{"id":5629,"date":"2024-03-15T10:20:13","date_gmt":"2024-03-15T01:20:13","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=5629"},"modified":"2024-03-15T10:23:22","modified_gmt":"2024-03-15T01:23:22","slug":"%e5%8f%82%e8%80%83%ef%bc%9amaxima-%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%9amaxima-%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\uff1aMaxima \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f"},"content":{"rendered":"

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draw2d()<\/code> \u7de8<\/h3>\n

draw2d()<\/code> \u306f\uff0c\u95a2\u6570\u306e\u5206\u6bcd\u304c\u30bc\u30ed\u306b\u306a\u3063\u305f\u308a\u3057\u3066\u3082\u6587\u53e5\u3092\u8a00\u308f\u305a\u306b\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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\u3079\u304d\u95a2\u6570<\/h4>\n

$y = x^{-2}, \\ x^{-1}, \\ x^2, \\ x^3$ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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In\u00a0[1]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  color<\/span> =<\/span> 1<\/span>, key<\/span> =<\/span> \"x^{-2}\"<\/span>,\r\n  explicit<\/span>(<\/span>x<\/span>**<\/span>(<\/span>-<\/span>2<\/span>)<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 2<\/span>, key<\/span> =<\/span> \"x^{-1}\"<\/span>,\r\n  explicit<\/span>(<\/span>x<\/span>**<\/span>(<\/span>-<\/span>1<\/span>)<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 3<\/span>, key<\/span> =<\/span> \"x^{2}\"<\/span>,\r\n  explicit<\/span>(<\/span>x<\/span>**<\/span>2<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 4<\/span>, key<\/span> =<\/span> \"x^{3}\"<\/span>,\r\n  explicit<\/span>(<\/span>x<\/span>**<\/span>3<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>, \r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>5<\/span>, 5]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>10<\/span>, 10]<\/span>, \r\n  xtics<\/span> =<\/span> 1<\/span>, ytics<\/span> =<\/span> 2.5<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>,\r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>\r\n)<\/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[2]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  color<\/span> =<\/span> 1<\/span>, key<\/span> =<\/span> \"x^{1\/2}\"<\/span>,\r\n  explicit<\/span>(<\/span>sqrt<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, 0<\/span>, 5<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 2<\/span>, key<\/span> =<\/span> \"x^{-1\/2}\"<\/span>,\r\n  explicit<\/span>(<\/span>1\/<\/span>sqrt<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, 0<\/span>, 5<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>0<\/span>, 5]<\/span>, yrange<\/span> =<\/span> [<\/span>0<\/span>, 5]<\/span>, \r\n  xtics<\/span> =<\/span> 1<\/span>, ytics<\/span> =<\/span> 1<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>,\r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>\r\n)<\/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<\/h4>\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[3]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  color<\/span> =<\/span> 1<\/span>, key<\/span> =<\/span> \"e^{-x}\"<\/span>,\r\n  explicit<\/span>(<\/span>exp<\/span>(<\/span>-<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 2<\/span>, key<\/span> =<\/span> \"e^{x}\"<\/span>,\r\n  explicit<\/span>(<\/span>exp<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>5<\/span>, 5]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>1<\/span>, 30]<\/span>, \r\n  xtics<\/span> =<\/span> 1<\/span>, ytics<\/span> =<\/span> 5<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>,\r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>, \r\n  user_preamble<\/span> =<\/span> \"set key sample 1;\"<\/span>\r\n)<\/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<\/h4>\n
$ y = \\sin x, \\ \\cos x, \\ \\tan x $ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  color<\/span> =<\/span> 1<\/span>, key<\/span> =<\/span> \"sin x\"<\/span>,\r\n  explicit<\/span>(<\/span>sin<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>2*<\/span>%pi<\/span>, 2*<\/span>%pi<\/span>+<\/span>0.3<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 2<\/span>, key<\/span> =<\/span> \"cos x\"<\/span>,\r\n  explicit<\/span>(<\/span>cos<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>2*<\/span>%pi<\/span>, 2*<\/span>%pi<\/span>+<\/span>0.3<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 3<\/span>, key<\/span> =<\/span> \"tan x\"<\/span>,\r\n  explicit<\/span>(<\/span>tan<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>2*<\/span>%pi<\/span>, 2*<\/span>%pi<\/span>+<\/span>0.3<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>2*<\/span>%pi<\/span>, 2*<\/span>%pi<\/span>+<\/span>0.<\/span>3]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>5<\/span>, 5]<\/span>, \r\n  xtics<\/span> =<\/span> {[<\/span>\"-2\u03c0\"<\/span>,-<\/span>2*<\/span>%pi<\/span>]<\/span>,[<\/span>\"-3\u03c0\/2\"<\/span>,-<\/span>1.<\/span>5*<\/span>%pi<\/span>]<\/span>,[<\/span>\"-\u03c0\"<\/span>,-<\/span>%pi<\/span>]<\/span>,[<\/span>\"-\u03c0\/2\"<\/span>,-<\/span>0.<\/span>5*<\/span>%pi<\/span>]<\/span>, \r\n           [<\/span>\"0\"<\/span>,0]<\/span>,\r\n           [<\/span>\"2\u03c0\"<\/span>, 2*<\/span>%pi<\/span>]<\/span>,[<\/span>\"3\u03c0\/2\"<\/span>, 1.<\/span>5*<\/span>%pi<\/span>]<\/span>,[<\/span>\"\u03c0\"<\/span>, %pi<\/span>]<\/span>,[<\/span>\"\u03c0\/2\"<\/span>, 0.<\/span>5*<\/span>%pi<\/span>]}<\/span>, \r\n  ytics<\/span> =<\/span> 1<\/span>, \r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>, \r\n  user_preamble<\/span> =<\/span> \"set key sample 1;\"<\/span>\r\n)<\/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<\/h4>\n
$y = \\sin^{-1} x = \\arcsin x =$ asin(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-1 \\leq x \\leq 1$
\n$y = \\cos^{-1} x = \\arccos x =$ acos(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-1 \\leq x \\leq 1$
\n$y = \\tan^{-1} x = \\arctan x =$ atan(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-\\infty < x < \\infty$<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[5]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  color<\/span> =<\/span> 1<\/span>, key<\/span> =<\/span> \"arcsin x\"<\/span>,\r\n  explicit<\/span>(<\/span>asin<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>1<\/span>, 1<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 2<\/span>, key<\/span> =<\/span> \"arccos x\"<\/span>,\r\n  explicit<\/span>(<\/span>acos<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>1<\/span>, 1<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>1<\/span>, 1]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>%pi<\/span>\/<\/span>2<\/span>, %pi<\/span>]<\/span>, \r\n  xtics<\/span> =<\/span> 0.2<\/span>, \r\n  ytics<\/span> =<\/span> {[<\/span>\"-\u03c0\/2\"<\/span>,-<\/span>%pi<\/span>\/<\/span>2]<\/span>, [<\/span>\"-\u03c0\/4\"<\/span>,-<\/span>%pi<\/span>\/<\/span>4]<\/span>, [<\/span>\"0\"<\/span>,0]<\/span>,\r\n           [<\/span>\"\u03c0\/4\"<\/span>,%pi<\/span>\/<\/span>4]<\/span>, [<\/span>\"\u03c0\/2\"<\/span>,%pi<\/span>\/<\/span>2]<\/span>, [<\/span>\"3\u03c0\/4\"<\/span>, 3*<\/span>%pi<\/span>\/<\/span>4]<\/span>,  [<\/span>\"\u03c0\"<\/span>, %pi<\/span>]}<\/span>, \r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[6]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  key<\/span> =<\/span> \"arctan x\"<\/span>,\r\n  explicit<\/span>(<\/span>atan<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>30<\/span>, 30<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>30<\/span>, 30]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>%pi<\/span>\/<\/span>2<\/span>, %pi<\/span>\/<\/span>2]<\/span>, \r\n  xtics<\/span> =<\/span> 10<\/span>, \r\n  ytics<\/span> =<\/span> {[<\/span>\"-\u03c0\/2\"<\/span>,-<\/span>%pi<\/span>\/<\/span>2]<\/span>, [<\/span>\"-\u03c0\/4\"<\/span>,-<\/span>%pi<\/span>\/<\/span>4]<\/span>, [<\/span>\"0\"<\/span>, 0]<\/span>,\r\n           [<\/span>\"\u03c0\/2\"<\/span>, %pi<\/span>\/<\/span>2]<\/span>,  [<\/span>\"\u03c0\/4\"<\/span>, %pi<\/span>\/<\/span>4]}<\/span>, \r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>,\r\n  user_preamble<\/span> =<\/span> \"set key top left;\"<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u53cc\u66f2\u7dda\u95a2\u6570<\/h4>\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[7]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  color<\/span> =<\/span> 1<\/span>, key<\/span> =<\/span> \"sinh x\"<\/span>,\r\n  explicit<\/span>(<\/span>sinh<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 2<\/span>, key<\/span> =<\/span> \"cosh x\"<\/span>,\r\n  explicit<\/span>(<\/span>cosh<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>5<\/span>, 5]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>50<\/span>, 50]<\/span>, \r\n  xtics<\/span> =<\/span> 1<\/span>, ytics<\/span> =<\/span> 20<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>,\r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>, \r\n  user_preamble<\/span> =<\/span> \"set key bottom right;\"<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[8]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  key<\/span> =<\/span> \"tanh x\"<\/span>,\r\n  explicit<\/span>(<\/span>tanh<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>5<\/span>, 5<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>5<\/span>, 5]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>1<\/span>, 1]<\/span>, \r\n  xtics<\/span> =<\/span> 1<\/span>, ytics<\/span> =<\/span> 0.2<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>,\r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>, \r\n  user_preamble<\/span> =<\/span> \"set key bottom right;\"<\/span>\r\n)<\/span>$\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\u53cc\u66f2\u7dda\u95a2\u6570<\/h4>\n
$ y = \\sinh^{-1} x = \\mbox{arsinh}\\ x = $ asinh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $ -\\infty < x < \\infty$<\/p>\n
$ y = \\cosh^{-1} x = \\mbox{arcosh}\\ x = $ acosh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $ 1 \\leq x < \\infty$<\/p>\n
$ y = \\tanh^{-1} x = \\mbox{artanh}\\ x = $ atanh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $ -1 < x < 1$<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[9]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  color<\/span> =<\/span> 1<\/span>, key<\/span> =<\/span> \"sinh^{-1} x\"<\/span>, \r\n  explicit<\/span>(<\/span>asinh<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>20<\/span>, 20<\/span>)<\/span>,\r\n  color<\/span> =<\/span> 2<\/span>, key<\/span> =<\/span> \"cosh^{-1} x\"<\/span>, \r\n  explicit<\/span>(<\/span>acosh<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, 1<\/span>, 20<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>20<\/span>, 20]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>4<\/span>, 4]<\/span>, \r\n  xtics<\/span> =<\/span> 5<\/span>, ytics<\/span> =<\/span> 1<\/span>, \r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>, \r\n  user_preamble<\/span> =<\/span> \"set key top left;\"<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[10]:<\/div>\n
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draw2d<\/span>(<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  key<\/span> =<\/span> \"tanh^{-1} x\"<\/span>,\r\n  explicit<\/span>(<\/span>atanh<\/span>(<\/span>x<\/span>)<\/span>, x<\/span>, -<\/span>0.99999<\/span>, 0.99999<\/span>)<\/span>,\r\n  \r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>1.05<\/span>, 1.<\/span>05]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>6<\/span>, 6]<\/span>, \r\n  xtics<\/span> =<\/span> 0.25<\/span>, ytics<\/span> =<\/span> 2<\/span>, xlabel<\/span> =<\/span> \"x\"<\/span>,\r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>, grid<\/span> =<\/span> true<\/span>, \r\n  user_preamble<\/span> =<\/span> \"set key top left;\"<\/span>\r\n)<\/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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plot2d()<\/code> \u7de8<\/h3>\n
plot2d()<\/code> \u306f\uff0c\u95a2\u6570\u306e\u5206\u6bcd\u304c\u30bc\u30ed\u306b\u306a\u3063\u305f\u308a\u3059\u308b\u3068\u6587\u53e5\u3092\u8a00\u3046\u304c\uff0c\u3061\u3083\u3093\u3068\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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<\/div>\n
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\u3079\u304d\u95a2\u6570<\/h4>\n
$y = x^{-2}, \\ x^{-1}, \\ x^2, \\ x^3$ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[11]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  [<\/span>x<\/span>**<\/span>(<\/span>-<\/span>2<\/span>)<\/span>, x<\/span>**<\/span>(<\/span>-<\/span>1<\/span>)<\/span>, x<\/span>**<\/span>2<\/span>, x<\/span>**<\/span>3]<\/span>, [<\/span>x<\/span>, -<\/span>5<\/span>, 5]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"x^{-2}\"<\/span>, \"x^{-1}\"<\/span>, \"x^2\"<\/span>, \"x^3\"<\/span>]<\/span>,\r\n  \r\n  [<\/span>y<\/span>, -<\/span>10<\/span>, 10]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 1]<\/span>, [<\/span>ytics<\/span>, 2.<\/span>5]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set key sample 1\"<\/span>]<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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<\/div>\n
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plot2d: expression evaluates to non-numeric value somewhere in plotting range.\r\nplot2d: expression evaluates to non-numeric value somewhere in plotting range.\r\n<\/pre>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$\\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[12]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  [<\/span>sqrt<\/span>(<\/span>x<\/span>)<\/span>, 1\/<\/span>sqrt<\/span>(<\/span>x<\/span>)]<\/span>, [<\/span>x<\/span>, 0<\/span>, 5]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"x^{1\/2}\"<\/span>, \"x^{-1\/2}\"<\/span>]<\/span>,\r\n  \r\n  [<\/span>y<\/span>, 0<\/span>, 5]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 1]<\/span>, [<\/span>ytics<\/span>, 1]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set key sample 1\"<\/span>]<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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plot2d: expression evaluates to non-numeric value somewhere in plotting range.\r\n<\/pre>\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<\/h4>\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[13]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  [<\/span>exp<\/span>(<\/span>-<\/span>x<\/span>)<\/span>, exp<\/span>(<\/span>x<\/span>)]<\/span>, [<\/span>x<\/span>, -<\/span>5<\/span>, 5]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"e^{-x}\"<\/span>, \"e^x\"<\/span>]<\/span>, \r\n  \r\n  [<\/span>y<\/span>, -<\/span>1<\/span>, 30]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 1]<\/span>, [<\/span>ytics<\/span>, 5]<\/span>\r\n)<\/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<\/h4>\n
$ y = \\sin x, \\ \\cos x, \\ \\tan x $ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[14]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  [<\/span>sin<\/span>(<\/span>x<\/span>)<\/span>, cos<\/span>(<\/span>x<\/span>)<\/span>, tan<\/span>(<\/span>x<\/span>)]<\/span>, [<\/span>x<\/span>, -<\/span>2*<\/span>%pi<\/span>, 2*<\/span>%pi<\/span>+<\/span>1]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"sin x\"<\/span>, \"cos x\"<\/span>, \"tan x\"<\/span>]<\/span>, \r\n  \r\n  [<\/span>y<\/span>, -<\/span>5<\/span>, 5]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, %pi<\/span>\/<\/span>2]<\/span>, [<\/span>ytics<\/span>, 1]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set format x '%3.1P \u03c0';set key sample 1;\"<\/span>]<\/span>\r\n)<\/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<\/h4>\n
$y = \\sin^{-1} x = \\arcsin x =$ asin(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-1 \\leq x \\leq 1$
\n$y = \\cos^{-1} x = \\arccos x =$ acos(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-1 \\leq x \\leq 1$
\n$y = \\tan^{-1} x = \\arctan x =$ atan(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-\\infty < x < \\infty$<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[15]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  [<\/span>asin<\/span>(<\/span>x<\/span>)<\/span>, acos<\/span>(<\/span>x<\/span>)]<\/span>, [<\/span>x<\/span>, -<\/span>1<\/span>, 1]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"arcsin x\"<\/span>, \"arccos x\"<\/span>]<\/span>, \r\n  \r\n  [<\/span>y<\/span>, -<\/span>%pi<\/span>\/<\/span>2<\/span>, %pi<\/span>]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 0.<\/span>2]<\/span>, [<\/span>ytics<\/span>, %pi<\/span>\/<\/span>4]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set format y '%4.2P \u03c0';\"<\/span>]<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[16]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  atan<\/span>(<\/span>x<\/span>)<\/span>, [<\/span>x<\/span>, -<\/span>30<\/span>, 30]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"arctan x\"<\/span>]<\/span>, [<\/span>ylabel<\/span>, \"\"<\/span>]<\/span>,\r\n  \r\n  [<\/span>y<\/span>, -<\/span>%pi<\/span>\/<\/span>2<\/span>, %pi<\/span>\/<\/span>2]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 10]<\/span>, [<\/span>ytics<\/span>, %pi<\/span>\/<\/span>4]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set format y '%4.2P \u03c0';set key top left;\"<\/span>]<\/span>\r\n)<\/span>$\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<\/h4>\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[17]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  [<\/span>sinh<\/span>(<\/span>x<\/span>)<\/span>, cosh<\/span>(<\/span>x<\/span>)]<\/span>, [<\/span>x<\/span>, -<\/span>5<\/span>, 5]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"sinh x\"<\/span>, \"cosh x\"<\/span>]<\/span>,\r\n  \r\n  [<\/span>y<\/span>, -<\/span>50<\/span>, 50]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 1]<\/span>, [<\/span>ytics<\/span>, 20]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set key bottom right;\"<\/span>]<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[18]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  tanh<\/span>(<\/span>x<\/span>)<\/span>, [<\/span>x<\/span>, -<\/span>5<\/span>, 5]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, [<\/span>ylabel<\/span>, \"\"<\/span>]<\/span>, \r\n  [<\/span>legend<\/span>, \"tanh x\"<\/span>]<\/span>,\r\n  \r\n  [<\/span>y<\/span>, -<\/span>1.1<\/span>, 1.<\/span>1]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 1]<\/span>, [<\/span>ytics<\/span>, 0.<\/span>2]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set key bottom right;\"<\/span>]<\/span>\r\n)<\/span>$\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\u53cc\u66f2\u7dda\u95a2\u6570<\/h4>\n
$ y = \\sinh^{-1} x = \\mbox{arsinh}\\ x = $ asinh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-\\infty < x < \\infty$<\/p>\n
$ y = \\cosh^{-1} x = \\mbox{arcosh}\\ x = $ acosh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $1 \\leq x < \\infty$<\/p>\n
$ y = \\tanh^{-1} x = \\mbox{artanh}\\ x = $ atanh(x)<\/code> \u306e\u5b9a\u7fa9\u57df\u306f $-1 < x < 1$<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[19]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  asinh<\/span>(<\/span>x<\/span>)<\/span>, [<\/span>x<\/span>, -<\/span>20<\/span>, 20]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"sinh^{-1} x\"<\/span>]<\/span>, [<\/span>ylabel<\/span>, \"\"<\/span>]<\/span>,\r\n  \r\n  [<\/span>y<\/span>, -<\/span>4<\/span>, 4]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 5]<\/span>, [<\/span>ytics<\/span>, 1]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set key top left;\"<\/span>]<\/span>\r\n)<\/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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Maxima \u306e plot2d()<\/code> \u3067\u306f $x$ \u306e\u7bc4\u56f2\u306e\u7570\u306a\u308b\u30b0\u30e9\u30d5\u3092\u4e00\u7dd2\u306b\u306f\u63cf\u3051\u306a\u3044\u3088\u3046\u3060\u3002$y = \\cosh^{-1} x$ \u306f $ 1 \\leq x < \\infty$ \u306a\u306e\u3067\uff0c$y = \\sinh^{-1} x$ \u3068\u306f\u5225\u306b\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[20]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  acosh<\/span>(<\/span>x<\/span>)<\/span>, [<\/span>x<\/span>, 1<\/span>, 20]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"cosh^{-1} x\"<\/span>]<\/span>, [<\/span>ylabel<\/span>, \"\"<\/span>]<\/span>,\r\n  \r\n  [<\/span>x<\/span>, -<\/span>20<\/span>, 20]<\/span>, [<\/span>y<\/span>, -<\/span>4<\/span>, 4]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 5]<\/span>, [<\/span>ytics<\/span>, 1]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set key top left;\"<\/span>]<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[21]:<\/div>\n
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plot2d<\/span>(<\/span>\r\n  atanh<\/span>(<\/span>x<\/span>)<\/span>, [<\/span>x<\/span>, -<\/span>0.99999<\/span>, 0.<\/span>99999]<\/span>, \r\n  [<\/span>style<\/span>, [<\/span>lines<\/span>, 2]]<\/span>, \r\n  [<\/span>legend<\/span>, \"tanh^{-1} x\"<\/span>]<\/span>, [<\/span>ylabel<\/span>, \"\"<\/span>]<\/span>,\r\n  \r\n  [<\/span>x<\/span>, -<\/span>1.1<\/span>, 1.<\/span>1]<\/span>, [<\/span>y<\/span>, -<\/span>6<\/span>, 6]<\/span>, grid2d<\/span>, [<\/span>xtics<\/span>, 0.<\/span>2]<\/span>, [<\/span>ytics<\/span>, 2]<\/span>, \r\n  [<\/span>gnuplot_preamble<\/span>, \"set key top left;\"<\/span>]<\/span>\r\n)<\/span>$\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","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":5612,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-5629","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\/5629","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=5629"}],"version-history":[{"count":5,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/5629\/revisions"}],"predecessor-version":[{"id":8082,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/5629\/revisions\/8082"}],"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=5629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}