{"id":5614,"date":"2024-03-14T14:00:50","date_gmt":"2024-03-14T05:00:50","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=5614"},"modified":"2024-03-14T14:50:23","modified_gmt":"2024-03-14T05:50:23","slug":"%e5%8f%82%e8%80%83%ef%bc%9agnuplot-%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%9agnuplot-%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\uff1agnuplot \u3067\u521d\u7b49\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f"},"content":{"rendered":"

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In\u00a0[1]:<\/div>\n
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# \u5171\u901a\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u8a2d\u5b9a<\/span>\r\n\r\nreset<\/span>\r\n# \u306a\u3081\u3089\u304b\u306a\u66f2\u7dda\u306e\u305f\u3081\u306b<\/span>\r\nset<\/span> samples<\/span> 500<\/span>\r\n# x\u8ef8 y\u8ef8\u3092\u63cf\u304f<\/span>\r\nset<\/span> zeroaxis<\/span>\r\n# \u30b0\u30ea\u30c3\u30c9\uff08\u683c\u5b50\uff09\u3092\u63cf\u304f<\/span>\r\nset<\/span> grid<\/span>\r\n#<\/span>\r\nset<\/span> xlabel<\/span> \"x\"<\/span>\r\n#<\/span>\r\nset<\/span> key<\/span> sample<\/span> 1<\/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
$y = x^{-2}, \\ x^{-1}, \\ x^2, \\ x^3$ \u306e\u30b0\u30e9\u30d5\u4f8b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[2]:<\/div>\n
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set<\/span> xtics<\/span> 1<\/span>\r\nset<\/span> ytics<\/span> 2.5<\/span>\r\n\r\nplot<\/span> [<\/span>-5<\/span>:<\/span>5<\/span>][<\/span>-10<\/span>:<\/span>10<\/span>]<\/span> x<\/span>**<\/span>(<\/span>-2<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"x^{-2}\"<\/span>,<\/span> \\\r\n                    x<\/span>**<\/span>(<\/span>-1<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"x^{-1}\"<\/span>,<\/span> \\\r\n                    x<\/span>**<\/span>2<\/span> lw<\/span> 2<\/span> title<\/span> \"x^2\"<\/span>,<\/span> \\\r\n                    x<\/span>**<\/span>3<\/span> lw<\/span> 2<\/span> title<\/span> \"x^3\"<\/span><\/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[3]:<\/div>\n
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set<\/span> xtics<\/span> 1<\/span>\r\nset<\/span> ytics<\/span> 1<\/span>\r\n\r\nplot<\/span> [<\/span>0<\/span>:<\/span>5<\/span>][<\/span>0<\/span>:<\/span>5<\/span>]<\/span> sqrt<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"\u221ax\"<\/span>,<\/span> \\\r\n                1<\/span>\/<\/span>sqrt<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"1\/\u221ax\"<\/span><\/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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… \u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u95a2\u6570\u306e\u5206\u6bcd\u304c\u30bc\u30ed\u306b\u306a\u308b\u3088\u3046\u306a\u5834\u5408\u3067\u3082\u6587\u53e5\u3092\u8a00\u308f\u305a\u306b\u30b0\u30e9\u30d5\u3092\u63cf\u3044\u3066\u304f\u308c\u308b\u3002<\/p>\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[4]:<\/div>\n
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set<\/span> xtics<\/span> 1<\/span>\r\nset<\/span> ytics<\/span> 5<\/span>\r\n\r\nplot<\/span> [<\/span>-5<\/span>:<\/span>5<\/span>][<\/span>0<\/span>:<\/span>30<\/span>]<\/span> exp<\/span>(<\/span>-<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"e^{-x}\"<\/span>,<\/span> \\\r\n                  exp<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"e^x\"<\/span><\/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
$ 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[5]:<\/div>\n
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set<\/span> xtics<\/span> (<\/span>\"-2\u03c0\"<\/span> -2<\/span>*<\/span>pi<\/span>,<\/span> \"-3\u03c0\/2\"<\/span> -1<\/span>.5<\/span>*<\/span>pi<\/span>,<\/span> \"-\u03c0\"<\/span> -<\/span>pi<\/span>,<\/span> \"-\u03c0\/2\"<\/span> -0<\/span>.5<\/span>*<\/span>pi<\/span>,<\/span> \"0\"<\/span> 0<\/span>,<\/span> \\\r\n            \"2\u03c0\"<\/span>  2<\/span>*<\/span>pi<\/span>,<\/span>  \"3\u03c0\/2\"<\/span>  1.5<\/span>*<\/span>pi<\/span>,<\/span>  \"\u03c0\"<\/span>  pi<\/span>,<\/span>  \"\u03c0\/2\"<\/span>  0.5<\/span>*<\/span>pi<\/span>)<\/span>\r\nset<\/span> ytics<\/span> 1<\/span>\r\n\r\nplot<\/span> [<\/span>-2<\/span>*<\/span>pi<\/span>:<\/span>2<\/span>*<\/span>pi<\/span>+<\/span>0.2<\/span>]<\/span> [<\/span>-5<\/span>:<\/span>5<\/span>]<\/span> sin<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"sin x\"<\/span>,<\/span> \\\r\n                        cos<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"cos x\"<\/span>,<\/span> \\\r\n                        tan<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"tan x\"<\/span><\/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
$y = \\sin^{-1} x = \\arcsin x =$ 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[6]:<\/div>\n
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set<\/span> xtics<\/span> 0.2<\/span>\r\nset<\/span> ytics<\/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>,<\/span> \"\u03c0\/4\"<\/span>  pi<\/span>\/<\/span>4<\/span>,<\/span>\\\r\n            \"\u03c0\/2\"<\/span> pi<\/span>\/<\/span>2<\/span>,<\/span> \"3\u03c0\/4\"<\/span>  3<\/span>*<\/span>pi<\/span>\/<\/span>4<\/span>,<\/span>  \"\u03c0\"<\/span>  pi<\/span>)<\/span>\r\n\r\nplot<\/span> [<\/span>-1<\/span>:<\/span>1<\/span>]<\/span> asin<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"arcsin x\"<\/span>,<\/span> \\\r\n            acos<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"arccos x\"<\/span><\/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[7]:<\/div>\n
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set<\/span> xtics<\/span> 10<\/span>\r\nset<\/span> ytics<\/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>,<\/span> \\\r\n           \"\u03c0\/4\"<\/span> pi<\/span>\/<\/span>4<\/span>,<\/span> \"\u03c0\/2\"<\/span> pi<\/span>\/<\/span>2<\/span>)<\/span>\r\n\r\nset<\/span> key<\/span> top<\/span> left<\/span>\r\n\r\nplot<\/span> [<\/span>-30<\/span>:<\/span>30<\/span>]<\/span> [<\/span>-<\/span>pi<\/span>\/<\/span>2<\/span>:<\/span>pi<\/span>\/<\/span>2<\/span>]<\/span> atan<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"arctan x\"<\/span><\/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[8]:<\/div>\n
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set<\/span> xtics<\/span> 1<\/span>\r\nset<\/span> ytics<\/span> 20<\/span>\r\nset<\/span> key<\/span> right<\/span> bottom<\/span>\r\n\r\nplot<\/span> [<\/span>-5<\/span>:<\/span>5<\/span>][<\/span>-50<\/span>:<\/span>50<\/span>]<\/span> sinh<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"sinh x\"<\/span>,<\/span> \\\r\n            cosh<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"cosh x\"<\/span><\/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[9]:<\/div>\n
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set<\/span> xtics<\/span> 1<\/span>\r\nset<\/span> ytics<\/span> 0.2<\/span>\r\n\r\nplot<\/span> [<\/span>-5<\/span>:<\/span>5<\/span>]<\/span> tanh<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"tanh x\"<\/span><\/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<\/h3>\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[10]:<\/div>\n
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set<\/span> xtics<\/span> 5<\/span>\r\nset<\/span> ytics<\/span> 1<\/span>\r\nset<\/span> key<\/span> top<\/span> left<\/span>\r\n\r\nset<\/span> xrange<\/span> [<\/span>-20<\/span>:<\/span>20<\/span>]<\/span>\r\n\r\nplot<\/span> sample<\/span> \\\r\n  [<\/span>-20<\/span>:<\/span>20<\/span>]<\/span> asinh<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"sinh^{-1} x\"<\/span> ,<\/span>\\\r\n  [<\/span>1<\/span>:<\/span>20<\/span>]<\/span> acosh<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"cosh^{-1} x\"<\/span><\/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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set<\/span> xtics<\/span> 0.25<\/span>\r\nset<\/span> ytics<\/span> 2<\/span>\r\nset<\/span> xrange<\/span> [<\/span>-1<\/span>.05<\/span>:<\/span>1.05<\/span>]<\/span>\r\nset<\/span> yrange<\/span> [<\/span>-6<\/span>:<\/span>6<\/span>]<\/span>\r\n\r\nplot<\/span> sample<\/span> [<\/span>-0<\/span>.99999<\/span>:<\/span>0.99999<\/span>]<\/span> atanh<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 2<\/span> title<\/span> \"tanh^{-1} x\"<\/span><\/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":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-5614","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\/5614","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=5614"}],"version-history":[{"count":7,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/5614\/revisions"}],"predecessor-version":[{"id":8058,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/5614\/revisions\/8058"}],"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=5614"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}