﻿{"id":5170,"date":"2014-03-19T06:00:14","date_gmt":"2014-03-18T21:00:14","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=5170"},"modified":"2014-09-10T16:41:54","modified_gmt":"2014-09-10T07:41:54","slug":"post-5170","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5170","title":{"rendered":"\u4e09\u91cd\u7a4d"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p>\u30003\u3064\u306e\u30d9\u30af\u30c8\u30eb <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' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BB%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{B}' title='\\bold{B}' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{C}' title='\\bold{C}' class='latex' \/> \u306e\u30c9\u30c3\u30c8\u7a4d\u53ca\u3073\u30af\u30ed\u30b9\u7a4d\u306f\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u305f\u610f\u7fa9\u6df1\u3044\u7a4d\u3092\u751f\u307f\u51fa\u3059\u304b\u3082\u3057\u308c\u307e\u305b\u3093\uff0e <img src='https:\/\/s0.wp.com\/latex.php?latex=%28%5Cbold%7BA%7D%5Ccdot%5Cbold%7BB%7D%29%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='(\\bold{A}\\cdot\\bold{B})\\bold{C}' title='(\\bold{A}\\cdot\\bold{B})\\bold{C}' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=+%5Cbold%7BA%7D+%5Ccdot+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29&#038;bg=T&#038;fg=000000&#038;s=0' alt=' \\bold{A} \\cdot (\\bold{B} \\times \\bold{C})' title=' \\bold{A} \\cdot (\\bold{B} \\times \\bold{C})' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=+%5Cbold%7BA%7D+%5Ctimes+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29&#038;bg=T&#038;fg=000000&#038;s=0' alt=' \\bold{A} \\times (\\bold{B} \\times \\bold{C})' title=' \\bold{A} \\times (\\bold{B} \\times \\bold{C})' class='latex' \/>\uff0e\u4ee5\u4e0b\u306e\u6cd5\u5247\u304c\u6709\u52b9\u3067\u3059\uff0e<\/p>\n<ol>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%28%5Cbold%7BA%7D%5Ccdot%5Cbold%7BB%7D%29%5Cbold%7BC%7D+%5Cne+%5Cbold%7BA%7D%28%5Cbold%7BB%7D%5Ccdot%5Cbold%7BC%7D%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='(\\bold{A}\\cdot\\bold{B})\\bold{C} \\ne \\bold{A}(\\bold{B}\\cdot\\bold{C})' title='(\\bold{A}\\cdot\\bold{B})\\bold{C} \\ne \\bold{A}(\\bold{B}\\cdot\\bold{C})' class='latex' \/> <\/li>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D%5Ccdot%28%5Cbold%7BB%7D%5Ctimes%5Cbold%7BC%7D%29+%3D+%5Cbold%7BB%7D%5Ccdot%28%5Cbold%7BC%7D%5Ctimes%5Cbold%7BA%7D%29+%3D+%5Cbold%7BC%7D%5Ccdot%28%5Cbold%7BA%7D%5Ctimes%5Cbold%7BB%7D%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A}\\cdot(\\bold{B}\\times\\bold{C}) = \\bold{B}\\cdot(\\bold{C}\\times\\bold{A}) = \\bold{C}\\cdot(\\bold{A}\\times\\bold{B})' title='\\bold{A}\\cdot(\\bold{B}\\times\\bold{C}) = \\bold{B}\\cdot(\\bold{C}\\times\\bold{A}) = \\bold{C}\\cdot(\\bold{A}\\times\\bold{B})' class='latex' \/> \u306f <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' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BB%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{B}' title='\\bold{B}' class='latex' \/>, \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{C}' title='\\bold{C}' class='latex' \/> \u3092\u8fba\u3068\u3059\u308b\u5e73\u884c\u516d\u9762\u4f53\u306e\u4f53\u7a4d\u3067\u3042\u308a\uff0c <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' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BB%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{B}' title='\\bold{B}' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{C}' title='\\bold{C}' class='latex' \/> \u304c\u53f3\u624b\u7cfb\u3092\u306a\u3059\u304b\u5426\u304b\u306b\u5f93\u3063\u3066\u8ca0\u306e\u4f53\u7a4d\u3092\u6709\u3059\u308b\u3053\u3068\u3082\u3042\u308b\uff0e\u4eee\u306b <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' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BB%7D+%3D+B_1%5Cbold%7Bi%7D+%2B+B_2%5Cbold%7Bj%7D+%2B+B_3%5Cbold%7Bk%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{B} = B_1\\bold{i} + B_2\\bold{j} + B_3\\bold{k}' title='\\bold{B} = B_1\\bold{i} + B_2\\bold{j} + B_3\\bold{k}' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BC%7D+%3D+C_1%5Cbold%7Bi%7D+%2B+C_2%5Cbold%7Bj%7D+%2B+C_3%5Cbold%7Bk%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{C} = C_1\\bold{i} + C_2\\bold{j} + C_3\\bold{k}' title='\\bold{C} = C_1\\bold{i} + C_2\\bold{j} + C_3\\bold{k}' class='latex' \/> \u306a\u3089\u3070<br \/>\n<img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cbold%7BA%7D%5Ccdot%28%5Cbold%7BB%7D%5Ctimes%5Cbold%7BC%7D%29+%3D+%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D+A_1+%26+A_2+%26+A_3+%5C%5C+B_1+%26+B_2+%26+B_3+%5C%5C+C_1+%26+C_2+%26+C_3+%5Cend%7Barray%7D%5Cright%7C%5Ccdots+%286%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\bold{A}\\cdot(\\bold{B}\\times\\bold{C}) = \\left|\\begin{array}{ccc} A_1 &amp; A_2 &amp; A_3 \\\\ B_1 &amp; B_2 &amp; B_3 \\\\ C_1 &amp; C_2 &amp; C_3 \\end{array}\\right|\\cdots (6)' title='\\displaystyle \\bold{A}\\cdot(\\bold{B}\\times\\bold{C}) = \\left|\\begin{array}{ccc} A_1 &amp; A_2 &amp; A_3 \\\\ B_1 &amp; B_2 &amp; B_3 \\\\ C_1 &amp; C_2 &amp; C_3 \\end{array}\\right|\\cdots (6)' class='latex' \/><\/li>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%5Ctimes+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29+%5Cne+%28%5Cbold%7BA%7D+%5Ctimes+%5Cbold%7BB%7D%29+%5Ctimes+%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} \\times (\\bold{B} \\times \\bold{C}) \\ne (\\bold{A} \\times \\bold{B}) \\times \\bold{C}' title='\\bold{A} \\times (\\bold{B} \\times \\bold{C}) \\ne (\\bold{A} \\times \\bold{B}) \\times \\bold{C}' class='latex' \/><\/li>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%5Ctimes+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29+%3D+%28%5Cbold%7BA%7D+%5Ccdot+%5Cbold%7BC%7D%29%5Cbold%7BB%7D+-+%28%5Cbold%7BA%7D+%5Ccdot+%5Cbold%7BB%7D%29%5Cbold%7BC%7D%5C%5C+++%28%5Cbold%7BA%7D+%5Ctimes+%5Cbold%7B%5Cbold%7BB%7D%7D%29+%5Ctimes+%5Cbold%7BC%7D+%3D+%28%5Cbold%7BA%7D+%5Ccdot+%5Cbold%7BC%7D%29%5Cbold%7BB%7D+-+%28%5Cbold%7BB%7D+%5Ccdot+%5Cbold%7BC%7D%29%5Cbold%7BA%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} \\times (\\bold{B} \\times \\bold{C}) = (\\bold{A} \\cdot \\bold{C})\\bold{B} - (\\bold{A} \\cdot \\bold{B})\\bold{C}\\\\   (\\bold{A} \\times \\bold{\\bold{B}}) \\times \\bold{C} = (\\bold{A} \\cdot \\bold{C})\\bold{B} - (\\bold{B} \\cdot \\bold{C})\\bold{A}' title='\\bold{A} \\times (\\bold{B} \\times \\bold{C}) = (\\bold{A} \\cdot \\bold{C})\\bold{B} - (\\bold{A} \\cdot \\bold{B})\\bold{C}\\\\   (\\bold{A} \\times \\bold{\\bold{B}}) \\times \\bold{C} = (\\bold{A} \\cdot \\bold{C})\\bold{B} - (\\bold{B} \\cdot \\bold{C})\\bold{A}' class='latex' \/><\/li>\n<\/ol>\n<p>\u3000\u7a4d <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%5Ccdot+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} \\cdot (\\bold{B} \\times \\bold{C})' title='\\bold{A} \\cdot (\\bold{B} \\times \\bold{C})' class='latex' \/> \u306f\u6642\u306b <em>\u30b9\u30ab\u30e9\u30fc\u4e09\u91cd\u7a4d<\/em> \u307e\u305f\u306f <em>box product<\/em> \u3068\u547c\u3070\u308c\uff0c <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cleft%5B%5Cbold%7BABC%7D%5Cright%5D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\left[\\bold{ABC}\\right]' title='\\left[\\bold{ABC}\\right]' class='latex' \/> \u3068\u8a18\u8ff0\u3057\u307e\u3059\uff0e\u7a4d <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%5Ctimes+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} \\times (\\bold{B} \\times \\bold{C})' title='\\bold{A} \\times (\\bold{B} \\times \\bold{C})' class='latex' \/> \u306f <em>\u30d9\u30af\u30c8\u30eb\u4e09\u91cd\u7a4d<\/em> \u3068\u547c\u3070\u308c\u307e\u3059\uff0e<\/p>\n<p>\u3000<img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%5Ccdot+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} \\cdot (\\bold{B} \\times \\bold{C})' title='\\bold{A} \\cdot (\\bold{B} \\times \\bold{C})' class='latex' \/> \u306b\u304a\u3044\u3066\u306f\u62ec\u5f27\u306f\u6642\u306b\u7701\u7565\u3055\u308c\uff0c <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%5Ccdot+%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} \\cdot \\bold{B} \\times \\bold{C}' title='\\bold{A} \\cdot \\bold{B} \\times \\bold{C}' class='latex' \/> \u3068\u8a18\u8ff0\u3057\u307e\u3059\uff0e\u3057\u304b\u3057\u306a\u304c\u3089\u62ec\u5f27\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%5Ctimes+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} \\times (\\bold{B} \\times \\bold{C})' title='\\bold{A} \\times (\\bold{B} \\times \\bold{C})' class='latex' \/> \u306b\u304a\u3044\u3066\u306f\u7d76\u5bfe\u306b\u5fc5\u8981\u3067\u3059\uff0e<img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D+%5Ccdot+%28%5Cbold%7BB%7D+%5Ctimes+%5Cbold%7BC%7D%29+%3D+%28%5Cbold%7BA%7D+%5Ctimes+%5Cbold%7BB%7D%29+%5Ccdot+%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A} \\cdot (\\bold{B} \\times \\bold{C}) = (\\bold{A} \\times \\bold{B}) \\cdot \\bold{C}' title='\\bold{A} \\cdot (\\bold{B} \\times \\bold{C}) = (\\bold{A} \\times \\bold{B}) \\cdot \\bold{C}' class='latex' \/> \u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\uff0e\u3053\u308c\u306f\u30b9\u30ab\u30e9\u30fc\u4e09\u91cd\u7a4d\u306b\u304a\u3044\u3066\u306f\u30c9\u30c3\u30c8\u7a4d\u3068\u30af\u30ed\u30b9\u7a4d\u304c\u5165\u308c\u66ff\u308f\u3063\u3066\u3082\u7d50\u679c\u304c\u5909\u308f\u3089\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u3066\u3044\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>\u30003\u3064\u306e\u30d9\u30af\u30c8\u30eb , \u304a\u3088\u3073 \u306e\u30c9\u30c3\u30c8\u7a4d\u53ca\u3073\u30af\u30ed\u30b9\u7a4d\u306f\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u305f\u610f\u7fa9\u6df1\u3044\u7a4d\u3092\u751f\u307f\u51fa\u3059\u304b\u3082\u3057\u308c\u307e\u305b\u3093\uff0e , \u304a\u3088\u3073 \uff0e\u4ee5\u4e0b\u306e\u6cd5\u5247\u304c\u6709\u52b9\u3067\u3059\uff0e \u306f , , \u304a\u3088\u3073 \u3092\u8fba\u3068\u3059\u308b\u5e73\u884c\u516d\u9762\u4f53\u306e\u4f53\u7a4d\u3067\u3042\u308a\uff0c , \u304a\u3088\u3073 \u304c\u53f3\u624b\u7cfb &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5170\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u4e09\u91cd\u7a4d&#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-5170","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\/5170","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=5170"}],"version-history":[{"count":5,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/5170\/revisions"}],"predecessor-version":[{"id":6783,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/5170\/revisions\/6783"}],"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=5170"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5170"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}