{"id":5659,"date":"2024-03-19T11:50:23","date_gmt":"2024-03-19T02:50:23","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=5659"},"modified":"2024-03-19T14:14:25","modified_gmt":"2024-03-19T05:14:25","slug":"%e5%8f%82%e8%80%83%ef%bc%9amatplotlib-%e3%81%a7%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f","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%9amatplotlib-%e3%81%a7%e5%88%9d%e7%ad%89%e9%96%a2%e6%95%b0%e3%81%ae%e3%82%b0%e3%83%a9%e3%83%95%e3%82%92%e6%8f%8f%e3%81%8f\/","title":{"rendered":"\u53c2\u8003\uff1aMatplotlib \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f"},"content":{"rendered":"

\u65e7\u300cPython \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u300d\u6539\u984c\u3002
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\u30e2\u30b8\u30e5\u30fc\u30eb\u306e import \u3068\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a<\/h3>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[1]:<\/div>\n
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import<\/span> matplotlib.pyplot<\/span> as<\/span> plt<\/span>\r\nimport<\/span> numpy<\/span> as<\/span> np<\/span>\r\n\r\n# \u4ee5\u4e0b\u306f\u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a\u3055\u305b\u308b\u8a2d\u5b9a<\/span>\r\n%<\/span>config<\/span> InlineBackend.figure_formats = ['svg']\r\n\r\n# font \u306e\u8a2d\u5b9a<\/span>\r\nplt<\/span>.<\/span>rcParams<\/span>[<\/span>'mathtext.fontset'<\/span>]<\/span> =<\/span> 'cm'<\/span>\r\nplt<\/span>.<\/span>rcParams<\/span>[<\/span>'font.family'<\/span>]<\/span> =<\/span> 'serif'<\/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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x<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 1000<\/span>)<\/span>\r\ny<\/span> =<\/span> x<\/span>**<\/span>(<\/span>-<\/span>1<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\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
\u4ee5\u4e0b\u3067\u306f\uff0cy<\/code> \u306e\u7d76\u5bfe\u5024\u304c\u3042\u308b\u7a0b\u5ea6\u4ee5\u4e0a\uff08\u4ee5\u4e0b\u306e\u4f8b\u3067\u306f abs(y) > 50<\/code>\uff09\u3067\u3042\u308c\u3070\uff0c\u305d\u306e\u70b9\u306f\u30b0\u30e9\u30d5\u306b\u63cf\u304b\u306a\u3044\u3088\u3046\u306b\u300c\u6b20\u640d\u5024\u300dnp.nan<\/code> \u306b\u7f6e\u304d\u63db\u3048\u3066\u3044\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[3]:<\/div>\n
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x<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 1000<\/span>)<\/span>\r\n\r\ny<\/span> =<\/span> x<\/span>**<\/span>(<\/span>-<\/span>1<\/span>)<\/span>\r\ny<\/span>[<\/span>abs<\/span>(<\/span>y<\/span>)<\/span> ><\/span> 50<\/span>]<\/span> =<\/span> np<\/span>.<\/span>nan<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\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$y = x^{-1}$ \u306e\u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3052\u306a\u3044\u3088\u3046\u306b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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plt<\/span>.<\/span>figure<\/span>(<\/span>figsize<\/span> =<\/span> [<\/span>6.4<\/span>,<\/span> 6.4<\/span>])<\/span>\r\nx<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 1000<\/span>)<\/span>\r\n\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> x<\/span>**<\/span>(<\/span>-<\/span>2<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$x^{-2}$\"<\/span>)<\/span>\r\n\r\n# \u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3052\u306a\u3044\u3088\u3046\u306b<\/span>\r\ny<\/span> =<\/span> x<\/span>**<\/span>(<\/span>-<\/span>1<\/span>)<\/span>\r\ny<\/span>[<\/span>abs<\/span>(<\/span>y<\/span>)<\/span> ><\/span> 50<\/span>]<\/span> =<\/span> np<\/span>.<\/span>nan<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> y<\/span>,<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$x^{-1}$\"<\/span>)<\/span>\r\n\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> x<\/span>**<\/span>2<\/span>,<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$x^2$\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> x<\/span>**<\/span>3<\/span>,<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$x^3$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 11<\/span>))<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span>=<\/span>12<\/span>)<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u306b<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8\u306f dashed \u306b<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span>=<\/span>12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\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<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[5]:<\/div>\n
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plt<\/span>.<\/span>figure<\/span>(<\/span>figsize<\/span> =<\/span> [<\/span>6.4<\/span>,<\/span> 4.8<\/span>])<\/span>\r\nx<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>0<\/span>,<\/span> 5<\/span>,<\/span> 500<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>sqrt<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$\\sqrt<\/span>{x}<\/span>$\"<\/span>)<\/span>\r\n# x = 0 \u306f\u9664\u304f\u3002<\/span>\r\nx<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>0.0001<\/span>,<\/span> 5<\/span>,<\/span> 500<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> 1<\/span>\/<\/span>np<\/span>.<\/span>sqrt<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$1\/\\sqrt<\/span>{x}<\/span>$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>0<\/span>,<\/span> 5<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>0<\/span>,<\/span> 5<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>0<\/span>,<\/span> 5<\/span>,<\/span> 6<\/span>))<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n# y \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>yticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>0<\/span>,<\/span> 5<\/span>,<\/span> 6<\/span>))<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u306b<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n\r\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span> =<\/span> 12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\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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plt<\/span>.<\/span>figure<\/span>(<\/span>figsize<\/span> =<\/span> [<\/span>6.4<\/span>,<\/span> 4.8<\/span>])<\/span>\r\nx<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 200<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>exp<\/span>(<\/span>-<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$e^{-x}$\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>exp<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$e^x$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 30<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 11<\/span>))<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u3067<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8 \u306f dashed \u3067<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span> =<\/span> 12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u4e09\u89d2\u95a2\u6570<\/h3>\n
\u307e\u305a\uff0c$ y = \\tan 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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x<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 1000<\/span>)<\/span>\r\ny<\/span> =<\/span> np<\/span>.<\/span>tan<\/span>(<\/span>x<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)<\/span>\r\n\r\n# \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$y=\\tan x$ \u306e\u30b0\u30e9\u30d5\u3082\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
\u4ee5\u4e0b\u3067\u306f\uff0cy<\/code> \u306e\u7d76\u5bfe\u5024\u304c\u3042\u308b\u7a0b\u5ea6\u4ee5\u4e0a\uff08\u4ee5\u4e0b\u306e\u4f8b\u3067\u306f abs(y) > 30<\/code>\uff09\u3067\u3042\u308c\u3070\uff0c\u305d\u306e\u70b9\u306f\u30b0\u30e9\u30d5\u306b\u63cf\u304b\u306a\u3044\u3088\u3046\u306b\u300c\u6b20\u640d\u5024\u300dnp.nan<\/code> \u306b\u7f6e\u304d\u63db\u3048\u3066\u3044\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[8]:<\/div>\n
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x<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 1000<\/span>)<\/span>\r\ny<\/span> =<\/span> np<\/span>.<\/span>tan<\/span>(<\/span>x<\/span>)<\/span>\r\ny<\/span>[<\/span>abs<\/span>(<\/span>y<\/span>)<\/span> ><\/span> 30<\/span>]<\/span> =<\/span> np<\/span>.<\/span>nan<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)<\/span>\r\n\r\n# \u6a2a\u8ef8\u7e26\u8ef8\u306e\u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$ y = \\sin x, \\ \\cos x, \\ \\tan x $ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002$y = \\tan x$ \u306e\u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3052\u306a\u3044\u3088\u3046\u306b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[9]:<\/div>\n
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plt<\/span>.<\/span>figure<\/span>(<\/span>figsize<\/span> =<\/span> [<\/span>6.4<\/span>,<\/span> 6.4<\/span>])<\/span>\r\nx<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>+<\/span>1<\/span>,<\/span> 200<\/span>)<\/span>\r\n\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>sin<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$\\sin x$\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>cos<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$\\cos x$\"<\/span>)<\/span>\r\n\r\n# \u4e0d\u9023\u7d9a\u70b9\u3092\u3064\u306a\u3052\u306a\u3044\u3088\u3046\u306b<\/span>\r\ny<\/span> =<\/span> np<\/span>.<\/span>tan<\/span>(<\/span>x<\/span>)<\/span>\r\ny<\/span>[<\/span>abs<\/span>(<\/span>y<\/span>)<\/span> ><\/span> 30<\/span>]<\/span> =<\/span> np<\/span>.<\/span>nan<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> y<\/span>,<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>tan x$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>+<\/span>1<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>\r\n  np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 2<\/span>*<\/span>np<\/span>.<\/span>pi<\/span>,<\/span> 9<\/span>),<\/span> \r\n  [<\/span>\"$-2\\pi$\"<\/span>,<\/span>\"$-3\\pi\/2$\"<\/span>,<\/span>\"$-\\pi$\"<\/span>,<\/span>\"$-\\pi\/2$\"<\/span>,<\/span>\r\n   \"$0$\"<\/span>,<\/span>\"$\\pi\/2$\"<\/span>,<\/span>\"$\\pi$\"<\/span>,<\/span>\"$3\\pi\/2$\"<\/span>,<\/span>\"$2\\pi$\"<\/span>])<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n# y \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>yticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 11<\/span>))<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u3067<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8 \u306f dashed \u3067<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span> =<\/span> 11<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u9006\u4e09\u89d2\u95a2\u6570<\/h3>\n
$y = \\sin^{-1} x = \\arcsin x =$ np.arcsin(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-1 \\leq x \\leq 1$<\/p>\n
$y = \\cos^{-1} x = \\arccos x =$ np.arccos(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-1 \\leq x \\leq 1$<\/p>\n
$y = \\tan^{-1} x = \\arctan x =$ np.arctan(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-\\infty < x < \\infty$<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[10]:<\/div>\n
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x<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>,<\/span> 200<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>arcsin<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>arcsin x$\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>arccos<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>arccos x$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>np<\/span>.<\/span>pi<\/span>\/<\/span>2<\/span>,<\/span> np<\/span>.<\/span>pi<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>,<\/span> 11<\/span>))<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n# y \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>yticks<\/span>(<\/span>\r\n  np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>np<\/span>.<\/span>pi<\/span>\/<\/span>2<\/span>,<\/span> np<\/span>.<\/span>pi<\/span>,<\/span> 7<\/span>),<\/span> \r\n  [<\/span>\"$-\\pi\/2$\"<\/span>,<\/span> \"\"<\/span>,<\/span> \"$0$\"<\/span>,<\/span> \"\"<\/span>,<\/span> \"$\\pi\/2$\"<\/span>,<\/span> \"\"<\/span>,<\/span> \"$\\pi$\"<\/span>])<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u3067<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8 \u306f dashed \u3067<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span>=<\/span>12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[11]:<\/div>\n
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x<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>30<\/span>,<\/span> 30<\/span>,<\/span> 1000<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>arctan<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>arctan x$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>30<\/span>,<\/span> 30<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>np<\/span>.<\/span>pi<\/span>\/<\/span>2<\/span>,<\/span> np<\/span>.<\/span>pi<\/span>\/<\/span>2<\/span>)<\/span>\r\n\r\n# x<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n# y \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>yticks<\/span>(<\/span>\r\n  np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>np<\/span>.<\/span>pi<\/span>\/<\/span>2<\/span>,<\/span> np<\/span>.<\/span>pi<\/span>\/<\/span>2<\/span>,<\/span> 5<\/span>),<\/span> \r\n  [<\/span>\"$-\\pi\/2$\"<\/span>,<\/span> \"$-\\pi\/4$\"<\/span>,<\/span> \"$0$\"<\/span>,<\/span> \"$\\pi\/4$\"<\/span>,<\/span> \"$\\pi\/2$\"<\/span>])<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u3067<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8 \u306f dashed \u3067<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span> =<\/span> 12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u9006\u4e09\u89d2\u95a2\u6570\uff0c\u3042\u3048\u3066\u4e00\u7dd2\u306b\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3068…<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[12]:<\/div>\n
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plt<\/span>.<\/span>figure<\/span>(<\/span>figsize<\/span> =<\/span> [<\/span>6.4<\/span>,<\/span> 4.8<\/span>])<\/span>\r\nx<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>,<\/span> 200<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>arcsin<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>arcsin x$\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>arccos<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>arccos x$\"<\/span>)<\/span>\r\n\r\nx<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>,<\/span> 200<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>arctan<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>arctan x$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>np<\/span>.<\/span>pi<\/span>\/<\/span>2<\/span>,<\/span> np<\/span>.<\/span>pi<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nxticl<\/span> =<\/span> []<\/span>\r\nfor<\/span> i<\/span> in<\/span> range<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 11<\/span>,<\/span> 2<\/span>):<\/span>\r\n    xticl<\/span>.<\/span>append<\/span>(<\/span>str<\/span>(<\/span>i<\/span>))<\/span>\r\n    xticl<\/span>.<\/span>append<\/span>(<\/span>\"\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>,<\/span> 21<\/span>),<\/span> xticl<\/span>[:<\/span>-<\/span>1<\/span>])<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n# y \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>yticks<\/span>(<\/span>\r\n  np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>np<\/span>.<\/span>pi<\/span>\/<\/span>2<\/span>,<\/span> np<\/span>.<\/span>pi<\/span>,<\/span> 7<\/span>),<\/span> \r\n  [<\/span>\"$-\\pi\/2$\"<\/span>,<\/span> \"\"<\/span>,<\/span> \"$0$\"<\/span>,<\/span> \"\"<\/span>,<\/span> \"$\\pi\/2$\"<\/span>,<\/span> \"\"<\/span>,<\/span> \"$\\pi$\"<\/span>])<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u3067<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8 \u306f dashed \u3067<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span>=<\/span>12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\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
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In\u00a0[13]:<\/div>\n
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x<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 200<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>sinh<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>sinh x$\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>cosh<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>cosh x$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>50<\/span>,<\/span> 50<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 11<\/span>))<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u3067<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8 \u306f dashed \u3067<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span> =<\/span> 12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[14]:<\/div>\n
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x<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 200<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>tanh<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>tanh x$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 11<\/span>))<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n# y \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>yticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>,<\/span> 11<\/span>))<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u3067<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8 \u306f dashed \u3067<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span> =<\/span> 12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u53cc\u66f2\u7dda\u95a2\u6570\u306e\u5024\u57df\u306f\u305d\u308c\u305e\u308c<\/p>\n
\\begin{eqnarray}
\n-\\infty < &\\sinh x& < \\infty \\\\
\n1 \\leq &\\cosh x& < \\infty \\\\
\n-1 \\leq &\\tanh x& \\leq 1
\n\\end{eqnarray}<\/p>\n
\u3042\u3048\u3066\u5168\u90e8\u4e00\u7dd2\u306b\u3057\u3066\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3068…<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[15]:<\/div>\n
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plt<\/span>.<\/span>figure<\/span>(<\/span>figsize<\/span> =<\/span> [<\/span>6.4<\/span>,<\/span> 6.4<\/span>])<\/span>\r\nx<\/span> =<\/span> np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 200<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>sinh<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>sinh x$\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>cosh<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>cosh x$\"<\/span>)<\/span>\r\nplt<\/span>.<\/span>plot<\/span>(<\/span>x<\/span>,<\/span> np<\/span>.<\/span>tanh<\/span>(<\/span>x<\/span>),<\/span> linewidth<\/span> =<\/span> 2<\/span>,<\/span> label<\/span>=<\/span>\"$<\/span>\\\\<\/span>tanh x$\"<\/span>)<\/span>\r\n\r\n# \u8868\u793a\u7bc4\u56f2<\/span>\r\nplt<\/span>.<\/span>xlim<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>)<\/span>\r\nplt<\/span>.<\/span>ylim<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>)<\/span>\r\n\r\n# x \u306e\u76ee\u76db<\/span>\r\nplt<\/span>.<\/span>xticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>5<\/span>,<\/span> 5<\/span>,<\/span> 11<\/span>))<\/span>\r\nplt<\/span>.<\/span>xlabel<\/span>(<\/span>'$x$'<\/span>,<\/span> fontsize<\/span> =<\/span> 12<\/span>)<\/span>\r\n# y<\/span>\r\nplt<\/span>.<\/span>yticks<\/span>(<\/span>np<\/span>.<\/span>linspace<\/span>(<\/span>-<\/span>10<\/span>,<\/span> 10<\/span>,<\/span> 21<\/span>))<\/span>\r\n\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\u7dda\uff09\u306f dotted \u3067<\/span>\r\nplt<\/span>.<\/span>grid<\/span>(<\/span>ls<\/span> =<\/span> ':'<\/span>)<\/span>\r\n# x\u8ef8 y\u8ef8 \u306f dashed \u3067<\/span>\r\nplt<\/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\nplt<\/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\nplt<\/span>.<\/span>legend<\/span>(<\/span>fontsize<\/span> =<\/span> 12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u9006\u53cc\u66f2\u7dda\u95a2\u6570<\/h3>\n
$ y = \\sinh^{-1} x = \\mbox{arsinh}\\ x = $ np.arcsinh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $ -\\infty < x < \\infty$<\/p>\n
$ y = \\cosh^{-1} x = \\mbox{arcosh}\\ x = $ np.arccosh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $ 1 \\leq x < \\infty$<\/p>\n
$ y = \\tanh^{-1} x = \\mbox{artanh}\\ x = $ np.arctanh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $ -1 < x < 1$<\/p>\n