{"id":2102,"date":"2022-02-22T13:43:05","date_gmt":"2022-02-22T04:43:05","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2102"},"modified":"2023-03-08T10:20:45","modified_gmt":"2023-03-08T01:20:45","slug":"%e5%8f%82%e8%80%83%ef%bc%9agnuplot-%e3%81%a7-sin-x-%e3%81%a8-x-%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\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e5%be%ae%e5%88%86\/%e5%8f%82%e8%80%83%ef%bc%9agnuplot-%e3%81%a7-sin-x-%e3%81%a8-x-%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 sin x \u3068 x \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f"},"content":{"rendered":"
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gnuplot \u3067 $y = \\sin x $ \u3068 $y = x$ \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3002<\/p>\n

$ |x| \\ll 1 $ \u3067\u306f2\u3064\u306e\u30b0\u30e9\u30d5\u306f\u307b\u3068\u3093\u3069\u91cd\u306a\u3063\u3066\u3044\u3066 $ \\sin x \\simeq x $ \u3059\u306a\u308f\u3061 $\\displaystyle \\frac{\\sin x}{x} \\simeq 1$ \u3067\u3042\u308b\u3053\u3068\u3092\u898b\u3066\u78ba\u304b\u3081\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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$ – \\pi \\leq x \\leq \\pi$ \u306e\u7bc4\u56f2\u3067 $y = \\sin x$ \u3068 $ y = x$ \u3092\u30d7\u30ed\u30c3\u30c8\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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%gnu<\/span>plot<\/span> inline<\/span> svg<\/span> size<\/span> 600<\/span>,<\/span>600<\/span> font<\/span> \"Times, 18\"<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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reset<\/span>\r\nset<\/span> key<\/span> top<\/span> left<\/span>\r\nset<\/span> xrange<\/span> [<\/span>-<\/span>pi<\/span>:<\/span>pi<\/span>]<\/span>\r\nset<\/span> yrange<\/span> [<\/span>-<\/span>pi<\/span>:<\/span>pi<\/span>]<\/span>\r\nset<\/span> size<\/span> square<\/span>\r\nset<\/span> zeroaxis<\/span>\r\nset<\/span> grid<\/span>\r\n\r\n# \u6b21\u306b\u62e1\u5927\u8868\u793a\u3059\u308b\u90e8\u5206\u3092\u77e9\u5f62\u3067\u56f2\u3080<\/span>\r\nset<\/span> object<\/span> 1<\/span> rect<\/span> from<\/span> -1<\/span>,<\/span> -1<\/span> to<\/span> 1<\/span>,<\/span> 1<\/span> fs<\/span> empty<\/span> border<\/span> 4<\/span> lw<\/span> 2<\/span>\r\n\r\nplot<\/span> sin<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 3<\/span> lc<\/span> \"red\"<\/span>,<\/span> x<\/span> lw<\/span> 1.5<\/span> lc<\/span> \"blue\"<\/span> \r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$ – 1 \\leq x \\leq 1$ \u306e\u7bc4\u56f2\u3067 $y = \\sin x$ \u3068 $ y = x$ \u3092\u30d7\u30ed\u30c3\u30c8\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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reset<\/span>\r\nset<\/span> key<\/span> top<\/span> left<\/span>\r\nset<\/span> xrange<\/span> [<\/span>-1<\/span>:<\/span>1<\/span>]<\/span>\r\nset<\/span> yrange<\/span> [<\/span>-1<\/span>:<\/span>1<\/span>]<\/span>\r\nset<\/span> size<\/span> square<\/span>\r\nset<\/span> zeroaxis<\/span>\r\nset<\/span> grid<\/span>\r\n\r\n# \u6b21\u306b\u62e1\u5927\u8868\u793a\u3059\u308b\u90e8\u5206\u3092\u77e9\u5f62\u3067\u56f2\u3080<\/span>\r\nset<\/span> object<\/span> 1<\/span> rect<\/span> from<\/span> -0<\/span>.1<\/span>,<\/span> -0<\/span>.1<\/span> to<\/span> 0.1<\/span>,<\/span> 0.1<\/span> fs<\/span> empty<\/span> border<\/span> 4<\/span> lw<\/span> 2<\/span>\r\n\r\nplot<\/span> sin<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 3<\/span> lc<\/span> \"red\"<\/span>,<\/span> x<\/span> lw<\/span> 1.5<\/span> lc<\/span> \"blue\"<\/span> \r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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$ – 0.1 \\leq x \\leq 0.1$ \u306e\u7bc4\u56f2\u3067 $y = \\sin x$ \u3068 $ y = x$ \u3092\u30d7\u30ed\u30c3\u30c8\u3002\u307b\u3068\u3093\u3069\u91cd\u306a\u3063\u3066\u3044\u3066\uff0c\u533a\u5225\u304c\u3064\u304d\u306b\u304f\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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reset<\/span>\r\nset<\/span> key<\/span> top<\/span> left<\/span>\r\nset<\/span> xrange<\/span> [<\/span>-0<\/span>.1<\/span>:<\/span>0.1<\/span>]<\/span>\r\nset<\/span> yrange<\/span> [<\/span>-0<\/span>.1<\/span>:<\/span>0.1<\/span>]<\/span>\r\nset<\/span> size<\/span> square<\/span>\r\nset<\/span> zeroaxis<\/span>\r\nset<\/span> grid<\/span>\r\n\r\nplot<\/span> sin<\/span>(<\/span>x<\/span>)<\/span> lw<\/span> 3<\/span> lc<\/span> \"red\"<\/span>,<\/span> x<\/span> lw<\/span> 1.5<\/span> lc<\/span> \"blue\"<\/span> \r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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gnuplot \u3067 $y = \\sin x $ \u3068 $y = x$ \u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3002<\/p>\n
$ |x| \\ll 1 $ \u3067\u306f2\u3064\u306e\u30b0\u30e9\u30d5\u306f\u307b\u3068\u3093\u3069\u91cd\u306a\u3063\u3066\u3044\u3066 $ \\sin x \\simeq x $ \u3059\u306a\u308f\u3061 $\\displaystyle \\frac{\\sin x}{x} \\simeq 1$ \u3067\u3042\u308b\u3053\u3068\u3092\u898b\u3066\u78ba\u304b\u3081\u308b\u3002<\/p>
\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":2096,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2102","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\/2102","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=2102"}],"version-history":[{"count":10,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2102\/revisions"}],"predecessor-version":[{"id":5595,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2102\/revisions\/5595"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2096"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=2102"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}