{"id":4508,"date":"2023-12-18T10:35:24","date_gmt":"2023-12-18T01:35:24","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=4508"},"modified":"2023-12-18T10:38:28","modified_gmt":"2023-12-18T01:38:28","slug":"maxima-%e3%81%ab%e3%82%88%e3%82%8b%e3%82%af%e3%82%99%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90-plot2d-%e7%b7%a8","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/%e5%8f%82%e8%80%83%ef%bc%9amaxima-%e7%b7%a8\/maxima-%e3%81%ab%e3%82%88%e3%82%8b%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/maxima-%e3%81%ab%e3%82%88%e3%82%8b%e3%82%af%e3%82%99%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90-plot2d-%e7%b7%a8\/","title":{"rendered":"Maxima \u3067\u30af\u3099\u30e9\u30d5\u4f5c\u6210 plot2d \u7de8"},"content":{"rendered":"<p>Maxima \u306e2\u6b21\u5143\u30b0\u30e9\u30d5\u4f5c\u6210\u306f <code>draw2d()<\/code> \u3067\u3082\u3067\u304d\u307e\u3059\u304c\uff0c\u3053\u3053\u3067\u306f\uff0c<code>plot2d()<\/code> \u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<br \/>\n<!--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>Maxima \u3092\u4f7f\u3063\u3066\uff0c\u95a2\u6570\u306e\u30af\u3099\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u304b\u3099\u3066\u3099\u304d\u307e\u3059\u3002\u307e\u305f\uff0c\u6570\u5024\u30c6\u3099\u30fc\u30bf\u3082\u30af\u3099\u30e9\u30d5\u306b\u3059\u308b\u3053\u3068\u304b\u3099\u3066\u3099\u304d\u307e\u3059\u3002<\/p>\n<p>Maxima \u306e2\u6b21\u5143\u30b0\u30e9\u30d5\u4f5c\u6210\u306f <code>draw2d()<\/code> \u3067\u3082\u3067\u304d\u307e\u3059\u304c\uff0c\u3053\u3053\u3067\u306f\uff0c<code>plot2d()<\/code> \u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<p><code>plot2d()<\/code> \u3067\u30d7\u30ed\u30c3\u30c8\u3067\u304d\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306f\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li>\u967d\u95a2\u6570 $y = f(x)$:\n<ul>\n<li><code>plot2d(f(x), [x, xmin, xmax])<\/code><\/li>\n<\/ul>\n<\/li>\n<li>\u9670\u95a2\u6570 $f(x, y) = 0$:\n<ul>\n<li><code>plot2d(f(x, y) = 0, [x, xmin, xmax], [y, ymin, ymax])<\/code><\/li>\n<\/ul>\n<\/li>\n<li>\u5a92\u4ecb\u5909\u6570\u8868\u793a $x(t), y(t)$:\n<ul>\n<li><code>plot2d([parametric, x(t), y(t), [t, t0, t1]])<\/code><\/li>\n<\/ul>\n<\/li>\n<li>\u70b9\uff0c$x$ \u5ea7\u6a19 $y$ \u5ea7\u6a19\u306e\u6570\u5024\u30c7\u30fc\u30bf:\n<ul>\n<li><code>plot2d([discrete, [[x1, y1], ..., [xn, ..., yn]]])<\/code> \u307e\u305f\u306f<\/li>\n<li><code>plot2d([discrete, [x1, ..., xn], [y1, ..., yn]])<\/code><\/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<h2 id=\"\u967d\u95a2\u6570\u306e\u30b0\u30e9\u30d5\">\u967d\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/h2>\n<p>\u4f8b\u3068\u3057\u3066\uff0c$y = \\sin x$ \u306e\u30af\u3099\u30e9\u30d5\u3092 $\u22122\\pi \\leq x \\leq 2\\pi$ \u306e\u7bc4\u56f2\u3066\u3099\u63cf\u304d\u307e\u3059\u3002\u57fa\u672c\u7684\u306a\u5b9a\u6570\u306e\u4e00\u3064\u3066\u3099\u3042\u308b\u5186\u5468\u7387 $\\pi$ \u306f Maxima \u3066\u3099\u306f <code>%pi<\/code> \u3068\u66f8\u304f\u306e\u3066\u3099\u3057\u305f\u306d\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\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><span class=\"nf\">sin<\/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<\/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-4509\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot01.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u8a2d\u5b9a\u4f8b *\/<\/span>\r\n<span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nf\">sin<\/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\r\n  <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">10<\/span>, 10<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span>, 1<span class=\"o\">.<\/span>1<span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* x \u8ef8 y \u8ef8\u306e\u8868\u793a\u30fb\u975e\u8868\u793a true\/false *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">axes<\/span>, <span class=\"no\">false<\/span><span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* \u30b0\u30ea\u30c3\u30c9 *\/<\/span>\r\n  <span class=\"nv\">grid2d<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u51e1\u4f8b *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">legend<\/span>, <span class=\"s\">\"\u6b63\u5f26\u95a2\u6570\"<\/span><span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* \u7dda\u306e\u592a\u3055\u3068\u8272 *\/<\/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\">red<\/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 \">\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-4511\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot02.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/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<h2 id=\"\u9670\u95a2\u6570\u306e\u30b0\u30e9\u30d5\">\u9670\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/h2>\n<p>\u4f8b\u3068\u3057\u3066\uff0c$x^2 + y^2 = 1$ \u306e\u30af\u3099\u30e9\u30d5\u3092\u63cf\u304d\u307e\u3059\u3002$y$ \u306b\u3064\u3044\u3066\u89e3\u3044\u3066\u967d\u95a2\u6570\u306e\u5f62\u306b\u3057\u305f\u308a\uff0c\u4ee5\u4e0b\u3067\u8ff0\u3079\u308b\u3088\u3046\u306a\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306b\u3057\u306a\u304f\u3066\u3082\uff0c\u9670\u95a2\u6570\u306e\u307e\u307e\uff0c\u30b0\u30e9\u30d5\u306b\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/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-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span>, 1<span class=\"o\">.<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span>, 1<span class=\"o\">.<\/span>2<span class=\"p\">])<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-4512\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot03.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u8a2d\u5b9a\u4f8b *\/<\/span>\r\n<span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"nv\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span>, \r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span>, 1<span class=\"o\">.<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span>, 1<span class=\"o\">.<\/span>2<span class=\"p\">]<\/span>, \r\n\r\n  <span class=\"cm\">\/* \u7e26\u6a2a\u6bd4 [same_xy] \u307e\u305f\u306f... *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">yx_ratio<\/span>, 1<span class=\"p\">]<\/span>\r\n<span class=\"p\">)<\/span>$\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_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-4513\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot04.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/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<h2 id=\"\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306e\u30b0\u30e9\u30d5\">\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306e\u30b0\u30e9\u30d5<\/h2>\n<p>\u534a\u5f84 $1$ \u306e\u5186\u306e\u65b9\u7a0b\u5f0f\u306f $x^2 +y^2 = 1$ \u3066\u3099\u3059\u3002\u3053\u306e\u5186\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306b\u3057\u3066\u63cf\u304d\u307e\u3059\u3002<\/p>\n<p>$$ x=\\cos t, \\quad y=\\sin t \\quad (0 \\leq t \\leq 2\\pi) $$<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[9]:<\/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><span class=\"nv\">parametric<\/span>, <span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">t<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/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-4514\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot05.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u8a2d\u5b9a\u4f8b *\/<\/span>\r\n<span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">parametric<\/span>, <span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">t<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u7e26\u6a2a\u6bd4 [yx_ratio, 1] \u307e\u305f\u306f... *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">same_xy<\/span><span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span>, 1<span class=\"o\">.<\/span>1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mf\">1.1<\/span>, 1<span class=\"o\">.<\/span>1<span class=\"p\">]<\/span>, \r\n  <span class=\"cm\">\/* \u6a2a\u8ef8\u30fb\u7e26\u8ef8\u306e\u30e9\u30d9\u30eb *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">xlabel<\/span>, <span class=\"s\">\"\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">ylabel<\/span>, <span class=\"s\">\"\"<\/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 \">\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-4515\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot06.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/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<h2 id=\"\u70b9\u30fb\u6570\u5024\u30c6\u3099\u30fc\u30bf\u306e\u30af\u3099\u30e9\u30d5\">\u70b9\u30fb\u6570\u5024\u30c6\u3099\u30fc\u30bf\u306e\u30af\u3099\u30e9\u30d5<\/h2>\n<p>\u4ee5\u4e0b\u306e\u4f8b\u3066\u3099\u306f\uff0c\u6700\u521d\uff08\u5de6\u5074\uff09\u306e\u6570\u5024\u3092 $x$ \u5ea7\u6a19\u306e\u5024\uff0c\u6b21\uff08\u53f3\u5074\uff09\u306e\u6570\u5024\u3092 $y$ \u5ea7\u6a19\u306e\u5024\u3068\u3057\u3066 6 \u500b\u306e\u70b9 \u304b\u3089\u306a\u308b\u30ea\u30b9\u30c8 <code>data<\/code> \u306e\u5404\u70b9\u3092\u3064\u306a\u3044\u305f\u3099\u6298\u308c\u7dda\u30af\u3099\u30e9\u30d5\u3092\u63cf\u304d\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[13]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">data<\/span><span class=\"o\">:<\/span> <span class=\"nf\">makelist<\/span><span class=\"p\">([<\/span><span class=\"nv\">i<\/span>, <span class=\"nv\">i<\/span><span class=\"o\">^<\/span>2<span class=\"p\">]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">0<\/span>, <span class=\"mi\">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 output_prompt\">Out[13]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{13}$}\\left[ \\left[ 0 , 0 \\right] , \\left[ 1 , 1 \\right] , \\left[ 2 , 4 \\right] , \\left[ 3 , 9 \\right] , \\left[ 4 , 16 \\right] , \\left[ 5 , 25 \\right] \\right] \\]<\/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[14]:<\/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><span class=\"nv\">discrete<\/span>, <span class=\"nv\">data<\/span><span class=\"p\">])<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/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-4516\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot07.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u30aa\u30d5\u309a\u30b7\u30e7\u30f3\u3092\u8a2d\u5b9a\u3057\u3066\uff0c\u5404\u70b9\u3092\u7dda\u3067\u3064\u306a\u304c\u305a\u306b\u30d5\u309a\u30ed\u30c3\u30c8\u3059\u308b\u4f8b\u3002<\/p>\n<p>\u3053\u3053\u3066\u3099\u306f\uff0c<code>[style, points]<\/code>\u3092\u8a2d\u5b9a\u3057\u3066\u7dda\u3066\u3099\u3064\u306a\u304b\u3099\u3059\u3099\u306b\u70b9\u3066\u3099\u63cf\u304d\u307e\u3059\u3002\u30d5\u309a\u30ed\u30c3\u30c8\u30aa\u30d5\u309a\u30b7\u30e7\u30f3\u306e <code>style<\/code> \u306b\u306f\uff0c<code>points<\/code> \u306e\u4ed6\u306b\u3082\uff0c<code>lines<\/code>\uff0c<code>linespoints<\/code>\uff0c <code>dots<\/code> \u304b\u3099\u8a2d\u5b9a\u3066\u3099\u304d\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[16]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u8a2d\u5b9a\u4f8b *\/<\/span>\r\n<span class=\"nf\">plot2d<\/span><span class=\"p\">(<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">discrete<\/span>, <span class=\"nv\">data<\/span><span class=\"p\">]<\/span>, \r\n  \r\n  <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"mi\">0<\/span>, 5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"mi\">0<\/span>, 28<span class=\"p\">]<\/span>,\r\n  <span class=\"cm\">\/* \u70b9\u3068\u5927\u304d\u3055 *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">style<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">points<\/span>, 2<span class=\"p\">]]<\/span>, \r\n  <span class=\"cm\">\/* \u8272 blue, red, green, magenta, black, cyan \u304b\u3089 *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">color<\/span>, <span class=\"nv\">red<\/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 \">\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-4518\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot8.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/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<h2 id=\"\u8907\u6570\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u8868\u793a\">\u8907\u6570\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u8868\u793a<\/h2>\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>Maxima \u3066\u3099\u8907\u6570\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u8868\u793a\u3059\u308b\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>$y = x^2 &#8211; 1$ \u3068 $y = 4 x &#8211; 5$ \u306e 2 \u3064\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u63cf\u304d\u307e\u3059\u3002<\/p>\n<p>$x$ \u306e\u7bc4\u56f2\u306f $-5 \\leq x \\leq 5$ \u3066\u3099\u3059\u3002<br \/>\n\u4ee5\u4e0b\u306e\u4f8b\u3066\u3099\u308f\u304b\u308b\u3088\u3046\u306b\uff0c\u91cd\u306d\u3066\u63cf\u304d\u305f\u3044\u95a2\u6570\u3092 <code>[x^2 - 1, 4*x - 5]<\/code> \u306e\u3088\u3046\u306b <code>[<\/code> \u3068 <code>]<\/code> \u3066\u3099\u56f2\u3093\u305f\u3099\u30ea\u30b9\u30c8\u5f62\u5f0f\u306b\u3057\u3066 <code>plot2d<\/code> \u30b3\u30de\u30f3\u30c8\u3099\u3092\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[18]:<\/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><span class=\"nv\">x<\/span><span class=\"o\">^<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>, 4<span class=\"o\">*<\/span><span class=\"nv\">x<\/span> <span class=\"o\">-<\/span> 5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<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-4517\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot08.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3044\u304f\u3064\u304b\u30aa\u30d5\u309a\u30b7\u30e7\u30f3\u3092\u8a2d\u5b9a\u3057\u3066\u63cf\u304f\u4f8b\u3066\u3099\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[20]:<\/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=\"p\">[<\/span><span class=\"nv\">x<\/span><span class=\"o\">^<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>, 4<span class=\"o\">*<\/span><span class=\"nv\">x<\/span> <span class=\"o\">-<\/span> 5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 5<span class=\"p\">]<\/span>,\r\n\r\n  <span class=\"cm\">\/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 10<span class=\"p\">]<\/span>,\r\n  <span class=\"cm\">\/* \u7dda\u306e\u8272\u306e\u8a2d\u5b9a *\/<\/span> \r\n  <span class=\"p\">[<\/span><span class=\"nv\">color<\/span>, <span class=\"nv\">red<\/span>, <span class=\"nv\">black<\/span><span class=\"p\">]<\/span>,   \r\n  <span class=\"cm\">\/* \u7dda\u306e\u592a\u3055\u306e\u8a2d\u5b9a\u3002\u6700\u521d\u306e\u7dda\u306e\u592a\u3055\u3092 3 \u306b *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">style<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">lines<\/span>, 3<span class=\"p\">]<\/span>, <span class=\"nv\">lines<\/span><span class=\"p\">]<\/span>,    \r\n  <span class=\"cm\">\/* \u51e1\u4f8b\u306e\u4f4d\u7f6e\u3002\u30b0\u30e9\u30d5\u306e\u7dda\u3068\u304b\u3076\u3089\u306a\u3044\u3088\u3046\u306b *\/<\/span>\r\n  <span class=\"p\">[<\/span><span class=\"nv\">gnuplot_preamble<\/span>, <span class=\"s\">\"set key bottom\"<\/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 \">\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-4522\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot09.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u4e0a\u306e\u30af\u3099\u30e9\u30d5\u3092\u307f\u308b\u3068\uff0c2 \u3064\u306e\u30af\u3099\u30e9\u30d5\u306f 1 \u70b9\u3066\u3099\u63a5\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002<\/p>\n<p>\u5b9f\u969b\u306b $y = 4x &#8211; 5$ \u304b\u3099\u63a5\u7dda\u3066\u3099\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>$x^2 &#8211; 1 = 4 x &#8211; 5$ \u306e\u89e3\u304c1\u3064\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u305b\u3070\u5341\u5206\u3067\u3059\u306d\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[22]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">sol<\/span><span class=\"o\">:<\/span> <span class=\"nf\">solve<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"o\">^<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span> <span class=\"o\">=<\/span> 4<span class=\"o\">*<\/span><span class=\"nv\">x<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">5<\/span>, <span class=\"nv\">x<\/span><span class=\"p\">)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[22]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{22}$}\\left[ x=2 \\right] \\]<\/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>$y = f(x)$ \u306e $x = x_1$ \u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\uff0c<br \/>\n$$ y &#8211; f(x_1) = f'(x_1) \\,(x &#8211; x_1)$$ \u3067\u3059\u304b\u3089&#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[23]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">x<\/span><span class=\"o\">^<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>;\r\n<span class=\"nf\">define<\/span><span class=\"p\">(<\/span><span class=\"nf\">df<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">diff<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span><span class=\"p\">))<\/span>;\r\n\r\n<span class=\"nv\">x1<\/span><span class=\"o\">:<\/span> <span class=\"nf\">rhs<\/span><span class=\"p\">(<\/span><span class=\"nv\">sol<\/span><span class=\"p\">[<\/span>1<span class=\"p\">])<\/span>;\r\n<span class=\"nv\">y<\/span> <span class=\"o\">=<\/span> <span class=\"nf\">df<\/span><span class=\"p\">(<\/span><span class=\"nv\">x1<\/span><span class=\"p\">)<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"nv\">x<\/span> <span class=\"o\">-<\/span> <span class=\"nv\">x1<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x1<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">ratsimp<\/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[23]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{23}$}f\\left(x\\right):=x^2-1\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[23]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{24}$}{\\it df}\\left(x\\right):=2\\,x\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[23]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{25}$}2\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[23]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{26}$}y=4\\,x-5\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u7df4\u7fd2-3-1\">\u7df4\u7fd2 3-1<\/h3>\n<p>$y = f(x) = x^2 -1$ \u306e $x = 1$ \u306b\u304a\u3051\u308b\u63a5\u7dda\uff0c\u304a\u3088\u3073 $ x = 3$ \u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\uff0c\u3053\u308c\u30893\u672c\u306e\u7dda\u3092\u30b0\u30e9\u30d5\u306b\u63cf\u3051\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[24]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">x<\/span><span class=\"o\">^<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>;\r\n<span class=\"nf\">define<\/span><span class=\"p\">(<\/span><span class=\"nf\">df<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">diff<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">x<\/span><span class=\"p\">))<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[24]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{27}$}f\\left(x\\right):=x^2-1\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[24]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{28}$}{\\it df}\\left(x\\right):=2\\,x\\]<\/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>$y = f(x)$ \u306e $x = x_1$ \u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\uff0c<br \/>\n$$ y &#8211; f(x_1) = f'(x_1) \\,(x &#8211; x_1)$$ \u3067\u3059\u304b\u3089&#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[\u00a0]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[\u00a0]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><\/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<h2 id=\"\u6570\u5024\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u3080\">\u6570\u5024\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u3080<\/h2>\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>Maxima \u3066\u3099\u306f\uff0c\u3042\u3089\u304b\u3057\u3099\u3081\u4f5c\u6210\u3055\u308c\u305f\u6570\u5024\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u3093\u3066\u3099\u30af\u3099\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u3082\u3066\u3099\u304d\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5185\u5bb9\u306e\u30d5\u30a1\u30a4\u30eb <code>test.dat<\/code> \u304c\u30ab\u30ec\u30f3\u30c8\u30c6\u3099\u30a3\u30ec\u30af\u30c8\u30ea\u306b\u3042\u308b\u3068\u3057\u307e\u3059\u3002\uff08\u306a\u3044\u5834\u5408\u306f\uff0c\u5f18\u5927 JupyterHub \u306e Home \u3067\u300c\u65b0\u898f\u300d\u304b\u3089\u300c\u30c6\u30ad\u30b9\u30c8\u30d5\u30a1\u30a4\u30eb\u300d\u3092\u9078\u629e\u3057\uff0c\u4ee5\u4e0b\u306e\u6570\u5024\u3092\u30b3\u30d4\u30da\u3057\uff0c\u300ctest.dat\u300d\u306b\u30ea\u30cd\u30fc\u30e0\u3057\uff0c\u4fdd\u5b58\u3057\u3066\u304f\u3060\u3055\u3044\u3002\uff09<\/p>\n<pre><code>0   0\r\n1   1\r\n2   4\r\n3   9\r\n4   16\r\n5   25\r\n\r\n<\/code><\/pre>\n<p>\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u3080 Maxima \u306e\u95a2\u6570\u306f\uff0c<code>read_nested_list<\/code> \u3092\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[25]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">dat<\/span><span class=\"o\">:<\/span> <span class=\"nf\">read_nested_list<\/span><span class=\"p\">(<\/span><span class=\"s\">\"test.dat\"<\/span><span class=\"p\">)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[25]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{29}$}\\left[ \\left[ 0 , 0 \\right] , \\left[ 1 , 1 \\right] , \\left[ 2 , 4 \\right] , \\left[ 3 , 9 \\right] , \\left[ 4 , 16 \\right] , \\left[ 5 , 25 \\right] \\right] \\]<\/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>\u30ea\u30b9\u30c8 <code>dat<\/code> \u306b\u8aad\u307f\u8fbc\u3093\u3060\u6570\u5024\u30c7\u30fc\u30bf\u3092 <code>plot2d()<\/code> \u3067\u30b0\u30e9\u30d5\u306b\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[26]:<\/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><span class=\"nv\">discrete<\/span>, <span class=\"nv\">dat<\/span><span class=\"p\">]<\/span>,\r\n       <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"mi\">0<\/span>, 6<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"mi\">0<\/span>, 28<span class=\"p\">]<\/span>,        <span class=\"cm\">\/* x, y \u306e\u8868\u793a\u7bc4\u56f2\u3092\u8a2d\u5b9a *\/<\/span> \r\n       <span class=\"p\">[<\/span><span class=\"nv\">style<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">points<\/span>, 1<span class=\"p\">]]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">color<\/span>, <span class=\"nv\">red<\/span><span class=\"p\">]<\/span>,      <span class=\"cm\">\/* \u5927\u304d\u3055\uff0c\u8272 *\/<\/span>\r\n       <span class=\"p\">[<\/span><span class=\"nv\">gnuplot_preamble<\/span>, <span class=\"s\">\"set key top left\"<\/span><span class=\"p\">]<\/span>,  <span class=\"cm\">\/* \u51e1\u4f8b\u306e\u4f4d\u7f6e *\/<\/span> \r\n       <span class=\"p\">[<\/span><span class=\"nv\">legend<\/span>, <span class=\"s\">\"\u30c7\u30fc\u30bf\"<\/span><span class=\"p\">]<\/span>                   <span class=\"cm\">\/* \u51e1\u4f8b\u8868\u793a\u306e\u8a2d\u5b9a *\/<\/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 \">\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-4523\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot10.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/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<h2 id=\"\u6570\u5024\u30c6\u3099\u30fc\u30bf\u3068\u7406\u8ad6\u66f2\u7dda\u3092\u91cd\u306d\u3066\u8868\u793a\">\u6570\u5024\u30c6\u3099\u30fc\u30bf\u3068\u7406\u8ad6\u66f2\u7dda\u3092\u91cd\u306d\u3066\u8868\u793a<\/h2>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u524d\u7bc0\u306e\u6570\u5024\u30c6\u3099\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb <code>test.dat<\/code> \u3068\u7406\u8ad6\u66f2\u7dda $y = x^2$ \u306e 2 \u3064\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u8868\u793a\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[28]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u3082\u3046\u5c11\u3057\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u6307\u5b9a\u3057\u3066\u63cf\u304f *\/<\/span>\r\n<span class=\"nf\">plot2d<\/span><span class=\"p\">([[<\/span><span class=\"nv\">discrete<\/span>, <span class=\"nv\">dat<\/span><span class=\"p\">]<\/span>, <span class=\"nv\">x<\/span><span class=\"o\">**<\/span>2<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"mi\">0<\/span>, 5<span class=\"p\">]<\/span>, \r\n       <span class=\"p\">[<\/span><span class=\"nv\">style<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">points<\/span>, 1<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, <span class=\"nv\">lines<\/span><span class=\"p\">]<\/span>, \r\n       <span class=\"p\">[<\/span><span class=\"nv\">gnuplot_preamble<\/span>, <span class=\"s\">\"set key top left\"<\/span><span class=\"p\">]<\/span>, \r\n       <span class=\"p\">[<\/span><span class=\"nv\">legend<\/span>, <span class=\"s\">\"\u30c7\u30fc\u30bf\"<\/span>, <span class=\"s\">\"\u7406\u8ad6\u66f2\u7dda y=x^2\"<\/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 \">\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-4524\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot11.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u7df4\u7fd2-3-2\">\u7df4\u7fd2 3-2<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p><strong>\u6955\u5186\u306e\u30af\u3099\u30e9\u30d5\uff08\u6955\u5186\u4e2d\u5fc3\u3092\u539f\u70b9\u306b\u3057\u3066\uff09<\/strong><\/p>\n<p>\u5a92\u4ecb\u5909\u6570\u8868\u793a\u306e\u30b0\u30e9\u30d5\u3092\u8907\u6570\u91cd\u306d\u3066\u8868\u793a\u3059\u308b\u4f8b\u3067\u3059\u3002<\/p>\n<p>\u539f\u70b9\u3092\u4e2d\u5fc3\u3068\u3057\uff0c\u9577\u534a\u5f84 $a$\uff0c\u5358\u534a\u5f84 $b$ \u306e\u6955\u5186\u306e\u5f0f\u306f<\/p>\n<p>$$\\frac{x^2}{a^2} + \\frac{y^2}{b^2} = 1$$<\/p>\n<p>\u5a92\u4ecb\u5909\u6570\u8868\u793a\u3066\u3099\u306f\uff0c$x=a \\cos t, \\ y=b \\sin t, \\ (0\\leq t\\leq 2\\pi)$\u3068\u66f8\u3051\u307e\u3059\u3002<br \/>\n$a$\uff0c$b$ \u306b\u9069\u5f53\u306a\u5024\u3092\u5165\u308c\u3066\u8907\u6570\u306e\u6955\u5186\u306e\u30af\u3099\u30e9\u30d5\u3092\u91cd\u306d\u3066\u63cf\u304d\u306a\u3055\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[30]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u30d2\u30f3\u30c8\uff1a\u5a92\u4ecb\u5909\u6570 t \u8868\u793a\u306e x, y \u3092\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9 *\/<\/span>\r\n<span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"nv\">a<\/span>, <span class=\"nv\">t<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">a<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">t<\/span><span class=\"p\">)<\/span>$\r\n<span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"nv\">b<\/span>, <span class=\"nv\">t<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">b<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">t<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[\u00a0]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><\/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>2\u3064\u306e\u6955\u5186\u306e\u30b0\u30e9\u30d5\u3092\u91cd\u306d\u3066\u63cf\u304f\u5834\u5408\u306f\uff0c<\/p>\n<div class=\"highlight\">\n<pre><span class=\"p\">[<\/span><span class=\"nv\">parametric<\/span>, <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span>,<span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span>,<span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">t<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>\r\n`\r\n<\/pre>\n<\/div>\n<p>\u306e\u90e8\u5206\u3092\uff0c\u4f8b\u3048\u3070 $a = 2, b = 1$ \u306e\u6955\u5186\u3068 $a = 1, b = 1.5$ \u306e\u6955\u5186\u3068\u3057\u3066<\/p>\n<div class=\"highlight\">\n<pre><span class=\"p\">[[<\/span><span class=\"nv\">parametric<\/span>, <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span>,<span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span>,<span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">t<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>, \r\n <span class=\"p\">[<\/span><span class=\"nv\">parametric<\/span>, <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span>,<span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"mf\">1.5<\/span>,<span class=\"nv\">t<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">t<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>\r\n<span class=\"p\">]<\/span>\r\n<\/pre>\n<\/div>\n<p>\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[\u00a0]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><\/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<h2 id=\"\u6d77\u738b\u661f\u3068\u51a5\u738b\u661f\u306e\u8ecc\u9053\">\u6d77\u738b\u661f\u3068\u51a5\u738b\u661f\u306e\u8ecc\u9053<\/h2>\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=\"\u7126\u70b9\u3092\u539f\u70b9\u3068\u3057\u305f\u6955\u5186\u306e\u30af\u3099\u30e9\u30d5\">\u7126\u70b9\u3092\u539f\u70b9\u3068\u3057\u305f\u6955\u5186\u306e\u30af\u3099\u30e9\u30d5<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u592a\u967d\u304b\u3089\u306e\u4e07\u6709\u5f15\u529b\u3092\u53d7\u3051\u3066\u904b\u52d5\u3059\u308b\u60d1\u661f\u306f\uff0c\u592a\u967d\uff08\u4e8c\u4f53\u554f\u984c\u3066\u3099\u306f\u8cea\u91cf\u4e2d\u5fc3\uff09\u3092\u7126\u70b9\u306e\u4e00\u3064\u3068\u3057\u305f\u6955\u5186\u904b\u52d5\u3092\u63cf\u3044\u3066\u904b\u52d5\u3057\u307e\u3059\u3002<br \/>\n\u7126\u70b9\u306e\u4e00\u3064\u3092\u539f\u70b9\u3068\u3057\uff0c\u9577\u534a\u5f84 $a$\uff0c\u96e2\u5fc3\u7387 $e$ \u306e\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\uff0c\u6975\u5ea7\u6a19 $r$\uff0c$\\varphi$ \u3092\u4f7f\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304b\u3099\u3066\u3099\u304d\u307e\u3059\u3002<\/p>\n<p>$$ r= \\frac{a (1\u2212e^2)}{ 1 + e\\cos\\varphi}$$<\/p>\n<p>\u3055\u3066\uff0c\u304b\u3064\u3066\u306f\u7b2c9\u60d1\u661f\uff0c\u73fe\u5728\u3067\u306f\u6e96\u60d1\u661f\u306e\u4e00\u3064\u3067\u3042\u308b\u51a5\u738b\u661f\u3082\u6955\u5186\u8ecc\u9053\u3092\u63cf\u304d\u307e\u3059\u3002\u51a5\u738b\u661f\u306e\u8ecc\u9053\u9577\u534a\u5f84 $\ud835\udc4e_P=39.445 \\mbox{au}$\uff0c\u96e2\u5fc3\u7387 $\ud835\udc52_P=0.250$<br \/>\n\u3092\u4f7f\u3063\u3066\u51a5\u738b\u661f\u306e\u8ecc\u9053\u3092\u63cf\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E5%86%A5%E7%8E%8B%E6%98%9F\">\u51a5\u738b\u661f &#8211; Wikipedia<\/a><\/li>\n<\/ul>\n<p>\u307e\u305a\uff0c\u6975\u5ea7\u6a19\u8868\u793a\u306e\u6955\u5186\u306e\u5f0f\u3092\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[31]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">a<\/span>, <span class=\"nv\">e<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">a<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span>1<span class=\"o\">-<\/span><span class=\"nv\">e<\/span><span class=\"o\">^<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span>1<span class=\"o\">+<\/span><span class=\"nv\">e<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">phi<\/span><span class=\"p\">))<\/span>;\r\n<span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"nv\">a<\/span>, <span class=\"nv\">e<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">a<\/span>, <span class=\"nv\">e<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>;\r\n<span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"nv\">a<\/span>, <span class=\"nv\">e<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">a<\/span>, <span class=\"nv\">e<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">phi<\/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[31]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{36}$}r\\left(a , e , \\varphi\\right):=\\frac{a\\,\\left(1-e^2\\right)}{1+e\\,\\cos \\varphi}\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[31]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{37}$}x\\left(a , e , \\varphi\\right):=r\\left(a , e , \\varphi\\right)\\,\\cos \\varphi\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[31]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{38}$}y\\left(a , e , \\varphi\\right):=r\\left(a , e , \\varphi\\right)\\,\\sin \\varphi\\]<\/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>\u51a5\u738b\u661f\u306e\u8ecc\u9053\u9577\u534a\u5f84\u3068\u96e2\u5fc3\u7387\uff1a<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[32]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">aP<\/span><span class=\"o\">:<\/span> 39<span class=\"o\">.<\/span>445$\r\n<span class=\"nv\">eP<\/span><span class=\"o\">:<\/span> 0<span class=\"o\">.<\/span>250$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[33]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">([<\/span><span class=\"nv\">parametric<\/span>, <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"nv\">aP<\/span>, <span class=\"nv\">eP<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"nv\">aP<\/span>, <span class=\"nv\">eP<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">phi<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">yx_ratio<\/span>, 1<span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">xlabel<\/span>, <span class=\"s\">\"x\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">ylabel<\/span>, <span class=\"s\">\"y\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">legend<\/span>, <span class=\"s\">\"\u51a5\u738b\u661f\"<\/span><span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>,<span class=\"o\">-<\/span><span class=\"mi\">50<\/span>, 50<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">50<\/span>, 50<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 \">\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-4525\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot12.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3067\u306f\uff0c\u3053\u306e\u51a5\u738b\u661f\u306e\u8ecc\u9053\u3068\uff0c\u305d\u306e\u5185\u5074\u3092\u307e\u308f\u308b\u6d77\u738b\u661f\u306e\u8ecc\u9053\u3092\u91cd\u306d\u3066\u63cf\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6d77\u738b\u661f\u306e\u8ecc\u9053\u9577\u534a\u5f84\u306f $a_N=30.181 \\mbox{au}$\uff0c\u96e2\u5fc3\u7387\u306f $e_N=0.0097$ \u3068\u5c0f\u3055\u3044\u306e\u3067\u7c21\u5358\u306e\u305f\u3081\u306b $e_N=0$ \u3068\u3057\u3066\u6271\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E6%B5%B7%E7%8E%8B%E6%98%9F\">\u6d77\u738b\u661f &#8211; Wikipedia<\/a><\/li>\n<\/ul>\n<p>\u5b9f\u969b\u306e2\u3064\u306e\u5929\u4f53\u306e\u8ecc\u9053\u306f\u540c\u3058\u5e73\u9762\u4e0a\u306b\u3042\u308a\u307e\u305b\u3093\u304c\uff0c\u592a\u967d\u304b\u3089\u306e\u8ddd\u96e2\u306e\u307f\u3092\u307f\u308b\u305f\u3081\u306b\uff0c\u3053\u3053\u3067\u306f\u540c\u4e00\u5e73\u9762\u4e0a\u306b\u63cf\u304d\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[35]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">aN<\/span><span class=\"o\">:<\/span> 30<span class=\"o\">.<\/span>181$\r\n<span class=\"nv\">eN<\/span><span class=\"o\">:<\/span> 0$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[36]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">([[<\/span><span class=\"nv\">parametric<\/span>, <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"nv\">aP<\/span>, <span class=\"nv\">eP<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"nv\">aP<\/span>, <span class=\"nv\">eP<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">phi<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">parametric<\/span>, <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"nv\">aN<\/span>, <span class=\"nv\">eN<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"nv\">aN<\/span>, <span class=\"nv\">eN<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">phi<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>\r\n       <span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">yx_ratio<\/span>, 1<span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">xlabel<\/span>, <span class=\"s\">\"x\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">ylabel<\/span>, <span class=\"s\">\"y\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">legend<\/span>, <span class=\"s\">\"\u51a5\u738b\u661f\"<\/span>, <span class=\"s\">\"\u6d77\u738b\u661f\"<\/span><span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>,<span class=\"o\">-<\/span><span class=\"mi\">50<\/span>, 50<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">50<\/span>, 50<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 \">\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-4526\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot13.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3055\u3066\uff0c\u3053\u306e\u51a5\u738b\u661f\u3068\u6d77\u738b\u661f\u306e\u8ecc\u9053\u306e\u30b0\u30e9\u30d5\u3092\u3044\u308b\u3068\uff0c\u8ecc\u9053\u304c\u4ea4\u5dee\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002\u3053\u306e\u3053\u3068\u3092\u78ba\u304b\u3081\u307e\u3059\u3002<\/p>\n<p>\u8868\u793a\u3055\u308c\u308b\u9818\u57df\u3092\u5236\u9650\u3057\u3066\uff0c\u4ea4\u5dee\u3057\u3066\u3044\u308b\u3042\u305f\u308a\u3092\u62e1\u5927\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[38]:<\/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><span class=\"nv\">parametric<\/span>, <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"nv\">aP<\/span>, <span class=\"nv\">eP<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"nv\">aP<\/span>, <span class=\"nv\">eP<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">phi<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">parametric<\/span>, <span class=\"nf\">x<\/span><span class=\"p\">(<\/span><span class=\"nv\">aN<\/span>, <span class=\"nv\">eN<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"nf\">y<\/span><span class=\"p\">(<\/span><span class=\"nv\">aN<\/span>, <span class=\"nv\">eN<\/span>, <span class=\"nv\">phi<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">phi<\/span>, <span class=\"mi\">0<\/span>, 2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">]]<\/span>\r\n       <span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">yx_ratio<\/span>, 1<span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">xlabel<\/span>, <span class=\"s\">\"x\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">ylabel<\/span>, <span class=\"s\">\"y\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">legend<\/span>, <span class=\"s\">\"\u51a5\u738b\u661f\"<\/span>, <span class=\"s\">\"\u6d77\u738b\u661f\"<\/span><span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"mi\">26<\/span>, 28<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"mi\">12<\/span>, 14<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 \">\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-4527\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot14.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6d77\u738b\u661f\u306e\u8ecc\u9053\u306f\u534a\u5f84 $a_N$ \u306e\u5186\u3068\u3057\u3066\u3044\u307e\u3059\u304b\u3089\uff0c\u4ee5\u4e0b\u306e\u5f0f\u3092\u6e80\u305f\u3059\u89d2\u5ea6 $\\varphi$<br \/>\n\u3092\u6c42\u3081\u308c\u3070\u3088\u3044\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>$$ r(a_P, e_P, \\varphi) = a_N$$<\/p>\n<p>$0 &lt; \\varphi &lt; \\pi\/2$<br \/>\n\u306e\u3069\u3053\u304b\u3067\u4ea4\u5dee\u3057\u3066\u3044\u308b\u3088\u3046\u3067\u3059\u304b\u3089\uff0c\u3053\u306e\u3042\u305f\u308a\u3067\u6570\u5024\u7684\u306b\u89e3\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u306f\u4ee5\u4e0b\u306e\u901a\u308a\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[40]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">phi1<\/span><span class=\"o\">:<\/span> <span class=\"nf\">find_root<\/span><span class=\"p\">(<\/span><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">aP<\/span>, <span class=\"nv\">eP<\/span>, <span class=\"nv\">t<\/span><span class=\"p\">)<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">aN<\/span>, <span class=\"nv\">t<\/span>, <span class=\"mi\">0<\/span>, <span class=\"nv\">%pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[40]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{49}$}0.4485997043415258\\]<\/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>$ -\\pi\/2 &lt; \\varphi &lt; 0$ \u306e\u7bc4\u56f2\u3066\u3099\u3082\u4ea4\u5dee\u3057\u3066\u3044\u307e\u3059\u306d\u3002<br \/>\n\u5bfe\u79f0\u6027\u304b\u3089\u7b54\u3048\u306f <code>phi1<\/code> \u306b\u8ca0\u53f7\u3092\u3064\u3051\u305f\u3082\u306e\u306b\u306a\u308b\u306e\u306f\u660e\u3089\u304b\u3066\u3099\u3059\u304b\u3099\uff0c\u5ff5\u306e\u305f\u3081\u306b\u78ba\u304b\u3081\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[41]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">phi2<\/span><span class=\"o\">:<\/span> <span class=\"nf\">find_root<\/span><span class=\"p\">(<\/span><span class=\"nf\">r<\/span><span class=\"p\">(<\/span><span class=\"nv\">aP<\/span>, <span class=\"nv\">eP<\/span>, <span class=\"nv\">t<\/span><span class=\"p\">)<\/span> <span class=\"o\">=<\/span> <span class=\"nv\">aN<\/span>, <span class=\"nv\">t<\/span>, <span class=\"o\">-<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">\/<\/span><span class=\"mi\">2<\/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[41]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{50}$}-0.4485997043415258\\]<\/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>\u6c42\u3081\u305f\u89d2\u5ea6\u306f\u30e9\u30b7\u3099\u30a2\u30f3\u5358\u4f4d\u3066\u3099\u3059\u304b\u3089\uff0c\u5ea6\u306b\u76f4\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[42]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">fpprintprec<\/span><span class=\"o\">:<\/span> 4$ <span class=\"cm\">\/* \u8868\u793a\u3059\u308b\u30b1\u30bf\u6570\u3092 4 \u306b *\/<\/span> \r\n<span class=\"nf\">float<\/span><span class=\"p\">(<\/span><span class=\"nv\">phi1<\/span><span class=\"o\">*<\/span>180<span class=\"o\">\/<\/span><span class=\"nv\">%pi<\/span><span class=\"p\">)<\/span>;\r\n<span class=\"nv\">%<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">2<\/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[42]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{52}$}25.7\\]<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[42]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{53}$}51.41\\]<\/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>\u3064\u307e\u308a\u4e00\u5468 360 \u5ea6\u306e\u3046\u3061\uff0c\u3053\u306e\u89d2\u5ea6\u306b\u3042\u305f\u308b\u5206\u306f\uff0c\u6d77\u738b\u661f\u306e\u307b\u3046\u304b\u3099\u51a5\u738b\u661f\u3088\u308a\u592a\u967d\u304b\u3089\u9060\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3053\u3068\u304b\u3099\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u539f\u70b9\u3068 2 \u3064\u306e\u8ecc\u9053\u306e\u4ea4\u70b9\u3092\u7d50\u3075\u3099\u76f4\u7dda\u3092\u63cf\u304f\u65b9\u6cd5\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3066\u3099\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[43]:<\/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><span class=\"nv\">discrete<\/span>, <span class=\"p\">[[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">aN<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">phi1<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">aN<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">phi1<\/span><span class=\"p\">)]]]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">discrete<\/span>, <span class=\"p\">[[<\/span><span class=\"mi\">0<\/span>, 0<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">aN<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span><span class=\"nv\">phi2<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">aN<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span><span class=\"nv\">phi2<\/span><span class=\"p\">)]]]<\/span>\r\n       <span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">yx_ratio<\/span>, 1<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>,<span class=\"o\">-<\/span><span class=\"mi\">50<\/span>, 50<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">50<\/span>, 50<span class=\"p\">]<\/span>, \r\n        <span class=\"p\">[<\/span><span class=\"nv\">xlabel<\/span>, <span class=\"s\">\"x\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">ylabel<\/span>, <span class=\"s\">\"y\"<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">legend<\/span>, <span class=\"s\">\"\"<\/span>, <span class=\"s\">\"\"<\/span><span class=\"p\">]<\/span>,\r\n        <span class=\"p\">[<\/span><span class=\"nv\">color<\/span>, <span class=\"nv\">black<\/span>, <span class=\"nv\">black<\/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 \">\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-4528\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot15.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u7df4\u7fd2-3-3\">\u7df4\u7fd2 3-3<\/h3>\n<p>\u539f\u70b9\u30682\u3064\u306e\u8ecc\u9053\u306e\u4ea4\u70b9\u3092\u7d50\u3076\u76f4\u7dda\u3092\u8ffd\u52a0\u3057\u3066\uff0c\u51a5\u738b\u661f\u3068\u6d77\u738b\u661f\u306e\u8ecc\u9053\u3092\u63cf\u3051\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[\u00a0]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><\/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<h2 id=\"\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u95a2\u6570\u30d5\u30a3\u30c3\u30c8\">\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u95a2\u6570\u30d5\u30a3\u30c3\u30c8<\/h2>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u5f18\u524d\u5e02\u306e\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u30c6\u3099\u30fc\u30bf\u3092\u4f7f\u3063\u3066\u30ea\u30b9\u30c8 <code>HiroT<\/code> \u3092\u4f5c\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/www.data.jma.go.jp\/obd\/stats\/etrn\/view\/nml_amd_ym.php?prec_no=31&amp;block_no=0166&amp;year=&amp;month=&amp;day=&amp;view=\">\u5f18\u524d\u3000\u5e73\u5e74\u5024\uff08\u5e74\u30fb\u6708\u3054\u3068\u306e\u5024\uff09\u3000\u4e3b\u306a\u8981\u7d20<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[45]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">HiroT<\/span><span class=\"o\">:<\/span> <span class=\"p\">[<\/span>\r\n<span class=\"p\">[<\/span><span class=\"mi\">1<\/span>, <span class=\"o\">-<\/span>1<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">2<\/span>, <span class=\"o\">-<\/span>1<span class=\"o\">.<\/span>0<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">3<\/span>, 2<span class=\"o\">.<\/span>3<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">4<\/span>, 8<span class=\"o\">.<\/span>6<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">5<\/span>, 14<span class=\"o\">.<\/span>3<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">6<\/span>, 18<span class=\"o\">.<\/span>3<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">7<\/span>, 22<span class=\"o\">.<\/span>3<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">8<\/span>, 23<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">9<\/span>, 19<span class=\"o\">.<\/span>4<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">10<\/span>, 12<span class=\"o\">.<\/span>9<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">11<\/span>, 6<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>,\r\n<span class=\"p\">[<\/span><span class=\"mi\">12<\/span>, 0<span class=\"o\">.<\/span>8<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 output_prompt\">Out[45]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{56}$}\\left[ \\left[ 1 , -1.5 \\right] , \\left[ 2 , -1.0 \\right] , \\left[ 3 , 2.3 \\right] , \\left[ 4 , 8.6 \\right] , \\left[ 5 , 14.3 \\right] , \\left[ 6 , 18.3 \\right] , \\left[ 7 , 22.3 \\right] , \\left[ 8 , 23.5 \\right] , \\left[ 9 , 19.4 \\right] , \\left[ 10 , 12.9 \\right] , \\left[ 11 , 6.5 \\right] , \\left[ 12 , 0.8 \\right] \\right] \\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3053\u306e\u30c6\u3099\u30fc\u30bf\u3092\u30af\u3099\u30e9\u30d5\u306b\u63cf\u3044\u3066\u307f\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[46]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">plot2d<\/span><span class=\"p\">([<\/span><span class=\"nv\">discrete<\/span>, <span class=\"nv\">HiroT<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">style<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">points<\/span>, 1<span class=\"p\">]])<\/span>$\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-4529\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot16.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[47]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\n<span class=\"nf\">system<\/span><span class=\"p\">(<\/span><span class=\"s\">\"cp ~\/.maxplot.svg .\/maxplot16.svg\"<\/span><span class=\"p\">)<\/span>$\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>\u30af\u3099\u30e9\u30d5\u3092\u898b\u308b\u3068\uff0c\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306f 12 \u30f6\u6708\u5468\u671f\u306e\u4e09\u89d2\u95a2\u6570\u3067\u30d5\u30a3\u30c3\u30c8\u3067\u304d\u308b\u3088\u3046\u306b\u307f\u3048\u307e\u3059\u3002<\/p>\n<p>\u3066\u3099\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u95a2\u6570\u30d5\u30a3\u30c3\u30c8\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u3059\u3099\uff0c\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306e\u30cf\u309a\u30c3\u30b1\u30fc\u30b7\u3099 <code>lsquares<\/code> \u3092\u30ed\u30fc\u30c8\u3099\u3057\u307e\u3059.\u3053\u308c\u306f <code>lsquares_estimates<\/code> \u3092 \u521d\u3081\u3066\u4f7f\u3046\u969b\uff0c\u6700\u521d\u306b 1 \u56de\u305f\u3099\u3051\u884c\u3048\u306f\u3099\u3088\u3044\u3066\u3099\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[48]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">load<\/span><span class=\"p\">(<\/span><span class=\"nv\">lsquares<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6b21\u306b\uff0c\u6b21\u306e\u3088\u3046\u306a\u95a2\u6570\u3092\u5b9a\u7fa9\u3057\u3066\uff0c\u3046\u307e\u304f\u30d5\u30a3\u30c3\u30c8\u3059\u308b\u3088\u3046\u306b\u5b9a\u6570 <code>a0, a1, b1<\/code> \u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[49]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span> <span class=\"o\">:=<\/span> <span class=\"nv\">a0<\/span><span class=\"o\">\/<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">a1<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">*<\/span><span class=\"nv\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">b1<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">*<\/span><span class=\"nv\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[49]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{60}$}f\\left(x\\right):=\\frac{a_{0}}{2}+a_{1}\\,\\cos \\left(\\frac{2\\,\\pi\\,x}{12}\\right)+b_{1}\\,\\sin \\left(\\frac{2\\,\\pi\\,x}{12}\\right)\\]<\/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\uff1a\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\">\u53c2\u8003\uff1a\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b<\/h3>\n<p>\u4e00\u822c\u306b\u5468\u671f $2L$ \u306e\u5468\u671f\u95a2\u6570\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u3067\u304d\u308b\u306e\u3067\u3042\u3063\u305f\u3002\u3057\u305f\u304c\u3063\u3066\uff0c\u3053\u3053\u3067\u3084\u3063\u3066\u3044\u308b\u3053\u3068\u306f\uff0c12\u30f6\u6708\u5206\u306e\u6708\u5e73\u5e74\u6c17\u6e29\u3068\u3044\u3046\u6570\u5024\u30c7\u30fc\u30bf\u306b\u5bfe\u3057\u3066\uff0c\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u307f\u305f\u3044\u306a\u3053\u3068\u3092\u6570\u5024\u7684\u306b\u884c\u3063\u3066\u3044\u308b\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<p>$$ f(x) = \\frac{a_0}{2} + \\sum_{n=1}^{\\infty} \\bigl( a_n \\cos \\left(n \\frac{\\pi}{L} {x}\\right) + b_n \\sin \\left(n\\frac{\\pi}{L} {x}\\right) \\bigr) $$<\/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>\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3092\u884c\u3046\u95a2\u6570 <code>lsquares_estimates<\/code> \u306b\u306f\u6570\u5024\u30c6\u3099\u30fc\u30bf\u3092<strong>\u884c\u5217<\/strong>\u3068\u3057\u3066\u5165\u308c\u3066\u3084\u308b\u5fc5\u8981\u304b\u3099\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u305f\u3081\u306b\u30ea\u30b9\u30c8 <code>HiroT<\/code> \u3092\u884c\u5217 <code>M<\/code> \u306b\u5909\u63db\u3057\u307e\u3059\u3002\uff08\u30ea\u30b9\u30c8\u3068\u884c\u5217\u3067\u306f\u8868\u793a\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u884c\u5217\u306f\u884c\u5217\u3089\u3057\u304f\u8868\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\uff09<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[50]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">M<\/span><span class=\"o\">:<\/span> <span class=\"nf\">apply<\/span><span class=\"p\">(<\/span><span class=\"o\">'<\/span><span class=\"nv\">matrix<\/span>, <span class=\"nv\">HiroT<\/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[50]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{61}$}\\begin{pmatrix}1 &amp; -1.5 \\\\ 2 &amp; -1.0 \\\\ 3 &amp; 2.3 \\\\ 4 &amp; 8.6 \\\\ 5 &amp; 14.3 \\\\ 6 &amp; 18.3 \\\\ 7 &amp; 22.3 \\\\ 8 &amp; 23.5 \\\\ 9 &amp; 19.4 \\\\ 10 &amp; 12.9 \\\\ 11 &amp; 6.5 \\\\ 12 &amp; 0.8 \\\\ \\end{pmatrix}\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[51]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u6709\u52b9\u6570\u5b57 3 \u6841\u3067\u3059\u304b\u3089... *\/<\/span>\r\n<span class=\"nv\">fpprintprec<\/span><span class=\"o\">:<\/span> 3$\r\n\r\n<span class=\"nf\">lsquares_estimates<\/span><span class=\"p\">(<\/span><span class=\"nv\">M<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"nv\">y<\/span><span class=\"p\">]<\/span>, <span class=\"nv\">y<\/span><span class=\"o\">=<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">a0<\/span>, <span class=\"nv\">a1<\/span>, <span class=\"nv\">b1<\/span><span class=\"p\">])<\/span>$\r\n<span class=\"nf\">float<\/span><span class=\"p\">(<\/span><span class=\"nv\">%<\/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[51]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{64}$}\\left[ \\left[ a_{0}=21.1 , a_{1}=-9.16 , b_{1}=-8.34 \\right] \\right] \\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306b\u3088\u3063\u3066\u6c42\u3081\u305f <code>a0, a1, b1<\/code> \u306e\u5024\u3092 <code>fit<\/code> \u306b\u4ee3\u5165\u3057\uff0c\u3053\u306e\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304d\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[52]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nv\">fit<\/span><span class=\"o\">:<\/span> <span class=\"nf\">ev<\/span><span class=\"p\">(<\/span><span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span>, <span class=\"nv\">%<\/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[52]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{65}$}-8.34\\,\\sin \\left(\\frac{\\pi\\,x}{6}\\right)-9.16\\,\\cos \\left(\\frac{\\pi\\,x}{6}\\right)+10.5\\]<\/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[53]:<\/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><span class=\"nv\">fit<\/span>, \r\n       <span class=\"p\">[<\/span><span class=\"nv\">x<\/span>, <span class=\"mf\">0.5<\/span>, 12<span class=\"o\">.<\/span>5<span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">y<\/span>, <span class=\"o\">-<\/span><span class=\"mi\">5<\/span>, 28<span class=\"p\">]<\/span>,\r\n       <span class=\"p\">[<\/span><span class=\"nv\">style<\/span>,<span class=\"nv\">lines<\/span><span class=\"p\">]<\/span>, <span class=\"p\">[<\/span><span class=\"nv\">color<\/span>, <span class=\"nv\">red<\/span><span class=\"p\">]<\/span>,\r\n       <span class=\"p\">[<\/span><span class=\"nv\">gnuplot_preamble<\/span>, <span class=\"s\">\"set xtics 1\"<\/span><span class=\"p\">]<\/span>,\r\n       <span class=\"p\">[<\/span><span class=\"nv\">xlabel<\/span>, <span class=\"s\">\"\u6708\"<\/span><span class=\"p\">]<\/span>, \r\n       <span class=\"p\">[<\/span><span class=\"nv\">ylabel<\/span>, <span class=\"s\">\"\u6708\u5225\u5e73\u5e74\u6c17\u6e29\"<\/span><span class=\"p\">]<\/span>, \r\n       <span class=\"p\">[<\/span><span class=\"nv\">title<\/span>, <span class=\"s\">\"\u5f18\u524d\u5e02\u306e\u6708\u5225\u5e73\u5e74\u6c17\u6e29\"<\/span><span class=\"p\">]<\/span>\r\n     <span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<p><!--?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-4530\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/maxplot17.svg\" alt=\"\" width=\"640\" height=\"512\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[54]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n<span class=\"cm\">   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n<span class=\"cm\">   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\n<span class=\"nf\">system<\/span><span class=\"p\">(<\/span><span class=\"s\">\"cp ~\/.maxplot.svg .\/maxplot17.svg\"<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u7df4\u7fd2-3-4\">\u7df4\u7fd2 3-4<\/h3>\n<ol>\n<li>\u30d5\u30a3\u30c3\u30c8\u3055\u305b\u308b\u95a2\u6570\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306a <code>g(x)<\/code> \u306b\u3057\uff0c\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3067\u6c42\u3081\u3066\u307f\u3088\u3002<\/li>\n<li>\u6708\u5225\u5e73\u5e74\u6c17\u6e29\u306e\u6570\u5024\u30c6\u3099\u30fc\u30bf\u3068\u30d5\u30a3\u30c3\u30c8\u66f2\u7dda\u306e\u30b0\u30e9\u30d5\u3092\u91cd\u306d\u3066\u63cf\u3051\u3002<\/li>\n<li>\u6708\u5e73\u5e74\u6c17\u6e29\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u3066\u307f\u3088\u3002\uff08g(x) \u306e\u5b9a\u6570\u90e8\u5206 a0\/2 \u304c\u5e73\u5747\u5024\u3002\uff09<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[55]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"nf\">g<\/span><span class=\"p\">(<\/span><span class=\"nv\">x<\/span><span class=\"p\">)<\/span><span class=\"o\">:=<\/span> <span class=\"nv\">a0<\/span><span class=\"o\">\/<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">a1<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">*<\/span><span class=\"nv\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">b1<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span>2<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">*<\/span><span class=\"nv\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span> \r\n            <span class=\"o\">+<\/span> <span class=\"nv\">a2<\/span><span class=\"o\">*<\/span><span class=\"nf\">cos<\/span><span class=\"p\">(<\/span>4<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">*<\/span><span class=\"nv\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"nv\">b2<\/span><span class=\"o\">*<\/span><span class=\"nf\">sin<\/span><span class=\"p\">(<\/span>4<span class=\"o\">*<\/span><span class=\"nv\">%pi<\/span><span class=\"o\">*<\/span><span class=\"nv\">x<\/span><span class=\"o\">\/<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[\u00a0]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><\/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>\u6708\u5e73\u5e74\u6c17\u6e29\u306e\u30c7\u30fc\u30bf\u3092\u5165\u308c\u305f\u30ea\u30b9\u30c8 <code>HiroT<\/code> \u3092\u4f7f\u3063\u3066\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[56]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* HiroT[i][2] \u304c i \u6708\u306e\u6c17\u6e29\u3060\u304b\u3089... *\/<\/span>\r\n<span class=\"nf\">sum<\/span><span class=\"p\">(<\/span><span class=\"nv\">HiroT<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span><span class=\"p\">][<\/span>2<span class=\"p\">]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"nf\">length<\/span><span class=\"p\">(<\/span><span class=\"nv\">HiroT<\/span><span class=\"p\">))<\/span><span class=\"o\">\/<\/span><span class=\"nf\">length<\/span><span class=\"p\">(<\/span><span class=\"nv\">HiroT<\/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[56]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{69}$}10.5\\]<\/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>\u6708\u5e73\u5e74\u6c17\u6e29\u306e\u30c7\u30fc\u30bf\u3092\u5165\u308c\u305f\u884c\u5217 <code>M<\/code> \u3092\u4f7f\u3063\u3066\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[57]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u884c\u5217 M \u306e2\u5217\u76ee\u306e\u6c17\u6e29\u3092\u53d6\u308a\u51fa\u3059 *\/<\/span>\r\n<span class=\"nf\">col<\/span><span class=\"p\">(<\/span><span class=\"nv\">M<\/span>, <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>;\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[57]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{70}$}\\begin{pmatrix}-1.5 \\\\ -1.0 \\\\ 2.3 \\\\ 8.6 \\\\ 14.3 \\\\ 18.3 \\\\ 22.3 \\\\ 23.5 \\\\ 19.4 \\\\ 12.9 \\\\ 6.5 \\\\ 0.8 \\\\ \\end{pmatrix}\\]<\/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[58]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-maxima\">\n<pre><span class=\"cm\">\/* \u884c\u5217 M \u306e i \u884c 2\u5217\u76ee\u304c i \u6708\u306e\u6c17\u6e29\u3060\u304b\u3089... *\/<\/span>\r\n<span class=\"nf\">sum<\/span><span class=\"p\">(<\/span><span class=\"nv\">M<\/span><span class=\"p\">[<\/span><span class=\"nv\">i<\/span>, 2<span class=\"p\">]<\/span>, <span class=\"nv\">i<\/span>, <span class=\"mi\">1<\/span>, <span class=\"nf\">length<\/span><span class=\"p\">(<\/span><span class=\"nv\">M<\/span><span class=\"p\">))<\/span><span class=\"o\">\/<\/span><span class=\"nf\">length<\/span><span class=\"p\">(<\/span><span class=\"nv\">M<\/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[58]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">\\[\\tag{${\\it \\%o}_{71}$}10.5\\]<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Maxima \u306e2\u6b21\u5143\u30b0\u30e9\u30d5\u4f5c\u6210\u306f draw2d() \u3067\u3082\u3067\u304d\u307e\u3059\u304c\uff0c\u3053\u3053\u3067\u306f\uff0cplot2d() \u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/%e5%8f%82%e8%80%83%ef%bc%9amaxima-%e7%b7%a8\/maxima-%e3%81%ab%e3%82%88%e3%82%8b%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e6%bc%94%e7%bf%92\/maxima-%e3%81%ab%e3%82%88%e3%82%8b%e3%82%af%e3%82%99%e3%83%a9%e3%83%95%e4%bd%9c%e6%88%90-plot2d-%e7%b7%a8\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":4506,"menu_order":10,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-4508","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/4508","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=4508"}],"version-history":[{"count":8,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/4508\/revisions"}],"predecessor-version":[{"id":4606,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/4508\/revisions\/4606"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/4506"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=4508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}