{"id":5802,"date":"2023-03-20T14:25:43","date_gmt":"2023-03-20T05:25:43","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=5802"},"modified":"2024-03-15T14:47:39","modified_gmt":"2024-03-15T05:47:39","slug":"%e5%8f%82%e8%80%83%ef%bc%9asympy-plotting-backends-%e3%81%a7-sin-x-%e3%81%a8-x-%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6b\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e5%be%ae%e5%88%86\/%e5%8f%82%e8%80%83%ef%bc%9asympy-plotting-backends-%e3%81%a7-sin-x-%e3%81%a8-x-%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/","title":{"rendered":"\u53c2\u8003\uff1aSymPy Plotting Backends \u3067 sin x \u3068 x \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f"},"content":{"rendered":"
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\u53c2\u8003\uff1agnuplot \u3067 sin x \u3068 x \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f<\/a> \u306e SymPy Plotting Backends<\/a> (SPB) \u7248\u3002SPB \u306e plot()<\/code> \u3067 $y = \\sin x $ \u3068 $y = x$ \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3002<\/p>\n

$ |x| \\ll 1 $ \u3067\u306f2\u3064\u306e\u30b0\u30e9\u30d5\u306f\u307b\u3068\u3093\u3069\u91cd\u306a\u3063\u3066\u3044\u3066 $ \\sin x \\simeq x $ \u3059\u306a\u308f\u3061 $\\displaystyle \\frac{\\sin x}{x} \\simeq 1$ \u3067\u3042\u308b\u3053\u3068\u3092\u898b\u3066\u78ba\u304b\u3081\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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from<\/span> sympy.abc<\/span> import<\/span> *<\/span>\r\nfrom<\/span> sympy<\/span> import<\/span> *<\/span>\r\n\r\n# SymPy Plotting Backends<\/span>\r\nfrom<\/span> spb<\/span> import<\/span> *<\/span>\r\n\r\n# \u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a\u3055\u305b\u308b<\/span>\r\n%<\/span>config<\/span> InlineBackend.figure_formats = ['svg']\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$ – \\pi \\leq x \\leq \\pi$ \u306e\u7bc4\u56f2\u3067 $y = \\sin x$ \u3068 $ y = x$ \u3092\u30d7\u30ed\u30c3\u30c8\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[2]:<\/div>\n
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plot<\/span>(<\/span>sin<\/span>(<\/span>x<\/span>),<\/span> x<\/span>,<\/span> (<\/span>x<\/span>,<\/span> -<\/span>pi<\/span>,<\/span> pi<\/span>),<\/span> \r\n     xlim<\/span> =<\/span> (<\/span>-<\/span>pi<\/span>,<\/span> pi<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>pi<\/span>,<\/span> pi<\/span>),<\/span> \r\n     aspect<\/span> =<\/span> \"equal\"<\/span>,<\/span> size<\/span>=<\/span>(<\/span>6<\/span>,<\/span> 6<\/span>))<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u51e1\u4f8b\u3068\u7dda\u306e\u8272\u306e\u8a2d\u5b9a\u4f8b\u3002\u307e\u305f\uff0c\u6b21\u306b\u62e1\u5927\u8868\u793a\u3059\u308b\u90e8\u5206\u306e\u77e9\u5f62\u3082\u5408\u308f\u305b\u3066\u30d7\u30ed\u30c3\u30c8\u3057\u3066\u307f\u308b\u3002rectangles<\/code> \u306b\u306f\uff0cmatplotlib.patches.Rectangle<\/code><\/a> \u306e\u5f15\u6570\u3068\u540c\u7b49\u306a\u3082\u306e\u3092\u8f9e\u66f8\u5f62\u5f0f\u3067\u8a2d\u5b9a\u3059\u308b\uff08\u3089\u3057\u3044\uff09\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[3]:<\/div>\n
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plot<\/span>((<\/span>sin<\/span>(<\/span>x<\/span>),<\/span> \"sin $x$\"<\/span>,<\/span> {<\/span>\"color\"<\/span>:<\/span>\"red\"<\/span>,<\/span> \"linewidth\"<\/span>:<\/span>2<\/span>}),<\/span> \r\n     (<\/span>x<\/span>,<\/span> \"$x$\"<\/span>,<\/span> {<\/span>\"color\"<\/span>:<\/span>\"blue\"<\/span>,<\/span> \"linewidth\"<\/span>:<\/span>1<\/span>}),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>pi<\/span>,<\/span> pi<\/span>),<\/span> \r\n     rectangles<\/span>=<\/span>{<\/span>\"xy\"<\/span>:(<\/span>-<\/span>1<\/span>,<\/span>-<\/span>1<\/span>),<\/span> \"width\"<\/span>:<\/span>2<\/span>,<\/span> \"height\"<\/span>:<\/span>2<\/span>,<\/span> \r\n                 \"color\"<\/span>:<\/span>\"orange\"<\/span>,<\/span> \"fill\"<\/span>:<\/span>False<\/span>,<\/span> \"linewidth\"<\/span>:<\/span>2<\/span>},<\/span>\r\n     xlim<\/span> =<\/span> (<\/span>-<\/span>pi<\/span>,<\/span> pi<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>pi<\/span>,<\/span> pi<\/span>),<\/span> \r\n     aspect<\/span> =<\/span> \"equal\"<\/span>,<\/span> size<\/span>=<\/span>(<\/span>6<\/span>,<\/span> 6<\/span>))<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$ – 1 \\leq x \\leq 1$ \u306e\u7bc4\u56f2\u3067 $y = \\sin x$ \u3068 $ y = x$ \u3092\u30d7\u30ed\u30c3\u30c8\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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plot<\/span>((<\/span>sin<\/span>(<\/span>x<\/span>),<\/span> \"sin $x$\"<\/span>,<\/span> {<\/span>\"color\"<\/span>:<\/span>\"red\"<\/span>,<\/span> \"linewidth\"<\/span>:<\/span>2<\/span>}),<\/span> \r\n     (<\/span>x<\/span>,<\/span> \"$x$\"<\/span>,<\/span> {<\/span>\"color\"<\/span>:<\/span>\"blue\"<\/span>,<\/span> \"linewidth\"<\/span>:<\/span>1<\/span>}),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>1<\/span>,<\/span> 1<\/span>),<\/span> \r\n     rectangles<\/span>=<\/span>{<\/span>\"xy\"<\/span>:(<\/span>-<\/span>0.1<\/span>,<\/span>-<\/span>0.1<\/span>),<\/span> \"width\"<\/span>:<\/span>0.2<\/span>,<\/span> \"height\"<\/span>:<\/span>0.2<\/span>,<\/span> \r\n                 \"color\"<\/span>:<\/span>\"orange\"<\/span>,<\/span> \"fill\"<\/span>:<\/span>False<\/span>,<\/span> \"linewidth\"<\/span>:<\/span>2<\/span>},<\/span>\r\n     xlim<\/span> =<\/span> (<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>),<\/span> \r\n     aspect<\/span> =<\/span> \"equal\"<\/span>,<\/span> size<\/span>=<\/span>(<\/span>6<\/span>,<\/span> 6<\/span>))<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$ – 0.1 \\leq x \\leq 0.1$ \u306e\u7bc4\u56f2\u3067 $y = \\sin x$ \u3068 $ y = x$ \u3092\u30d7\u30ed\u30c3\u30c8\u3002\u307b\u3068\u3093\u3069\u91cd\u306a\u3063\u3066\u3044\u3066\uff0c\u533a\u5225\u304c\u3064\u304d\u306b\u304f\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[5]:<\/div>\n
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plot<\/span>((<\/span>sin<\/span>(<\/span>x<\/span>),<\/span> \"sin $x$\"<\/span>,<\/span> {<\/span>\"color\"<\/span>:<\/span>\"red\"<\/span>,<\/span> \"linewidth\"<\/span>:<\/span>2<\/span>}),<\/span> \r\n     (<\/span>x<\/span>,<\/span> \"$x$\"<\/span>,<\/span> {<\/span>\"color\"<\/span>:<\/span>\"blue\"<\/span>,<\/span> \"linewidth\"<\/span>:<\/span>1<\/span>}),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>0.1<\/span>,<\/span> 0.1<\/span>),<\/span> \r\n     xlim<\/span> =<\/span> (<\/span>-<\/span>0.1<\/span>,<\/span> 0.1<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>0.1<\/span>,<\/span> 0.1<\/span>),<\/span> \r\n     aspect<\/span> =<\/span> \"equal\"<\/span>,<\/span> size<\/span>=<\/span>(<\/span>6<\/span>,<\/span> 6<\/span>))<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u53c2\u8003\uff1agnuplot \u3067 sin x \u3068 x \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f \u306e SymPy Plotting Backends (SPB) \u7248\u3002SPB \u306e plot() \u3067 $y = \\sin x $ \u3068 $y = x$ \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3002<\/p>\n
$ |x| \\ll 1 $ \u3067\u306f2\u3064\u306e\u30b0\u30e9\u30d5\u306f\u307b\u3068\u3093\u3069\u91cd\u306a\u3063\u3066\u3044\u3066 $ \\sin x \\simeq x $ \u3059\u306a\u308f\u3061 $\\displaystyle \\frac{\\sin x}{x} \\simeq 1$ \u3067\u3042\u308b\u3053\u3068\u3092\u898b\u3066\u78ba\u304b\u3081\u308b\u3002<\/p>
\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":2096,"menu_order":8,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-5802","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t