{"id":7608,"date":"2024-02-14T14:02:08","date_gmt":"2024-02-14T05:02:08","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=7608"},"modified":"2024-02-14T15:29:45","modified_gmt":"2024-02-14T06:29:45","slug":"gnuplot-%e3%81%a7%e8%a4%87%e6%95%b0%e3%81%ae%e6%9b%b2%e7%b7%9a%e3%82%92%e4%b8%80%e6%b0%97%e3%81%ab%e3%82%b0%e3%83%a9%e3%83%95%e3%81%ab%e3%81%99%e3%82%8b%e4%be%8b%e3%81%a8%e3%82%aa%e3%83%97%e3%82%b7","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/7608\/","title":{"rendered":"gnuplot \u3066\u3099\u8907\u6570\u306e\u66f2\u7dda\u3092\u4e00\u6c17\u306b\u30b0\u30e9\u30d5\u306b\u3059\u308b\u4f8b\u3068\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u4f8b"},"content":{"rendered":"
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gnuplot \u3092\u4f7f\u3063\u3066\uff0c\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u5909\u3048\u3066\u8907\u6570\u306e\u66f2\u7dda\u3092\u4e00\u6c17\u306b\u30b0\u30e9\u30d5\u306b\u3059\u308b\u4f8b\u3002\u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u8a2d\u5b9a\u6cd5\u306b\u3064\u3044\u3066\u3082\u307e\u3068\u3081\u3066\u307f\u305f\u3002<\/p>\n

\u4f8b\uff1a\u659c\u65b9\u6295\u5c04<\/h3>\n

\u7c21\u5358\u306e\u305f\u3081\u306b\uff08\u521d\u901f\u5ea6 $v_0 \\rightarrow 1$, \u91cd\u529b\u52a0\u901f\u5ea6 $g \\rightarrow 1$ \u306a\u3069\u3068\u3057\u3066\uff09\u9069\u5b9c\u7121\u6b21\u5143\u5316\u3057\u305f\u89e3\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6642\u9593 $t$ \u3068\u6295\u5c04\u89d2\u5ea6 $\\theta$ \u306e\u95a2\u6570\u3068\u306a\u308b\u3002<\/p>\n

\\begin{eqnarray}
\nx(t, \\theta) &=& t \\cos\\theta \\\\
\ny(t, \\theta) &=& t \\sin\\theta – \\frac{1}{2} t^2
\n\\end{eqnarray}<\/p>\n

$t=0$ \u3067\u5730\u4e0a $y=0$ \u304b\u3089\u6295\u5c04\u3055\u308c\u305f\u7269\u4f53\u304c\u3075\u305f\u305f\u3073\u5730\u4e0a\u306b\u843d\u3061\u308b\u307e\u3067\u306e\u6ede\u7a7a\u6642\u9593 $t_d$ \u306f
\n$$t_d(\\theta) = 2 \\sin\\theta$$<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Jupyter Notebook \u3067\u306e\u30b0\u30e9\u30d5\u30b5\u30a4\u30ba\u306e\u8a2d\u5b9a\u4f8b<\/h3>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[1]:<\/div>\n
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%gnuplot<\/span> inline<\/span> svg<\/span> size<\/span> 600<\/span>,<\/span> 400<\/span> font<\/span> \",14\"<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u95a2\u6570\u306e\u5b9a\u7fa9<\/h3>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[2]:<\/div>\n
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# \u89d2\u5ea6\u306f\u5ea6\u3067<\/span>\r\nset<\/span> angles<\/span> degrees<\/span>\r\n\r\nx<\/span>(t, theta) =<\/span> t<\/span>*<\/span>cos<\/span>(<\/span>theta<\/span>)<\/span>\r\ny<\/span>(t, theta) =<\/span> t<\/span>*<\/span>sin<\/span>(<\/span>theta<\/span>)<\/span> -<\/span> t<\/span>**<\/span>2<\/span>\/<\/span>2<\/span>\r\ntd<\/span>(theta) =<\/span> 2<\/span>*<\/span>sin<\/span>(<\/span>theta<\/span>)<\/span>\r\n\r\n# \u5a92\u4ecb\u5909\u6570\u8868\u793a\u306e\u30b0\u30e9\u30d5<\/span>\r\nset<\/span> parametric<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\tdummy variable is t for curves, u\/v for surfaces\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u8ecc\u9053\u306e\u30b0\u30e9\u30d5<\/h3>\n
\u3068\u308a\u3042\u3048\u305a 1 \u672c\u306e\u8ecc\u9053\u3092\u63cf\u304f<\/h4>\n
$\\theta = 45^{\\circ}$ \u3067\u306e\u659c\u65b9\u6295\u5c04\u306e\u8ecc\u9053\u3092\u30b0\u30e9\u30d5\u306b\u3057\u3066\u307f\u308b\u3002<\/p>\n
\u307e\u305a\u306f\uff0c\u3068\u308a\u3042\u3048\u305a\u306e\u30b0\u30e9\u30d5\uff1a<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[3]:<\/div>\n
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theta<\/span> =<\/span> 45<\/span>\r\nplot<\/span> [<\/span>t<\/span>=<\/span>0<\/span>:<\/span>td<\/span>(<\/span>theta<\/span>)]<\/span> x<\/span>(<\/span>t<\/span>,<\/span> theta<\/span>)<\/span>,<\/span> y<\/span>(<\/span>t<\/span>,<\/span> theta<\/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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\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a\u4f8b<\/h4>\n
\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u8a2d\u5b9a\u3057\u3066\uff0c\u3082\u3046\u5c11\u3057\u4f53\u88c1\u3092\u6574\u3048\u307e\u3059\u3002<\/p>\n