{"id":10210,"date":"2025-03-20T15:43:56","date_gmt":"2025-03-20T06:43:56","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=10210"},"modified":"2025-03-20T15:46:36","modified_gmt":"2025-03-20T06:46:36","slug":"%e5%8f%82%e8%80%83%ef%bc%9asympy-plotting-backends-%e3%81%a7%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f%ef%bc%88the-graphic-module-%e7%b7%a8","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\/%e5%8f%82%e8%80%83%ef%bc%9a%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/%e5%8f%82%e8%80%83%ef%bc%9asympy-plotting-backends-%e3%81%a7%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f%ef%bc%88the-graphic-module-%e7%b7%a8\/","title":{"rendered":"\u53c2\u8003\uff1aSymPy Plotting Backends \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\uff08The Graphic Module \u7de8\uff09"},"content":{"rendered":"

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SymPy \u304a\u3088\u3073 SPB \u306e import<\/h3>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[1]:<\/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 (SPB)<\/span>\r\nfrom<\/span> spb<\/span> import<\/span> *<\/span>\r\n\r\n# \u65e5\u672c\u8a9e\u304c\u30c8\u30fc\u30d5\u306b\u306a\u308b\u5834\u5408<\/span>\r\n# import japanize_matplotlib<\/span>\r\n\r\n# \u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a<\/span>\r\n%<\/span>config<\/span> InlineBackend.figure_formats = ['svg']\r\n\r\n# \u30c7\u30d5\u30a9\u30eb\u30c8\u8a2d\u5b9a\u306e\u305f\u3081<\/span>\r\nimport<\/span> matplotlib.pyplot<\/span> as<\/span> plt<\/span>\r\n# mathtext font \u306e\u8a2d\u5b9a<\/span>\r\nplt<\/span>.<\/span>rcParams<\/span>[<\/span>'mathtext.fontset'<\/span>]<\/span> =<\/span> 'cm'<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u3079\u304d\u95a2\u6570<\/h3>\n
\u307e\u305a\uff0c$y = x^{-1}$ \u306e\u30b0\u30e9\u30d5\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[2]:<\/div>\n
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graphics<\/span>(<\/span>line<\/span>(<\/span>1<\/span>\/<\/span>x<\/span>),<\/span> xlim<\/span> =<\/span> (<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>))<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$y=x^{-1}$ \u306e\u30b0\u30e9\u30d5\u306e $x\uff1d0$ \u4ed8\u8fd1\uff0c$y \\rightarrow -\\infty$ \u3068 $y \\rightarrow +\\infty$ \u3092\u7e26\u306e\u76f4\u7dda\u3067\u3064\u306a\u3044\u3067\u3057\u307e\u3046\u3002<\/p>\n
\u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3052\u306a\u3044\u5bfe\u7b56<\/h4>\n
detect_poles=True<\/code> \u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u3064\u3051\u3066\uff0c\u3055\u3089\u306b n<\/code> \u306e\u5024\u3092\u5927\u304d\u3081\u306b\u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[3]:<\/div>\n
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graphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>1<\/span>\/<\/span>x<\/span>,<\/span> detect_poles<\/span>=<\/span>True<\/span>,<\/span> n<\/span> =<\/span> 1e4<\/span>),<\/span> \r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>)<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$y = x^{-2}, \\ x^{-1}, \\ x^2, \\ x^3$ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002\uff08\u51e1\u4f8b label<\/code> \u306b $\\LaTeX$ \u8a18\u6cd5\u3092\u4f7f\u3063\u3066\u3044\u307e\u3059\u3002\uff09<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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graphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>1<\/span>\/<\/span>x<\/span>**<\/span>2<\/span>,<\/span> label<\/span> =<\/span> '$x^{-2}$'<\/span>),<\/span> \r\n    line<\/span>(<\/span>1<\/span>\/<\/span>x<\/span>,<\/span> label<\/span> =<\/span> '$x^{-1}$'<\/span>,<\/span> detect_poles<\/span> =<\/span> True<\/span>,<\/span> n<\/span> =<\/span> 1e4<\/span>),<\/span> \r\n    line<\/span>(<\/span>x<\/span>**<\/span>2<\/span>),<\/span>\r\n    line<\/span>(<\/span>x<\/span>**<\/span>3<\/span>),<\/span> \r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>),<\/span> \r\n    title<\/span> =<\/span> '\u3079\u304d\u95a2\u6570\u306e\u30b0\u30e9\u30d5'<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$\\displaystyle y = \\sqrt{x}, \\ \\frac{1}{\\sqrt{x}}$ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002
\n\uff08\\<\/code> \u3067\u59cb\u307e\u308b $\\LaTeX$ \u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u3046\u969b\u306f\uff0c\u5ff5\u306e\u305f\u3081 r<\/code> \u304b\u3089\u59cb\u3081\u307e\u3059\u3002\uff09<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[5]:<\/div>\n
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graphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>sqrt<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> 0<\/span>,<\/span> 5<\/span>),<\/span> r<\/span>'$\\sqrt<\/span>{x}<\/span>$'<\/span>),<\/span>\r\n    line<\/span>(<\/span>1<\/span>\/<\/span>sqrt<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> 0.0001<\/span>,<\/span> 5<\/span>),<\/span> r<\/span>'$1\/\\sqrt<\/span>{x}<\/span>$'<\/span>),<\/span>\r\n    xlim<\/span> =<\/span> (<\/span>0<\/span>,<\/span> 5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>0<\/span>,<\/span> 5<\/span>)<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u6307\u6570\u95a2\u6570<\/h3>\n
$y = e^{-x}, \\ e^x$ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[6]:<\/div>\n
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graphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>exp<\/span>(<\/span>-<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> '$e^{-x}$'<\/span>),<\/span>\r\n    line<\/span>(<\/span>exp<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> '$e^<\/span>{x}<\/span>$'<\/span>),<\/span>\r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>0<\/span>,<\/span> 5<\/span>)<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u5bfe\u6570\u95a2\u6570<\/h3>\n
$y = \\log x$ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[7]:<\/div>\n
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graphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>log<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> 0.0001<\/span>,<\/span> 10<\/span>),<\/span> r<\/span>'$\\log x$'<\/span>),<\/span>\r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>0.5<\/span>,<\/span> 10<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> legend<\/span> =<\/span> True<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u4e09\u89d2\u95a2\u6570<\/h3>\n
$ y = \\sin x, \\ \\cos x, \\ \\tan x $ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n
\u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3052\u306a\u3044\u5bfe\u7b56<\/h4>\n
$\\tan x$ \u306e\u4e0d\u9023\u7d9a\u70b9\u306e\u51e6\u7406\u306f detect_poles = True<\/code> \u3067\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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\u4e3b\u76ee\u76db\u30fb\u526f\u76ee\u76db\u306e\u30ab\u30b9\u30bf\u30de\u30a4\u30ba<\/h4>\n
\u30b0\u30e9\u30d5\u306e\u30b9\u30bf\u30a4\u30eb\u306e\u8a73\u7d30\u306a\u8a2d\u5b9a\u5909\u66f4\u306f SPB \u306b\u306f\u5099\u308f\u3063\u3066\u3044\u306a\u3044\u3088\u3046\u3067\u3059\u306e\u3067\uff0c\u30d0\u30c3\u30af\u30a8\u30f3\u30c9\u306e Matplotlib \u306e ax<\/code> \u3067\u8a73\u7d30\u8a2d\u5b9a\u3092\u884c\u3063\u3066\u307f\u307e\u3059\u3002<\/p>\n
\u3053\u3053\u3067\u306f\uff0c\u6a2a\u8ef8\u4e3b\u76ee\u76db\u3092 $\\pi$ \u3054\u3068\uff0c\u6a2a\u8ef8\u526f\u76ee\u76db\u3092 $\\frac{\\pi}{2}$ \u3054\u3068\uff0c\u7e26\u8ef8\u526f\u76ee\u76db\u3092 $1$ \u3054\u3068\u306b\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n
\u53c2\u8003\uff1a\u30b0\u30ea\u30c3\u30c9\u306e\u30ab\u30b9\u30bf\u30de\u30a4\u30ba<\/h4>\n
\u4e0a\u306e\u51fa\u529b\u7d50\u679c\u3092\u307f\u308b\u3068\uff0c\u4e3b\u76ee\u76db\u3068\u526f\u76ee\u76db\u3067\u306f\u30b0\u30ea\u30c3\u30c9\u306e\u30b9\u30bf\u30a4\u30eb\u304c\u7570\u306a\u3063\u3066\u3044\u308b\u3088\u3046\u3067\u3059\u3002\u3053\u306e\u3078\u3093\u306e\u30ab\u30b9\u30bf\u30de\u30a4\u30ba\u306f<\/p>\n
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  • ax.grid()<\/code><\/li>\n<\/ul>\n
    \u53c2\u8003\uff1a$x$ \u8ef8\u30fb$y$ \u8ef8\u306e\u8868\u793a<\/h4>\n
    \u307e\u305f\uff0cPython \u306e\u30b0\u30e9\u30d5\u4f5c\u6210\u754c\u9688\u3067\u306f\uff0c$x$ \u8ef8\uff08$y = 0$\uff09\u3084 $y$ \u8ef8\uff08$x = 0$\uff09\u3092\uff08\u683c\u5b50\u7dda\u3068\u306f\u533a\u5225\u3057\u3066\uff09\u8868\u793a\u3055\u305b\u308b\u7fd2\u6163\u306f\u306a\u3044\u3088\u3046\u3067\u3059\u3002\u3053\u306e\u3042\u305f\u308a\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3057\u3066\u5bfe\u5fdc\u3067\u304d\u307e\u3059\u3002<\/p>\n
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    • $x$ \u8ef8\uff08$y = 0$\uff09\u306e\u8868\u793a ax.axhline(0)<\/code><\/li>\n
    • $y$ \u8ef8\uff08$x = 0$\uff09\u306e\u8868\u793a ax.axvline(0)<\/code><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n
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      In\u00a0[8]:<\/div>\n
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      # \u304a\u307e\u3058\u306a\u3044\u3002\u3053\u308c\u3067 ax \u304c\u4f7f\u3048\u308b\u3002<\/span>\r\nfig<\/span>,<\/span> ax<\/span> =<\/span> plt<\/span>.<\/span>subplots<\/span>()<\/span>\r\n\r\n# \u6a2a\u8ef8\u4e3b\u76ee\u76db<\/span>\r\nPi<\/span> =<\/span> float<\/span>(<\/span>pi<\/span>)<\/span>\r\nax<\/span>.<\/span>set_xticks<\/span>(<\/span>\r\n    [<\/span>-<\/span>2<\/span>*<\/span>Pi<\/span>,<\/span>     -<\/span>Pi<\/span>,<\/span>      0<\/span>,<\/span>     Pi<\/span>,<\/span>      2<\/span>*<\/span>Pi<\/span>],<\/span> \r\n    [<\/span>'$-2\\pi$'<\/span>,<\/span> '$-\\pi$'<\/span>,<\/span> '$0$'<\/span>,<\/span> '$\\pi$'<\/span>,<\/span> '$2\\pi$'<\/span>])<\/span>\r\n\r\nfrom<\/span> matplotlib.ticker<\/span> import<\/span> MultipleLocator<\/span>\r\n# \u6a2a\u8ef8\u526f\u76ee\u76db\u3092 \u03c0\/4 \u3054\u3068\u306b<\/span>\r\nax<\/span>.<\/span>xaxis<\/span>.<\/span>set_minor_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>Pi<\/span>\/<\/span>2<\/span>))<\/span>\r\n# \u7e26\u8ef8\u526f\u76ee\u76db\u3092 1 \u3054\u3068\u306b<\/span>\r\nax<\/span>.<\/span>yaxis<\/span>.<\/span>set_minor_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>1<\/span>))<\/span>\r\n\r\n# x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\nax<\/span>.<\/span>axhline<\/span>(<\/span>0<\/span>,<\/span> c<\/span>=<\/span>'k'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>)<\/span>\r\nax<\/span>.<\/span>axvline<\/span>(<\/span>0<\/span>,<\/span> c<\/span>=<\/span>'k'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>)<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\u306f\u4e3b\u76ee\u76db\u526f\u76ee\u76db\u3068\u3082\u540c\u3058\u30b9\u30bf\u30a4\u30eb\u3067\u76ee\u7acb\u305f\u306a\u304f<\/span>\r\nax<\/span>.<\/span>grid<\/span>(<\/span>c<\/span>=<\/span>'lightgray'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>,<\/span> which<\/span>=<\/span>'both'<\/span>)<\/span>\r\n\r\ngraphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>sin<\/span>(<\/span>x<\/span>),<\/span> label<\/span> =<\/span> '$\\sin x$'<\/span>),<\/span>\r\n    line<\/span>(<\/span>cos<\/span>(<\/span>x<\/span>),<\/span> label<\/span> =<\/span> '$\\cos x$'<\/span>),<\/span>\r\n    line<\/span>(<\/span>tan<\/span>(<\/span>x<\/span>),<\/span> label<\/span> =<\/span> r<\/span>'$\\tan x$'<\/span>,<\/span> detect_poles<\/span> =<\/span> True<\/span>),<\/span>\r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>2<\/span>*<\/span>pi<\/span>,<\/span> 2<\/span>*<\/span>pi<\/span>+<\/span>1<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>),<\/span>\r\n    grid<\/span>=<\/span>False<\/span>,<\/span> # \u4e00\u65e6 False \u306b\u3057\u3066...<\/span>\r\n    ax<\/span> =<\/span> ax<\/span>     # ax \u306e\u8a2d\u5b9a\u3092\u53cd\u6620<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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      \"\"<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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      \u9006\u4e09\u89d2\u95a2\u6570<\/h3>\n
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      • $y = \\sin^{-1} x = \\arcsin x =$ asin(x)<\/code>\n
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        • \u5b9a\u7fa9\u57df\u306f $\\displaystyle-1 \\leq x \\leq 1$<\/li>\n
        • \u5024\u57df\u306f $\\displaystyle -\\frac{\\pi}{2} \\leq y \\leq \\frac{\\pi}{2}$<\/li>\n<\/ul>\n<\/li>\n
        • $y = \\cos^{-1} x = \\arccos x =$ acos(x)<\/code>\n
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          • \u5b9a\u7fa9\u57df\u306f $\\displaystyle-1 \\leq x \\leq 1$<\/li>\n
          • \u5024\u57df\u306f $\\displaystyle0 \\leq y \\leq \\pi$<\/li>\n<\/ul>\n<\/li>\n
          • $y = \\tan^{-1} x = \\arctan x =$ atan(x)<\/code>\n
              \n
            • \u5b9a\u7fa9\u57df\u306f $\\displaystyle-\\infty < x < \\infty$<\/li>\n
            • \u5024\u57df\u306f $\\displaystyle-\\frac{\\pi}{2} \\leq y \\leq \\frac{\\pi}{2}$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n
              \n
              \n
              In\u00a0[9]:<\/div>\n
              \n
              \n
              \n
              fig<\/span>,<\/span> ax<\/span> =<\/span> plt<\/span>.<\/span>subplots<\/span>()<\/span>\r\n\r\n# \u7e26\u8ef8\u4e3b\u76ee\u76db<\/span>\r\nPi<\/span> =<\/span> float<\/span>(<\/span>pi<\/span>)<\/span>\r\nax<\/span>.<\/span>set_yticks<\/span>(<\/span>\r\n    [<\/span>-<\/span>Pi<\/span>\/<\/span>2<\/span>,<\/span>      0<\/span>,<\/span>     Pi<\/span>\/<\/span>2<\/span>,<\/span>      Pi<\/span>],<\/span> \r\n    [<\/span>'$-\\pi\/2$'<\/span>,<\/span> '$0$'<\/span>,<\/span> '$\\pi\/2$'<\/span>,<\/span> '$\\pi$'<\/span>])<\/span>\r\n# \u7e26\u8ef8\u526f\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>yaxis<\/span>.<\/span>set_minor_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>Pi<\/span>\/<\/span>4<\/span>))<\/span>\r\n\r\n# \u6a2a\u8ef8\u4e3b\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>xaxis<\/span>.<\/span>set_major_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>5<\/span>))<\/span>\r\n# \u6a2a\u8ef8\u526f\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>xaxis<\/span>.<\/span>set_minor_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>1<\/span>))<\/span>\r\n\r\n# x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\nax<\/span>.<\/span>axhline<\/span>(<\/span>0<\/span>,<\/span> c<\/span>=<\/span>'k'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>)<\/span>\r\nax<\/span>.<\/span>axvline<\/span>(<\/span>0<\/span>,<\/span> c<\/span>=<\/span>'k'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>)<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\u306f\u4e3b\u76ee\u76db\u526f\u76ee\u76db\u3068\u3082\u540c\u3058\u30b9\u30bf\u30a4\u30eb\u3067\u76ee\u7acb\u305f\u306a\u304f<\/span>\r\nax<\/span>.<\/span>grid<\/span>(<\/span>c<\/span>=<\/span>'lightgray'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>,<\/span> which<\/span>=<\/span>'both'<\/span>)<\/span>\r\n\r\ngraphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>asin<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>1<\/span>,<\/span> 1<\/span>),<\/span> r<\/span>'$\\arcsin x$'<\/span>),<\/span> \r\n    line<\/span>(<\/span>acos<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>1<\/span>,<\/span> 1<\/span>),<\/span> r<\/span>'$\\arccos x$'<\/span>),<\/span> \r\n    line<\/span>(<\/span>atan<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>10<\/span>,<\/span> 10<\/span>),<\/span> r<\/span>'$\\arctan x$'<\/span>),<\/span> \r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>7<\/span>,<\/span> 7<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>pi<\/span>\/<\/span>2<\/span>,<\/span> pi<\/span>),<\/span> \r\n    grid<\/span>=<\/span>False<\/span>,<\/span> # \u4e00\u65e6 False \u306b\u3057\u3066...<\/span>\r\n    ax<\/span> =<\/span> ax<\/span>     # ax \u306e\u8a2d\u5b9a\u3092\u53cd\u6620<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
              \n
              \n
              \n
              <\/div>\n
              \"\"<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
              \n
              <\/div>\n
              \n
              \n
              \u53cc\u66f2\u7dda\u95a2\u6570<\/h3>\n
              $y = \\sinh x, \\ \\cosh x, \\ \\tanh x$ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
              \n
              \n
              In\u00a0[10]:<\/div>\n
              \n
              \n
              \n
              fig<\/span>,<\/span> ax<\/span> =<\/span> plt<\/span>.<\/span>subplots<\/span>()<\/span>\r\n\r\n# \u7e26\u8ef8\u4e3b\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>yaxis<\/span>.<\/span>set_major_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>2<\/span>))<\/span>\r\n# \u7e26\u8ef8\u526f\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>yaxis<\/span>.<\/span>set_minor_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>1<\/span>))<\/span>\r\n\r\n# \u6a2a\u8ef8\u4e3b\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>xaxis<\/span>.<\/span>set_major_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>2<\/span>))<\/span>\r\n# \u6a2a\u8ef8\u526f\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>xaxis<\/span>.<\/span>set_minor_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>1<\/span>))<\/span>\r\n\r\n# x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\nax<\/span>.<\/span>axhline<\/span>(<\/span>0<\/span>,<\/span> c<\/span>=<\/span>'k'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>)<\/span>\r\nax<\/span>.<\/span>axvline<\/span>(<\/span>0<\/span>,<\/span> c<\/span>=<\/span>'k'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>)<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\u306f\u4e3b\u76ee\u76db\u526f\u76ee\u76db\u3068\u3082\u540c\u3058\u30b9\u30bf\u30a4\u30eb\u3067\u76ee\u7acb\u305f\u306a\u304f<\/span>\r\nax<\/span>.<\/span>grid<\/span>(<\/span>c<\/span>=<\/span>'lightgray'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>,<\/span> which<\/span>=<\/span>'both'<\/span>)<\/span>\r\n\r\ngraphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>sinh<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> r<\/span>'$\\sinh x$'<\/span>),<\/span> \r\n    line<\/span>(<\/span>cosh<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> r<\/span>'$\\cosh x$'<\/span>),<\/span>\r\n    line<\/span>(<\/span>tanh<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> r<\/span>'$\\tanh x$'<\/span>),<\/span> \r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>7<\/span>,<\/span> 7<\/span>),<\/span> \r\n    grid<\/span>=<\/span>False<\/span>,<\/span> # \u4e00\u65e6 False \u306b\u3057\u3066...<\/span>\r\n    ax<\/span> =<\/span> ax<\/span>     # ax \u306e\u8a2d\u5b9a\u3092\u53cd\u6620<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
              \n
              \n
              \n
              <\/div>\n
              \"\"<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
              \n
              <\/div>\n
              \n
              \n
              \u9006\u53cc\u66f2\u7dda\u95a2\u6570<\/h3>\n
                \n
              • $ y = \\sinh^{-1} x = \\mbox{arsinh}\\ x = $ asinh(x)<\/code>\n
                  \n
                • \u5b9a\u7fa9\u57df\u306f $ -\\infty < x < \\infty$<\/li>\n
                • \u5024\u57df\u306f $-\\infty < y < \\infty$<\/li>\n<\/ul>\n<\/li>\n
                • $ y = \\cosh^{-1} x = \\mbox{arcosh}\\ x = $ acosh(x)<\/code>\n
                    \n
                  • \u5b9a\u7fa9\u57df\u306f $ 1 \\leq x < \\infty$<\/li>\n
                  • \u5024\u57df\u306f $0 \\leq y < \\infty$<\/li>\n<\/ul>\n<\/li>\n
                  • $ y = \\tanh^{-1} x = \\mbox{artanh}\\ x = $ atanh(x)<\/code>\n
                      \n
                    • \u5b9a\u7fa9\u57df\u306f $ -1 < x < 1$<\/li>\n
                    • \u5024\u57df\u306f $-\\infty < y < \\infty$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n
                      \n
                      \n
                      In\u00a0[11]:<\/div>\n
                      \n
                      \n
                      \n
                      fig<\/span>,<\/span> ax<\/span> =<\/span> plt<\/span>.<\/span>subplots<\/span>()<\/span>\r\n\r\n# \u7e26\u8ef8\u4e3b\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>yaxis<\/span>.<\/span>set_major_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>1<\/span>))<\/span>\r\n\r\n# \u6a2a\u8ef8\u4e3b\u76ee\u76db<\/span>\r\nax<\/span>.<\/span>xaxis<\/span>.<\/span>set_major_locator<\/span>(<\/span>MultipleLocator<\/span>(<\/span>1<\/span>))<\/span>\r\n\r\n# x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\nax<\/span>.<\/span>axhline<\/span>(<\/span>0<\/span>,<\/span> c<\/span>=<\/span>'k'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>)<\/span>\r\nax<\/span>.<\/span>axvline<\/span>(<\/span>0<\/span>,<\/span> c<\/span>=<\/span>'k'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>)<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\u306f\u4e3b\u76ee\u76db\u526f\u76ee\u76db\u3068\u3082\u540c\u3058\u30b9\u30bf\u30a4\u30eb\u3067\u76ee\u7acb\u305f\u306a\u304f<\/span>\r\nax<\/span>.<\/span>grid<\/span>(<\/span>c<\/span>=<\/span>'lightgray'<\/span>,<\/span> ls<\/span>=<\/span>'--'<\/span>,<\/span> lw<\/span>=<\/span>0.5<\/span>,<\/span> which<\/span>=<\/span>'both'<\/span>)<\/span>\r\n\r\ngraphics<\/span>(<\/span>\r\n    line<\/span>(<\/span>asinh<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>10<\/span>,<\/span> 10<\/span>),<\/span> r<\/span>'$\\sinh^{-1} x$'<\/span>),<\/span> \r\n    line<\/span>(<\/span>acosh<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> 1<\/span>,<\/span> 10<\/span>),<\/span> r<\/span>'$\\cosh^{-1} x$'<\/span>),<\/span>\r\n    line<\/span>(<\/span>atanh<\/span>(<\/span>x<\/span>),<\/span> (<\/span>x<\/span>,<\/span> -<\/span>0.99999<\/span>,<\/span> 0.99999<\/span>),<\/span> r<\/span>'$\\tanh^{-1} x$'<\/span>),<\/span> \r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>7<\/span>,<\/span> 7<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>),<\/span>\r\n    grid<\/span>=<\/span>False<\/span>,<\/span> # \u4e00\u65e6 False \u306b\u3057\u3066...<\/span>\r\n    ax<\/span> =<\/span> ax<\/span>     # ax \u306e\u8a2d\u5b9a\u3092\u53cd\u6620<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
                      \n
                      \n
                      \n
                      <\/div>\n
                      \"\"<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":5612,"menu_order":8,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-10210","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/10210","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=10210"}],"version-history":[{"count":4,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/10210\/revisions"}],"predecessor-version":[{"id":10215,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/10210\/revisions\/10215"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/5612"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=10210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}