{"id":3284,"date":"2012-12-13T18:18:00","date_gmt":"2012-12-13T09:18:00","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/?p=3284"},"modified":"2021-09-01T20:12:48","modified_gmt":"2021-09-01T11:12:48","slug":"2k12fgttt2","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/2012\/12\/13\/2k12fgttt2\/","title":{"rendered":"2k12FGTTT2"},"content":{"rendered":"<p> \uc218\uc815 \uc804, <\/p>\n<div id=\"outline-container-org7f801fc\" class=\"outline-2\">\n<h2 id=\"org7f801fc\">\uc801\ubd84, INTEGRATION BEFOR FUBINI<\/h2>\n<div class=\"outline-text-2\" id=\"text-org7f801fc\">\n<p> \uac1c\uc694: <\/p>\n<p> \ud478\ube44\ub2c8 \uc815\ub9ac\ub294 \ub2e4\uc911 \uc801\ubd84 \ubb38\uc81c\ub97c \ubc18\ubcf5 \uc801\ubd84\uc744 \ud1b5\ud574 \uc27d\uac8c \ud574\uacb0\ud574 \uc900\ub2e4. <\/p>\n<p> \uadf8\ub7fc, \ud478\ube44\ub2c8 \uc815\ub9ac \uc774\uc804\uc5d0\ub294 \ubcf5\uc7a1\ud55c \ub2e4\uc911 \uc801\ubd84\uc744 \uc5b4\ub5bb\uac8c \ud588\uc744 \uae4c? <\/p>\n<p> \ud0c0\uc774\uac70\uc2a4\ub294 \uc624\uc77c\ub7ec, \uac00\uc6b0\uc2a4 \ub4f1 \ud478\ube44\ub2c8 \uc774\uc804\uc758 \uc218\ud559\uc790\ub4e4\uc774 <\/p>\n<ul class=\"org-ul\">\n<li>\ub2e4\uc911 \uc801\ubd84\uc744 \ud560 \ub54c, \uc5b4\ub5a4 \uc5b4\ub824\uc6c0\uc744 \uacaa\uc5c8\uace0<\/li>\n<li>\uc774 \uc5b4\ub824\uc6c0\uc744 \uc5b4\ub5bb\uac8c \uadf9\ubcf5\ud588\uc73c\uba70<\/li>\n<li>\uc774\ub7ec\ud55c \ubc30\uacbd \uc18d\uc5d0\uc11c \ud478\ube44\ub2c8 \uc815\ub9ac\uac00 \uc5b4\ub5a4 \uc758\ubbf8\ub97c \uac00\uc9c0\ub294 \uc9c0 \uc0dd\uac01\ud574 \ubcf8\ub2e4.<\/li>\n<\/ul>\n<p> \uc218\uc815\uc774\uc720 : \uc624\uc77c\ub7ec, \ub77c\uadf8\ub791\uc9c0 \ub4f1 \uadf8 \ub2f9\uc2dc\uc758 \uc218\ud559\uc790\ub4e4\ub3c4 \ubc18\ubcf5\uc801\ubd84\uc744 \uc0ac\uc6a9\ud588\uc74c. \ud478\ube44\ub2c8\ub294 \uc774\ub97c formal\ud558\uac8c \uc99d\uba85\ud55c \uac83 \ubfd0\uc784. \ub530\ub77c\uc11c \uc774\ub4e4\uc774 \ub2e4\uc911\uc801\ubd84 \uc790\uccb4\ub97c \ud560 \ub54c\ub294 \uc5b4\ub824\uc6c0\uc774 \uc5c6\uc5b4 \ubcf4\uc784. \uc624\ud788\ub824 \ud615\uc2dd\uc5d0 \uc5bd\ub9e4\uc774\uc9c0 \uc54a\uc544 \ub354 \ud3b8\ud558\uac8c \uc801\ubd84\uc744 \ud588\uc744 \uac83\uc784. (\ucc38\uace0\uc790\ub8cc: [<a href=\"http:\/\/mathdl.maa.org\/images\/upload_library\/22\/Polya\/07468342.di020761.02p0032k.pdf\">http:\/\/mathdl.maa.org\/images\/upload_library\/22\/Polya\/07468342.di020761.02p0032k.pdf<\/a> euler and differential\uc758 differentials in multiple integrals \ubd80\ubd84]) <\/p>\n<p> \uc218\uc815 \ud6c4, <\/p>\n<\/div>\n<\/div>\n<div id=\"outline-container-orgb65c0ce\" class=\"outline-2\">\n<h2 id=\"orgb65c0ce\">\uadf8\ub9ac\uc2a4 \uc218\ud559\uc790\ub4e4\uc758 \uc218<\/h2>\n<div class=\"outline-text-2\" id=\"text-orgb65c0ce\">\n<p> \uac1c\uc694: <\/p>\n<p> \uc218\uc5c5 \uc2dc\uac04\uc5d0 \uadf8\ub9ac\uc2a4 \uc218\ud559\uc790\ub4e4\uc740 \uc22b\uc790\ub97c \uc120\uc73c\ub85c \uc0dd\uac01\ud588\ub2e4\uace0 \ub4e4\uc5c8\ub2e4. \uc608\ub97c \ub4e4\uba74, -\uc740 1, \uc774 \uc120\ubcf4\ub2e4 \uc880 \ub354 \uae34 &#x2013;\uc740 2, \uc774\ub7f0 \uc2dd\uc73c\ub85c \ub9d0\uc774\ub2e4. <\/p>\n<p> \ud0c0\uc774\uac70\uc2a4\ub294 \uc774\ub97c \uc880 \ub354  \uc774\ud574\ud558\uace0\uc790, <\/p>\n<ul class=\"org-ul\">\n<li>1\uc7a5\uc5d0\uc11c\ub294, [<a href=\"http:\/\/aleph0.clarku.edu\/~djoyce\/java\/elements\/bookVII\/bookVII.html#defs\">http:\/\/aleph0.clarku.edu\/~djoyce\/java\/elements\/bookVII\/bookVII.html#defs<\/a> \uc720\ud074\ub9ac\uc2a4 \uc6d0\ub860, book vii(\uc77c\uba85, \uc815\uc218\ub860 \uc7a5)\uc758 \uc815\uc758\ud3b8]\uc744 \ubc88\uc5ed\ud55c\ub2e4.<\/li>\n<li>\uc774\ub97c \ud1b5\ud574 2\uc7a5\uc5d0\uc11c\ub294 \uc720\ud074\ub9ac\ub4dc\uac00 \uc218\ub97c \uc5b4\ub5bb\uac8c \ubc14\ub77c\ubd24\ub294 \uc9c0\uc5d0 \ub300\ud574 \uc0dd\uac01\ud574\ubcf8\ub2e4.<\/li>\n<li>\ub9c8\uc9c0\ub9c9\uc73c\ub85c 3\uc7a5\uc5d0\uc11c\ub294 \uc720\ud074\ub9ac\ub4dc\uc758 \uc2dc\uac01\uc744 \uac00\uc9c0\uace0 \uac19\uc740 \uc7a5\uc758 \uba85\uc81c\ud3b8\uc5d0 \uc788\ub294 \uba85\uc81c \ud558\ub098\ub97c \uc9c1\uc811 \uc99d\uba85\ud574\ubcf8\ub2e4.<\/li>\n<\/ul>\n<p> &#8221;&#8217;\uc9c8\ubb38: \uc720\ud074\ub9ac\ub4dc\uac00 \uc218\ub97c \uc5b4\ub5bb\uac8c \ubc14\ub77c\ubd24\ub294\uc9c0\ub97c \uad6c\uccb4\uc801\uc73c\ub85c \ud655\uc778\ud560 \uc218 \uc788\ub294 \uadfc\uac70\ub97c \uc870\uae08\uc774\ub77c\ub3c4 \uc5bb\uc5c8\ub098\uc694? &#8211; \uae40\uc601\uc6b1.&#8221;&#8217;  \ub2f5: \ub808\ud3ec\ud2b8\uc758 2\uc7a5\uc740 \uc774\ub7f0 \uc2dd\uc758 \uc804\uac1c\uac00 \ub420 \uac83 \uac19\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74, &#8220;\uc720\ud074\ub9ac\ub4dc\uac00 \uc218\ub97c \uc9c1\uc120\uc73c\ub85c \uc0dd\uac01\ud588\uae30\uc5d0 \uc815\uc758\ud3b8\uc758 \uba87 \ubc88 \uc815\uc758\uc5d0\uc11c \uc774\ub7f0 \ub2e8\uc5b4\ub97c \uc0ac\uc6a9\ud55c \uac83\uc73c\ub85c \ubcf4\uc778\ub2e4.&#8221; \uc870\uae08\uc740 \ub2e8\uc21c\ud569\ub2c8\ub2e4^^; \ud558\uc9c0\ub9cc \uadfc\uac70(\uc0ac\ub8cc)\ub97c \ucc3e\ub294 \uc77c\ub3c4 \ud765\ubbf8\ub85c\uc6b8 \uac83 \uac19\uc2b5\ub2c8\ub2e4. &#8211; \ud0c0\uc774\uac70\uc2a4 <\/p>\n<\/div>\n<\/div>\n<div id=\"outline-container-org8dc9e3c\" class=\"outline-2\">\n<h2 id=\"org8dc9e3c\">\ubc15\uc815\uaddc \ubc88\uc5ed<\/h2>\n<div class=\"outline-text-2\" id=\"text-org8dc9e3c\">\n<p> [wiki:2k12FGTTT2_02 \uc815\uc758\ud3b8] <\/p>\n<\/div>\n<\/div>\n<div id=\"outline-container-org0e24fb2\" class=\"outline-2\">\n<h2 id=\"org0e24fb2\">\uc815\uc7ac\ud615 \ubc88\uc5ed<\/h2>\n<div class=\"outline-text-2\" id=\"text-org0e24fb2\">\n<p> [wiki:2k12FGTTT2_03 \uc815\uc758\ud3b8] <\/p>\n<\/div>\n<\/div>\n<div id=\"outline-container-org6c229a6\" class=\"outline-2\">\n<h2 id=\"org6c229a6\">\uba85\uc81c \uc99d\uba85<\/h2>\n<div class=\"outline-text-2\" id=\"text-org6c229a6\">\n<p> [wiki:2k12FGTTT2_04 Proposition 4] <\/p>\n<p> \uc720\ud074\ub9ac\ub4dc\uc758 \uc2dc\uac01\uc73c\ub85c 22\uac1c\uc758 \uc815\uc758\ub97c \uc774\uc6a9\ud558\uc5ec Proposition 4 \uc744 \uc99d\uba85\ud574\ubcf8\ub2e4. <\/p>\n<p> Proposition 4- \uc5b4\ub5a4 \uc218\ub294 \ub2e4\ub978 \uc5b4\ub5a4 \uc218\uc758 \ubd80\ubd84 \ub610\ub294 \ubd80\ubd84\ub4e4\uc774\uace0, \ub354 \ud070 \uc22b\uc790\ubcf4\ub2e4 \uc791\uc740 \uc22b\uc790\uc774\ub2e4. <\/p>\n<p> \uc99d\uba85) A,B \ub450\uc218\uac00 \uc788\uace0 A\uac00 \ub354 \ud06c\ub2e4\uace0 \uac00\uc815\ud558\uc790. \uc704\uc758 \uba85\uc81c\ub97c \ubc14\uafd4 \ub9d0\ud558\uba74 B\ub294 A\uc758 \ubd80\ubd84 \ub610\ub294 \ubd80\ubd84\ub4e4\uc784\uc744 \uc758\ubbf8\ud55c\ub2e4 <\/p>\n<p> \uba3c\uc800 A,B\ub294 \ub2e4\ub978 \uc218\uc758 \uc18c\uc218\uc774\uac70\ub098 \uc544\ub2c8\ubbc0\ub85c \ub098\ub204\uc5b4 \uc0dd\uac01\ud574\ubcf4\uc790. <\/p>\n<p> A,B\uac00 \ub2e4\ub978 \uc218\uc758 \uc18c\uc218\uc774\uba74 B\ub97c \uad6c\uc131\ud558\ub294 \uc218\ub85c \ucabc\uac1c\uba74 \uadf8 \uc218\ub294 A\uc758 \ubd80\ubd84\uc774 \ub41c\ub2e4. \ub530\ub77c\uc11c B\ub294 A\uc758 \ubd80\ubd84\ub4e4\uc774\ub2e4. <\/p>\n<p> \ub2e4\uc74c\uc73c\ub85c A,B\uac00 \ub2e4\ub978 \uc218\uc758 \uc18c\uc218\uac00 \uc544\ub2c8\uba74 \ub2e4\uc2dc \ub450\uac00\uc9c0 \uacbd\uc6b0, \uc989 B\uac00 A\ub97c \uc7b4\uc218 \uc788\ub294 \uacbd\uc6b0\uc640 \uc7b4 \uc218 \uc5c6\ub294 \uacbd\uc6b0\ub85c <\/p>\n<p> \ub098\ub258\uac8c \ub41c\ub2e4. (\uc815\uc758 3, \uc815\uc758 4) <\/p>\n<p> B\uac00 A\ub97c \uc7b4\uc218 \uc788\ub2e4\uba74 B\ub294 A\uc758 \ubd80\ubd84\uc774 \ub41c\ub2e4. (\uc815\uc758 3) <\/p>\n<p> \ub9cc\uc57d B\uac00 A\ub97c \uc7b4\uc218 \uc5c6\ub2e4\uba74 A\uc640 B\ub97c \uacf5\ud1b5\uc73c\ub85c \uc7b4 \uc218\uc788\ub294 \ucd5c\ub300 \uc218 C\ub97c \uc7a1\ub294\ub2e4. C\ub85c B\ub97c \ub098\ub204\uac8c \ub418\uba74 \uc5ec\ub7ec\uac1c\uc758 \ubd80\ubd84\ub4e4\uc774 <\/p>\n<p> \uc0dd\uae30\uac8c \ub418\ub294\ub370 C\ub294 A\uc758 \ubd80\ubd84\uc774\ubbc0\ub85c C\uc640 \uac19\uc740 \ud06c\uae30\uc758 \ubd80\ubd84\ub4e4\ub85c \uc774\ub8e8\uc5b4\uc9c4 B\ub294 A\uc758 \ubd80\ubd84\ub4e4\uc774 \ub41c\ub2e4. <\/p>\n<p> \ub530\ub77c\uc11c \uc5b4\ub5a4 \uc218\ub294 \ub2e4\ub978 \uc5b4\ub5a4 \uc218\uc758 \ubd80\ubd84 \ub610\ub294 \ubd80\ubd84\ub4e4\uc774\uace0, \ub354 \ud070 \uc22b\uc790\ubcf4\ub2e4 \uc791\uc740 \uc22b\uc790\uc774\ub2e4. <\/p>\n<\/div>\n<\/div>\n<div id=\"outline-container-org98efad7\" class=\"outline-2\">\n<h2 id=\"org98efad7\">\uc219\uc81c \ubc0f \ud68c\uc758<\/h2>\n<div class=\"outline-text-2\" id=\"text-org98efad7\">\n<ol class=\"org-ol\">\n<li>\ud654\uc694\uc77c \ubc24\uae4c\uc9c0 \ubc88\uc5ed \ub05d\ub0b4\uae30\/ 12\uc6d4 \uccab \uc8fc<\/li>\n<li>\uc815\uc7ac\ud615: \uc6d0\ubb38 \uadf8\ub300\ub85c \ubc88\uc5ed, \ubc15\uc815\uaddc: \uc120\uc758 \uac1c\ub150\uc744 \uac00\uc9c0\uace0 \ubc88\uc5ed\/ 12\uc6d4 \ub458\uc9f8 \uc8fc \ud654\uc694\uc77c<\/li>\n<li>\uc815\uc7ac\ud615: \uc99d\uba85 \ubd80\ubd84 \ub9c8\ubb34\ub9ac, \ubc15\uc815\uaddc: \ub808\ud3ec\ud2b8 2\uc7a5 \ubd80\ubd84 \ub9c8\ubb34\ub9ac\/ 12\uc6d4 \ub458\uc9f8 \uc8fc \uc218\uc694\uc77c<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<div id=\"outline-container-org68a129c\" class=\"outline-2\">\n<h2 id=\"org68a129c\">\uc9c8\ubb38<\/h2>\n<div class=\"outline-text-2\" id=\"text-org68a129c\">\n<p> \u3131 : \ud55c \ubb38\uc7a5\uc744 \ubc88\uc5ed\ud560 \ub54c, \uc758\ubbf8\uac00 \ud1b5\ud55c\ub2e4\uba74(\uac19\uc740 \uc758\ubbf8\ub97c \uac00\uc9d0) \ud0c0\ub2f9\ud55c \ubc88\uc5ed\uc778\uac00\uc694? \uc608\ub97c \ub4e4\uc5b4, \uc6d0\uc11c\ub294 2\ubb38\uc7a5\uc774\uc9c0\ub9cc \ubc88\uc5ed\uc740 4\ubb38\uc7a5\uc744 \uac00\uc9d0. \ubc15\uc815\uaddc <\/p>\n<p> A: \ud0c0\ub2f9\ud55c \ubc88\uc5ed\uc774\uc608\uc694. \uc0ac\ub78c\uc5d0 \ub530\ub77c\uc11c\ub294 \ud55c \ubb38\uc7a5\uc744 \uae38\uac8c \uc4f0\uae30\ub3c4 \ud558\uace0 \uc9e7\uac8c \uc4f0\uae30\ub3c4 \ud574\uc11c \uaf2d \ubb38\uc7a5\uc758 \uac1c\uc218\ub97c \ub9de\ucd94\uc5b4\uc57c \ud560 \ud544\uc694\ub294 \uc5c6\uc5b4\uc694. \ub610 \ubb38\uc7a5\uc774 \uae38\uc5b4\uc9c0\ub9cc \ub73b\uc744 \ud30c\uc545\ud558\uae30 \ud798\ub4e4\uae30\ub3c4 \ud574\uc694. (\uae34 \ubb38\uc7a5\uc73c\ub85c\ub9cc \ub098\ud0c0\ub0bc \uc218 \uc788\ub294 \ub9d0\uc740 \ubcc4\ub85c \uc5c6\uc744\uac70\uc608\uc694.) \ub354\uc6b0\uae30 \uc5b8\uc5b4\uac00 \ub2ec\ub77c\uc9c0\ub9cc \ubb38\uc7a5\uc744 \uc5f0\uacb0\ud574 \uc4f0\ub294\uac00 \uc544\ub2cc\uac00\ub3c4 \ub2ec\ub77c\uc9c0\uae30 \ub54c\ubb38\uc5d0 \ubc88\uc5ed\uc758 \uacbd\uc6b0\uc5d0\ub294 \ub354\uc6b0\uae30 \ubb38\uc7a5\uc758 \uac1c\uc218\ub97c \ub9de\ucd9c \uc218\uac00 \uc5c6\uc744\uac70\uc608\uc694. &#8211; \uae40\uc601\uc6b1. <\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc218\uc815 \uc804, \uc801\ubd84, INTEGRATION BEFOR FUBINI \uac1c\uc694: \ud478\ube44\ub2c8 \uc815\ub9ac\ub294 \ub2e4\uc911 \uc801\ubd84 \ubb38\uc81c\ub97c \ubc18\ubcf5 \uc801\ubd84\uc744 \ud1b5\ud574 \uc27d\uac8c \ud574\uacb0\ud574 \uc900\ub2e4. \uadf8\ub7fc, \ud478\ube44\ub2c8 \uc815\ub9ac \uc774\uc804\uc5d0\ub294 \ubcf5\uc7a1\ud55c \ub2e4\uc911 \uc801\ubd84\uc744 \uc5b4\ub5bb\uac8c \ud588\uc744 \uae4c? \ud0c0\uc774\uac70\uc2a4\ub294 \uc624\uc77c\ub7ec, \uac00\uc6b0\uc2a4 \ub4f1 \ud478\ube44\ub2c8 \uc774\uc804\uc758 \uc218\ud559\uc790\ub4e4\uc774 \ub2e4\uc911 \uc801\ubd84\uc744 \ud560 \ub54c, \uc5b4\ub5a4 \uc5b4\ub824\uc6c0\uc744 \uacaa\uc5c8\uace0 \uc774 \uc5b4\ub824\uc6c0\uc744 \uc5b4\ub5bb\uac8c \uadf9\ubcf5\ud588\uc73c\uba70 \uc774\ub7ec\ud55c \ubc30\uacbd \uc18d\uc5d0\uc11c \ud478\ube44\ub2c8 \uc815\ub9ac\uac00 \uc5b4\ub5a4 \uc758\ubbf8\ub97c \uac00\uc9c0\ub294 \uc9c0 &#8230; <a title=\"2k12FGTTT2\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/ywkim\/2012\/12\/13\/2k12fgttt2\/\" aria-label=\"2k12FGTTT2\uc5d0 \ub300\ud574 \ub354 \uc790\uc138\ud788 \uc54c\uc544\ubcf4\uc138\uc694\">\ub354 \uc77d\uae30<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3284","post","type-post","status-publish","format-standard","hentry","category-lectures"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"\uae40\uc601\uc6b1","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/ywkim","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts\/3284","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/comments?post=3284"}],"version-history":[{"count":1,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts\/3284\/revisions"}],"predecessor-version":[{"id":3285,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts\/3284\/revisions\/3285"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/media?parent=3284"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/categories?post=3284"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/tags?post=3284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}