{"id":5475,"date":"2023-03-02T15:55:36","date_gmt":"2023-03-02T06:55:36","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=5475"},"modified":"2023-03-14T16:13:34","modified_gmt":"2023-03-14T07:13:34","slug":"maxima-%e3%81%a7%e6%ad%a3%e8%a6%8f%e5%88%86%e5%b8%83%e3%82%92%cf%83%e3%81%94%e3%81%a8%e3%81%ab%e5%a1%97%e3%82%8a%e3%82%8f%e3%81%91%e3%82%8b","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5475\/","title":{"rendered":"Maxima \u3067\u6b63\u898f\u5206\u5e03\u3092\u03c3\u3054\u3068\u306b\u5857\u308a\u308f\u3051\u308b"},"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>\u300c<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5467\/\">gnuplot \u3067\u6b63\u898f\u5206\u5e03\u3092\u03c3\u3054\u3068\u306b\u5857\u308a\u308f\u3051\u308b<\/a>\u300d\u306e Maxima \u7248\u3002<\/p>\n<p>\u4ee5\u4e0b\u3092\u53c2\u8003\u306b\uff0c<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%83%95%E3%82%A1%E3%82%A4%E3%83%AB:Standard_deviation_diagram.svg\">\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304c\u3082\u3064\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/a>\u3092\u63cf\u3044\u3066\u307f\u308b\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E6%AD%A3%E8%A6%8F%E5%88%86%E5%B8%83\">\u6b63\u898f\u5206\u5e03 &#8211; Wikipedia<\/a><\/li>\n<li><a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E8%AA%A4%E5%B7%AE%E9%96%A2%E6%95%B0\">\u8aa4\u5dee\u95a2\u6570 &#8211; Wikipedia<\/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=\"\u6b63\u898f\u5206\u5e03\u95a2\u6570\">\u6b63\u898f\u5206\u5e03\u95a2\u6570<\/h3>\n<p>$$N(\\mu, \\sigma^2) \\equiv \\frac{1}{\\sqrt{2\\pi} \\sigma} \\exp\\left\\{ \u2013 \\frac{(x-\\mu)^2}{2\\sigma^2}\\right\\}$$<\/p>\n<p>\u7c21\u5358\u306e\u305f\u3081\u306b\uff0c$\\mu = 0, \\sigma = 1$ \u3068\u3057\u305f\u6a19\u6e96\u6b63\u898f\u5206\u5e03 $f(x)$ \u3092\u4f7f\u3046\u3053\u3068\u306b\u3059\u308b\u3002<\/p>\n<p>$$f(x) \\equiv N(0, 1) = \\frac{1}{\\sqrt{2\\pi}} \\exp\\left( \u2013 \\frac{x^2}{2}\\right)$$<\/p>\n<h3 id=\"\u8aa4\u5dee\u95a2\u6570\">\u8aa4\u5dee\u95a2\u6570<\/h3>\n<p>$$\\mbox{erf}(x) \\equiv \\frac{2}{\\sqrt{\\pi}} \\int_0^x e^{-t^2}\\, dt $$<\/p>\n<h3 id=\"\u6b63\u898f\u5206\u5e03\u306e\u7a4d\u5206\u3092\u8aa4\u5dee\u95a2\u6570\u3067\u8868\u3059\">\u6b63\u898f\u5206\u5e03\u306e\u7a4d\u5206\u3092\u8aa4\u5dee\u95a2\u6570\u3067\u8868\u3059<\/h3>\n<p>\\begin{eqnarray}<br \/>\nF(x_1, x_2) &amp;\\equiv&amp; \\int_{x_1}^{x_2} f(t)\\, dt \\\\<br \/>\n&amp;=&amp; \\frac{1}{\\sqrt{2\\pi}} \\int_{x_1}^{x_2}\\exp\\left( \u2013 \\frac{t^2}{2}\\right)\\, dt \\\\<br \/>\n&amp;&amp; \\quad\\left(\\frac{t}{\\sqrt{2}} \\equiv x, \\ dt = \\sqrt{2} dx \\right) \\\\<br \/>\n&amp;=&amp; \\frac{1}{\\sqrt{\\pi}} \\int_{\\frac{x_1}{\\sqrt{2}}}^{\\frac{x_2}{\\sqrt{2}}} e^{-x^2} \\,dx \\\\<br \/>\n&amp;=&amp; \\frac{1}{2} \\left(\\mbox{erf}\\left(\\frac{x_2}{\\sqrt{2}}\\right)-\\mbox{erf}\\left(\\frac{x_1}{\\sqrt{2}}\\right) \\right)<br \/>\n\\end{eqnarray}<\/p>\n<p>Maxima \u306b\u306f\u7d44\u307f\u8fbc\u307f\u95a2\u6570\u3068\u3057\u3066\uff0c\u8aa4\u5dee\u95a2\u6570 <code>erf(x)<\/code> \u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<div class=\"highlight\">\n<pre>? <span class=\"nv\">erf<\/span>;\r\n\r\n<span class=\"o\">--<\/span> <span class=\"nv\">Function<\/span><span class=\"o\">:<\/span> <span class=\"nf\">erf<\/span> <span class=\"p\">(<\/span><span class=\"o\">&lt;<\/span><span class=\"nv\">z<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">)<\/span>\r\n     <span class=\"nv\">The<\/span> <span class=\"nv\">Error<\/span> <span class=\"nv\">Function<\/span> <span class=\"nf\">erf<\/span><span class=\"p\">(<\/span><span class=\"nv\">z<\/span><span class=\"p\">)<\/span> <span class=\"p\">(<\/span><span class=\"nv\">A<\/span>&amp;<span class=\"nv\">S<\/span> 7<span class=\"o\">.<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n     <span class=\"nv\">See<\/span> <span class=\"nv\">also<\/span> <span class=\"nv\">flag<\/span> <span class=\"o\">'<\/span><span class=\"nv\">erfflag<\/span><span class=\"o\">'.<\/span>\r\n<\/pre>\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[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> 1<span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">(<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">)<\/span> <span class=\"o\">*<\/span> <span class=\"nf\">exp<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"nv\">x<\/span><span class=\"o\">**<\/span>2<span class=\"o\">\/<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>;\r\n<span class=\"nf\">F<\/span><span class=\"p\">(<\/span><span class=\"nv\">x1<\/span>, <span class=\"nv\">x2<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">float<\/span><span class=\"p\">(<\/span>1<span class=\"o\">\/<\/span><span class=\"mi\">2<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"nf\">erf<\/span><span class=\"p\">(<\/span><span class=\"nv\">x2<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span><span class=\"p\">))<\/span> <span class=\"o\">-<\/span> <span class=\"nf\">erf<\/span><span class=\"p\">(<\/span><span class=\"nv\">x1<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/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 output_prompt\">Out[1]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{1}$}f\\left(x\\right):=\\frac{1}{\\sqrt{2\\,\\pi}}\\,\\exp \\left(\\frac{-x^2}{2}\\right)\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[1]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{2}$}F\\left(x_{1} , x_{2}\\right):={\\it float}\\left(\\frac{1}{2}\\,\\left(\\mathrm{erf}\\left(\\frac{x_{2}}{\\sqrt{2}}\\right)-\\mathrm{erf}\\left(\\frac{x_{1}}{\\sqrt{2}}\\right)\\right)\\right)\\]<\/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=\"\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3092-draw2d()\">\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3092 draw2d()<\/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-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"mi\">4<\/span><span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5555\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu01b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u03c3\u3054\u3068\u306b\u5857\u308a\u308f\u3051\u308b\">\u03c3\u3054\u3068\u306b\u5857\u308a\u308f\u3051\u308b<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5857\u308a\u308f\u3051\u308b\u8272 *\/<\/span>\r\n<span class=\"nv\">c<\/span><span class=\"o\">:<\/span> <span class=\"p\">[<\/span><span class=\"s\">\"#0000ff\"<\/span>,<span class=\"s\">\"#1e90ff\"<\/span>,<span class=\"s\">\"#87ceeb\"<\/span>,<span class=\"s\">\"#add8e6\"<\/span><span class=\"p\">]<\/span>$\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[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=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n\r\n  <span class=\"cm\">\/* \u03c3\u3054\u3068\u306b\u5857\u308a\u308f\u3051; \u5857\u308a\u3064\u3076\u3057\u958b\u59cb *\/<\/span>\r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">([<\/span><span class=\"nv\">fill_color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">c<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"nv\">i<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span>, <span class=\"nv\">i<\/span><span class=\"p\">)]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n  <span class=\"cm\">\/* \u5857\u308a\u3064\u3076\u3057\u7d42\u4e86 *\/<\/span>\r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  \r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"mi\">4<\/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-large wp-image-5556\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu02b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/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=\"\u5857\u308a\u5206\u3051\u305f\u9818\u57df\u3092\u767d\u7dda\u3067\u533a\u5207\u308b\">\u5857\u308a\u5206\u3051\u305f\u9818\u57df\u3092\u767d\u7dda\u3067\u533a\u5207\u308b<\/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[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=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">([<\/span><span class=\"nv\">fill_color<\/span><span class=\"o\">=<\/span><span class=\"nv\">c<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"nv\">i<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span>,<span class=\"nv\">i<\/span><span class=\"p\">)]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u7e26\u7dda\u3092\u5f15\u304f; \u7aef\u70b9\u306b\u306f\u70b9\u3092\u63cf\u304b\u306a\u3044 *\/<\/span>\r\n  <span class=\"nv\">points_joined<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>, 0<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>, <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"p\">)]])<\/span>, <span class=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">3<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"mi\">4<\/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-large wp-image-5557\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu03b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/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=\"\u6a2a\u8ef8\u306e\u76ee\u76db\u30e9\u30d9\u30eb\u3092\u8a2d\u5b9a\u3059\u308b\">\u6a2a\u8ef8\u306e\u76ee\u76db\u30e9\u30d9\u30eb\u3092\u8a2d\u5b9a\u3059\u308b<\/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[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=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Times\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u6a2a\u8ef8\u306e\u76ee\u76db\u30e9\u30d9\u30eb\u3092\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{[<\/span><span class=\"s\">\"\u03bc-4\u03c3\"<\/span>,<span class=\"o\">-<\/span>4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-3\u03c3\"<\/span>,<span class=\"o\">-<\/span>3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-2\u03c3\"<\/span>,<span class=\"o\">-<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-\u03c3\"<\/span>,<span class=\"o\">-<\/span>1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc\"<\/span>,0<span class=\"p\">]<\/span>, \r\n           <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+4\u03c3\"<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+3\u03c3\"<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+2\u03c3\"<\/span>, 2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+\u03c3\"<\/span>, 1<span class=\"p\">]}<\/span>,\r\n\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">([<\/span><span class=\"nv\">fill_color<\/span><span class=\"o\">=<\/span><span class=\"nv\">c<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"nv\">i<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span>,<span class=\"nv\">i<\/span><span class=\"p\">)]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  \r\n  <span class=\"nv\">points_joined<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>, 0<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>, <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"p\">)]])<\/span>, <span class=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">3<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"mi\">4<\/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-large wp-image-5558\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu04b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/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=\"\u5857\u308a\u5206\u3051\u305f\u9818\u57df\u306b\u30e9\u30d9\u30eb\u3092\u3064\u3051\u308b\">\u5857\u308a\u5206\u3051\u305f\u9818\u57df\u306b\u30e9\u30d9\u30eb\u3092\u3064\u3051\u308b<\/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[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5404\u9818\u57df\u306e\u30d1\u30fc\u30bb\u30f3\u30c8\u3092\u8868\u3059\u6587\u5b57\u5217\u3092\u914d\u5217\u3068\u3057\u3066\u4f5c\u6210 *\/<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"nv\">i<\/span><span class=\"o\">:<\/span><span class=\"mi\">1<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">4<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nv\">sig<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span><span class=\"o\">:<\/span> <span class=\"nf\">printf<\/span><span class=\"p\">(<\/span><span class=\"no\">false<\/span>, <span class=\"s\">\"~5,2f\uff05\"<\/span>, <span class=\"nf\">F<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span>,<span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/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_latex output_subarea \">34.13\uff05<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_latex output_subarea \">13.59\uff05<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_latex output_subarea \">2.14\uff05<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_latex output_subarea \">0.13\uff05<\/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[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=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Times\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{[<\/span><span class=\"s\">\"\u03bc-4\u03c3\"<\/span>,<span class=\"o\">-<\/span>4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-3\u03c3\"<\/span>,<span class=\"o\">-<\/span>3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-2\u03c3\"<\/span>,<span class=\"o\">-<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-\u03c3\"<\/span>,<span class=\"o\">-<\/span>1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc\"<\/span>,0<span class=\"p\">]<\/span>, \r\n           <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+4\u03c3\"<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+3\u03c3\"<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+2\u03c3\"<\/span>, 2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+\u03c3\"<\/span>, 1<span class=\"p\">]}<\/span>,\r\n\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">([<\/span><span class=\"nv\">fill_color<\/span><span class=\"o\">=<\/span><span class=\"nv\">c<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"nv\">i<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span>,<span class=\"nv\">i<\/span><span class=\"p\">)]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  \r\n  <span class=\"nv\">points_joined<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>, 0<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>, <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"p\">)]])<\/span>, <span class=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">3<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u9818\u57df\u306b\u30e9\u30d9\u30eb\u3092\u3064\u3051\u308b*\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>1<span class=\"p\">]<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">0.5<\/span>,0<span class=\"o\">.<\/span>20<span class=\"p\">])<\/span>, <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>1<span class=\"p\">]<\/span>, <span class=\"mf\">0.5<\/span>,0<span class=\"o\">.<\/span>20<span class=\"p\">])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>2<span class=\"p\">]<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.5<\/span>,0<span class=\"o\">.<\/span>05<span class=\"p\">])<\/span>, <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>2<span class=\"p\">]<\/span>, <span class=\"mf\">1.5<\/span>,0<span class=\"o\">.<\/span>05<span class=\"p\">])<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">black<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>3<span class=\"p\">]<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">2.5<\/span>,0<span class=\"o\">.<\/span>06<span class=\"p\">])<\/span>, <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>3<span class=\"p\">]<\/span>, <span class=\"mf\">2.5<\/span>,0<span class=\"o\">.<\/span>06<span class=\"p\">])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>4<span class=\"p\">]<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>,0<span class=\"o\">.<\/span>02<span class=\"p\">])<\/span>, <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>4<span class=\"p\">]<\/span>, <span class=\"mf\">3.5<\/span>,0<span class=\"o\">.<\/span>02<span class=\"p\">])<\/span>,\r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"mi\">4<\/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-large wp-image-5559\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu05b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/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=\"\u67a0\u3068\u7e26\u8ef8\u76ee\u76db\u3092\u975e\u8868\u793a\u306b\">\u67a0\u3068\u7e26\u8ef8\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* user_preamble \u3067\u76f4\u63a5 gnuplot \u7684\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"unset border;set xtics out;\"<\/span>,\r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">xaxis_type<\/span><span class=\"o\">=<\/span><span class=\"nv\">solid<\/span>, <span class=\"nv\">xaxis_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, \r\n  \r\n  <span class=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Times\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{[<\/span><span class=\"s\">\"\u03bc-4\u03c3\"<\/span>,<span class=\"o\">-<\/span>4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-3\u03c3\"<\/span>,<span class=\"o\">-<\/span>3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-2\u03c3\"<\/span>,<span class=\"o\">-<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-\u03c3\"<\/span>,<span class=\"o\">-<\/span>1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc\"<\/span>,0<span class=\"p\">]<\/span>, \r\n           <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+4\u03c3\"<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+3\u03c3\"<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+2\u03c3\"<\/span>, 2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+\u03c3\"<\/span>, 1<span class=\"p\">]}<\/span>,\r\n\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">([<\/span><span class=\"nv\">fill_color<\/span><span class=\"o\">=<\/span><span class=\"nv\">c<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>, \r\n            <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"nv\">i<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span>,<span class=\"nv\">i<\/span><span class=\"p\">)]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  \r\n  <span class=\"nv\">points_joined<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>, 0<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>, <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span><span class=\"p\">)]])<\/span>, <span class=\"nv\">i<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">3<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>,\r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>1<span class=\"p\">]<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">0.5<\/span>,0<span class=\"o\">.<\/span>20<span class=\"p\">])<\/span>, <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>1<span class=\"p\">]<\/span>, <span class=\"mf\">0.5<\/span>,0<span class=\"o\">.<\/span>20<span class=\"p\">])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>2<span class=\"p\">]<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.5<\/span>,0<span class=\"o\">.<\/span>05<span class=\"p\">])<\/span>, <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>2<span class=\"p\">]<\/span>, <span class=\"mf\">1.5<\/span>,0<span class=\"o\">.<\/span>05<span class=\"p\">])<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">black<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>3<span class=\"p\">]<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">2.5<\/span>,0<span class=\"o\">.<\/span>06<span class=\"p\">])<\/span>, <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>3<span class=\"p\">]<\/span>, <span class=\"mf\">2.5<\/span>,0<span class=\"o\">.<\/span>06<span class=\"p\">])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>4<span class=\"p\">]<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>,0<span class=\"o\">.<\/span>02<span class=\"p\">])<\/span>, <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig<\/span><span class=\"p\">[<\/span>4<span class=\"p\">]<\/span>, <span class=\"mf\">3.5<\/span>,0<span class=\"o\">.<\/span>02<span class=\"p\">])<\/span>,\r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"mi\">4<\/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-large wp-image-5560\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu06b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/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=\"-n\u03c3-\u304b\u3089-+n\u03c3-\u307e\u3067\u3092\u5857\u308a\u3064\u3076\u3059\">-n\u03c3 \u304b\u3089 +n\u03c3 \u307e\u3067\u3092\u5857\u308a\u3064\u3076\u3059<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[10]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5404\u9818\u57df\u306e\u30d1\u30fc\u30bb\u30f3\u30c8\u3092\u8868\u3059\u6587\u5b57\u5217\u3092\u914d\u5217\u3068\u3057\u3066\u4f5c\u6210 *\/<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"nv\">i<\/span><span class=\"o\">:<\/span><span class=\"mi\">1<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">4<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nv\">sig2<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span><span class=\"o\">:<\/span> <span class=\"nf\">printf<\/span><span class=\"p\">(<\/span><span class=\"no\">false<\/span>, <span class=\"s\">\"~5,2f\uff05\"<\/span>, <span class=\"nf\">F<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"nv\">i<\/span>,<span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"nv\">sig2<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/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_latex output_subarea \">68.27\uff05<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_latex output_subarea \">95.45\uff05<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_latex output_subarea \">99.73\uff05<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_latex output_subarea \">99.99\uff05<\/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[11]:<\/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=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"unset border;set xtics out;\"<\/span>,\r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">xaxis_type<\/span><span class=\"o\">=<\/span><span class=\"nv\">solid<\/span>,\r\n  \r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Times\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{[<\/span><span class=\"s\">\"\"<\/span>,<span class=\"o\">-<\/span>4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>,<span class=\"o\">-<\/span>3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>,<span class=\"o\">-<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-\u03c3\"<\/span>,<span class=\"o\">-<\/span>1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc\"<\/span>,0<span class=\"p\">]<\/span>, \r\n           <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>, 2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+\u03c3\"<\/span>, 1<span class=\"p\">]}<\/span>,\r\n\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">fill_color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"#0000ff\"<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">1<\/span>, <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n    \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig2<\/span><span class=\"p\">[<\/span>1<span class=\"p\">]<\/span>, <span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>15<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <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\">f<\/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\">1<\/span>, <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">gray<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"mi\">1<\/span>, <span class=\"mi\">4<\/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-large wp-image-5561\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu07b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[12]:<\/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=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"unset border;set xtics out;\"<\/span>,\r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">xaxis_type<\/span><span class=\"o\">=<\/span><span class=\"nv\">solid<\/span>,\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Times\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{[<\/span><span class=\"s\">\"\"<\/span>,<span class=\"o\">-<\/span>4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>,<span class=\"o\">-<\/span>3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-2\u03c3\"<\/span>,<span class=\"o\">-<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-\u03c3\"<\/span>,<span class=\"o\">-<\/span>1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc\"<\/span>,0<span class=\"p\">]<\/span>, \r\n           <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+2\u03c3\"<\/span>, 2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+\u03c3\"<\/span>, 1<span class=\"p\">]}<\/span>,\r\n\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">fill_color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"#1e90ff\"<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">2<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n    \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig2<\/span><span class=\"p\">[<\/span>2<span class=\"p\">]<\/span>, <span class=\"mi\">0<\/span>,0<span class=\"o\">.<\/span>15<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <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\">f<\/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\">2<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">gray<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"mi\">2<\/span>, <span class=\"mi\">4<\/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-large wp-image-5562\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu08b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[13]:<\/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=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"unset border;set xtics out;\"<\/span>,\r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">xaxis_type<\/span><span class=\"o\">=<\/span><span class=\"nv\">solid<\/span>,\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Times\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{[<\/span><span class=\"s\">\"\"<\/span>,<span class=\"o\">-<\/span>4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-3\u03c3\"<\/span>,<span class=\"o\">-<\/span>3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-2\u03c3\"<\/span>,<span class=\"o\">-<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-\u03c3\"<\/span>,<span class=\"o\">-<\/span>1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc\"<\/span>,0<span class=\"p\">]<\/span>, \r\n           <span class=\"p\">[<\/span><span class=\"s\">\"\"<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+3\u03c3\"<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+2\u03c3\"<\/span>, 2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+\u03c3\"<\/span>, 1<span class=\"p\">]}<\/span>,\r\n\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">fill_color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"#87ceeb\"<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">3<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n    \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">black<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig2<\/span><span class=\"p\">[<\/span>3<span class=\"p\">]<\/span>, <span class=\"mi\">0<\/span>,0<span class=\"o\">.<\/span>15<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <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\">f<\/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\">3<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">gray<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"mi\">3<\/span>, <span class=\"mi\">4<\/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-large wp-image-5563\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu09b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[14]:<\/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=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,240<span class=\"p\">]<\/span>,\r\n  <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n  <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"unset border;set xtics out;\"<\/span>,\r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">xaxis_type<\/span><span class=\"o\">=<\/span><span class=\"nv\">solid<\/span>,\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Times\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{[<\/span><span class=\"s\">\"\u03bc-4\u03c3\"<\/span>,<span class=\"o\">-<\/span>4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-3\u03c3\"<\/span>,<span class=\"o\">-<\/span>3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-2\u03c3\"<\/span>,<span class=\"o\">-<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc-\u03c3\"<\/span>,<span class=\"o\">-<\/span>1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc\"<\/span>,0<span class=\"p\">]<\/span>, \r\n           <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+4\u03c3\"<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+3\u03c3\"<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+2\u03c3\"<\/span>, 2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"s\">\"\u03bc+\u03c3\"<\/span>, 1<span class=\"p\">]}<\/span>,\r\n\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">4<\/span>, 4<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">fill_color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"#add8e6\"<\/span>, \r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/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\">4<\/span>, <span class=\"mi\">4<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nv\">filled_func<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, \r\n    \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">black<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"nv\">sig2<\/span><span class=\"p\">[<\/span>4<span class=\"p\">]<\/span>, <span class=\"mi\">0<\/span>,0<span class=\"o\">.<\/span>15<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <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\">f<\/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\">4<\/span>, <span class=\"mi\">4<\/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-large wp-image-5564\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mbunpu10b.svg\" alt=\"\" width=\"640\" height=\"240\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u300cgnuplot \u3067\u6b63\u898f\u5206\u5e03\u3092\u03c3\u3054\u3068\u306b\u5857\u308a\u308f\u3051\u308b\u300d\u306e Maxima \u7248\u3002<\/p>\n<p>\u4ee5\u4e0b\u3092\u53c2\u8003\u306b\uff0c\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304c\u3082\u3064\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u307f\u308b\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5475\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>\u6b63\u898f\u5206\u5e03 &#8211; Wikipedia<\/li>\n<li>\u8aa4\u5dee\u95a2\u6570 &#8211; Wikipedia<\/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":[14],"tags":[],"class_list":["post-5475","post","type-post","status-publish","format-standard","hentry","category-maxima","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5475","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=5475"}],"version-history":[{"count":5,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5475\/revisions"}],"predecessor-version":[{"id":5565,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5475\/revisions\/5565"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=5475"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=5475"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=5475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}