{"id":5354,"date":"2014-04-15T06:00:12","date_gmt":"2014-04-14T21:00:12","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=5354"},"modified":"2014-09-10T16:37:02","modified_gmt":"2014-09-10T07:37:02","slug":"post-5354","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5354","title":{"rendered":"\u76f4\u4ea4\u66f2\u7dda\u5ea7\u6a19\u306b\u304a\u3051\u308b\u52fe\u914d\uff0c\u767a\u6563\uff0c\u56de\u8ee2\u304a\u3088\u3073\u30e9\u30d7\u30e9\u30b7\u30a2\u30f3"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p>\u3000\u4eee\u306b <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\u4e00\u3064\u306e\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u3067\u3042\u308a\uff0c\u307e\u305f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%3D+A_1%5Cbold%7Be_1%7D+%2B+A_2%5Cbold%7Be_2%7D+%2B+A_3%5Cbold%7Be_3%7D+&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} = A_1\\bold{e_1} + A_2\\bold{e_2} + A_3\\bold{e_3} ' title='\\bold{A} = A_1\\bold{e_1} + A_2\\bold{e_2} + A_3\\bold{e_3} ' class='latex' \/> \u304c\u76f4\u4ea4\u66f2\u7dda\u5ea7\u6a19 <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' \/>, <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' \/>, <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' \/> \u306e\u30d9\u30af\u30c8\u30eb\u95a2\u6570\u306e\u6642\uff0c\u4e0b\u8a18\u306e\u7d50\u679c\u3092\u5f97\u307e\u3059\uff0e<\/p>\n<h4>1. <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cnabla%5CPhi+%3D+grad%5CPhi+%3D+%5Cfrac%7B1%7D%7Bh_1%7D%5Cfrac%7B%5Cpartial%5CPhi%7D%7B%5Cpartial+u_1%7D%5Cbold%7Be_1%7D+%2B+%5Cfrac%7B1%7D%7Bh_2%7D%5Cfrac%7B%5Cpartial%5CPhi%7D%7B%5Cpartial+u_2%7D%5Cbold%7Be_2%7D+%2B+%5Cfrac%7B1%7D%7Bh_3%7D%5Cfrac%7B%5Cpartial%5CPhi%7D%7B%5Cpartial+u_3%7D%5Cbold%7Be_3%7D+&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\nabla\\Phi = grad\\Phi = \\frac{1}{h_1}\\frac{\\partial\\Phi}{\\partial u_1}\\bold{e_1} + \\frac{1}{h_2}\\frac{\\partial\\Phi}{\\partial u_2}\\bold{e_2} + \\frac{1}{h_3}\\frac{\\partial\\Phi}{\\partial u_3}\\bold{e_3} ' title='\\displaystyle \\nabla\\Phi = grad\\Phi = \\frac{1}{h_1}\\frac{\\partial\\Phi}{\\partial u_1}\\bold{e_1} + \\frac{1}{h_2}\\frac{\\partial\\Phi}{\\partial u_2}\\bold{e_2} + \\frac{1}{h_3}\\frac{\\partial\\Phi}{\\partial u_3}\\bold{e_3} ' class='latex' \/><\/h4>\n<h4>2. <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cnabla%5Ccdot%5Cbold%7BA%7D+%3D+div%5Cbold%7BA%7D+%3D+%5Cfrac%7B1%7D%7Bh_1h_2h_3%7D%5Cleft%5B+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_1%7D%28h_2h_3A_1%29+%2B+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_2%7D%28h_3h_1A_2%29+%2B+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_3%7D%28h_1h_2A_3%29+%5Cright%5D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\nabla\\cdot\\bold{A} = div\\bold{A} = \\frac{1}{h_1h_2h_3}\\left[ \\frac{\\partial}{\\partial u_1}(h_2h_3A_1) + \\frac{\\partial}{\\partial u_2}(h_3h_1A_2) + \\frac{\\partial}{\\partial u_3}(h_1h_2A_3) \\right]' title='\\displaystyle \\nabla\\cdot\\bold{A} = div\\bold{A} = \\frac{1}{h_1h_2h_3}\\left[ \\frac{\\partial}{\\partial u_1}(h_2h_3A_1) + \\frac{\\partial}{\\partial u_2}(h_3h_1A_2) + \\frac{\\partial}{\\partial u_3}(h_1h_2A_3) \\right]' class='latex' \/><\/h4>\n<h4>3. <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cnabla%5Ctimes%5Cbold%7BA%7D+%3D+curl%5Cbold%7BA%7D++++%3D+%5Cfrac%7B1%7D%7Bh_1h_2h_3%7D%5Cleft%7C+%5Cbegin%7Barray%7D%7Bccc%7D+h_1%5Cbold%7Be_1%7D+%26+h_2%5Cbold%7Be_2%7D+%26+h_3%5Cbold%7Be_3%7D+%5C%5C+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_1%7D+%26+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_2%7D+%26+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_3%7D+%5C%5C+h_1A_1+%26+h_2A_2+%26+h_3A_3+%5Cend%7Barray%7D+%5Cright%7C&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\nabla\\times\\bold{A} = curl\\bold{A}    = \\frac{1}{h_1h_2h_3}\\left| \\begin{array}{ccc} h_1\\bold{e_1} &amp; h_2\\bold{e_2} &amp; h_3\\bold{e_3} \\\\ \\frac{\\partial}{\\partial u_1} &amp; \\frac{\\partial}{\\partial u_2} &amp; \\frac{\\partial}{\\partial u_3} \\\\ h_1A_1 &amp; h_2A_2 &amp; h_3A_3 \\end{array} \\right|' title='\\displaystyle \\nabla\\times\\bold{A} = curl\\bold{A}    = \\frac{1}{h_1h_2h_3}\\left| \\begin{array}{ccc} h_1\\bold{e_1} &amp; h_2\\bold{e_2} &amp; h_3\\bold{e_3} \\\\ \\frac{\\partial}{\\partial u_1} &amp; \\frac{\\partial}{\\partial u_2} &amp; \\frac{\\partial}{\\partial u_3} \\\\ h_1A_1 &amp; h_2A_2 &amp; h_3A_3 \\end{array} \\right|' class='latex' \/><\/h4>\n<h4>4. <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cnabla%5E2%5CPhi+%3D+Laplacian%5C+of%5C+%5CPhi%5C%5C++++%3D+%5Cfrac%7B1%7D%7Bh_1h_2h_3%7D%5Cleft%5B+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_1%7D%5Cleft%28+%5Cfrac%7Bh_2h_3%7D%7Bh_1%7D%5Cfrac%7B%5Cpartial%5CPhi%7D%7B%5Cpartial+u_1%7D+%5Cright%29+%2B+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_2%7D%5Cleft%28+%5Cfrac%7Bh_3h_1%7D%7Bh_2%7D%5Cfrac%7B%5Cpartial%5CPhi%7D%7B%5Cpartial+u_2%7D+%5Cright%29+%2B+%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial+u_3%7D%5Cleft%28+%5Cfrac%7Bh_1h_2%7D%7Bh_3%7D%5Cfrac%7B%5Cpartial%5CPhi%7D%7B%5Cpartial+u_3%7D+%5Cright%29+%5Cright%5D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\nabla^2\\Phi = Laplacian\\ of\\ \\Phi\\\\    = \\frac{1}{h_1h_2h_3}\\left[ \\frac{\\partial}{\\partial u_1}\\left( \\frac{h_2h_3}{h_1}\\frac{\\partial\\Phi}{\\partial u_1} \\right) + \\frac{\\partial}{\\partial u_2}\\left( \\frac{h_3h_1}{h_2}\\frac{\\partial\\Phi}{\\partial u_2} \\right) + \\frac{\\partial}{\\partial u_3}\\left( \\frac{h_1h_2}{h_3}\\frac{\\partial\\Phi}{\\partial u_3} \\right) \\right]' title='\\displaystyle \\nabla^2\\Phi = Laplacian\\ of\\ \\Phi\\\\    = \\frac{1}{h_1h_2h_3}\\left[ \\frac{\\partial}{\\partial u_1}\\left( \\frac{h_2h_3}{h_1}\\frac{\\partial\\Phi}{\\partial u_1} \\right) + \\frac{\\partial}{\\partial u_2}\\left( \\frac{h_3h_1}{h_2}\\frac{\\partial\\Phi}{\\partial u_2} \\right) + \\frac{\\partial}{\\partial u_3}\\left( \\frac{h_1h_2}{h_3}\\frac{\\partial\\Phi}{\\partial u_3} \\right) \\right]' class='latex' \/><\/h4>\n<p>\u3000\u4eee\u306b <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 <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' \/> \u3067\u7f6e\u63db\u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u5834\u5408\uff0c\u3064\u307e\u308a <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' \/> \u304a\u3088\u3073 <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 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Bi%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{i}' title='\\bold{i}' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Bj%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{j}' title='\\bold{j}' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Bk%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{k}' title='\\bold{k}' class='latex' \/> \u3067\u7f6e\u63db\u3055\u308c\uff0c <img src='https:\/\/s0.wp.com\/latex.php?latex=h_1+%3D+h_2+%3D+h_3+%3D+1&#038;bg=T&#038;fg=000000&#038;s=0' alt='h_1 = h_2 = h_3 = 1' title='h_1 = h_2 = h_3 = 1' class='latex' \/> \u3067\u7f6e\u63db\u3055\u308c\u308b\u3088\u3046\u306a\u5834\u5408\u306a\u3069\u306b\u306f\uff0c\u3053\u308c\u3089\u306e\u7d50\u679c\u306f\u76f4\u4ea4\u5ea7\u6a19\u7cfb\u306e\u901a\u5e38\u306e\u5f0f\u306b\u77ed\u7e2e\u3055\u308c\u307e\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\u4eee\u306b \u304c\u4e00\u3064\u306e\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u3067\u3042\u308a\uff0c\u307e\u305f \u304c\u76f4\u4ea4\u66f2\u7dda\u5ea7\u6a19 , , \u306e\u30d9\u30af\u30c8\u30eb\u95a2\u6570\u306e\u6642\uff0c\u4e0b\u8a18\u306e\u7d50\u679c\u3092\u5f97\u307e\u3059\uff0e 1. 2. 3. 4. \u3000\u4eee\u306b \u3092 \u3067\u7f6e\u63db\u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u5834\u5408\uff0c\u3064\u307e\u308a , \u304a\u3088\u3073 \u304c , \u304a\u3088\u3073 \u3067\u7f6e\u63db\u3055\u308c\uff0c  &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5354\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u76f4\u4ea4\u66f2\u7dda\u5ea7\u6a19\u306b\u304a\u3051\u308b\u52fe\u914d\uff0c\u767a\u6563\uff0c\u56de\u8ee2\u304a\u3088\u3073\u30e9\u30d7\u30e9\u30b7\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":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-5354","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/5354","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5354"}],"version-history":[{"count":3,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/5354\/revisions"}],"predecessor-version":[{"id":6774,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/5354\/revisions\/6774"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/media\/6040"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5354"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5354"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5354"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}