{"id":9895,"date":"2024-12-18T12:40:59","date_gmt":"2024-12-18T03:40:59","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=9895"},"modified":"2024-12-24T22:27:56","modified_gmt":"2024-12-24T13:27:56","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%9aax-%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%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90\/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%9aax-%e7%b7%a8\/","title":{"rendered":"Matplotlib \u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306b\uff1aax \u7de8"},"content":{"rendered":"<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u300c<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%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%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90\/matplotlib-%e3%81%a7%e3%82%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90%ef%bc%9aax-%e7%b7%a8\/\">Matplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aax \u7de8<\/a>\u300d\u3067\u89e3\u8aac\u3057\u305f\u65b9\u6cd5\uff0c\u3064\u307e\u308a <code>ax.***<\/code> \u306e\u307f\u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\uff0c<code>matplotlib.animation.FuncAnimation()<\/code> \u3067\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3059\u308b\u3002<\/p>\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\uff1aplt \u7de8<\/a>\u300d\u3067\u89e3\u8aac\u3057\u305f\u65b9\u6cd5\uff0c\u3064\u307e\u308a <code>plt.***<\/code> \u306e\u307f\u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\u4f7f\u3063\u3066\u30a2\u30cb\u30e1\u5316\u3059\u308b\u65b9\u6cd5\u306f\uff0c\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u306b\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li><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%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\/\">Matplotlib \u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306b\uff1aplt \u7de8<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<p><!--more--><\/p>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u30e9\u30a4\u30d6\u30e9\u30ea\u306e-import-\u3068\u521d\u671f\u8a2d\u5b9a\">\u30e9\u30a4\u30d6\u30e9\u30ea\u306e import \u3068\u521d\u671f\u8a2d\u5b9a<\/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.ticker<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">MultipleLocator<\/span>\r\n\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\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\r\n<span class=\"c1\"># mathtext font \u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s1\">'mathtext.fontset'<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'cm'<\/span>\r\n\r\n<span class=\"c1\"># \u30c7\u30d5\u30a9\u30eb\u30c8\u306e figsize \u306e\u8a2d\u5b9a\u5909\u66f4\u306f\uff0c<\/span>\r\n<span class=\"c1\"># \u4e00\u5ea6\u4f55\u304b\u63cf\u3044\u3066\u304b\u3089\u306b\u3059\u308b\u3068\u3088\u3044\u3088\u3046\u3060\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\uff1aax-\u7de8\">Matplotlib \u3067\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u304a\u3055\u3089\u3044\uff1aax \u7de8<\/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%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90\/matplotlib-%e3%81%a7%e3%82%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90%ef%bc%9aax-%e7%b7%a8\/\">Matplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aax \u7de8<\/a>\u300d\u3092\u53c2\u7167\u3002<\/p>\n<p>\u57fa\u672c\u5f62\uff1a<\/p>\n<div class=\"highlight\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"n\">ax<\/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<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<h4 id=\"\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u89e3\">\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u89e3<\/h4>\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=\"\u89e3\u306e\u7121\u6b21\u5143\u5316\">\u89e3\u306e\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[2]:<\/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 $T_f$ \u306f $(2)$ \u5f0f\u304b\u3089<\/p>\n<p>$$ 0 = \\sin\\theta \\cdot T_f &#8211; \\frac{1}{2} T_f^2 $$<\/p>\n<p>\u3088\u308a\uff0c<br \/>\n$$T_f = 2 \\sin \\theta $$<\/p>\n<p>\u3061\u306a\u307f\u306b\uff0c\u3053\u306e\u6642\u9593\u3067\u306e\u6c34\u5e73\u5230\u9054\u8ddd\u96e2 $L_f$ \u306f $(1)$ \u5f0f\u304b\u3089<\/p>\n<p>\\begin{eqnarray}<br \/>\nL_f &amp;=&amp; \\cos\\theta \\cdot T_f \\\\<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[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># f \u306f flight or fall \u306e f<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">Tf<\/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\">Lf<\/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[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\"># \u6a2a\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u7e26\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s1\">'both'<\/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\">thdeg<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">45<\/span>\r\n<span class=\"n\">th<\/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=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># t \u306e\u7bc4\u56f2<\/span>\r\n<span class=\"n\">t<\/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\">Tf<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"n\">ax<\/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\">th<\/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\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'\u03b8 = <\/span><span class=\"si\">%2d<\/span><span class=\"s1\">\u00b0'<\/span> <span class=\"o\">%<\/span> <span class=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9896\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-01.svg\" alt=\"\" width=\"600\" height=\"400\" \/><\/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[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><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>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[5]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>[6.0, 4.0]<\/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<p>\u78ba\u304b\u306b\uff0c\u6700\u521d\u306b <code>plt.rcParams[\"figure.figsize\"] = [6.4, 4.8]<\/code> \u3068\u3057\u305f\u306e\u306b\uff0c\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u305f\u5f8c\u306b\u78ba\u8a8d\u3059\u308b\u3068 <code>[6.0, 4.0]<\/code> \u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n<p>\u30c7\u30d5\u30a9\u30eb\u30c8\u306e figsize \u306e\u8a2d\u5b9a\u5909\u66f4\u306f\uff0c\u4e00\u5ea6\u4f55\u304b\u63cf\u3044\u3066\u304b\u3089\u306b\u3059\u308b\u3068\u3088\u3044\u3088\u3046\u3060\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\"># \u30c7\u30d5\u30a9\u30eb\u30c8\u306e figsize \u306e\u8a2d\u5b9a\u5909\u66f4\u306f\uff0c<\/span>\r\n<span class=\"c1\"># \u4e00\u5ea6\u4f55\u304b\u63cf\u3044\u3066\u304b\u3089\u306b\u3059\u308b\u3068\u3088\u3044\u3088\u3046\u3060\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<p>\u5ff5\u306e\u305f\u3081\uff0c\u3082\u3046\u4e00\u5ea6\u540c\u3058\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u305f\u5f8c\uff0c<code>figsize<\/code> \u3092\u78ba\u8a8d\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[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\"># \u6a2a\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u7e26\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s1\">'both'<\/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\">thdeg<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">45<\/span>\r\n<span class=\"n\">th<\/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=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># t \u306e\u7bc4\u56f2<\/span>\r\n<span class=\"n\">t<\/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\">Tf<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"n\">ax<\/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\">th<\/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\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'\u03b8 = <\/span><span class=\"si\">%2d<\/span><span class=\"s1\">\u00b0'<\/span> <span class=\"o\">%<\/span> <span class=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-9897\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-02.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><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>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[8]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>[6.4, 4.8]<\/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=\"\u25cb\u7df4\u7fd2\uff1a$\\theta$-\u3092\u5909\u3048\u3066\u659c\u65b9\u6295\u5c04\">\u25cb\u7df4\u7fd2\uff1a$\\theta$ \u3092\u5909\u3048\u3066\u659c\u65b9\u6295\u5c04<\/h4>\n<p>\u6253\u3061\u51fa\u3057\u89d2\u5ea6 $\\theta$ \u3092\u5909\u3048\u3066\uff0c\u3044\u304f\u3064\u304b\u8ecc\u9053\u3092\u63cf\u3051\u3002 \u4f8b\u3048\u3070\uff0c$\\theta = 20^{\\circ}, 45^{\\circ}, 85^{\\circ}$ \u306e\u5834\u5408\u3002<\/p>\n<p>\u305b\u3063\u304b\u304f Python \u306e for \u6587\u3067\u7e70\u308a\u8fd4\u3057\u3092\u899a\u3048\u305f\u306e\u3067\uff0c<\/p>\n<div class=\"highlight\">\n<pre><span class=\"n\">thdegs<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">20<\/span><span class=\"p\">,<\/span> <span class=\"mi\">45<\/span><span class=\"p\">,<\/span> <span class=\"mi\">85<\/span><span class=\"p\">]<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">thdeg<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">thdegs<\/span><span class=\"p\">:<\/span>\r\n<span class=\"o\">...<\/span>\r\n<\/pre>\n<\/div>\n<p>\u306a\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u63cf\u3044\u3066\u307f\u308b\u3053\u3068\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.7<\/span><span class=\"p\">])<\/span>\r\n<span class=\"c1\"># \u6a2a\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u7e26\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">thdegs<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">20<\/span><span class=\"p\">,<\/span> <span class=\"mi\">45<\/span><span class=\"p\">,<\/span> <span class=\"mi\">85<\/span><span class=\"p\">]<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">thdeg<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">thdegs<\/span><span class=\"p\">:<\/span>\r\n    <span class=\"n\">th<\/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=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># t \u306e\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">t<\/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\">Tf<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"n\">ax<\/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\">th<\/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\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'\u03b8 = <\/span><span class=\"si\">%2d<\/span><span class=\"s1\">\u00b0'<\/span><span class=\"o\">%<\/span> <span class=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-9898\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-03-1.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/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=\"\u25cb\u7df4\u7fd2\uff1a$\\theta$-\u3092\u5909\u3048\u305f\u8ecc\u9053\u306e\u540c\u6642\u523b\u3067\u306e\u4f4d\u7f6e\">\u25cb\u7df4\u7fd2\uff1a$\\theta$ \u3092\u5909\u3048\u305f\u8ecc\u9053\u306e\u540c\u6642\u523b\u3067\u306e\u4f4d\u7f6e<\/h4>\n<p>\u6253\u3061\u51fa\u3057\u89d2\u5ea6 $\\theta$ \u3092\u5909\u3048\u308b\u3068\u6ede\u7a7a\u6642\u9593 $T_f(\\theta)$ \u3082\u5909\u308f\u308b\u3057\uff0c\u305d\u308c\u305e\u308c\u306e\u8ecc\u9053\u4e0a\u3067\u306e\u4f4d\u7f6e\u3082\u7570\u306a\u308b\u3002<\/p>\n<p>\u4e00\u5b9a\u6642\u9593\u9593\u9694 $dt$ \u3054\u3068\u306e\uff0c\u6253\u3061\u51fa\u3057\u89d2\u5ea6 $\\theta$ \u3092\u5909\u3048\u305f\u8ecc\u9053\u4e0a\u3067\u306e\u4f4d\u7f6e\u3092\u793a\u3059\u30b0\u30e9\u30d5\u3092\u63cf\u3051\u3002<\/p>\n<p>\u4f8b\u3048\u3070\uff0c$dt$ \u3092 $\\theta = 45^{\\circ}$ \u306e\u969b\u306e\u6ede\u7a7a\u6642\u9593 $T_f(45^{\\circ})$ \u306e <code>1\/frames<\/code> \u3068\u3057\u3066\u307f\u308b\u3002<\/p>\n<p>$$dt = \\frac{T_f(45^{\\circ})}{\\tt frames}$$<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[10]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.7<\/span><span class=\"p\">])<\/span>\r\n<span class=\"c1\"># \u6a2a\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u7e26\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\r\n<span class=\"n\">dt<\/span> <span class=\"o\">=<\/span> <span class=\"n\">Tf<\/span><span class=\"p\">(<\/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><span class=\"o\">\/<\/span><span class=\"n\">frames<\/span>\r\n<span class=\"n\">thdegs<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">20<\/span><span class=\"p\">,<\/span> <span class=\"mi\">45<\/span><span class=\"p\">,<\/span> <span class=\"mi\">85<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">ths<\/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=\"n\">thdegs<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/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\">X<\/span> <span class=\"o\">=<\/span> <span class=\"n\">xp<\/span><span class=\"p\">(<\/span><span class=\"n\">dt<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">ths<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">Y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">dt<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">ths<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">scatter<\/span><span class=\"p\">(<\/span><span class=\"n\">X<\/span><span class=\"p\">,<\/span><span class=\"n\">Y<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">''<\/span><span class=\"p\">,<\/span> <span class=\"n\">zorder<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\u306e\u4e0a\u306b\u63cf\u304f<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-9899\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-04-1.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/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>\u4e0a\u306e\u30b0\u30e9\u30d5\u304b\u3089\uff0c$\\theta$ \u304c\u5927\u304d\u3044\u5834\u5408\u306f\u6ede\u7a7a\u6642\u9593\u304c\u9577\u304f\uff0c$\\theta$ \u304c\u5c0f\u3055\u3044\u5834\u5408\u306f\u6ede\u7a7a\u6642\u9593\u304c\u77ed\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u304b\u3057\u4e0a\u306e\u30b0\u30e9\u30d5\u3092\u3088\u304f\u898b\u308b\u3068\uff0c$\\theta = 20^{\\circ}$ \u306e\u5834\u5408\u306f\u5730\u9762\u306b\u3081\u308a\u8fbc\u3093\u3067\u3082\u306a\u304a\uff0c\u904b\u52d5\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002<\/p>\n<p>\u5730\u9762\u306b\u3081\u308a\u8fbc\u307e\u306a\u3044\u3088\u3046\u306b\uff0c$y$ \u5ea7\u6a19\u304c\u8ca0\u306e\u5834\u5408\u306e\u70b9\u306f\u30b0\u30e9\u30d5\u306b\u63cf\u304b\u306a\u3044\u3088\u3046\u306b\u3057\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u3092\u4f5c\u6210\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre>\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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-9900\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-04a-1.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/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\u4e38\u3064\u304d\uff09\">\u9014\u4e2d\u307e\u3067\u306e\u30b0\u30e9\u30d5\uff08\u767d\u629c\u4e38\u3064\u304d\uff09<\/h4>\n<p>$t$ \u306e\u7bc4\u56f2 $[0, T_f(\\theta)]$ \u3092 <code>frames<\/code> \u500b\u306b\u5206\u5272\u3057\uff0c<code>i<\/code> \u756a\u76ee\u306e\u6642\u523b<br \/>\n$$ t_i = T_f \\times \\frac{\\tt i}{\\tt frames}$$ \u307e\u3067\u306e\u8ecc\u9053\u3068\uff0c$t = t_i$ \u3067\u306e\u4f4d\u7f6e\u3092\u4e38\u3067\u8868\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[12]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/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\"># \u5168\u4f53\u3092 10 \u5206\u5272\u3057\uff0c2 \u756a\u76ee\u307e\u3067\u306e\u8ecc\u9053\u3092\u63cf\u304f<\/span>\r\n<span class=\"c1\"># frames: \u5206\u5272\u6570\uff0c\u30b3\u30de\u6570<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\r\n<span class=\"c1\"># i: \u4f55\u756a\u76ee\u306e\u30b3\u30de\u304b\u3092\u6307\u5b9a<\/span>\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\"># \u6a2a\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u7e26\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u03b8 = 45\u00b0 \u306e\u5834\u5408<\/span>\r\n<span class=\"n\">thdeg<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">45<\/span>\r\n<span class=\"n\">th<\/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=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># i \u756a\u76ee\u306e\u6642\u523b<\/span>\r\n<span class=\"n\">ti<\/span> <span class=\"o\">=<\/span> <span class=\"n\">Tf<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/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\"># t\u306e\u7bc4\u56f2<\/span>\r\n<span class=\"n\">t<\/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\">ti<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># ti \u307e\u3067\u66f2\u7dda\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">ax<\/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\">th<\/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\">th<\/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\"># ti \u306e\u3068\u3053\u308d\u306b\u25cb\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-9902\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-05.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/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 $[0, T_f(\\theta)]$ \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<p>\u4e0a\u306e <code>i<\/code> \u3092 <code>0<\/code> \u304b\u3089 <code>frames<\/code> \u306e\u5024\u307e\u3067\u5897\u3084\u3057\u3066\u3044\u3051\u3070\uff0c\u305d\u308c\u305e\u308c\u306e\u6642\u523b\u307e\u3067\u306e\u8ecc\u9053\u306e\u30b0\u30e9\u30d5\u304c\u51fa\u6765\u4e0a\u304c\u308b\u304b\u3089\uff0c\u305d\u308c\u3092\u30d1\u30e9\u30d1\u30e9\u30a2\u30cb\u30e1\u306b\u3059\u308c\u3070\u3088\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[13]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># i \u3067\u6c7a\u307e\u308b ti \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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/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    <span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\"># \u6a2a\u8ef8\u76ee\u76db<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"c1\"># \u7e26\u8ef8\u76ee\u76db<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">thdeg<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">45<\/span>\r\n    <span class=\"n\">th<\/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=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># i \u756a\u76ee\u306e\u6642\u523b<\/span>\r\n    <span class=\"n\">ti<\/span> <span class=\"o\">=<\/span> <span class=\"n\">Tf<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/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\"># t\u306e\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">t<\/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\">ti<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># ti \u307e\u3067\u66f2\u7dda\u3092\u63cf\u304f<\/span>\r\n    <span class=\"n\">ax<\/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\">th<\/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\">th<\/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\"># ti \u306e\u3068\u3053\u308d\u306b\u25cb\u3092\u63cf\u304f<\/span>\r\n    <span class=\"n\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/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\">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\">500<\/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=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6 dpi \u3092\u8a2d\u5b9a<\/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> <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\"># \u5ff5\u306e\u305f\u3081\uff0cgif \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u3082\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.gif\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">144<\/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<div style=\"width: 750px;\" class=\"wp-video\"><!--[if lt IE 9]><script>document.createElement('video');<\/script><![endif]-->\n<video class=\"wp-video-shortcode\" id=\"video-9895-1\" width=\"750\" height=\"563\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim01-2.mp4?_=1\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim01-2.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim01-2.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<p>$t$ \u306e\u7bc4\u56f2 $[0, T_f(\\theta)]$ \u3092 <code>frames<\/code> \u500b\u306b\u5206\u5272\u3057\uff0c<code>i<\/code> \u756a\u76ee\u306e\u6642\u523b<br \/>\n$\\displaystyle t_i = T_f \\times \\frac{\\tt i}{\\tt frames}$ \u307e\u3067\u306e\u8ecc\u9053\u3068\uff0c$t = t_i$ \u306e\u4f4d\u7f6e\u3092\u4e38\u3067\u8868\u3057\uff0c\u305d\u306e\u6642\u523b\u306b\u304a\u3051\u308b\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\uff08\u5168\u4f53\u3068\uff0c$x$ \u6210\u5206\uff0c$y$ \u6210\u5206\uff09\u3092\u63cf\u304f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[14]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\"># \u6a2a\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u7e26\u8ef8\u76ee\u76db<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s1\">'both'<\/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\"># \u5168\u4f53\u3092 10 \u5206\u5272\u3057\uff0c2 \u756a\u76ee\u307e\u3067\u306e\u8ecc\u9053\u3092\u63cf\u304f<\/span>\r\n<span class=\"c1\"># frames: \u5206\u5272\u6570\uff0c\u30b3\u30de\u6570<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\r\n<span class=\"c1\"># i: \u4f55\u756a\u76ee\u306e\u30b3\u30de\u304b\u3092\u6307\u5b9a<\/span>\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>\r\n\r\n<span class=\"c1\"># \u03b8 = 45\u00b0 \u306e\u5834\u5408<\/span>\r\n<span class=\"n\">thdeg<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">45<\/span>\r\n<span class=\"n\">th<\/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=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># i \u756a\u76ee\u306e\u6642\u523b<\/span>\r\n<span class=\"n\">ti<\/span> <span class=\"o\">=<\/span> <span class=\"n\">Tf<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/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\"># t\u306e\u7bc4\u56f2<\/span>\r\n<span class=\"n\">t<\/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\">ti<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># ti \u307e\u3067\u66f2\u7dda\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">ax<\/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\">th<\/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\">th<\/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\"># ti \u306e\u3068\u3053\u308d\u306b\u25cb\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/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\"># \u4ee5\u4e0b\u3092\u65b0\u305f\u306b\u8ffd\u52a0<\/span>\r\n<span class=\"c1\"># vx<\/span>\r\n<span class=\"n\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> \r\n          <span class=\"n\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span>          \r\n          <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\">'green'<\/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\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> \r\n          <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\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> \r\n          <span class=\"n\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">vy<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> \r\n          <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\">'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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-9904\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-06.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/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[15]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># i \u3067\u6c7a\u307e\u308b tend \u307e\u3067\u306e\u30d9\u30af\u30c8\u30eb\u3068\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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/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    <span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\"># \u6a2a\u8ef8\u76ee\u76db<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">xaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"c1\"># \u7e26\u8ef8\u76ee\u76db<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">yaxis<\/span><span class=\"o\">.<\/span><span class=\"n\">set_major_locator<\/span><span class=\"p\">(<\/span><span class=\"n\">MultipleLocator<\/span><span class=\"p\">(<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"n\">which<\/span><span class=\"o\">=<\/span><span class=\"s1\">'both'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">thdeg<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">45<\/span>\r\n    <span class=\"n\">th<\/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=\"n\">thdeg<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># i \u756a\u76ee\u306e\u6642\u523b<\/span>\r\n    <span class=\"n\">ti<\/span> <span class=\"o\">=<\/span> <span class=\"n\">Tf<\/span><span class=\"p\">(<\/span><span class=\"n\">th<\/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\"># t\u306e\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">t<\/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\">ti<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># ti \u307e\u3067\u66f2\u7dda\u3092\u63cf\u304f<\/span>\r\n    <span class=\"n\">ax<\/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\">th<\/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\">th<\/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\"># ti \u306e\u3068\u3053\u308d\u306b\u25cb\u3092\u63cf\u304f<\/span>\r\n    <span class=\"n\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/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\"># \u4ee5\u4e0b\u3092\u65b0\u305f\u306b\u8ffd\u52a0<\/span>\r\n    <span class=\"c1\"># vx<\/span>\r\n    <span class=\"n\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> \r\n              <span class=\"n\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span>          \r\n              <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\">'green'<\/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\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> \r\n              <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\">ax<\/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\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">yp<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> \r\n              <span class=\"n\">vx<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> <span class=\"n\">vy<\/span><span class=\"p\">(<\/span><span class=\"n\">ti<\/span><span class=\"p\">,<\/span> <span class=\"n\">th<\/span><span class=\"p\">),<\/span> \r\n              <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\">'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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/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\">500<\/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=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6 dpi \u3092\u8a2d\u5b9a<\/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> <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\"># \u5ff5\u306e\u305f\u3081\uff0cgif \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u3082\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.gif\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">144<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-9895-2\" width=\"750\" height=\"563\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim02-2.mp4?_=2\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim02-2.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim02-2.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[16]:<\/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[17]:<\/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\u306b\u306f...<\/span>\r\n<span class=\"c1\"># !cat input.txt<\/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[18]:<\/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=\"o\">!<\/span>rm input.txt\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>\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[19]:<\/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 gif \u306b\u5909\u63db<\/span>\r\n<span class=\"o\">!<\/span>rm -f outfile12.gif\r\n<span class=\"o\">!<\/span>ffmpeg -hide_banner -loglevel error -i outfile12.mp4 -vf <span class=\"nv\">scale<\/span><span class=\"o\">=<\/span><span class=\"m\">720<\/span>:-1 outfile12.gif\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e outfile12.gif \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-9895-3\" width=\"750\" height=\"563\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/outfile12-1.mp4?_=3\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/outfile12-1.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/outfile12-1.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=\"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[20]:<\/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\">xen<\/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\">yen<\/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[21]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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=\"c1\"># <\/span>\r\n<span class=\"n\">i<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">6<\/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<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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/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\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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 \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-9906\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-07.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/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\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/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    <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    <span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/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\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6 dpi \u3092\u8a2d\u5b9a<\/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> <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\"># \u5ff5\u306e\u305f\u3081\uff0cgif \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u3082\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.gif\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">144<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-9895-4\" width=\"750\" height=\"750\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim03-2.mp4?_=4\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim03-2.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim03-2.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[23]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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\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<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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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-9910\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-08.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[24]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/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    <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    <span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6 dpi \u3092\u8a2d\u5b9a<\/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> <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\"># \u5ff5\u306e\u305f\u3081\uff0cgif \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u3082\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.gif\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">144<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-9895-5\" width=\"750\" height=\"750\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim04-2.mp4?_=5\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim04-2.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim04-2.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[25]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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\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<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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> \r\n        <span class=\"n\">c<\/span> <span class=\"o\">=<\/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\">ax<\/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\">xen<\/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\">yen<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> \r\n        <span class=\"n\">c<\/span> <span class=\"o\">=<\/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\">ax<\/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\">xen<\/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\">yen<\/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> \r\n        <span class=\"n\">c<\/span> <span class=\"o\">=<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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-9912\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-09.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[26]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/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    <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    <span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> \r\n            <span class=\"n\">c<\/span> <span class=\"o\">=<\/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\">ax<\/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\">xen<\/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\">yen<\/span><span class=\"p\">(<\/span><span class=\"n\">omegat<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))],<\/span> \r\n            <span class=\"n\">c<\/span> <span class=\"o\">=<\/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\">ax<\/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\">xen<\/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\">yen<\/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> \r\n            <span class=\"n\">c<\/span> <span class=\"o\">=<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6 dpi \u3092\u8a2d\u5b9a<\/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> <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\"># \u5ff5\u306e\u305f\u3081\uff0cgif \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u3082\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.gif\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">144<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-9895-6\" width=\"750\" height=\"750\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim05-1.mp4?_=6\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim05-1.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim05-1.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[27]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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\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<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<span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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>\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\">xen<\/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\">yen<\/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\">ax<\/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> <span class=\"n\">ec<\/span> <span class=\"o\">=<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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-9914\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/aniax-10.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[28]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># ax \u3092\u4f7f\u3046\u969b\u306e\u6700\u521d\u306e\u304a\u307e\u3058\u306a\u3044<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/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    <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    <span class=\"c1\"># \u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/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> <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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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>\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\">xen<\/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\">yen<\/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\">ax<\/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> <span class=\"n\">ec<\/span> <span class=\"o\">=<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">xen<\/span><span class=\"p\">(<\/span><span class=\"n\">omt<\/span><span class=\"p\">),<\/span> <span class=\"n\">yen<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"s1\">'k'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/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=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6 dpi \u3092\u8a2d\u5b9a<\/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> <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\"># \u5ff5\u306e\u305f\u3081\uff0cgif \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u3082\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.gif\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">144<\/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<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-9895-7\" width=\"750\" height=\"750\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim06-1.mp4?_=7\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim06-1.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/anim06-1.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[29]:<\/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[30]:<\/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=\"c1\"># !cat input.txt<\/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[31]:<\/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=\"o\">!<\/span>rm input.txt\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>\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[32]:<\/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 gif \u306b\u5909\u63db<\/span>\r\n<span class=\"o\">!<\/span>rm -f outfile346.gif\r\n<span class=\"o\">!<\/span>ffmpeg -hide_banner -loglevel error -i outfile346.mp4 -vf <span class=\"nv\">scale<\/span><span class=\"o\">=<\/span><span class=\"m\">720<\/span>:-1 outfile346.gif\r\n\r\n<span class=\"c1\"># jupyterhub \u306e\u30db\u30fc\u30e0\u306e outfile346.gif \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-9895-8\" width=\"750\" height=\"750\" loop autoplay 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<h4 id=\"\u6700\u7d42\u76ee\u6a19\u305d\u306e1\uff1a\u30b1\u30d7\u30e9\u30fc\u8ecc\u9053\">\u6700\u7d42\u76ee\u6a19\u305d\u306e1\uff1a\u30b1\u30d7\u30e9\u30fc\u8ecc\u9053<\/h4>\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: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-9895-9\" width=\"750\" height=\"563\" loop autoplay 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<h4 id=\"\u6700\u7d42\u76ee\u6a19\u305d\u306e2\uff1a\u8fd1\u65e5\u70b9\u79fb\u52d5\">\u6700\u7d42\u76ee\u6a19\u305d\u306e2\uff1a\u8fd1\u65e5\u70b9\u79fb\u52d5<\/h4>\n<p>\u3055\u3089\u306b\u306f\uff0c\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u52b9\u679c\u306b\u3088\u3063\u3066\u8fd1\u65e5\u70b9\u79fb\u52d5\u304c\u8d77\u3053\u308b\u3053\u3068\u3092\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u52d5\u753b\u3067\u793a\u3057\u305f\u3044\u306a\u3041\u3002<\/p>\n<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-9895-10\" width=\"750\" height=\"750\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Idou.mp4?_=10\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Idou.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Idou.mp4<\/a><\/video><\/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=\"\u53c2\u8003\uff1a\u4f5c\u6210\u3057\u305f\u52d5\u753b\u30d5\u30a1\u30a4\u30eb\u306e\u6d88\u53bb\">\u53c2\u8003\uff1a\u4f5c\u6210\u3057\u305f\u52d5\u753b\u30d5\u30a1\u30a4\u30eb\u306e\u6d88\u53bb<\/h3>\n<p>\u4ee5\u4e0a\u306e\u30b3\u30fc\u30c9\u3092\u5b9f\u884c\u3059\u308b\u3068\uff0c\u3044\u304f\u3064\u304b\u306e mp4 \u30d5\u30a1\u30a4\u30eb\u3084\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3 gif \u30d5\u30a1\u30a4\u30eb\u304c\u3067\u304d\u307e\u3059\u304c\uff0c\u3053\u308c\u3092\u4e00\u62ec\u3057\u3066\u6d88\u53bb\u3059\u308b\u306b\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b3\u30de\u30f3\u30c9\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/p>\n<div class=\"highlight\">\n<pre>rm -f *.mp4 *.gif\r\n<\/pre>\n<\/div>\n<p>\u4ee5\u4e0b\u306e\u30bb\u30eb\u3067 2 \u884c\u76ee\u306e\u5148\u982d\u306e <code>#<\/code> \u3092\u6d88\u53bb\u3057\u3066\u5b9f\u884c\u3057\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[33]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u4f5c\u6210\u3057\u305f mp4 \u30d5\u30a1\u30a4\u30eb\u3084 gif \u30d5\u30a1\u30a4\u30eb\u3092\u6d88\u53bb\u3059\u308b\u306b\u306f<\/span>\r\n<span class=\"c1\"># !rm -f *.mp4 *.gif<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u300cMatplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aax \u7de8\u300d\u3067\u89e3\u8aac\u3057\u305f\u65b9\u6cd5\uff0c\u3064\u307e\u308a ax.*** \u306e\u307f\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>\n<p>\u300cMatplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aplt \u7de8\u300d\u3067\u89e3\u8aac\u3057\u305f\u65b9\u6cd5\uff0c\u3064\u307e\u308a plt.*** \u306e\u307f\u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\u4f7f\u3063\u3066\u30a2\u30cb\u30e1\u5316\u3059\u308b\u65b9\u6cd5\u306f\uff0c\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u306b\u307e\u3068\u3081\u3066\u3044\u307e\u3059\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%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90\/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%9aax-%e7%b7%a8\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>Matplotlib \u3067\u4f5c\u6210\u3057\u305f\u30b0\u30e9\u30d5\u3092\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306b\uff1aplt \u7de8<\/li>\n<\/ul>\n","protected":false},"author":33,"featured_media":0,"parent":9699,"menu_order":30,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-9895","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\/9895","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=9895"}],"version-history":[{"count":10,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/9895\/revisions"}],"predecessor-version":[{"id":9970,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/9895\/revisions\/9970"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/9699"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=9895"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}