{"id":8610,"date":"2024-05-12T20:37:36","date_gmt":"2024-05-12T11:37:36","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=8610"},"modified":"2024-05-14T14:37:56","modified_gmt":"2024-05-14T05:37:56","slug":"matplotlib-%e3%81%a7%e3%83%95%e3%83%bc%e3%83%aa%e3%82%a8%e5%b1%95%e9%96%8b%e3%81%ae%e8%aa%ac%e6%98%8e%e7%94%a8%e3%81%ae%e5%9b%b3%e3%82%92%e6%8f%8f%e3%81%8f-2","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/8610\/","title":{"rendered":"Matplotlib \u3067\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u8aac\u660e\u7528\u306e\u56f3\u3092\u63cf\u304f"},"content":{"rendered":"<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u8aac\u660e\u7528\u306e\u56f3\u3092 Matplotlib \u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u3067\u4f7f\u3063\u3066\u3044\u308b\u306e\u3067\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6c\/%e3%83%95%e3%83%bc%e3%83%aa%e3%82%a8%e8%a7%a3%e6%9e%90\/%e3%83%95%e3%83%bc%e3%83%aa%e3%82%a8%e7%b4%9a%e6%95%b0\/%e5%91%a8%e6%9c%9f-2pi-%e3%81%ae%e3%83%95%e3%83%bc%e3%83%aa%e3%82%a8%e7%b4%9a%e6%95%b0%e5%b1%95%e9%96%8b%e3%81%ae%e4%be%8b\/\" target=\"_blank\" rel=\"noopener\">\u5468\u671f $2 \\pi$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u4f8b<\/a><\/li>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6c\/%e3%83%95%e3%83%bc%e3%83%aa%e3%82%a8%e8%a7%a3%e6%9e%90\/%e4%bb%bb%e6%84%8f%e3%81%ae%e5%91%a8%e6%9c%9f%e3%82%92%e3%82%82%e3%81%a4%e9%96%a2%e6%95%b0%e3%81%ae%e3%83%95%e3%83%bc%e3%83%aa%e3%82%a8%e7%b4%9a%e6%95%b0%e5%b1%95%e9%96%8b\/%e4%bb%bb%e6%84%8f%e5%91%a8%e6%9c%9f%e3%81%ae%e3%83%95%e3%83%bc%e3%83%aa%e3%82%a8%e7%b4%9a%e6%95%b0%e5%b1%95%e9%96%8b%e3%81%ae%e4%be%8b\/\" target=\"_blank\" rel=\"noopener\">\u4efb\u610f\u5468\u671f\u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u4f8b<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<p><!--more--><\/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-ipython3\">\n<pre><span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.pyplot<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">plt<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.patches<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">patches<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">numpy<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">np<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a<\/span>\r\n<span class=\"o\">%<\/span><span class=\"k\">config<\/span> InlineBackend.figure_formats = ['svg']\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s1\">'font.family'<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'serif'<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">rcParams<\/span><span class=\"p\">[<\/span><span class=\"s1\">'mathtext.fontset'<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'cm'<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u5468\u671f-$2-\\pi$-\u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u4f8b\">\u5468\u671f $2 \\pi$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u4f8b<\/h3>\n<h4 id=\"$--\\pi-\\leq-x-\\leq-\\pi$-\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u95a2\u6570-$f(x)-=-x^2$\">$ -\\pi \\leq x \\leq \\pi$ \u3067\u5b9a\u7fa9\u3055\u308c\u305f\u95a2\u6570 $f(x) = x^2$<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/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[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># f(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$f(x) = x^2 \\ \\ (-\\pi \\leq x \\leq \\pi)$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">)],<\/span> \r\n           <span class=\"p\">[<\/span><span class=\"s1\">'$-3\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-2 \\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$0$'<\/span><span class=\"p\">,<\/span>\r\n            <span class=\"s1\">'$\\pi$'<\/span><span class=\"p\">,<\/span>  <span class=\"s1\">'$2\\pi$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$3\\pi$'<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8586\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-fx1.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u533a\u9593\u5916\u3067\u306f\u5468\u671f-$2\\pi$-\u306e\u5468\u671f\u95a2\u6570\u306b\">\u533a\u9593\u5916\u3067\u306f\u5468\u671f $2\\pi$ \u306e\u5468\u671f\u95a2\u6570\u306b<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">L<\/span><span class=\"o\">=<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">x<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">L<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">floor<\/span><span class=\"p\">((<\/span><span class=\"n\">x<\/span><span class=\"o\">+<\/span><span class=\"n\">L<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">L<\/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[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># f(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">600<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u6307\u5b9a\u3057\u306a\u3051\u308c\u3070 L = np.pi<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u5468\u671f $2 \\pi$ \u306e\u5468\u671f\u95a2\u6570 $f(x)$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">)],<\/span> \r\n           <span class=\"p\">[<\/span><span class=\"s1\">'$-3\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-2 \\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$0$'<\/span><span class=\"p\">,<\/span>\r\n            <span class=\"s1\">'$\\pi$'<\/span><span class=\"p\">,<\/span>  <span class=\"s1\">'$2\\pi$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$3\\pi$'<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8587\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-fx2.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u30d5\u30fc\u30ea\u30a8\u4fc2\u6570\uff0c\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\">\u30d5\u30fc\u30ea\u30a8\u4fc2\u6570\uff0c\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">a<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mi\">4<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"n\">n<\/span><span class=\"o\">\/<\/span><span class=\"n\">n<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span>\r\n\r\n<span class=\"k\">def<\/span> <span class=\"nf\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">if<\/span> <span class=\"n\">n<\/span> <span class=\"o\">==<\/span><span class=\"mi\">1<\/span><span class=\"p\">:<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"o\">\/<\/span><span class=\"mi\">3<\/span> <span class=\"o\">+<\/span> <span class=\"n\">a<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"k\">else<\/span><span class=\"p\">:<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"n\">a<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"$n-=-10$-\u306e\u30b0\u30e9\u30d5\">$n = 10$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># f(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">600<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"$f(x)$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># Fourier(n, x)<\/span>\r\n<span class=\"n\">n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\r\n<span class=\"n\">Label<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s1\">'$'<\/span>\r\n<span class=\"n\">Title<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$f(x)$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b $n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s1\">'$'<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"n\">Label<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"n\">Title<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u5468\u671f $2 \\pi$ \u306e\u5468\u671f\u95a2\u6570 $f(x)$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">)],<\/span> \r\n           <span class=\"p\">[<\/span><span class=\"s1\">'$-3\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-2 \\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$0$'<\/span><span class=\"p\">,<\/span>\r\n            <span class=\"s1\">'$\\pi$'<\/span><span class=\"p\">,<\/span>  <span class=\"s1\">'$2\\pi$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$3\\pi$'<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">(<\/span><span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"n\">filename<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'fourier-fig'<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">zfill<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s1\">'.svg'<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">savefig<\/span><span class=\"p\">(<\/span><span class=\"n\">filename<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8590\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-fig10.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"$n=1$-\u304b\u3089-$n=5$-\u307e\u3067\u306e\u30b0\u30e9\u30d5\">$n=1$ \u304b\u3089 $n=5$ \u307e\u3067\u306e\u30b0\u30e9\u30d5<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">for<\/span> <span class=\"n\">n<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/span><span class=\"p\">])<\/span>\r\n    <span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u5468\u671f $2 \\pi$ \u306e\u5468\u671f\u95a2\u6570 $f(x)$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">)],<\/span> \r\n               <span class=\"p\">[<\/span><span class=\"s1\">'$-3\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-2 \\pi$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$-\\pi$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$0$'<\/span><span class=\"p\">,<\/span>\r\n                <span class=\"s1\">'$\\pi$'<\/span><span class=\"p\">,<\/span>  <span class=\"s1\">'$2\\pi$'<\/span><span class=\"p\">,<\/span>   <span class=\"s1\">'$3\\pi$'<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n\r\n    <span class=\"c1\"># f(x)<\/span>\r\n    <span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">600<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"$f(x)$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># Fourier(n, x)<\/span>\r\n    <span class=\"n\">Label<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s1\">'$'<\/span>\r\n    <span class=\"n\">Title<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$f(x)$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b $n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s1\">'$'<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"n\">Label<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"n\">Title<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">(<\/span><span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">);<\/span>\r\n\r\n    <span class=\"n\">filename<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'fourier-fig'<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">zfill<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s1\">'.svg'<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">savefig<\/span><span class=\"p\">(<\/span><span class=\"n\">filename<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8595\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-fig01.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8596\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-fig02.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8597\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-fig03.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8598\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-fig04.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8599\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-fig05.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\">\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"kn\">from<\/span> <span class=\"nn\">matplotlib.animation<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">FuncAnimation<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[10]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6\u3092\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">288<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># n=i+1 \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u3092\u63cf\u304f\u3088\u3046\u306b<\/span>\r\n<span class=\"c1\"># func \u3092\u5b9a\u7fa9<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">func<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u524d\u306e frame \u3092\u6d88\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/span><span class=\"p\">()<\/span>\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u5468\u671f $2 \\pi$ \u306e\u5468\u671f\u95a2\u6570 $f(x)$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span><span class=\"mi\">4<\/span><span class=\"p\">)],<\/span> \r\n               <span class=\"p\">[<\/span><span class=\"s1\">'$-3\\pi$'<\/span><span class=\"p\">,<\/span><span class=\"s1\">'$-2 \\pi$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$-\\pi$'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'$0$'<\/span><span class=\"p\">,<\/span>\r\n                <span class=\"s1\">'$\\pi$'<\/span><span class=\"p\">,<\/span>  <span class=\"s1\">'$2\\pi$'<\/span><span class=\"p\">,<\/span>   <span class=\"s1\">'$3\\pi$'<\/span><span class=\"p\">],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n\r\n    <span class=\"c1\"># f(x)<\/span>\r\n    <span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"mi\">600<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s2\">\"$f(x)$\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># Fourier(n, x)<\/span>\r\n    <span class=\"n\">Label<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s1\">'$'<\/span>\r\n    <span class=\"n\">Title<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$f(x)$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b $n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s1\">'$'<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"n\">Label<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"n\">Title<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">(<\/span><span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5909\u6570\u540d frames \u306f\u56fa\u5b9a\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\r\n<span class=\"n\">ani<\/span> <span class=\"o\">=<\/span> <span class=\"n\">FuncAnimation<\/span><span class=\"p\">(<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">func<\/span><span class=\"p\">,<\/span>  \r\n        <span class=\"c1\"># interval \u306f frame \u9593\u306e\u6642\u9593\u3092\u30df\u30ea\u79d2\u5358\u4f4d\u3067\u3002<\/span>\r\n        <span class=\"n\">interval<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1500<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u52d5\u753b\u3092 jupyterhub \u306e\u30db\u30fc\u30e0\u306b mp4 \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3002<\/span>\r\n<span class=\"n\">ani<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"Fourier-anim.mp4\"<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<div style=\"width: 750px;\" class=\"wp-video\"><!--[if lt IE 9]><script>document.createElement('video');<\/script><![endif]-->\n<video class=\"wp-video-shortcode\" id=\"video-8610-1\" width=\"750\" height=\"500\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Fourier-anim.mp4?_=1\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Fourier-anim.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/Fourier-anim.mp4<\/a><\/video><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u4efb\u610f\u5468\u671f\u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u4f8b\">\u4efb\u610f\u5468\u671f\u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u4f8b<\/h3>\n<h4 id=\"$-1-\\leq-x-\\leq-1$-\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u95a2\u6570-$f(x)-=-x$\">$-1 \\leq x \\leq 1$ \u3067\u5b9a\u7fa9\u3055\u308c\u305f\u95a2\u6570 $f(x) = x$<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[11]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">x<\/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[12]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># f(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">linspace<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">200<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.7<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$f(x) = x \\ \\ (-1 \\leq x \\leq 1)$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">)],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">savefig<\/span><span class=\"p\">(<\/span><span class=\"s1\">'fourier-Fx3.svg'<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8604\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-Fx3.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u533a\u9593\u5916\u3067\u306f\u5468\u671f-$2$-\u306e\u5468\u671f\u95a2\u6570\u306b\">\u533a\u9593\u5916\u3067\u306f\u5468\u671f $2$ \u306e\u5468\u671f\u95a2\u6570\u306b<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[13]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># f(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"o\">\/<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># L = 1<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.7<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'\u5468\u671f $2$ \u306e\u5468\u671f\u95a2\u6570 $f(x)$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">)],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8605\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-Fx4.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u30d5\u30fc\u30ea\u30a8\u4fc2\u6570\uff0c\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\">\u30d5\u30fc\u30ea\u30a8\u4fc2\u6570\uff0c\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[14]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"k\">def<\/span> <span class=\"nf\">b<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"k\">def<\/span> <span class=\"nf\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">if<\/span> <span class=\"n\">n<\/span> <span class=\"o\">==<\/span><span class=\"mi\">1<\/span><span class=\"p\">:<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">b<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"k\">else<\/span><span class=\"p\">:<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"n\">b<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sin<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">*<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">pi<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"$n=1$-\u304b\u3089-$n=3$-\u307e\u3067\u306e\u30b0\u30e9\u30d5\">$n=1$ \u304b\u3089 $n=3$ \u307e\u3067\u306e\u30b0\u30e9\u30d5<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[15]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># f(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"o\">\/<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># L = 1<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'$f(x)$'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"k\">for<\/span> <span class=\"n\">n<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">4<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">Label<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s2\">\"$\"<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"n\">Label<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.7<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$f(x)$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">)],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">(<\/span><span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8606\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-Fig01-03.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"$n=10$-\u306e\u30b0\u30e9\u30d5\">$n=10$ \u306e\u30b0\u30e9\u30d5<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[16]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">[<\/span><span class=\"mf\">6.4<\/span><span class=\"p\">,<\/span> <span class=\"mf\">4.8<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># f(x)<\/span>\r\n<span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"o\">\/<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># L = 1<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'$f(x)$'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\r\n<span class=\"n\">Label<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s2\">\"$\"<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"n\">Label<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.7<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$f(x)$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b $n=10$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">)],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">(<\/span><span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8607\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-Fig10.svg\" alt=\"\" width=\"640\" height=\"481\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\">\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3<\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[17]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># \u5c0f\u7dba\u9e97\u306a\u52d5\u753b\u306b\u3059\u308b\u305f\u3081\u306b\u89e3\u50cf\u5ea6\u3092\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">fig<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">dpi<\/span><span class=\"o\">=<\/span><span class=\"mi\">288<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"n\">cmap<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">get_cmap<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"tab10\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># n=i+1 \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u3092\u63cf\u304f\u3088\u3046\u306b<\/span>\r\n<span class=\"c1\"># func \u3092\u5b9a\u7fa9<\/span>\r\n<span class=\"k\">def<\/span> <span class=\"nf\">func<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u524d\u306e frame \u3092\u6d88\u3059<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">cla<\/span><span class=\"p\">()<\/span>\r\n    <span class=\"c1\"># f(x)<\/span>\r\n    <span class=\"n\">x<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"o\">\/<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># L = 1<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">f<\/span><span class=\"p\">(<\/span><span class=\"n\">xcyc<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'$f(x)$'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">Label1<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s2\">\"$\"<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"n\">Label1<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"n\">cmap<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"n\">Label2<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'$n='<\/span><span class=\"o\">+<\/span><span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">+<\/span><span class=\"s2\">\"$\"<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">Fourier<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">),<\/span> <span class=\"n\">lw<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"n\">Label2<\/span><span class=\"p\">,<\/span> <span class=\"n\">c<\/span><span class=\"o\">=<\/span><span class=\"n\">cmap<\/span><span class=\"p\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n\r\n    <span class=\"c1\"># \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylim<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mf\">1.2<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.7<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">ls<\/span><span class=\"o\">=<\/span><span class=\"s1\">':'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u8ef8\u30e9\u30d9\u30eb\uff0c\u30bf\u30a4\u30c8\u30eb<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$x$'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'$f(x)$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b'<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xticks<\/span><span class=\"p\">([<\/span><span class=\"n\">i<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">5<\/span><span class=\"p\">,<\/span><span class=\"mi\">6<\/span><span class=\"p\">)],<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">12<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># x\u8ef8 y\u8ef8<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axhline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">axvline<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'gray'<\/span><span class=\"p\">,<\/span> <span class=\"n\">ls<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">lw<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span>\r\n\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">(<\/span><span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">10<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5909\u6570\u540d frames \u306f\u56fa\u5b9a\u3002<\/span>\r\n<span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">9<\/span>\r\n<span class=\"n\">ani<\/span> <span class=\"o\">=<\/span> <span class=\"n\">FuncAnimation<\/span><span class=\"p\">(<\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">func<\/span><span class=\"p\">,<\/span>  \r\n        <span class=\"c1\"># interval \u306f frame \u9593\u306e\u6642\u9593\u3092\u30df\u30ea\u79d2\u5358\u4f4d\u3067\u3002<\/span>\r\n        <span class=\"n\">interval<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1500<\/span><span class=\"p\">,<\/span> \r\n        <span class=\"n\">frames<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">frames<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># \u52d5\u753b\u3092 jupyterhub \u306e\u30db\u30fc\u30e0\u306b mp4 \u30d5\u30a1\u30a4\u30eb\u3068\u3057\u3066\u4fdd\u5b58\u3002<\/span>\r\n<span class=\"n\">ani<\/span><span class=\"o\">.<\/span><span class=\"n\">save<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"fourier-Anim.mp4\"<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_svg output_subarea \">\n<div style=\"width: 750px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-8610-2\" width=\"750\" height=\"500\" loop autoplay preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-Anim.mp4?_=2\" \/><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-Anim.mp4\">https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/fourier-Anim.mp4<\/a><\/video><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u8aac\u660e\u7528\u306e\u56f3\u3092 Matplotlib \u3067\u63cf\u304f\u3002\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u3067\u4f7f\u3063\u3066\u3044\u308b\u306e\u3067\u3002<\/p><p><a class=\"more-link btn\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/8610\/\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n<ul>\n<li>\u5468\u671f $2 \\pi$ \u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u4f8b<\/li>\n<li>\u4efb\u610f\u5468\u671f\u306e\u30d5\u30fc\u30ea\u30a8\u7d1a\u6570\u5c55\u958b\u306e\u4f8b<\/li>\n<\/ul>\n","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[13,21],"tags":[],"class_list":["post-8610","post","type-post","status-publish","format-standard","hentry","category-matplotlib","category-21","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/8610","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=8610"}],"version-history":[{"count":4,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/8610\/revisions"}],"predecessor-version":[{"id":8680,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/8610\/revisions\/8680"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=8610"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=8610"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=8610"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}