{"id":5809,"date":"2023-03-21T16:22:23","date_gmt":"2023-03-21T07:22:23","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=5809"},"modified":"2023-03-21T16:29:01","modified_gmt":"2023-03-21T07:29:01","slug":"sympy-plotting-backends-%e3%81%a72%e6%9b%b2%e7%b7%9a%e3%81%ae%e6%8f%8f%e7%94%bb%e7%af%84%e5%9b%b2%e3%82%92%e5%80%8b%e5%88%a5%e3%81%ab%e8%a8%ad%e5%ae%9a%e3%81%97%e3%81%a6-plot-%e3%81%a8%e5%a1%97","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5809\/","title":{"rendered":"SymPy Plotting Backends \u30672\u66f2\u7dda\u306e\u63cf\u753b\u7bc4\u56f2\u3092\u500b\u5225\u306b\u8a2d\u5b9a\u3057\u3066 plot \u3068\u5857\u308a\u3064\u3076\u3057"},"content":{"rendered":"<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u300c<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5405\/\">gnuplot \u30672\u66f2\u7dda\u306e\u63cf\u753b\u7bc4\u56f2\u3092\u500b\u5225\u306b\u8a2d\u5b9a\u3057\u3066 plot \u3068\u5857\u308a\u3064\u3076\u3057<\/a>\u300d \u306e <a href=\"https:\/\/sympy-plot-backends.readthedocs.io\/en\/latest\/index.html\">SymPy Plotting Backends<\/a> \u7248\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><!--more--><\/p>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u4ee5\u4e0b\u306e\u5225\u30da\u30fc\u30b8\u3067\u30e1\u30e2\u3057\u3066\u304a\u3044\u305f\u5185\u5bb9\u3092\u3082\u3046\u5c11\u3057\u304b\u307f\u304f\u3060\u3044\u3066\u3002<\/p>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/home.hirosaki-u.ac.jp\/heroic-2020\/1722\/\">gnuplot \u306e plot \u3067\u500b\u5225\u7bc4\u56f2\u6307\u5b9a\u3068\uff12\u66f2\u7dda\u9593\u306e\u9818\u57df\u3092\u5857\u308a\u3064\u3076\u3057<\/a><\/li>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/home.hirosaki-u.ac.jp\/heroic-2020\/1801\/\">Maxima \u306e draw2d \u30672\u66f2\u7dda\u9593\u306e\u9818\u57df\u3092\u5857\u308a\u3064\u3076\u3057\u3068\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u51fa\u3057<\/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[1]:<\/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\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n<span class=\"c1\"># 1\u6587\u5b57\u5909\u6570\u306e Symbol \u306e\u5b9a\u7fa9\u304c\u7701\u7565\u3067\u304d\u308b<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy.abc<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n<span class=\"c1\"># \u03c0<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">pi<\/span>\r\n<span class=\"n\">Pi<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">float<\/span><span class=\"p\">(<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># SymPy Plotting Backends (SPB)<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">spb<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a<\/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=\"\u540c\u4e00\u306e\u63cf\u753b\u7bc4\u56f2\u30672\u672c\u306e\u66f2\u7dda\u3092-plot()\">\u540c\u4e00\u306e\u63cf\u753b\u7bc4\u56f2\u30672\u672c\u306e\u66f2\u7dda\u3092 <code>plot()<\/code><\/h3>\n<p>SymPy \u306e <code>plot()<\/code> \u30672\u3064\u306e\u967d\u95a2\u6570\u306e\u66f2\u7dda\u3092\u540c\u6642\u306b\u30b0\u30e9\u30d5\u306b\u3059\u308b\u4f8b\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u4f8b\u3067\u306f $y=\\cos x$ \u3068 $y=\\sin x$ \u3092 \u540c\u4e00\u306e\u63cf\u753b\u7bc4\u56f2\u3000$0 \\leq x \\leq 2\\pi$ \u3067 <code>plot()<\/code> \u3057\u307e\u3059\u3002\u66f8\u5f0f\u306f&#8230;<\/p>\n<div class=\"highlight\">\n<pre><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">expr1<\/span><span class=\"p\">,<\/span> <span class=\"n\">expr2<\/span><span class=\"p\">,<\/span> <span class=\"o\">...<\/span><span class=\"p\">,<\/span> <span class=\"nb\">range<\/span><span class=\"p\">,<\/span> <span class=\"o\">**<\/span><span class=\"n\">kwargs<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/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\">pi<\/span><span class=\"p\">))<\/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-5810\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbnuri01.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=\"2\u672c\u306e\u66f2\u7dda\u306e\u63cf\u753b\u7bc4\u56f2\u3092\u500b\u5225\u306b\u8a2d\u5b9a\u3057\u3066-plot()\">2\u672c\u306e\u66f2\u7dda\u306e\u63cf\u753b\u7bc4\u56f2\u3092\u500b\u5225\u306b\u8a2d\u5b9a\u3057\u3066 <code>plot()<\/code><\/h3>\n<p>2\u3064\u306e\u66f2\u7dda\u306e\u63cf\u753b\u7bc4\u56f2\u3092\u305d\u308c\u305e\u308c\u5225\u306b\uff0c\u307e\u305f\u66f2\u7dda\u306e\u63cf\u753b\u7bc4\u56f2\u3068\u30b0\u30e9\u30d5\u306e\u8868\u793a\u7bc4\u56f2\u3092\u72ec\u7acb\u306b\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u4f8b\u3067\u306f\uff0c\u30b0\u30e9\u30d5\u306e\u8868\u793a\u7bc4\u56f2\u3092\u6a2a\u8ef8 <code>(-0.2, %pi+0.2)<\/code>\uff0c\u7e26\u8ef8 <code>(-0.1, 1.1)<\/code> \u306b\u3057\uff0c<\/p>\n<ul>\n<li>$0 \\leq x \\leq \\frac{\\pi}{4}$ \u306e\u7bc4\u56f2\u3067 $y=\\cos x$<\/li>\n<li>$0 \\leq x \\leq \\pi$ \u306e\u7bc4\u56f2\u3067 $y=\\sin x$<\/li>\n<\/ul>\n<p>\u3092 <code>plot()<\/code> \u3057\u307e\u3059\u3002\u500b\u5225\u306e\u63cf\u753b\u7bc4\u56f2\uff0c\u51e1\u4f8b\uff0c\u7dda\u8272\u306e\u8a2d\u5b9a\u3068\uff0c\u30b0\u30e9\u30d5\u306e\u8868\u793a\u7bc4\u56f2\u306e\u8a2d\u5b9a\u306e\u4f8b\u3002\u66f8\u5f0f\u306f&#8230;<\/p>\n<div class=\"highlight\">\n<pre><span class=\"n\">plot<\/span><span class=\"p\">((<\/span><span class=\"n\">expr1<\/span><span class=\"p\">,<\/span> <span class=\"n\">range1<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">expr2<\/span><span class=\"p\">,<\/span> <span class=\"n\">range2<\/span><span class=\"p\">),<\/span> <span class=\"o\">...<\/span><span class=\"p\">,<\/span> <span class=\"o\">**<\/span><span class=\"n\">kwargs<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plot<\/span><span class=\"p\">((<\/span><span class=\"n\">expr1<\/span><span class=\"p\">,<\/span> <span class=\"n\">range1<\/span><span class=\"p\">,<\/span> <span class=\"n\">label1<\/span><span class=\"p\">,<\/span> <span class=\"n\">rendering_kw1<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">expr2<\/span><span class=\"p\">,<\/span> <span class=\"n\">range2<\/span><span class=\"p\">,<\/span> <span class=\"n\">label2<\/span><span class=\"p\">,<\/span> <span class=\"n\">rendering_kw2<\/span><span class=\"p\">),<\/span> <span class=\"o\">...<\/span><span class=\"p\">,<\/span> <span class=\"o\">**<\/span><span class=\"n\">kwargs<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\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[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">plot<\/span><span class=\"p\">((<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"cos $x$\"<\/span><span class=\"p\">,<\/span> <span class=\"p\">{<\/span><span class=\"s2\">\"color\"<\/span><span class=\"p\">:<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">}),<\/span> \r\n     <span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"sin $x$\"<\/span><span class=\"p\">,<\/span> <span class=\"p\">{<\/span><span class=\"s2\">\"color\"<\/span><span class=\"p\">:<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">}<\/span> <span class=\"p\">),<\/span> \r\n     <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">))<\/span><span class=\"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-5811\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbnuri02.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=\"\u967d\u95a2\u6570\u3067\u8868\u3055\u308c\u305f2\u66f2\u7dda\u306e\u9593\u3092\u5857\u308a\u3064\u3076\u3059\">\u967d\u95a2\u6570\u3067\u8868\u3055\u308c\u305f2\u66f2\u7dda\u306e\u9593\u3092\u5857\u308a\u3064\u3076\u3059<\/h3>\n<p>$0 \\leq x \\leq \\frac{\\pi}{4}$ \u306e\u7bc4\u56f2\u3067 $y=\\cos x$ \u3068 $y=\\sin x$ \u306b\u56f2\u307e\u308c\u305f\u9818\u57df\u3092\u5857\u308a\u3064\u3076\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<p>\u30aa\u30d7\u30b7\u30e7\u30f3 <code>fill<\/code> \u306b\u5857\u308a\u3064\u3076\u3059 $x$ \u306e\u7bc4\u56f2 <code>'x'<\/code>\uff0c\u9818\u57df\u306e\u4e00\u65b9\u306e\u5883\u754c\u3092\u793a\u3059\u967d\u95a2\u6570 <code>'y1'<\/code>\uff0c\u540c\u3058\u304f\u4ed6\u65b9\u306e\u5883\u754c\u3092\u793a\u3059\u967d\u95a2\u6570 <code>'y2'<\/code> \u306e\u6570\u5024\u30ea\u30b9\u30c8\u3092\u8f9e\u66f8\u578b\u3067\u6307\u5b9a\u3059\u308b\uff08\u3089\u3057\u3044\uff09\u3002\u6570\u5024\u30ea\u30b9\u30c8\u306f <code>np.linspace()<\/code> \u3084 <code>np.arange()<\/code> \u3092\u4f7f\u3046\u306e\u304c\u5b9a\u756a\u3060\u304c\uff0c\u3053\u3053\u3067\u306f NumPy \u306b\u983c\u3089\u305a\u306b\u8a66\u3057\u3066\u307f\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># NumPy \u3092 import \u3057\u3066\u4f7f\u3046\u5834\u5408<\/span>\r\n<span class=\"c1\"># import numpy as np<\/span>\r\n<span class=\"c1\"># x_array = np.linspace(0, np.pi\/4, 100)<\/span>\r\n<span class=\"c1\"># y1_array = np.cos(x_array)<\/span>\r\n<span class=\"c1\"># y2_array = np.sin(x_array)<\/span>\r\n\r\n<span class=\"c1\"># NumPy \u306b\u983c\u3089\u306a\u3044\u5834\u5408<\/span>\r\n<span class=\"c1\"># 0 ~ Pi\/4 \u3092 100 \u7b49\u5206\u3057\u305f\u6570\u5024\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x_list<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[(<\/span><span class=\"n\">Pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span> <span class=\"o\">*<\/span> <span class=\"n\">i<\/span><span class=\"o\">\/<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/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\">101<\/span><span class=\"p\">)]<\/span>\r\n<span class=\"c1\"># x_array \u306b\u5bfe\u5fdc\u3057\u305f y1 \u306e\u6570\u5024\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">y1_list<\/span> <span class=\"o\">=<\/span> <span class=\"n\">lambdify<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">))(<\/span><span class=\"n\">x_list<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x_array \u306b\u5bfe\u5fdc\u3057\u305f y2 \u306e\u6570\u5024\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">y2_list<\/span> <span class=\"o\">=<\/span> <span class=\"n\">lambdify<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">))(<\/span><span class=\"n\">x_list<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plot<\/span><span class=\"p\">((<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"cos $x$\"<\/span><span class=\"p\">,<\/span> <span class=\"p\">{<\/span><span class=\"s2\">\"color\"<\/span><span class=\"p\">:<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">}),<\/span> \r\n     <span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"sin $x$\"<\/span><span class=\"p\">,<\/span> <span class=\"p\">{<\/span><span class=\"s2\">\"color\"<\/span><span class=\"p\">:<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">}),<\/span>\r\n     <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">),<\/span> \r\n     <span class=\"n\">fill<\/span><span class=\"o\">=<\/span><span class=\"p\">{<\/span><span class=\"s1\">'x'<\/span><span class=\"p\">:<\/span> <span class=\"n\">x_list<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"s1\">'y1'<\/span><span class=\"p\">:<\/span><span class=\"n\">y1_list<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"s1\">'y2'<\/span><span class=\"p\">:<\/span><span class=\"n\">y2_list<\/span><span class=\"p\">,<\/span>\r\n           <span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'yellow'<\/span><span class=\"p\">})<\/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-5812\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbnuri03.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=\"\u53c2\u8003\uff1aplot_implicit()-\u306b\u3088\u308b\u5857\u308a\u3064\u3076\u3057\">\u53c2\u8003\uff1a<code>plot_implicit()<\/code> \u306b\u3088\u308b\u5857\u308a\u3064\u3076\u3057<\/h3>\n<p><code>plot_implicit()<\/code> \u3092\u4f7f\u3044\uff0c$\\sin x \\leq y \\leq \\cos x$ \u306e\u9818\u57df\u3092 <code>p1<\/code> \u306e\u3088\u3046\u306b\u5857\u308a\u3064\u3076\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5883\u754c\u3092\u6ed1\u3089\u304b\u306b\u3059\u308b\u305f\u3081\u306b <code>depth = 3<\/code>\u3068\u3057\u3066\u3044\u307e\u3059\u3002<code>depth<\/code> \u306e\u5024\u3092\u5927\u304d\u304f (4 \u304c\u6700\u5927\u5024) \u3059\u308b\u3068\uff0c\u305d\u308c\u306a\u308a\u306b\u6ed1\u3089\u304b\u306b\u306a\u308a\u307e\u3059\u304c\uff0c\u6642\u9593\u304c\u304b\u304b\u308a\u307e\u3059\u3002\u307e\u305f\uff0c\u30d5\u30a1\u30a4\u30eb\u30b5\u30a4\u30ba\u3082\u30c7\u30ab\u304f\u306a\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=\"n\">p1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plot_implicit<\/span><span class=\"p\">((<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/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\">&gt;<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span><span class=\"p\">),<\/span> \r\n                   <span class=\"n\">adaptive<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">depth<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> \r\n                   <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.1<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.1<\/span><span class=\"p\">))<\/span><span class=\"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-5813\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbnuri04.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=\"\u6a2a\u8ef8\u306e\u76ee\u76db\u4f4d\u7f6e\u3068\u76ee\u76db\u30e9\u30d9\u30eb\u306e\u8a2d\u5b9a\">\u6a2a\u8ef8\u306e\u76ee\u76db\u4f4d\u7f6e\u3068\u76ee\u76db\u30e9\u30d9\u30eb\u306e\u8a2d\u5b9a<\/h3>\n<p>\u4eca\u5ea6\u306f\uff0c\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u306b\u3042\u308b\u4f8b\uff1a<br \/>\n$\\displaystyle \\frac{\\pi}{4} \\leq x \\leq \\frac{5\\pi}{4}$ \u306e\u7bc4\u56f2\u3067 $y=\\sin x$ \u3068 $y=\\cos x$ \u3067\u56f2\u307e\u308c\u305f\u90e8\u5206\u3092\u5857\u308a\u3064\u3076\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/home.hirosaki-u.ac.jp\/heroic-2020\/1801\/\">Maxima \u306e draw2d \u30672\u66f2\u7dda\u9593\u306e\u9818\u57df\u3092\u5857\u308a\u3064\u3076\u3057\u3068\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u51fa\u3057<\/a><\/li>\n<\/ul>\n<p>\u6a2a\u8ef8\u306e\u76ee\u76db\u3092 $\\frac{\\pi}{4}$ \u3054\u3068\u306b\u3064\u3051\u308b\u8a2d\u5b9a\u3092\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<p>\u300c\u7406\u5de5\u7cfb\u306e\u6570\u5b66B\u300d\u306e\u7a4d\u5206\u306e\u7df4\u7fd2\u554f\u984c\u3067\uff0c\u300c\u56f3\u306e\u5857\u308a\u3064\u3076\u3057\u305f\u90e8\u5206\u306e\u9762\u7a4d\u3092\u6c42\u3081\u3088\u3002\u300d\u306a\u3093\u3066\u3044\u3046\u3068\u304d\u306b\u4f7f\u3044\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># Pi\/4 ~ 5 Pi\/4 \u3092 100 \u7b49\u5206\u3057\u305f\u6570\u5024\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x_list<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[(<\/span><span class=\"n\">Pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span> <span class=\"o\">+<\/span> <span class=\"n\">Pi<\/span> <span class=\"o\">*<\/span> <span class=\"n\">i<\/span><span class=\"o\">\/<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/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\">101<\/span><span class=\"p\">)]<\/span>\r\n<span class=\"c1\"># x_list \u306b\u5bfe\u5fdc\u3057\u305f y1 \u306e\u6570\u5024\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">y1_list<\/span> <span class=\"o\">=<\/span> <span class=\"n\">lambdify<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">))(<\/span><span class=\"n\">x_list<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x_array \u306b\u5bfe\u5fdc\u3057\u305f y2 \u306e\u6570\u5024\u30ea\u30b9\u30c8\u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">y2_list<\/span> <span class=\"o\">=<\/span> <span class=\"n\">lambdify<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">))(<\/span><span class=\"n\">x_list<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">p<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plot<\/span><span class=\"p\">((<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"cos $x$\"<\/span><span class=\"p\">,<\/span> <span class=\"p\">{<\/span><span class=\"s2\">\"color\"<\/span><span class=\"p\">:<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">}),<\/span> \r\n         <span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"sin $x$\"<\/span><span class=\"p\">,<\/span> <span class=\"p\">{<\/span><span class=\"s2\">\"color\"<\/span><span class=\"p\">:<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">}),<\/span> \r\n         <span class=\"p\">(<\/span><span class=\"n\">x<\/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\">pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/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\">pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/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\">fill<\/span><span class=\"o\">=<\/span><span class=\"p\">{<\/span><span class=\"s1\">'x'<\/span><span class=\"p\">:<\/span> <span class=\"n\">x_list<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"s1\">'y1'<\/span><span class=\"p\">:<\/span><span class=\"n\">y1_list<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"s1\">'y2'<\/span><span class=\"p\">:<\/span><span class=\"n\">y2_list<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'yellow'<\/span><span class=\"p\">},<\/span> <span class=\"n\">show<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span><span class=\"p\">);<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">ax<\/span>\r\n<span class=\"c1\"># x \u8ef8\u306e\u76ee\u76db\u306f \u03c0\/4 \u3054\u3068\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[(<\/span><span class=\"n\">i<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span><span class=\"p\">)<\/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\">9<\/span><span class=\"p\">)])<\/span>\r\n<span class=\"c1\"># x \u8ef8\u306e\u76ee\u76db\u306e\u30e9\u30d9\u30eb\u3002\u65e2\u7d04\u5206\u6570\u8868\u8a18\u3067\u3002<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticklabels<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[(<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">Rational<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">))<\/span><span class=\"o\">+<\/span><span class=\"s2\">\" $\\pi$\"<\/span><span class=\"p\">)<\/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\">9<\/span><span class=\"p\">)]);<\/span>\r\n<span class=\"c1\"># \u624b\u52d5\u3067\u8a2d\u5b9a\u3059\u308b\u5834\u5408<\/span>\r\n<span class=\"c1\"># ax.set_xticklabels(<\/span>\r\n<span class=\"c1\">#    [\"$0$\", \" $\\pi\/4$\", \"$\\pi\/2$\", \"$3\\pi\/4$\", \"$\\pi$\",<\/span>\r\n<span class=\"c1\">#     \"$5\\pi\/4$\", \"$3\\pi\/2$\", \"$7\\pi\/4$\", \"$2\\pi$\"]);<\/span>\r\n<span class=\"c1\"># y \u8ef8\u306e\u76ee\u76db\u306f 0.5 \u3054\u3068\u306b<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[(<\/span><span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"p\">)<\/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=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/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-5814\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbnuri05.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=\"\u7e26\u7dda\u3092\u5f15\u304f\">\u7e26\u7dda\u3092\u5f15\u304f<\/h3>\n<p>2\u66f2\u7dda\u306e\u4ea4\u70b9\u3067\u3042\u308b $x = \\frac{\\pi}{4}$ \u3068 $x = \\frac{5\\pi}{4}$ \u306e\u3068\u3053\u308d\u306b <code>vlines()<\/code> \u3067\u7e26\u7dda\u3092\u5f15\u3044\u3066\u307f\u307e\u3059\u3002\u660e\u793a\u7684\u306b Matplotlib.pyplot \u3092 import \u3057\u3066\u3044\u307e\u305b\u3093\u304c\uff0cSPB \u3092 import \u3059\u308b\u3068\u4f7f\u3048\u308b\u3088\u3046\u3067\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=\"n\">p<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plot<\/span><span class=\"p\">((<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"cos $x$\"<\/span><span class=\"p\">,<\/span> <span class=\"p\">{<\/span><span class=\"s2\">\"color\"<\/span><span class=\"p\">:<\/span><span class=\"s2\">\"red\"<\/span><span class=\"p\">}),<\/span> \r\n         <span class=\"p\">(<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"sin $x$\"<\/span><span class=\"p\">,<\/span> <span class=\"p\">{<\/span><span class=\"s2\">\"color\"<\/span><span class=\"p\">:<\/span><span class=\"s2\">\"blue\"<\/span><span class=\"p\">}),<\/span> \r\n         <span class=\"p\">(<\/span><span class=\"n\">x<\/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\">pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/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\">pi<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/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\">fill<\/span><span class=\"o\">=<\/span><span class=\"p\">{<\/span><span class=\"s1\">'x'<\/span><span class=\"p\">:<\/span> <span class=\"n\">x_list<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"s1\">'y1'<\/span><span class=\"p\">:<\/span><span class=\"n\">y1_list<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"s1\">'y2'<\/span><span class=\"p\">:<\/span><span class=\"n\">y2_list<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'yellow'<\/span><span class=\"p\">},<\/span> <span class=\"n\">show<\/span> <span class=\"o\">=<\/span> <span class=\"kc\">False<\/span><span class=\"p\">);<\/span>\r\n<span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">ax<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[(<\/span><span class=\"n\">i<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span><span class=\"p\">)<\/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\">9<\/span><span class=\"p\">)])<\/span>\r\n<span class=\"c1\"># \u624b\u52d5\u3067\u8a2d\u5b9a\u3059\u308b\u5834\u5408<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticklabels<\/span><span class=\"p\">(<\/span>\r\n   <span class=\"p\">[<\/span><span class=\"s2\">\"$0$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$\\pi\/4$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$\\pi\/2$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$3\\pi\/4$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$\\pi$\"<\/span><span class=\"p\">,<\/span>\r\n    <span class=\"s2\">\"$5\\pi\/4$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$3\\pi\/2$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$7\\pi\/4$\"<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"$2\\pi$\"<\/span><span class=\"p\">]);<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_yticks<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"p\">[(<\/span><span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">i<\/span><span class=\"p\">)<\/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=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span><span class=\"mi\">3<\/span><span class=\"p\">)]);<\/span>\r\n\r\n<span class=\"c1\"># 2\u672c\u306e\u7e26\u7dda\u3092\u5f15\u304f<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">vlines<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">=<\/span><span class=\"n\">Pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"n\">ymin<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">ymax<\/span><span class=\"o\">=<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">Pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">vlines<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">=<\/span><span class=\"mi\">5<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"n\">ymin<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">ymax<\/span><span class=\"o\">=<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">4<\/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=\"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-5815\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbnuri06.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=\"\u7570\u306a\u308b\u7bc4\u56f2\u3067\u306e\u5857\u308a\u3064\u3076\u3057\u306e\u4f8b\">\u7570\u306a\u308b\u7bc4\u56f2\u3067\u306e\u5857\u308a\u3064\u3076\u3057\u306e\u4f8b<\/h3>\n<p>\u3082\u3046\u4e00\u3064\u306e\u4f8b\u3002$y=f(x)$ \u3068 $x$ \u8ef8\u306e\u9593\u3092\uff0c$0.5 \\leq x \\leq 2$ \u307e\u3067\u306f\u9ec4\u8272\u3067\uff0c$2 \\leq x \\leq 2.5$ \u307e\u3067\u306f\u7070\u8272\u3067\u5857\u308a\u3064\u3076\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[8]:<\/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\r\n<span class=\"n\">f<\/span> <span class=\"o\">=<\/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\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># 0.5 ~ 2 \u3092 100 \u7b49\u5206\u3057\u305f ndarray \u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x1_array<\/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<span class=\"c1\"># 2 ~ 2.5 \u3092 100 \u7b49\u5206\u3057\u305f ndarray \u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">x2_array<\/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\">2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x1_array \u306b\u5bfe\u5fdc\u3057\u305f f \u306e ndarray \u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">f1_array<\/span> <span class=\"o\">=<\/span> <span class=\"n\">lambdify<\/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\">x1_array<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x2_array \u306b\u5bfe\u5fdc\u3057\u305f f \u306e ndarray \u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">f2_array<\/span> <span class=\"o\">=<\/span> <span class=\"n\">lambdify<\/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\">x2_array<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">f<\/span><span class=\"p\">,<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.8<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"\"<\/span><span class=\"p\">,<\/span>\r\n     <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.5<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/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     <span class=\"n\">fill<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[{<\/span><span class=\"s1\">'x'<\/span><span class=\"p\">:<\/span> <span class=\"n\">x1_array<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'y1'<\/span><span class=\"p\">:<\/span><span class=\"n\">f1_array<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'yellow'<\/span><span class=\"p\">},<\/span> \r\n             <span class=\"p\">{<\/span><span class=\"s1\">'x'<\/span><span class=\"p\">:<\/span> <span class=\"n\">x2_array<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'y1'<\/span><span class=\"p\">:<\/span><span class=\"n\">f2_array<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">}])<\/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-5816\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbnuri07.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=\"list-\u3067\u306f\u306a\u304f-ndarray-\u3092\u4f7f\u3063\u305f\u307b\u3046\u304c\u3044\u3044\u304b\u3082\">list \u3067\u306f\u306a\u304f ndarray \u3092\u4f7f\u3063\u305f\u307b\u3046\u304c\u3044\u3044\u304b\u3082<\/h3>\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\">y<\/span> <span class=\"o\">=<\/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\">cos<\/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>\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=\"n\">x_list<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mf\">0.1<\/span><span class=\"o\">*<\/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\">6<\/span><span class=\"p\">)]<\/span>\r\n<span class=\"nb\">type<\/span><span class=\"p\">(<\/span><span class=\"n\">x_list<\/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[10]:<\/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 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>$y = 0.6 x + 0.4 \\cos x$ \u3068\u3044\u3046\u7c21\u5358\u306a\u95a2\u6570\u3067\u3042\u3063\u3066\u3082\uff0clist \u304b\u3089 <code>lambdify()<\/code> \u3067 <code>x_list<\/code> \u306b\u5bfe\u5fdc\u3057\u305f <code>y<\/code> \u306e list \u3092\u4f5c\u6210\u3057\u3088\u3046\u3068\u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u305c\u304b\u30a8\u30e9\u30fc\u3067\u4f5c\u6210\u3067\u304d\u306a\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># x_list \u306b\u5bfe\u5fdc\u3057\u305f y1 \u306e array \u3092\u4f5c\u6210\u3057\u3088\u3046\u3068\u3059\u308b\u3068\u30a8\u30e9\u30fc<\/span>\r\n<span class=\"n\">y1_list<\/span> <span class=\"o\">=<\/span> <span class=\"n\">lambdify<\/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\">x_list<\/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_text output_error\">\n<pre><span class=\"ansi-red-fg\">---------------------------------------------------------------------------<\/span>\r\n<span class=\"ansi-red-fg\">TypeError<\/span>                                 Traceback (most recent call last)\r\n<span class=\"ansi-green-fg\">&lt;ipython-input-11-8b6ff2fe8f18&gt;<\/span> in <span class=\"ansi-cyan-fg\">&lt;module&gt;<\/span>\r\n<span class=\"ansi-green-intense-fg ansi-bold\">      1<\/span> <span class=\"ansi-red-fg\"># x_list \u306b\u5bfe\u5fdc\u3057\u305f y1 \u306e array \u3092\u4f5c\u6210\u3057\u3088\u3046\u3068\u3059\u308b\u3068\u30a8\u30e9\u30fc<\/span>\r\n<span class=\"ansi-green-fg\">----&gt; 2<\/span> y1_list <span class=\"ansi-blue-fg\">=<\/span> lambdify<span class=\"ansi-blue-fg\">(<\/span>x<span class=\"ansi-blue-fg\">,<\/span> y<span class=\"ansi-blue-fg\">)<\/span><span class=\"ansi-blue-fg\">(<\/span>x_list<span class=\"ansi-blue-fg\">)<\/span>\r\n\r\n<span class=\"ansi-green-fg\">&lt;lambdifygenerated-19&gt;<\/span> in <span class=\"ansi-cyan-fg\">_lambdifygenerated<\/span><span class=\"ansi-blue-fg\">(x)<\/span>\r\n<span class=\"ansi-green-intense-fg ansi-bold\">      1<\/span> <span class=\"ansi-green-fg\">def<\/span> _lambdifygenerated<span class=\"ansi-blue-fg\">(<\/span>x<span class=\"ansi-blue-fg\">)<\/span><span class=\"ansi-blue-fg\">:<\/span>\r\n<span class=\"ansi-green-fg\">----&gt; 2<\/span>     <span class=\"ansi-green-fg\">return<\/span> <span class=\"ansi-cyan-fg\">0.6<\/span><span class=\"ansi-blue-fg\">*<\/span>x <span class=\"ansi-blue-fg\">+<\/span> <span class=\"ansi-cyan-fg\">0.4<\/span><span class=\"ansi-blue-fg\">*<\/span>cos<span class=\"ansi-blue-fg\">(<\/span>x<span class=\"ansi-blue-fg\">)<\/span>\r\n\r\n<span class=\"ansi-red-fg\">TypeError<\/span>: can't multiply sequence by non-int of type 'float'<\/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>\u4e00\u65b9\uff0cndarray \u306e <code>x_array<\/code> \u304b\u3089 <code>lambdify()<\/code> \u3067 <code>y<\/code> \u306e ndarray \u3092\u4f5c\u6210\u3059\u308b\u3068\uff0c\u7279\u306b\u554f\u984c\u306a\u304f\u4f5c\u6210\u3067\u304d\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[12]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">x_array<\/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=\"mf\">0.5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">type<\/span><span class=\"p\">(<\/span><span class=\"n\">x_array<\/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[12]:<\/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[13]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># x_array \u306b\u5bfe\u5fdc\u3057\u305f y \u306e array \u3092\u4f5c\u6210<\/span>\r\n<span class=\"n\">y1_array<\/span> <span class=\"o\">=<\/span> <span class=\"n\">lambdify<\/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\">x_array<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u30a8\u30e9\u30fc\u306a\u3057\uff0c\u554f\u984c\u306a\u304f lambdify \u3067\u304d\u308b\u3002<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u30b0\u30e9\u30d5\u3092-pdf-\u30d5\u30a1\u30a4\u30eb\u306b\u4fdd\u5b58\">\u30b0\u30e9\u30d5\u3092 pdf \u30d5\u30a1\u30a4\u30eb\u306b\u4fdd\u5b58<\/h3>\n<p>\u65e5\u672c\u8a9e\u3092\u542b\u3093\u3067\u3044\u3066\u3082\uff0c\u7279\u306b\u554f\u984c\u306a\u304f pdf \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3067\u304d\u308b\u3002\u66f8\u5f0f\u306f&#8230;<\/p>\n<div class=\"highlight\">\n<pre><span class=\"n\">plot<\/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=\"o\">...<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"filename.pdf\"<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<p>\u307e\u305f\u306f\uff0c<\/p>\n<div class=\"highlight\">\n<pre><span class=\"n\">p<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plot<\/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=\"o\">...<\/span><span class=\"p\">);<\/span>\r\n<span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"filename.pdf\"<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\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[14]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">p<\/span><span class=\"o\">=<\/span> <span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">f<\/span><span class=\"p\">,<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.8<\/span><span class=\"p\">),<\/span> <span class=\"s2\">\"\u95a2\u6570 $f(x)$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"\u30b0\u30e9\u30d5\"<\/span><span class=\"p\">,<\/span>\r\n     <span class=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.5<\/span><span class=\"p\">),<\/span> <span class=\"n\">ylim<\/span> <span class=\"o\">=<\/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     <span class=\"n\">fill<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[{<\/span><span class=\"s1\">'x'<\/span><span class=\"p\">:<\/span> <span class=\"n\">x1_array<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'y1'<\/span><span class=\"p\">:<\/span><span class=\"n\">f1_array<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'yellow'<\/span><span class=\"p\">},<\/span> \r\n             <span class=\"p\">{<\/span><span class=\"s1\">'x'<\/span><span class=\"p\">:<\/span> <span class=\"n\">x2_array<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'y1'<\/span><span class=\"p\">:<\/span><span class=\"n\">f2_array<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'lightgray'<\/span><span class=\"p\">}]);<\/span>\r\n<span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"spbnuri.pdf\"<\/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-5817\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbnuri.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u300cgnuplot \u30672\u66f2\u7dda\u306e\u63cf\u753b\u7bc4\u56f2\u3092\u500b\u5225\u306b\u8a2d\u5b9a\u3057\u3066 plot \u3068\u5857\u308a\u3064\u3076\u3057\u300d \u306e SymPy Plotting Backends \u7248\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/5809\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[12],"tags":[],"class_list":["post-5809","post","type-post","status-publish","format-standard","hentry","category-sympy","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5809","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=5809"}],"version-history":[{"count":2,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5809\/revisions"}],"predecessor-version":[{"id":5819,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/5809\/revisions\/5819"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=5809"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=5809"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=5809"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}