u304d\u3092\u5185\u5074\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">tick_params<\/span><span class=\"p\">(<\/span><span class=\"n\">which<\/span> <span class=\"o\">=<\/span><span class=\"s2\">\"both\"<\/span><span class=\"p\">,<\/span><span class=\"n\">direction<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'in'<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5795\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtics-fig03-1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\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<h4 id=\"SPB-plot()-\u3067\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u8a2d\u5b9a\">SPB <code>plot()<\/code> \u3067\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u8a2d\u5b9a<\/h4>\n<p><code>np.linspace()<\/code> \u3084 <code>np.arange()<\/code> \u3092\u4f7f\u308f\u305a\uff0cNumPy \u306b\u983c\u3089\u305a\u306b ticks \u306e\u8a2d\u5b9a\u3092\u3057\u3066\u307f\u308b\u3002\u307e\u305f\uff0c\u30b0\u30ea\u30c3\u30c9\u3092\u7070\u8272\u306e\u7d30\u3081\u70b9\u7dda\u306b\u3057\u3066\uff0cgnuplot \u3084 Maxima \u306b\u3088\u3046\u306b\uff08\u3042\u307e\u308a\u76ee\u7acb\u305f\u306a\u3044\u3088\u3046\u306b\uff09\u3057\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[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u8868\u793a\u7bc4\u56f2\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">p<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> \r\n         <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">),<\/span> <span class=\"n\">show<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">ax<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">tick_params<\/span><span class=\"p\">(<\/span><span class=\"n\">which<\/span> <span class=\"o\">=<\/span><span class=\"s2\">\"both\"<\/span><span class=\"p\">,<\/span><span class=\"n\">direction<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'in'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u306e\u4e3b\u76ee\u76db\u3092 1 \u523b\u307f\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">)])<\/span>\r\n<span class=\"c1\"># y \u306e\u4e3b\u76ee\u76db\u3092 0.5 \u523b\u307f\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">([<\/span><span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">)])<\/span>\r\n\r\n<span class=\"c1\"># \u526f\u76ee\u76db\u3082\u8868\u793a<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">minorticks_on<\/span><span class=\"p\">()<\/span>\r\n<span class=\"c1\"># \u526f\u76ee\u76db\u306b\u306f grid \u3092\u3064\u3051\u306a\u3044<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"minor\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x \u306e\u526f\u76ee\u76db\u3092 0.2 \u523b\u307f\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"mf\">0.2<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">25<\/span><span class=\"p\">,<\/span><span class=\"mi\">26<\/span><span class=\"p\">)],<\/span> <span class=\"n\">minor<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">True<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># y \u306e\u526f\u76ee\u76db\u3092 0.1 \u523b\u307f\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">([<\/span><span class=\"mf\">0.1<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span><span class=\"mi\">11<\/span><span class=\"p\">)],<\/span> <span class=\"n\">minor<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">True<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u4e3b\u76ee\u76db\u306e grid \u3092\u7d30\u3044\u70b9\u7dda\u3067<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"major\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"lightgray\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5796\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtics-fig04-1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\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<h4 id=\"\u305d\u306e\u4ed6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066\u2026\">\u305d\u306e\u4ed6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3082\u3064\u3051\u3066\u2026<\/h4>\n<p>$x$ \u8ef8\uff08$y=0$\uff09\u3068 $y$ \u8ef8\uff08$x=0$\uff09\u3092\u5f15\u304f\u3002\u7279\u306b\u5c02\u7528\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u304c\u7528\u610f\u3055\u308c\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u3088\u3046\u306a\u306e\u3067\uff0c<code>axhline(0)<\/code> \u3068 <code>axvline(0)<\/code> \u3067\u9ed2\u8272\u306e\u7d30\u3081\u70b9\u7dda\u3067\u63cf\u3044\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[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u8ef8\u306e\u30e9\u30d9\u30eb<\/span>\r\n<span class=\"n\">p<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> \r\n         <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">),<\/span> \r\n         <span class=\"n\">xlabel<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"$x$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ylabel<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"$\\sin x$\"<\/span><span class=\"p\">,<\/span> \r\n         <span class=\"n\">show<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">ax<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">tick_params<\/span><span class=\"p\">(<\/span><span class=\"n\">which<\/span> <span class=\"o\">=<\/span><span class=\"s2\">\"both\"<\/span><span class=\"p\">,<\/span><span class=\"n\">direction<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'in'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/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\">minorticks_on<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"minor\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"mf\">0.2<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">25<\/span><span class=\"p\">,<\/span><span class=\"mi\">26<\/span><span class=\"p\">)],<\/span> <span class=\"n\">minor<\/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\">set_yticks<\/span><span class=\"p\">([<\/span><span class=\"mf\">0.1<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span><span class=\"mi\">11<\/span><span class=\"p\">)],<\/span> <span class=\"n\">minor<\/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\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"major\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"lightgray\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\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\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/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\">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\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5797\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtics-fig05-1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\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<h4 id=\"\u6a2a\u8ef8\u306e\u76ee\u76db\u3092-\u03c0\/2--\u3054\u3068\u306b\">\u6a2a\u8ef8\u306e\u76ee\u76db\u3092 \u03c0\/2 \u3054\u3068\u306b<\/h4>\n<p><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5736\/#xticks_yticks\">\u5225\u30da\u30fc\u30b8<\/a>\u306b\u3082\u307e\u3068\u3081\u3066\u3044\u308b\u304c\uff0c\u6a2a\u8ef8\u306e\u4e3b\u76ee\u76db xticks \u3092 $\\pi\/2$ \u3054\u3068\u306b\uff0c\u526f\u76ee\u76db\u3092 $\\pi\/10$ \u3054\u3068\u306b\u6253\u3064\u4f8b\u3002\u65e2\u7d04\u5206\u6570\u8868\u8a18\u306b\u3059\u308b\u3068\u3053\u308d\u304c\u5de5\u592b\u3057\u305f\u70b9\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=\"c1\"># \u03c0<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">pi<\/span>\r\n<span class=\"n\">Pi<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">float<\/span><span class=\"p\">(<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">p<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">),<\/span> \r\n         <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">),<\/span> \r\n         <span class=\"n\">xlabel<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"$x$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">ylabel<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"$\\sin x$\"<\/span><span class=\"p\">,<\/span> \r\n         <span class=\"n\">show<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">ax<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8\u306e\u4e3b\u76ee\u76db\u306f 0.5\u03c0 \u3054\u3068\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[(<\/span><span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">)<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)])<\/span>\r\n<span class=\"c1\"># x \u8ef8\u306e\u4e3b\u76ee\u76db\u306e\u30e9\u30d9\u30eb\u3002\u65e2\u7d04\u5206\u6570\u8868\u8a18\u3067\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticklabels<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[(<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">Rational<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"mi\">2<\/span><span class=\"p\">))<\/span><span class=\"o\">+<\/span><span class=\"s2\">\" $\\pi$\"<\/span><span class=\"p\">)<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)])<\/span>\r\n<span class=\"c1\"># \u624b\u52d5\u3067\u8a2d\u5b9a\u3059\u308b\u5834\u5408<\/span>\r\n<span class=\"c1\"># ax.set_xticklabels(<\/span>\r\n<span class=\"c1\">#    [\"$-2 \\pi$\", \" $-3 \\pi\/2$\", \"-$\\pi$\", \"-$\\pi\/2$\", \"0\",<\/span>\r\n<span class=\"c1\">#     \"$\\pi\/2$\", \"$\\pi$\", \"$3\\pi\/2$\", \"$2\\pi$\"])<\/span>\r\n\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">([(<\/span><span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"p\">)<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">)])<\/span>\r\n\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ticks_position<\/span><span class=\"p\">(<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">tick_params<\/span><span class=\"p\">(<\/span><span class=\"n\">which<\/span> <span class=\"o\">=<\/span><span class=\"s2\">\"both\"<\/span><span class=\"p\">,<\/span><span class=\"n\">direction<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'in'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">minorticks_on<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">False<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"minor\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u306e\u526f\u76ee\u76db\u3092 0.1\u03c0 \u3054\u3068\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span>\r\n    <span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"p\">)<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">20<\/span><span class=\"p\">,<\/span><span class=\"mi\">21<\/span><span class=\"p\">)],<\/span> <span class=\"n\">minor<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">True<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">([(<\/span><span class=\"mf\">0.1<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"p\">)<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span><span class=\"mi\">11<\/span><span class=\"p\">)],<\/span> <span class=\"n\">minor<\/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\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"major\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"lightgray\"<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\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\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/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\">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\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5798\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtics-fig06.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>20\u4e16\u7d00\u306e\u5927\u6614\uff0c\u30b5\u30a4\u30a8\u30f3\u30c6\u30a3\u30d5\u30a3\u30c3\u30af\u306a\u30b0\u30e9\u30d5\u3068\u3044\u3046\u3082\u306e\u306f\u4e0a\u4e0b\u5de6\u53f3\u8ef8\u306b\u76ee\u76db\u3092\u3064\u3051\u308b\u3082\u306e\u3060\u3068\u5049\u3044\u5148\u751f\u306b\u6559\u3048\u3089\u308c\u305f\u3053\u3068\u304c\u3042\u308b\u3002\u305d\u306e\u7406\u7531\u306f\uff0c\u5b9a\u898f\u3092\u6c34\u5e73\u307e\u305f\u306f\u5782\u76f4\u306b\u5f53\u3066\u3066\u30b0\u30e9\u30d5\u306e\u66f2\u7dda\u304b\u3089\u6570\u5024\u3092\u8aad\u307f\u53d6\u308b\u305f\u3081\u3060\u3068\u8a00\u308f\u308c\u3066\uff0c\u5999\u306b\u611f\u5fc3\u3057\u305f\u3053\u3068\u3092\u899a\u3048\u3066\u3044\u308b\u3002\u3068\u3044\u3046\u308f\u3051\u3067\uff0c\u4e0a\u4e0b\u5de6\u53f3\u8ef8\u306b\u76ee\u76db\u3092\u3064\u3051\u305f\uff0c\u30b5\u30a4\u30a8\u30f3\u30c6\u30a3\u30d5\u30a3\u30c3\u30af\u306a\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u4f8b\u3002<\/p>\n<p>SymPy + SymPy Plotting Backends (SPB) \u3092\u8ffd\u52a0\u30022023.3.18<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5241\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\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":[15,13,14,12],"tags":[],"class_list":["post-5241","post","type-post","status-publish","format-standard","hentry","category-gnuplot","category-matplotlib","category-maxima","category-sympy","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\" 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