{"id":6816,"date":"2024-11-24T20:00:14","date_gmt":"2024-11-24T11:00:14","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=6816"},"modified":"2024-11-25T15:57:20","modified_gmt":"2024-11-25T06:57:20","slug":"matplotlib-%e3%81%a7%e3%82%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/python-%e3%81%a7%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/matplotlib-%e3%81%a7%e3%82%b0%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90\/","title":{"rendered":"Matplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aplt \u7de8"},"content":{"rendered":"<p>Python \u306e Matplotlib \u306b\u3088\u308b\u30b0\u30e9\u30d5\u4f5c\u6210\u306b\u306f\uff0c<code>plt.***<\/code> \u3068\u3044\u3046\u95a2\u6570\u3092\u4f7f\u3063\u305f <span style=\"font-family: helvetica, arial, sans-serif;\"><strong>plt (pyplot) \u6d41<\/strong><\/span>\uff08pyplot \u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u3068\u3082\uff09\u3068\uff0c<code>ax.***<\/code> \u3068\u3044\u3046\u95a2\u6570\u3092\u4f7f\u3063\u305f <span style=\"font-family: helvetica, arial, sans-serif;\"><strong>ax \u6d41<\/strong><\/span>\uff08\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u6307\u5411\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u3068\u3082\uff09\u306e2\u3064\u306e\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u306f\uff0c<code>plt.***<\/code> \u306e\u307f\u3092\u4f7f\u3063\u3066\u30b0\u30e9\u30d5\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u3066\u304a\u304d\u307e\u3059\u3002<\/p>\n<p><span style=\"font-family: helvetica, arial, sans-serif;\"><strong>ax \u6d41<\/strong><\/span>\u3067 <code>ax.***<\/code> \u306e\u307f\u3092\u4f7f\u3063\u3066\u30b0\u30e9\u30d5\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\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%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\/\" target=\"_blank\" rel=\"noopener\">Matplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aax \u7de8<\/a><br \/>\n<!--more--><\/li>\n<\/ul>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u30e9\u30a4\u30d6\u30e9\u30ea\u306e-import\">\u30e9\u30a4\u30d6\u30e9\u30ea\u306e import<\/h3>\n<p>\u5fc5\u8981\u306a\u30e9\u30a4\u30d6\u30e9\u30ea\u3092 import \u3057\u307e\u3059\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\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<\/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=\"plt.plot()-\u306e\u57fa\u672c\u5f62\"><code>plt.plot()<\/code> \u306e\u57fa\u672c\u5f62<\/h3>\n<p>Matplotlib \u306e <code>plt.plot()<\/code> \u3067\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u969b\u306e\u57fa\u672c\u5f62\u306f\uff0c\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n<p>\u70b9 <code>(x0, y0)<\/code>, <code>(x1, y1)<\/code>, &#8230; <code>(xn, yn)<\/code> \u3092\u7d50\u3093\u3067\u6298\u308c\u7dda\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u306b\u306f\uff0c<\/p>\n<ul>\n<li>$x$ \u5ea7\u6a19\u3060\u3051\u306e\u30ea\u30b9\u30c8 <code>[x0, x1, ..., xn]<\/code>\uff0c<\/li>\n<li>$y$ \u5ea7\u6a19\u3060\u3051\u306e\u30ea\u30b9\u30c8 <code>[y0, y1, ..., yn]<\/code> \u3092\u3064\u304f\u308a\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b&#8230;\n<div class=\"highlight\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"n\">x0<\/span><span class=\"p\">,<\/span> <span class=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"o\">...<\/span><span class=\"p\">,<\/span> <span class=\"n\">xn<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"n\">y0<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">,<\/span> <span class=\"o\">...<\/span><span class=\"p\">,<\/span> <span class=\"n\">yn<\/span><span class=\"p\">]);<\/span>\r\n<\/pre>\n<\/div>\n<\/li>\n<\/ul>\n<p>\u967d\u95a2\u6570 $y = f(x)$ \u3084\u5a92\u4ecb\u5909\u6570\u8868\u793a $x(t), y(t)$ \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u5834\u5408\u3082\uff0c\u63cf\u753b\u7bc4\u56f2\u306e $x$ \u306e\u30ea\u30b9\u30c8\u3084 $t$ \u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u3063\u3066\uff0c\u4e0a\u8a18\u306e\u30d1\u30bf\u30fc\u30f3\u306b\u3059\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u7b49\u9593\u9694\u306e\u6570\u5024\u914d\u5217\u306e\u4f5c\u6210\u6cd5\">\u7b49\u9593\u9694\u306e\u6570\u5024\u914d\u5217\u306e\u4f5c\u6210\u6cd5<\/h3>\n<p>\u63cf\u753b\u7bc4\u56f2\u3092\u7d30\u304b\u304f\u5206\u3051\u308c\u3070\uff0c\u6ed1\u3089\u304b\u306a\u66f2\u7dda\u306b\u898b\u3048\u3066\u304d\u307e\u3059\u3002\u3057\u304b\u3057\uff0c\u5ea7\u6a19\u5024\u306e\u30ea\u30b9\u30c8\u3092 <code>[0, 0.1, 0.2, ...]<\/code> \u306a\u3069\u3068\u624b\u3067\u4e00\u3064\u4e00\u3064\u5165\u529b\u3059\u308b\u306e\u306f\u5927\u5909\u306a\u306e\u3067\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7b49\u9593\u9694\u306e\u6570\u5024\u914d\u5217\u3092\u4f5c\u6210\u3059\u308b\u95a2\u6570\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n<h4 id=\"np.arange()-\u306f\u9593\u9694\u3092\u6307\u5b9a\"><code>np.arange()<\/code> \u306f\u9593\u9694\u3092\u6307\u5b9a<\/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[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># 0\u4ee5\u4e0a5\u672a\u6e80\uff0c\u9593\u96941\u3054\u3068\u306e\u6570\u5024\u8981\u7d20\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>[0 1 2 3 4]\r\n[ 0  1  4  9 16]\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=\"np.linspace()-\u306f\u8981\u7d20\u6570\u3092\u6307\u5b9a\"><code>np.linspace()<\/code> \u306f\u8981\u7d20\u6570\u3092\u6307\u5b9a<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># 0\u304b\u30892\u307e\u3067\u30924\u7b49\u5206\u3057\uff0c\u7aef\u70b9\u3092\u542b\u3081\u30665\u500b\u306e\u6570\u5024\u8981\u7d20\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># NumPy \u306e\u95a2\u6570\u3092\u4f7f\u3046<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>[0.  0.5 1.  1.5 2. ]\r\n[0.         0.47942554 0.84147098 0.99749499 0.90929743]\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=\"\u967d\u95a2\u6570\u306e\u30b0\u30e9\u30d5\">\u967d\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/h3>\n<p>\u4f8b\u3068\u3057\u3066\uff0c$y = \\sin x$ \u306e\u30af\u3099\u30e9\u30d5\u3092 $-2\\pi \\leq x \\leq 2\\pi$ \u306e\u7bc4\u56f2\u3066\u3099\u63cf\u304d\u307e\u3059\u3002\u4e09\u89d2\u95a2\u6570\u3092\u542b\u3080\u5168\u3066\u306e\u95a2\u6570\u306f\uff0cNumPy \u306e\u95a2\u6570\u3092\u4f7f\u3044\u307e\u3059\u3002\u57fa\u672c\u7684\u306a\u5b9a\u6570\u306e\u4e00\u3064\u3066\u3099\u3042\u308b\u5186\u5468\u7387 $\\pi$ \u306f NumPy \u306e <code>np.pi<\/code> \u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\u306f\uff0c$x$ \u306e\u7bc4\u56f2 $-2\\pi \\leq x \\leq 2\\pi$ \u3092 10 \u7b49\u5206\u3057\uff0c\u7aef\u70b9\u3082\u542b\u3081\u3066 11 \u500b\u306e\u8981\u7d20\u306e\u30ea\u30b9\u30c8 <code>x<\/code> \u3092\u4f5c\u6210\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[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># x \u5ea7\u6a19\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/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=\"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=\"mi\">11<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>[-6.28318531 -5.02654825 -3.76991118 -2.51327412 -1.25663706  0.\r\n  1.25663706  2.51327412  3.76991118  5.02654825  6.28318531]\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>\u6b21\u306b\uff0c\u3053\u306e\u30ea\u30b9\u30c8 <code>x<\/code> \u3092 NumPy \u306e\u95a2\u6570 <code>np.sin(x)<\/code> \u306b\u5165\u308c\u308b\u3068\uff0c<code>x<\/code> \u306e\u5404\u8981\u7d20 $x_i$ \u306b\u3064\u3044\u3066\u306e $\\sin x_i$ \u306e\u5024\u3092\u8981\u7d20\u306b\u3057\u305f\u30ea\u30b9\u30c8\u304c\u51fa\u6765\u4e0a\u304c\u308a\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[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># y \u5ea7\u6a19\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">y<\/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\">x<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>[ 2.44929360e-16  9.51056516e-01  5.87785252e-01 -5.87785252e-01\r\n -9.51056516e-01  0.00000000e+00  9.51056516e-01  5.87785252e-01\r\n -5.87785252e-01 -9.51056516e-01 -2.44929360e-16]\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># x \u5ea7\u6a19\uff0cy \u5ea7\u6a19\u3092\u5165\u308c\u3066 plt.plot()<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/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-6981\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Matplot01.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>$x$ \u306e\u7bc4\u56f2\u3092\u3082\u3063\u3068\u7d30\u304b\u304f\u5206\u5272\u3057\u3066\uff0c\u6ed1\u3089\u304b\u306a\u66f2\u7dda\u306b\u898b\u3048\u308b\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[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># x \u5ea7\u6a19\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/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=\"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=\"mi\">101<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># 100 \u7b49\u5206<\/span>\r\n<span class=\"c1\"># y \u5ea7\u6a19\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">y<\/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\">x<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/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-6982\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Matplot01a.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3044\u304f\u3064\u304b\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u8a2d\u5b9a\u3059\u308b\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span><span class=\"p\">,<\/span> \r\n         <span class=\"c1\"># \u51e1\u4f8b<\/span>\r\n         <span class=\"n\">label<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"\u6b63\u5f26\u95a2\u6570\"<\/span><span class=\"p\">,<\/span> \r\n         <span class=\"c1\"># \u7dda\u306e\u592a\u3055\u3068\u8272<\/span>\r\n         <span class=\"n\">linewidth<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"red\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306e\u8868\u793a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n<span class=\"c1\"># \u51e1\u4f8b\u306e\u8868\u793a<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6983\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Matplot02.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u9670\u95a2\u6570\u306e\u30b0\u30e9\u30d5\">\u9670\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/h3>\n<p>\u4f8b\u3068\u3057\u3066\uff0c$x^2 + y^2 = 1$ \u306e\u30af\u3099\u30e9\u30d5\u3092\u63cf\u304d\u307e\u3059\u3002$y$ \u306b\u3064\u3044\u3066\u89e3\u3044\u3066\u967d\u95a2\u6570\u306e\u5f62\u306b\u3057\u305f\u308a\uff0c\u4ee5\u4e0b\u3067\u8ff0\u3079\u308b\u3088\u3046\u306a\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306b\u3057\u306a\u304f\u3066\u3082\uff0c\u9670\u95a2\u6570\u306e\u307e\u307e\uff0c\u30b0\u30e9\u30d5\u306b\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>$z \\equiv x^2 + y^2$ \u3068\u3057\u3066\uff0c$z = 1$ \u306e\u7b49\u9ad8\u7dda\u3092\u30d7\u30ed\u30c3\u30c8\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[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">delta<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.02<\/span>\r\n<span class=\"n\">xrange<\/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=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">delta<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">yrange<\/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=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">delta<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">meshgrid<\/span><span class=\"p\">(<\/span><span class=\"n\">xrange<\/span><span class=\"p\">,<\/span> <span class=\"n\">yrange<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">z<\/span> <span class=\"o\">=<\/span> <span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"n\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span>\r\n<span class=\"c1\"># z = 1 \u306e\u7b49\u9ad8\u7dda\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">contour<\/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\">z<\/span><span class=\"p\">,<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/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-6984\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Matplot03.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u7e26\u6a2a\u6bd4\u30fb\u30b5\u30a4\u30ba\u306e\u8a2d\u5b9a\">\u7e26\u6a2a\u6bd4\u30fb\u30b5\u30a4\u30ba\u306e\u8a2d\u5b9a<\/h4>\n<p>\u7e26\u6a2a\u306e\u6bd4\u3092\u8a2d\u5b9a\u3057\u3066\u5186\u3089\u3057\u304f\u898b\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002\u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba <code>figsize<\/code> \u3082\u8a2d\u5b9a\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[10]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba\u306e\u8a2d\u5b9a\uff1a\u7e26\u6a2a\u3092\u540c\u3058\u9577\u3055\u306b<\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066\u5186\u304c\u5186\u3089\u3057\u304f\u898b\u3048\u308b\u3088\u3046\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u306e\u8a2d\u5b9a [xmin, xmax, ymin, ymax]<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"n\">delta<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.02<\/span>\r\n<span class=\"n\">xrange<\/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=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">delta<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">yrange<\/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=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">delta<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">meshgrid<\/span><span class=\"p\">(<\/span><span class=\"n\">xrange<\/span><span class=\"p\">,<\/span> <span class=\"n\">yrange<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">z<\/span> <span class=\"o\">=<\/span> <span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"n\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span>\r\n<span class=\"c1\"># z = 1 \u306e\u7b49\u9ad8\u7dda\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">contour<\/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\">z<\/span><span class=\"p\">,<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">])<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306e\u8868\u793a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">();<\/span>\r\n<\/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-6985\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Matplot04.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306e\u30b0\u30e9\u30d5\">\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306e\u30b0\u30e9\u30d5<\/h3>\n<p>\u534a\u5f84 $1$ \u306e\u5186\u306e\u65b9\u7a0b\u5f0f\u306f $x^2 +y^2 = 1$ \u3066\u3099\u3059\u3002\u3053\u306e\u5186\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306b\u3057\u3066\u63cf\u304d\u307e\u3059\u3002<\/p>\n<p>$$ x=\\cos t, \\quad y=\\sin t \\quad (0 \\leq t \\leq 2\\pi) $$<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066\u5186\u304c\u5186\u3089\u3057\u304f\u898b\u3048\u308b\u3088\u3046\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"c1\"># \u5a92\u4ecb\u5909\u6570 t \u306e\u6570\u5024\u914d\u5217\u3092\u4f5c\u6210<\/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=\"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=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">),<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8\u306e\u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># y \u8ef8\u306e\u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">yticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306e\u8868\u793a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">();<\/span>\r\n<\/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-6986\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Matplot05.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u70b9\u30fb\u6570\u5024\u30c6\u3099\u30fc\u30bf\u306e\u30af\u3099\u30e9\u30d5\">\u70b9\u30fb\u6570\u5024\u30c6\u3099\u30fc\u30bf\u306e\u30af\u3099\u30e9\u30d5<\/h3>\n<p>\u4ee5\u4e0b\u306e\u4f8b\u3067\u306f\uff0c\u914d\u5217 <code>X<\/code> \u306b \u5ea7\u6a19\u306e\u5024\uff0c\u914d\u5217 <code>Y<\/code> \u306b \u5ea7\u6a19\u306e\u5024\u3092\u5165\u308c\u3066\uff0c6\u500b\u306e\u70b9\u3092\u3064\u306a\u3044\u305f\u3099\u6298\u308c\u7dda\u30af\u3099\u30e9\u30d5\u3092\u63cf\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[12]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">X<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">Y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">X<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">X<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/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-6822\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot06.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u5404\u70b9\u3092\u7dda\u3067\u3064\u306a\u304c\u305a\u306b\u8d64\u8272\u3067\u30d7\u30ed\u30c3\u30c8\u3059\u308b\u4f8b\u3002\u70b9\u306e\u7a2e\u985e\u3092\u8d64\u3044<code>r<\/code> \u5186 <code>o<\/code> \u306b\u8a2d\u5b9a\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[13]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">X<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">Y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">X<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">X<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"ro\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"\u30c7\u30fc\u30bf\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n<span class=\"c1\"># \u51e1\u4f8b\u306e\u8868\u793a<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6823\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot07.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p><code>plt.scatter()<\/code> \u3067\u3082\uff0c\u5404\u70b9\u3092\u7dda\u3067\u3064\u306a\u304c\u305a\u306b\u30d7\u30ed\u30c3\u30c8\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[14]:<\/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\">scatter<\/span><span class=\"p\">(<\/span><span class=\"n\">X<\/span><span class=\"p\">,<\/span> <span class=\"n\">Y<\/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-6987\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Matplot07a.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f\">\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f<\/h3>\n<p>\u539f\u70b9\u3092\u59cb\u70b9\u3068\u3057\uff0c\u6210\u5206\u304c $v_x = 0.5, v_y = 1$ \u306e\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[15]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u59cb\u70b9\u306e x \u5ea7\u6a19<\/span>\r\n<span class=\"n\">X<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n<span class=\"c1\"># \u59cb\u70b9\u306e y \u5ea7\u6a19<\/span>\r\n<span class=\"n\">Y<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n<span class=\"c1\"># \u30d9\u30af\u30c8\u30eb\u306e x \u6210\u5206<\/span>\r\n<span class=\"n\">Vx<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">]<\/span>\r\n<span class=\"c1\"># \u30d9\u30af\u30c8\u30eb\u306e y \u6210\u5206<\/span>\r\n<span class=\"n\">Vy<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span>\r\n\r\n<span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066\u5186\u304c\u5186\u3089\u3057\u304f\u898b\u3048\u308b\u3088\u3046\u306b<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/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\">Vx<\/span><span class=\"p\">,<\/span> <span class=\"n\">Vy<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span>\r\n          <span class=\"c1\"># \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\">1<\/span>\r\n          <span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8\u306e\u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">9<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># y \u8ef8\u306e\u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">yticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">9<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/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-6824\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot08.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u8907\u6570\u306e\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u304f\u4f8b\u3002\u659c\u65b9\u6295\u5c04\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3092\u63cf\u3044\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[16]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><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=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">X<\/span> <span class=\"o\">=<\/span> <span class=\"n\">t<\/span>\r\n<span class=\"n\">Y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">t<\/span> <span class=\"o\">-<\/span> <span class=\"mf\">0.25<\/span><span class=\"o\">*<\/span><span class=\"n\">t<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> \r\n<span class=\"n\">Vx<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/span> <span class=\"o\">+<\/span> <span class=\"n\">t<\/span><span class=\"o\">*<\/span><span class=\"mi\">0<\/span>\r\n<span class=\"n\">Vy<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.5<\/span> <span class=\"o\">-<\/span> <span class=\"mf\">0.25<\/span><span class=\"o\">*<\/span><span class=\"n\">t<\/span>\r\n\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">X<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">Y<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">Vx<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">Vy<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>[0. 1. 2. 3. 4.]\r\n[0.   0.75 1.   0.75 0.  ]\r\n[0.5 0.5 0.5 0.5 0.5]\r\n[ 0.5   0.25  0.   -0.25 -0.5 ]\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\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.5<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">quiver<\/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\">Vx<\/span><span class=\"p\">,<\/span> <span class=\"n\">Vy<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">,<\/span>\r\n          <span class=\"c1\"># \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\">1<\/span>\r\n          <span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/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-6825\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot09.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u8907\u6570\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u8868\u793a\">\u8907\u6570\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u8868\u793a<\/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<p>\u8907\u6570\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u8868\u793a\u3059\u308b\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>$y = x^2 &#8211; 1$ \u3068 $y = 4 x &#8211; 5$ \u306e 2 \u3064\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u63cf\u304d\u307e\u3059\u3002<\/p>\n<p>$x$ \u306e\u7bc4\u56f2\u306f $-5 \\leq x \\leq 5$ \u3066\u3099\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[18]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">101<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">y1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"n\">y2<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">4<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">5<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y2<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/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-6826\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot10.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u305d\u308c\u305e\u308c\u306e\u66f2\u7dda\u3054\u3068\u306b\uff0c\u3044\u304f\u3064\u304b\u30aa\u30d5\u309a\u30b7\u30e7\u30f3\u3092\u8a2d\u5b9a\u3057\u3066\u63cf\u304f\u4f8b\u3066\u3099\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[19]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">101<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">y1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"n\">y2<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">4<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">5<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"$x^2-1$\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y2<\/span><span class=\"p\">,<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"black\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"$4x-5$\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6827\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot11.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u6570\u5024\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u3080\">\u6570\u5024\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u3080<\/h3>\n<p>\u3042\u3089\u304b\u3057\u3099\u3081\u4f5c\u6210\u3055\u308c\u305f\u6570\u5024\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u3093\u3066\u3099\u30af\u3099\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u3082\u3066\u3099\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\uff0c\u6570\u5024\u30c7\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb <code>data.txt<\/code> \u3092\u3042\u3089\u304b\u3057\u3099\u3081\u4f5c\u6210\u3057\u3066\u304a\u304d\u307e\u3059\u3002\u6570\u5024\u30c7\u30fc\u30bf\u306e\u66f8\u304d\u8fbc\u307f\u30fb\u8aad\u307f\u8fbc\u307f\u306b\u306f\uff0cNumPy \u306e <code>savetxt()<\/code> \u3084 <code>loadtxt()<\/code> \u3092\u4f7f\u3046\u3053\u3068\u306b\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[20]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u30d5\u30a1\u30a4\u30eb\u306b\u66f8\u304d\u8fbc\u3080\u30c7\u30fc\u30bf\u3092\u4f5c\u6210<\/span>\r\n\r\n<span class=\"n\">dat<\/span> <span class=\"o\">=<\/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\">6<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">dat<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/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\">2<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"c1\"># \u3067\u304d\u305f dat \u3092\u8868\u793a<\/span>\r\n<span class=\"n\">dat<\/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[20]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>[[0, 0], [1, 1], [2, 4], [3, 9], [4, 16], [5, 25]]<\/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[21]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u30d5\u30a1\u30a4\u30eb data.txt \u306b dat \u306e\u5185\u5bb9\u3092\u66f8\u304d\u8fbc\u3080<\/span>\r\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">savetxt<\/span><span class=\"p\">(<\/span><span class=\"s1\">'data.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\">%i<\/span><span class=\"s1\">'<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u6574\u6570\u3068\u3057\u3066\u66f8\u304d\u51fa\u3057<\/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>\u78ba\u304b\u306b\u30d5\u30a1\u30a4\u30eb\u304c\u4f5c\u6210\u3055\u308c\u3066\u3044\u308b\u304b\uff0c\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/p>\n<p>\uff08\u5f18\u5927 JupyterHub \u306f Ubuntu \u30b5\u30fc\u30d0\u3067\u3059\u304b\u3089\uff0c<code>!<\/code> \u306b\u7d9a\u3051\u3066\u30c6\u30ad\u30b9\u30c8\u30d5\u30a1\u30a4\u30eb\u306e\u4e2d\u8eab\u3092\u898b\u308b\u30b3\u30de\u30f3\u30c9 <code>cat data.txt<\/code> \u3092\u6253\u3061\u8fbc\u3093\u3067\uff0c\u5185\u5bb9\u3092\u8868\u793a\u3055\u305b\u307e\u3059\u3002\uff09<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[22]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u30d5\u30a1\u30a4\u30eb\u306e\u5185\u5bb9\u8868\u793a<\/span>\r\n<span class=\"o\">!<\/span>cat data.txt\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>0 0\r\n1 1\r\n2 4\r\n3 9\r\n4 16\r\n5 25\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[23]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># loadtxt() \u3067\u8aad\u307f\u8fbc\u307f\uff0c\u5909\u6570 data \u306b\u4ee3\u5165\u3002<\/span>\r\n<span class=\"n\">data<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">loadtxt<\/span><span class=\"p\">(<\/span><span class=\"s1\">'data.txt'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dtype<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'int'<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u6574\u6570\u3068\u3057\u3066\u8aad\u307f\u8fbc\u307f<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[24]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># Python \u3067\u4f5c\u6210\u3057\u305f dat \u306f\u30ea\u30b9\u30c8<\/span>\r\n<span class=\"nb\">type<\/span><span class=\"p\">(<\/span><span class=\"n\">dat<\/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[24]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>list<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[25]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># NumPy \u306e loadtxt() \u3067\u8aad\u307f\u8fbc\u3093\u3060 data \u306f\u914d\u5217\u306b\u306a\u308b<\/span>\r\n<span class=\"nb\">type<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/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[25]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>numpy.ndarray<\/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[26]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># numpy.ndarray \u914d\u5217\u3067\u3042\u308c\u3070\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4e00\u6319\u306b\u5217\u30c7\u30fc\u30bf\u3092\u6307\u5b9a\u53ef\u80fd<\/span>\r\n<span class=\"c1\"># data \u306e1\u5217\u76ee data[:,0] \u3092 X, 2\u5217\u76ee data[:,1] \u3092 Y<\/span>\r\n<span class=\"n\">X<\/span> <span class=\"o\">=<\/span> <span class=\"n\">data<\/span><span class=\"p\">[:,<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">Y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">data<\/span><span class=\"p\">[:,<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">X<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">Y<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>[0 1 2 3 4 5]\r\n[ 0  1  4  9 16 25]\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[27]:<\/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\">plot<\/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=\"s2\">\"ro\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u30c7\u30fc\u30bf\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6828\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot12.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u6570\u5024\u30c6\u3099\u30fc\u30bf\u3068\u7406\u8ad6\u66f2\u7dda\u3092\u91cd\u306d\u3066\u8868\u793a\">\u6570\u5024\u30c6\u3099\u30fc\u30bf\u3068\u7406\u8ad6\u66f2\u7dda\u3092\u91cd\u306d\u3066\u8868\u793a<\/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<p>\u524d\u7bc0\u306e\u6570\u5024\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb <code>data.txt<\/code> \u3068\u7406\u8ad6\u66f2\u7dda $y = x^2$ \u306e 2 \u3064\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u8868\u793a\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[28]:<\/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\">plot<\/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=\"s2\">\"ro\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u30c7\u30fc\u30bf\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u7406\u8ad6\u66f2\u7dda $y=x^2$\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6829\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot13.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u6d77\u738b\u661f\u3068\u51a5\u738b\u661f\u306e\u8ecc\u9053\">\u6d77\u738b\u661f\u3068\u51a5\u738b\u661f\u306e\u8ecc\u9053<\/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=\"\u7126\u70b9\u3092\u539f\u70b9\u3068\u3057\u305f\u6955\u5186\u306e\u30af\u3099\u30e9\u30d5\">\u7126\u70b9\u3092\u539f\u70b9\u3068\u3057\u305f\u6955\u5186\u306e\u30af\u3099\u30e9\u30d5<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u592a\u967d\u304b\u3089\u306e\u4e07\u6709\u5f15\u529b\u3092\u53d7\u3051\u3066\u904b\u52d5\u3059\u308b\u60d1\u661f\u306f\uff0c\u592a\u967d\uff08\u4e8c\u4f53\u554f\u984c\u3066\u3099\u306f\u8cea\u91cf\u4e2d\u5fc3\uff09\u3092\u7126\u70b9\u306e\u4e00\u3064\u3068\u3057\u305f\u6955\u5186\u904b\u52d5\u3092\u63cf\u3044\u3066\u904b\u52d5\u3057\u307e\u3059\u3002<br \/>\n\u7126\u70b9\u306e\u4e00\u3064\u3092\u539f\u70b9\u3068\u3057\uff0c\u9577\u534a\u5f84 $a$\uff0c\u96e2\u5fc3\u7387 $e$ \u306e\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\uff0c\u6975\u5ea7\u6a19 $r$\uff0c$\\varphi$ \u3092\u4f7f\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304b\u3099\u3066\u3099\u304d\u307e\u3059\u3002<\/p>\n<p>$$ r= \\frac{a (1\u2212e^2)}{ 1 + e\\cos\\varphi}$$<\/p>\n<p>\u3055\u3066\uff0c\u304b\u3064\u3066\u306f\u7b2c9\u60d1\u661f\uff0c\u73fe\u5728\u3067\u306f\u6e96\u60d1\u661f\u306e\u4e00\u3064\u3067\u3042\u308b\u51a5\u738b\u661f\u3082\u6955\u5186\u8ecc\u9053\u3092\u63cf\u304d\u307e\u3059\u3002\u51a5\u738b\u661f\u306e\u8ecc\u9053\u9577\u534a\u5f84 $\ud835\udc4e_P=39.445 \\mbox{au}$\uff0c\u96e2\u5fc3\u7387 $\ud835\udc52_P=0.250$<br \/>\n\u3092\u4f7f\u3063\u3066\u51a5\u738b\u661f\u306e\u8ecc\u9053\u3092\u63cf\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E5%86%A5%E7%8E%8B%E6%98%9F\">\u51a5\u738b\u661f &#8211; Wikipedia<\/a><\/li>\n<\/ul>\n<p>\u307e\u305a\uff0c\u6975\u5ea7\u6a19\u8868\u793a\u306e\u6955\u5186\u306e\u5f0f\u3092\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\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[29]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">a<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">-<\/span><span class=\"n\">e<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">+<\/span><span class=\"n\">e<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">phi<\/span><span class=\"p\">))<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">r<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">phi<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">r<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">)<\/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\">phi<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[30]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">aP<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">39.445<\/span>\r\n<span class=\"n\">eP<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.250<\/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\"># \u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"c1\">#fig = plt.figure(figsize=[6,6])<\/span>\r\n\r\n<span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"c1\">#plt.axis([-60, 60, -60, 60])<\/span>\r\n\r\n<span class=\"n\">phi<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">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=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u51a5\u738b\u661f\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6830\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot14.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3067\u306f\uff0c\u3053\u306e\u51a5\u738b\u661f\u306e\u8ecc\u9053\u3068\uff0c\u305d\u306e\u5185\u5074\u3092\u307e\u308f\u308b\u6d77\u738b\u661f\u306e\u8ecc\u9053\u3092\u91cd\u306d\u3066\u63cf\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6d77\u738b\u661f\u306e\u8ecc\u9053\u9577\u534a\u5f84\u306f $a_N=30.181 \\mbox{au}$\uff0c\u96e2\u5fc3\u7387\u306f $e_N=0.0097$ \u3068\u5c0f\u3055\u3044\u306e\u3067\u7c21\u5358\u306e\u305f\u3081\u306b $e_N=0$ \u3068\u3057\u3066\u6271\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E6%B5%B7%E7%8E%8B%E6%98%9F\">\u6d77\u738b\u661f &#8211; Wikipedia<\/a><\/li>\n<\/ul>\n<p>\u5b9f\u969b\u306e2\u3064\u306e\u5929\u4f53\u306e\u8ecc\u9053\u306f\u540c\u3058\u5e73\u9762\u4e0a\u306b\u3042\u308a\u307e\u305b\u3093\u304c\uff0c\u592a\u967d\u304b\u3089\u306e\u8ddd\u96e2\u306e\u307f\u3092\u307f\u308b\u305f\u3081\u306b\uff0c\u3053\u3053\u3067\u306f\u540c\u4e00\u5e73\u9762\u4e0a\u306b\u63cf\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[32]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">aN<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">30.181<\/span>\r\n<span class=\"n\">eN<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/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[33]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"c1\">#plt.axis([-60, 60, -60, 60])<\/span>\r\n\r\n<span class=\"n\">phi<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">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=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u51a5\u738b\u661f\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">aN<\/span><span class=\"p\">,<\/span> <span class=\"n\">eN<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">aN<\/span><span class=\"p\">,<\/span> <span class=\"n\">eN<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u6d77\u738b\u661f\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6831\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot15.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"x-\u8ef8-y-\u8ef8\u3092\u5f15\u304f\">x \u8ef8 y \u8ef8\u3092\u5f15\u304f<\/h4>\n<p>Matplotlib \u696d\u754c\u3067\u306f $x$ \u8ef8\u3084 $y$ \u8ef8\u3092\u5f15\u304f\u3068\u3044\u3046\u6163\u7fd2\u304c\u306a\u3044\u306e\u304b\uff0c\u305d\u306e\u3088\u3046\u306a\u30aa\u30d7\u30b7\u30e7\u30f3\u304c\u898b\u5f53\u305f\u308a\u307e\u305b\u3093\u3002\u4ed5\u65b9\u304c\u306a\u3044\u306e\u3067\uff0c<code>axhline()<\/code> \u3068 <code>axvline()<\/code> \u3092\u4f7f\u3063\u3066\u305d\u308c\u3089\u3057\u3044\u7dda\u3092\u5f15\u3044\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[34]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">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\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"mi\">40<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">50<\/span><span class=\"p\">,<\/span> <span class=\"mi\">50<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"n\">phi<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">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=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u51a5\u738b\u661f\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">aN<\/span><span class=\"p\">,<\/span> <span class=\"n\">eN<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">aN<\/span><span class=\"p\">,<\/span> <span class=\"n\">eN<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u6d77\u738b\u661f\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6832\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot16.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u95a2\u6570\u30d5\u30a3\u30c3\u30c8\">\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u95a2\u6570\u30d5\u30a3\u30c3\u30c8<\/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<p>\u5f18\u524d\u5e02\u306e\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u30c6\u3099\u30fc\u30bf\u3092\u4f7f\u3063\u3066\u914d\u5217 <code>HiroT<\/code> \u3092\u4f5c\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/www.data.jma.go.jp\/obd\/stats\/etrn\/view\/nml_amd_ym.php?prec_no=31&amp;block_no=0166&amp;year=&amp;month=&amp;day=&amp;view=\">\u5f18\u524d\u3000\u5e73\u5e74\u5024\uff08\u5e74\u30fb\u6708\u3054\u3068\u306e\u5024\uff09\u3000\u4e3b\u306a\u8981\u7d20<\/a><\/li>\n<\/ul>\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[35]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">Month<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"n\">i<\/span> <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\">1<\/span><span class=\"p\">,<\/span><span class=\"mi\">13<\/span><span class=\"p\">)]<\/span>\r\n<span class=\"n\">HiroT<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.5<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.0<\/span><span class=\"p\">,<\/span>  <span class=\"mf\">2.3<\/span><span class=\"p\">,<\/span>  <span class=\"mf\">8.6<\/span><span class=\"p\">,<\/span> <span class=\"mf\">14.3<\/span><span class=\"p\">,<\/span> <span class=\"mf\">18.3<\/span><span class=\"p\">,<\/span>\r\n         <span class=\"mf\">22.3<\/span><span class=\"p\">,<\/span> <span class=\"mf\">23.5<\/span><span class=\"p\">,<\/span> <span class=\"mf\">19.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">12.9<\/span><span class=\"p\">,<\/span>  <span class=\"mf\">6.5<\/span><span class=\"p\">,<\/span>  <span class=\"mf\">0.8<\/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 code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[36]:<\/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\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">Month<\/span><span class=\"p\">,<\/span> <span class=\"n\">HiroT<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"o\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u6708\u5225\u5e73\u5e74\u6c17\u6e29\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6833\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot17.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u30b0\u30e9\u30d5\u3092\u307f\u308b\u3068\uff0c\u6708\u5225\u5e73\u5e74\u57fa\u672c\u306f 12\u30f6\u6708\u5468\u671f\u306e\u6b63\u5f26\u95a2\u6570\u3042\u308b\u3044\u306f\u4f59\u5f26\u95a2\u6570\u306e\u3088\u3046\u306b\u307f\u3048\u307e\u3059\u3002\u3067\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u95a2\u6570\u3067\u30d5\u30a3\u30c3\u30c8\u3057\u3066\u307f\u307e\u3059\u3002$a, b, c$ \u304c\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3067\u6c7a\u5b9a\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3059\u3002<\/p>\n<p>$$f(x, a, b, c) = a + b \\sin\\left(\\frac{2\\pi x}{12}\\right)<br \/>\n+ c \\cos\\left(\\frac{2\\pi x}{12}\\right)$$<\/p>\n<p><code>scipy.optimize.curve_fit()<\/code> \u3067\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p><code>help(curve_fit)<\/code> \u304b\u3089\u4e00\u90e8\u3092\u5f15\u7528\uff1a<\/p>\n<pre><code>curve_fit(f, xdata, ydata, ...)     \r\nUse non-linear least squares to fit a function, f, to data.    \r\nReturns\r\n-------\r\npopt : array\r\n    Optimal values for the parameters\r\npcov : 2-D array\r\n    The estimated covariance of popt.<\/code><\/pre>\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[37]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">a<\/span> <span class=\"o\">+<\/span> <span class=\"n\">b<\/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\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">6<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"n\">c<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">6<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[38]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"kn\">from<\/span> <span class=\"nn\">scipy.optimize<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">curve_fit<\/span>\r\n\r\n<span class=\"n\">popt<\/span><span class=\"p\">,<\/span> <span class=\"n\">pcov<\/span> <span class=\"o\">=<\/span> <span class=\"n\">curve_fit<\/span><span class=\"p\">(<\/span><span class=\"n\">f<\/span><span class=\"p\">,<\/span> <span class=\"n\">Month<\/span><span class=\"p\">,<\/span> <span class=\"n\">HiroT<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">popt<\/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[38]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>array([10.53333333, -8.34025528, -9.16106713])<\/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>\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306b\u3088\u3063\u3066\u6c42\u3081\u305f $a, b, c$ \u306e\u5024\u3092\u3082\u3063\u305f $f(x, a, b, c)$ \u306e\u30b0\u30e9\u30d5\u3092\u91cd\u306d\u3066\u30d7\u30ed\u30c3\u30c8\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[39]:<\/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\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">Month<\/span><span class=\"p\">,<\/span> <span class=\"n\">HiroT<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"o\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u6708\u5225\u5e73\u5e74\u6c17\u6e29\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">12<\/span><span class=\"p\">,<\/span> <span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"n\">popt<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u95a2\u6570\u30d5\u30a3\u30c3\u30c8\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x \u8ef8\u306e\u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">13<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"\u6708\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># y \u8ef8\u306e\u76ee\u76db\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">yticks<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">26<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylabel<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"\u00b0C\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6834\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot18.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u7df4\u7fd2-3-1\">\u7df4\u7fd2 3-1<\/h3>\n<p>\u5f18\u524d\u5e02\u306e\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u30c6\u3099\u30fc\u30bf\u3092\u4f7f\u3063\u3066<\/p>\n<ol>\n<li>\u30d5\u30a3\u30c3\u30c8\u3055\u305b\u308b\u95a2\u6570\u3092\uff08\u5468\u671f12\u30f6\u6708\u306e\u5468\u671f\u95a2\u6570\u3092\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u306b\u5c55\u958b\u3059\u308b\u8981\u9818\u3067\uff09\u4ee5\u4e0b\u306e\u3088\u3046\u306a <code>g(x)<\/code> \u306b\u3057\uff0c\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3067\u6c42\u3081\u3066\u307f\u3088\u3002<br \/>\n\\begin{eqnarray}<br \/>\ng(x) = A_0 &amp;+&amp; a_1 \\cos \\frac{2\\pi x}{12} + a_2 \\cos \\frac{4\\pi x}{12} \\\\<br \/>\n&amp;+&amp; b_1 \\sin \\frac{2\\pi x}{12} + b_2 \\sin \\frac{4\\pi x}{12}<br \/>\n\\end{eqnarray}<\/li>\n<li>\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u6570\u5024\u30c6\u3099\u30fc\u30bf\u3068\u30d5\u30a3\u30c3\u30c8\u66f2\u7dda $f(x)$ \u304a\u3088\u3073 $g(x)$ \u306e\u30b0\u30e9\u30d5\u3092\u91cd\u306d\u3066\u63cf\u3051\u3002<\/li>\n<li>\u6708\u5e73\u5e74\u6c17\u6e29\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u3066\u307f\u3088\u3002\uff08$g(x)$ \u306e\u5b9a\u6570\u90e8\u5206 $A_0$ \u304c\u5e73\u5747\u5024\u3002\uff09<\/li>\n<\/ol>\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[40]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">g<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">A0<\/span><span class=\"p\">,<\/span> <span class=\"n\">a1<\/span><span class=\"p\">,<\/span> <span class=\"n\">a2<\/span><span class=\"p\">,<\/span> <span class=\"n\">b1<\/span><span class=\"p\">,<\/span> <span class=\"n\">b2<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"p\">(<\/span><span class=\"n\">A0<\/span> <span class=\"o\">+<\/span> <span class=\"n\">a1<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">6<\/span><span class=\"p\">)<\/span> \r\n               <span class=\"o\">+<\/span> <span class=\"n\">a2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">)<\/span>\r\n               <span class=\"o\">+<\/span> <span class=\"n\">b1<\/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\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">6<\/span><span class=\"p\">)<\/span>\r\n               <span class=\"o\">+<\/span> <span class=\"n\">b2<\/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\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[\u00a0]:<\/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>\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=\"\u9818\u57df\u306e\u5857\u308a\u3064\u3076\u3057\">\u9818\u57df\u306e\u5857\u308a\u3064\u3076\u3057<\/h3>\n<h4 id=\"2\u672c\u306e\u967d\u95a2\u6570\u3067\u631f\u307e\u308c\u305f\u9818\u57df\u3092\u5857\u308a\u3064\u3076\u3059\">2\u672c\u306e\u967d\u95a2\u6570\u3067\u631f\u307e\u308c\u305f\u9818\u57df\u3092\u5857\u308a\u3064\u3076\u3059<\/h4>\n<p>$0.5 \\leq x \\leq 2$ \u3067 $y = f(x)$ \u3068 $x$ \u8ef8\uff08$y = 0$\uff09\u306b\u56f2\u307e\u308c\u305f\u9818\u57df\u3092\u5857\u308a\u3064\u3076\u3059\u4f8b\u3002$x$ \u8ef8 $y$ \u8ef8\u3092\u8868\u793a\u3057\u307e\u3059\u3002<br \/>\n\u30c7\u30d5\u30a9\u30eb\u30c8\u306e\u30b0\u30ea\u30c3\u30c9\u7dda\u304c\u5c11\u3057\u76ee\u969c\u308a\u306a\u5834\u5408\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7d30\u3081\u306e\u7070\u8272\u70b9\u7dda\u306b\u3057\u3066\u76ee\u7acb\u305f\u306a\u3044\u3088\u3046\u306b\u3059\u308b\u3053\u3068\u3082\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[41]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mf\">0.6<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span> <span class=\"o\">+<\/span> <span class=\"mf\">0.4<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># f(x) \u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">x1<\/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=\"mf\">0.25<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.25<\/span><span class=\"p\">,<\/span> <span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u5857\u308a\u3064\u3076\u3057\u306e\u7bc4\u56f2<\/span>\r\n<span class=\"n\">x2<\/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=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[42]:<\/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\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x1<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill_between<\/span><span class=\"p\">(<\/span><span class=\"n\">x2<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x2<\/span><span class=\"p\">),<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">fc<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"yellow\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.5<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.5<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\u3092\u7d30\u3081\u306e\u7070\u8272\u70b9\u7dda\u3067<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"lightgray\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6835\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot19.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u591a\u89d2\u5f62\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059\">\u591a\u89d2\u5f62\u306e\u5185\u90e8\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[43]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u591a\u89d2\u5f62\u306e\u9802\u70b9\u306e x \u5ea7\u6a19<\/span>\r\n<span class=\"n\">Xpoly<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n<span class=\"c1\"># \u591a\u89d2\u5f62\u306e\u9802\u70b9\u306e y \u5ea7\u6a19<\/span>\r\n<span class=\"n\">Ypoly<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">]<\/span>\r\n\r\n<span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u591a\u89d2\u5f62\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">Xpoly<\/span><span class=\"p\">,<\/span> <span class=\"n\">Ypoly<\/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-6848\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot20.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[44]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u591a\u89d2\u5f62\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">(<\/span><span class=\"n\">Xpoly<\/span><span class=\"p\">,<\/span> <span class=\"n\">Ypoly<\/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-6849\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot21.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h5 id=\"\u5186\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059\">\u5186\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059<\/h5>\n<p>\u5186\u5468\u4e0a\u306e\u591a\u6570\u306e\u9802\u70b9\u304b\u3089\u306a\u308b\u591a\u89d2\u5f62\u3068\u8003\u3048\u3066&#8230;<\/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[45]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/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\">t<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/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\">t<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[46]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><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=\"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=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">Xen<\/span> <span class=\"o\">=<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">Yen<\/span> <span class=\"o\">=<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u591a\u89d2\u5f62\u3068\u3057\u3066\u5186\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">Xen<\/span><span class=\"p\">,<\/span> <span class=\"n\">Yen<\/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-6850\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot22.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[47]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u591a\u89d2\u5f62\u3068\u3057\u3066\u5186\u3092\u5857\u308a\u3064\u3076\u3059<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">(<\/span><span class=\"n\">Xen<\/span><span class=\"p\">,<\/span> <span class=\"n\">Yen<\/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\">edgecolor<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"tab:blue\"<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6851\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot23.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h5 id=\"\u6247\u5f62\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059\">\u6247\u5f62\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059<a id=\"ouginuri\"><\/a><\/h5>\n<p>\u6247\u5f62\u3092\uff0c\u5186\u5468\u306e\u4e00\u90e8\u306e\u4e0a\u306e\u591a\u6570\u306e\u9802\u70b9\u3068\u539f\u70b9\u304b\u3089\u306a\u308b\u591a\u89d2\u5f62\u3060\u3068\u8003\u3048\u3066&#8230;<\/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[48]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><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=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># list \u306b\u3057\u3066\u304b\u3089\u7d50\u5408<\/span>\r\n<span class=\"n\">Xen<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">+<\/span> <span class=\"n\">enx<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/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\">Yen<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">+<\/span> <span class=\"n\">eny<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/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\r\n<span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u591a\u89d2\u5f62\u3068\u3057\u3066\u6247\u5f62\u3092\u63cf\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">Xen<\/span><span class=\"p\">,<\/span> <span class=\"n\">Yen<\/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-6852\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot24.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[49]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6247\u5f62\u306e\u5185\u90e8\u3092\u5857\u308a\u3064\u3076\u3059<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">fill<\/span><span class=\"p\">(<\/span><span class=\"n\">Xen<\/span><span class=\"p\">,<\/span> <span class=\"n\">Yen<\/span><span class=\"p\">,<\/span> <span class=\"n\">fc<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"yellow\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># edgecolor \u3092\u4f7f\u308f\u305a\u306b\u7e01\u3092\u9ed2\u7dda\u306b\u3059\u308b<\/span>\r\n<span class=\"c1\"># \u591a\u89d2\u5f62\u3068\u3057\u3066\u6247\u5f62\u3092\u5857\u308a\u3064\u3076\u3059<\/span>\r\n<span class=\"n\">plt<\/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\">Yen<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"black\"<\/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-6853\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot25.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u7df4\u7fd2-3-2\uff1a\u30e1\u30a4\u30ab\u30a4\u306b\u30ab\u30a4\u30e1\u30a4\u305b\u3088\">\u7df4\u7fd2 3-2\uff1a\u30e1\u30a4\u30ab\u30a4\u306b\u30ab\u30a4\u30e1\u30a4\u305b\u3088<\/h3>\n<p>\u51a5\u738b\u661f\u3068\u6d77\u738b\u661f\u306e\u8ecc\u9053\u306e\u30b0\u30e9\u30d5\u3092\u307f\u308b\u3068\uff0c\u8ecc\u9053\u304c\u4ea4\u5dee\u3057\u3066\u3044\u308b\u3002\u3053\u308c\u306f\uff0c\u3042\u308b\u671f\u9593\u51a5\u738b\u661f\u306e\u307b\u3046\u304c\u6d77\u738b\u661f\u3088\u308a\u592a\u967d\u306b\u8fd1\u3044\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u305d\u3053\u3067\uff0c\u4ee5\u4e0b\u306e\u6307\u793a\u306b\u5f93\u3063\u3066\u30b0\u30e9\u30d5\u3092\u5b8c\u6210\u3055\u305b\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"1.-\u6d77\u738b\u661f\u3068\u51a5\u738b\u661f\u306e\u8ecc\u9053\u304c\u4ea4\u5dee\u3059\u308b\u70b9\u3092\u6c42\u3081\u308b\">1. \u6d77\u738b\u661f\u3068\u51a5\u738b\u661f\u306e\u8ecc\u9053\u304c\u4ea4\u5dee\u3059\u308b\u70b9\u3092\u6c42\u3081\u308b<\/h4>\n<p>\u7c21\u5358\u306e\u305f\u3081\uff0c\u6d77\u738b\u661f\u306f\u534a\u5f84 $a_N$ \u306e\u5186\u8ecc\u9053\u3068\u3057\uff0c\u5b9f\u969b\u306e2\u3064\u306e\u5929\u4f53\u306e\u8ecc\u9053\u306f\u540c\u3058\u5e73\u9762\u4e0a\u306b\u306a\u3044\u304c\uff0c\u592a\u967d\u304b\u3089\u306e\u8ddd\u96e2\u306e\u307f\u3092\u307f\u308b\u305f\u3081\u306b\uff0c\u3053\u3053\u3067\u306f\u540c\u4e00\u5e73\u9762\u4e0a\u306b\u63cf\u304f\u3053\u3068\u306b\u3059\u308b\u3002<\/p>\n<p>$$r(a, e, \\phi) = \\frac{a (1-e^2)}{1 + e \\cos\\phi}$$<\/p>\n<p>\u3068\u3057\uff0c<\/p>\n<p>$$ r(a_P, e_P, \\phi) = a_N$$<\/p>\n<p>\u3068\u306a\u308b $\\phi$ \u306e\u5024 $\\phi_{\\rm eq}$ (<code>phieq<\/code>) \u3092\u6570\u5024\u7684\u306b\u6c42\u3081\u308b\u3002SymPy \u306b\u3088\u308b\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u306e\u6c42\u3081\u65b9\u306b\u3064\u3044\u3066\u306f\uff0c\u3059\u3067\u306b\u89e3\u8aac\u3057\u3066\u3044\u308b\u3002\u4ee5\u4e0b\u3092\u53c2\u7167\uff1a<\/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\/sympy-%e3%81%a7%e5%be%ae%e5%88%86%e7%a9%8d%e5%88%86%e3%83%bb%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ae%e8%a7%a3\/#i-15\">\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3053\u3053\u3067\u306f\uff0cMaplotlib \u3067\u5fc5\u8981\u3068\u3055\u308c\u308b NumPy \u3068 SymPy \u3092\u6df7\u5728\u3055\u305b\u306a\u3044\uff08\u305f\u3068\u3048\u3070\u4e09\u89d2\u95a2\u6570\u306f\u4e21\u65b9\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u304b\u3089\uff09\u3068\u3044\u3046\u65b9\u91dd\u3067\uff0c\u5f8c\u3067\u5225\u9014\u8aac\u660e\u3059\u308b SciPy \u306e <code>root_scalar()<\/code> \u3092\u4f7f\u3063\u3066\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3082\u7d39\u4ecb\u3059\u308b\u3002\u4ee5\u4e0b\u3092\u53c2\u7167\uff1a<\/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%e6%95%b0%e5%80%a4%e8%a7%a3%e6%9e%90\/python-%e3%81%ae-scipy-%e3%81%a7%e6%95%b0%e5%80%a4%e8%a7%a3%e6%9e%90\/#SciPy-3\">SciPy \u306b\u3088\u308b\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3<\/a><\/li>\n<\/ul>\n<p>$$f(x) \\equiv r(a_P, e_P, x) &#8211; a_N = 0$$<\/p>\n<p>\u3068\u306a\u308b $x$ \u306e\u5024 <code>phieq<\/code> \u3092 <code>root_scalar()<\/code> \u3092\u4f7f\u3063\u3066\u6570\u5024\u7684\u306b\u6c42\u3081\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[50]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"kn\">from<\/span> <span class=\"nn\">scipy.optimize<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">root_scalar<\/span>\r\n\r\n<span class=\"c1\"># \u5ff5\u306e\u305f\u3081\uff0c\u3059\u3067\u306b\u5b9a\u7fa9\u3057\u3066\u3044\u308b\u304c\u3053\u3053\u3067\u3082\u3046\u4e00\u5ea6\u30b3\u30d4\u30da<\/span>\r\n\r\n<span class=\"c1\"># \u51a5\u738b\u661f Pluto \u306e\u8ecc\u9053\u9577\u534a\u5f84\uff0c\u96e2\u5fc3\u7387<\/span>\r\n<span class=\"n\">aP<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">39.445<\/span>\r\n<span class=\"n\">eP<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">0.250<\/span>\r\n<span class=\"c1\"># \u6d77\u738b\u661f Neptune \u306e\u8ecc\u9053\u534a\u5f84<\/span>\r\n<span class=\"n\">aN<\/span> <span class=\"o\">=<\/span> <span class=\"mf\">30.181<\/span>\r\n<span class=\"n\">eN<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n\r\n<span class=\"c1\"># root_scalar \u306b\u6e21\u3059\u95a2\u6570\u306e\u5f15\u6570\u306f x \u6c7a\u3081\u6253\u3061<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">global<\/span> <span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">aN<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">aP<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">-<\/span><span class=\"n\">eP<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">+<\/span><span class=\"n\">eP<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">))<\/span> <span class=\"o\">-<\/span> <span class=\"n\">aN<\/span>\r\n\r\n<span class=\"c1\"># 0 &lt; x &lt; \u03c0\/2 \u306e\u9593\u3067 f(x) = 0 \u306e\u6570\u5024\u89e3\u3092\u63a2\u3059<\/span>\r\n<span class=\"n\">answer<\/span> <span class=\"o\">=<\/span> <span class=\"n\">root_scalar<\/span><span class=\"p\">(<\/span><span class=\"n\">f<\/span><span class=\"p\">,<\/span> <span class=\"n\">bracket<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">2<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">phieq<\/span> <span class=\"o\">=<\/span> <span class=\"n\">answer<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/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[51]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u53c2\u8003\u307e\u3067\u306b\u30e9\u30b8\u30a2\u30f3\u304b\u3089\u5ea6\u306b\u5909\u63db\u3057\u3066\u307f\u308b\u3068...<\/span>\r\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">degrees<\/span><span class=\"p\">(<\/span><span class=\"n\">phieq<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[52]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># f = 0 \u306e\u6570\u5024\u89e3\u306f -\u03c0\/2 &lt; x &lt; 0 \u306b\u3082\u3042\u308b<\/span>\r\n<span class=\"n\">answer2<\/span> <span class=\"o\">=<\/span> <span class=\"n\">root_scalar<\/span><span class=\"p\">(<\/span><span class=\"n\">f<\/span><span class=\"p\">,<\/span> <span class=\"n\">bracket<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/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=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">answer2<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/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>\u8ecc\u9053\u306e\u5bfe\u79f0\u6027\u304b\u3089\uff0c$- \\phi_{\\rm eq} &lt; \\phi &lt; + \\phi_{\\rm eq}$ \u306e\u9593\u306f\u51a5\u738b\u661f\u306e\u307b\u3046\u304c\u6d77\u738b\u661f\u3088\u308a\u592a\u967d\u306b\u8fd1\u3044\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"2.-Matplotlib-\u3067\u6d77\u738b\u661f\u3068\u51a5\u738b\u661f\u306e\u8ecc\u9053\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\">2. Matplotlib \u3067\u6d77\u738b\u661f\u3068\u51a5\u738b\u661f\u306e\u8ecc\u9053\u306e\u30b0\u30e9\u30d5\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[53]:<\/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\uff0c\u3059\u3067\u306b\u5b9a\u7fa9\u3057\u3066\u3044\u308b\u304c\u3053\u3053\u3067\u3082\u3046\u4e00\u5ea6\u30b3\u30d4\u30da<\/span>\r\n<span class=\"c1\"># \u6955\u5186\u306e\u6975\u5ea7\u6a19\u8868\u793a<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">a<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">-<\/span><span class=\"n\">e<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">+<\/span><span class=\"n\">e<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">phi<\/span><span class=\"p\">))<\/span>\r\n<span class=\"c1\"># x \u5ea7\u6a19<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">r<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">phi<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># y \u5ea7\u6a19<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">r<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">e<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">)<\/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\">phi<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[54]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">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\"># \u7e26\u6a2a\u306e\u30a2\u30b9\u30da\u30af\u30c8\u6bd4\u3092\u7b49\u3057\u304f\u3057\u3066<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axes<\/span><span class=\"p\">()<\/span><span class=\"o\">.<\/span><span class=\"n\">set_aspect<\/span><span class=\"p\">(<\/span><span class=\"s1\">'equal'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u306e\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mi\">60<\/span><span class=\"p\">,<\/span> <span class=\"mi\">40<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">50<\/span><span class=\"p\">,<\/span> <span class=\"mi\">50<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"n\">phi<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">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=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">aP<\/span><span class=\"p\">,<\/span> <span class=\"n\">eP<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u51a5\u738b\u661f\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">(<\/span><span class=\"n\">aN<\/span><span class=\"p\">,<\/span> <span class=\"n\">eN<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">y<\/span><span class=\"p\">(<\/span><span class=\"n\">aN<\/span><span class=\"p\">,<\/span> <span class=\"n\">eN<\/span><span class=\"p\">,<\/span> <span class=\"n\">phi<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"\u6d77\u738b\u661f\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">dashes<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"n\">linewidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/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 \">\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-6832\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/matplot16.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"3.-\u539f\u70b9\u30682\u3064\u306e\u8ecc\u9053\u306e\u4ea4\u70b9\u3092\u7d50\u3076\u76f4\u7dda\u30922\u672c\u63cf\u304f\">3. \u539f\u70b9\u30682\u3064\u306e\u8ecc\u9053\u306e\u4ea4\u70b9\u3092\u7d50\u3076\u76f4\u7dda\u30922\u672c\u63cf\u304f<\/h4>\n<p>\u539f\u70b9 $(0, 0)$ \u3068 $(x1, y1)$ \u3092\u7d50\u3076\u76f4\u7dda\u3092\u63cf\u304f\u306e\u306f<\/p>\n<div class=\"highlight\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">x1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">])<\/span>\r\n<\/pre>\n<\/div>\n<p>\u3067\u3042\u3063\u305f\u3002<\/p>\n<p>\u4ea4\u70b9\u306e1\u3064\u306f<\/p>\n<ul>\n<li>$(x(a_N, e_N, \\phi_{\\rm eq}), y(a_N, e_N, \\phi_{\\rm eq}))$\uff0c<\/li>\n<\/ul>\n<p>\u3082\u3046\u4e00\u3064\u306f<\/p>\n<ul>\n<li>$(x(a_N, e_N, -\\phi_{\\rm eq}), y(a_N, e_N, -\\phi_{\\rm eq}))$<\/li>\n<\/ul>\n<p>\u3067\u3042\u308b\u304b\u3089\uff0c1\u672c\u305a\u3064\u76f4\u7dda\u3092\u5f15\u304f\u3002\u540c\u3058\u8272\u3067\u63cf\u304f\u306b\u306f\uff0c<\/p>\n<div class=\"highlight\">\n<pre><span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">x1<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span><span class=\"p\">],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">x2<\/span><span class=\"p\">],<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">y2<\/span><span class=\"p\">],<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"4.-\u6d77\u738b\u661f\u304c\u51a5\u738b\u661f\u3088\u308a\u592a\u967d\u304b\u3089\u9060\u3044\u671f\u9593\u3092\u6c42\u3081\u308b\">4. \u6d77\u738b\u661f\u304c\u51a5\u738b\u661f\u3088\u308a\u592a\u967d\u304b\u3089\u9060\u3044\u671f\u9593\u3092\u6c42\u3081\u308b<\/h4>\n<p>\u6d77\u738b\u661f\u306e\u516c\u8ee2\u5468\u671f\uff081\u5468 $2\\pi$ \u30e9\u30b8\u30a2\u30f3\u3067\uff09$T_N$ \u306e\u3046\u3061\uff0c$\\displaystyle \\frac{2\\phi_{\\rm eq}}{2 \\pi}$ \u306e\u9593\u306f\u6d77\u738b\u661f\u304c\u51a5\u738b\u661f\u3088\u308a\u9060\u3044\u304b\u3089<\/p>\n<p>$$t_1 = T_N \\times \\frac{\\phi_{\\rm eq}}{\\pi}$$<\/p>\n<p>\u3067\u4e0e\u3048\u3089\u308c\u308b\u6642\u9593 $t_1$ \u306e\u9593\u3060\u3051\uff0c\u6d77\u738b\u661f\u304c\u51a5\u738b\u661f\u3088\u308a\u592a\u967d\u304b\u3089\u9060\u3044\u3053\u3068\u306b\u306a\u308b\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b&#8230;<\/p>\n<div class=\"highlight\">\n<pre><span class=\"c1\"># \u6d77\u738b\u661f\u306e\u516c\u8ee2\u5468\u671f\u306f\u4f55\u5e74\uff1f<\/span>\r\n<span class=\"n\">TN<\/span> <span class=\"o\">=<\/span> <span class=\"o\">...<\/span>\r\n\r\n<span class=\"c1\"># round() \u3067\u6570\u5024\u3092\u4e38\u3081\u308b<\/span>\r\n<span class=\"n\">t1<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">round<\/span><span class=\"p\">(<\/span><span class=\"n\">TN<\/span> <span class=\"o\">*<\/span> <span class=\"n\">phieq<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e x=7, y=0 \u304b\u3089\u306f\u3058\u307e\u308b\u30c6\u30ad\u30b9\u30c8\u3092\u66f8\u304f<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">text<\/span><span class=\"p\">(<\/span><span class=\"mi\">7<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"\u3053\u306e\u671f\u9593\u306f\"<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">t1<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s2\">\"\u5e74\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u30bf\u30a4\u30c8\u30eb\u3082\u3064\u3051\u3066\u307f\u3088\u3046<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"\u51a5\u738b\u661f\u304c\u6d77\u738b\u661f\u3088\u308a\u592a\u967d\u306b\u8fd1\u3044\u671f\u9593\"<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"5.-\u6247\u5f62\u306e\u90e8\u5206\u3092\u5857\u308a\u3064\u3076\u3059\">5. \u6247\u5f62\u306e\u90e8\u5206\u3092\u5857\u308a\u3064\u3076\u3059<\/h4>\n<p>\u6247\u5f62\u3092\uff0c\u5186\u5468\u306e\u4e00\u90e8\u3068\u539f\u70b9\u304b\u3089\u306a\u308b\u591a\u89d2\u5f62\u3060\u3068\u8003\u3048\u3066\u2026<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u5b8c\u6210\u30a4\u30e1\u30fc\u30b8\">\u5b8c\u6210\u30a4\u30e1\u30fc\u30b8<\/h4>\n<p>\u3060\u3044\u305f\u3044\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u304c\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6951\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/kadai4answer.svg\" alt=\"\" width=\"640\" height=\"640\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Python \u306e Matplotlib \u306b\u3088\u308b\u30b0\u30e9\u30d5\u4f5c\u6210\u306b\u306f\uff0cplt.*** \u3068\u3044\u3046\u95a2\u6570\u3092\u4f7f\u3063\u305f plt (pyplot) \u6d41\uff08pyplot \u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u3068\u3082\uff09\u3068\uff0cax.*** \u3068\u3044\u3046\u95a2\u6570\u3092\u4f7f\u3063\u305f ax \u6d41\uff08\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u6307\u5411\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u3068\u3082\uff09\u306e2\u3064\u306e\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u306f\uff0cplt.*** \u306e\u307f\u3092\u4f7f\u3063\u3066\u30b0\u30e9\u30d5\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u3066\u304a\u304d\u307e\u3059\u3002<\/p>\n<p>ax \u6d41\u3067 ax.*** \u306e\u307f\u3092\u4f7f\u3063\u3066\u30b0\u30e9\u30d5\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\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%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\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>Matplotlib \u3067\u30b0\u30e9\u30d5\u4f5c\u6210\uff1aax \u7de8 <\/li>\n<\/ul>\n","protected":false},"author":33,"featured_media":0,"parent":6721,"menu_order":40,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-6816","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\/6816","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=6816"}],"version-history":[{"count":24,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6816\/revisions"}],"predecessor-version":[{"id":9807,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6816\/revisions\/9807"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6721"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=6816"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}