{"id":5686,"date":"2014-07-21T06:00:57","date_gmt":"2014-07-20T21:00:57","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=5686"},"modified":"2017-04-27T09:17:20","modified_gmt":"2017-04-27T00:17:20","slug":"post-5686","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=5686","title":{"rendered":"\u9010\u6b21\u7a4d\u5206"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p><a href=\"\/\/fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/Fig6-1.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"\/\/fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/Fig6-1.jpg\" alt=\"Fig. 6-1\" width=\"201\" height=\"203\" class=\"aligncenter size-full wp-image-5581\" srcset=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/Fig6-1.jpg 201w, https:\/\/www.fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/Fig6-1-150x150.jpg 150w, https:\/\/www.fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/Fig6-1-100x100.jpg 100w, https:\/\/www.fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/Fig6-1-110x110.jpg 110w\" sizes=\"auto, (max-width: 201px) 85vw, 201px\" \/><\/a><\/p>\n<p>\u4eee\u306b <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' \/> \u304c <em>y<\/em> \u8ef8\u306b\u5e73\u884c\u306a\u3042\u3089\u3086\u308b\u7dda\u304c\uff0c\u305b\u3044\u305c\u30442\u70b9\u306b\u304a\u3051\u308b <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' \/> \u306e\u5883\u754c\u306b\u63a5\u3059\u308b\u306a\u3089\uff0c <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\u63a5\u3059\u308b\u66f2\u7dda <em>ACB<\/em> \u304a\u3088\u3073 <em>ADB<\/em> \u306e\u7b49\u5f0f\u3092\u305d\u308c\u305e\u308c <img src='https:\/\/s0.wp.com\/latex.php?latex=+y+%3D+f_1%28x%29&#038;bg=T&#038;fg=000000&#038;s=0' alt=' y = f_1(x)' title=' y = f_1(x)' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=+y+%3D+f_2%28x%29&#038;bg=T&#038;fg=000000&#038;s=0' alt=' y = f_2(x)' title=' y = f_2(x)' class='latex' \/> \u3068\u8a18\u8ff0\u3067\u304d\u307e\u3059\uff0e\u3053\u3053\u3067 <img src='https:\/\/s0.wp.com\/latex.php?latex=f_1%28x%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='f_1(x)' title='f_1(x)' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=f_2%28x%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='f_2(x)' title='f_2(x)' class='latex' \/> \u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=a+%5Cle+x+%5Cle+b&#038;bg=T&#038;fg=000000&#038;s=0' alt='a \\le x \\le b' title='a \\le x \\le b' class='latex' \/> \u306b\u304a\u3044\u3066\u5358\u4e00\u5024\u3067\u9023\u7d9a\u3067\u3059\uff0e\u3053\u306e\u5834\u5408\uff0c\u4e8c\u91cd\u7a4d\u5206 (3) \u3092\u8a55\u4fa1\u3067\u304d\u307e\u3059\uff0e\u9818\u57df <img src='https:\/\/s0.wp.com\/latex.php?latex=%5CDelta+%5Ccal+R&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\Delta \\cal R' title='\\Delta \\cal R' class='latex' \/> \u3092 <em>x<\/em> \u8ef8\u53ca\u3073 <em>y<\/em> \u8ef8\u306b\u5e73\u884c\u306a\u76f4\u7dda\u3067\u30b0\u30ea\u30c3\u30c9\u3092\u5f62\u6210\u3057\uff0c <img src='https:\/\/s0.wp.com\/latex.php?latex=%5CDelta+A_k&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\Delta A_k' title='\\Delta A_k' class='latex' \/> \u3092\u305d\u308c\u306b\u5bfe\u5fdc\u3059\u308b\u9762\u7a4d\u3068\u3059\u308b\u9577\u65b9\u5f62\u3068\u3057\u3066\u9078\u629e\u3057\u307e\u3059\uff0e\u3086\u3048\u306b (3) \u306f\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+%5Ciint_%7B%5Ccal+R%7D+F%28x%2C+y%29dxdy+%3D+%5Cint_%7Bx%3Da%7D%5E%7Bb%7D%5Cint_%7By%3Df_1%28x%29%7D%5E%7Bf_2%28x%29%7DF%28x%2C+y%29dydx+%3D+%5Cint_%7Bx%3Da%7D%5E%7Bb%7D%5Cleft%5C%7B%5Cint_%7By%3Df_1%28x%29%7D%5E%7Bf_2%28x%29%7DF%28x%2C+y%29dy%5Cright%5C%7Ddx%5Ccdots%284%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\iint_{\\cal R} F(x, y)dxdy = \\int_{x=a}^{b}\\int_{y=f_1(x)}^{f_2(x)}F(x, y)dydx = \\int_{x=a}^{b}\\left\\{\\int_{y=f_1(x)}^{f_2(x)}F(x, y)dy\\right\\}dx\\cdots(4)' title='\\displaystyle \\iint_{\\cal R} F(x, y)dxdy = \\int_{x=a}^{b}\\int_{y=f_1(x)}^{f_2(x)}F(x, y)dydx = \\int_{x=a}^{b}\\left\\{\\int_{y=f_1(x)}^{f_2(x)}F(x, y)dy\\right\\}dx\\cdots(4)' class='latex' \/><\/p>\n<p>\u3053\u3053\u3067\uff08 <em>x<\/em> \u3092\u5b9a\u6570\u3068\u3057\u3066\u6271\u3044\uff09\u62ec\u5f27\u5185\u306e\u7a4d\u5206\u3092\u6700\u521d\u306b\u8a55\u4fa1\u3057\uff0c\u6700\u5f8c\u306b <em>x<\/em> \u306b\u3064\u3044\u3066 <em>a<\/em> \u304b\u3089 <em>b<\/em> \u307e\u3067\u7a4d\u5206\u3057\u307e\u3059\uff0e\u305d\u306e\u7d50\u679c (4) \u306f\u4e8c\u91cd\u7a4d\u5206\u304c\u3069\u3046\u8a55\u4fa1\u3055\u308c\u308b\u304b\u3092\u793a\u3057\u3066\u3044\u307e\u3059\uff0e\u305d\u308c\u30922\u3064\u306e\u5358\u72ec\u306e\u7a4d\u5206\u3068\u3044\u3046\u9762\u3067\u8868\u73fe\u3059\u308b\u3068 <em>\u9010\u6b21\u7a4d\u5206<\/em> \u3068\u547c\u3073\u307e\u3059\uff0e<\/p>\n<p>\u4eee\u306b <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\uff0c2\u70b9\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' \/> \u306e\u5883\u754c\u306b\u63a5\u3059\u308b <em>x<\/em> \u8ef8\u306b\u5e73\u884c\u306a\u3044\u304b\u306a\u308b\u76f4\u7dda\u3067\u3082\u66f2\u7dda <em>CAD<\/em> \u304a\u3088\u3073 <em>CBD<\/em> \u306e\u5f0f\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=x+%3D+g_1%28y%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='x = g_1(y)' title='x = g_1(y)' class='latex' \/> \u304a\u3088\u3073 <img src='https:\/\/s0.wp.com\/latex.php?latex=x+%3D+g_2%28y%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='x = g_2(y)' title='x = g_2(y)' class='latex' \/> \u3068\u8a18\u8ff0\u3067\u304d\uff0c\u540c\u69d8\u306b\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Ciint_%7B%5Ccal+R%7DF%28x%2Cy%29dxdy+%3D+%5Cint_%7By%3Dc%7D%5E%7Bd%7D%5Cint_%7Bx%3Dg_1%28y%29%7D%5E%7Bg_2%28y%29%7DF%28x%2Cy%29dxdy+%3D+%5Cint_%7By%3Dc%7D%5E%7Bd%7D%5Cleft%5C%7B%5Cint_%7Bx%3Dg_1%28y%29%7D%5E%7Bg_2%28y%29%7DF%28x%2Cy%29dx%5Cright%5C%7Ddy%5Ccdots%285%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\iint_{\\cal R}F(x,y)dxdy = \\int_{y=c}^{d}\\int_{x=g_1(y)}^{g_2(y)}F(x,y)dxdy = \\int_{y=c}^{d}\\left\\{\\int_{x=g_1(y)}^{g_2(y)}F(x,y)dx\\right\\}dy\\cdots(5)' title='\\displaystyle \\iint_{\\cal R}F(x,y)dxdy = \\int_{y=c}^{d}\\int_{x=g_1(y)}^{g_2(y)}F(x,y)dxdy = \\int_{y=c}^{d}\\left\\{\\int_{x=g_1(y)}^{g_2(y)}F(x,y)dx\\right\\}dy\\cdots(5)' class='latex' \/><\/p>\n<p>\u4eee\u306b\u4e8c\u91cd\u7a4d\u5206\u304c\u5b58\u5728\u3059\u308b\u306a\u3089 (4) \u304a\u3088\u3073 (5) \u304b\u3089\u306f\u4e00\u822c\u306b\u540c\u3058\u5024\u304c\u5f97\u3089\u308c\u308b\u7b48\u3067\u3059\uff0e\u4e8c\u91cd\u7a4d\u5206\u3092\u8a18\u8ff0\u3059\u308b\u969b\uff0c (4) \u307e\u305f\u306f (5) \u306e\u3044\u305a\u308c\u306e\u5f62\u3067\u3082\u9069\u5207\u306a\u65b9\u304c\u7528\u3044\u3089\u308c\u307e\u3059\uff0e\u3053\u308c\u3092\u4ed6\u306b\u306f <em>\u7a4d\u5206\u9806\u5e8f\u306e\u4ea4\u63db<\/em> \u3068\u3082\u547c\u3073\u307e\u3059\uff0e<\/p>\n<p> <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' \/> \u304c\u4e0a\u56f3\u3067\u8868\u73fe\u3057\u305f\u5f62\u3067\u306a\u3044\u5834\u5408\u306f\uff0c\u3053\u306e\u5f62 <img src='https:\/\/s0.wp.com\/latex.php?latex=%7B%5Ccal+R%7D_1%2C%5C+%7B%5Ccal+R%7D_2%2C%5C+%5Cdots&#038;bg=T&#038;fg=000000&#038;s=0' alt='{\\cal R}_1,\\ {\\cal R}_2,\\ \\dots' title='{\\cal R}_1,\\ {\\cal R}_2,\\ \\dots' class='latex' \/> \u306b\u7d30\u5206\u5316\u3057\u307e\u3059\uff0e\u3086\u3048\u306b <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' \/> \u306e\u4e8c\u91cd\u7a4d\u5206\u306f <img src='https:\/\/s0.wp.com\/latex.php?latex=%7B%5Ccal+R%7D_1%2C%5C+%7B%5Ccal+R%7D_2%2C%5C+%5Cdots&#038;bg=T&#038;fg=000000&#038;s=0' alt='{\\cal R}_1,\\ {\\cal R}_2,\\ \\dots' title='{\\cal R}_1,\\ {\\cal R}_2,\\ \\dots' class='latex' \/> \u306e\u4e8c\u91cd\u7a4d\u5206\u306e\u548c\u3068\u3057\u3066\u898b\u3064\u304b\u308a\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>\u4eee\u306b \u304c y \u8ef8\u306b\u5e73\u884c\u306a\u3042\u3089\u3086\u308b\u7dda\u304c\uff0c\u305b\u3044\u305c\u30442\u70b9\u306b\u304a\u3051\u308b \u306e\u5883\u754c\u306b\u63a5\u3059\u308b\u306a\u3089\uff0c \u306b\u63a5\u3059\u308b\u66f2\u7dda ACB \u304a\u3088\u3073 ADB \u306e\u7b49\u5f0f\u3092\u305d\u308c\u305e\u308c \u304a\u3088\u3073 \u3068\u8a18\u8ff0\u3067\u304d\u307e\u3059\uff0e\u3053\u3053\u3067 \u304a\u3088\u3073 \u306f \u306b\u304a\u3044\u3066\u5358\u4e00\u5024\u3067\u9023\u7d9a\u3067\u3059\uff0e\u3053\u306e\u5834\u5408\uff0c\u4e8c &hellip; <a 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