{"id":3971,"date":"2022-09-29T10:11:36","date_gmt":"2022-09-29T01:11:36","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=3971"},"modified":"2023-03-28T18:01:04","modified_gmt":"2023-03-28T09:01:04","slug":"maxima-%e3%81%a7%e7%b0%a1%e5%8d%98%e3%81%aa%e9%9b%bb%e6%b0%97%e5%8a%9b%e7%b7%9a%e3%83%bb%e7%a3%81%e5%8a%9b%e7%b7%9a%e3%82%92%e6%8f%8f%e3%81%8f","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/3971\/","title":{"rendered":"Maxima \u3067\u7c21\u5358\u306a\u96fb\u6c17\u529b\u7dda\u30fb\u78c1\u529b\u7dda\u3092\u63cf\u304f"},"content":{"rendered":"<p>\u300c<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/3643\/\">gnuplot \u3067\u5ea7\u6a19\u3092\u30d5\u30a1\u30a4\u30eb\u304b\u3089\u8aad\u307f\u8fbc\u3093\u3067\u96fb\u6c17\u529b\u7dda\u30fb\u78c1\u529b\u7dda\u3092\u63cf\u304f<\/a>\u300d\u306e Maxima \u7248\u3002<!--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=\"\u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834-$\\boldsymbol{E}$\">\u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834 $\\boldsymbol{E}$<\/h3>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e9%9d%99%e9%9b%bb%e5%a0%b4%ef%bc%9a%e9%9b%bb%e8%8d%b7%e5%af%86%e5%ba%a6%e3%81%8b%e3%82%89%e7%9b%b4%e6%8e%a5%e9%9b%bb%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b\/#i-2\">\u70b9\u96fb\u8377\u306e\u96fb\u8377\u5bc6\u5ea6\u3068\u96fb\u5834<\/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=\"\u6b63\u306e\u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834\">\u6b63\u306e\u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/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>\u4f4d\u7f6e $\\boldsymbol{r}_1$ \u306b\u6b63\u306e\u70b9\u96fb\u8377 $q_1$ \u304c\u3042\u308b\u5834\u5408\u306e\u96fb\u5834\u306f<\/p>\n<p>$$\\boldsymbol{E} = \\frac{q_1}{4\\pi \\varepsilon_0}<br \/>\n\\frac{\\boldsymbol{r} &#8211; \\boldsymbol{r}_1}{|\\boldsymbol{r} &#8211; \\boldsymbol{r}_1|^3}$$<\/p>\n<p>\u96fb\u5834\u306e\u5411\u304d\u3092\u8868\u3059\u5358\u4f4d\u30d9\u30af\u30c8\u30eb $\\hat{\\boldsymbol{E}}$ \u306f<\/p>\n<p>$$\\hat{\\boldsymbol{E}}<br \/>\n\\equiv \\frac{\\boldsymbol{E}}{\\sqrt{\\boldsymbol{E}\\cdot\\boldsymbol{E}}}<br \/>\n= \\frac{\\boldsymbol{r} &#8211; \\boldsymbol{r}_1}{|\\boldsymbol{r} &#8211; \\boldsymbol{r}_1|}$$<\/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\">kill<\/span><span class=\"p\">(<\/span><span class=\"nv\">all<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"cm\">\/* \u6b63\u96fb\u8377\u306e\u4f4d\u7f6e *\/<\/span>\r\n<span class=\"p\">[<\/span><span class=\"nv\">x1<\/span>, <span class=\"nv\">y1<\/span><span class=\"p\">]<\/span><span class=\"o\">:<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]<\/span>$\r\n\r\n<span class=\"cm\">\/* \u96fb\u6c17\u529b\u7dda *\/<\/span>\r\n<span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">j<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">%pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">8<\/span> <span class=\"o\">*<\/span> <span class=\"nv\">j<\/span>$\r\n<span class=\"nv\">xy_line<\/span><span class=\"o\">:<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"nf\">parametric<\/span><span class=\"p\">(<\/span><span class=\"nv\">x1<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">r<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">j<\/span><span class=\"p\">))<\/span>, <span class=\"nv\">y1<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">r<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">j<\/span><span class=\"p\">))<\/span>, <span class=\"nv\">r<\/span>, <span class=\"mf\">0.2<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>, \r\n      <span class=\"nv\">j<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">15<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d hat E *\/<\/span>\r\n<span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"o\">-<\/span><span class=\"nv\">x1<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">((<\/span><span class=\"nv\">x<\/span><span class=\"o\">-<\/span><span class=\"nv\">x1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"nv\">y<\/span><span class=\"o\">-<\/span><span class=\"nv\">y1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"p\">(<\/span><span class=\"nv\">y<\/span><span class=\"o\">-<\/span><span class=\"nv\">y1<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">((<\/span><span class=\"nv\">x<\/span><span class=\"o\">-<\/span><span class=\"nv\">x1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"nv\">y<\/span><span class=\"o\">-<\/span><span class=\"nv\">y1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* 2\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306f vector([\u59cb\u70b9\u306ex, \u59cb\u70b9\u306ey], [x\u6210\u5206, y\u6210\u5206]) *\/<\/span>\r\n<span class=\"nf\">vecE<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">]<\/span>, <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)])<\/span>$\r\n\r\n<span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u7528\u5ea7\u6a19\u30d5\u30a1\u30a4\u30eb *\/<\/span>\r\n<span class=\"cm\">\/* \u77e2\u5370\u306e\u6df7\u96d1\u9632\u6b62\u306e\u305f\u3081\u9069\u5b9c\u9593\u5f15\u304f *\/<\/span>\r\n<span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">\/<\/span>2$\r\n<span class=\"nv\">scaling<\/span><span class=\"o\">:<\/span> 0<span class=\"o\">.<\/span>2$\r\n\r\n<span class=\"nv\">coordxy<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">()<\/span>$\r\n<span class=\"k\">for<\/span> <span class=\"nv\">i<\/span><span class=\"o\">:<\/span><span class=\"mi\">2<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">8<\/span> <span class=\"k\">step<\/span> <span class=\"mi\">3<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"k\">for<\/span> <span class=\"nv\">j<\/span><span class=\"o\">:<\/span><span class=\"mi\">0<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">16<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"nv\">coordxy<\/span><span class=\"o\">:<\/span> \r\n      <span class=\"nf\">append<\/span><span class=\"p\">(<\/span><span class=\"nv\">coordxy<\/span>,<span class=\"p\">[[<\/span><span class=\"nv\">x1<\/span><span class=\"o\">+<\/span><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">j<\/span><span class=\"p\">))<\/span>, <span class=\"nv\">y1<\/span><span class=\"o\">+<\/span><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">j<\/span><span class=\"p\">))]])<\/span>\r\n  <span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e\u30c7\u30fc\u30bf *\/<\/span>\r\n<span class=\"nv\">vecfE<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">vecE<\/span><span class=\"p\">(<\/span><span class=\"nv\">k<\/span><span class=\"p\">[<\/span>1<span class=\"p\">]<\/span>, <span class=\"nv\">k<\/span><span class=\"p\">[<\/span>2<span class=\"p\">])<\/span>, <span class=\"nv\">k<\/span>, <span class=\"nv\">coordxy<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Arial\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  <span class=\"nv\">nticks<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">100<\/span>,\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>, 3<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>, 3<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">proportional_axes<\/span><span class=\"o\">=<\/span><span class=\"nv\">xy<\/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=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>,\r\n  <span class=\"nv\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"\u6b63\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834\"<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u6b63\u96fb\u8377\u306e\u4f4d\u7f6e *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">black<\/span>,\r\n  <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">1.5<\/span>, \r\n  <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"nv\">x1<\/span>, <span class=\"nv\">y1<\/span><span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\uff0b\"<\/span>, <span class=\"nv\">x1<\/span>, <span class=\"nv\">y1<\/span><span class=\"p\">])<\/span>,   \r\n\r\n  <span class=\"cm\">\/* \u96fb\u6c17\u529b\u7dda *\/<\/span>\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nv\">xy_line<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u77e2\u306e\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">head_length<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.1<\/span>,\r\n  <span class=\"nv\">head_angle<\/span>  <span class=\"o\">=<\/span> <span class=\"mi\">20<\/span>, \r\n  <span class=\"cm\">\/* \u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d *\/<\/span>\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">4<\/span>,\r\n  <span class=\"nv\">vecfE<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3972\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxvec-fig01d.svg\" alt=\"\" width=\"600\" height=\"500\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\n<span class=\"nf\">system<\/span><span class=\"p\">(<\/span><span class=\"s\">\"cp ~\/.maxplot.svg .\/maxvec-fig01d.svg\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u8ca0\u306e\u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834\">\u8ca0\u306e\u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">kill<\/span><span class=\"p\">(<\/span><span class=\"nv\">all<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"cm\">\/* \u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e *\/<\/span>\r\n<span class=\"p\">[<\/span><span class=\"nv\">x2<\/span>, <span class=\"nv\">y2<\/span><span class=\"p\">]<\/span><span class=\"o\">:<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]<\/span>$\r\n\r\n<span class=\"cm\">\/* \u96fb\u6c17\u529b\u7dda *\/<\/span>\r\n<span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">%pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">8<\/span> <span class=\"o\">*<\/span> <span class=\"nv\">j<\/span>$\r\n<span class=\"nv\">xy_line<\/span><span class=\"o\">:<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"nf\">parametric<\/span><span class=\"p\">(<\/span><span class=\"nv\">x2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">r<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">))<\/span>, <span class=\"nv\">y2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">r<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">))<\/span>, <span class=\"nv\">r<\/span>, <span class=\"mf\">0.2<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>, \r\n      <span class=\"nv\">j<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">15<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d hat E *\/<\/span>\r\n<span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"o\">-<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"o\">-<\/span><span class=\"nv\">x2<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">((<\/span><span class=\"nv\">x<\/span><span class=\"o\">-<\/span><span class=\"nv\">x2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"nv\">y<\/span><span class=\"o\">-<\/span><span class=\"nv\">y2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"o\">-<\/span><span class=\"p\">(<\/span><span class=\"nv\">y<\/span><span class=\"o\">-<\/span><span class=\"nv\">y2<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">((<\/span><span class=\"nv\">x<\/span><span class=\"o\">-<\/span><span class=\"nv\">x2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"nv\">y<\/span><span class=\"o\">-<\/span><span class=\"nv\">y2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* 2\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306f vector([\u59cb\u70b9\u306ex, \u59cb\u70b9\u306ey], [x\u6210\u5206, y\u6210\u5206]) *\/<\/span>\r\n<span class=\"nf\">vecE<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">]<\/span>, <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)])<\/span>$\r\n\r\n<span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u7528\u5ea7\u6a19\u30d5\u30a1\u30a4\u30eb *\/<\/span>\r\n<span class=\"cm\">\/* \u77e2\u5370\u306e\u6df7\u96d1\u9632\u6b62\u306e\u305f\u3081\u9069\u5b9c\u9593\u5f15\u304f *\/<\/span>\r\n<span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">\/<\/span>2$\r\n<span class=\"nv\">scaling<\/span><span class=\"o\">:<\/span> 0<span class=\"o\">.<\/span>2$\r\n\r\n<span class=\"nv\">coordxy<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">()<\/span>$\r\n<span class=\"k\">for<\/span> <span class=\"nv\">i<\/span><span class=\"o\">:<\/span><span class=\"mi\">2<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">8<\/span> <span class=\"k\">step<\/span> <span class=\"mi\">3<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"k\">for<\/span> <span class=\"nv\">j<\/span><span class=\"o\">:<\/span><span class=\"mi\">0<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">16<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"nv\">coordxy<\/span><span class=\"o\">:<\/span> \r\n      <span class=\"nf\">append<\/span><span class=\"p\">(<\/span><span class=\"nv\">coordxy<\/span>,<span class=\"p\">[[<\/span><span class=\"nv\">x2<\/span><span class=\"o\">+<\/span><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">))<\/span>, <span class=\"nv\">y2<\/span><span class=\"o\">+<\/span><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">))]])<\/span>\r\n  <span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e\u30c7\u30fc\u30bf *\/<\/span>\r\n<span class=\"nv\">vecfE<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">vecE<\/span><span class=\"p\">(<\/span><span class=\"nv\">k<\/span><span class=\"p\">[<\/span>1<span class=\"p\">]<\/span>, <span class=\"nv\">k<\/span><span class=\"p\">[<\/span>2<span class=\"p\">])<\/span>, <span class=\"nv\">k<\/span>, <span class=\"nv\">coordxy<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Arial\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>,\r\n  <span class=\"nv\">nticks<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">100<\/span>,\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>, 3<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>, 3<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">proportional_axes<\/span><span class=\"o\">=<\/span><span class=\"nv\">xy<\/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=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>,\r\n  <span class=\"nv\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"\u8ca0\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834\"<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">black<\/span>,\r\n  <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">1.5<\/span>, \r\n  <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"nv\">x2<\/span>, <span class=\"nv\">y2<\/span><span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\u30fc\"<\/span>, <span class=\"nv\">x2<\/span>, <span class=\"nv\">y2<\/span><span class=\"p\">])<\/span>,   \r\n\r\n  <span class=\"cm\">\/* \u96fb\u6c17\u529b\u7dda *\/<\/span>\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nv\">xy_line<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u77e2\u306e\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">head_length<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.1<\/span>,\r\n  <span class=\"nv\">head_angle<\/span>  <span class=\"o\">=<\/span> <span class=\"mi\">20<\/span>, \r\n  <span class=\"cm\">\/* \u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d *\/<\/span>\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">4<\/span>,\r\n  <span class=\"nv\">vecfE<\/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-3973\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxvec-fig02d.svg\" alt=\"\" width=\"600\" height=\"500\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\n<span class=\"nf\">system<\/span><span class=\"p\">(<\/span><span class=\"s\">\"cp ~\/.maxplot.svg .\/maxvec-fig02d.svg\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing 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=\"\u4e00\u69d8\u306a\u7dda\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834\">\u4e00\u69d8\u306a\u7dda\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/h3>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e9%9d%99%e9%9b%bb%e5%a0%b4%ef%bc%9a%e9%9b%bb%e8%8d%b7%e5%af%86%e5%ba%a6%e3%81%8b%e3%82%89%e7%9b%b4%e6%8e%a5%e9%9b%bb%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b\/#i-4\">\u4e00\u69d8\u306a\u7dda\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/a><\/li>\n<\/ul>\n<p>$z$ \u8ef8\u4e0a\u306e\u4e00\u69d8\u306a\u7dda\u96fb\u8377\u5bc6\u5ea6 $\\lambda (\\mbox{C}\/\\mbox{m})$ \u306b\u3088\u308b\u96fb\u5834\u306f\uff0c$\\boldsymbol{r} \\equiv (x, y, 0), \\ r^2 \\equiv \\boldsymbol{r} \\cdot\\boldsymbol{r} $ \u3068\u3057\u3066\u307e\u3068\u3081\u308b\u3068<\/p>\n<p>$$\\boldsymbol{E} = \\frac{\\lambda}{2\\pi\\varepsilon_0} \\frac{\\boldsymbol{r}}{r^2}$$<\/p>\n<p>\u5b9a\u6570\u90e8\u5206\u3092\u9069\u5b9c\u898f\u683c\u5316\u3057\u3066<\/p>\n<p>\\begin{eqnarray}<br \/>\nE_x &amp;\\Rightarrow&amp; \\frac{x}{x^2 + y^2} \\\\<br \/>\nE_x &amp;\\Rightarrow&amp; \\frac{y}{x^2 + y^2} \\\\<br \/>\n\\end{eqnarray}<\/p>\n<p>\u898f\u683c\u5316\u3057\u3066\uff0c\u96fb\u5834\u306e\u5411\u304d\u3092\u8868\u3059\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u306f<\/p>\n<p>$$\\hat{\\boldsymbol{E}} = \\frac{\\boldsymbol{E}}{\\sqrt{\\boldsymbol{E}\\cdot\\boldsymbol{E}}}$$<\/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=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u3002*\/<\/span>\r\n<span class=\"cm\">\/* \u8a2d\u5b9a\u3092\u8ffd\u52a0\u3059\u308b\u5834\u5408\u306e\u4f8b\u3002\u8ffd\u52a0\u3059\u308b\u9805\u76ee\u3060\u3051\u3067\u306a\u304f\uff0c\u5168\u90e8\u66f8\u304f\u5fc5\u8981\u3042\u308a\u3002<\/span>\r\n<span class=\"cm\">   fig \u306e\u30b5\u30a4\u30ba\u3092 640x640 \u306b\u5909\u66f4\u3002 default \u3067\u306f [600,500] *\/<\/span>\r\n<span class=\"cm\">\/* set_draw_defaults(file_name=\"~\/.maxplot\", terminal='svg, \r\n                     dimensions=[640,640])$ *\/<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">kill<\/span><span class=\"p\">(<\/span><span class=\"nv\">all<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"cm\">\/* \u96fb\u5834\u30d9\u30af\u30c8\u30eb E *\/<\/span>\r\n<span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">x<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">y<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u898f\u683c\u5316\u3055\u308c\u305f\u96fb\u5834\u30d9\u30af\u30c8\u30eb hat E*\/<\/span>\r\n<span class=\"nf\">E<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nf\">hEx<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"nf\">E<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nf\">hEy<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"nf\">E<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u96fb\u6c17\u529b\u7dda *\/<\/span>\r\n<span class=\"cm\">\/* parametric() \u3067\u63cf\u304f\u52d5\u5f84\u65b9\u5411\u306e\u76f4\u7dda\u306e\u30ea\u30b9\u30c8\u3068\u3059\u308b *\/<\/span>\r\n<span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">j<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">%pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">6<\/span> <span class=\"o\">*<\/span> <span class=\"nv\">j<\/span>$\r\n<span class=\"nf\">E_line<\/span><span class=\"p\">(<\/span><span class=\"nv\">z<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span>  \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"nf\">parametric<\/span><span class=\"p\">(<\/span><span class=\"nv\">r<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">j<\/span><span class=\"p\">))<\/span>, <span class=\"nv\">r<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nf\">the<\/span><span class=\"p\">(<\/span><span class=\"nv\">j<\/span><span class=\"p\">))<\/span>, <span class=\"nv\">z<\/span>, <span class=\"nv\">r<\/span>, <span class=\"mf\">0.2<\/span>, <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>, \r\n      <span class=\"nv\">j<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">11<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9 *\/<\/span>\r\n<span class=\"nv\">coordxyz<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">()<\/span>$\r\n<span class=\"k\">for<\/span> <span class=\"nv\">z<\/span><span class=\"o\">:<\/span><span class=\"mi\">0<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">2<\/span> <span class=\"k\">step<\/span> <span class=\"mi\">2<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"k\">for<\/span> <span class=\"nv\">i<\/span><span class=\"o\">:<\/span> <span class=\"mi\">0<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">11<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"nv\">th<\/span><span class=\"o\">:<\/span> 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">12<\/span> <span class=\"o\">*<\/span> <span class=\"nv\">i<\/span>,\r\n    <span class=\"k\">for<\/span> <span class=\"nv\">j<\/span><span class=\"o\">:<\/span> <span class=\"mi\">3<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">3<\/span> <span class=\"k\">step<\/span> <span class=\"mi\">1<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n      <span class=\"nv\">coordxyz<\/span><span class=\"o\">:<\/span> <span class=\"nf\">append<\/span><span class=\"p\">(<\/span><span class=\"nv\">coordxyz<\/span>, <span class=\"p\">[[<\/span>0<span class=\"o\">.<\/span>5<span class=\"o\">*<\/span><span class=\"nv\">j<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">th<\/span><span class=\"p\">)<\/span>, 0<span class=\"o\">.<\/span>5<span class=\"o\">*<\/span><span class=\"nv\">j<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">th<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">z<\/span><span class=\"p\">]])<\/span>\r\n    <span class=\"p\">)<\/span>\r\n  <span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* 3\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306f *\/<\/span>\r\n<span class=\"cm\">\/* vector([\u59cb\u70b9\u306ex, \u59cb\u70b9\u306ey, \u59cb\u70b9\u306ez], [x\u6210\u5206, y\u6210\u5206, z\u6210\u5206]) *\/<\/span>\r\n<span class=\"nv\">scaling<\/span><span class=\"o\">:<\/span> 0<span class=\"o\">.<\/span>4$\r\n<span class=\"nf\">vechE<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span>, <span class=\"nv\">z<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span>, <span class=\"nv\">z<\/span><span class=\"p\">]<\/span>, <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"nf\">hEx<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">hEy<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, 0<span class=\"p\">])<\/span>$\r\n\r\n<span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e\u30c7\u30fc\u30bf *\/<\/span>\r\n<span class=\"nv\">vecfhE<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">vechE<\/span><span class=\"p\">(<\/span><span class=\"nv\">k<\/span><span class=\"p\">[<\/span>1<span class=\"p\">]<\/span>, <span class=\"nv\">k<\/span><span class=\"p\">[<\/span>2<span class=\"p\">]<\/span>, <span class=\"nv\">k<\/span><span class=\"p\">[<\/span>3<span class=\"p\">])<\/span>, <span class=\"nv\">k<\/span>, <span class=\"nv\">coordxyz<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"nf\">draw3d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* title \u306e\u30d5\u30a9\u30f3\u30c8\u30b5\u30a4\u30ba\u306e\u5909\u66f4\u4f8b\u3002gnuplot \u306e\u6d41\u5100\u3002 *\/<\/span>\r\n  <span class=\"nv\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"{\/=16 \u4e00\u69d8\u306a\u7dda\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834}\"<\/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\">3<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"nv\">zrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 3<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ztics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/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>, <span class=\"nv\">zaxis<\/span><span class=\"o\">=<\/span><span class=\"no\">true<\/span>,\r\n  <span class=\"nv\">xyplane<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>, \r\n  <span class=\"nv\">view<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">60<\/span>, 15<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u7dda\u96fb\u8377 *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">black<\/span>, \r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">4<\/span>, <span class=\"nv\">key<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"\u7dda\u96fb\u8377\"<\/span>,\r\n  <span class=\"nf\">parametric<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span>,<span class=\"mi\">0<\/span>,<span class=\"nv\">v<\/span>, <span class=\"nv\">v<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mf\">2.5<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nv\">key<\/span><span class=\"o\">=<\/span><span class=\"s\">\"\"<\/span>,\r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u77e2\u306e\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">head_length<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.1<\/span>,\r\n  <span class=\"nv\">head_angle<\/span>  <span class=\"o\">=<\/span> <span class=\"mi\">20<\/span>, \r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">3<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"#C6DBEF\"<\/span>, \r\n  <span class=\"nv\">vecfhE<\/span>, \r\n\r\n  <span class=\"cm\">\/* \u96fb\u6c17\u529b\u7dda *\/<\/span>\r\n  <span class=\"nv\">colorbox<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>,\r\n  <span class=\"cm\">\/* blues.pal \u6539 *\/<\/span>\r\n  <span class=\"nv\">palette<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"s\">\"#DEEBF7\"<\/span>, \r\n             <span class=\"s\">\"#C6DBEF\"<\/span>, \r\n             <span class=\"s\">\"#9ECAE1\"<\/span>, \r\n             <span class=\"s\">\"#6BAED6\"<\/span>, \r\n             <span class=\"s\">\"#4292C6\"<\/span>, \r\n             <span class=\"s\">\"#2171B5\"<\/span>, \r\n             <span class=\"s\">\"#084594\"<\/span>, \r\n             <span class=\"s\">\"#000040\"<\/span><span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* \u96fb\u5834 E \u306e\u5927\u304d\u3055\u3067\u8272\u306e\u6fc3\u6de1\u3092\u3064\u3051\u308b *\/<\/span>\r\n  <span class=\"nv\">enhanced3d<\/span> <span class=\"o\">=<\/span> <span class=\"nf\">E<\/span><span class=\"p\">(<\/span><span class=\"nv\">r<\/span>,<span class=\"mi\">0<\/span><span class=\"p\">)<\/span>, \r\n  <span class=\"nf\">E_line<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">E_line<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/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-3974\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxvec-fig-sen.svg\" alt=\"\" width=\"600\" height=\"500\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\n<span class=\"nf\">system<\/span><span class=\"p\">(<\/span><span class=\"s\">\"cp ~\/.maxplot.svg .\/maxvec-fig-sen.svg\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing 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=\"\u4e00\u69d8\u306a\u9762\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834\">\u4e00\u69d8\u306a\u9762\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/h3>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e9%9d%99%e9%9b%bb%e5%a0%b4%ef%bc%9a%e9%9b%bb%e8%8d%b7%e5%af%86%e5%ba%a6%e3%81%8b%e3%82%89%e7%9b%b4%e6%8e%a5%e9%9b%bb%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b\/#i-6\">\u4e00\u69d8\u306a\u9762\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834<\/a><\/li>\n<\/ul>\n<p>$x = 0$ \u306e $yz$ \u5e73\u9762\u4e0a\u306e\u4e00\u69d8\u306a\u96fb\u8377\u5bc6\u5ea6 $\\sigma$ \u306b\u3088\u308b\u96fb\u5834\u306f<\/p>\n<p>\\begin{eqnarray}<br \/>\nE_x &amp;=&amp; \\frac{\\sigma}{2 \\varepsilon_0} \\frac{x}{|x|} \\\\<br \/>\nE_y &amp;=&amp; 0 \\\\<br \/>\nE_z &amp;=&amp; 0<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3068\u306a\u308a\uff0c\u9762\u96fb\u8377\u306b\u5782\u76f4\u3067\u5927\u304d\u3055\u306f\u4e00\u5b9a\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\">kill<\/span><span class=\"p\">(<\/span><span class=\"nv\">all<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u96fb\u78c1\u5834\u30d9\u30af\u30c8\u30eb\u3092\u30ea\u30b9\u30c8\u306b\u3059\u308b *\/<\/span>\r\n<span class=\"cm\">\/* x &gt; 0 \u5074 *\/<\/span>\r\n<span class=\"nv\">vechE1<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"mf\">0.5<\/span>, <span class=\"mi\">0<\/span>, <span class=\"nv\">zi<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"mi\">3<\/span>, <span class=\"mi\">0<\/span>, 0<span class=\"p\">])<\/span>, <span class=\"nv\">zi<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">2<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"cm\">\/* x &lt; 0 \u5074 *\/<\/span>\r\n<span class=\"nv\">vechE2<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span><span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span>, <span class=\"mi\">0<\/span>, <span class=\"nv\">zi<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span>, <span class=\"mi\">0<\/span>, 0<span class=\"p\">])<\/span>, <span class=\"nv\">zi<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">2<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"nf\">draw3d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* title \u306e\u30d5\u30a9\u30f3\u30c8\u30b5\u30a4\u30ba\u306e\u5909\u66f4\u4f8b\u3002gnuplot \u306e\u6d41\u5100\u3002 *\/<\/span>\r\n  <span class=\"nv\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"{\/=16 \u4e00\u69d8\u306a\u9762\u96fb\u8377\u306b\u3088\u308b\u96fb\u5834}\"<\/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\">3<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"nv\">zrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span>, 3<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, \r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ztics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>,\r\n  <span class=\"nv\">axis_3d<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">xyplane<\/span><span class=\"o\">=-<\/span><span class=\"mi\">3<\/span>,\r\n  <span class=\"nv\">view<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">60<\/span>, 20<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"cm\">\/* x=0 (yz \u5e73\u9762) *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">gray30<\/span>,\r\n  <span class=\"cm\">\/* \u523b\u307f\u3092\u7d30\u304b\u304f\u3057\u3066\u5857\u308a\u3064\u3076\u3057\u611f\u3092\u51fa\u3059 *\/<\/span>\r\n  <span class=\"nv\">xu_grid<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">240<\/span>,\r\n  <span class=\"nv\">yv_grid<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">240<\/span>,\r\n  <span class=\"nf\">parametric_surface<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span>, <span class=\"nv\">u<\/span>, <span class=\"nv\">v<\/span>, <span class=\"nv\">u<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, <span class=\"mi\">5<\/span>, <span class=\"nv\">v<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u96fb\u78c1\u5834\u30d9\u30af\u30c8\u30eb *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>,\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">4<\/span>,\r\n  <span class=\"nv\">head_length<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.2<\/span>,\r\n  <span class=\"nv\">head_angle<\/span>  <span class=\"o\">=<\/span> <span class=\"mi\">20<\/span>, \r\n  <span class=\"nv\">vechE1<\/span>, <span class=\"nv\">vechE2<\/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-3975\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxvec-fig-men.svg\" alt=\"\" width=\"600\" height=\"500\" \/><\/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[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\n<span class=\"nf\">system<\/span><span class=\"p\">(<\/span><span class=\"s\">\"cp ~\/.maxplot.svg .\/maxvec-fig-men.svg\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing 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=\"\u76f4\u7dda\u96fb\u6d41\u306b\u3088\u308b\u78c1\u5834-$\\boldsymbol{B}$\">\u76f4\u7dda\u96fb\u6d41\u306b\u3088\u308b\u78c1\u5834 $\\boldsymbol{B}$<\/h3>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e9%9d%99%e7%a3%81%e5%a0%b4%ef%bc%9a%e9%9b%bb%e6%b5%81%e5%af%86%e5%ba%a6%e3%81%8b%e3%82%89%e7%9b%b4%e6%8e%a5%e9%9d%99%e7%a3%81%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b\/#i-2\">\u76f4\u7dda\u96fb\u6d41\u306b\u3088\u308b\u78c1\u5834<\/a><\/li>\n<\/ul>\n<p>$z$ \u8ef8\u306e\u96fb\u6d41 $I$ \u306b\u3088\u308b\u78c1\u5834\u306f\uff0c$\\boldsymbol{I} = (0, 0, I)$\uff0c $\\boldsymbol{\\rho} = (x, y, 0)$ \u3068\u3057\u3066<\/p>\n<p>$$\\boldsymbol{B} = \\frac{1}{2\\pi \\varepsilon_0 c^2}<br \/>\n\\frac{\\boldsymbol{I}\\times\\boldsymbol{\\rho}}{\\boldsymbol{\\rho}\\cdot\\boldsymbol{\\rho}} $$<\/p>\n<p>$\\boldsymbol{B}$ \u304c\u5e38\u306b $z$ \u8ef8\u304b\u3089\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb $\\boldsymbol{\\rho}$ \u306b\u5782\u76f4\u3067\u3042\u308b\u3053\u3068\u304b\u3089\uff0c$\\boldsymbol{B}$ \u3092\u63a5\u30d9\u30af\u30c8\u30eb\u3068\u3059\u308b\u78c1\u529b\u7dda\u306f $z$ \u8ef8\u3092\u4e2d\u5fc3\u3068\u3057\u305f\u5186\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n<h4 id=\"draw2d-\u7248\">draw2d \u7248<\/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[10]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">kill<\/span><span class=\"p\">(<\/span><span class=\"nv\">all<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u78c1\u529b\u7dda *\/<\/span>\r\n<span class=\"cm\">\/* \u96fb\u7dda\u306b\u8fd1\u3044\u65b9\u304c\u5bc6\u3067\u592a\u304f\u306a\u308b\u3088\u3046\u306b\u3057\u3066\u307f\u308b *\/<\/span>\r\n<span class=\"nv\">B_lines<\/span><span class=\"o\">:<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>, \r\n     <span class=\"nf\">polar<\/span><span class=\"p\">(<\/span>3<span class=\"o\">*<\/span><span class=\"p\">(<\/span>2<span class=\"o\">.\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"nv\">i<\/span>, <span class=\"nv\">theta<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">)]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u78c1\u5834\u30d9\u30af\u30c8\u30eb\u306e\u77e2\u5370\u30ea\u30b9\u30c8\u3092\u4f5c\u6210 *\/<\/span>\r\n<span class=\"nv\">scaling<\/span><span class=\"o\">:<\/span> 0<span class=\"o\">.<\/span>5$\r\n<span class=\"nv\">vecs1<\/span><span class=\"o\">:<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>,\r\n     <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span>3<span class=\"o\">*<\/span><span class=\"p\">(<\/span>2<span class=\"o\">.\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"nv\">i<\/span>, 0<span class=\"p\">]<\/span>,\r\n     <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">])]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">5<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nv\">vecs2<\/span><span class=\"o\">:<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>,\r\n     <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span>3<span class=\"o\">*<\/span><span class=\"p\">(<\/span>2<span class=\"o\">.\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"nv\">i<\/span>, 0<span class=\"p\">]<\/span>,\r\n     <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">])]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">5<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"nv\">vecs3<\/span><span class=\"o\">:<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>,\r\n     <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span>, 3<span class=\"o\">*<\/span><span class=\"p\">(<\/span>2<span class=\"o\">.\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span>,\r\n     <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span>, 0<span class=\"p\">])]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"mi\">5<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"nv\">vecs4<\/span><span class=\"o\">:<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>,\r\n     <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>3<span class=\"o\">*<\/span><span class=\"p\">(<\/span>2<span class=\"o\">.\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"nv\">i<\/span><span class=\"p\">]<\/span>,\r\n     <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span>, 0<span class=\"p\">])]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"mi\">5<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* draw2d \u3067\u30b0\u30e9\u30d5\u306b\u3059\u308b *\/<\/span>\r\n<span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u5168\u4f53\u7684\u306a\u30d5\u30a9\u30f3\u30c8\u306e\u8a2d\u5b9a\u4f8b *\/<\/span>\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Arial\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>, \r\n  <span class=\"nv\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"\u76f4\u7dda\u96fb\u6d41\u306b\u3088\u308b\u78c1\u5834\"<\/span>,\r\n  <span class=\"nv\">nticks<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">100<\/span>,\r\n  \r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>, 3<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>, 3<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">proportional_axes<\/span><span class=\"o\">=<\/span><span class=\"nv\">xy<\/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=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>,\r\n\r\n  <span class=\"cm\">\/* \u96fb\u7dda\u306e\u4f4d\u7f6e *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">red<\/span>,\r\n  <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, \r\n  <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"p\">]])<\/span>, \r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\u30fb\"<\/span>, <span class=\"mi\">0<\/span>, 0<span class=\"p\">])<\/span>,   \r\n\r\n  <span class=\"cm\">\/* \u78c1\u529b\u7dda *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">forest_green<\/span>,   \r\n  <span class=\"nv\">B_lines<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u78c1\u5834\u30d9\u30af\u30c8\u30eb *\/<\/span>\r\n  <span class=\"nv\">head_length<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.1<\/span>,\r\n  <span class=\"nv\">head_angle<\/span>  <span class=\"o\">=<\/span> <span class=\"mi\">20<\/span>, \r\n  <span class=\"nv\">vecs1<\/span>, <span class=\"nv\">vecs2<\/span>, <span class=\"nv\">vecs3<\/span>, <span class=\"nv\">vecs4<\/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-3976\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxvec-fig07d.svg\" alt=\"\" width=\"600\" height=\"500\" \/><\/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[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\n<span class=\"nf\">system<\/span><span class=\"p\">(<\/span><span class=\"s\">\"cp ~\/.maxplot.svg .\/maxvec-fig07d.svg\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing 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=\"draw3d-\u7248\">draw3d \u7248<\/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[12]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">kill<\/span><span class=\"p\">(<\/span><span class=\"nv\">all<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u78c1\u529b\u7dda *\/<\/span>\r\n<span class=\"cm\">\/* \u96fb\u7dda\u306b\u8fd1\u3044\u65b9\u304c\u5bc6\u3067\u592a\u304f\u306a\u308b\u3088\u3046\u306b\u3057\u3066\u307f\u308b *\/<\/span>\r\n<span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> 3<span class=\"o\">*<\/span><span class=\"p\">(<\/span>2<span class=\"o\">.\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"nv\">i<\/span>$\r\n\r\n<span class=\"cm\">\/* \u5965\u306e\u78c1\u529b\u7dda *\/<\/span>\r\n<span class=\"nf\">B_linesp<\/span><span class=\"p\">(<\/span><span class=\"nv\">z<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>, \r\n     <span class=\"nf\">parametric<\/span><span class=\"p\">(<\/span><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">th<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">th<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">z<\/span>, <span class=\"nv\">th<\/span>, <span class=\"mi\">0<\/span>, <span class=\"nv\">%pi<\/span><span class=\"p\">)]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u624b\u524d\u306e\u78c1\u529b\u7dda *\/<\/span>\r\n<span class=\"nf\">B_linesm<\/span><span class=\"p\">(<\/span><span class=\"nv\">z<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>, \r\n     <span class=\"nf\">parametric<\/span><span class=\"p\">(<\/span><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">th<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">i<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">th<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">z<\/span>, <span class=\"nv\">th<\/span>, <span class=\"nv\">%pi<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">)]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u78c1\u5834\u30d9\u30af\u30c8\u30eb\u306e\u77e2\u5370\u30ea\u30b9\u30c8\u3092\u4f5c\u6210 *\/<\/span>\r\n<span class=\"nv\">scaling<\/span><span class=\"o\">:<\/span> 0<span class=\"o\">.<\/span>6$\r\n\r\n<span class=\"nf\">vecs1<\/span><span class=\"p\">(<\/span><span class=\"nv\">z<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>,\r\n     <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span>3<span class=\"o\">*<\/span><span class=\"p\">(<\/span>2<span class=\"o\">.\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"nv\">z<\/span><span class=\"p\">]<\/span>,\r\n     <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, <span class=\"mi\">1<\/span>, 0<span class=\"p\">])]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">4<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"nf\">vecs2<\/span><span class=\"p\">(<\/span><span class=\"nv\">z<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> \r\n  <span class=\"nf\">makelist<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[<\/span><span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span>,\r\n     <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span>3<span class=\"o\">*<\/span><span class=\"p\">(<\/span>2<span class=\"o\">.\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"nv\">z<\/span><span class=\"p\">]<\/span>,\r\n     <span class=\"nv\">scaling<\/span><span class=\"o\">*<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">1<\/span>, 0<span class=\"p\">])]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">4<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* draw3d \u3067\u30b0\u30e9\u30d5\u306b\u3059\u308b *\/<\/span>\r\n<span class=\"nf\">draw3d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u5168\u4f53\u7684\u306a\u30d5\u30a9\u30f3\u30c8\u306e\u8a2d\u5b9a\u4f8b *\/<\/span>\r\n  <span class=\"nv\">font<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Arial\"<\/span>, <span class=\"nv\">font_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">16<\/span>, \r\n  <span class=\"nv\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"\u76f4\u7dda\u96fb\u6d41\u306b\u3088\u308b\u78c1\u5834\"<\/span>,\r\n  <span class=\"nv\">nticks<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">100<\/span>,\r\n  \r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>, 3<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">3.5<\/span>, 3<span class=\"o\">.<\/span>5<span class=\"p\">]<\/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=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>, <span class=\"nv\">ztics<\/span> <span class=\"o\">=<\/span> <span class=\"no\">false<\/span>,\r\n  <span class=\"nv\">zrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, 3<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xyplane<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>,\r\n  <span class=\"nv\">view<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">50<\/span>,30<span class=\"p\">]<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u5965\u306e\u78c1\u529b\u7dda *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">forest_green<\/span>,   \r\n  <span class=\"nf\">B_linesp<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">B_linesp<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.5<\/span><span class=\"p\">)<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u96fb\u6d41 *\/<\/span>\r\n  <span class=\"nv\">head_length<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.3<\/span>,\r\n  <span class=\"nv\">head_angle<\/span>  <span class=\"o\">=<\/span> <span class=\"mi\">20<\/span>,\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">4<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">red<\/span>,\r\n  <span class=\"nf\">vector<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span>,<span class=\"mi\">0<\/span>,0<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"mi\">0<\/span>, <span class=\"mi\">0<\/span>, 3<span class=\"p\">])<\/span>,\r\n  \r\n  <span class=\"cm\">\/* \u624b\u524d\u306e\u78c1\u529b\u7dda *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">forest_green<\/span>,   \r\n  <span class=\"nf\">B_linesm<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">B_linesm<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.5<\/span><span class=\"p\">)<\/span>,\r\n\r\n  <span class=\"cm\">\/* \u78c1\u5834\u30d9\u30af\u30c8\u30eb *\/<\/span>\r\n  <span class=\"nv\">head_length<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.2<\/span>,\r\n  <span class=\"nv\">head_angle<\/span>  <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>, \r\n  <span class=\"nf\">vecs1<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">vecs1<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.5<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">vecs2<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">vecs2<\/span><span class=\"p\">(<\/span><span class=\"mf\">2.5<\/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-3977\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxvec-fig08d.svg\" alt=\"\" width=\"600\" height=\"500\" \/><\/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=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\n<span class=\"nf\">system<\/span><span class=\"p\">(<\/span><span class=\"s\">\"cp ~\/.maxplot.svg .\/maxvec-fig08d.svg\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u300cgnuplot \u3067\u5ea7\u6a19\u3092\u30d5\u30a1\u30a4\u30eb\u304b\u3089\u8aad\u307f\u8fbc\u3093\u3067\u96fb\u6c17\u529b\u7dda\u30fb\u78c1\u529b\u7dda\u3092\u63cf\u304f\u300d\u306e Maxima \u7248\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/3971\/\">\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":[14,19],"tags":[],"class_list":["post-3971","post","type-post","status-publish","format-standard","hentry","category-maxima","category-19","nodate","item-wrap"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u300cgnuplot \u3067\u5ea7\u6a19\u3092\u30d5\u30a1\u30a4\u30eb\u304b\u3089\u8aad\u307f\u8fbc\u3093\u3067\u96fb\u6c17\u529b\u7dda\u30fb\u78c1\u529b\u7dda\u3092\u63cf\u304f\u300d\u306e Maxima \u7248\u3002 \u70b9\u96fb\u8377\u306b\u3088\u308b\u96fb\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"kasai\"\/>\n\t<link rel=\"canonical\" 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