{"id":2316,"date":"2022-02-25T17:41:05","date_gmt":"2022-02-25T08:41:05","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2316"},"modified":"2024-07-11T09:37:28","modified_gmt":"2024-07-11T00:37:28","slug":"%e5%85%a8%e5%be%ae%e5%88%86","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%a6c\/%e5%81%8f%e5%be%ae%e5%88%86%ef%bc%9a%e5%a4%9a%e5%a4%89%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e5%be%ae%e5%88%86\/%e5%85%a8%e5%be%ae%e5%88%86\/","title":{"rendered":"\u5168\u5fae\u5206"},"content":{"rendered":"<p>$$ dz \\equiv f(x + dx, y + dy) &#8211; f(x, y) $$ \u3067\u5b9a\u7fa9\u3055\u308c\u308b \\( dz\\) \u3092\u95a2\u6570 \\(z\\) \u306e\u5168\u5fae\u5206\u3068\u3044\u3046\u3002<br \/>\n<!--more--><\/p>\n<p id=\"yui_3_17_2_1_1645778372022_1407\">2\u5909\u6570\u95a2\u6570 \\( z = f(x, y) \\) \u306b\u304a\u3044\u3066\uff0c\\(x, y\\) \u304c\u305d\u308c\u305e\u308c<\/p>\n<p>$$x \\rightarrow x + dx, \\quad y \\rightarrow y + dy$$<\/p>\n<p>\u3068\u5909\u5316\u3059\u308b\u3068\u304d\uff0c\u5bfe\u5fdc\u3057\u3066 \\(z\\) \u3082\u5909\u5316\u3059\u308b\u3002\u3053\u3053\u3067<br \/>\n$$ dz \\equiv f(x + dx, y + dy) &#8211; f(x, y) $$ \u3067\u5b9a\u7fa9\u3055\u308c\u308b \\( dz\\) \u3092\u95a2\u6570 \\(z\\) \u306e<span style=\"font-family: helvetica, arial, sans-serif;\"><u><b>\u5168\u5fae\u5206<\/b><\/u><\/span>\u3068\u3044\u3046\u3002<\/p>\n<p>\\begin{eqnarray} dz &amp;=&amp; f(x + dx, y + dy) &#8211; f(x, y) \\\\<br \/>\n&amp;=&amp; f(x + dx, y+dy) &#8211; f(x, y+dy) + f(x, y+dy) &#8211; f(x, y) \\\\<br \/>\n&amp;=&amp; \\frac{\\partial}{\\partial x} f(x, y+dy) dx + \\frac{\\partial}{\\partial y} f(x,y) dy \\end{eqnarray}<\/p>\n<p>\u6700\u5f8c\u306e\u7b2c1\u9805\u306f\uff0c<\/p>\n<p>$$\\frac{\\partial}{\\partial x} f(x, y+dy) dx \\simeq<br \/>\n\\frac{\\partial}{\\partial x} \\left( f(x, y) + \\frac{\\partial f}{\\partial y} dy\\right) dx$$ 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dy$$<\/p>\n<p>\u3068\u306a\u308b\u3002\u3053\u306e\u3088\u3046\u306a\u8868\u8a18\u306f\u4ed6\u306e\u6388\u696d\uff0c\u305f\u3068\u3048\u3070\u71b1\u529b\u5b66\u3067\u3082\u898b\u304b\u3051\u307e\u3059\u3088\u306d\u3002\uff08\u4ee5\u524d\uff0c\u5b66\u79d1\u306e\u300c\u5730\u7403\u71b1\u529b\u5b66\u300d\u3068\u3044\u3046\u6388\u696d\u3082\u62c5\u5f53\u3057\u305f\u3053\u3068\u304c\u3042\u3063\u305f\u306e\u3067\u3002\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>$$ dz \\equiv f(x + dx, y + dy) &#8211; f(x, y) $$ \u3067\u5b9a\u7fa9\u3055\u308c\u308b \\( dz\\) \u3092\u95a2\u6570 \\(z\\) \u306e\u5168\u5fae\u5206\u3068\u3044\u3046\u3002<\/p><p><a class=\"more-link btn\" 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