{"id":3958,"date":"2022-09-23T16:32:15","date_gmt":"2022-09-23T07:32:15","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=3958"},"modified":"2025-06-07T10:25:59","modified_gmt":"2025-06-07T01:25:59","slug":"maxima-%e3%81%a7%e5%b0%84%e6%96%b9%e6%8a%95%e5%b0%84%e3%81%ae%e9%80%9f%e5%ba%a6%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%a8%e8%bb%8c%e9%81%93%e3%82%92%e6%8f%8f%e3%81%8f","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/3958\/","title":{"rendered":"Maxima \u3067\u659c\u65b9\u6295\u5c04\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3068\u8ecc\u9053\u3092\u63cf\u304f"},"content":{"rendered":"

\u300cgnuplot \u3067\u659c\u65b9\u6295\u5c04\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3068\u8ecc\u9053\u3092\u63cf\u304f<\/a>\u300d\u306e Maxima \u7248\u3002<\/p>\n

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$\\theta = 45$\u00b0 \u306e\u659c\u65b9\u6295\u5c04\u3092\u898f\u683c\u5316\u3057\u305f\u6642\u9593\u3068\u5ea7\u6a19\u3067\u66f8\u304f\u3068\u3053\u3093\u306a\u611f\u3058\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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In\u00a0[1]:<\/div>\n
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x<\/span>(<\/span>t<\/span>)<\/span>:=<\/span> 2<\/span> *<\/span> t<\/span>$\r\ny<\/span>(<\/span>t<\/span>)<\/span>:=<\/span> 2<\/span> *<\/span> t<\/span> -<\/span> t<\/span>**<\/span>2$\r\n\r\nvx<\/span>(<\/span>t<\/span>)<\/span>:=<\/span> 2$\r\nvy<\/span>(<\/span>t<\/span>)<\/span>:=<\/span> 2<\/span> -<\/span> 2*<\/span>t<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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point \u3068 vector \u306e\u30c7\u30fc\u30bf\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[2]:<\/div>\n
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\/* \u4e38\u3092\u6253\u3064\u5ea7\u6a19\u306e\u30ea\u30b9\u30c8 *\/<\/span>\r\npointxy<\/span>:<\/span> makelist<\/span>([<\/span>x<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)<\/span>, y<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)]<\/span>, t<\/span>, 0<\/span>, 4<\/span>)<\/span>$\r\n\r\nscaling<\/span>:<\/span> 0.<\/span>2$\r\n\/* 2\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306f vector([\u59cb\u70b9\u306ex, \u59cb\u70b9\u306ey], [x\u6210\u5206, y\u6210\u5206]) *\/<\/span>\r\n\/* \u901f\u5ea6\u30d9\u30af\u30c8\u30eb *\/<\/span>\r\nvecV<\/span>:<\/span> makelist<\/span>(<\/span>\r\n        vector<\/span>([<\/span>x<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)<\/span>, y<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)]<\/span>, scaling<\/span>*<\/span>[<\/span>vx<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)<\/span>, vy<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)])<\/span>, t<\/span>, 0<\/span>, 4<\/span>)<\/span>$\r\n\r\n\/* \u901f\u5ea6\u306e x \u6210\u5206 *\/<\/span>\r\nvecVx<\/span>:<\/span> makelist<\/span>(<\/span>\r\n         vector<\/span>([<\/span>x<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)<\/span>, y<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)]<\/span>, scaling<\/span>*<\/span>[<\/span>vx<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)<\/span>, 0])<\/span>, t<\/span>, 0<\/span>, 4<\/span>)<\/span>$\r\n\r\n\/* \u901f\u5ea6\u306e y \u6210\u5206 *\/<\/span>\r\nvecVy<\/span>:<\/span> makelist<\/span>(<\/span>\r\n         vector<\/span>([<\/span>x<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)<\/span>, y<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)]<\/span>, scaling<\/span>*<\/span>[<\/span>0<\/span>, vy<\/span>(<\/span>t<\/span>\/<\/span>2<\/span>)])<\/span>, t<\/span>, 0<\/span>, 4<\/span>)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\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  \/* \u5168\u4f53\u7684\u306a\u30d5\u30a9\u30f3\u30c8\u306e\u8a2d\u5b9a\u4f8b *\/<\/span>\r\n  font<\/span> =<\/span> \"Arial\"<\/span>, font_size<\/span> =<\/span> 14<\/span>, \r\n  \/* title \u306e\u30d5\u30a9\u30f3\u30c8\u30b5\u30a4\u30ba\u306e\u5909\u66f4\u4f8b\u3002gnuplot \u306e\u6d41\u5100\u3002 *\/<\/span>\r\n  title<\/span> =<\/span> \"{\/=16 \u659c\u65b9\u6295\u5c04\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3068\u8ecc\u9053}\"<\/span>, \r\n\r\n  \/* \u8868\u793a\u7bc4\u56f2 *\/<\/span>\r\n  xrange<\/span> =<\/span> [<\/span>-<\/span>0.5<\/span>, 4.<\/span>5]<\/span>, yrange<\/span> =<\/span> [<\/span>-<\/span>0.5<\/span>, 2]<\/span>,\r\n  \/* \u7e26\u6a2a\u6bd4 *\/<\/span>\r\n  proportional_axes<\/span>=<\/span>xy<\/span>,\r\n  \/* \u30b0\u30ea\u30c3\u30c9\u3002y \u8ef8\u306e\u76ee\u76db\u3092 1 \u3054\u3068\u306b *\/<\/span>\r\n  grid<\/span> =<\/span> true<\/span>,\r\n  ytics<\/span> =<\/span> 1<\/span>, \r\n  xaxis<\/span> =<\/span> true<\/span>, yaxis<\/span> =<\/span> true<\/span>,\r\n  \r\n  \/* \u659c\u65b9\u6295\u5c04\u306e\u8ecc\u9053 *\/<\/span>\r\n  line_width<\/span> =<\/span> 2<\/span>, \r\n  color<\/span> =<\/span> purple<\/span>,\r\n  parametric<\/span>(<\/span>x<\/span>(<\/span>t<\/span>)<\/span>, y<\/span>(<\/span>t<\/span>)<\/span>, t<\/span>, 0<\/span>, 2<\/span>)<\/span>, \r\n\r\n  \/* \u30d9\u30af\u30c8\u30eb\u306e\u77e2\u306e\u8a2d\u5b9a *\/<\/span>\r\n  head_length<\/span> =<\/span> 0.1<\/span>,\r\n  head_angle<\/span>  =<\/span> 20<\/span>, \r\n  \r\n  \/* \u901f\u5ea6\u306e x \u6210\u5206 *\/<\/span>\r\n  color<\/span> =<\/span> blue<\/span>, \r\n  line_width<\/span> =<\/span> 1.5<\/span>,\r\n  \/* 1\u3064\u3060\u3051\u306b\u51e1\u4f8b\u3092\u3064\u3051\u308b *\/<\/span> \r\n  key<\/span> =<\/span> \"\u901f\u5ea6\u306e x \u6210\u5206\"<\/span>,\r\n  vecVx<\/span>[<\/span>1]<\/span>, \r\n  key<\/span> =<\/span> \"\"<\/span>,\r\n  vecVx<\/span>, \r\n\r\n  \/* \u901f\u5ea6\u306e y \u6210\u5206 *\/<\/span>\r\n  color<\/span> =<\/span> red<\/span>, \r\n  line_width<\/span> =<\/span> 1.5<\/span>,\r\n  \/* 1\u3064\u3060\u3051\u306b\u51e1\u4f8b\u3092\u3064\u3051\u308b *\/<\/span> \r\n  key<\/span> =<\/span> \"\u901f\u5ea6\u306e y \u6210\u5206\"<\/span>,\r\n  vecVy<\/span>[<\/span>1]<\/span>, \r\n  key<\/span> =<\/span> \"\"<\/span>,\r\n  vecVy<\/span>, \r\n\r\n  \/* \u901f\u5ea6\u30d9\u30af\u30c8\u30eb *\/<\/span>\r\n  color<\/span> =<\/span> black<\/span>, \r\n  line_width<\/span> =<\/span> 2<\/span>,\r\n  \/* 1\u3064\u3060\u3051\u306b\u51e1\u4f8b\u3092\u3064\u3051\u308b *\/<\/span> \r\n  key<\/span> =<\/span> \"\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\"<\/span>,\r\n  vecV<\/span>[<\/span>1]<\/span>,\r\n  key<\/span> =<\/span> \"\"<\/span>,\r\n  vecV<\/span>, \r\n  \r\n  \/* \u4e38\u3092\u6253\u3064 *\/<\/span>\r\n  point_type<\/span> =<\/span> 6<\/span>,\r\n  point_size<\/span> =<\/span> 0.7<\/span>,\r\n  color<\/span> =<\/span> dark<\/span>-<\/span>green<\/span>,\r\n  points<\/span>(<\/span>pointxy<\/span>)<\/span>\r\n)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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\/* \u5f18\u5927 JupyterHub \u3067\u306f <\/span>\r\n   set_draw_defaults(file_name=\"~\/.maxplot\",terminal='svg)$<\/span>\r\n   \u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3002*\/<\/span>\r\nsystem<\/span>(<\/span>\"cp ~\/.maxplot.svg .\/maxvec-shahou.svg\"<\/span>)<\/span>$\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
\u300cgnuplot \u3067\u659c\u65b9\u6295\u5c04\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3068\u8ecc\u9053\u3092\u63cf\u304f\u300d\u306e Maxima \u7248\u3002<\/p>
\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[14,25],"tags":[],"class_list":["post-3958","post","type-post","status-publish","format-standard","hentry","category-maxima","category-25","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/3958","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"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=3958"}],"version-history":[{"count":5,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/3958\/revisions"}],"predecessor-version":[{"id":4163,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/3958\/revisions\/4163"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=3958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=3958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=3958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}