{"id":7976,"date":"2024-03-12T12:44:43","date_gmt":"2024-03-12T03:44:43","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=7976"},"modified":"2024-03-15T10:37:41","modified_gmt":"2024-03-15T01:37:41","slug":"tanx-%e3%81%aa%e3%81%a9%e3%81%ae%e4%b8%8d%e9%80%a3%e7%b6%9a%e7%82%b9%e3%82%92%e3%81%a4%e3%81%aa%e3%81%8c%e3%81%aa%e3%81%84%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/7976\/","title":{"rendered":"tan(x) \u306a\u3069\u306e\u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3052\u306a\u3044\u30b0\u30e9\u30d5\u3092\u63cf\u304f"},"content":{"rendered":"<p>&nbsp;<\/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>\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u969b\uff0c$y=\\tan x$ \u3084 $y=1\/x$ \u306a\u3069\u306e\u4e0d\u9023\u7d9a\u70b9\u3092\u7121\u9020\u4f5c\u306b\u7dda\u3067\u3064\u306a\u3050\u30b1\u30fc\u30b9\u304c\u3042\u3063\u305f\u306e\u3067\uff0c\u4e0d\u9023\u7d9a\u70b9\u3092\u7121\u9020\u4f5c\u306b\u3064\u306a\u3052\u306a\u3044\u3088\u3046\u306a\u30b0\u30e9\u30d5\u306e\u63cf\u304d\u65b9\u3092\u307e\u3068\u3081\u3066\u307f\u305f\u3002<!--more--><\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6b\/%e5%8f%82%e8%80%83%ef%bc%9a%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/%e5%8f%82%e8%80%83%ef%bc%9agnuplot-%e3%81%a7%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/\" target=\"_blank\" rel=\"noopener\">\u53c2\u8003\uff1agnuplot \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/a>\n<ul>\n<li>gnuplot \u3067\u306f\u4e0d\u9023\u7d9a\u70b9\u3092\u4e0d\u7528\u610f\u306b\u7e4b\u3052\u306a\u3044\uff0c\u7279\u306b\u554f\u984c\u306a\u304f\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/li>\n<\/ul>\n<\/li>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6b\/%e5%8f%82%e8%80%83%ef%bc%9a%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/%e5%8f%82%e8%80%83%ef%bc%9amaxima-%e3%81%a7%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/\" target=\"_blank\" rel=\"noopener\">\u53c2\u8003\uff1aMaxima \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/a>\n<ul>\n<li>Maxima \u306f gnuplot \u3092\u30d0\u30c3\u30af\u30a8\u30f3\u30c9\u3068\u3057\u3066\u3044\u308b\u306e\u3067\uff0c\u7279\u306b\u554f\u984c\u306a\u304f\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/li>\n<\/ul>\n<\/li>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6b\/%e5%8f%82%e8%80%83%ef%bc%9a%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/%e5%8f%82%e8%80%83%ef%bc%9amatplotlib-%e3%81%a7%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/\" target=\"_blank\" rel=\"noopener\">\u53c2\u8003\uff1aMatplotlib \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/a>\n<ul>\n<li>Matplotlib \u3067\u306f\uff0c\u4e0d\u9023\u7d9a\u70b9\u3092\u7121\u9020\u4f5c\u306b\u3064\u306a\u3044\u3067\u30b0\u30e9\u30d5\u306b\u3057\u3066\u3057\u307e\u3046\u306e\u3067\uff0c\u4ee5\u4e0b\u306b\u5bfe\u51e6\u6cd5\u3092\u307e\u3068\u3081\u3066\u307f\u305f\u3002<\/li>\n<\/ul>\n<\/li>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6b\/%e5%8f%82%e8%80%83%ef%bc%9a%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/%e5%8f%82%e8%80%83%ef%bc%9asympy-plotting-backends-%e3%81%a7%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/\" target=\"_blank\" rel=\"noopener\">\u53c2\u8003\uff1aSymPy Plotting Backends \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/a>\n<ul>\n<li>\u30d0\u30c3\u30af\u30a8\u30f3\u30c9\u304c Matplotlib \u3067\u3042\u308b\u306e\u3067\uff0c\u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3044\u3067\u30b0\u30e9\u30d5\u306b\u3057\u3066\u3057\u307e\u3046\u5834\u5408\u304c\u3042\u308b\u3002\u4ee5\u4e0b\u306b\u5bfe\u51e6\u6cd5\u3092\u307e\u3068\u3081\u305f\u3002<\/li>\n<\/ul>\n<\/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<h3 id=\"gnuplot-\u7de8\">gnuplot \u7de8<\/h3>\n<h4 id=\"$y-=-\\tan-x$-\u306e\u30b0\u30e9\u30d5\">$y = \\tan x$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>$y \\rightarrow +\\infty$ \u304b\u3089 $y \\rightarrow -\\infty$ \u306b\u4e0d\u9023\u7d9a\u306b\u5909\u5316\u3059\u308b\u7b87\u6240\u304c\u3042\u3063\u3066\u3082\uff0cgnuplot \u3067\u306f\u7279\u306b\u554f\u984c\u306a\u304f plot \u3057\u3066\u304f\u308c\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-gnuplot\">\n<pre><span class=\"c\"># \u306a\u3081\u3089\u304b\u306a\u66f2\u7dda\u306e\u305f\u3081\u306b<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">samples<\/span> <span class=\"mi\">200<\/span>\r\n<span class=\"c\"># x\u8ef8 y\u8ef8\u3092\u63cf\u304f<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">zeroaxis<\/span>\r\n<span class=\"c\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\uff09\u3092\u63cf\u304f<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">grid<\/span>\r\n<span class=\"c\">#<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">xtics<\/span> <span class=\"p\">(<\/span><span class=\"s\">\"-2\u03c0\"<\/span> <span class=\"mi\">-2<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"o\">,<\/span> <span class=\"s\">\"-3\u03c0\/2\"<\/span> <span class=\"mi\">-1<\/span><span class=\"mf\">.5<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"o\">,<\/span> <span class=\"s\">\"-\u03c0\"<\/span> <span class=\"o\">-<\/span><span class=\"n\">pi<\/span><span class=\"o\">,<\/span> <span class=\"s\">\"-\u03c0\/2\"<\/span> <span class=\"mi\">-0<\/span><span class=\"mf\">.5<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"o\">,<\/span> <span class=\"s\">\"0\"<\/span> <span class=\"mi\">0<\/span><span class=\"o\">,<\/span> \\\r\n            <span class=\"s\">\"2\u03c0\"<\/span>  <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"o\">,<\/span>  <span class=\"s\">\"3\u03c0\/2\"<\/span>  <span class=\"mf\">1.5<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"o\">,<\/span>  <span class=\"s\">\"\u03c0\"<\/span>  <span class=\"n\">pi<\/span><span class=\"o\">,<\/span>  <span class=\"s\">\"\u03c0\/2\"<\/span>  <span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">xlabel<\/span> <span class=\"s\">\"x\"<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">ylabel<\/span> <span class=\"s\">\"tan(x)\"<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">title<\/span> <span class=\"s\">\"gnuplot \u3067 tan(x)\"<\/span>\r\n<span class=\"k\">plot<\/span> <span class=\"p\">[<\/span><span class=\"mi\">-2<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"o\">:<\/span><span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"p\">][<\/span><span class=\"mi\">-10<\/span><span class=\"o\">:<\/span><span class=\"mi\">10<\/span><span class=\"p\">]<\/span> <span class=\"nf\">tan<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span> <span class=\"n\">lc<\/span> <span class=\"s\">'blue'<\/span> <span class=\"n\">lw<\/span> <span class=\"mi\">2<\/span> <span class=\"nb\">notitle<\/span><\/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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7977\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/gtanx.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=\"$y-=-x^{-1}$-\u306e\u30b0\u30e9\u30d5\">$y = x^{-1}$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>$x = 0$ \u3067 $ y \\rightarrow -\\infty$ \u304b\u3089 $y \\rightarrow +\\infty$ \u306b\u4e0d\u9023\u7d9a\u306b\u5909\u5316\u3059\u308b\u304c\uff0cgnuplot \u3067\u306f\u7279\u306b\u554f\u984c\u306a\u304f plot \u3057\u3066\u304f\u308c\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-gnuplot\">\n<pre><span class=\"k\">reset<\/span>\r\n<span class=\"c\"># \u306a\u3081\u3089\u304b\u306a\u66f2\u7dda\u306e\u305f\u3081\u306b<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">samples<\/span> <span class=\"mi\">200<\/span>\r\n<span class=\"c\"># x\u8ef8 y\u8ef8\u3092\u63cf\u304f<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">zeroaxis<\/span>\r\n<span class=\"c\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\uff09\u3092\u63cf\u304f<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">grid<\/span>\r\n<span class=\"c\">#<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">xtics<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">xlabel<\/span> <span class=\"s\">\"x\"<\/span>\r\n<span class=\"k\">set<\/span> <span class=\"nb\">ylabel<\/span> <span class=\"s\">\"1\/x\"<\/span>\r\n\r\n<span class=\"k\">set<\/span> <span class=\"nb\">title<\/span> <span class=\"s\">\"gnuplot \u3067 1\/x\"<\/span>\r\n<span class=\"k\">plot<\/span> <span class=\"p\">[<\/span><span class=\"mi\">-5<\/span><span class=\"o\">:<\/span><span class=\"mi\">5<\/span><span class=\"p\">][<\/span><span class=\"mi\">-10<\/span><span class=\"o\">:<\/span><span class=\"mi\">10<\/span><span class=\"p\">]<\/span> <span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"p\">(<\/span><span class=\"mi\">-1<\/span><span class=\"p\">)<\/span> <span class=\"n\">lc<\/span> <span class=\"s\">'red'<\/span> <span class=\"n\">lw<\/span> <span class=\"mi\">2<\/span> <span class=\"nb\">notitle<\/span><\/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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7978\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/gx-1.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=\"Maxima-\u7de8\">Maxima \u7de8<\/h3>\n<h4 id=\"plot2d()-\u3067-$-y-=-\\tan-x$-\u306e\u30b0\u30e9\u30d5\"><code>plot2d()<\/code> \u3067 $ y = \\tan x$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>\u7279\u306b\u554f\u984c\u306a\u304f\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nf\">tan<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]<\/span>, \r\n  <span class=\"p\">[<\/span><span class=\"nv\">style<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">lines<\/span>, <span class=\"mi\">2<\/span>, <span class=\"nv\">blue<\/span><span class=\"p\">]]<\/span>,\r\n  <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">10<\/span>, 10<span class=\"p\">]<\/span>, <span class=\"nv\">grid2d<\/span>, \r\n  <span class=\"p\">[<\/span><span class=\"nv\">title<\/span>, <span class=\"s\">\"Maxima plot2d() \u3067 tan(x)\"<\/span><span class=\"p\">]<\/span>, \r\n  <span class=\"p\">[<\/span><span class=\"nv\">xtics<\/span>, <span class=\"nv\">%pi<\/span><span class=\"o\">\/<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">gnuplot_preamble<\/span>, <span class=\"s\">\"set format x '%3.1P \u03c0';\"<\/span><span class=\"p\">]<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7981\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxptanx.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"draw2d()-\u3067-$y-=-\\tan-x$-\u306e\u30b0\u30e9\u30d5\"><code>draw2d()<\/code> \u3067 $y = \\tan x$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>\u7279\u306b\u554f\u984c\u306a\u304f\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"blue\"<\/span>,\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span><span class=\"nf\">tan<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">)<\/span>,\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">10<\/span>, 10<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">yaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, \r\n  <span class=\"nv\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Maxima draw2d() \u3067 tan(x)\"<\/span>,\r\n  <span class=\"nv\">xlabel<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"x\"<\/span>, <span class=\"nv\">ylabel<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"tan(x)\"<\/span>,\r\n  <span class=\"nv\">grid<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, \r\n  <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">%pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">2<\/span>, <span class=\"nv\">user_preamble<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"set format x '%3.1P \u03c0'\"<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7982\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxdtanx.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"plot2d()-\u3067-$y-=-x^{-1}$-\u306e\u30b0\u30e9\u30d5\"><code>plot2d()<\/code> \u3067 $y = x^{-1}$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>\u3061\u3087\u3063\u3068\u8b66\u544a\u304c\u51fa\u308b\u304c\uff0c\u307e\u3041\u554f\u984c\u306a\u304f\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  1<span class=\"o\">\/<\/span><span class=\"nv\">x<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">style<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">lines<\/span>, <span class=\"mi\">2<\/span>, <span class=\"nv\">red<\/span><span class=\"p\">]]<\/span>,\r\n  <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">10<\/span>, 10<span class=\"p\">]<\/span>, <span class=\"nv\">grid2d<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">title<\/span>, <span class=\"s\">\"Maxima plot2d() \u3067 1\/x\"<\/span><span class=\"p\">]<\/span>, \r\n  <span class=\"p\">[<\/span><span class=\"nv\">xtics<\/span>, 1<span class=\"p\">]<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>plot2d: expression evaluates to non-numeric value somewhere in plotting range.\r\n<\/pre>\n<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7983\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxpx-1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"draw2d()-\u3067-$y-=-x^{-1}$-\u306e\u30b0\u30e9\u30d5\"><code>draw2d()<\/code> \u3067 $y = x^{-1}$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>\u7279\u306b\u554f\u984c\u306a\u304f\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">draw2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nv\">line_width<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span>, <span class=\"nv\">color<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"red\"<\/span>,\r\n  <span class=\"nf\">explicit<\/span><span class=\"p\">(<\/span>1<span class=\"o\">\/<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>,\r\n  <span class=\"nv\">xrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>, <span class=\"nv\">yrange<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">10<\/span>, 10<span class=\"p\">]<\/span>, \r\n  <span class=\"nv\">xaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">yaxis<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, \r\n  <span class=\"nv\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"Maxima draw2d() \u3067 1\/x\"<\/span>,\r\n  <span class=\"nv\">xlabel<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"x\"<\/span>, <span class=\"nv\">ylabel<\/span> <span class=\"o\">=<\/span> <span class=\"s\">\"1\/x\"<\/span>,\r\n  <span class=\"nv\">grid<\/span> <span class=\"o\">=<\/span> <span class=\"no\">true<\/span>, <span class=\"nv\">xtics<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>\r\n<span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7984\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxdx-1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"Matplotlib-\u7de8\">Matplotlib \u7de8<\/h3>\n<h4 id=\"\u30e2\u30b8\u30e5\u30fc\u30eb\u306e-import\">\u30e2\u30b8\u30e5\u30fc\u30eb\u306e import<\/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[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\">matplotlib.pyplot<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">plt<\/span>\r\n<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=\"c1\"># \u4ee5\u4e0b\u306f\u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a\u3055\u305b\u308b\u8a2d\u5b9a<\/span>\r\n<span class=\"o\">%<\/span><span class=\"k\">config<\/span> InlineBackend.figure_formats = ['svg']\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u306e\u30b5\u30a4\u30ba\uff0cmathtext \u306e\u30d5\u30a9\u30f3\u30c8\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s2\">\"figure.figsize\"<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"mi\">6<\/span><span class=\"p\">,<\/span> <span class=\"mi\">4<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s1\">'mathtext.fontset'<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'cm'<\/span>\r\n<\/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=\"$y-=-\\tan-x$-\u306e\u30b0\u30e9\u30d5\">$y = \\tan x$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>\u666e\u901a\u306b $y = \\tan x$ \u3092 <code>plt.plot()<\/code> \u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u306e\u3088\u3046\u306b\uff0c$y \\rightarrow \\infty$ \u304b\u3089 $y \\rightarrow -\\infty$ \u3068\u306a\u308b\u4e0d\u9023\u7d9a\u306a\u3068\u3053\u308d\u3082\u3064\u306a\u3044\u3067\u30b0\u30e9\u30d5\u306b\u3057\u3066\u3057\u307e\u3046\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/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\">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\">1000<\/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\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tan<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">color<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'blue'<\/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\">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>\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=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7986\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/plttanx1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h5 id=\"np.nan-\u3092\u4f7f\u3063\u305f\u5bfe\u51e6\u6cd5\u3068\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u4f8b\"><code>np.nan<\/code> \u3092\u4f7f\u3063\u305f\u5bfe\u51e6\u6cd5\u3068\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u4f8b<\/h5>\n<p>\u4e0d\u9023\u7d9a\u306a\u7b87\u6240\u306f\u7121\u7406\u306b\u7dda\u3067\u3064\u306a\u304c\u305a\u306b\u30b0\u30e9\u30d5\u306b\u3059\u308b\u4f8b\u3002\u305f\u3068\u3048\u3070\uff0c<code>y<\/code> \u306e\u7d76\u5bfe\u5024\u304c\u3042\u308b\u7a0b\u5ea6\u4ee5\u4e0a\u306e\u5927\u304d\u3044\u5024\u306a\u3089\uff0c\u305d\u306e\u70b9\u306f\u30b0\u30e9\u30d5\u306b\u63cf\u304b\u306a\u3044\u3088\u3046\u306b\u300c\u6b20\u640d\u5024\u300d<code>np.nan<\/code> (Not A Number) \u306b\u7f6e\u304d\u63db\u3048\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[3]:<\/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\">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\">1000<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">y<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tan<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># y \u306e\u7d76\u5bfe\u5024\u304c\u3042\u308b\u7a0b\u5ea6\u4ee5\u4e0a\u306a\u3089\u300c\u6b20\u640d\u5024\u300dnp.nan \u3068\u3059\u308b\u4f8b<\/span>\r\n<span class=\"n\">y<\/span><span class=\"p\">[<\/span><span class=\"nb\">abs<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span> <span class=\"o\">&gt;<\/span> <span class=\"mi\">100<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">nan<\/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=\"n\">color<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'blue'<\/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\">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>\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=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/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><span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s1\">'dotted'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/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=\"sa\">r<\/span><span class=\"s1\">'$\\tan x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'Matplotlib \u3067 $<\/span><span class=\"se\">\\\\<\/span><span class=\"s1\">tan x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/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=\"o\">-<\/span><span class=\"mf\">1.5<\/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=\"o\">-<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.5<\/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\">0<\/span><span class=\"p\">,<\/span>\r\n            <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span>  <span class=\"mf\">1.5<\/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=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">],<\/span> \r\n           <span class=\"p\">[<\/span><span class=\"s1\">'$-2\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-3\\pi\/2$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-\\pi\/2$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$0$'<\/span><span class=\"p\">,<\/span>\r\n            <span class=\"s1\">'$2\\pi$'<\/span><span class=\"p\">,<\/span>  <span class=\"s1\">'$3\\pi\/2$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$\\pi$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$\\pi\/2$'<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/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\">5<\/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=\"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\">5<\/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<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7987\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/plttanx2.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/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=\"$y-=-x^{-1}$-\u306e\u30b0\u30e9\u30d5\">$y = x^{-1}$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>$y = x^{-1}$ \u3092\u666e\u901a\u306b <code>plt.plot()<\/code> \u3059\u308b\u3068\uff0c$\\displaystyle \\lim_{x\\rightarrow -0} \\frac{1}{x} \\rightarrow -\\infty$ \u3068 $\\displaystyle \\lim_{x\\rightarrow +0} \\frac{1}{x} \\rightarrow +\\infty$ \u306e\u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3044\u3067\u30b0\u30e9\u30d5\u306b\u3057\u3066\u3057\u307e\u3046\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/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\">1000<\/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=\"p\">(<\/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=\"s1\">'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\">5<\/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\">ylim<\/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<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7988\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/pltx-1.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h5 id=\"np.nan-\u3092\u4f7f\u3063\u305f\u5bfe\u51e6\u6cd5\u3068\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u4f8b\"><code>np.nan<\/code> \u3092\u4f7f\u3063\u305f\u5bfe\u51e6\u6cd5\u3068\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u4f8b<\/h5>\n<p>\u4e0d\u9023\u7d9a\u306a\u7b87\u6240\u306f\u7121\u7406\u306b\u7dda\u3067\u3064\u306a\u304c\u305a\u306b\u30b0\u30e9\u30d5\u306b\u3059\u308b\u4f8b\u3002\u4f8b\u3048\u3070\uff0c$y = x^{-1}$ \u306f $x=0$ \u4ee5\u5916\u3067\u306f\u5358\u8abf\u6e1b\u5c11\u95a2\u6570\u306a\u306e\u3067\uff0c$y$ \u306e\u5024\u304c\u5897\u52a0\u3059\u308b\u3088\u3046\u306a\u3089\uff0c\u305d\u306e\u70b9\u306f\u30b0\u30e9\u30d5\u306b\u63cf\u304b\u306a\u3044\u3088\u3046\u306b\u300c\u6b20\u640d\u5024\u300d<code>np.nan<\/code> \u306b\u7f6e\u304d\u63db\u3048\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-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\">1000<\/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=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># y \u304c\u5897\u52a0\u3057\u305f\u3089\u300c\u6b20\u640d\u5024\u300dnp.nan \u3068\u3059\u308b\u4f8b<\/span>\r\n<span class=\"n\">y<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">:][<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">diff<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span> <span class=\"o\">&gt;<\/span> <span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">nan<\/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=\"n\">color<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'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\">5<\/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\">ylim<\/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=\"c1\"># x \u306e\u76ee\u76db\u3092 1 \u523b\u307f\u306b\u3002linspace \u3092\u4f7f\u3046\u4f8b\u3002<\/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\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">11<\/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><span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s1\">'dotted'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/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=\"sa\">r<\/span><span class=\"s1\">'$1\/x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'Matplotlib \u3067 $1\/x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/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\">5<\/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=\"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\">5<\/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<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-7989\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/pltx-1a.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/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=\"\u88dc\u8db3\u8aac\u660e\uff1anp.nan-\u306b\u7f6e\u304d\u63db\u3048\u308b\u65b9\u6cd5\">\u88dc\u8db3\u8aac\u660e\uff1a<code>np.nan<\/code> \u306b\u7f6e\u304d\u63db\u3048\u308b\u65b9\u6cd5<\/h4>\n<p>\u3042\u308b\u6761\u4ef6\u3092\u6e80\u305f\u3059\u914d\u5217\u306e\u8981\u7d20\u306e\u5024\u3092 <code>np.nan<\/code> \u306b\u7f6e\u304d\u63db\u3048\u308b\u65b9\u6cd5\u306e\u88dc\u8db3\u8aac\u660e\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>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\uff0c6\u500b\u306e\u8981\u7d20\u3092\u3082\u3064\u914d\u5217 <code>y<\/code> \u3092\u8003\u3048\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[6]:<\/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=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">([<\/span><span class=\"mf\">1.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">5.<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">30.<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">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 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>np.diff()<\/code> \u306f\u5404\u8981\u7d20\u9593\u306e\u5dee\u3092\u8868\u3059\u968e\u5dee\u6570\u5217\u3092\u751f\u6210\u3059\u308b\u3002\u305f\u3068\u3048\u3070 <code>y<\/code> \u306e\u5dee\u5206\u306f&#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[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">diff<\/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 output_prompt\">Out[7]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>array([  1.,   3., -35.,  29.,   4.])<\/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>\u3068\uff0c5\u500b\u306e\u6210\u5206\u3092\u3082\u3064\u914d\u5217\u3092\u751f\u6210\u3059\u308b\u304c\uff0c\u3053\u308c\u306f\u4ee5\u4e0b\u306e\u8a08\u7b97\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u306a\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[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><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=\"nb\">len<\/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=\"s1\">'<\/span><span class=\"si\">%7.0f<\/span><span class=\"s1\">'<\/span> <span class=\"o\">%<\/span> <span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span><span class=\"o\">-<\/span><span class=\"n\">y<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">]),<\/span> <span class=\"n\">end<\/span><span class=\"o\">=<\/span><span class=\"s1\">''<\/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>      1      3    -35     29      4<\/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><code>np.diff(y)<\/code> \u304c\u8ca0\u306e\u5024\u304b\u3069\u3046\u304b\u3092\u5224\u5b9a\u3059\u308b\u306b\u306f&#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[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">diff<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span> <span class=\"o\">&lt;<\/span> <span class=\"mi\">0<\/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[9]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>array([False, False,  True, False, False])<\/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><code>y<\/code> \u306e\u5024\u306e\u3046\u3061\uff0c<code>np.diff(y) &lt; 0<\/code> \u3068\u306a\u308b\u5024\u3092\u62bd\u51fa\u3059\u308b\u306b\u306f\uff0c<code>len(np.diff(y)) = len(y)-1<\/code> \u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\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[10]:<\/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=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">:][<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">diff<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">&lt;<\/span><span class=\"mi\">0<\/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>array([-30.])<\/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>\u307e\u305f\u306f\uff0c<\/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=\"n\">y<\/span><span class=\"p\">[:<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">][<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">diff<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span><span class=\"o\">&lt;<\/span><span class=\"mi\">0<\/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[11]:<\/div>\n<div class=\"output_text output_subarea output_execute_result\">\n<pre>array([5.])<\/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><code>y<\/code> \u306e\u8981\u7d20\u306e\u3046\u3061\uff0c<code>np.diff(y) &lt; 0<\/code> \u3068\u306a\u308b\u5024\u3092\u300c\u6b20\u640d\u5024\u300d<code>np.nan<\/code> \u306b\u3059\u308b\u306b\u306f&#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[12]:<\/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=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">([<\/span><span class=\"mf\">1.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">5.<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">30.<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.<\/span><span class=\"p\">])<\/span>\r\n<span class=\"c1\"># \u7f6e\u304d\u63db\u3048\u524d<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u7f6e\u304d\u63db\u3048\u524d'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">y<\/span><span class=\"p\">:<\/span>\r\n    <span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">'<\/span><span class=\"si\">%5.0f<\/span><span class=\"s1\">'<\/span> <span class=\"o\">%<\/span> <span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">end<\/span><span class=\"o\">=<\/span><span class=\"s1\">''<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">''<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">y<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">:][<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">diff<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span> <span class=\"o\">&lt;<\/span> <span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">nan<\/span>\r\n\r\n<span class=\"c1\"># \u7f6e\u304d\u63db\u3048\u5f8c<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u7f6e\u304d\u63db\u3048\u5f8c'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">y<\/span><span class=\"p\">:<\/span>\r\n    <span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">'<\/span><span class=\"si\">%5.0f<\/span><span class=\"s1\">'<\/span> <span class=\"o\">%<\/span> <span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">end<\/span><span class=\"o\">=<\/span><span class=\"s1\">''<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">''<\/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>\u7f6e\u304d\u63db\u3048\u524d\r\n    1    2    5  -30   -1    3\r\n\u7f6e\u304d\u63db\u3048\u5f8c\r\n    1    2    5  nan   -1    3\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>\u540c\u69d8\u306b\u3057\u3066\uff0c<code>y<\/code> \u306e\u8981\u7d20\u306e\u3046\u3061\uff0c\u7d76\u5bfe\u5024\u304c $5$ \u4ee5\u4e0a\uff0c\u3064\u307e\u308a <code>abs(y) &gt;= 5<\/code> \u3068\u306a\u308b\u5024\u3092\u300c\u6b20\u640d\u5024\u300d<code>np.nan<\/code> \u306b\u7f6e\u304d\u63db\u3048\u308b\u306b\u306f&#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[13]:<\/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=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">([<\/span><span class=\"mf\">1.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">2.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">5.<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">30.<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mf\">1.<\/span><span class=\"p\">,<\/span> <span class=\"mf\">3.<\/span><span class=\"p\">])<\/span>\r\n<span class=\"c1\"># \u7f6e\u304d\u63db\u3048\u524d<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u7f6e\u304d\u63db\u3048\u524d'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">y<\/span><span class=\"p\">:<\/span>\r\n    <span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">'<\/span><span class=\"si\">%5.0f<\/span><span class=\"s1\">'<\/span> <span class=\"o\">%<\/span> <span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">end<\/span><span class=\"o\">=<\/span><span class=\"s1\">''<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">''<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">y<\/span><span class=\"p\">[<\/span><span class=\"nb\">abs<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span> <span class=\"o\">&gt;=<\/span> <span class=\"mi\">5<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">nan<\/span>\r\n\r\n<span class=\"c1\"># \u7f6e\u304d\u63db\u3048\u5f8c<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u7f6e\u304d\u63db\u3048\u5f8c'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">y<\/span><span class=\"p\">:<\/span>\r\n    <span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">'<\/span><span class=\"si\">%5.0f<\/span><span class=\"s1\">'<\/span> <span class=\"o\">%<\/span> <span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">end<\/span><span class=\"o\">=<\/span><span class=\"s1\">''<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s1\">''<\/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>\u7f6e\u304d\u63db\u3048\u524d\r\n    1    2    5  -30   -1    3\r\n\u7f6e\u304d\u63db\u3048\u5f8c\r\n    1    2  nan  nan   -1    3\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=\"SymPy-Plotting-Backends-\u7de8\">SymPy Plotting Backends \u7de8<\/h3>\n<h4 id=\"\u30e2\u30b8\u30e5\u30fc\u30eb\u306e-import\">\u30e2\u30b8\u30e5\u30fc\u30eb\u306e import<\/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[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.abc<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\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=\"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\"># \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 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\"># \u30b0\u30e9\u30d5\u3092\u63cf\u304f\u305f\u3081\u3067\u306f\u306a\u304f\u30c7\u30d5\u30a9\u30eb\u30c8\u8a2d\u5b9a\u306e\u305f\u3081<\/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=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s1\">'mathtext.fontset'<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'cm'<\/span>\r\n<\/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=\"$y-=-\\tan-x$-\u306e\u30b0\u30e9\u30d5\">$y = \\tan x$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>\u666e\u901a\u306b $y = \\tan x$ \u3092 <code>plot()<\/code> \u3059\u308b\u3068\uff0c\uff08\u30d0\u30c3\u30af\u30a8\u30f3\u30c9\u304c Matplotlib \u3067\u3042\u308b\u3053\u3068\u304b\u3089\uff09\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u306e\u3088\u3046\u306b\uff0c$y \\rightarrow \\infty$ \u304b\u3089 $y \\rightarrow -\\infty$ \u3068\u306a\u308b\u4e0d\u9023\u7d9a\u306a\u3068\u3053\u308d\u3082\u3064\u306a\u3044\u3067\u30b0\u30e9\u30d5\u306b\u3057\u3066\u3057\u307e\u3046\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[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\">tan<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">2<\/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\">pi<\/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=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/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\">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=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/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-7991\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtanx1.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=\"detect_poles=True-\u3067\u5bfe\u51e6\"><code>detect_poles=True<\/code> \u3067\u5bfe\u51e6<\/h5>\n<p><code>detect_poles=True<\/code> \u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u3064\u3051\u3066\uff0c\u3055\u3089\u306b <code>n<\/code> \u306e\u5024\u3092\u5927\u304d\u3081\u306b\u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\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=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">tan<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">2<\/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\">pi<\/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=\"n\">xlim<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/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\">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=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/span><span class=\"p\">),<\/span> \r\n     <span class=\"n\">detect_poles<\/span><span class=\"o\">=<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">n<\/span><span class=\"o\">=<\/span><span class=\"mf\">1e05<\/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-7992\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtanx2.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=\"Matplotlib-\u98a8\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\">Matplotlib \u98a8\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a<\/h5>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/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\">tan<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">2<\/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\">pi<\/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=\"n\">detect_poles<\/span><span class=\"o\">=<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">n<\/span><span class=\"o\">=<\/span><span class=\"mf\">1e05<\/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\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">ax<\/span> <span class=\"o\">=<\/span> <span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">p<\/span><span class=\"o\">.<\/span><span class=\"n\">ax<\/span>\r\n<span class=\"n\"><span class=\"c1\"># <\/span>fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/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\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/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\">Pi<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylim<\/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\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s1\">'dotted'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylabel<\/span><span class=\"p\">(<\/span><span class=\"sa\">r<\/span><span class=\"s1\">'$\\tan x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'SymPy Plotting Backends \u3067 $<\/span><span class=\"se\">\\\\<\/span><span class=\"s1\">tan x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">([<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.5<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"n\">Pi<\/span><span class=\"p\">,<\/span><span class=\"o\">-<\/span><span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span>\r\n                <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.5<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">,<\/span> <span class=\"n\">Pi<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.5<\/span><span class=\"o\">*<\/span><span class=\"n\">Pi<\/span><span class=\"p\">],<\/span> \r\n              <span class=\"p\">[<\/span><span class=\"s1\">'$-2\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-3\\pi\/2$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-\\pi\/2$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$0$'<\/span><span class=\"p\">,<\/span>\r\n               <span class=\"s1\">'$ 2\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$ 3\\pi\/2$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$ \\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$ \\pi\/2$'<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">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\">5<\/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=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">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\">5<\/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<\/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-7999\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbtanx3a.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=\"$y-=-x^{-1}$-\u306e\u30b0\u30e9\u30d5\">$y = x^{-1}$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<p>$y = x^{-1}$ \u3092\u666e\u901a\u306b <code>plot()<\/code> \u3059\u308b\u3068\uff0c$\\displaystyle \\lim_{x\\rightarrow -0} \\frac{1}{x} \\rightarrow -\\infty$ \u3068 $\\displaystyle \\lim_{x\\rightarrow +0} \\frac{1}{x} \\rightarrow +\\infty$ \u306e\u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3044\u3067\u30b0\u30e9\u30d5\u306b\u3057\u3066\u3057\u307e\u3046\u306a\u3041\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=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/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=\"p\">{<\/span><span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'red'<\/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=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">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=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/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-7994\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbx-1.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=\"detect_poles=True-\u3067\u5bfe\u51e6\"><code>detect_poles=True<\/code> \u3067\u5bfe\u51e6<\/h5>\n<p><code>detect_poles=True<\/code> \u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u3064\u3051\u3066\uff0c\u3055\u3089\u306b <code>n<\/code> \u306e\u5024\u3092\u5927\u304d\u3081\u306b\u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/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=\"p\">{<\/span><span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'red'<\/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=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">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=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/span><span class=\"p\">),<\/span> \r\n     <span class=\"n\">detect_poles<\/span><span class=\"o\">=<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">n<\/span><span class=\"o\">=<\/span><span class=\"mf\">1e04<\/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-7995\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbx-1a.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=\"exclude-\u30aa\u30d7\u30b7\u30e7\u30f3\u3067\u5bfe\u51e6\"><code>exclude<\/code> \u30aa\u30d7\u30b7\u30e7\u30f3\u3067\u5bfe\u51e6<\/h5>\n<p>$x=0$ \u306f\u9664\u304f\u3053\u3068\u306b\u3057\u3066 <code>exclude = [0]<\/code> \u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u4f7f\u3046\u4f8b\u3002<code>xlabel<\/code> \u306a\u3069\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306f <code>plot()<\/code> \u5185\u3067\u8a2d\u5b9a\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[8]:<\/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\">x<\/span><span class=\"o\">**<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">x<\/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=\"p\">{<\/span><span class=\"s1\">'color'<\/span><span class=\"p\">:<\/span><span class=\"s1\">'red'<\/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=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">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=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/span><span class=\"p\">),<\/span> \r\n     <span class=\"n\">exclude<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">],<\/span> \r\n     <span class=\"n\">xlabel<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ylabel<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$1\/x$'<\/span><span class=\"p\">,<\/span> \r\n     <span class=\"n\">title<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'SymPy Plotting Backends \u3067 $1\/x$'<\/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-7996\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/spbx-1b.svg\" alt=\"\" width=\"640\" height=\"427\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;<\/p>\n<p>\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u969b\uff0c$y=\\tan x$ \u3084 $y=1\/x$ \u306a\u3069\u306e\u4e0d\u9023\u7d9a\u70b9\u3092\u7121\u9020\u4f5c\u306b\u7dda\u3067\u3064\u306a\u3050\u30b1\u30fc\u30b9\u304c\u3042\u3063\u305f\u306e\u3067\uff0c\u4e0d\u9023\u7d9a\u70b9\u3092\u7121\u9020\u4f5c\u306b\u3064\u306a\u3052\u306a\u3044\u3088\u3046\u306a\u30b0\u30e9\u30d5\u306e\u63cf\u304d\u65b9\u3092\u307e\u3068\u3081\u3066\u307f\u305f\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/7976\/\">\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":[15,13,14,12],"tags":[],"class_list":["post-7976","post","type-post","status-publish","format-standard","hentry","category-gnuplot","category-matplotlib","category-maxima","category-sympy","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/7976","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=7976"}],"version-history":[{"count":12,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/7976\/revisions"}],"predecessor-version":[{"id":7980,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/7976\/revisions\/7980"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=7976"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=7976"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=7976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}