{"id":6861,"date":"2023-10-23T11:52:25","date_gmt":"2023-10-23T02:52:25","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=6861"},"modified":"2024-12-03T14:59:16","modified_gmt":"2024-12-03T05:59:16","slug":"matplotlib-%e3%81%a7%e4%bd%9c%e6%88%90%e3%81%97%e3%81%9f%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e3%82%a2%e3%83%8b%e3%83%a1%e3%83%bc%e3%82%b7%e3%83%a7%e3%83%b3%e3%81%ab%ef%bc%9aplt-%e7%b7%a8","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/python-%e3%81%a7%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/matplotlib-%e3%81%a7%e4%bd%9c%e6%88%90%e3%81%97%e3%81%9f%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e3%82%a2%e3%83%8b%e3%83%a1%e3%83%bc%e3%82%b7%e3%83%a7%e3%83%b3%e3%81%ab%ef%bc%9aplt-%e7%b7%a8\/","title":{"rendered":"Matplotlib \u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306b\uff1aplt \u7de8"},"content":{"rendered":"<p>\u300c<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/python-%e3%81%a7%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/matplotlib-%e3%81%a7%e3%82%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90\/\">Matplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aplt \u7de8<\/a>\u300d\u3067\u89e3\u8aac\u3057\u305f\u65b9\u6cd5\u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\uff0c<code><span class=\"nn\">matplotlib.animation<\/span>.FuncAnimation()<\/code> \u3067\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3059\u308b\u3002<!--more--><\/p>\n<p><span style=\"font-family: helvetica, arial, sans-serif;\"><strong>\u88dc\u8db3<\/strong><\/span>\uff1a\u6388\u696d\u3067\u3084\u3063\u3066\u307f\u3066\u6c17\u3065\u3044\u305f\u306e\u3067\u3059\u304c\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3057\u3066\u4f5c\u6210\u3057\u305f mp4 \u30d5\u30a1\u30a4\u30eb\u306f\uff0cWindows \u306e Edge \u3067\u306f\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3088\u3046\u3067\u3059\u3002\u540c\u3058 Windows \u3067\u3082 Firefox \u306a\u3089\u898b\u308c\u307e\u3059\u3057\uff0cMac \u306e Edge \u3067\u3082\u5927\u4e08\u592b\u3067\u3059\u3002\uff08Mac \u306e Firefox \u3067\u6e96\u5099\u3057\u3066\u3044\u308b\u306e\u3067\uff0c\u6c17\u3065\u304b\u306a\u304b\u3063\u305f\u3002\uff09\u306a\u306e\u3067\uff0cWindows \u3067\u4ee5\u4e0b\u306e\u5b9f\u7fd2\u3092\u3059\u308b\u5834\u5408\u306f\uff0c\u4e92\u63db\u6027\u7dad\u6301\u306e\u305f\u3081\uff0c<\/p>\n<pre>ani.save(\"anim01.mp4\")<\/pre>\n<p>\u3067\u306f\u306a\u304f\uff0c<\/p>\n<pre>ani.save(\"anim01.gif\")<\/pre>\n<p>\u306a\u3069\u3068\u3057\u3066\u4fdd\u5b58\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3060\u308d\u3046\u3002\u4ee5\u4e0b\u3092\u53c2\u7167\uff1a<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/6970\/\">Matplotlib \u3067\u4f5c\u6210\u3057\u305f mp4 \u30d5\u30a1\u30a4\u30eb\u306f Windows \u306e Edge \u3067\u306f\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044<\/a><\/li>\n<\/ul>\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=\"\u30e9\u30a4\u30d6\u30e9\u30ea\u306e-import\">\u30e9\u30a4\u30d6\u30e9\u30ea\u306e import<\/h3>\n<p>\u5fc5\u8981\u306a\u30e9\u30a4\u30d6\u30e9\u30ea\u3092 import \u3057\u307e\u3059\u3002Matplotlib \u306e <code>FuncAnimation()<\/code> \u3092\u4f7f\u3063\u3066\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u3092\u4f5c\u6210\u3057\u3066\u307f\u307e\u3059\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-ipython3\">\n<pre><span class=\"kn\">import<\/span> <span class=\"nn\">numpy<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">np<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.pyplot<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">plt<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">matplotlib.animation<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">FuncAnimation<\/span>\r\n<span class=\"c1\"># \u4ee5\u4e0b\u306f\u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a\u3055\u305b\u308b\u8a2d\u5b9a<\/span>\r\n<span class=\"o\">%<\/span><span class=\"k\">config<\/span> InlineBackend.figure_formats = ['svg']\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba\u3002\u304a\u597d\u307f\u3067\u3002<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s2\">\"figure.figsize\"<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/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=\"Matplotlib-\u3067\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u304a\u3055\u3089\u3044\">Matplotlib \u3067\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u304a\u3055\u3089\u3044<\/h3>\n<p>\u300c<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/python-%e3%81%a7%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/matplotlib-%e3%81%a7%e3%82%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90\/\">Matplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210<\/a>\u300d\u3092\u53c2\u7167\u3002<\/p>\n<p>\u57fa\u672c\u5f62\uff1a<\/p>\n<div class=\"highlight\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x0<\/span><span class=\"p\">,<\/span> <span class=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"o\">...<\/span><span class=\"p\">,<\/span> <span class=\"n\">xn<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y0<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">,<\/span> <span class=\"o\">...<\/span><span class=\"p\">,<\/span> <span class=\"n\">yn<\/span><span class=\"p\">]);<\/span>\r\n<\/pre>\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=\"\u7b49\u9593\u9694\u306e\u6570\u5024\u914d\u5217\u306e\u4f5c\u6210\">\u7b49\u9593\u9694\u306e\u6570\u5024\u914d\u5217\u306e\u4f5c\u6210<\/h4>\n<p>\u5ea7\u6a19\u5024\u306e\u30ea\u30b9\u30c8\u3092 <code>[0, 0.2, 0.4, ...]<\/code> \u3068\u624b\u3067\u4e00\u3064\u4e00\u3064\u5165\u529b\u3059\u308b\u306e\u306f\u5927\u5909\u306a\u306e\u3067\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7b49\u9593\u9694\u306e\u6570\u5024\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u95a2\u6570\u3092\u4f7f\u3046\u3002<\/p>\n<h5 id=\"np.arange()-\u306f\u9593\u9694\u3092\u6307\u5b9a\"><code>np.arange()<\/code> \u306f\u9593\u9694\u3092\u6307\u5b9a<\/h5>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># 0\u4ee5\u4e0a1\u672a\u6e80\uff0c\u9593\u96940.2\u3054\u3068\u306e\u6570\u5024\u8981\u7d20\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>[0.  0.2 0.4 0.6 0.8]\r\n[0.   0.04 0.16 0.36 0.64]\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<h5 id=\"np.linspace()-\u306f\u8981\u7d20\u6570\u3092\u6307\u5b9a\"><code>np.linspace()<\/code> \u306f\u8981\u7d20\u6570\u3092\u6307\u5b9a<\/h5>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># 0\u304b\u30891\u307e\u3067\u30925\u7b49\u5206\u3057\uff0c\u7aef\u70b9\u3092\u542b\u3081\u30666\u500b\u306e\u6570\u5024\u8981\u7d20\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># NumPy \u306e\u95a2\u6570\u3092\u4f7f\u3046<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>[0.  0.2 0.4 0.6 0.8 1. ]\r\n[0.         0.19866933 0.38941834 0.56464247 0.71735609 0.84147098]\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=\"\u659c\u65b9\u6295\u5c04\u306e\u8ecc\u9053\u3092\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3059\u308b\">\u659c\u65b9\u6295\u5c04\u306e\u8ecc\u9053\u3092\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3059\u308b<\/h3>\n<h4 id=\"\u904b\u52d5\u65b9\u7a0b\u5f0f\">\u904b\u52d5\u65b9\u7a0b\u5f0f<\/h4>\n<p>\u6c34\u5e73\u65b9\u5411\u3092 $x$, \u925b\u76f4\u4e0a\u5411\u304d\u3092 $y$ \u3068\u3057\u3066\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\u91cd\u529b\u52a0\u901f\u5ea6\u306e\u5927\u304d\u3055\u3092 $g$ \u3068\u3057\u3066<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\frac{d^2 x}{dt^2} &amp;=&amp; 0 \\\\<br \/>\n\\frac{d^2 y}{dt^2} &amp;=&amp; -g<br \/>\n\\end{eqnarray}<\/p>\n<p>\u89e3\u306f<\/p>\n<p>\\begin{eqnarray}<br \/>\nx(t) &amp;=&amp; x_0 + v_{0x} t \\\\<br \/>\ny(t) &amp;=&amp; y_0 + v_{0y} t &#8211; \\frac{1}{2} g t^2<br \/>\n\\end{eqnarray}<\/p>\n<p>\u521d\u671f\u6761\u4ef6\u3092 $x_0 = 0, y_0 = 0, v_{0x} = v_0 \\cos\\theta, v_{0y} = v_0 \\sin\\theta$ \u3068\u3059\u308b\u3068<\/p>\n<p>\\begin{eqnarray}<br \/>\nx(t) &amp;=&amp; v_{0} \\cos\\theta \\cdot t \\\\<br \/>\ny(t) &amp;=&amp; v_{0} \\sin\\theta \\cdot t &#8211; \\frac{1}{2} g t^2<br \/>\n\\end{eqnarray}<\/p>\n<h4 id=\"\u7121\u6b21\u5143\u5316\">\u7121\u6b21\u5143\u5316<\/h4>\n<p>\u3053\u306e\u7cfb\u306b\u7279\u5fb4\u7684\u306a\u6642\u9593 $\\displaystyle \\tau \\equiv \\frac{v_0}{g}$ \u304a\u3088\u3073\u9577\u3055 $\\displaystyle \\ell \\equiv v_0 \\tau = \\frac{v_0^2}{g}$ \u3067\u89e3\u3092\u7121\u6b21\u5143\u5316\u3057\u3066\u304a\u304f\u3002<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\bar{t} &amp;\\equiv&amp; \\frac{t}{\\tau} \\\\<br \/>\n\\bar{x} &amp;\\equiv&amp; \\frac{x}{\\ell} = \\cos\\theta\\cdot \\bar{t} \\\\<br \/>\n\\bar{y}&amp;\\equiv&amp; \\frac{y}{\\ell} = \\sin\\theta\\cdot \\bar{t} &#8211; \\frac{1}{2} \\bar{t}^2 \\\\<br \/>\n\\bar{v}_x &amp;\\equiv&amp; \\frac{d\\bar{x}}{d\\bar{t}} = \\cos\\theta \\\\<br \/>\n\\bar{v}_y &amp;\\equiv&amp; \\frac{d\\bar{y}}{d\\bar{t}} = \\sin\\theta &#8211; \\bar{t}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u4ee5\u5f8c\u3057\u3070\u3089\u304f\u306f\uff0c\u7121\u6b21\u5143\u5316\u3055\u308c\u305f\u91cf\u3067\u3042\u308b\u3053\u3068\u3092\u5fd8\u308c\u306a\u3044\u3053\u3068\u306b\u3057\u3066\uff0c\u7c21\u5358\u306e\u305f\u3081\u306b $\\bar{\\ }$ \u3092\u7701\u7565\u3059\u308b\u3002<\/p>\n<p>\\begin{eqnarray}<br \/>\n{x} &amp;=&amp; \\cos\\theta\\cdot {t} \\tag{1}\\\\<br \/>\n{y} &amp;=&amp;\u00a0 \\sin\\theta\\cdot {t} &#8211; \\frac{1}{2} {t}^2 \\tag{2}\\\\<br \/>\n{v}_x &amp;=&amp; \\cos\\theta \\tag{3}\\\\<br \/>\n{v}_y &amp;=&amp; \\sin\\theta &#8211; {t}\u3000 \\tag{4}<br \/>\n\\end{eqnarray}<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># NumPy \u306e\u95a2\u6570\u3092\u4f7f\u3046\u3002<\/span>\r\n<span class=\"c1\"># xp, yp \u306e \"p\" \u306e\u610f\u5473\u306f\uff0cpoint \u3068\u304b projectile \u3068\u304b<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">theta<\/span><span class=\"p\">)<\/span> <span class=\"o\">*<\/span> <span class=\"n\">t<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">theta<\/span><span class=\"p\">)<\/span> <span class=\"o\">*<\/span> <span class=\"n\">t<\/span> <span class=\"o\">-<\/span> <span class=\"n\">t<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"o\">\/<\/span><span class=\"mi\">2<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">theta<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">vy<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">theta<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">theta<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">t<\/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=\"\u6ede\u7a7a\u6642\u9593\u3068\u5230\u9054\u8ddd\u96e2\">\u6ede\u7a7a\u6642\u9593\u3068\u5230\u9054\u8ddd\u96e2<\/h4>\n<p>$t = 0$ \u3067\u6295\u5c04\u3057\u3066\uff0c\u3075\u305f\u305f\u3073\u5730\u9762 $y = 0$ \u306b\u843d\u3061\u308b\u307e\u3067\u306e\u6ede\u7a7a\u6642\u9593 $T$ \u306f $(2)$ \u5f0f\u304b\u3089<\/p>\n<p>$$ 0 = \\sin\\theta \\cdot t &#8211; \\frac{1}{2} t^2 $$<\/p>\n<p>\u3088\u308a\uff0c<br \/>\n$$T = 2 \\sin \\theta $$<\/p>\n<p>\u3061\u306a\u307f\u306b\uff0c\u3053\u306e\u6642\u9593\u3067\u306e\u6c34\u5e73\u5230\u9054\u8ddd\u96e2 $L$ \u306f $(1)$ \u5f0f\u304b\u3089<\/p>\n<p>\\begin{eqnarray}<br \/>\nL &amp;=&amp; \\cos\\theta \\cdot T \\\\<br \/>\n&amp;=&amp; 2 \\sin\\theta \\cos\\theta = \\sin 2\\theta<br \/>\n\\end{eqnarray}<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">T<\/span><span class=\"p\">(<\/span><span class=\"n\">theta<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">theta<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">L<\/span><span class=\"p\">(<\/span><span class=\"n\">theta<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">theta<\/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=\"\u8ecc\u9053\u5168\u4f53\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\">\u8ecc\u9053\u5168\u4f53\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/h4>\n<p>$\\theta = 45^{\\circ}$ \u306e\u5834\u5408\u306b\uff0c\u307e\u305a\u306f\u8ecc\u9053\u5168\u4f53\u3092\u30b0\u30e9\u30d5\u306b\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># 45\u00b0\u3092\u30e9\u30b8\u30a2\u30f3\u306b\u306a\u304a\u3059\u3002<\/span>\r\n<span class=\"n\">th0<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">45<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\u3092\u8868\u793a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># t \u306e\u7bc4\u56f2\u30920.01\u3054\u3068\u306b\u5206\u5272\u3002<\/span>\r\n<span class=\"n\">t<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">T<\/span><span class=\"p\">(<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"mf\">0.01<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6915\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltanim01.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u9014\u4e2d\u307e\u3067\u306e\u30b0\u30e9\u30d5\uff08\u767d\u629c\u70b9\u3064\u304d\uff09\">\u9014\u4e2d\u307e\u3067\u306e\u30b0\u30e9\u30d5\uff08\u767d\u629c\u70b9\u3064\u304d\uff09<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># 45\u00b0\u3092\u30e9\u30b8\u30a2\u30f3\u306b\u306a\u304a\u3059\u3002<\/span>\r\n<span class=\"n\">th0<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">45<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\u3092\u8868\u793a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u8ecc\u9053\u306e\u9014\u4e2d\u307e\u3067\u3092\u63cf\u304f\u4f8b\u3002<\/span>\r\n<span class=\"c1\"># tend \u307e\u3067\u306e\u7bc4\u56f2\u30920.01\u3054\u3068\u306b\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">5<\/span>\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"n\">tend<\/span> <span class=\"o\">=<\/span> <span class=\"n\">T<\/span><span class=\"p\">(<\/span><span class=\"n\">th0<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"o\">\/<\/span><span class=\"n\">frames<\/span>\r\n<span class=\"n\">t<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.01<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># tend \u307e\u3067\u66f2\u7dda\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># tend \u306e\u3068\u3053\u308d\u306b\u25cb\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n         <span class=\"n\">marker<\/span><span class=\"o\">=<\/span><span class=\"s1\">'o'<\/span><span class=\"p\">,<\/span>\r\n         <span class=\"n\">markeredgecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'blue'<\/span><span class=\"p\">,<\/span>\r\n         <span class=\"n\">markerfacecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'none'<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6916\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltanim02.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h5 id=\"FuncAnimation()-\u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210\"><code>FuncAnimation()<\/code> \u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210<\/h5>\n<p>$t$ \u306e\u7bc4\u56f2 $[0, T(\\theta_0)]$ \u3092 <code>frames<\/code> \u500b\u306b\u5206\u5272\u3057\uff0c\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u3092\u4f5c\u6210\u3059\u308b\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6\u3092\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">288<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># 45\u00b0\u3092\u30e9\u30b8\u30a2\u30f3\u306b\u306a\u304a\u3059\u3002<\/span>\r\n<span class=\"n\">th0<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">45<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u9014\u4e2d T(th0)*i\/frames \u307e\u3067\u306e\u66f2\u7dda\u3068\u767d\u629c\u304d\u306e\u5186\u3092\u63cf\u304f\u3088\u3046\u306b<\/span>\r\n<span class=\"c1\"># func \u3092\u5b9a\u7fa9<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">func<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u524d\u306e frame \u3092\u6d88\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/span><span class=\"p\">()<\/span>\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\u3092\u8868\u793a<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n    \r\n    <span class=\"c1\"># tend \u3092\u5c11\u3057\u305a\u3064\u5909\u5316\u3055\u305b\u3066\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3002<\/span>\r\n    <span class=\"n\">tend<\/span> <span class=\"o\">=<\/span> <span class=\"n\">T<\/span><span class=\"p\">(<\/span><span class=\"n\">th0<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"o\">\/<\/span><span class=\"n\">frames<\/span>\r\n    <span class=\"n\">t<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.01<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># tend \u307e\u3067\u66f2\u7dda\u3092\u63cf\u304f<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># tend \u306e\u3068\u3053\u308d\u306b\u25cb\u3092\u63cf\u304f<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n             <span class=\"n\">marker<\/span><span class=\"o\">=<\/span><span class=\"s1\">'o'<\/span><span class=\"p\">,<\/span>\r\n             <span class=\"n\">markeredgecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'blue'<\/span><span class=\"p\">,<\/span>\r\n             <span class=\"n\">markerfacecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'none'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5909\u6570\u540d frames \u306f\u56fa\u5b9a\u3002<\/span>\r\n<span class=\"c1\"># \u8ecc\u9053\u5168\u4f53\u3092 frames \u500b\u306b\u5206\u5272\u3057\u3066\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3002<\/span>\r\n<span class=\"c1\"># frames \u6570\u3092\u5897\u3084\u3057\uff0cinterval \u3092\u77ed\u304f\u3059\u308b\u3068\u6ed1\u3089\u304b\u306b\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">5<\/span>\r\n<span class=\"n\">ani<\/span> <span class=\"o\">=<\/span> <span class=\"n\">FuncAnimation<\/span><span class=\"p\">(<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">func<\/span><span class=\"p\">,<\/span>  \r\n        <span class=\"c1\"># interval \u306f frame \u9593\u306e\u6642\u9593\u3092\u30df\u30ea\u79d2\u5358\u4f4d\u3067\u3002<\/span>\r\n        <span class=\"n\">interval<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1000<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"c1\"># \u7aef\u70b9\u3082\u542b\u3081\u3066 frames+1 \u500b\u306e\u30b3\u30de\u6570\u306b\u3057\u3066\u307f\u305f\u3002<\/span>\r\n        <span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u52d5\u753b\u3092 jupyterhub \u306e\u30db\u30fc\u30e0\u306b mp4 \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3002<\/span>\r\n<span class=\"n\">ani<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"anim01.mp4\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e mp4 \u30d5\u30a1\u30a4\u30eb\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u78ba\u8a8d\u3002<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-1\" width=\"750\" height=\"500\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim01.mp4?_=1\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim01.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim01.mp4<\/a><\/video><\/div>\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=\"\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f\">\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f<\/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[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># 45\u00b0\u3092\u30e9\u30b8\u30a2\u30f3\u306b\u306a\u304a\u3059\u3002<\/span>\r\n<span class=\"n\">th0<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">radians<\/span><span class=\"p\">(<\/span><span class=\"mi\">45<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\u3092\u8868\u793a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># tend \u3067\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>\r\n<span class=\"n\">tend<\/span> <span class=\"o\">=<\/span> <span class=\"n\">T<\/span><span class=\"p\">(<\/span><span class=\"n\">th0<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"o\">\/<\/span><span class=\"n\">frames<\/span>\r\n\r\n<span class=\"c1\"># vx<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n           <span class=\"n\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u901f\u5ea6\u306e x \u6210\u5206\"<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'blue'<\/span><span class=\"p\">,<\/span> \r\n           <span class=\"c1\"># \u4ee5\u4e0b\u306e3\u70b9\u30bb\u30c3\u30c8\u3092\u66f8\u304b\u306a\u3044\u3068\u81ea\u52d5\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3055\u308c\u308b<\/span>\r\n           <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">7<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># vy<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n           <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">vy<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u901f\u5ea6\u306e y \u6210\u5206\"<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'red'<\/span><span class=\"p\">,<\/span> \r\n           <span class=\"c1\"># \u4ee5\u4e0b\u306e3\u70b9\u30bb\u30c3\u30c8\u3092\u66f8\u304b\u306a\u3044\u3068\u81ea\u52d5\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3055\u308c\u308b<\/span>\r\n           <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">7<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># v<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n           <span class=\"n\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">vy<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\"<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> \r\n           <span class=\"c1\"># \u4ee5\u4e0b\u306e3\u70b9\u30bb\u30c3\u30c8\u3092\u66f8\u304b\u306a\u3044\u3068\u81ea\u52d5\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3055\u308c\u308b<\/span>\r\n           <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">7<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># tend \u307e\u3067\u66f2\u7dda\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">t<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.01<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"violet\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># tend \u306e\u3068\u3053\u308d\u306b\u25cb\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n             <span class=\"n\">marker<\/span><span class=\"o\">=<\/span><span class=\"s1\">'o'<\/span><span class=\"p\">,<\/span>\r\n             <span class=\"n\">markeredgecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'violet'<\/span><span class=\"p\">,<\/span>\r\n             <span class=\"n\">markerfacecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'none'<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6918\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltanim03.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h5 id=\"FuncAnimation()-\u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210\"><code>FuncAnimation()<\/code> \u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210<\/h5>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[10]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6\u3092\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">288<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u9014\u4e2d T(th0)*i\/frames \u307e\u3067\u306e\u66f2\u7dda\u3068\u25cb\u3092\u63cf\u304f\u3088\u3046\u306b<\/span>\r\n<span class=\"c1\"># func \u3092\u5b9a\u7fa9<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">func<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u524d\u306e frame \u3092\u6d88\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/span><span class=\"p\">()<\/span>\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\u3092\u8868\u793a<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n\r\n    <span class=\"c1\"># tend \u3092\u5c11\u3057\u305a\u3064\u5909\u5316\u3055\u305b\u3066\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3002<\/span>\r\n    <span class=\"n\">tend<\/span> <span class=\"o\">=<\/span> <span class=\"n\">T<\/span><span class=\"p\">(<\/span><span class=\"n\">th0<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"o\">\/<\/span><span class=\"n\">frames<\/span>\r\n    <span class=\"c1\"># vx<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n               <span class=\"n\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u901f\u5ea6\u306e x \u6210\u5206\"<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'blue'<\/span><span class=\"p\">,<\/span> \r\n               <span class=\"c1\"># \u4ee5\u4e0b\u306e3\u70b9\u30bb\u30c3\u30c8\u3092\u66f8\u304b\u306a\u3044\u3068\u81ea\u52d5\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3055\u308c\u308b<\/span>\r\n               <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">7<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># vy<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n               <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">vy<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u901f\u5ea6\u306e y \u6210\u5206\"<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'red'<\/span><span class=\"p\">,<\/span> \r\n               <span class=\"c1\"># \u4ee5\u4e0b\u306e3\u70b9\u30bb\u30c3\u30c8\u3092\u66f8\u304b\u306a\u3044\u3068\u81ea\u52d5\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3055\u308c\u308b<\/span>\r\n               <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">7<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># v<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n               <span class=\"n\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">vy<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span><span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\"<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> \r\n               <span class=\"c1\"># \u4ee5\u4e0b\u306e3\u70b9\u30bb\u30c3\u30c8\u3092\u66f8\u304b\u306a\u3044\u3068\u81ea\u52d5\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3055\u308c\u308b<\/span>\r\n               <span class=\"n\">angles<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale_units<\/span><span class=\"o\">=<\/span><span class=\"s1\">'xy'<\/span><span class=\"p\">,<\/span> <span class=\"n\">scale<\/span><span class=\"o\">=<\/span><span class=\"mi\">7<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># tend \u307e\u3067\u66f2\u7dda\u3092\u63cf\u304f<\/span>\r\n    <span class=\"n\">t<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.01<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"violet\"<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># tend \u306e\u3068\u3053\u308d\u306b\u25cb\u3092\u63cf\u304f<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">tend<\/span><span class=\"p\">,<\/span> <span class=\"n\">th0<\/span><span class=\"p\">),<\/span> \r\n                 <span class=\"n\">marker<\/span><span class=\"o\">=<\/span><span class=\"s1\">'o'<\/span><span class=\"p\">,<\/span>\r\n                 <span class=\"n\">markeredgecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'violet'<\/span><span class=\"p\">,<\/span>\r\n                 <span class=\"n\">markerfacecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'none'<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"c1\"># \u5909\u6570\u540d frames \u306f\u56fa\u5b9a\u3002<\/span>\r\n<span class=\"c1\"># \u8ecc\u9053\u5168\u4f53\u3092 frames \u500b\u306b\u5206\u5272\u3057\u3066\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3002<\/span>\r\n<span class=\"c1\"># frames \u6570\u3092\u5897\u3084\u3057\uff0cinterval \u3092\u77ed\u304f\u3059\u308b\u3068\u6ed1\u3089\u304b\u306b\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\r\n<span class=\"n\">ani<\/span> <span class=\"o\">=<\/span> <span class=\"n\">FuncAnimation<\/span><span class=\"p\">(<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">func<\/span><span class=\"p\">,<\/span>  \r\n        <span class=\"c1\"># interval \u306f frame \u9593\u306e\u6642\u9593\u3092\u30df\u30ea\u79d2\u5358\u4f4d\u3067\u3002<\/span>\r\n        <span class=\"n\">interval<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1000<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"c1\"># \u7aef\u70b9\u3082\u542b\u3081\u3066 frames+1 \u500b\u306e\u30b3\u30de\u6570\u306b\u3057\u3066\u307f\u305f\u3002<\/span>\r\n        <span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u52d5\u753b\u3092 jupyterhub \u306e\u30db\u30fc\u30e0\u306b mp4 \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3002<\/span>\r\n<span class=\"n\">ani<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"anim02.mp4\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e mp4 \u30d5\u30a1\u30a4\u30eb\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u78ba\u8a8d\u3002<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-2\" width=\"750\" height=\"500\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim02.mp4?_=2\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim02.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim02.mp4<\/a><\/video><\/div>\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=\"\u53c2\u8003\uff1affmpeg-\u3067\u52d5\u753b\u3092\u9023\u7d50\u3059\u308b\">\u53c2\u8003\uff1a<code>ffmpeg<\/code> \u3067\u52d5\u753b\u3092\u9023\u7d50\u3059\u308b<\/h4>\n<p>\u4e0a\u8a18\u3067\u4f5c\u6210\u3057\u305f2\u3064\u306e\u52d5\u753b\u30d5\u30a1\u30a4\u30eb <code>anim01.mp4<\/code>\uff0c<code>anim02.mp4<\/code> \u306f\u89e3\u50cf\u5ea6\uff08<code>figsize<\/code> \u3068 <code>dpi<\/code>\uff09\u3082\u30d5\u30ec\u30fc\u30e0\u30ec\u30fc\u30c8\uff08<code>interval<\/code>\uff09\u3082\u540c\u3058\u306a\u306e\u3067\uff0c<code>ffmpeg<\/code> \u3067\u7c21\u5358\u306b\u9023\u7d50\u3067\u304d\u307e\u3059\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-ipython3\">\n<pre><span class=\"c1\"># \u307e\u305a\u306f\u9023\u7d50\u3057\u305f\u3044\u52d5\u753b\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u308b<\/span>\r\n<span class=\"n\">dat<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"file anim01.mp4\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"file anim02.mp4\"<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">savetxt<\/span><span class=\"p\">(<\/span><span class=\"s1\">'input.txt'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dat<\/span><span class=\"p\">,<\/span> <span class=\"n\">fmt<\/span><span class=\"o\">=<\/span><span class=\"s1\">'<\/span><span class=\"si\">%s<\/span><span class=\"s1\">'<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u6587\u5b57\u5217\u3068\u3057\u3066\u66f8\u304d\u8fbc\u3080<\/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[12]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u5ff5\u306e\u305f\u3081\uff0cinput.txt \u306e\u5185\u5bb9\u3092\u78ba\u8a8d<\/span>\r\n<span class=\"o\">!<\/span>cat input.txt\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_subarea output_stream output_stdout output_text\">\n<pre>file anim01.mp4\r\nfile anim02.mp4\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[13]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u3059\u3067\u306b\uff08\u53e4\u3044\uff09output12.mp4 \u304c\u3042\u308b\u5834\u5408\u306f\u524a\u9664<\/span>\r\n<span class=\"o\">!<\/span>rm -f outfile12.mp4\r\n<span class=\"c1\"># input.txt \u306e\u5185\u5bb9\u3092\u8aad\u307f\u8fbc\u3093\u3067\u52d5\u753b\u30d5\u30a1\u30a4\u30eb\u3092\u9023\u7d50\u3057\uff0c<\/span>\r\n<span class=\"c1\"># outfile12.mp4 \u3068\u3057\u3066\u4f5c\u6210<\/span>\r\n<span class=\"o\">!<\/span>ffmpeg -hide_banner -loglevel error -f concat -i input.txt -c copy outfile12.mp4\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e outfile12.mp4 \u30d5\u30a1\u30a4\u30eb\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u78ba\u8a8d\u3002<\/span><\/pre>\n<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-3\" width=\"750\" height=\"500\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Outfile12.mp4?_=3\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Outfile12.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Outfile12.mp4<\/a><\/video><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u5186\u904b\u52d5\u3092\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3059\u308b\">\u5186\u904b\u52d5\u3092\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3059\u308b<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u5186\u904b\u52d5\u306e\u5a92\u4ecb\u5909\u6570\u8868\u793a\">\u5186\u904b\u52d5\u306e\u5a92\u4ecb\u5909\u6570\u8868\u793a<\/h4>\n<p>\u534a\u5f84 $1$\uff0c\u5468\u671f $T$\uff08\u3057\u305f\u304c\u3063\u3066\u89d2\u632f\u52d5\u6570\u304c $\\omega \\equiv \\frac{2\\pi}{T}$\uff09\u306e\u5186\u904b\u52d5\u306e $x$ \u5ea7\u6a19\uff0c$y$ \u5ea7\u6a19\u306f<\/p>\n<p>\\begin{eqnarray}<br \/>\nx &amp;=&amp; \\cos \\frac{2\\pi}{T} t = \\cos \\omega t \\\\<br \/>\ny &amp;=&amp; \\sin \\frac{2\\pi}{T} t = \\sin \\omega t<br \/>\n\\end{eqnarray}<\/p>\n<p>\u5468\u671f $T$ \u3092 $N$ \u7b49\u5206\u3057\uff0c<br \/>\n\\begin{eqnarray}<br \/>\n\\Delta t &amp;\\equiv&amp; \\frac{T}{N} \\\\<br \/>\nt_i &amp;=&amp; \\Delta t \\times i, \\quad (i = 0, 1, \\dots, N)<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3064\u307e\u308a<br \/>\n$$\\omega t_i = \\frac{2\\pi}{N} \\times i, \\quad (i = 0, 1, \\dots, N)$$<br \/>\n\u3068\u3057\u3066\uff0c\u7b49\u3057\u3044\u6642\u9593\u9593\u9694 $\\displaystyle \\Delta t$ \u3054\u3068\u306e\u4f4d\u7f6e $x(\\omega t_i), \\ y(\\omega t_i)$ \u3092\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[14]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u5206\u5272\u6570 frames \u306f\u30b0\u30ed\u30fc\u30d0\u30eb\u5909\u6570<\/span>\r\n\r\n<span class=\"k\">def<\/span> <span class=\"nf\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">global<\/span> <span class=\"n\">frames<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">\/<\/span><span class=\"n\">frames<\/span> <span class=\"o\">*<\/span> <span class=\"n\">i<\/span>\r\n    \r\n<span class=\"c1\"># \u5186\u5468\u4e0a\u306e i \u756a\u76ee\u306e x \u5ea7\u6a19<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegaT<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">omegaT<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u5468\u4e0a\u306e i \u756a\u76ee\u306e y \u5ea7\u6a19<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegaT<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">omegaT<\/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=\"\u307e\u305a\u306f\u9014\u4e2d\u307e\u3067\u306e\u8ecc\u9053\u3092\u63cf\u304f\">\u307e\u305a\u306f\u9014\u4e2d\u307e\u3067\u306e\u8ecc\u9053\u3092\u63cf\u304f<\/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[15]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u5206\u5272\u6570<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">36<\/span>\r\n<span class=\"c1\"># <\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u5916\u67a0\u3068\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>\r\n<span class=\"c1\"># i \u756a\u76ee\u307e\u3067\u306e\u8ecc\u9053<\/span>\r\n<span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">),<\/span> <span class=\"mf\">0.02<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># i \u756a\u76ee\u306e\u4f4d\u7f6e\u306b\u8d64\u4e38<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">)),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">)),<\/span> <span class=\"s2\">\"or\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6921\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltanim04.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<h5 id=\"FuncAnimation()-\u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210\"><code>FuncAnimation()<\/code> \u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210<\/h5>\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[16]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># <\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">],<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">288<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"k\">def<\/span> <span class=\"nf\">func<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u524d\u306e frame \u3092\u6d88\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/span><span class=\"p\">()<\/span>\r\n\r\n    <span class=\"c1\"># \u5916\u67a0\u3068\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># i \u756a\u76ee\u307e\u3067\u306e\u8ecc\u9053<\/span>\r\n    <span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">),<\/span> <span class=\"mf\">0.02<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">))<\/span>\r\n\r\n    <span class=\"c1\"># i \u756a\u76ee\u306e\u4f4d\u7f6e\u306b\u8d64\u4e38<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">)),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">)),<\/span> <span class=\"s2\">\"or\"<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"c1\"># \u5909\u6570\u540d frames \u306f\u56fa\u5b9a\u3002<\/span>\r\n<span class=\"c1\"># \u8ecc\u9053\u5168\u4f53\u3092 frames \u500b\u306b\u5206\u5272\u3057\u3066\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3002<\/span>\r\n<span class=\"c1\"># frames \u6570\u3092\u5897\u3084\u3057\uff0cinterval \u3092\u77ed\u304f\u3059\u308b\u3068\u6ed1\u3089\u304b\u306b\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">36<\/span>\r\n\r\n<span class=\"n\">ani<\/span> <span class=\"o\">=<\/span> <span class=\"n\">FuncAnimation<\/span><span class=\"p\">(<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">func<\/span><span class=\"p\">,<\/span>  \r\n        <span class=\"c1\"># interval \u306f frame \u9593\u306e\u6642\u9593\u3092\u30df\u30ea\u79d2\u5358\u4f4d\u3067\u3002<\/span>\r\n        <span class=\"n\">interval<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">200<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"c1\"># \u6700\u5f8c\u306e\u7aef\u70b9\u3082\u542b\u3081\u3066 frames+1 \u500b\u306e\u30b3\u30de\u6570\u306b\u3057\u3066\u307f\u305f\u3002<\/span>\r\n        <span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u52d5\u753b\u3092 jupyterhub \u306e\u30db\u30fc\u30e0\u306b mp4 \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3002<\/span>\r\n<span class=\"n\">ani<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"anim03.mp4\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e mp4 \u30d5\u30a1\u30a4\u30eb\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u78ba\u8a8d\u3002<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-4\" width=\"750\" height=\"750\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim03.mp4?_=4\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim03.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim03.mp4<\/a><\/video><\/div>\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=\"\u5186\u8ecc\u9053\u5168\u4f53\u306b\u4e00\u5b9a\u6642\u9593\u3054\u3068\u306e\u4f4d\u7f6e\u3092\u63cf\u304f\">\u5186\u8ecc\u9053\u5168\u4f53\u306b\u4e00\u5b9a\u6642\u9593\u3054\u3068\u306e\u4f4d\u7f6e\u3092\u63cf\u304f<\/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[17]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># <\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u5916\u67a0\u3068\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u8ecc\u9053\u306f\u5168\u4f53<\/span>\r\n<span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.02<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u5206\u5272\u6570<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">36<\/span>\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>\r\n<span class=\"c1\"># \u4e00\u5b9a\u6642\u9593\u3054\u3068\u306e\u4f4d\u7f6e\u3092i \u756a\u76ee\u307e\u3067\u63cf\u304f<\/span>\r\n<span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">),<\/span> <span class=\"n\">i<\/span> <span class=\"o\">+<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"or\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6923\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltanim05.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<h5 id=\"FuncAnimation()-\u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210\"><code>FuncAnimation()<\/code> \u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210<\/h5>\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[18]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># <\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">],<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">288<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"k\">def<\/span> <span class=\"nf\">func<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u524d\u306e frame \u3092\u6d88\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/span><span class=\"p\">()<\/span>\r\n\r\n    <span class=\"c1\"># \u5916\u67a0\u3068\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u5186\u8ecc\u9053\u306f\u5168\u4f53<\/span>\r\n    <span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.02<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">))<\/span>\r\n\r\n    <span class=\"c1\"># \u4e00\u5b9a\u6642\u9593\u3054\u3068\u306e\u4f4d\u7f6e\u3092 i \u756a\u76ee\u307e\u3067\u63cf\u304f<\/span>\r\n    <span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">),<\/span> <span class=\"n\">i<\/span> <span class=\"o\">+<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"or\"<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5909\u6570\u540d frames \u306f\u56fa\u5b9a\u3002<\/span>\r\n<span class=\"c1\"># \u8ecc\u9053\u5168\u4f53\u3092 frames \u500b\u306b\u5206\u5272\u3057\u3066\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3002<\/span>\r\n<span class=\"c1\"># frames \u6570\u3092\u5897\u3084\u3057\uff0cinterval \u3092\u77ed\u304f\u3059\u308b\u3068\u6ed1\u3089\u304b\u306b\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">36<\/span>\r\n\r\n<span class=\"n\">ani<\/span> <span class=\"o\">=<\/span> <span class=\"n\">FuncAnimation<\/span><span class=\"p\">(<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">func<\/span><span class=\"p\">,<\/span>  \r\n        <span class=\"c1\"># interval \u306f frame \u9593\u306e\u6642\u9593\u3092\u30df\u30ea\u79d2\u5358\u4f4d\u3067\u3002<\/span>\r\n        <span class=\"n\">interval<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">200<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"c1\"># \u6700\u5f8c\u306e\u7aef\u70b9\u3082\u542b\u3081\u305a frames \u500b\u306e\u30b3\u30de\u6570\u306b\u3057\u3066\u307f\u305f\u3002<\/span>\r\n        <span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u52d5\u753b\u3092 jupyterhub \u306e\u30db\u30fc\u30e0\u306b mp4 \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3002<\/span>\r\n<span class=\"n\">ani<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"anim04.mp4\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e mp4 \u30d5\u30a1\u30a4\u30eb\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u78ba\u8a8d\u3002<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-5\" width=\"750\" height=\"750\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim04.mp4?_=5\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim04.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim04.mp4<\/a><\/video><\/div>\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=\"\u0394t-\u306e\u9593\u306b\u6383\u304f\u6247\u5f62\u3092\u63cf\u304f\">\u0394t \u306e\u9593\u306b\u6383\u304f\u6247\u5f62\u3092\u63cf\u304f<\/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[19]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># <\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u5916\u67a0\u3068\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u8ecc\u9053\u306f\u5168\u4f53<\/span>\r\n<span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.02<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5206\u5272\u6570<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">36<\/span>\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>\r\n<span class=\"c1\"># \u539f\u70b9\u3068 i \u756a\u76ee\u3092\u7d50\u3076\u76f4\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u539f\u70b9\u3068 i+1 \u756a\u76ee\u3092\u7d50\u3076\u76f4\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))],<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u4e00\u5b9a\u6642\u9593\u3054\u3068\u306e\u4f4d\u7f6e\u3092\u5168 frames \u500b<\/span>\r\n<span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">),<\/span> <span class=\"n\">frames<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"or\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6925\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltanim06.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<h5 id=\"FuncAnimation()-\u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210\"><code>FuncAnimation()<\/code> \u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210<\/h5>\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[20]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># <\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">],<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">288<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"k\">def<\/span> <span class=\"nf\">func<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u524d\u306e frame \u3092\u6d88\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/span><span class=\"p\">()<\/span>\r\n\r\n    <span class=\"c1\"># \u5916\u67a0\u3068\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u5186\u8ecc\u9053\u306f\u5168\u4f53<\/span>\r\n    <span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.02<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u539f\u70b9\u3068 i \u756a\u76ee\u3092\u7d50\u3076\u76f4\u7dda<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># \u539f\u70b9\u3068 i+1 \u756a\u76ee\u3092\u7d50\u3076\u76f4\u7dda<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))],<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u4e00\u5b9a\u6642\u9593\u3054\u3068\u306e\u4f4d\u7f6e\u3092\u5168 frames \u500b<\/span>\r\n    <span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">),<\/span> <span class=\"n\">frames<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"or\"<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    \r\n<span class=\"c1\"># \u5909\u6570\u540d frames \u306f\u56fa\u5b9a\u3002<\/span>\r\n<span class=\"c1\"># \u8ecc\u9053\u5168\u4f53\u3092 frames \u500b\u306b\u5206\u5272\u3057\u3066\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3002<\/span>\r\n<span class=\"c1\"># frames \u6570\u3092\u5897\u3084\u3057\uff0cinterval \u3092\u77ed\u304f\u3059\u308b\u3068\u6ed1\u3089\u304b\u306b\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">36<\/span>\r\n\r\n<span class=\"n\">ani<\/span> <span class=\"o\">=<\/span> <span class=\"n\">FuncAnimation<\/span><span class=\"p\">(<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">func<\/span><span class=\"p\">,<\/span>  \r\n        <span class=\"c1\"># interval \u306f frame \u9593\u306e\u6642\u9593\u3092\u30df\u30ea\u79d2\u5358\u4f4d\u3067\u3002<\/span>\r\n        <span class=\"n\">interval<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">200<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"c1\"># \u6700\u5f8c\u306e\u7aef\u70b9\u3082\u542b\u3081\u305a frames \u500b\u306e\u30b3\u30de\u6570\u306b\u3057\u3066\u307f\u305f\u3002<\/span>\r\n        <span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u52d5\u753b\u3092 jupyterhub \u306e\u30db\u30fc\u30e0\u306b mp4 \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3002<\/span>\r\n<span class=\"n\">ani<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"anim05.mp4\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e mp4 \u30d5\u30a1\u30a4\u30eb\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u78ba\u8a8d\u3002<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-6\" width=\"750\" height=\"750\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim05.mp4?_=6\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim05.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim05.mp4<\/a><\/video><\/div>\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=\"\u0394t-\u306e\u9593\u306b\u6383\u304f\u6247\u5f62\u3092\u5857\u308a\u3064\u3076\u3059\">\u0394t \u306e\u9593\u306b\u6383\u304f\u6247\u5f62\u3092\u5857\u308a\u3064\u3076\u3059<\/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[21]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># <\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u5916\u67a0\u3068\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5186\u8ecc\u9053\u306f\u5168\u4f53<\/span>\r\n<span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.02<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5206\u5272\u6570<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">36<\/span>\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/span>\r\n<span class=\"c1\"># i ~ i+1 \u306e\u6247\u5f62\u3092\u5857\u308a\u3064\u3076\u3059<\/span>\r\n<span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">),<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">),<\/span> <span class=\"mi\">50<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># list \u306b\u3057\u3066\u304b\u3089\u7d50\u5408<\/span>\r\n<span class=\"n\">Xougi<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">+<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">tolist<\/span><span class=\"p\">()<\/span> \r\n<span class=\"n\">Yougi<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">+<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">tolist<\/span><span class=\"p\">()<\/span> \r\n<span class=\"c1\"># \u6247\u5f62\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">(<\/span><span class=\"n\">Xougi<\/span><span class=\"p\">,<\/span> <span class=\"n\">Yougi<\/span><span class=\"p\">,<\/span> <span class=\"n\">fc<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"yellow\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u539f\u70b9\u3068 i \u756a\u76ee\u3092\u7d50\u3076\u76f4\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u539f\u70b9\u3068 i+1 \u756a\u76ee\u3092\u7d50\u3076\u76f4\u7dda<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))],<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u4e00\u5b9a\u6642\u9593\u3054\u3068\u306e\u4f4d\u7f6e\u3092\u5168 frames \u500b<\/span>\r\n<span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">),<\/span> <span class=\"n\">frames<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"or\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6927\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Pltanim07.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<h5 id=\"FuncAnimation()-\u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210\"><code>FuncAnimation()<\/code> \u3067\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u4f5c\u6210<\/h5>\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[22]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># <\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">5<\/span><span class=\"p\">],<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">288<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">add_subplot<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"k\">def<\/span> <span class=\"nf\">func<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u524d\u306e frame \u3092\u6d88\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/span><span class=\"p\">()<\/span>\r\n\r\n    <span class=\"c1\"># \u5916\u67a0\u3068\u76ee\u76db\u3092\u975e\u8868\u793a\u306b<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092 equal \u306b<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.2<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u5186\u8ecc\u9053\u306f\u5168\u4f53<\/span>\r\n    <span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.02<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># i ~ i+1 \u306e\u6247\u5f62\u3092\u5857\u308a\u3064\u3076\u3059<\/span>\r\n    <span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">),<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">),<\/span> <span class=\"mi\">50<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># list \u306b\u3057\u3066\u304b\u3089\u7d50\u5408<\/span>\r\n    <span class=\"n\">Xougi<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">+<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">tolist<\/span><span class=\"p\">()<\/span> <span class=\"o\">+<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n    <span class=\"n\">Yougi<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">+<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">tolist<\/span><span class=\"p\">()<\/span> <span class=\"o\">+<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span> \r\n    <span class=\"c1\"># \u6247\u5f62\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">(<\/span><span class=\"n\">Xougi<\/span><span class=\"p\">,<\/span> <span class=\"n\">Yougi<\/span><span class=\"p\">,<\/span> <span class=\"n\">fc<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"yellow\"<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u539f\u70b9\u3068 i \u756a\u76ee\u3092\u7d50\u3076\u76f4\u7dda<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># \u539f\u70b9\u3068 i+1 \u756a\u76ee\u3092\u7d50\u3076\u76f4\u7dda<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))],<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u4e00\u5b9a\u6642\u9593\u3054\u3068\u306e\u4f4d\u7f6e\u3092\u5168 frames \u500b<\/span>\r\n    <span class=\"n\">omt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">),<\/span> <span class=\"n\">frames<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"or\"<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    \r\n<span class=\"c1\"># \u5909\u6570\u540d frames \u306f\u56fa\u5b9a\u3002<\/span>\r\n<span class=\"c1\"># \u8ecc\u9053\u5168\u4f53\u3092 frames \u500b\u306b\u5206\u5272\u3057\u3066\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3002<\/span>\r\n<span class=\"c1\"># frames \u6570\u3092\u5897\u3084\u3057\uff0cinterval \u3092\u77ed\u304f\u3059\u308b\u3068\u6ed1\u3089\u304b\u306b\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">36<\/span>\r\n\r\n<span class=\"n\">ani<\/span> <span class=\"o\">=<\/span> <span class=\"n\">FuncAnimation<\/span><span class=\"p\">(<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">func<\/span><span class=\"p\">,<\/span>  \r\n        <span class=\"c1\"># interval \u306f frame \u9593\u306e\u6642\u9593\u3092\u30df\u30ea\u79d2\u5358\u4f4d\u3067\u3002<\/span>\r\n        <span class=\"n\">interval<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">200<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"c1\"># \u6700\u5f8c\u306e\u7aef\u70b9\u3082\u542b\u3081\u305a frames \u500b\u306e\u30b3\u30de\u6570\u306b\u3057\u3066\u307f\u305f\u3002<\/span>\r\n        <span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u52d5\u753b\u3092 jupyterhub \u306e\u30db\u30fc\u30e0\u306b mp4 \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3002<\/span>\r\n<span class=\"n\">ani<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"anim06.mp4\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e mp4 \u30d5\u30a1\u30a4\u30eb\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u78ba\u8a8d\u3002<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-7\" width=\"750\" height=\"750\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim06.mp4?_=7\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim06.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Anim06.mp4<\/a><\/video><\/div>\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=\"\u53c2\u8003\uff1affmpeg-\u3067\u52d5\u753b\u3092\u9023\u7d50\u3059\u308b\">\u53c2\u8003\uff1a<code>ffmpeg<\/code> \u3067\u52d5\u753b\u3092\u9023\u7d50\u3059\u308b<\/h4>\n<p>\u4e0a\u8a18\u3067\u4f5c\u6210\u3057\u305f2\u3064\u306e\u52d5\u753b\u30d5\u30a1\u30a4\u30eb <code>anim03.mp4<\/code>\uff0c<code>anim04.mp4<\/code>\uff0c<code>anim06.mp4<\/code> \u306f\u89e3\u50cf\u5ea6\uff08<code>figsize<\/code> \u3068 <code>dpi<\/code>\uff09\u3082\u30d5\u30ec\u30fc\u30e0\u30ec\u30fc\u30c8\uff08<code>interval<\/code>\uff09\u3082\u540c\u3058\u306a\u306e\u3067\uff0c<code>ffmpeg<\/code> \u3067\u7c21\u5358\u306b\u9023\u7d50\u3067\u304d\u307e\u3059\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[23]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u307e\u305a\u306f\u9023\u7d50\u3057\u305f\u3044\u52d5\u753b\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u308b<\/span>\r\n<span class=\"n\">dat<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"s2\">\"file anim03.mp4\"<\/span><span class=\"p\">,<\/span> \r\n       <span class=\"s2\">\"file anim04.mp4\"<\/span><span class=\"p\">,<\/span> \r\n       <span class=\"s2\">\"file anim06.mp4\"<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">savetxt<\/span><span class=\"p\">(<\/span><span class=\"s1\">'input.txt'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dat<\/span><span class=\"p\">,<\/span> <span class=\"n\">fmt<\/span><span class=\"o\">=<\/span><span class=\"s1\">'<\/span><span class=\"si\">%s<\/span><span class=\"s1\">'<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u6587\u5b57\u5217\u3068\u3057\u3066\u66f8\u304d\u8fbc\u3080<\/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[24]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u5ff5\u306e\u305f\u3081\uff0cinput.txt \u306e\u5185\u5bb9\u3092\u78ba\u8a8d<\/span>\r\n<span class=\"o\">!<\/span>cat input.txt\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_subarea output_stream output_stdout output_text\">\n<pre>file anim03.mp4\r\nfile anim04.mp4\r\nfile anim06.mp4\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[25]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u3059\u3067\u306b\uff08\u53e4\u3044\uff09output345.mp4 \u304c\u3042\u308b\u5834\u5408\u306f\u524a\u9664<\/span>\r\n<span class=\"o\">!<\/span>rm -f outfile346.mp4\r\n<span class=\"c1\"># input.txt \u306e\u5185\u5bb9\u3092\u8aad\u307f\u8fbc\u3093\u3067\u52d5\u753b\u30d5\u30a1\u30a4\u30eb\u3092\u9023\u7d50\u3057\uff0c<\/span>\r\n<span class=\"c1\"># outfile346.mp4 \u3068\u3057\u3066\u4f5c\u6210<\/span>\r\n<span class=\"o\">!<\/span>ffmpeg -hide_banner -loglevel error -f concat -i input.txt -c copy outfile346.mp4\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e outfile346.mp4 \u30d5\u30a1\u30a4\u30eb\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u78ba\u8a8d\u3002<\/span>\r\n<\/pre>\n<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-8\" width=\"750\" height=\"750\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Outfile346.mp4?_=8\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Outfile346.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Outfile346.mp4<\/a><\/video><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6700\u7d42\u7684\u306b\u306f\uff0c\u6955\u5186\u8ecc\u9053\u306e\u5834\u5408\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u52d5\u753b\u3092\u4f5c\u308b\u3053\u3068\u3092\u76ee\u6a19\u306b\u3002<\/p>\n<div style=\"width: 640px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-6861-9\" width=\"640\" height=\"360\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/kepler-12.mp4?_=9\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/kepler-12.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/kepler-12.mp4<\/a><\/video><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u300cMatplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aplt \u7de8\u300d\u3067\u89e3\u8aac\u3057\u305f\u65b9\u6cd5\u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\uff0cmatplotlib.animation.FuncAnimation() \u3067\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3059\u308b\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/python-%e3%81%a7%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/matplotlib-%e3%81%a7%e4%bd%9c%e6%88%90%e3%81%97%e3%81%9f%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e3%82%a2%e3%83%8b%e3%83%a1%e3%83%bc%e3%82%b7%e3%83%a7%e3%83%b3%e3%81%ab%ef%bc%9aplt-%e7%b7%a8\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":6721,"menu_order":50,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-6861","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6861","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"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=6861"}],"version-history":[{"count":15,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6861\/revisions"}],"predecessor-version":[{"id":9842,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6861\/revisions\/9842"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6721"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=6861"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}