{"id":5759,"date":"2014-09-22T06:00:28","date_gmt":"2014-09-21T21:00:28","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=5759"},"modified":"2014-09-25T15:28:47","modified_gmt":"2014-09-25T06:28:47","slug":"post-5759","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5759","title":{"rendered":"\u7dda\u7a4d\u5206\u304c\u7d4c\u8def\u72ec\u7acb\u3067\u3042\u308b\u305f\u3081\u306e\u6761\u4ef6"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><ul>\n<li><strong><em>\u5b9a\u7406 6-1. <\/em><\/strong><\/li>\n<p>\u3000<img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cint_C+%5BPdx+%2B+Qdy%5D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\int_C [Pdx + Qdy]' title='\\displaystyle \\int_C [Pdx + Qdy]' class='latex' \/> \u304c\u9818\u57df <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Ccal+R&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\cal R' title='\\cal R' class='latex' \/> \u306b\u304a\u3044\u3066\u4e0e\u3048\u3089\u308c\u305f\u4efb\u610f\u306e2\u70b9\u3092\u7d50\u3076 <img src='https:\/\/s0.wp.com\/latex.php?latex=C&#038;bg=T&#038;fg=000000&#038;s=0' alt='C' title='C' class='latex' \/> \u304b\u3089\u7d4c\u8def\u72ec\u7acb\u3067\u3042\u308b\u305f\u3081\u306e\u5fc5\u8981\u5341\u5206\u6761\u4ef6\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Ccal+R&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\cal R' title='\\cal R' class='latex' \/> \u306b\u304a\u3044\u3066<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cpartial+P%2F%5Cpartial+y+%3D+%5Cpartial+Q%2F%5Cpartial+x%5Ccdots+%2823%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\partial P\/\\partial y = \\partial Q\/\\partial x\\cdots (23)' title='\\partial P\/\\partial y = \\partial Q\/\\partial x\\cdots (23)' class='latex' \/><\/p>\n<p>\u3053\u3053\u3067 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Ccal+R&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\cal R' title='\\cal R' class='latex' \/> \u306b\u304a\u3051\u308b\u504f\u5fae\u5206\u306f\u9023\u7d9a\u3068\u8003\u3048\u3089\u308c\u307e\u3059\uff0e<\/p>\n<\/ul>\n<p>\u3000\u6761\u4ef6 (23) \u306f\u307e\u305f <img src='https:\/\/s0.wp.com\/latex.php?latex=Pdx+%2B+Qdy&#038;bg=T&#038;fg=000000&#038;s=0' alt='Pdx + Qdy' title='Pdx + Qdy' class='latex' \/> \u304c\u5168\u5fae\u5206\u3067\u3042\u308b\u3053\u3068\u306e\u6761\u4ef6\u3067\u3082\u3042\u308a\u307e\u3059\uff0e\u3059\u306a\u308f\u3061\uff0c <img src='https:\/\/s0.wp.com\/latex.php?latex=Pdx+%2B+Qdy+%3D+d%5Cphi&#038;bg=T&#038;fg=000000&#038;s=0' alt='Pdx + Qdy = d\\phi' title='Pdx + Qdy = d\\phi' class='latex' \/> \u306e\u3088\u3046\u306a\u5f62\u3092\u3057\u305f\u95a2\u6570 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cphi%28x%2C+y%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\phi(x, y)' title='\\phi(x, y)' class='latex' \/> \u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3067\u3059\uff0e\u305d\u306e\u3088\u3046\u306a\u5834\u5408\uff0c\u66f2\u7dda <img src='https:\/\/s0.wp.com\/latex.php?latex=C&#038;bg=T&#038;fg=000000&#038;s=0' alt='C' title='C' class='latex' \/> \u306e\u672b\u7aef\u3092 <img src='https:\/\/s0.wp.com\/latex.php?latex=%28x_1%2C+y_1%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='(x_1, y_1)' title='(x_1, y_1)' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=%28x_2%2C+y_2%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='(x_2, y_2)' title='(x_2, y_2)' class='latex' \/> \u3068\u3059\u308b\u3068\uff0c\u7a4d\u5206\u5024\u306f\u4ee5\u4e0b\u306b\u3088\u308a\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cint_%7B%28x_1%2C+y_1%29%7D%5E%7B%28x_2%2C+y_2%29%7D%5BPdx+%2B+Qdy%5D+%3D+%5Cint_%7B%28x_1%2C+y_1%29%7D%5E%7B%28x_2%2C+y_2%29%7D+d%5Cphi+%3D+%5Cphi%28x_2%2C+y_2%29+-+%5Cphi%28x_1%2C+y_1%29+%5Ccdots%2824%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\int_{(x_1, y_1)}^{(x_2, y_2)}[Pdx + Qdy] = \\int_{(x_1, y_1)}^{(x_2, y_2)} d\\phi = \\phi(x_2, y_2) - \\phi(x_1, y_1) \\cdots(24)' title='\\displaystyle \\int_{(x_1, y_1)}^{(x_2, y_2)}[Pdx + Qdy] = \\int_{(x_1, y_1)}^{(x_2, y_2)} d\\phi = \\phi(x_2, y_2) - \\phi(x_1, y_1) \\cdots(24)' class='latex' \/><\/p>\n<p>\u3000\u7279\u306b\uff0c\u4eee\u306b (23) \u3092\u6e80\u305f\u3057 <img src='https:\/\/s0.wp.com\/latex.php?latex=C&#038;bg=T&#038;fg=000000&#038;s=0' alt='C' title='C' class='latex' \/> \u304c\u9589\u66f2\u7dda\u3067\u3042\u308b\u306a\u3089\u4ee5\u4e0b\u306b\u3088\u308a <img src='https:\/\/s0.wp.com\/latex.php?latex=x_1+%3D+x_2%2C%5C+y_1+%3D+y_2&#038;bg=T&#038;fg=000000&#038;s=0' alt='x_1 = x_2,\\ y_1 = y_2' title='x_1 = x_2,\\ y_1 = y_2' class='latex' \/> \u304c\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Coint_C+%5BPdx+%2B+Qdy%5D+%3D+0%5Ccdots%2825%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\oint_C [Pdx + Qdy] = 0\\cdots(25)' title='\\displaystyle \\oint_C [Pdx + Qdy] = 0\\cdots(25)' class='latex' \/><\/p>\n<p>\u3000\u5b9a\u7406 6-1 \u306e\u7d50\u679c\u306f\u7a7a\u9593\u306b\u304a\u3051\u308b\u7dda\u7a4d\u5206\u306b\u3082\u5fdc\u7528\u3067\u304d\u307e\u3059\uff0e\u3086\u3048\u306b\u4ee5\u4e0b\u304c\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<ul>\n<li><em><strong>\u5b9a\u7406 6-2. <\/strong><\/em><\/li>\n<p>\u3000<img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cint_C+%5BA_1dx+%2B+A_2dy+%2B+A_3dz%5D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\int_C [A_1dx + A_2dy + A_3dz]' title='\\displaystyle \\int_C [A_1dx + A_2dy + A_3dz]' class='latex' \/> \u304c\u9818\u57df <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Ccal+R&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\cal R' title='\\cal R' class='latex' \/> \u306b\u304a\u3044\u3066\u4e0e\u3048\u3089\u308c\u305f\u4efb\u610f\u306e2\u70b9\u3092\u7d50\u3076 <img src='https:\/\/s0.wp.com\/latex.php?latex=C&#038;bg=T&#038;fg=000000&#038;s=0' alt='C' title='C' class='latex' \/> \u304b\u3089\u7d4c\u8def\u72ec\u7acb\u3067\u3042\u308b\u305f\u3081\u306e\u5fc5\u8981\u5341\u5206\u6761\u4ef6\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Ccal+R&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\cal R' title='\\cal R' class='latex' \/> \u306b\u304a\u3044\u3066<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7B%5Cpartial+A_1%7D%7B%5Cpartial+y%7D+%3D+%5Cfrac%7B%5Cpartial+A_2%7D%7B%5Cpartial+x%7D%2C%5C+%5Cfrac%7B%5Cpartial+A_3%7D%7B%5Cpartial+x%7D+%3D+%5Cfrac%7B%5Cpartial+A_1%7D%7B%5Cpartial+z%7D%2C%5C+%5Cfrac%7B%5Cpartial+A_2%7D%7B%5Cpartial+z%7D+%3D+%5Cfrac%7B%5Cpartial+A_3%7D%7B%5Cpartial+y%7D+%5Ccdots%2826%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\frac{\\partial A_1}{\\partial y} = \\frac{\\partial A_2}{\\partial x},\\ \\frac{\\partial A_3}{\\partial x} = \\frac{\\partial A_1}{\\partial z},\\ \\frac{\\partial A_2}{\\partial z} = \\frac{\\partial A_3}{\\partial y} \\cdots(26)' title='\\displaystyle \\frac{\\partial A_1}{\\partial y} = \\frac{\\partial A_2}{\\partial x},\\ \\frac{\\partial A_3}{\\partial x} = \\frac{\\partial A_1}{\\partial z},\\ \\frac{\\partial A_2}{\\partial z} = \\frac{\\partial A_3}{\\partial y} \\cdots(26)' class='latex' \/><\/p>\n<p>\u3053\u3053\u3067 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Ccal+R&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\cal R' title='\\cal R' class='latex' \/> \u306b\u304a\u3051\u308b\u504f\u5fae\u5206\u306f\u9023\u7d9a\u3068\u8003\u3048\u3089\u308c\u307e\u3059\uff0e<\/p>\n<\/ul>\n<p>\u3000\u305d\u306e\u7d50\u679c\u306f\u30d9\u30af\u30c8\u30eb\u306e\u89b3\u70b9\u304b\u3089\u7c21\u6f54\u306b\u8868\u73fe\u3067\u304d\u307e\u3059\uff0e<img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%3D+A_1%5Cbold%7Bi%7D+%2B+A_2%5Cbold%7Bj%7D+%2B+A_3%5Cbold%7Bk%7D+&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} = A_1\\bold{i} + A_2\\bold{j} + A_3\\bold{k} ' title='\\bold{A} = A_1\\bold{i} + A_2\\bold{j} + A_3\\bold{k} ' class='latex' \/> \u3068\u3059\u308b\u3068\uff0c\u7dda\u7a4d\u5206\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cint_C+%5Cbold%7BA%7D%5Ccdot+d%5Cbold%7Br%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\int_C \\bold{A}\\cdot d\\bold{r}' title='\\displaystyle \\int_C \\bold{A}\\cdot d\\bold{r}' class='latex' \/> \u3068\u8a18\u8ff0\u3067\u304d\uff0c\u6761\u4ef6 (26) \u306f\u6761\u4ef6 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cnabla+%5Ctimes+%5Cbold%7BA%7D+%3D+0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\nabla \\times \\bold{A} = 0' title='\\nabla \\times \\bold{A} = 0' class='latex' \/> \u3068\u7b49\u4fa1\u3067\u3059\uff0e\u4eee\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A}' title='\\bold{A}' class='latex' \/> \u304c\u7269\u4f53\u306b\u4f5c\u7528\u3059\u308b\u529b\u5834 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BF%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{F}' title='\\bold{F}' class='latex' \/> \u3092\u8868\u3059\u3068\u3059\u308b\u3068\uff0c\u305d\u306e\u7d50\u679c\u306f\u7269\u4f53\u3092\u3042\u308b\u70b9\u304b\u3089\u4ed6\u306e\u70b9\u306b\u79fb\u52d5\u3059\u308b\u306e\u306b\u306a\u3055\u308c\u305f\u4ed5\u4e8b\u306e\u8a18\u8ff0\u3068\u7b49\u4fa1\u3067\u3042\u308a\uff0c <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cnabla+%5Ctimes+%5Cbold%7BA%7D+%3D+0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\nabla \\times \\bold{A} = 0' title='\\nabla \\times \\bold{A} = 0' class='latex' \/> \u306e\u6642\u306b\u306e\u307f2\u70b9\u3092\u7d50\u3076\u7d4c\u8def\u72ec\u7acb\u3067\u3059\uff0e\u305d\u306e\u3088\u3046\u306a\u529b\u5834\u306e\u3053\u3068\u3092 <em>\u4fdd\u5b58\u529b\u5834<\/em> \u3068\u547c\u3073\u307e\u3059\uff0e<\/p>\n<p>\u3000\u6761\u4ef6 (26) \uff08\u307e\u305f\u306f\u6761\u4ef6 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cnabla%5Ctimes%5Cbold%7BA%7D%3D0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\nabla\\times\\bold{A}=0' title='\\nabla\\times\\bold{A}=0' class='latex' \/> \u3068\u7b49\u4fa1\uff09\u306f\u53c8 <img src='https:\/\/s0.wp.com\/latex.php?latex=A_1dx+%2B+A_2dy+%2B+A_3dz&#038;bg=T&#038;fg=000000&#038;s=0' alt='A_1dx + A_2dy + A_3dz' title='A_1dx + A_2dy + A_3dz' class='latex' \/> \uff08\u53c8\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D%5Ccdot%5Cbold%7Br%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A}\\cdot\\bold{r}' title='\\bold{A}\\cdot\\bold{r}' class='latex' \/> \uff09\u304c\u5168\u5fae\u5206\u3067\u3042\u308b\u3068\u3044\u3046\u6761\u4ef6\u3067\u3082\u3042\u308a\u307e\u3059\uff0e\u4f8b\u3048\u3070 <img src='https:\/\/s0.wp.com\/latex.php?latex=A_1dx+%2B+A_2dy+%2B+A_3dz+%3Dd%5Cphi&#038;bg=T&#038;fg=000000&#038;s=0' alt='A_1dx + A_2dy + A_3dz =d\\phi' title='A_1dx + A_2dy + A_3dz =d\\phi' class='latex' \/> \u306e\u3088\u3046\u306a\u95a2\u6570 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cphi%28x%2C+y%2C+z%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\phi(x, y, z)' title='\\phi(x, y, z)' class='latex' \/> \u304c\u5b58\u5728\u3057\u307e\u3059\uff0e\u305d\u306e\u3088\u3046\u306a\u5834\u5408\u3067\u306f\u4eee\u306b\u66f2\u7dda <img src='https:\/\/s0.wp.com\/latex.php?latex=C&#038;bg=T&#038;fg=000000&#038;s=0' alt='C' title='C' class='latex' \/> \u306e\u672b\u7aef\u3092 <img src='https:\/\/s0.wp.com\/latex.php?latex=%28x_1%2C+y_1%2C+z_1%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='(x_1, y_1, z_1)' title='(x_1, y_1, z_1)' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=%28x_2%2C+y_2%2C+z_2%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='(x_2, y_2, z_2)' title='(x_2, y_2, z_2)' class='latex' \/> \u3068\u3059\u308b\u3068\uff0c\u7dda\u7a4d\u5206\u306e\u5024\u306f\u4ee5\u4e0b\u306b\u3088\u308a\u5f97\u3089\u308c\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cint_%7B%28x_1%2C+y_1%2C+z_1%29%7D%5E%7B%28x_2%2C+y_2%2C+z_2%29%7D%5Cbold%7BA%7D%5Ccdot%5Cbold%7Br%7D+%3D+%5Cint_%7B%28x_1%2C+y_1%2C+z_1%29%7D%5E%7B%28x_2%2C+y_2%2C+z_2%29%7Dd%5Cphi+%3D+%5Cphi%28x_2%2C+y_2%2C+z_2%29-+%5Cphi%28x_1%2C+y_1%2C+z_1%29%5Ccdots%2827%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\int_{(x_1, y_1, z_1)}^{(x_2, y_2, z_2)}\\bold{A}\\cdot\\bold{r} = \\int_{(x_1, y_1, z_1)}^{(x_2, y_2, z_2)}d\\phi = \\phi(x_2, y_2, z_2)- \\phi(x_1, y_1, z_1)\\cdots(27)' title='\\displaystyle \\int_{(x_1, y_1, z_1)}^{(x_2, y_2, z_2)}\\bold{A}\\cdot\\bold{r} = \\int_{(x_1, y_1, z_1)}^{(x_2, y_2, z_2)}d\\phi = \\phi(x_2, y_2, z_2)- \\phi(x_1, y_1, z_1)\\cdots(27)' class='latex' \/><\/p>\n<p>\u3000\u7279\u306b <img src='https:\/\/s0.wp.com\/latex.php?latex=C&#038;bg=T&#038;fg=000000&#038;s=0' alt='C' title='C' class='latex' \/> \u304c\u9589\u66f2\u7dda\u3067 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cnabla%5Ctimes%5Cbold%7BA%7D+%3D+0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\nabla\\times\\bold{A} = 0' title='\\nabla\\times\\bold{A} = 0' class='latex' \/> \u3068\u3059\u308b\u3068<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Coint_C+%5Cbold%7BA%7D%5Ccdot+d%5Cbold%7Br%7D+%3D+0+%5Ccdots%2828%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\oint_C \\bold{A}\\cdot d\\bold{r} = 0 \\cdots(28)' title='\\displaystyle \\oint_C \\bold{A}\\cdot d\\bold{r} = 0 \\cdots(28)' class='latex' \/><br \/>\n<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>\u5b9a\u7406 6-1. \u3000 \u304c\u9818\u57df \u306b\u304a\u3044\u3066\u4e0e\u3048\u3089\u308c\u305f\u4efb\u610f\u306e2\u70b9\u3092\u7d50\u3076 \u304b\u3089\u7d4c\u8def\u72ec\u7acb\u3067\u3042\u308b\u305f\u3081\u306e\u5fc5\u8981\u5341\u5206\u6761\u4ef6\u306f \u306b\u304a\u3044\u3066 \u3053\u3053\u3067 \u306b\u304a\u3051\u308b\u504f\u5fae\u5206\u306f\u9023\u7d9a\u3068\u8003\u3048\u3089\u308c\u307e\u3059\uff0e \u3000\u6761\u4ef6 (23) \u306f\u307e\u305f \u304c\u5168\u5fae\u5206\u3067\u3042\u308b\u3053\u3068\u306e\u6761\u4ef6\u3067\u3082\u3042\u308a\u307e &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5759\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u7dda\u7a4d\u5206\u304c\u7d4c\u8def\u72ec\u7acb\u3067\u3042\u308b\u305f\u3081\u306e\u6761\u4ef6&#8221; 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