{"id":5972,"date":"2023-03-30T11:22:32","date_gmt":"2023-03-30T02:22:32","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=5972"},"modified":"2023-03-30T11:22:33","modified_gmt":"2023-03-30T02:22:33","slug":"maxima-%e3%81%a7%e9%9b%bb%e5%a0%b4%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e6%96%b9%e5%90%91%e5%a0%b4%e3%82%92%e6%8f%8f%e3%81%8f","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5972\/","title":{"rendered":"Maxima \u3067\u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u65b9\u5411\u5834\u3092\u63cf\u304f"},"content":{"rendered":"<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6b63\u8ca0\u306e\u70b9\u96fb\u8377\u304c\u3064\u304f\u308b\u96fb\u5834\u306e\u5411\u304d\u3092\u8868\u3059\u65b9\u5411\u5834\u3092 Maxima \u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u306e\u629c\u7c8b\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/3934\/\">Maxima \u3067\u30d9\u30af\u30c8\u30eb\u5834\uff08\u96fb\u5834\u30fb\u78c1\u5834\uff09\u3092\u63cf\u304f<\/a><\/li>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/4318\/\">Maxima \u3066\u3099 drawdf() \u3092\u4f7f\u3063\u30662\u6b21\u5143\u30d8\u3099\u30af\u30c8\u30eb\u65b9\u5411\u5834\u3092\u63cf\u304f<\/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\u8ca0\u306e\u70b9\u96fb\u8377\u304c\u3064\u304f\u308b\u96fb\u5834\">\u6b63\u8ca0\u306e\u70b9\u96fb\u8377\u304c\u3064\u304f\u308b\u96fb\u5834<\/h3>\n<p>$\\boldsymbol{r}_1$ \u306b\u3042\u308b\u6b63\u96fb\u8377 $q\\ (&gt;0)$ \u3068\uff0c$\\boldsymbol{r}_2$ \u306b\u3042\u308b\u8ca0\u96fb\u8377 $-q$ \u304c\u3064\u304f\u308b\u96fb\u5834\u30d9\u30af\u30c8\u30eb $\\boldsymbol{E}$ \u306f<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\boldsymbol{E}<br \/>\n&amp;=&amp; \\frac{q}{4\\pi \\varepsilon_0} \\frac{\\boldsymbol{r} &#8211; \\boldsymbol{r}_1}{|\\boldsymbol{r} &#8211; \\boldsymbol{r}_1|^3}<br \/>\n&#8211; \\frac{q}{4\\pi \\varepsilon_0} \\frac{\\boldsymbol{r} &#8211; \\boldsymbol{r}_2}{|\\boldsymbol{r} &#8211; \\boldsymbol{r}_2|^3}<br \/>\n\\end{eqnarray}<\/p>\n<p>$z=0$ \u306e $xy$ \u5e73\u9762\u30672\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u5834\u3092\u63cf\u304f\u3002\u9069\u5b9c\u7121\u6b21\u5143\u5316\u3092\u884c\u3044\uff0c<br \/>\n$\\displaystyle \\frac{q}{4\\pi \\varepsilon_0}\\rightarrow 1$ \u3068\u3059\u308b\u3002\u307e\u305f\uff0c<\/p>\n<p>$$\\boldsymbol{r} = (x, y, 0), \\quad \\boldsymbol{r}_1 = (0, 1, 0),<br \/>\n\\quad \\boldsymbol{r}_2 = (0, -1, 0)$$<\/p>\n<p>\u3068\u3059\u308b\u3068\uff0c<\/p>\n<p>$$E_x = \\frac{x}{\\left(x^2 + (y-1)^2\\right)^{3\/2}}-\\frac{x}{\\left(x^2 + (y+1)^2\\right)^{3\/2}}$$$$E_y = \\frac{y-1}{\\left(x^2 + (y-1)^2\\right)^{3\/2}}-<br \/>\n\\frac{y+1}{\\left(x^2 + (y+1)^2\\right)^{3\/2}}$$<\/p>\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=\"$\\boldsymbol{E}$-\u306e\u5411\u304d\u3092\u8868\u3059\u65b9\u5411\u5834\uff08\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u5834\uff09\">$\\boldsymbol{E}$ \u306e\u5411\u304d\u3092\u8868\u3059\u65b9\u5411\u5834\uff08\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u5834\uff09<\/h3>\n<p>\u4e00\u822c\u306b\u30d9\u30af\u30c8\u30eb\u306f\u5927\u304d\u3055\u3068\u5411\u304d\u3092\u8868\u3059\u3002\u96fb\u5834 $\\boldsymbol{E}$ \u306e\u5927\u304d\u3055\u306f\u96fb\u8377\u304b\u3089\u306e\u8ddd\u96e2\u306e2\u4e57\u306b\u53cd\u6bd4\u4f8b\u3059\u308b\u306e\u3067\uff0c]\u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u304c\u5927\u304d\u304f\u5909\u5316\u3059\u308b\u3002\u898b\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u306b\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b $\\boldsymbol{E}$ \u306e\u5411\u304d\u3092\u8868\u3059\u65b9\u5411\u5834\uff0c\u3059\u306a\u308f\u3061\u5927\u304d\u3055\u304c $1$ \u306e\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u5834\u3092\u5b9a\u7fa9\u3057\u3066\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u306e\u307f\u3092\u6b63\u3057\u304f\u63cf\u753b\u3059\u308b\u3002<\/p>\n<p>$$\\hat{\\boldsymbol{E}} \\equiv \\frac{\\boldsymbol{E}}{\\sqrt{\\boldsymbol{E}\\cdot\\boldsymbol{E}}}$$$$\\hat{E}_x = \\frac{E_x}{\\sqrt{E_x^2 + E_y^2}}$$$$\\hat{E}_y = \\frac{E_y}{\\sqrt{E_x^2 + E_y^2}}$$<\/p>\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=\"draw2d()-\u3067\u96fb\u5834\u306e\u65b9\u5411\u5834\u3092\u63cf\u304f\"><code>draw2d()<\/code> \u3067\u96fb\u5834\u306e\u65b9\u5411\u5834\u3092\u63cf\u304f<\/h3>\n<h4 id=\"\u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba\u7b49\u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u8a2d\u5b9a\">\u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba\u7b49\u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u8a2d\u5b9a<\/h4>\n<p><code>draw2d()<\/code> \u3067\u305d\u306e\u90fd\u5ea6\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u308b\u304c\uff0c<code>set_draw_defaults()<\/code> \u3067 <code>draw2d()<\/code> \u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u8a2d\u5b9a\u304c\u3067\u304d\u308b\u3002\u305f\u3060\u3057\uff0c\u3053\u306e <code>set_draw_defaults()<\/code> \u304c\u3061\u3087\u3063\u3068\u66f2\u8005\u3067\uff0c\u4f8b\u3048\u8ffd\u52a0\u3067 <code>dimensions<\/code> \u3092\u8a2d\u5b9a\u3057\u305f\u304f\u3066\u3082\uff0c\u8ffd\u52a0\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3060\u3051\u3067\u306a\u304f\uff0c\u305d\u306e\u6642\u70b9\u3067\u8a2d\u5b9a\u3055\u308c\u3066\u3044\u308b\u9805\u76ee\u3092\u5168\u3066\u5217\u6319\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u305d\u306e\u5272\u306b\u306f\uff0c\u73fe\u5728\u306e <code>draw<\/code> \u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u8a2d\u5b9a\u304c\u3069\u3046\u306a\u3063\u3066\u3044\u308b\u304b\u3092\u77e5\u308b\u95a2\u6570\u306f\u306a\u3044\u3002\u5f15\u6570\u306a\u3057\u3067 <code>set_draw_defaults();<\/code> \u3092\u5b9f\u884c\u3059\u308b\u3068\uff0c\u5168\u3066\u306e\u8a2d\u5b9a\u4e8b\u9805\u304c\u524a\u9664\u3055\u308c\u3066\u3057\u307e\u3046\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">set_draw_defaults<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f\u30a4\u30f3\u30e9\u30a4\u30f3 SVG \u8868\u793a *\/<\/span>\r\n  <span class=\"nv\">file_name<\/span><span class=\"o\">=<\/span><span class=\"s\">\"~\/.maxplot\"<\/span>, <span class=\"nv\">terminal<\/span><span class=\"o\">='<\/span><span class=\"nv\">svg<\/span>,\r\n  <span class=\"cm\">\/* \u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba *\/<\/span>\r\n  <span class=\"nv\">dimensions<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">640<\/span>,640<span class=\"p\">]<\/span>,\r\n  <span class=\"cm\">\/* \u30d5\u30a9\u30f3\u30c8\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">font<\/span><span class=\"o\">=<\/span><span class=\"s\">\"Noto Sans CJK JP\"<\/span>, <span class=\"nv\">font_size<\/span><span class=\"o\">=<\/span><span class=\"mi\">16<\/span>,\r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u77e2\u5370\u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u8a2d\u5b9a *\/<\/span>\r\n  <span class=\"nv\">head_length<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.1<\/span>, <span class=\"nv\">head_angle<\/span><span class=\"o\">=<\/span><span class=\"mi\">20<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u5b9a\u7fa9\">\u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u5b9a\u7fa9<\/h4>\n<p>\u96fb\u5834\u30d9\u30af\u30c8\u30eb\u3092 <code>x, y<\/code> \u306e2\u5909\u6570\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u96fb\u5834 E *\/<\/span>\r\n<span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">x<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span>3$\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=\"nf\">sqrt<\/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><span class=\"o\">**<\/span>3$\r\n\r\n<span class=\"cm\">\/* \u6b63\u96fb\u8377\u3068\u8ca0\u96fb\u8377\u304c\u3064\u304f\u308b\u96fb\u5834 *\/<\/span>\r\n<span class=\"nf\">E2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"nf\">Ex<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nf\">E2y<\/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=\"o\">-<\/span><span class=\"mi\">1<\/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=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u96fb\u5834\u306e\u5927\u304d\u3055 *\/<\/span>\r\n<span class=\"nf\">E<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"nf\">E2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nf\">E2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u898f\u683c\u5316\u3055\u308c\u305f\u96fb\u5834 hat E *\/<\/span>\r\n<span class=\"nf\">hE2x<\/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\">scaling<\/span> <span class=\"o\">*<\/span> <span class=\"nf\">E2x<\/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>$\r\n<span class=\"nf\">hE2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">scaling<\/span> <span class=\"o\">*<\/span> <span class=\"nf\">E2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"nf\">E<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>$\r\n<\/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=\"\u30d9\u30af\u30c8\u30eb\u5834\u3092\u63cf\u304f\">\u30d9\u30af\u30c8\u30eb\u5834\u3092\u63cf\u304f<\/h4>\n<p>Maxima \u306e <code>draw2d()<\/code> \u3067\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f\u57fa\u672c\u306f <a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/3934\/\">\u3053\u3053<\/a> \u3092\u53c2\u7167\u3002<\/p>\n<p>\u70b9\u96fb\u8377\u304c $y$ \u8ef8\u4e0a\u306b\u3042\u308b\u306e\u3067\uff0c\u30ea\u30b9\u30c8\u3092\u4f5c\u6210\u3059\u308b\u969b\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u304c $y$ \u8ef8\u306b\u6765\u306a\u3044\u3088\u3046\u306b\u3057\u3066\u304a\u304f\u3002\uff08\u70b9\u96fb\u8377\u4e0a\u3067\u306f\u96fb\u5834\u306e\u5206\u6bcd\u304c\u30bc\u30ed\u306b\u306a\u3063\u3066\u3057\u307e\u3046\u304b\u3089\u3002\uff09<br \/>\n\u4ee5\u4e0b\u306e\u4f8b\u3067\u306f\uff0c<code>coordxy<\/code> \u306e $x$ \u5ea7\u6a19\u306f<\/p>\n<p>$$-5.5, -4.5, \\cdots, -0.5, 0.5, \\cdots, 5.5$$<\/p>\n<p>\u3068\u306a\u308a\uff0c$y$ \u8ef8\u4e0a ($x = 0$) \u306b\u59cb\u70b9\u304c\u3053\u306a\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u6210 *\/<\/span>\r\n<span class=\"nv\">coordxy<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">()<\/span>$\r\n<span class=\"k\">for<\/span> <span class=\"nv\">i<\/span><span class=\"o\">:<\/span> <span class=\"mi\">0<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">11<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"k\">for<\/span> <span class=\"nv\">j<\/span><span class=\"o\">:<\/span> <span class=\"mi\">0<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">11<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"nv\">coordxy<\/span><span class=\"o\">:<\/span> <span class=\"nf\">append<\/span><span class=\"p\">(<\/span><span class=\"nv\">coordxy<\/span>, <span class=\"p\">[[<\/span><span class=\"o\">-<\/span>5<span class=\"o\">.<\/span>5<span class=\"o\">+<\/span><span class=\"nv\">i<\/span>, <span class=\"o\">-<\/span>5<span class=\"o\">.<\/span>5<span class=\"o\">+<\/span><span class=\"nv\">j<\/span><span class=\"p\">]])<\/span>\r\n  <span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\r\n\r\n<span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306f vector([\u59cb\u70b9\u306ex, \u59cb\u70b9\u306ey], [x\u6210\u5206, y\u6210\u5206]) *\/<\/span>\r\n<span class=\"nf\">vechE<\/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=\"p\">[<\/span><span class=\"nf\">hE2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">hE2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)])<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u8abf\u6574\u7528 *\/<\/span>\r\n<span class=\"nv\">scaling<\/span><span class=\"o\">:<\/span> 0<span class=\"o\">.<\/span>5$\r\n\r\n<span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">6.5<\/span>, 6<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\">6.5<\/span>, 6<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">grid<\/span><span class=\"o\">=<\/span><span class=\"no\">true<\/span>,\r\n\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, \r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e\u8868\u793a *\/<\/span>\r\n  <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=\"nv\">coordxy<\/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-5994\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mvecfig01a.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u70b9\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u30e9\u30d9\u30eb\">\u70b9\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u30e9\u30d9\u30eb<\/h4>\n<p>\u6b63\u96fb\u8377\uff0c\u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u30e9\u30d9\u30eb\u3092\u3064\u3051\u3066\u307f\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">6.5<\/span>, 6<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\">6.5<\/span>, 6<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">grid<\/span><span class=\"o\">=<\/span><span class=\"no\">true<\/span>,\r\n\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, \r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e\u8868\u793a *\/<\/span>\r\n  <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=\"nv\">coordxy<\/span><span class=\"p\">)<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u6b63\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u9752\u4e38\u3068 + *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\uff0b\"<\/span>, <span class=\"mi\">0<\/span>, 1<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u8d64\u4e38\u3068 - *\/<\/span>\r\n  <span class=\"cm\">\/* \u4e00\u65e6\u767d\u304f\u5857\u308a\u3064\u3076\u3059*\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">7<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"cm\">\/* \u3042\u3089\u305f\u3081\u3066\u8d64\u4e38\u3092\u63cf\u304f *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">red<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\u30fc\"<\/span>, <span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">])<\/span>\r\n\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-5995\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mvecfig02a.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u4e00\u5fdc\u306e\u5b8c\u6210\u4f5c\">\u4e00\u5fdc\u306e\u5b8c\u6210\u4f5c<\/h4>\n<p>Maxima \u3067\u306f\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u306b\u5fdc\u3058\u3066\u8272\u3092 <code>palette<\/code> \u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3088\u3046\u306a\u306e\u3067\uff0c\u3053\u308c\u3067\u4e00\u5fdc\u306e\u5b8c\u6210\u4f5c\u3002\u30b5\u30f3\u30d7\u30eb\u6570\u3092\u5897\u3084\u3057\uff0c\u5c11\u3057\u77ed\u3081\u306e\u30d9\u30af\u30c8\u30eb\u3092\u305f\u304f\u3055\u3093\u63cf\u3044\u3066\u307f\u305f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u6210 *\/<\/span>\r\n<span class=\"cm\">\/* -5 &lt;= x &lt;= 5, -5 &lt;= y &lt;= 5 \u3067 0.5 \u523b\u307f\u306e\u683c\u5b50\u70b9\u3092\u59cb\u70b9\u306b *\/<\/span>\r\n<span class=\"nv\">coordxy<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">()<\/span>$\r\n<span class=\"k\">for<\/span> <span class=\"nv\">i<\/span><span class=\"o\">:<\/span> <span class=\"mi\">0<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">21<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"k\">for<\/span> <span class=\"nv\">j<\/span><span class=\"o\">:<\/span> <span class=\"mi\">0<\/span> <span class=\"k\">thru<\/span> <span class=\"mi\">21<\/span> <span class=\"k\">do<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"nv\">coordxy<\/span><span class=\"o\">:<\/span> <span class=\"nf\">append<\/span><span class=\"p\">(<\/span><span class=\"nv\">coordxy<\/span>, <span class=\"p\">[[<\/span><span class=\"o\">-<\/span>5<span class=\"o\">.<\/span>25<span class=\"o\">+<\/span><span class=\"nv\">i<\/span><span class=\"o\">\/<\/span><span class=\"mi\">2<\/span>, <span class=\"o\">-<\/span>5<span class=\"o\">.<\/span>25<span class=\"o\">+<\/span><span class=\"nv\">j<\/span><span class=\"o\">\/<\/span>2<span class=\"p\">]])<\/span>\r\n  <span class=\"p\">)<\/span>\r\n<span class=\"p\">)<\/span>$\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\">vechE<\/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=\"p\">[<\/span><span class=\"nf\">hE2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">hE2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)])<\/span>$\r\n\r\n<span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u8abf\u6574\u7528 *\/<\/span>\r\n<span class=\"nv\">scaling<\/span><span class=\"o\">:<\/span> 0<span class=\"o\">.<\/span>3$\r\n\r\n<span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">6<\/span>, 6<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">6<\/span>, 6<span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* \u76ee\u76db\u3068\u5916\u67a0\u306e\u975e\u8868\u793a *\/<\/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\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"unset border;\"<\/span>,\r\n\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">4<\/span>, \r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e\u8868\u793a *\/<\/span>\r\n  <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=\"nv\">coordxy<\/span><span class=\"p\">)<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u6b63\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u9752\u4e38\u3068 + *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\uff0b\"<\/span>, <span class=\"mi\">0<\/span>, 1<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u9752\u4e38\u3068 - *\/<\/span>\r\n  <span class=\"cm\">\/* \u4e00\u65e6\u767d\u304f\u5857\u308a\u3064\u3076\u3059*\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">7<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"cm\">\/* \u3042\u3089\u305f\u3081\u3066\u8d64\u3044\u8f2a\u3092\u63cf\u304f *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">red<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\u30fc\"<\/span>, <span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">])<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-5996\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mvecfig04a.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"drawdf()-\u3067\u96fb\u5834\u306e\u65b9\u5411\u5834\u3092\u63cf\u304f\"><code>drawdf()<\/code> \u3067\u96fb\u5834\u306e\u65b9\u5411\u5834\u3092\u63cf\u304f<\/h3>\n<p>2\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306e\u65b9\u5411\u5834\uff08\u5927\u304d\u3055\u304c\u4e00\u5b9a\u3067\u5411\u304d\u3060\u3051\u3092\u8868\u3059\u30d9\u30af\u30c8\u30eb\u5834\uff09\u306b\u9650\u308c\u3070\uff0c<code>drawdf<\/code> \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3063\u3066\u3082\u3063\u3068\u7c21\u5358\u306b\u63cf\u3051\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u6700\u521d\u306b1\u56de\u3060\u3051\u30ed\u30fc\u30c9\u3059\u308b *\/<\/span>\r\n<span class=\"nf\">load<\/span><span class=\"p\">(<\/span><span class=\"nv\">drawdf<\/span><span class=\"p\">)<\/span>$\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[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u96fb\u5834 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=\"nf\">sqrt<\/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><span class=\"o\">**<\/span>3$\r\n<span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">y<\/span><span class=\"o\">\/<\/span><span class=\"nf\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span>3$\r\n\r\n<span class=\"cm\">\/* \u6b63\u96fb\u8377\u3068\u8ca0\u96fb\u8377\u304c\u3064\u304f\u308b\u96fb\u5834 *\/<\/span>\r\n<span class=\"nf\">E2x<\/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=\"o\">-<\/span><span class=\"mi\">1<\/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=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nf\">E2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"nf\">Ey<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>$\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=\"\u65b9\u5411\u5834\u3092\u63cf\u304f\">\u65b9\u5411\u5834\u3092\u63cf\u304f<\/h4>\n<p><code>drawdf()<\/code> \u306f\u30d9\u30af\u30c8\u30eb\u5834\u306e $x$ \u6210\u5206\uff0c$y$ \u6210\u5206\u3068\u8868\u793a\u7bc4\u56f2\u3092\u6307\u5b9a\u3059\u308b\u3060\u3051\u3067\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u3092\u81ea\u52d5\u7684\u306b\u8abf\u7bc0\u3057\u3066\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">drawdf<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e x \u6210\u5206, y \u6210\u5206 *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nf\">E2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">E2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)]<\/span>, \r\n  <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<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-5997\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mvecfig05a.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u30b0\u30ea\u30c3\u30c9\u7b49\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u8a2d\u5b9a\">\u30b0\u30ea\u30c3\u30c9\u7b49\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u8a2d\u5b9a<\/h4>\n<p><code>field_grid<\/code> \u3092\u6307\u5b9a\u3057\u3066\uff0c<code>grid = true<\/code> \u3067\u307f\u308b\u3068\uff0c<code>drawdf()<\/code> \u306f\u30b0\u30ea\u30c3\u30c9\u7dda\u3067\u56f2\u307e\u308c\u305f\u9818\u57df\u306e\u4e2d\u306b\u81ea\u52d5\u7684\u306b\u9577\u3055\u3092\u8abf\u7bc0\u3057\u3066\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u3044\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n<p>\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u5834\u306e\u8272\u306f <code>field_color<\/code> \u3067\u6307\u5b9a\u3059\u308b\u304c\uff0c\u592a\u3055\u306b\u3064\u3044\u3066\u306f\u8a2d\u5b9a\u65b9\u6cd5\u304c\u898b\u5f53\u305f\u3089\u306a\u3044\u3002<br \/>\n\uff08<code>line_width<\/code> \u306f\u52b9\u304b\u306a\u3044\u3002\uff09<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[10]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">drawdf<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nf\">E2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">E2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)]<\/span>, <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e x \u6210\u5206, y \u6210\u5206 *\/<\/span> \r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span> \r\n  <span class=\"cm\">\/* \u30b0\u30ea\u30c3\u30c9\u306e\u884c\u3068\u5217\u306e\u6570 *\/<\/span>\r\n  <span class=\"nv\">field_grid<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">10<\/span>, 10<span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* \u76ee\u76db\u306e\u8a2d\u5b9a\u3068\u30b0\u30ea\u30c3\u30c9\u306e\u8868\u793a *\/<\/span>\r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">grid<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, \r\n  <span class=\"cm\">\/* \u30d9\u30af\u30c8\u30eb\u5834\u306e\u8272 *\/<\/span>\r\n  <span class=\"nv\">field_color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"blue\"<\/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-5998\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mvecfig06a.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u70b9\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u30e9\u30d9\u30eb\">\u70b9\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u30e9\u30d9\u30eb<\/h4>\n<p>\u6b63\u96fb\u8377\uff0c\u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u30e9\u30d9\u30eb\u3092\u3064\u3051\u3066\u307f\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">drawdf<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nf\">E2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">E2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)]<\/span>, \r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">field_grid<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">10<\/span>, 10<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">grid<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, \r\n  <span class=\"nv\">field_color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"blue\"<\/span>, \r\n\r\n  <span class=\"cm\">\/* \u6b63\u96fb\u8377\u306e\u4f4d\u7f6e\u3092\u4e00\u65e6\u767d\u304f\u5857\u308a\u3064\u3076\u3057... *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">7<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]])<\/span>,\r\n  <span class=\"cm\">\/* \u3042\u3089\u305f\u3081\u3066\u9752\u4e38\u3092\u63cf\u304f *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\uff0b\"<\/span>, <span class=\"mi\">0<\/span>, 1<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e\u3092\u4e00\u65e6\u767d\u304f\u5857\u308a\u3064\u3076\u3057... *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">7<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"cm\">\/* \u3042\u3089\u305f\u3081\u3066\u8d64\u5186\u3092\u63cf\u304f *\/<\/span>\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">red<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\u30fc\"<\/span>, <span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<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-5999\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mvecfig07a.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"field_degree-\u30aa\u30d7\u30b7\u30e7\u30f3\"><code>field_degree<\/code> \u30aa\u30d7\u30b7\u30e7\u30f3<\/h4>\n<p><code>field_degree='solns<\/code> \u3068\u8a2d\u5b9a\u3059\u308b\u3068\uff0c\uff08\u3057\u3070\u3089\u304f\u8a08\u7b97\u3057\u305f\u3042\u3068\u306b\uff09\u65b9\u5411\u5834\u304c 4 \u6b21\u306e Runge Kutta \u3067\u8a08\u7b97\u3055\u308c\u305f\u5c0f\u3055\u306a\u89e3\u66f2\u7dda\u3067\u793a\u3055\u308c\u308b\u306e\u304c\u304a\u3082\u3057\u308d\u3044\u3002\uff08\u5f18\u5927 JupyterHub \u3067\u306f\u5ef6\u3005\u3068\u30b9\u30af\u30ed\u30fc\u30eb\u3057\u3066\u306f\u3058\u3081\u3066\u30b0\u30e9\u30d5\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3002\uff09\u96fb\u5834\u306e\u5834\u5408\u306f\uff0c\u30b0\u30ea\u30c3\u30c9\u5185\u306e\u96fb\u6c17\u529b\u7dda\u306e\u4e00\u90e8\u304c\u8868\u793a\u3055\u308c\u308b\u3002\u77e2\u5370\u306e\u982d\u304c\u5186\u306b\u306a\u308b\u306e\u3082\u3054\u611b\u5b0c\u3002\uff08\u5909\u66f4\u3059\u308b\u65b9\u6cd5\u304c\u898b\u5f53\u305f\u3089\u306a\u3044\u3002\uff09<\/p>\n<p><code>field_degree=2<\/code> \u306e\u5834\u5408\u306f2\u6b21\u30b9\u30d7\u30e9\u30a4\u30f3\u3067\u793a\u3059\uff08\u306e\u3067\uff0c\u5fc5\u305a\u3057\u3082\u6b63\u78ba\u306a\u529b\u7dda\u306b\u306a\u3063\u3066\u3044\u308b\u3068\u306f\u9650\u3089\u306a\u3044\uff09\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[12]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">drawdf<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nf\">E2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">E2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)]<\/span>, \r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">field_grid<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">10<\/span>, 10<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">ytics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"nv\">grid<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, \r\n  <span class=\"nv\">field_color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"blue\"<\/span>, \r\n\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">7<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\uff0b\"<\/span>, <span class=\"mi\">0<\/span>, 1<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">7<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">red<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\u30fc\"<\/span>, <span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">])<\/span>,\r\n  \r\n  <span class=\"nv\">field_degree<\/span> <span class=\"o\">=<\/span> <span class=\"o\">'<\/span><span class=\"nv\">solns<\/span> <span class=\"cm\">\/* 1, 2, or 'solns *\/<\/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-6000\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mvecfig08a.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u4e00\u5fdc\u306e\u5b8c\u6210\u4f5c\">\u4e00\u5fdc\u306e\u5b8c\u6210\u4f5c<\/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[14]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">drawdf<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nf\">E2x<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">E2y<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">)]<\/span>, \r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">5.5<\/span>, 5<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">5.5<\/span>, 5<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">field_grid<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">22<\/span>, 22<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\">user_preamble<\/span><span class=\"o\">=<\/span><span class=\"s\">\"unset border;\"<\/span>, \r\n  <span class=\"nv\">field_color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"blue\"<\/span>, \r\n\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">7<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">blue<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, 1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\uff0b\"<\/span>, <span class=\"mi\">0<\/span>, 1<span class=\"p\">])<\/span>, \r\n  \r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">white<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">7<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">red<\/span>, <span class=\"nv\">point_type<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>, <span class=\"nv\">point_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>,   \r\n  <span class=\"nf\">points<\/span><span class=\"p\">([[<\/span><span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">]])<\/span>,\r\n  <span class=\"nf\">label<\/span><span class=\"p\">([<\/span><span class=\"s\">\"\u30fc\"<\/span>, <span class=\"mi\">0<\/span>, <span class=\"o\">-<\/span>1<span class=\"p\">])<\/span>,\r\n  \r\n  <span class=\"nv\">field_degree<\/span> <span class=\"o\">=<\/span> <span class=\"o\">'<\/span><span class=\"nv\">solns<\/span> <span class=\"cm\">\/* 1, 2, or 'solns *\/<\/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-6001\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/mvecfig09a.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u6b63\u8ca0\u306e\u70b9\u96fb\u8377\u304c\u3064\u304f\u308b\u96fb\u5834\u306e\u5411\u304d\u3092\u8868\u3059\u65b9\u5411\u5834\u3092 Maxima \u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u306e\u629c\u7c8b\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5972\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>Maxima \u3067\u30d9\u30af\u30c8\u30eb\u5834\uff08\u96fb\u5834\u30fb\u78c1\u5834\uff09\u3092\u63cf\u304f<\/li>\n<li>Maxima \u3066\u3099 drawdf() \u3092\u4f7f\u3063\u30662\u6b21\u5143\u30d8\u3099\u30af\u30c8\u30eb\u65b9\u5411\u5834\u3092\u63cf\u304f<\/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":[14,19],"tags":[],"class_list":["post-5972","post","type-post","status-publish","format-standard","hentry","category-maxima","category-19","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5972","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=5972"}],"version-history":[{"count":4,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5972\/revisions"}],"predecessor-version":[{"id":6002,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5972\/revisions\/6002"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=5972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=5972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=5972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}