{"id":7765,"date":"2024-02-25T15:22:41","date_gmt":"2024-02-25T06:22:41","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=7765"},"modified":"2024-02-26T10:38:14","modified_gmt":"2024-02-26T01:38:14","slug":"maxima-%e3%81%a7%e3%82%89%e3%81%9b%e3%82%93%e3%82%92%e7%ab%8b%e4%bd%93%e7%9a%84%e3%81%ab%e3%82%b0%e3%83%a9%e3%83%87%e3%83%bc%e3%82%b7%e3%83%a7%e3%83%b3%e3%81%a7%e6%8f%8f%e3%81%8f","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/7765\/","title":{"rendered":"Maxima \u3067\u87ba\u65cb\uff08\u3089\u305b\u3093\uff09\u3092\u7acb\u4f53\u7684\u306b\u30b0\u30e9\u30c7\u30fc\u30b7\u30e7\u30f3\u3067\u63cf\u304f"},"content":{"rendered":"

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\u95a2\u6570\u306e\u5b9a\u7fa9<\/h3>\n

\u3089\u305b\u3093\u8ecc\u9053\u3092\u3042\u3089\u308f\u3059 $x, y, z$ \u306f\u5a92\u4ecb\u5909\u6570\u8868\u793a\u3067<\/p>\n

\\begin{eqnarray}
\nx(u) &=& \\cos 2\\pi u \\\\
\ny(u) &=& \\sin 2\\pi u \\\\
\nz(u) &=& \\mbox{pitch} \\times u
\n\\end{eqnarray}<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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x<\/span>(<\/span>u<\/span>)<\/span>:=<\/span> cos<\/span>(<\/span>2*<\/span>%pi<\/span>*<\/span>u<\/span>)<\/span>$\r\ny<\/span>(<\/span>u<\/span>)<\/span>:=<\/span> sin<\/span>(<\/span>2*<\/span>%pi<\/span>*<\/span>u<\/span>)<\/span>$\r\nz<\/span>(<\/span>u<\/span>)<\/span>:=<\/span> pitch<\/span> *<\/span> u<\/span>$\r\n\r\npitch<\/span>:<\/span> 0.<\/span>01$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u30b0\u30e9\u30c7\u30fc\u30b7\u30e7\u30f3\u4ed8\u304d\u306e\u3089\u305b\u3093\u306e\u4f8b<\/h3>\n
\u524d\u5f8c\u95a2\u4fc2\u304c\u308f\u304b\u308b\u3088\u3046\u306b\uff0c\u624b\u524d\u3092 palette<\/code> \u3067\u6fc3\u3044\u3081\u306e\u8272\uff08dark-red<\/code>\uff09\uff0c\u5965\u3092\u8584\u76ee\u306e\u8272\uff08light-pink<\/code>\uff09\u306b\u3057\u3066\u3044\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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u0<\/span>:<\/span> -<\/span>0.<\/span>25$\r\nu1<\/span>:<\/span> 20.<\/span>25$\r\n\r\ndraw3d<\/span>(<\/span>\r\n  nticks<\/span> =<\/span> 1000<\/span>, axis_3d<\/span> =<\/span> false<\/span>, \r\n  line_width<\/span> =<\/span> 5<\/span>, xrange<\/span> =<\/span> [<\/span>-<\/span>2<\/span>, 2]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>2<\/span>, 2]<\/span>,\r\n  palette<\/span> =<\/span> [<\/span>dark<\/span>-<\/span>red<\/span>, red<\/span>, light<\/span>-<\/span>pink<\/span>]<\/span>, enhanced3d<\/span> =<\/span> y<\/span>(<\/span>u<\/span>)<\/span>, \r\n  colorbox<\/span>=<\/span>false<\/span>, \r\n  dimensions<\/span> =<\/span> [<\/span>640<\/span>,640]<\/span>,\r\n  user_preamble<\/span> =<\/span> \r\n    \"set zeroaxis;<\/span>\r\n     set xyplane 0;\"<\/span>,\r\n\r\n  parametric<\/span>(<\/span>x<\/span>(<\/span>u<\/span>)<\/span>, y<\/span>(<\/span>u<\/span>)<\/span>, z<\/span>(<\/span>u<\/span>)<\/span>, u<\/span>, u0<\/span>, u1<\/span>)<\/span>)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u30bd\u30ec\u30ce\u30a4\u30c9\u304c\u3064\u304f\u308b\u5185\u90e8\u78c1\u5834<\/h3>\n
\u30bd\u30ec\u30ce\u30a4\u30c9\u306f1\u672c\u306e\u96fb\u7dda\u3092\u87ba\u65cb\u72b6\u306b\u5bc6\u306b\u5dfb\u3044\u305f\u3082\u306e\u3067\u3042\u308b\u3002\u5341\u5206\u306b\u9577\u3044\u30bd\u30ec\u30ce\u30a4\u30c9\u3092\u6d41\u308c\u308b\u96fb\u6d41\u306b\u3088\u308a\uff0c\u30bd\u30ec\u30ce\u30a4\u30c9\u306e\u5185\u90e8\u306b\u306e\u307f\uff0c\u9577\u3055\u65b9\u5411\u306b\u4e00\u5b9a\u306e\u5185\u90e8\u78c1\u5834\u304c\u3067\u304d\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n