{"id":5343,"date":"2014-04-14T06:00:15","date_gmt":"2014-04-13T21:00:15","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=5343"},"modified":"2014-09-10T16:37:30","modified_gmt":"2014-09-10T07:37:30","slug":"post-5343","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5343","title":{"rendered":"\u76f4\u4ea4\u66f2\u7dda\u5ea7\u6a19\u3068\u30e4\u30b3\u30d3\u30a2\u30f3"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p>\u3000\u4ee5\u4e0b\u306e <em>\u5909\u63db\u5f0f<\/em> \u306f<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=x+%3D+f%28u_1%2C+u_2%2C+u_3%29%5C+y+%3D+g%28u_1%2C+u_2%2C+u_3%29%5C+z+%3D+h%28u_1%2C+u_2%2C+u_3%29%5Ccdots%2817%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='x = f(u_1, u_2, u_3)\\ y = g(u_1, u_2, u_3)\\ z = h(u_1, u_2, u_3)\\cdots(17)' title='x = f(u_1, u_2, u_3)\\ y = g(u_1, u_2, u_3)\\ z = h(u_1, u_2, u_3)\\cdots(17)' class='latex' \/><\/p>\n<p>\u3053\u3053\u3067\u4ee5\u4e0b\u306e\u524d\u63d0\u3092\u7f6e\u304d\u307e\u3059\uff0e\u3064\u307e\u308a <img src='https:\/\/s0.wp.com\/latex.php?latex=f&#038;bg=T&#038;fg=000000&#038;s=0' alt='f' title='f' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=g&#038;bg=T&#038;fg=000000&#038;s=0' alt='g' title='g' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=h&#038;bg=T&#038;fg=000000&#038;s=0' alt='h' title='h' class='latex' \/> \u306f\u9023\u7d9a\u3067\u3042\u308a\uff0c\u9023\u7d9a\u306a\u504f\u5fae\u5206\u3092\u6709\u3057\uff0c\u76f4\u4ea4\u5ea7\u6a19\u7cfb <img src='https:\/\/s0.wp.com\/latex.php?latex=xyz&#038;bg=T&#038;fg=000000&#038;s=0' alt='xyz' title='xyz' class='latex' \/> \u3068 <img src='https:\/\/s0.wp.com\/latex.php?latex=u_1u_2u_3&#038;bg=T&#038;fg=000000&#038;s=0' alt='u_1u_2u_3' title='u_1u_2u_3' class='latex' \/> \u3068\u306e\u9593\u3067\u70b9\u304c 1 \u5bfe 1 \u306b\u5bfe\u5fdc\u3059\u308b\u5358\u4e00\u306e\u9006\u95a2\u6570\u304c\u78ba\u7acb\u3057\u3066\u3044\u308b\u3068\u3057\u307e\u3059\uff0e\u30d9\u30af\u30c8\u30eb\u8a18\u6cd5\u306b\u304a\u3044\u3066\u306f\u5909\u63db\u5f0f (17) \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u3051\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Br%7D+%3D+x%5Cbold%7Bi%7D+%2B+y%5Cbold%7Bj%7D+%2B+z%5Cbold%7Bk%7D+%3D+f%28u_1%2C+u_2%2C+u_3%29%5Cbold%7Bi%7D+%2B+g%28u_1%2C+u_2%2C+u_3%29%5Cbold%7Bj%7D+%2B+h%28u_1%2C+u_2%2C+u_3%29%5Cbold%7Bk%7D%5Ccdots+%2818%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{r} = x\\bold{i} + y\\bold{j} + z\\bold{k} = f(u_1, u_2, u_3)\\bold{i} + g(u_1, u_2, u_3)\\bold{j} + h(u_1, u_2, u_3)\\bold{k}\\cdots (18)' title='\\bold{r} = x\\bold{i} + y\\bold{j} + z\\bold{k} = f(u_1, u_2, u_3)\\bold{i} + g(u_1, u_2, u_3)\\bold{j} + h(u_1, u_2, u_3)\\bold{k}\\cdots (18)' class='latex' \/><\/p>\n<p>\u3000\u3042\u308b\u70b9 <img src='https:\/\/s0.wp.com\/latex.php?latex=P&#038;bg=T&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' \/> \u306f <em>\u76f4\u4ea4\u5ea7\u6a19<\/em> <img src='https:\/\/s0.wp.com\/latex.php?latex=%28x%2C+y%2C+z%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='(x, y, z)' title='(x, y, z)' class='latex' \/> \u3060\u3051\u3067\u5b9a\u7fa9\u51fa\u6765\u308b\u3060\u3051\u3067\u306a\u304f\uff0c\u5ea7\u6a19 <img src='https:\/\/s0.wp.com\/latex.php?latex=%28u_1%2C+u_2%2C+u_3%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='(u_1, u_2, u_3)' title='(u_1, u_2, u_3)' class='latex' \/> \u306b\u3088\u3063\u3066\u3082\u5b9a\u7fa9\u3067\u304d\u307e\u3059\uff0e\u3053\u306e <img src='https:\/\/s0.wp.com\/latex.php?latex=%28u_1%2C+u_2%2C+u_3%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='(u_1, u_2, u_3)' title='(u_1, u_2, u_3)' class='latex' \/> \u3092\u305d\u306e\u70b9\u306e <em>\u66f2\u7dda\u5ea7\u6a19<\/em> \u3068\u547c\u3073\u307e\u3059\uff0e<\/p>\n<p>\u3000\u4eee\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=u_2&#038;bg=T&#038;fg=000000&#038;s=0' alt='u_2' title='u_2' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=u_3&#038;bg=T&#038;fg=000000&#038;s=0' alt='u_3' title='u_3' class='latex' \/> \u304c\u5b9a\u6570\u3067\u3042\u308a\uff0c <img src='https:\/\/s0.wp.com\/latex.php?latex=u_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='u_1' title='u_1' class='latex' \/> \u304c\u5909\u5316\u3059\u308b\u3068\uff0c<img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Br%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{r}' title='\\bold{r}' class='latex' \/> \u306f <em>u<sub>1<\/sub> \u5ea7\u6a19\u66f2\u7dda<\/em> \u3068\u547c\u3070\u308c\u308b\u66f2\u7dda\u3092\u8a18\u8ff0\u3057\u307e\u3059\uff0e\u540c\u69d8\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=P&#038;bg=T&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' \/> \u3092\u901a\u308b <img src='https:\/\/s0.wp.com\/latex.php?latex=u_2&#038;bg=T&#038;fg=000000&#038;s=0' alt='u_2' title='u_2' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=u_3&#038;bg=T&#038;fg=000000&#038;s=0' alt='u_3' title='u_3' class='latex' \/> \u5ea7\u6a19\u66f2\u7dda\u3092\u5b9a\u7fa9\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p>\u3000\u5f0f (18) \u304b\u3089\u4ee5\u4e0b\u304c\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+d%5Cbold%7Br%7D+%3D+%5Cfrac%7B%5Cpartial%5Cbold%7Br%7D%7D%7B%5Cpartial+u_1%7Ddu_1+%2B+%5Cfrac%7B%5Cpartial%5Cbold%7Br%7D%7D%7B%5Cpartial+u_2%7Ddu_2+%2B+%5Cfrac%7B%5Cpartial%5Cbold%7Br%7D%7D%7B%5Cpartial+u_3%7Ddu_3+%5Ccdots+%2819%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle d\\bold{r} = \\frac{\\partial\\bold{r}}{\\partial u_1}du_1 + \\frac{\\partial\\bold{r}}{\\partial u_2}du_2 + \\frac{\\partial\\bold{r}}{\\partial u_3}du_3 \\cdots (19)' title='\\displaystyle d\\bold{r} = \\frac{\\partial\\bold{r}}{\\partial u_1}du_1 + \\frac{\\partial\\bold{r}}{\\partial u_2}du_2 + \\frac{\\partial\\bold{r}}{\\partial u_3}du_3 \\cdots (19)' class='latex' \/><\/p>\n<p>\u3000\u30d9\u30af\u30c8\u30eb <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cpartial%5Cbold%7Br%7D%2F%5Cpartial+u_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\partial\\bold{r}\/\\partial u_1' title='\\partial\\bold{r}\/\\partial u_1' class='latex' \/> \u306f\u70b9 <img src='https:\/\/s0.wp.com\/latex.php?latex=P&#038;bg=T&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' \/> \u306b\u304a\u3051\u308b <img src='https:\/\/s0.wp.com\/latex.php?latex=u_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='u_1' title='u_1' class='latex' \/> \u5ea7\u6a19\u66f2\u7dda\u3078\u306e\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u3067\u3059\uff0e\u4eee\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Be_1%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{e_1}' title='\\bold{e_1}' class='latex' \/> \u304c\u70b9 <img src='https:\/\/s0.wp.com\/latex.php?latex=P&#038;bg=T&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' \/> \u306b\u304a\u3051\u308b\u3053\u306e\u65b9\u5411\u3078\u306e\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u306a\u3089\u3053\u306e\u3088\u3046\u306b\u66f8\u3051\u307e\u3059\uff0c <img src='https:\/\/s0.wp.com\/latex.php?latex=+%5Cpartial+%5Cbold%7Br%7D+%2F+%5Cpartial+u_1+%3D+h_1%5Cbold%7Be_1%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt=' \\partial \\bold{r} \/ \\partial u_1 = h_1\\bold{e_1}' title=' \\partial \\bold{r} \/ \\partial u_1 = h_1\\bold{e_1}' class='latex' \/> \u3068\uff0e\u3053\u3053\u3067 <img src='https:\/\/s0.wp.com\/latex.php?latex=h_1+%3D+%7C%5Cpartial%5Cbold%7Br%7D%2F%5Cpartial+u_1%7C&#038;bg=T&#038;fg=000000&#038;s=0' alt='h_1 = |\\partial\\bold{r}\/\\partial u_1|' title='h_1 = |\\partial\\bold{r}\/\\partial u_1|' class='latex' \/> \u3067\u3059\uff0e\u540c\u69d8\u306b\u6b21\u306e\u3088\u3046\u306b\u66f8\u3051\u307e\u3059\uff0e <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cpartial%5Cbold%7Br%7D+%2F+%5Cpartial+u_2+%3D+h_2%5Cbold%7Be_2%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\partial\\bold{r} \/ \\partial u_2 = h_2\\bold{e_2}' title='\\partial\\bold{r} \/ \\partial u_2 = h_2\\bold{e_2}' class='latex' \/> \u307e\u305f <img src='https:\/\/s0.wp.com\/latex.php?latex=+%5Cpartial%5Cbold%7Br%7D%2F%5Cpartial+u_3+%3D+h_3+%5Cbold%7Be_3%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt=' \\partial\\bold{r}\/\\partial u_3 = h_3 \\bold{e_3}' title=' \\partial\\bold{r}\/\\partial u_3 = h_3 \\bold{e_3}' class='latex' \/> \u3053\u3053\u3067\uff0c\u305d\u308c\u305e\u308c <img src='https:\/\/s0.wp.com\/latex.php?latex=h_2+%3D+%7C%5Cpartial%5Cbold%7Br%7D%2F%5Cpartial+u_2%7C&#038;bg=T&#038;fg=000000&#038;s=0' alt='h_2 = |\\partial\\bold{r}\/\\partial u_2|' title='h_2 = |\\partial\\bold{r}\/\\partial u_2|' class='latex' \/> \u307e\u305f <img src='https:\/\/s0.wp.com\/latex.php?latex=+h_3+%3D+%7C%5Cpartial%5Cbold%7Br%7D%2F%5Cpartial+u_3%7C+&#038;bg=T&#038;fg=000000&#038;s=0' alt=' h_3 = |\\partial\\bold{r}\/\\partial u_3| ' title=' h_3 = |\\partial\\bold{r}\/\\partial u_3| ' class='latex' \/> \u3067\u3059\uff0e\u3086\u3048\u306b\u5f0f (19) \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u3051\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=d%5Cbold%7Br%7D+%3D+h_1du%5Cbold%7Be_1%7D+%2B+h_2du%5Cbold%7Be_2%7D+%2B+h_3du%5Cbold%7Be_3%7D%5Ccdots%2820%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='d\\bold{r} = h_1du\\bold{e_1} + h_2du\\bold{e_2} + h_3du\\bold{e_3}\\cdots(20)' title='d\\bold{r} = h_1du\\bold{e_1} + h_2du\\bold{e_2} + h_3du\\bold{e_3}\\cdots(20)' class='latex' \/><\/p>\n<p>\u3000\u91cf <img src='https:\/\/s0.wp.com\/latex.php?latex=h_1&#038;bg=T&#038;fg=000000&#038;s=0' alt='h_1' title='h_1' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=h_2&#038;bg=T&#038;fg=000000&#038;s=0' alt='h_2' title='h_2' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=h_3&#038;bg=T&#038;fg=000000&#038;s=0' alt='h_3' title='h_3' class='latex' \/> \u306f\u6642\u306b <em>\u30b9\u30b1\u30fc\u30eb\u56e0\u5b50<\/em> \u3068\u547c\u3073\u307e\u3059\uff0e<\/p>\n<p>\u3000\u4eee\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Be_1%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{e_1}' title='\\bold{e_1}' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Be_2%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{e_2}' title='\\bold{e_2}' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Be_3%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{e_3}' title='\\bold{e_3}' class='latex' \/> \u304c\u70b9 <img src='https:\/\/s0.wp.com\/latex.php?latex=P&#038;bg=T&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' \/> \u306b\u304a\u3044\u3066\u76f8\u4e92\u306b\u5782\u76f4\u3068\u3059\u308b\u3068\uff0c\u305d\u306e\u66f2\u7dda\u5ea7\u6a19\u3092 <em>\u76f4\u4ea4<\/em> \u3068\u547c\u3073\u307e\u3059\uff0e\u305d\u306e\u3088\u3046\u306a\u5834\u5408\uff0c\u5f27\u9577\u306e\u8981\u7d20 <img src='https:\/\/s0.wp.com\/latex.php?latex=ds&#038;bg=T&#038;fg=000000&#038;s=0' alt='ds' title='ds' class='latex' \/> \u306f\u4ee5\u4e0b\u306b\u3088\u308a\u4e0e\u3048\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=ds%5E2+%3D+d%5Cbold%7Br%7D+%5Ccdot+d%5Cbold%7Br%7D+%3D+h_1%5E2du_1%5E2+%2B+h_2%5E2du_2%5E2+%2B+h_3%5E2du_3%5E2+%5Ccdots%2821%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='ds^2 = d\\bold{r} \\cdot d\\bold{r} = h_1^2du_1^2 + h_2^2du_2^2 + h_3^2du_3^2 \\cdots(21)' title='ds^2 = d\\bold{r} \\cdot d\\bold{r} = h_1^2du_1^2 + h_2^2du_2^2 + h_3^2du_3^2 \\cdots(21)' class='latex' \/><\/p>\n<p>\u307e\u305f\u4e0a\u8a18\u306e\u76f4\u65b9\u4f53\u306e\u5bfe\u89d2\u7dda\u306e\u9577\u3055\u306e2\u4e57\u306b\u5bfe\u5fdc\u3057\u307e\u3059\uff0e<\/p>\n<p>\u3000\u307e\u305f\uff0c\u76f4\u4ea4\u5ea7\u6a19\u306b\u304a\u3044\u3066\u306f\u76f4\u65b9\u4f53\u306e\u4f53\u7a4d\u306f\u4ee5\u4e0b\u306b\u3088\u308a\u4e0e\u3048\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=+dV+%3D+%7C%28h_1du_1%5Cbold%7Be_1%7D%29+%5Ccdot+%28h_2du_2%5Cbold%7Be_2%7D%29+%5Ctimes+%28h_3du_3%5Cbold%7Be_3%7D%29%7C+%3D+h_1h_2h_3du_1du_2du_3+%5Ccdots+%2822%29+&#038;bg=T&#038;fg=000000&#038;s=0' alt=' dV = |(h_1du_1\\bold{e_1}) \\cdot (h_2du_2\\bold{e_2}) \\times (h_3du_3\\bold{e_3})| = h_1h_2h_3du_1du_2du_3 \\cdots (22) ' title=' dV = |(h_1du_1\\bold{e_1}) \\cdot (h_2du_2\\bold{e_2}) \\times (h_3du_3\\bold{e_3})| = h_1h_2h_3du_1du_2du_3 \\cdots (22) ' class='latex' \/><\/p>\n<p>\u3053\u3053\u3067\u6b21\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3067\u304d\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+dV+%3D+%5Cleft%7C+%5Cfrac%7B%5Cpartial%5Cbold%7Br%7D%7D%7B%5Cpartial+u_1%7D+%5Ccdot+%5Cfrac%7B%5Cpartial%5Cbold%7Br%7D%7D%7B%5Cpartial+u_2%7D+%5Ctimes+%5Cfrac%7B%5Cpartial%5Cbold%7Br%7D%7D%7B%5Cpartial+u_3%7D+%5Cright%7C+du_1du_2du_3++++%3D+%5Cleft%7C+%5Cfrac%7B%5Cpartial%28x%2C+y%2C+z%29%7D%7B%5Cpartial%28u_1%2C+u_2%2C+u_3%29%7D+%5Cright%7Cdu_1du_2du_3+%5Ccdots+%2823%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle dV = \\left| \\frac{\\partial\\bold{r}}{\\partial u_1} \\cdot \\frac{\\partial\\bold{r}}{\\partial u_2} \\times \\frac{\\partial\\bold{r}}{\\partial u_3} \\right| du_1du_2du_3    = \\left| \\frac{\\partial(x, y, z)}{\\partial(u_1, u_2, u_3)} \\right|du_1du_2du_3 \\cdots (23)' title='\\displaystyle dV = \\left| \\frac{\\partial\\bold{r}}{\\partial u_1} \\cdot \\frac{\\partial\\bold{r}}{\\partial u_2} \\times \\frac{\\partial\\bold{r}}{\\partial u_3} \\right| du_1du_2du_3    = \\left| \\frac{\\partial(x, y, z)}{\\partial(u_1, u_2, u_3)} \\right|du_1du_2du_3 \\cdots (23)' class='latex' \/><\/p>\n<p>\u3053\u3053\u3067\uff0c<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7B%5Cpartial%28x%2C+y%2C+z%29%7D%7B%5Cpartial%28u_1%2C+u_2%2C+u_3%29%7D++++%3D+%5Cleft%7C+%5Cbegin%7Barray%7D%7Bccc%7D++++%5Cfrac%7B%5Cpartial+x%7D%7B%5Cpartial+u_1%7D+%26+%5Cfrac%7B%5Cpartial+x%7D%7B%5Cpartial+u_2%7D+%26+%5Cfrac%7B%5Cpartial+x%7D%7B%5Cpartial+u_3%7D+%5C%5C++++%5Cfrac%7B%5Cpartial+y%7D%7B%5Cpartial+u_1%7D+%26+%5Cfrac%7B%5Cpartial+y%7D%7B%5Cpartial+u_2%7D+%26+%5Cfrac%7B%5Cpartial+y%7D%7B%5Cpartial+u_3%7D+%5C%5C++++%5Cfrac%7B%5Cpartial+z%7D%7B%5Cpartial+u_1%7D+%26+%5Cfrac%7B%5Cpartial+z%7D%7B%5Cpartial+u_2%7D+%26+%5Cfrac%7B%5Cpartial+z%7D%7B%5Cpartial+u_3%7D+%5Cend%7Barray%7D+%5Cright%7C%5Ccdots+%2824%29+&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\frac{\\partial(x, y, z)}{\\partial(u_1, u_2, u_3)}    = \\left| \\begin{array}{ccc}    \\frac{\\partial x}{\\partial u_1} &amp; \\frac{\\partial x}{\\partial u_2} &amp; \\frac{\\partial x}{\\partial u_3} \\\\    \\frac{\\partial y}{\\partial u_1} &amp; \\frac{\\partial y}{\\partial u_2} &amp; \\frac{\\partial y}{\\partial u_3} \\\\    \\frac{\\partial z}{\\partial u_1} &amp; \\frac{\\partial z}{\\partial u_2} &amp; \\frac{\\partial z}{\\partial u_3} \\end{array} \\right|\\cdots (24) ' title='\\displaystyle \\frac{\\partial(x, y, z)}{\\partial(u_1, u_2, u_3)}    = \\left| \\begin{array}{ccc}    \\frac{\\partial x}{\\partial u_1} &amp; \\frac{\\partial x}{\\partial u_2} &amp; \\frac{\\partial x}{\\partial u_3} \\\\    \\frac{\\partial y}{\\partial u_1} &amp; \\frac{\\partial y}{\\partial u_2} &amp; \\frac{\\partial y}{\\partial u_3} \\\\    \\frac{\\partial z}{\\partial u_1} &amp; \\frac{\\partial z}{\\partial u_2} &amp; \\frac{\\partial z}{\\partial u_3} \\end{array} \\right|\\cdots (24) ' class='latex' \/><\/p>\n<p>\u4e0a\u8a18\u306f\u5909\u63db\u5f0f\u306e <em>\u30e4\u30b3\u30d3\u30a2\u30f3<\/em> \u3068\u547c\u3070\u308c\u307e\u3059\uff0e<\/p>\n<p>\u3000\u30e4\u30b3\u30d3\u30a2\u30f3\u304c\u30bc\u30ed\u306b\u7b49\u3057\u3044\u6642\u306b\u76f4\u65b9\u4f53\u304c\u5b58\u5728\u3057\u306a\u3044\u3053\u3068\u306f\u660e\u3089\u304b\u3067\u3059\uff0e\u305d\u306e\u3088\u3046\u306a\u5834\u5408\u306b\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=x&#038;bg=T&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=y&#038;bg=T&#038;fg=000000&#038;s=0' alt='y' title='y' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=z&#038;bg=T&#038;fg=000000&#038;s=0' alt='z' title='z' class='latex' \/> \u306e\u9593\u306b\u306f\u95a2\u6570\u95a2\u4fc2\u304c\u5b58\u5728\u3057\u307e\u3059\uff0e\u4f8b\u3048\u3070 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cphi&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\phi' title='\\phi' class='latex' \/> \u304c\u3042\u3063\u3066\uff0c<img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cphi%28x%2C+y%2C+z%29+%3D+0+&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\phi(x, y, z) = 0 ' title='\\phi(x, y, z) = 0 ' class='latex' \/> \u306e\u3088\u3046\u306a\u5834\u5408\u3067\u3059\uff0e<\/p>\n<p><iframe src=\"\/\/rcm-fe.amazon-adsystem.com\/e\/cm?lt1=_blank&#038;bc1=000000&#038;IS2=1&#038;bg1=FFFFFF&#038;fc1=000000&#038;lc1=0000FF&#038;t=fujiitoshiki-22&#038;o=9&#038;p=8&#038;l=as4&#038;m=amazon&#038;f=ifr&#038;ref=ss_til&#038;asins=0071635408\" style=\"width:120px;height:240px;\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u3000\u4ee5\u4e0b\u306e \u5909\u63db\u5f0f \u306f \u3053\u3053\u3067\u4ee5\u4e0b\u306e\u524d\u63d0\u3092\u7f6e\u304d\u307e\u3059\uff0e\u3064\u307e\u308a , , \u306f\u9023\u7d9a\u3067\u3042\u308a\uff0c\u9023\u7d9a\u306a\u504f\u5fae\u5206\u3092\u6709\u3057\uff0c\u76f4\u4ea4\u5ea7\u6a19\u7cfb \u3068 \u3068\u306e\u9593\u3067\u70b9\u304c 1 \u5bfe 1 \u306b\u5bfe\u5fdc\u3059\u308b\u5358\u4e00\u306e\u9006\u95a2\u6570\u304c\u78ba\u7acb\u3057\u3066\u3044\u308b\u3068\u3057\u307e\u3059\uff0e\u30d9\u30af\u30c8\u30eb\u8a18\u6cd5\u306b\u304a\u3044\u3066\u306f\u5909\u63db\u5f0f ( &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5343\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u76f4\u4ea4\u66f2\u7dda\u5ea7\u6a19\u3068\u30e4\u30b3\u30d3\u30a2\u30f3&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":6040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-5343","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.9 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"admin\"\/>\n\t<meta name=\"keywords\" content=\"\u5909\u63db\u5f0f,\u76f4\u4ea4\u5ea7\u6a19,\u66f2\u7dda\u5ea7\u6a19,\u5ea7\u6a19\u66f2\u7dda,\u30b9\u30b1\u30fc\u30eb\u56e0\u5b50,\u76f4\u4ea4,\u30e4\u30b3\u30d3\u30a2\u30f3\" \/>\n\t<link rel=\"canonical\" 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