{"id":3790,"date":"2008-12-31T07:51:00","date_gmt":"2008-12-30T22:51:00","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/?p=3790"},"modified":"2021-09-02T16:16:04","modified_gmt":"2021-09-02T07:16:04","slug":"2001%eb%85%84%eb%8f%84-%ed%95%b4%ec%84%9d%ed%95%99-%ed%8a%b9%ea%b0%95-%ea%b8%80-%eb%aa%a8%ec%9d%8c-%ed%8e%98%ec%9d%b4%ec%a7%80","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/2008\/12\/31\/2001%eb%85%84%eb%8f%84-%ed%95%b4%ec%84%9d%ed%95%99-%ed%8a%b9%ea%b0%95-%ea%b8%80-%eb%aa%a8%ec%9d%8c-%ed%8e%98%ec%9d%b4%ec%a7%80\/","title":{"rendered":"2001\ub144\ub3c4 \ud574\uc11d\ud559 \ud2b9\uac15 \uae00 \ubaa8\uc74c \ud398\uc774\uc9c0"},"content":{"rendered":"<p> \uc774 \ud398\uc774\uc9c0\ub294 2001\ub144\ub3c4\uc5d0 \uad6c\ud615\uc6b4, \ucd5c\uc724\uc11c \uad50\uc218\ub2d8\uacfc \ud568\uaed8 \uac15\uc758\ud55c &#8221;&#8217;\ud574\uc11d\ud559\ud2b9\uac15&#8221;&#8217;\uc5d0\uc11c \ub2f9\uc2dc \uac8c\uc2dc\ud310\uc5d0 \uc4f4 \uae00\ub4e4\uc744 \ub2e4\uc2dc \uc815\ub9ac\ud558\uc5ec \ubaa8\uc740 \uac83\uc785\ub2c8\ub2e4. \uadf8 \uac15\uc758\uc5d0 \ucc38\uc5ec\ud55c 15(?)\uba85\uc758 \ud559\uc0dd\ub4e4\uc740 \uc5f4\uc2ec\ud788 \ucc38\uc5ec\ud558\uace0 \ud1a0\ub860\ud558\uc5ec \ub9ce\uc740 \uc0dd\uac01\ub4e4\uc744 \uac8c\uc2dc\ud310\uc5d0 \uc62c\ub824\ub193\uc558\uc2b5\ub2c8\ub2e4. \uadf8\ub300\ub85c\ub294 \ub2e4\uc74c \uac8c\uc2dc\ud310\uc5d0\uc11c \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4\ub9cc \uc870\uae08 \uc77d\uae30 \uc27d\uac8c \uc5ec\uae30 \uc62e\uaca8 \ub461\ub2c8\ub2e4. <\/p>\n<p> \uac8c\uc2dc\ud310: <a href=\"http:\/\/gromov.com.ne.kr\/board\/\">http:\/\/gromov.com.ne.kr\/board\/<\/a> <\/p>\n<div id=\"outline-container-org1ec3875\" class=\"outline-3\">\n<h3 id=\"org1ec3875\">\uac15\uc758 \uac1c\uc694<\/h3>\n<div class=\"outline-text-3\" id=\"text-org1ec3875\">\n<p> \ud574\uc11d\ud559 \ud2b9\uac15\uc740 \uc138 \ubd84\uc758 \uad50\uc218\ub2d8\uc774 \ucc38\uc5ec\ud558\uc154\uc11c \uac19\uc774 \uacf5\ubd80\ud558\ub294 \uac15\uc88c\uc774\ub2e4. \uc774\ubc88 \ud559\uae30\uc758 \uc8fc\uc81c\ub294 \ubd80\ub4f1\uc2dd\uc73c\ub85c \ud574\uc11d\ud559\uacfc \uadf8 \uc8fc\ubcc0\uc5d0\uc11c \ub098\ud0c0\ub098\ub294 \ubd80\ub4f1\uc2dd\uc744 \uc54c\uc544\ubcf4\uace0 \ubd80\ub4f1\uc2dd\uc744 \uc5b4\ub5bb\uac8c \ub9cc\ub4e4\uace0 \ubcc0\ud615\ud558\uba70 \uadf8 \ub73b\uc744 \ucc3e  \ub294\uac00\ub97c \uacf5\ubd80\ud55c\ub2e4. <\/p>\n<\/div>\n<\/div>\n<div id=\"outline-container-orgd16d168\" class=\"outline-3\">\n<h3 id=\"orgd16d168\">\uad50\uc7ac<\/h3>\n<div class=\"outline-text-3\" id=\"text-orgd16d168\">\n<p> \ucc38\uace0\uc11c: Hardy, Littlewood, Polya, Inequalities, Cambridge Univ. Press. <\/p>\n<\/div>\n<\/div>\n<div id=\"outline-container-org29119ad\" class=\"outline-2\">\n<h2 id=\"org29119ad\">\uac8c\uc2dc\ud310 \ub0b4\uc6a9<\/h2>\n<div class=\"outline-text-2\" id=\"text-org29119ad\">\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217;: (\uaf2d \uc77d\uc5b4 \ubcf4\uc138\uc694)  \uc5ec\uae30 \ucc3f\ub294 \uc0ac\ub78c\uc774 \uadf8\ub9ac \ub9ce\uc9c0 \uc54a\uc740 \uac83 \uac19\uc740\ub370, \uc5ec\uae30\ub3c4 \uac15\uc758\uc2e4\uacfc \uac19\uc740 \uc7a5\uc18c\uc785\ub2c8\ub2e4.  \uc774\ubc88 \ud559\uae30 \ub05d\ub098\uae30 \uc804\uae4c\uc9c0 \ucd5c\uc18c \ud55c\ubc88\uc529\uc740 \uae00\uc62c\ub9ac\uae30\ub85c \ud569\uc2dc\ub2e4.  \ub0b4\uac00 \uad73\uc774 \uc131\uc801\uc5d0 \ubc18\uc601\ub41c\ub2e4 \uc548\ub41c\ub2e4\ub97c \uc774\uc57c\uae30 \ud558\uc9c0 \uc54a\uc544\ub3c4&#x2026;  \ubb3c\ub860 \uc5ec\uae30 \uc640\ubcf4\uc9c0 \uc54a\uc740 \ud559\uc0dd\uc740 \uc774 \uae00 \uc870\ucc28 \uc77d\uc9c0 \ubabb \ud558\uaca0\uc9c0\ub9cc&#x2026;  \uadf8\ub7f0 \ud559\uc0dd\uc740 \ud560\uc218 \uc5c4\uc2dc \ub0b4\uac00 F\ub97c \uc904\uaef4. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; (\uc694\uc57d) 9\uc6d4 10\uc77c \ub0b4\uc6a9  \uc8fc\ub85c \ub098\uc628 \ub0b4\uc6a9 <\/p>\n<ol class=\"org-ol\">\n<li>\ubd80\ub4f1\uc2dd\uacfc \uc0b0\uc220\ud3c9\uade0, \uae30\ud558\ud3c9\uade0\uc758 \uc5ed\uc0ac\uc801 \uac1c\uc694<\/li>\n<li>\ubd80\ub4f1\uc2dd\uc744 \uc774\uc6a9\ud55c \uac70\ub9ac\uc758 \uc0dd\uac01<\/li>\n<li>\ubd80\ub4f1\uc2dd\uc758 \ubcc0\ud615\ub4e4<\/li>\n<li>\ud640\uc218 \uac1c\uc218\uc758 \uc0b0\uc220\uae30\ud558\uc5d0\uc11c \uc74c\uc218\ub294?<\/li>\n<li>\uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc758 \uc77c\ubc18\uc801\uc778 \ubcc0\ud615\uacfc \uc99d\uba85 : 2\ubcc0\uc218\uc5d0\uc11c $ &lambda; a+(1-&lambda; )b &ge; a^{&lambda;} * b^{1-&lambda;} $<\/li>\n<\/ol>\n<p> \u3000\u3000(\uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc740 \uc704\uc758 \uc608\uc758 \u03bb\uac00 1\/2 \uc778 \uacbd\uc6b0) <\/p>\n<ol class=\"org-ol\">\n<li>\uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc758 \uc99d\uba85 :\n<ol class=\"org-ol\">\n<li>\uc704 4\ubc88 \uc2dd\uc744 \uc774\uc6a9\ud574\uc11c \uc218\ud559\uc801\uadc0\ub0a9\ubc95\uc73c\ub85c \uc99d\uba85<\/li>\n<li>\uc820\uc2a8\uc758 \ubd80\ub4f1\uc2dd(\uc774 \ubd80\ub4f1\uc2dd\uc740 \uadf8\ub9bc\uc73c\ub85c \uc0dd\uac01\ud574\uc11c \ucd94\uc0c1\uc801\uc73c\ub85c \uc774\ud574)\uc744 \uc774\uc6a9\ud574\uc11c \uc99d\uba85<\/li>\n<li>\uc6d0\uacfc \uc0bc\uac01\ud615\uc758 \ub2ee\uc74c\uc744 \uc774\uc6a9\ud574\uc11c 2\ubcc0\uc218\uc77c\ub54c \uadf8\ub9bc\uc73c\ub85c \uc99d\uba85.<\/li>\n<\/ol>\n<\/li>\n<li>\uc0b0\uc220\ud3c9\uade0\uacfc \uae30\ud558\ud3c9\uade0\uc744 \uac01\uac01 n\uac1c\uc758 \ubcc0\uc218\ub97c \uac00\uc9c4 \ud568\uc218\ub85c \uc0dd\uac01\ud558\uc5ec, \uadf8 \uc0ac\uc774\uc758 \ud568\uc218 \uad6c\ud558\uae30. -&gt; \uc0b0\uc220\ud3c9\uade0\uacfc \uae30\ud558\ud3c9\uade0\uc744 \uc774\uc6a9\ud55c \uc218\uc5f4\uc744 \ub9cc\ub4e4 \ub54c \uadf8 \uc218\uc5f4\uc758 \uadf9\ud55c\uac12\uc744 \uc0dd\uac01\ud558\uc5ec \uc0dd\uac01\ud560 \uc218\ub3c4 \uc788\ub2e4. (\uadf8 \uc678\uc758 \ubc29\ubc95\ub3c4 \uc788\uc744\uc9c0\ub3c4..?)<\/li>\n<\/ol>\n<p> \ub354 \uc0dd\uac01\ud560 \uc218 \uc788\ub294 \ubb38\uc81c <\/p>\n<ol class=\"org-ol\">\n<li>\ub0b4\uc6a9 5)\uc5d0\uc11c 2\ubcc0\uc218\uc778 \uacbd\uc6b0\uc5d0\ub9cc \uc77c\ubc18\uc801\uc778 \ubcc0\ud615\uc744 \uc99d\uba85\ud588\ub294\ub370, n\ubcc0\uc218\uc5d0\uc11c\ub294 \uc5b4\ub5bb\uac8c \uc99d\uba85\ud574\uc57c\ud560\uae4c?<\/li>\n<li>\uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc758 \ub610 \ub2e4\ub978 \uc99d\uba85\ubc29\ubc95\uc740?<\/li>\n<li>\ub0b4\uc6a9 6)\uc758 \u3262\uc744 3\ubcc0\uc218\uc5d0\uc11c \uad6c\uc640 \uc0bc\uac01\ud615\uc73c\ub85c\ub294 \uc5b4\ub5bb\uac8c \uc99d\uba85\ud560 \uc218 \uc788\uc744\uae4c?<\/li>\n<li>\uc5ec\ubd84\uc73c\ub85c \ub098\uc628 \ub0b4\uc6a9\uc774\uc600\uc9c0\ub9cc, \uc774\ud56d\uacc4\uc218\uc758 \uc77c\ubc18\uc2dd\uc758 \uc99d\uba85\uc740?<\/li>\n<li>\uc0b0\uc220\ud3c9\uade0\uacfc \uae30\ud558\ud3c9\uade0 \uc0ac\uc774\uc5d0 \uc788\ub294 \ud568\uc218 \uad6c\ud558\uae30?<\/li>\n<\/ol>\n<p> \uc5ec\uae30\ub2e4\uac00 \uc218\uc2dd\uc744 \uc4f0\uae30\ub294 \ub9e4\uc6b0 \uc5b4\ub835\ub124\uc694.. \uc9c0\uc218 \uc4f0\uae30\ub3c4 \uadf8\ub807\uace0. \ubd84\uc218 \uc4f0\uae30\ub3c4&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; (\uc7a1\ub2f4) \uc218\uc2dd\uc4f0\uae30  \uc218\uc2dd\uc744 \uc4f0\ub294 \ubc29\ubc95\uc740 \uc5ec\ub7ec\uac00\uc9c0\uac00 \uc788\uaca0\uc9c0\ub9cc&#x2026;  \ud55c\uac00\uc9c0\ub294 \uc218\uc2dd\uc774 \ub9ce\uc740 \uac83\uc740 \ub2e4\ub978 editor\ub85c \ud3b8\uc9d1\ud574\uc11c file\uc744 \uc62c\ub9ac\ub294 \uac83\uc774\uace0,  \ub2e4\ub294 \ud55c\uac00\uc9c0 \ubc29\ubc95\uc740 tex\uc758 \ud45c\ud604\ubc95\uc744 \uc4f0\ub294 \uac83\uc774\uc9c0\uc694. <\/p>\n<p> tex\uc758 \ud45c\ud604\ubc95\uc740 \uc870\uae08\uc740 \ubcf5\uc7a1\ud558\ub2c8\uae4c \uae34 \uc218\uc2dd\uc744 \uc4f0\ub294\ub370\ub294 \ubd88\ud3b8\ud558\uc9c0\ub9cc \uac04\ub2e8\ud55c \uc218\uc2dd\uc740 \ub610 \uadf8 \ub098\ub984\ub300\ub85c\uc758 \uc7a5\uc810\uc774 \uc788\uc5b4\uc694. \ud639\uc2dc \uc774\uac78 \ubaa8\ub974\uba74 C\ub098 Basic\uc758 \ud45c\ud604\uc744 \ube4c\ub824\uc368\ub3c4 \uac04\ub2e8\ud55c\uac74 \ub418\uc9c0\uc694. <\/p>\n<hr \/>\n<p> \uc774\uacbd\uc77c\uc758 \ud30c\uc77c: <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uac15\uc601&#8221;&#8217; (\uc694\uc57d) 9\/17\uc77c \uadf8 \uc14b\uc9f8\uc2dc\uac04&#x2026;  \uc5c7&#x2026;  \uc6b0\uc120 \uc800\ubc88 \uc12d\uacfc \ub2ec\ub9ac \uc218\uc2dd\uc774 \ub9ce\uc774 \ub098\uc624\uace0 \ubcf5\uc7a1\ud558\uc5ec\uc838 \uc774\uacf3\uc5d0 \uc9c1\uc811 \uc4f8\uc218 \uc5c6\ub294\uac83\uc5d0\ub300\ud574  \uc591\ud574\ubd80\ud0c1\ub4dc\ub9bd\ub2c8\ub2e4&#x2026;  \uc81c\ubaa9\ub9cc\uc774\ub77c\ub3c4 \uc368\ubcf8\ub2e4\uba74 <\/p>\n<ol class=\"org-ol\">\n<li>\uc6b0\uc120 \uc0b0\uc220\uae30\ud558\ud3c9\uade0\uc744 \uc77c\ubc18\uc801\uc73c\ub85c \ud655\uc7a5\ud55c,<\/li>\n<li>\ub2e4\uc74c\uc73c\ub85c \ub098\uc628 \uc774\uc57c\uae30\ub294 \uc704\uc758 \uc2dd\uc744 \uc774\uc6a9\ud574 \ub9cc\ub4e0 \ud568\uc218<\/li>\n<li>\uc704\uc640 \uac19\uc740 \uc774\uc57c\uae30\ub97c \ud558\uba70 \uadf8\ub807\ub2e4\uba74 \uacfc\uc5f0<\/li>\n<li>\uc704\uc640\ub294 \ubcc4\ub3c4\ub85c \uc591\uc758 \uc2e4\uc218 \ubc94\uc704\uc5d0\uc11c\uc758 \uc0b0\uc220\uae30\ud558\ud3c9\uade0\uc744 \ubcf5\uc18c\uc218\uc601\uc5ed\uc73c\ub85c \ud655\uc7a5\ud558\uc5ec \uc811\uadfc\ud55c \uc2dc\ub3c4\ub3c4 \uc788\uc5c8\uc2b5\ub2c8\ub2e4.<\/li>\n<li>\uadf8\ubc16\uc5d0&#x2026;<\/li>\n<li>\ub2e4\uc74c\uc8fc\uc5d0\ub294&#x2026;<\/li>\n<li>\ub9fa\uc74c\ub9d0(\uc77d\uc744 \ud544\uc694\uc5c6\ub294&#x2026;)<\/li>\n<\/ol>\n<p> \ud760..\uc5ed\uc26c \uc218\uc2dd\uc740 \ubcf5\uc0ac\uac00 \uc548\ub418\ub294\uad70\uc5ec.. \ud55c\uae0097\ub85c \uc791\uc131\ud558\uc600\uc2b5\ub2c8\ub2e4. <\/p>\n<hr \/>\n<p> \uc774\uac15\uc601\uc758 \ud30c\uc77c: <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; (\uc694\uc57d) \ubcf5\uc18c\uc218\uc5d0\uc11c\uc758 \uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc5d0 \uad00\ud55c \ud30c\uc77c\uc785\ub2c8\ub2e4.  \uac15\uc601\uc5d0\uac8c \ub300\ucda9\ub9cc \uc598\uae30\ud588\ub294\ub370, \uc774\ub807\uac8c\uae4c\uc9c0 \uac15\uc601\uc774\uac00 \uc5f4\uc2ec\ud788 \uc815\ub9ac\ud574\uc11c \uc62c\ub9b4 \uc904\uc740 \ubab0\ub790\uc2b4\ub2e4.  \uc815\ub9d0 \ub300\ub2e8\ud569\ub2c8\ub2e4.  \uadf8 \uc5f4\uc815\uc5d0 \ubc18\ud558\uc5ec \uadf8 \ud30c\uc77c\uc5d0\uc11c \uc0dd\ub7b5\ub418\uc5c8\ub358 \uc800\uc758 \uc99d\uba85\uc744 \ucca8\uac00\ud569\ub2c8\ub2e4. <\/p>\n<p> \uae40\uc6c5\uc6a9\uc758 \ud30c\uc77c: <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217;  \uc6b0\ub9ac\uac00 \uc774\uc81c\uae4c\uc9c0 \ub2e4\ub8e8\uc5c8\ub358 \ubd80\ub4f1\uc2dd\uc5d0\uc11c \ubcf4\uba74  <b>&lt;*<\/b> \uc774\uac70\ub098 <b>=*<\/b> \uc774\uac70\ub098 <b>&gt;*<\/b> \uc911\uc758 \ud558\uac00\uac00 \uc131\ub9bd\ud568\uc740 \ubd84\uba85\ud55c \uc0ac\uc2e4\uc774\ub2e4. <\/p>\n<p> \ubcf5\uc18c\uc218\ub97c \uc0dd\uac01\ud55c \uacbd\uc6b0 a\ub97c \uace0\uc815\uc2dc\ud0a4\uace0 b\ub97c \uc6c0\uc9c1\uc774\uba74 \uc704 \uc14b \uc911\uc758 \ud558\ub098\uac00 \uc131\ub9bd\ud560 \uac83\uc778 \uc989, \uac01 \uc601\uc5ed\uc744 \uacc4\uc0b0 \ud574\ubcf4\ub294 \uac83\ub3c4 \uc7ac\ubbf8 \uc788\uc744 \ub4ef&#x2026;. <\/p>\n<hr \/>\n<p> &#8221;\uad6c\ud615\uc6b4&#8221;&#8217; \uc218\ud559\uacfc \uad50\ud1b5  \ub9e4\ub144\uba85\uc808\uc774\ub418\uba74\uc77c\uc815\ub7c9\uc758\ucc28\ub3d9\ucc28\ub4e4\uc774\uc77c\uc815\ud55c\uc2dc\uac04\uc548\uc5d0\uc77c\uc815\ud55c\ub3c4\ub85c\uc704\ub97c\uc9c0\ub098\uac00\uc57c\ud558\ub294\ub370\uc774\uac83\uc744\ucd5c\uc801\ud654\ud558\ub294\uac74\uc644\uc804\ud788\uc218\ud559\uc801\uc778\ubb38\uc81c\uc77c\ud154\ub370\uae38\uc774\ub9c9\ud788\uac70\ub358\uc774\ubb38\uc81c\ub97c\uc815\ud655\ud788\uc218\ud559\uc801\uc778\ubb38\uc81c\ub85c\uc5b4\ub5bb\uac8c\ubaa8\ub378\ub9c1\ud560\uac83\uc774\uba70\uc5b4\ub5bb\uac8c\ud480\uc5b4\uc57c\ud560\uac83\uc778\uc9c0\ub97c\uc0dd\uac01\ud574\ubd05\uc2dc\ub2e4\ubb3c\ub860\uae38\uc774\ub9c9\ud788\uc9c0\uc54a\uc73c\uba74\ubb38\uc81c\uac00\uc131\ub9bd\ud558\uc9c0\uc54a\uaca0\uc9c0\ub9cc.  &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217;   System\uc758 \ubb38\uc81c\uac00 \uba3c\uc800\ub77c\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4.   *\uace0\ub9bd\uacc4, *\uac1c\ubc29 \uc218\ub3d9\uacc4, *\ud3d0\uc1c4\uacc4, *\uac1c\ubc29 \uc801\uc751\uacc4\ub77c\ub294 \uc2dc\uc2a4\ud15c\ub4e4\uc744 \uace0\ub824\ud558\ub294 \ubc29\ubc95\uc73c\ub85c   \ub3c5\ub9bd\ubcc0\uc218\uc640 \uc885\uc18d\ubcc0\uc218 \uadf8\ub9ac\uace0 universal set (\ub7ec\uc140\uc758 paradox\ub97c axiom\uc73c\ub85c \ubb34\uc2dc\ud55c set;   \uc0ac\ub78c\uc774 \ub9d0\ud55c \ud558\ub098\uc758 \uc608\uc220(art of speaking)\uc744 \uc2e0(God)\uc758 \uc694\uccad\uc73c\ub85c \uac70\ub9cc \ub5a0\ub294 set) \uc548\uc758   elements \ub610\ub294 factor\ubc16\uc5d0 \uc0dd\uac01\uc548\ud558\ub294 \uc218\ud559\uc801 \ubaa8\ub378\ub9c1\uc740 \uc5b4\ub518\uac00 \ubaa8\ub974\uac8c \ucd08\ub77c\ud574 \ubcf4\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc704\uc758 4\uc904\uc740 \uc800\uc758 \uc138\uacc4\uad00\uc774\ubbc0\ub85c \uac1c\uc778\uc801\uc73c\ub85c \uc774\uc57c\uae30\ud558\ub294 \ud3b8\uc774 \uc81c\uc77c \ube60\ub974\uaca0\uc9c0\uc694? \uc800\uc5d0\uac8c \uad00\uc2ec \uc5c6\uc73c\uc2e0 \ubd84\uc740 \uc81c\uac00 \uc0c1\ud669\uc5d0 \ub9de\ucdb0 \uba4b\ub5a8\uc5b4\uc9c0\uac8c \ub9d0\ud560 \ub54c\uae4c\uc9c0 \uc7a1\uc18c\ub9ac\ub85c \uc774\ud574\ud574\uc8fc\uc2dc\uad6c\uc694. <\/p>\n<p> \ub2e8\uc21c\ud788 \uadc0\uc131\uac1d\uc744 \ub3c5\ub9bd\ubcc0\uc218\ub85c, \uace0\uc18d\ub3c4\ub85c\uc548\uc758 \ucc28\ub7c9\uc758 \uc218\ub97c \uc885\uc18d\ubcc0\uc218\ub85c\ud558\ub294 \uadf8\ub7f0 \uac04\ub2e8\ud55c System (\uc608\ub97c \ub4e4\uba74 y&gt;=ax , x:\uadc0\uc131\uac1d\uc218, y:\uace0\uc18d\ub3c4\ub85c\uc548\uc5d0\uc11c \uc18c\ud1b5\uc774 \uc6d4\ud560\ud560 \uc218 \uc788\ub294 \ucc28\ub7c9\uc758 \uc218, a: \uadc0\uc131\uac1d\ub2f9 \ucc28\ub7c9\ucc28\uc9c0\uc728) \uc774\ub77c\uba74 \ubaa8\ub378\ub9c1\ub3c4 \uc27d\uace0, \ub3c5\ub2e8\uc801 \uc815\ucc45\uacb0\uc815\ub9cc\uc774 \ucd5c\uc120\uc77c \uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> \ubb3c\ub860 \uc774\uc5d0 \ub300\ud55c \uba4b\ub5a8\uc5b4\uc9c4 \uc5b4\ub5a4 \uc218\ud559\uc801 \ubaa8\ub378\ub9c1 \uc788\uc744 \uc218 \uc788\uaca0\uc9c0\ub9cc&#x2026; <\/p>\n<p> GPS\uc640 \uac19\uc740 \ub2e4\ub978 \ucca8\ub2e8 \ub3c5\ub9bd\ubcc0\uc218 \ucca8\uac00, \ub2e4\ub978 \uad50\ud1b5\uc218\ub2e8\uc758 \ub3c5\ub9bd\ubcc0\uc218 \uc904\uc784 \ud6a8\uacfc \ub4f1\ub4f1 \ucc38 \uace0\ub824\ud560 \uac83\ub4e4\uc774 \ub9ce\ub124\uc694&#x2026; @@a <\/p>\n<p> &lt;*\uc758 Reference : \ud504\ub799\ud0c8\uacfc \uce74\uc624\uc2a4\uc758 \uc138\uacc4, \uae40\uc6a9\uc6b4, \uae40\uc6a9\uad6d \uc800 p260&gt; <\/p>\n<p> \ubaa8\ub450\ub4e4 \uc990\ub625(\uc990\uac70\uc6b4 \ud1b5\uc2e0\uc774 \ub418\uc2dc\ub77c\ub294 \ub9d0)~~ \ucd94\uc11d \uc798 \ubcf4\ub0b4\uc2dc\uad6c\uc694~ <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217;  \uc880\ub354 \uad6c\uccb4\uc801\uc778 \uc608\ub97c \uc0dd\uac01\ud574\ubcf4\uc790\uba74,  &#8220;\ubc14\ub451\ud310 \ubaa8\uc591\uc758 \uae38\ub4e4\uc774 \uc788\uace0 \uac01 \ubc29\ud5a5\uc73c\ub85c \uad50\ud1b5\ub7c9\uc774 \uac01\uac01 \uc801\ub2f9\ub7c9  \uc815\ud574\uc838\uc788\ub294 \uacbd\uc6b0\uc5d0 \uad50\ud1b5 \uc2e0\ud638\ub4f1\uc758 \uc791\ub3d9\uc744 \uc5b4\ub5bb\uac8c \ud558\uc5ec\uc57c  \uad50\ud1b5 \ud750\ub984\uc744 \ucd5c\ub300\ud55c \ube60\ub974\uac8c \ud560 \uc218 \uc788\ub294\uac00?&#8221;  \uc774 \ubb38\uc81c\ub294 \uc2e0\ud638\ub4f1 \uc5f0\ub3d9\uc81c\uc5d0 \ud574\ub2f9\ud558\ub294 \ubb38\uc81c\ub85c\uc11c  \ub3c4\ub85c\uad50\ud1b5\uc548\uc804\uad00\ub9ac\uacf5\ub2e8\uc5d0\uc11c\ub294 \uc2e4\uc81c\uc758 \ub3c4\ub85c\uc5d0\uc11c \uc774\ubb38\uc81c\ub97c  \ub2e4\ub8e8\uace0 \uc788\uc74c. <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217;  \uc774 \ubb38\uc81c\ub294 \uc544\ub9c8\ub3c4 \ubd80\ub4f1\uc2dd \ubcf4\ub2e4\ub294 \ubc29\uc815\uc2dd \ubb38\uc81c\uac00 \ub420 \uac83 \uac19\uc9c0\uc694?  \ud558\uc9c0\ub9cc \uc774\ub7f0 \ubc29\uc815\uc2dd \ubb38\uc81c\uc5d0\uc11c\ub3c4 \ubd80\ub4f1\uc2dd\uc774 \uae34\uc694\ud55c \uc5ed\ud560\uc744 \ud558\ub294 \uc218\uac00 \uc788\uc9c0\uc694. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; Cauchy Schwarz Inequality  \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd(\uc774\ud558 C-S \ubd80\ub4f1\uc2dd)\uc740 \uc6d0\ub798 \uc77c\ubc18\uc801\uc778 \uc815\uc758\ub294 \uc120\ud615\ub300\uc218\uc5d0\uc11c \ub098\uc624\uc838.  \uc5b4\ub5a4 Vector Space\uc758 \uc6d0\uc18c v,w\uc5d0 \ub300\ud574\uc11c \ub0b4\uc801\uc744 v\u00b7w, \uac01\uac01\uc758 \uae38\uc774\ub97c IvI,IwI\ub77c\uace0 \uc815\uc758\ud558\uba74  v\u00b7w \u2264IvIIwI \uc778 \uac83\uc774 C-S \ubd80\ub4f1\uc2dd\uc774\uac70\ub369\uc5ec. \uc6b0\ub9ac\uac00 \uc54c\uace0 \uc788\ub294 \uac83\uc740 Vector Space\ub97c R^n\uc73c\ub85c \uc815\uc758\ud560 \ub54c\uc758  C-S \ubd80\ub4f1\uc2dd\uc778 \uac83\uc774\uc8e0. \uadf8\ub7f0\ub370 \ubaa8\ub450 \uc54c\ub2e4\uc2dc\ud53c Vector Space\ub294 \ub9ce\uc796\uc544\uc694? \uac01\uac01\uc758 Vector Space\uc5d0\uc11c C-S \ubd80\ub4f1\uc2dd\uc744  \uc870\uc0ac\ud574\ubcf4\uba74 \ub9ce\uc740 \uc2dd\uc774 \ub098\uc62c \uac83 \uac19\uc740\ub370\uc694.. \ud568 \uc54c\uc544\ubcf4\ub294 \uac83\uc740 \uc5b4\ub5a8\uae4c\uc694? <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; Cauchy Schwarz Inequality II  \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd (\uc774\ud558 C-S \ubd80\ub4f1\uc2dd)\uc5d0 \uad00\ub828\ub41c \uac83\uc778\ub370\uc694. \uc774\uac83\uc740 \uc0c1\ubc94\uc774 \ud615\uc774 \uc81c\uc548\ud55c \uac83\uc785\ub2c8\ub2e4. ( (a_1)^2 + (a_2)^2 + &#x2026; + (a_n)^2 )( (b_1)^2 + (b_2)^2 + &#x2026; + (b_n)^2 ) \u2265 ( (a_1)(b_1) + (a_2)(b_2) + &#x2026; + (a_n)(b_n) )^2  \uc778 \uac83\uc740 \ubaa8\ub450\ub35c \uc544\uc2dc\uc790\ub098\uc694.. \uc0c1\ubc94\uc774 \ud615\uc774 \uc81c\uc548\ud55c \uac83\uc740 \uc774\uac83\uc744 n\ud56d\uae4c\uc9c0\ub9cc \uc0dd\uac01\ud558\ub294 \uac83\uc774 \uc544\ub2c8\ub77c, \ubb34\ud55c\ud56d\uae4c\uc9c0 \uc0dd\uac01\ud558\uc790\ub294 \uac83\uc774\uac70\ub4e0\uc694. \ubb3c\ub860 (a_i)^2 \uc758 \ud569\ub4e4\uacfc (b_i)^2 \uc758 \ud569\ub4e4\uc774 \uc218\ub834\ud558\ub294 \ubc94\uc704\uc5d0\uc11c \uc0dd\uac01\ud574\uc57c\uaca0\uc8e0? \uc774 \uc99d\uba85\uc774 \uac00\ub2a5\ud560\uae4c\uc694? \ub610, \ub4f1\ud638\uc870\uac74\uc740 \uc5b4\ub5a8\uae4c\uc694? (\uc0c1\ubc94\uc774\ud615 \ub9d0\ub85c\ub294 \ubd80\ub4f1\uc2dd\uc758 \uc99d\uba85\uc740 \uac00\ub2a5\ud558\ub2e4\uace0 \ud558\ub294\ub370\uc694. \ub4f1\ud638\uc870\uac74\uc77c \ub54c\uac00 \uc798 \uc548\ub41c\ub2e4\uace0 \ud558\ub124\uc694..) <\/p>\n<p> \uc990\uac70\uc6b4 \ucd94\uc11d \uc218\ud559\uacfc \ud568\uaed8~ (\ucd94\uc11d\ub54c \u79cb\u6578 \ud569\uc2dc\ub2e4~~ ^^) <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217;  \uc74c, \uc774\uc81c \ubb34\ud55c\ud56d\uc73c\ub85c \ub4e4\uc5b4\uac00\ub0a8?  \ubb34\ud55c\ud56d\uc744 \uc0dd\uac01\ud55c\ub2f4, \uc9c0\uae08\uae4c\uc9c0 \ud55c \uc0b0\ud3c9-\uae30\ud3c9\ub3c4 \ubb34\ud55c\uac1c\uc758 \ud56d\uc744 \uac16\ub294 \uacbd\uc6b0\ub97c \uc0dd\uac01\ud560 \uc218 \uc788\uc9c0 \uc54a\uc744\uae4c?  \uc5b4\ub290 \ub204\uac00 \uc774\ub7f0\uac70 \ucd94\uc11d\ub3d9\uc548\uc5d0 \uc0dd\uac01\ud574\ubcf4\uad6c, \ub9cc\ub098\uba74 \uc774\uc57c\uae30\ud574\ubcf4\uba74 \uc5b4\ub5a8\uae4c? <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217;  \uc0ac\uc2e4 \uadf8\uac78 \uc0dd\uac01\ud588\uc5c8\uc2b5\ub2c8\ub2e4.  \uc989 \ub78c\ub2e41 + \ub78c\ub2e42 + &#x2026; \uc758 \ubb34\ud55c\uac1c\uc758 \ub78c\ub2e4\uc758 \uae09\uc218\uac00 1\ub85c \uc218\ub834\ud558\uace0, \uac01\uac01\uc758 \ub78c\ub2e4\ub4e4\uc774 0\uacfc 1 \uc0ac\uc774\uc77c \ub54c, \uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc758 \ud615\ud0dc\uac00 \ub9cc\uc871\ub418\uc9c0 \uc54a\uc744\uae4c \ud558\uace0 \ub9d0\uc774\uc8e0. \uadf8\ub7f0\ub370, \ube44\ub85d \ub78c\ub2e4\ub4e4\uc774 \uc218\ub834\ud55c\ub2e4\uace0 \ud574 \ub3c4, \ub9c9\uc0c1 \uc784\uc758\uc758 a\ub4e4\uc5d0 \ub300\ud574\uc11c \ub78c\ub2e4\ub4e4\uacfc a\ub4e4\uc758 \uc120\ud615\uacb0\ud569(\uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc758 \uc67c\ucabd\ud56d)\uc774 \uc218\ub834\ud55c\ub2e4\ub294 \ubcf4\uc7a5\uc774 (\ub2f9\uc5f0\ud788!) \uc5c6\uace0, a\ub4e4\uc758 \ub78c\ub2e4\uc2b9\uc744 \ucde8\ud55c \uc624\ub978\ucabd \ud56d\ub3c4 \uc5ed\uc2dc (\ub2f9\uc5f0\ud788!) \uc218\ub834\ud55c\ub2e4\ub294 \ubcf4\uc7a5\uc774 \uc5c6\uc5b4\uc11c \uc0dd\uac01\ud558\uae30\uac00 \ud798\ub4e4\ub354\uad70\uc694&#x2026; <\/p>\n<p> \uadf8\ub798\uc11c \uc0dd\uac01\ub9cc \ud558\uace0 \uc758\uacac\uc744 \ub0b4\uc9c0\ub294 \uc54a\uc558\uc5c8\uc2b5\ub2c8\ub2e4. <\/p>\n<p> \ud639\uc2dc \ub2e4\ub978 \ubd84\ub35c \uc911 \uc774\uac83\uc5d0 \ub300\ud574 \uc758\uacac \uc788\uc73c\uc2e0 \ubd84\uc740 \ub610 \uac8c\uc2dc\ud310\uc5d0 \uc62c\ub824\uc8fc\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4. <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217;  \ub9c8\uc790. \uc88b\uc740\uc0dd\uac01\uc774\ub124.  \uc55e\uc5d0\uc11c vector space \ubb50\ub77c\uace0\ud588\ub294\ub370, \uc815\uc758\ub97c \ud568 \uc0dd\uac01\ud574\ubcf4\uace0  \uadf8\ub9ac\uace0 \ubb34\ud55c\ud56d \uad00\ub828\ub3c4 vector space\uc758 \ud14c\ub450\ub9ac\uc548\uc5d0\uc11c \uc0dd\uac01\ud560\uc218\uc788\uc9c0 \uc54a\uc744\uae4c\uc694. <\/p>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217;  \uac8c\uc2dc\ud310\uc774 \ubc14\ub00c\uc5b4\uc11c \ud30c\uc77c\uc744 \uc5c5 \ud560 \uc218\uac00 \uc5c6\ub124\uc694.  \ud30c\uc77c \uc548\uc62c\ub9ac\uace0 \uadf8\ub0e5 \uc4f0\ub294 \uac83 \ubcf4\ub294 \uc0ac\ub78c \uc785\uc7a5\uc5d0\uc11c \ud6e8 \uc88b\uc740\ub370&#x2026; \u314e\u314e  \ub0b4\uc6a9 \uc804\ub2ec\uc5d0 \ubb34\ub9ac\uac00 \uc788\uc5b4\uc11c\uc694~ <\/p>\n<p> \uc774 \uae00\uc740 \uc6c5\uc6a9\uc774\uc758 Re: Cauchy Schwarz Inequality II \ub2f5\uae00\uc785\ub2c8\ub2e4. <\/p>\n<p> \ub0a0\uc528\uac00 \ucd94\uc6b4\ub370 \uac10\uae30 \uc870\uc2ec\ud558\uc138\uc694. <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uadf8\ub7f0\uac00\uc694  \uc6b0\ubcc0\uc744 \ub098\ub204\uc5b4\uc11c 1\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\ub2e4\ub294 \uc2dd\uc73c\ub85c \ub193\uc740 \uac83\uc740 \ucc38\uc73c\ub85c \uacf5\uac10\uc774 \uac00\ub294 \ub0b4\uc6a9\uc785\ub2c8\ub2e4. \uadf8\ub7f0\ub370 \uc815\ub9d0\ub85c \uadf8 \ube44\uac00 1\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uc73c\uba74 \uc6d0\uc2dd\uc774 \uc131\ub9bd\ud55c\ub2e4\uace0 \ub9d0\ud560 \uc218 \uc788\uc744\uae4c\uc694? <\/p>\n<p> \uc88c\ubcc0\/\uc6b0\ubcc0 \uc758 \ube44\uc728\uc774 \uc88c\ubcc0\uacfc \uc6b0\ubcc0\uc774 \uac01\uac01 \ubc1c\uc0b0\ud560 \ub54c 1\uacfc \ube44\uad50\ud55c\ub2e4\ub294 \ub73b\uc740 \uc544\ub9c8\ub3c4 \uadf9\ud55c\uc744 \uc0dd\uac01\ud55c\ub2e4\ub294 \uac83\uc774\uaca0\uc9c0\uc694. \ub9cc\uc57d \uc88c\ubcc0\uc758 n\uae4c\uc9c0\uc758 \ubd80\ubd84\uc744 \uc0dd\uac01\ud588\uc744 \ub54c \uacb0\uacfc\uac00 (\ub9cc\uc57d\uc774\uc9c0\ub9cc\uc694!) n+5 \uc774\uace0 \uc6b0\ubcc0\uc758 n\uae4c\uc9c0\uc758 \ubd80\ubd84\uc758 \uacc4\uc0b0\uacb0\uacfc\uac00 n+7 \uc774\ub77c\ub294 \uacb0\uacfc\uac00 \ub098\uc628\ub2e4\uace0 \uc0dd\uac01\ud574\ub3c4 \uadf8 \ube44\uc728\uc740 1\uc774 \ub418\uc5b4\uc11c \uc544\ub7ab\uc2dd\uc740 \uc131\ub9bd\ud558\uc8e0. \ud558\uc9c0\ub9cc \uc5b4\ub5a4 n\uc758 \uacbd\uc6b0\uc5d0 \ub300\ud574\uc11c\ub3c4 n+7\uc774 n+5\ubcf4\ub2e4\ub294 \ud06c\ub2c8\uae4c \uc704\uc758 \uc2dd\uc740 \uc131\ub9bd\ud558\uc9c0 \uc54a\uc8e0. \ubb34\ud55c\uc5d0\uc11c\ub294 \uc591\ubcc0\uc744 \ub611\uac19\uc774 \ub098\ub208\ub2e4\uace0 \ud574\ub3c4 \uc774\ucc98\ub7fc \ubd80\ub4f1\uc2dd\uc774 \uc131\ub9bd\ub418\uc9c0 \uc54a\uc744 \uc218 \uc788\ub2e4\uace0 \ubcf4\uc5ec\uc9c0\ub294\ub370\uc694. \ub530\ub77c\uc11c \uadf8\ub7f0 \uc2dd\uc73c\ub85c \uc0dd\uac01\ud558\ub294 \uac83\uc740 \uc5b4\ub835\uc9c0 \uc54a\uc744\uae4c\uc694? <\/p>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217;  \ub9cc\uc57d\uc774\ub77c\ub294 \ubd80\ubd84\uc744 \uc0dd\uac01\ud588\uc744 \ub54c\ub294 \uc774\ubbf8 \uc720\ud55c\uc744 \uc0dd\uac01\ud558\ub294 \uac83\uc774\uc8e0? \uc720\ud55c\uc740 \ubc8c\uc368 \uc6b0\ub9ac\uac00 \uc218\uc5c5\uc2dc\uac04\uc5d0 \uc99d\uba85\ud55c \ubd80\ubd84\uc785\ub2c8\ub2e4. \uacb0\ucf54 \ub9cc\uc57d\uc774\ub77c\ub294 \uc0c1\ud669\uc774 \uc548\ubc8c\uc5b4\uc9c0\ub294\ub370.. <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217;  \uc88b\uc740 \ud1a0\ub860\uc774\ub124\uc694. \uc774\ub7f0\uc2dd\uc73c\ub85c \uac8c\uc2dc\ud310\uc774 \uc6b4\uc601\ub418\uba74 \ud6cc\ub96d\ud558\ub2e4\uace0 \uc0dd\uac01\ub418\ub124\uc5ec. <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; {br]  \ub9de\ub124\uc5ec.. \uc88b\uc740 \uc0dd\uac01\uc784\ub2e4 ^^ <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc7a5\uc0c1\uc6b4&#8221;&#8217; [\uc7a1\ub2f4]\uc548\ub155\ub4e4\ud558\uc138\uc694  \uc81c\uac00 \uc6d0\ub798 \ub124\ud2b8\uc6cc\ud06c\uc640 \uce5c\ud558\uc9c0 \uc54a\uc544\uc11c \uc774\uacf3\uc758 \ubc29\ubb38\uc744 \uc18c\ud640\ud788 \ud588\uc5b4\uc694.  \uadf8\ub7ec\ub098 \uc55e\uc73c\ub85c \uc774 \uc218\uc5c5\uc5d0 \uc6d0\ud65c\ud788 \uc801\uc751\ud558\uae30 \uc704\ud574\uc120 \uc774\uacf3\uc744 \uc790\uc8fc \uc640\uc11c \uc758\uacac\uc744  \uad50\ud658\ud558\uace0 \uc544\uc774\ub514\uc5b4\ub97c \uacf5\uc720\ud558\ub294\uac8c \ud544\uc694\ud558\ub2e4\ub294 \uc0dd\uac01\uc744 \ud588\uc2b5\ub2c8\ub2e4. \uc0ac\uc2e4 \uc9e7\uc740 \uc218\uc5c5\uc2dc\uac04\uc5d0  \ubc88\ub729\uc774\ub294 \uc544\uc774\ub514\uc5b4\ub97c \uc0dd\uac01\ud558\uae30\ub294 \uac70\uc758 \ud798\ub4e4\uae30 \ub54c\ubb38\uc5d0 \ub354\uc6b1 \uadf8\ub807\uc8e0&#x2026; <\/p>\n<p> \uc77c\ub2e8 vector spaced\uc548\uc5d0\uc11c\uc758 \ucf54\uc26c \ubd80\ub4f1\uc2dd\uc744 \uc0dd\uac01\ud574\ubd10\uc57c\uaca0\uad70\uc694. \uc0dd\uac01\uc774 \uc815\ub9ac\ub418\uba74 \ub2e4\uc2dc \uc774\uacf3\uc744 \ucc3e\uc8e0. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \ubd80\ub4f1\uc2dd\uc774 \ubc29\uc815\uc2dd\uc73c\ub85c..  \uc774 \ubb38\uc81c\ub294 \uc6b0\ub9ac\uc758 \ubb38\uc81c\uc640\ub294 \uc870\uae08 \ubcc4\uac1c\uc758 \uac83\uc77c \uc9c0\ub3c4 \ubaa8\ub974\uc9c0\ub9cc..  \ubaa8\ub450\ub4e4 \ubd80\ub4f1\uc2dd\uc744 \ubd80\ub4f1\uc2dd \uc790\uccb4\uc5d0\uc11c \uc0dd\uac01\ud558\ub294 \uacbd\uc6b0\uac00 \ub9ce\uc740\ub370\uc694.  \uac00\ub054\uc529\uc740 \ubd80\ub4f1\uc2dd\uc744 \ubc29\uc815\uc2dd\uc73c\ub85c \ubc14\uafd4\uc11c \ud45c\ud604\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<p> \uc608\ub97c \ub4e4\uc5b4\uc11c a&gt;b \ub77c\ub294 \uc2dd\uc774 \uc788\uc73c\uba74 a=b+c\uc774\uace0 c \ub294 0\ubcf4\ub2e4 \ud070 \uc2e4\uc218 \ub77c\uace0 \ud45c\ud604\ud560 \uc218\ub3c4 \uc788\ub2e4\ub294 \uac83\uc774\uc9c0\uc694. \uad6c\uac8c \uad6c\uac70 \uc544\ub2c8\ub0d0.. \ub77c\ub294 \uc0dd\uac01\uc774 \uc788\uc744 \uc218\ub3c4 \uc788\uc9c0\ub9cc \uac00\ub054 \uac00\ub2e4 \ubcf4\uba74 \uc774\ub7f0 \uac83\ub4e4\uc774 \ud30c\uc6cc\ub97c \ubc1c\ud718\ud560 \ub54c\uac00 \uc788\uc8e0. <\/p>\n<p> 1\ucc28 \uc5f0\ub9bd \ubd80\ub4f1\uc2dd\uc758 \uacbd\uc6b0 \uadf8\uac70 \uc790\uccb4\ub97c \ud589\ub82c\ub85c \ub098\ud0c0\ub0b4\uae30\ub294 \ud798\ub4e4\uc9c0\ub9cc \uac01\uac01\uc758 \ud589\uc744 \uc704\ucc98\ub7fc \uba87 \uac1c\uc758 \ubbf8\uc9c0\uc218\ub97c \ub298\ub824\uc11c \ubc29\uc815\uc2dd\uc73c\ub85c \ubc14\uafb8\uba74 \ud589\ub82c\ub85c \ud45c\uc2dc \uac00\ub2a5\ud55c \uacbd\uc6b0\uac00 \uadf8 \ub300\ud45c\uc801\uc778 \uc608\uac00 \uc544\ub2d0\uae4c \uc0dd\uac01\ub418\ub294\ub370\uc694. \uadf8\ub0e5. \uc6b0\ub9ac\uac00 \ubd80\ub4f1\uc2dd\uc5d0 \ub300\ud574\uc11c \ub9c8\ub2c8 \ub2e4\ub8e8\uace0 \uc788\uc73c\ub2c8\uae4c.. \ubd80\ub4f1\uc2dd \ubb38\uc81c\uc5d0 \ubd80\ub52a\ud614\uc744 \ub54c \uc774\ub7f0 \uc0dd\uac01\ub3c4 \ud574 \ubcf4\ub294 \uac83\uc774 \uc5b4\ub5a8\uae4c\ub77c\ub294 \uc0dd\uac01\uc73c\ub85c \uae00 \uc62c\ub824 \ubd24\uc2b4\ub2e4. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc5ed\uc2dc \uc6b0\uc5f0\ud788 \ubc1c\uacac\ud55c \uac83..  \uc774 \ubb38\uc81c\ub791\uc740 \uc0c1\uad00\uc774 \uc5c6\uaca0\uc9c0\uc694..  \ubca1\ud130 \uc2a4\ud398\uc774\uc2a4 \uac00\uc9c0\uace0 \ub0b4\uc801 \uc5b4\uca4c\uad6c \ud558\ub2e4 \ubcf4\ub2c8\uae4c \uc6b0\uc5f0\ud788 \ubc1c\uacac\ud55c \uac74\ub370\uc694.  \uc2e4\uc218\uc758 \ubca1\ud130\uacf5\uac04\uc774 \uc0dd\uac01\ud574\ubcf4\ub2c8\uae4c C[0,1] ([0,1] \uc704\uc5d0\uc11c\uc758 \uc5f0\uc18d\uc778 \ud568\uc218\ubaa8\uc784) \uc758 \ubca1\ud130\uacf5\uac04\uc758 \ud55c \ubd80\ubd84\uacf5\uac04\uc774 \ub418\ub354\uad70\uc694. <\/p>\n<p> a\u2208R \uc778 a\ub97c \uc0dd\uac01\ud574 \ubcf4\uba74 \uc774 a\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud55c\ub2e4\uba74.. <\/p>\n<p> \\[ a(x)=a , x\u2208[0,1] \\] <\/p>\n<p> \uc774\uc81c a\ub294 \ud568\uc218\ub85c \ub2e4\ub8e8\uc5b4\uc9c8 \uc218 \uc788\uace0\uc694. \ubb3c\ub860 \uc2e4\uc218\uac00 \ubca1\ud130\uacf5\uac04\uc774\ub2c8\uae4c \uc774\ub7f0 \uc0c1\uc218\ud568\uc218\ub4e4\uc758 \ubaa8\uc784\ub3c4 \ubca1\ud130\uacf5\uac04\uc774\uace0\uc694. \ub0b4\uc801\uc744 \ubcf4\ud1b5 \uc5f0\uc18d\ud568\uc218\ub4e4\uc758 \ub0b4\uc801. \uc989, <\/p>\n<p> \\[ \\int_0^1 f(x)g(x) dx \\] <\/p>\n<p> \ub85c \uc815\uc758\ud558\uba74 \uc6b0\ub9ac\uac00 \uc2e4\uc218\uc5d0\uc11c \uc0dd\uac01\ud558\ub294 \uadf8 \ub0b4\uc801\uc774 \ud280\uc5b4\ub098\uc624\uac8c \ub418\uace0\uc694. \uadf8\ub798\uc11c \uc0c1\uc218\ud568\uc218\ub4e4\uc758 \ubaa8\uc784\uc740 \uc2e4\uc218 \ubca1\ud130\uacf5\uac04\uacfc 1-1 \ub300\uc751\uc744 \uc774\ub8e8\uac8c \ub418\uc5b4\uc11c \uc2e4\uc218\ubca1\ud130\uacf5\uac04\uc744 C[0,1]\ubca1\ud130\uacf5\uac04\uc758 \uc0c1\uc218\ud568\uc218\ub4e4\ub9cc \ubaa8\uc544\ub193\uc740 \ubd80\ubd84\uacf5\uac04\uc73c\ub85c \uc0dd\uac01\ud560 \uc218 \uc788\ub354\uad70\uc694.. <\/p>\n<p> \uadf8\ub0e5 \ubc1c\uacac\ud55c \uac8c \ub118 \uc2e0\uae30\ud574\uc11c \uc801\uc5b4\ubd05\ub2c8\ub2e4 <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \uadf8\ub807\uad70\uc5ec  \uc88b\uc740 \uc0dd\uac01\uc774\ub124\uc694.  \uadf8\ub7f0\ub370 \uc77c\ubc18\uc801\uc778 \ubca1\ud130\uacf5\uac04\uc0c1\uc5d0\uc11c \ub0b4\uc801\uc758 \uc815\uc758\ub294  \uc5b4\ucf00\ub418\ub098? <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc77c\ubc18\uc801\uc778 \ub0b4\uc801\uc758 \uc815\uc758  V\ub97c \ubca1\ud130\uacf5\uac04\uc774\ub77c\uace0 \ud558\uace0, u,v,w\ub97c V\uc758 \uc6d0\uc18c\ub4e4, k\ub97c \uc2a4\uce7c\ub77c\uc758 \uc6d0\uc18c\ub77c\uace0 \ud558\uba74 \ub2e4\uc74c\uc758 \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub3c4\ub85d \ud558\uba74 \ub0b4\uc801\uc774\ub77c\uace0 \uc815\uc758\ud568\ub2e4. <\/p>\n<p> \u00b7: V\u00d7V &#x2014;&gt; F (F\ub294 \uc2a4\uce7c\ub77c)\ub85c\uc11c \ub2e4\uc74c\uc744 \ub9cc\uc871 <\/p>\n<ol class=\"org-ol\">\n<li>v\u00b7w=w\u00b7v<\/li>\n<li>v\u00b7(w+u)=(v\u00b7w)+(v\u00b7u)<\/li>\n<li>v\u00b7(kw)=k(v\u00b7w)<\/li>\n<li>v,v\u22650 for all v\u2208V and if v\u00b7v=0 ,then v=0 only.<\/li>\n<\/ol>\n<p> \uc704\uc758 \uc870\uac74\ub9cc \ub9cc\uc871\ud558\uba74 \ubb34\uc870\uac74 \ub0b4\uc801\uc744 \ub9cc\ub4e4\uc5b4 \ub0bc \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0 \ub0b4\uc801\uc5d0 \uad00\ud55c \uc5ec\ub7ec\uac00\uc9c0 \uc0dd\uac01\uc774 \uac00\ub2a5\ud574\uc9c0\ub294 \uac83\uc774\uc8e0. \uc608\ub97c \ub4e4\uba74 R^n (n\ucc28\uc6d0 \uc2e4\uc218\uacf5\uac04)\uc5d0\uc11c\ub3c4 \uc6b0\ub9ac\uac00 \uc54c\uace0\uc788\ub294 \ub0b4\uc801 \uc774\uc678\uc5d0 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud558\uba74.. <\/p>\n<p> v\u00b7w = c_1 v_1 w_1 + c_2 v_2 w_2 + &#x2026; + c_n v_n w_n where v=( v_1 , v_2 , &#x2026; , v_n ) , w=( w_1 , w_2 , &#x2026; , w_n ) <\/p>\n<p> \uc774\uac83\ub3c4 \uc704\uc758 \ub124 \uc870\uac74\uc744 \ub9cc\uc871\ud558\ubbc0\ub85c \ub610\ub2e4\ub978 \ub0b4\uc801\uc774 \ub420 \uc218 \uc788\uc8e0.. (\uc81c\uac00 \uc54c\uae30\ub85c\ub294 \ubb34\uac8c\ub97c \uac00\uc9c4(weighted) \ub0b4\uc801\uc774\ub77c\uace0 \uc54c\uace0 \uc788\ub294\ub370\uc694..) \uc544\ubb4f\ud2bc \uc544\ubb34 \ub0b4\uc801\uc774\ub098 \uc704\uc758 \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub3c4\ub85d \ub9cc\ub4e4 \uc218 \uc788\ub2e4\uba74 \uadf8 \uac01\uac01\uc5d0 \ub300\ud574 \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc744 \ub9cc\ub4e4\uc5b4 \ub0bc \uc218 \uc788\uaca0\uc8e0? ^^ <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217;  \uc74c. \uc544\uc8fc \uc798 \uc801\uc5c8\uad70\uc5ec. \ud55c\uac00\uc9c0 \ub354 \ubc14\ub780\ub2e4\uba74 \uc880\ub354 \ub9ce\uc740 \uc608\ub97c \uc801\uc5b4 \uc8fc\uc5c8\uc73c\uba74&#x2026; R^n \uacfc \uac19\uc740 \uc720\ud55c \ucc28\uc6d0 Vector space \ub9d0\uace0&#x2026; <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uacfc H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd  \uc5ec\uae30 \ucca8 \uae00\uc744 \uc62c\ub9ac\ub294\uad70\uc694&#x2026; \ubaa8\ub450\ub4e4 \ucd94\uc11d \uc798 \ubcf4\ub0b4\uc168\ub098\uc694??  \uc6b0\uc5f0\ud788 \uc0dd\uac01\ud558\uac8c \ub41c \ub0b4\uc6a9\uc785\ub2c8\ub2e4. \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uacfc H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd\uc758 \uc5f0\uad00\uc131&#x2026; H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/p>\n<p> p, q\uac00 (1\/p)+(1\/q)=1\uc744 \ub9cc\uc871\ud558\ub294 \uc74c\uc774 \uc544\ub2cc extended real number\ub4e4\uc774\uace0 (\uc989, p \ub610\ub294 q\uac00 \ubb34\ud55c\ub300\uc778 \uacbd\uc6b0\ub3c4 \ud5c8\uc6a9\ud55c\ub2e4\ub294 \ub73b) f\uac00 L^p-space\uc758 \uc6d0\uc18c\uc774\uace0, g\uac00 L^q-space\uc758 \uc6d0\uc18c\uc77c \ub54c, f*g (f\uc640 g\ub97c \uadf8\ub0e5 \uacf1\ud55c \ud568\uc218)\ub294 L^1-sapce\uc758 \uc6d0\uc18c\uc774\uace0 \ub2e4\uc74c\uc774 \uc131\ub9bd\ud569\ub2c8\ub2e4. <\/p>\n<p> integral |f*g| &lt;= (integral |f|^p)^{1\/p} * (integral |g|^q)^{1\/q} (\uc5ec\uae30\uc11c integral\uc740 Lebegue integration\uc784, \ub530\ub77c\uc11c Riemann integrable\ud55c \uacbd\uc6b0\ub294 \ub2f9\uc5f0\ud788 \uc131\ub9bd) <\/p>\n<p> \ub9cc\uc57d \uad6c\uac04 [a,b]\uc5d0\uc11c \uc5f0\uc18d\uc778 x\uc5d0 \uad00\ud55c \ubaa8\ub4e0 \ud568\uc218\ub4e4\uc5d0 \ub300\ud558\uc5ec =integral{from 0 to 1} fg dx\uc73c\ub85c \ub0b4\uc801 \uacf5\uac04\uc744 \ub9cc\ub4e4\uba74, \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc774 \ub2e4\uc74c\uacfc \uac19\uc740 \ubaa8\uc591\uc744 \uac16\uc2b5\ub2c8\ub2e4. <\/p>\n<table border=\"2\" cellspacing=\"0\" cellpadding=\"6\" rules=\"groups\">\n<colgroup>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<\/colgroup>\n<tbody>\n<tr>\n<td class=\"org-left\">integral{from a to b} fg dx<\/td>\n<td class=\"org-left\">&lt;=(integral{from a to b} f^2 dx)^{1\/2} * (integral{from a to b} g^2 dx)^{1\/2}<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> \uc5ec\uae30\uc11c 1\/2 + 1\/2 = 1\uc774 \ub418\ub2c8\uae4c \uc704\uc758 H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd \ubaa8\uc591\uacfc \uc720\uc0ac\ud558\uc9c0 \uc54a\ub098\uc694?? \uc911\uac04\uc5d0 \ubb34\uc5b8\uac00\uac00 \ube60\uc9c4 \ub4ef\ud558\uc9c0\ub9cc\uc694&#x2026;^^ <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \uadf8\ub807\uad70\uc694  \uadf8\ub807\ub124\uc694. <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc74c&#x2026;  \uadf8 \ubb34\uc5b8\uac00 \ube60\uc84c\ub2e4\uace0 \ud558\ub294 \uac83\uc774 \uc544\ub9c8\ub3c4 \uc81c \uc0dd\uac01\uc785\ub2c8\ub2e4\ub9cc <\/p>\n<p> \uc88c\ubcc0\uc758 fg\uc758 \uc801\ubd84\uc2dd\uc5d0\uc11c \ucf54\uc2dc \uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc740 \uc808\ub300\uac12\uc774 \ubc14\uae65\uc5d0 \ubd99\ub294 \ub370 \ubc18\ud574\uc11c \ud694\ub354\uc758 \ubd80\ub4f1\uc2dd\uc740 \uc808\ub300\uac12\uc774 \uc548\uc5d0 \ubd99\ub294\ub2e4\ub294 \uac83\uc774\uaca0\uc9c0\uc694. <\/p>\n<p> L^1 \uacf5\uac04\uc5d0\uc11c\ub294 \ub2e4\uc74c \uc2dd\uc774 \uc131\ub9bd\ud558\ub2c8\uae4c.. <\/p>\n<p> int I fg I \u2265I int fg I <\/p>\n<p> (\uc704\uc758 \uc2dd\uc740 \uc2e4\uc218\uc5d0\uc11c \uc0dd\uac01\ud558\uae30\ub294 \uc5b4\ub835\uc9c0 \uc54a\uc744\uac70\uc5d0\uc694. \uadf8\ub798\ud504\ub85c \ub044\uc801\uac70\ub824\ubcf4\uba74 \uc27d\uac8c \uc0dd\uac01\ub420\ud14c\ub2c8\uae4c. \ud558\uc9c0\ub9cc \uc99d\uba85\uc740 \ub9cc\ub9cc\uce58\ub294 \uc54a\uc8e0. \uc0dd\uac01\ud558\uae30\uac00 \ud798\ub4e0..) <\/p>\n<p> (\uc544.. \ucc38\uace0 L^p \uacf5\uac04\uc774\ub780 \uac83\uc740 p\ubc88 \uc801\ubd84\uac00\ub2a5\ud55c \ud568\uc218\ub4e4\uc744 \ubaa8\uc544\ub193\uc740 \uacf5\uac04\uc774\ub77c\uace0 \uc800\ub294 \uc54c\uace0\uc788\uac70\ub4e0\uc694.. \ub9de\ub098?..) <\/p>\n<p> \uadf8\ub2c8\uae4c \ud694\ub354\uc758 \ubd80\ub4f1\uc2dd\uc774 \ub9cc\uc871\ub418\uba74 \ucf54\uc2dc\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc740 \uc790\uc5f0\uc2a4\ub808 \ub9cc\uc871\ub418\ub294 \uac83\uc774\uc9c0\uc694. (\uc77c\uc885\uc758 \ud568\uc218\uacf5\uac04\uc5d0\uc11c \ucf54\uc2dc\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc758 \uc99d\uba85\uc774 \ub418\ub294 \uc148\uc778\uac00\uc694.. \uc74c.. \ucf54\uc2dc\uc288\ubc14\ub974\uce20 \uc99d\uba85 \uc790\uccb4\ub294 \uadf8\ub2e4\uc9c0 \uc5b4\ub835\uc9c0\ub294 \uc54a\uc744\ud150\ub370.. &lt;&#x2013; \uc880 \uc5b4\uc124\ud504\uae34 \ud558\uc9c0\ub9cc \uace0\ub4f1\ud559\uad50 \uc2e4\ub825\uc73c\ub85c\ub3c4 \uc99d\uba85\uc740 \uac00\ub2a5\ud558\ub2c8\uae4c.) <\/p>\n<p> \ud558\uc9c0\ub9cc \ud694\ub354 \ubd80\ub4f1\uc2dd\uc744 \uc99d\uba85\ud558\ub294 \uac74 \uadf8\ub807\uac8c \ub9cc\ub9cc\ud55c \ubb38\uc81c\ub294 \uc544\ub2c8\uc8e0.. \ub610 \ubd80\ub4f1\uc2dd\uc5d0\uc11c\ub294 \ubc18\ub300\ubc29\ud5a5\uc740 \uc608\uae30\ud558\uae30 \ud798\ub4dc\ub2c8\uae4c \ucf54\uc2dc\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc744 \uac00\uc9c0\uace0 \ud694\ub354\uc758 \ubd80\ub4f1\uc2dd\uc744 \uc598\uae30\ud558\ub294 \uac74 \ubd88\uac00\ub2a5\ud558\ub2e4\uace0 \ubcf4\uc5ec\uc9c0\uace0\uc694.. \ud639\uc2dc \uc5b4\ub5a4 \uc870\uac74\uc774 \uc788\ub2e4\uba74 \ubaa8\ub97c\uae4c.. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uac15\uc601&#8221;&#8217; \uc74c&#x2026;  \ud760&#x2026;\uac8c\uc2dc\ud310 \uc62e\uae30\uace0 \ucc98\uc74c\uc774\ub124\uc694..  \uc804\ubc88 \uac8c\uc2dc\ud310\uc774 \uc218\uc218\ud558\uace0 \ud3b8\ud588\ub358\uac83 \uac19\uc740\ub370..  \uc5ec\uae34 \uad11\uace0\ub3c4 \uc788\uace0..\ud558\uc9c0\ub9cc.. <\/p>\n<p> \uc800\ub450 \ubb54\uac00 \uc368\uc11c\uc62c\ub824\ubcf4\ub824\uad6c \ub044\uc801\uc5ec \ubcf4\uc9c0\ub9cc \uc5bb\uc5b4\uc9c0\ub294\uac74 \uc5c6\uad6c. \ub2e4\ub978 \uc120\ubc30\ub098\uce5c\uad6c\ub4e4 \uc598\uae30\ub098 \ud6dd\uc5b4\ubcf4\uba70 \uc2e0\uae30\ud574\ud558\uae30\ub9cc \ud558\uad6c.. \uc74c.. \uc740\uadfc\ud788 \uc740\uadfc\ud788 \uc6d4\uc69c\uc774 \uac71\uc815\ub429\ub2c8\ub2e4..\ud760..\uc880\ub354 \ub044\uc801\uc5ec \ubd10\uc57c\uaca0\ub124\uc5ec\/\/\/\/\uc4f8\ub370\uc5c6\ub294 \uc7a1\ub2f5\uc774\uc5c8\uc2b5\ub2c8\ub2e4..\uadf8\ub7fc&#x2026; \ub2ec\uc774 \ucabc\uadf8\ub77c\ub4e4\uace0 \uc788\ub294\ubc24\uc5d0.. <\/p>\n<p> &#8221;&#8217;\ucd5c\uc7ac\ud76c&#8221;&#8217; \uc800\ub791 \ube44\uc2b7\ud558\ub124\uc694 ^^  \uc800\ub3c4 \ubb54\uac00 \uc5ec\uae30 \uc640\uc11c \uc598\uae30\ud574\ubcf4\uace0\uc2f6\uc740\ub370&#x2026;  \uc120\ubc30\ub4e4\uc774 \uc62c\ub824\ub193\uc740\uac70 \ubcf4\ub2e4\uac00\ub9cc \uac11\ub2c8\ub2e4..  \uc740\uadfc\ud788 \uc6d4\uc694\uc77c\uc774 \uac71\uc815\ub41c\ub2e4\ub294 \uac15\uc601\uc774 \uc624\ube60 \ub9d0\uc5d0 \ub3d9\uac10!!! <\/p>\n<p> \uc800~\uae30 \ubc11\uc5d0 \uc6c5\uc6a9\uc774 \uc624\ube60\uac00 \uc81c\uc548\ud558\uc2e0 \ucf54\uc2dc\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd \ub9cc\ub4e4\uae30 \ud574\ubd10\uc57c\uaca0\ub124\uc694~~ \ubaa8\ub450\ub4e4 \uc8fc\ub9d0 \uc990\uac81\uac8c \ubcf4\ub0b4\uc138\uc694~ <\/p>\n<p> nnn&#x2026;&#x2026;&#x2026;&#x2026;n\ucd5c\uc7ac\ud76c <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \uc800\ub791 \ube44\uc2b7\ud558\ub124\uc694 ^^ &lt;- \ud560\uaebc \ub9c8\ub098\uc5ec..  \uc704\uc758 23\ubc88\uae00 \uc77c\uac70\ubcf4\uad6c \ud568 \ud574\ubd10\uc5ec. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; [\uacf5\uc9c0] \ud63c\uc790 \uc9c4\ub3c4 \ub098\uac00\uae30  \uc6b0\uc120 \uc774 \ubcf4\ub4dc\ub294 \ucef4\ub0b4\uaebc(\uc77d\uc5b4\ubcf4\uba74 \ucef4\ub124\uaebc \uac19\uc74c)\uc758 \ubb34\ub8cc \uc11c\ube44\uc2a4\ub97c \uc0ac\uc6a9\ud558\uc5ec \ub9cc\ub4e0 \uac83\uc785\ub2c8\ub2e4. \ubb34\ub8cc \uac8c\uc2dc\ud310 \ud504\ub85c\uadf8\ub7a8\ub4e4\uc774 bug\uac00 \ub9ce\uc544\uc11c\ub9ac&#x2026;. <\/p>\n<p> \uc544\ub798 \ub204\uad70\uac00\uac00 \ub9d0\ud55c\uac70\ucc98\ub7fc \uc5b4\ub5a4 \uc0ac\ub78c\ub4e4\uc740 \uc5b4\ub824\uc6b4 \uc815\uc758\ub4e4\uc744 \ub9c8\uad6c \uac16\ub2e4\uac00 \uc368\uc11c \ucd08\uc2ec\uc790\ub4e4\uc744 \ub2f9\ud669\ud558\uac8c \ud558\ub294\uad70\uc694. \ubc29\ud5a5\uc740 \ub9de\uc9c0\ub9cc \uadf8 \ub0b4\uc6a9\ub3c4 \uc798 \uc124\uba85\ud560 \uc218 \uc788\uc5b4\uc57c \ud55c\ub2e4\ub294 \uac83\uc740 \ub450\ub9d0\ud55c \ud544\uc694\uac00 \uc5c6\uc9c0\uc694. <\/p>\n<p> \uadf8\ub7f0 \uae00\uc744 \uc77d\uace0 \uba4d\ud55c \uc0ac\ub78c\ub4e4\ub3c4 \uac71\uc815\ud560 \uac83\uc740 \uc5c6\uc5b4\uc694. \uc608\ub97c \ub4e4\uc5b4 \ucf54\uc2dc \ubd80\ub4f1\uc2dd\uc744 \uc0c8\ub85c\uc6b4 \ub0b4\uc801\uc5d0 \ub300\ud558\uc5ec \uc774\uc57c\uae30\ud55c \uae00\uc744 \uc77d\uace0\ub294 &#x2026; <\/p>\n<ol class=\"org-ol\">\n<li>\uadf8 \ub0b4\uc6a9\uc744 \uad6c\uccb4\uc801\uc73c\ub85c(\uc131\ubd84\uc73c\ub85c) \uc4f0\uba74 \uc5b4\ub5a4 \uc774\uc57c\uae30\uac00 \ub418\ub294\uac00\ub97c \uc54c\uc544\ubcf4\uace0,<\/li>\n<li>\uc6d0\ub798\uc758 \uc26c\uc6b4 \ucf54\uc2dc \ubd80\ub4f1\uc2dd\uacfc \uc5b4\ub5a4 \uad00\uacc4\uc778\uac00\ub97c \uc54c\uc544\ubcf4\uace0,<\/li>\n<li>\uc0c8 \ubd80\ub4f1\uc2dd\uc774 \uc6d0\ub798 \ubd80\ub4f1\uc2dd\uc5d0\uc11c \uc5b4\ub5a4 \uc0dd\uac01\uc744 \ud558\uba74 \ub9cc\ub4e4\uc5b4\uc9c8 \uc218 \uc788\ub294\uac00\ub97c \uc0dd\uac01\ud574\ubcf4\ub2e4\ubcf4\uba74 \ub354 \uc77c\ubc18\ud654\ud558\uac70\ub098 \ud558\ub294 \uac83\uc774 \uac00\ub2a5\ud574\uc9c8 \ub54c\ub3c4 \uc788\uc744 \uac70\uc608\uc694.<\/li>\n<\/ol>\n<p> \uadf8\ub7fc \uc218\uc5c5\uc2dc\uac04\uc5d0 \uc640\uc11c (2)\ub3c4 \uc124\uba85\ud574\uc8fc\uace0, (3) \uac19\uc740 \uac83\uc774 \uc788\uc73c\uba74 \ub354\uc6b1 \uc88b\uc73c\ub2c8\uae50&#x2026; <\/p>\n<p> \ud2b9\ud788, \uc5b4\ub824\uc6b4 \uc774\uc57c\uae30\uac00 \uc788\uc744 \ub54c\ub294 \uc5ec\uae30\ub2e4 \uc9c8\ubb38\ud574\ub3c4 \uc88b\uace0(\uc9c8\ubb38\ub3c4 \uc774\uc57c\uae30\ud55c\uac78\ub8e8 \uce69\ub2c8\ub2f7!!!) \ub610\ub294 \uc120\uc0dd\ub2d8\ub4e4\uaed8 \ubab0\ub798 e-\uba54\uc77c\ub8e8 \ubb3c\uc5b4\ubd10\ub450 \ub418\uc8e0. <\/p>\n<p> \uadf8\ub7fc \uc990\uac10, \uc990\ud1b5, \uc990\uc0dd &#x2026; <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \ub9c8\uc790\uc694.  \uadfc\ub370, &#8220;\uadf8\ub7fc \uc990\uac10, \uc990\ud1b5, \uc990\uc0dd &#x2026;&#8221; \uc774\uac8c \ubb50\uc8e0? <\/p>\n<p> \uae00\uad6c, \uc774 \uac8c\uc2dc\ud310\uc740 \uc544\uc8fc \uc798\ub418\ub124\uc694. \uadf8\ub798\uc11c \ubb58 \ud669\uce60\uc744 \uc880\ud574\ubcf4\uace0\uc2f6\uc740\ub370 \uc74c&#x2026;. (\uae30\uc5b5\ub825\uc774 \uc6cc\ub099 \ub098\ube60\uc11c \uc5ec\uae30 \ub4e4\ub77d \ub0a0\ub77d \ud558\uba74\uc11c\ub3c4 \ubb58\uc77d\uc5c8\ub294\uc9c0 \ubb58 \uc37c\uc5c8\ub294\uc9c0 \ud1b5 \uae30\uc5b5\uc740 \uc548\ub098\uace0&#x2026;) <\/p>\n<p> \ud760&#x2026; \ubd80\ub4f1\uc2dd\uc774\ub77c \uadf8\ub9ac\uace0 \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc774\ub77c&#x2026; \uc5b4? \ucf54\uc2dc \ubd80\ub4f1\uc2dd\ub3c4 \uc544\ub2c8\uace0 \uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\ub3c4 \uc544\ub2c8\uace0 \uc65c \ud569\uccd0\uc838\uc788\uc9c0?&#x2026; <\/p>\n<p> \uae00\uad6c, \uc774 \ubd80\ub4f1\uc2dd\uc758 \uc758\ubbf8\ub294 \uc5b4\ub5a4 \uac83\ub4e4\uc774 \uc788\ub098\uc694? (\uc9c0\ub09c\ubc88 \uc0b0\uc220-\uae30\ud558 \ud3c9\uade0\uc5d0 \uad00\ud55c \uac83\uc758 \uc758\ubbf8\ub97c \ucc3f\uc544 \ubcf4\uc558\uc5c8\ub4ef\uc774. \uadf8\ub7ac\uc5c8\ub294\uc9c0 \uc544\ub2cc\uc9c0\ub294 \uae30\uc5b5\uc774 \uc548\ub098\uc9c0\ub9cc&#x2026;) <\/p>\n<p> \ubb54\uc9c0\ub294 \ubaa8\ub974\uc9c0\ub9cc &#8220;\uadf8\ub7fc \uc990\uac10, \uc990\ud1b5, \uc990\uc0dd &#x2026;&#8221; <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \uc990\uac10 = \uc990\uac81\uac8c \uac10\uc0c1(\ud558\uc138\uc694) \uc990\ud1b5 = \uc990\uac81\uac8c \ud1b5\uc2e0(\ud558\uc138\uc694) \uc990\uc0dd = \uc990\uac81\uac8c \uc0dd\uac01(\ud558\uc138\uc694) <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; [\uc81c\uc548]\uc911\uc694\ud55c \uac74 \ub9d0\uc774\uc8e0&#x2026; <\/p>\n<p> \ub0b4 \uc0dd\uac01\uc5d0\ub294 \uc218\ud559\uc744 \ud558\uba74\uc11c \uc911\uc694\ud55c \uac83\uc740: \uc5f4\uc2ec\ud788 \uc0dd\uac01\ud558\uace0 \ub178\ub825\ud558\ub294\uac83\uc774\ub77c\uace0 \uc0dd\uac01\ub429\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \uadf8\ub7ec\ud55c \uacfc\uc815\uc744 \uc990\uae38 \uc218 \uc788\uc73c\uba74 \ub354\uc6b1 \uc88b\uace0. \ub0b4\uac00 \ud558\ub294 \uac83\uc774 \uac70\ucc3d\ud55c \ubb38\uc81c\uc77c \ud544\uc694\ub3c4 \uc5c6\uace0 \ud558\uace0\uc790 \ud558\ub358\uac83\uc774 \uc548\ub418\ub3c4 \uc88b\uace0, \ub418\uba74 \ub354\uc88b\uace0. \ubb58 \ubc30\uc6b0\ub0d0\uace0? \uae00\uc384, \ubb3c\ub860 \uc218\ud559\uc801 \uc9c0\uc2dd\ub3c4 \uc911\uc694\ud558\uc9c0\ub9cc \uadf8\uac74 \ucc45\uc5d0\uc11c \ucc3f\uc544 \ubcfc \uc815\ub3c4\uba74 \ub420\ud14c\uace0. \uac00\uc7a5 \uc911\uc694\ud55c\uac74 \uc0dd\uac01\ud558\ub294 \ub2a5\ub825\uc744(\uc5b4\ub5a4 \uc8fc\uc5b4\uc9c4 \ubb38\uc81c-\uc218\ud559\uc774\uac74 \uc544\ub2c8\uac74-\ub97c \ud574\uacb0\ud558\ub294 \ub2a5\ub825) \ubc30\uc6b0\ub294\uac8c \uc544\ub2d0\uae4c \uc2f6\ub124\uc694. \uadf8\ub798\uc11c \uc548\ud480\ub824\ub3c4 \uc88b\uace0 \ud480\ub9ac\uba74 \ub354\uc6b1 \uc88b\uace0, \uc911\uc694\ud55c\uac74 \uc5f4\uc2ec\ud788 \uc815\uc131\uc744 \ub2e4\ud574 \uc0dd\uac01\ud558\uace0 \ub178\ub825\ud558\ub294 \uac83 \uac19\uc544\uc694. <\/p>\n<p> \uc218\ud559\uc744 \uc5f4\uc2ec\ud788 \ud558\ub294 \uc0ac\ub78c\ub4e4\uc740 \uc790\uae30\uc790\uc2e0\uc774 \ucd08\ub77c\ud558\ub2e4\uace0 \uc5ec\uaca8 \uc9c8 \ub54c\uac00 \uc544\uc8fc \uc544\uc8fc \ub9e4\uc6b0 \ub9e4\uc6b0 \ub9ce\ub2e4\uace0 \uc0dd\uac01\ub429\ub2c8\ub2e4. (\ubb3c\ub860 \uadf8\ub7f0 \uc0dd\uac01 \uc870\ucc28 \ubabb\ud558\ub294 \ubc14\ubcf4\ub4e4\uc740 \ube7c\uace0.) \ub098\ub294 \uaca8\uc6b0 \uc694\uae30 \uaebc\uc815 \ubc16\uc5d0 \ubabb\ud558\ub294\ub370, \uadf8\uac83\ub3c4 \uba87\ub0a0 \uba87\ub2ec \uba87\ub144 \uac78\ub824\uc11c. \uadfc\ub370 \uc5b4\ub5a4 \uc0ac\ub78c\ub4e4\uc740 \uadf8\uac83\ub3c4 \uba87 \ubc31\ub144\uc804\uc5d0 \uba38\ub9ac\uc5d0 \uc18c\ub625\ub3c4 \ubc97\uaca8\uc9c0\uae30\uc804\uc5d0(\uc80a\ub2e4\ub294 \ub73b) \uc5b4\ub9c8\uc5b4\ub9c8\ud55c \uac83\ub4e4\uc744 \ud574\ub0b4\uace0. \ub2e4\ub978 \ud559\ubb38\ub4e4\ub3c4 \uadf8\ub7f0 \uacbd\uc6b0\uac00 \uc788\uaca0\uc9c0\ub9cc \ud2b9\ud788 \uc218\ud559\uc740 \uadf8\ub7f0\uac8c \ub9ce\uc740 \ub4ef. \ubb3c\ub860 \ucc9c\uc7ac\ub4e4 \uae4c\uc9c0 \uac00\uc9c0 \uc54a\ub354\ub77c\ub3c4 \ub208\uc744 \ub4e4\uace0 \uc8fc\uc704\ub97c \ub458\ub7ec \ubcf4\uae30\ub9cc \ud558\uc5ec\ub3c4 \uadf8\ub7f0 \uc0ac\ub78c\ub4e4\uc740 \ub9ce\uc744 \uac70\uc57c\uc694. <\/p>\n<p> \ucd08\ub77c\ud574\uc9c8 \ub54c\uac00 \ub9ce\uaca0\uc9c0\ub9cc, \uadf8 \ubc18\ub300\ub85c \uadf8 \uc5b4\ub5a4 \uc990\uac70\uc6c0\uacfc\ub3c4 \ube44\uad50\uac00 \uc548\ub420 \ub9ce\ud07c \ud070 \uae30\uc068\uc744 \uc8fc\uae30\ub3c4 \ud558\uc8e0. \uace0\uc0dd \uace0\uc0dd\ud558\ub358 \ubb38\uc81c\ub97c \uba87\ub0a0 \uba87\uc77c \uba87\ub144 \uac78\ub824\uc11c \ud478\ub294 \uc21c\uac04\uc740 \uadf8\ub3d9\uc548 \ucd08\ub77c\ud574\uc84c\ub358 \ubd80\ubd84\uc744 \ubaa8\ub450 \ubcf4\uc0c1\ud574\uc8fc\uc8e0. \ubb3c\ub860 \ub0b4\uac00 \ud574\uacb0\ud55c \ubb38\uc81c\ub294 \ucc9c\uc7ac\ub4e4\uc774 \ud574\uacb0\ud55c \uadf8\ub7f0 \ubb38\uc81c\ub294 \uc804\ud600 \uc544\ub2c8\uc9c0\ub9cc \ub098\uc640 \uc624\ub7ac\ub3d9\uc548 \ub3d9\uac70\ub3d9\ub77d\ud55c \ubb38\uc81c\ub77c \ub0b4\uac8c\ub294 \uadf8\uac83\uc758 \ud574\uacb0\uc774 \ud070 \uae30\uc068\uc744 \uac00\uc838\ub2e4 \uc900\ub2e4\uace0 \ubcfc \uc218 \uc788\uc8e0. <\/p>\n<p> \uae00\uad6c, \ucabd \ud314\ub9b0\ub2e4\uace0 \uc0dd\uac01\ud560\uac70 \ud558\ub098\ub3c4 \uc5c6\uc5b4\uc694. \uc5ec\uae30 \uc6b0\ub9ac\ub4e4 \uc911\uc5d0\ub294 \uadf8\ub807\uac8c \ucc9c\uc7ac\ub3c4 \uc5c6\uace0 \uadf8\ub807\uac8c \ub3cc\ub3c4 \uc5c6\ub2e4\uace0 \ubd10\uc694. \ub2e4 \uadf8\ub9cc \uadf8\ub9cc \ud55c(\ubb3c\ub860 \ub098\ub3c4 \ud3ec\ud568\ud558\uc5ec) \ub3cc(?)\ub4e4\uc774\ub77c\uace0 \ubd10\uc694. \ub0b4\uac00 \ud2c0\ub838\uc73c\uba74 &#8220;\uc74c&#x2026; \ub610 \ud2c0\ub838\ub124&#8221; \ud574\ubc84\ub9ac\uace0 \ub610 \uc5f4\uc2ec\ud788 \uc0dd\uac01\ud558\uba74 \ub418\uc9c0\uba38&#x2026; \uc911\uc694\ud55c\uac74 \uc5bc\ub9c8\ub098 \uc5f4\uc2ec\ud788 \uc0dd\uac01\ud558\uace0 \ub178\ub825\ud558\ub294\uac00 \ub77c\uace0 \uc5ec\uaca8\uc9d1\ub2c8\ub2e4.(\ubb3c\ub860 \ub0b4 \uc0dd\uac01\uc5d0 \ub3d9\uac10 \uc548\ud558\uba74 \ub9d0\uad6c. \ub2e8\uc9c0 \ub098\ub294 \uc774\ub807\uac8c \uc0dd\uac01\ud55c\ub2e4\ub294 \uac70\uc57c\uc694.) <\/p>\n<p> \ubc8c\uc368 \ucd94\uc11d\uc774 \uc9c0\ub0ac\ub098? \uc74c&#x2026; <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc870\uae08 \uc774\uc0c1\ud55c \uc0dd\uac01\uac19\uae34 \ud558\uc9c0\ub9cc.. <\/p>\n<p> \uacb0\uad6d\uc740 \uc6b0\ub9ac\uac00 \uc0dd\uac01\ud558\ub294 \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc774 \uae30\ubcf8\uc801\uc73c\ub85c\ub294 \ubca1\ud130 \uacf5\uac04\uc758 \ub0b4\uc801\uc744 \uc0dd\uac01\ud558\ub2e4 \ubcf4\ub2c8\uae4c \ub098\uc654\ub2e4\uace0 \uc608\uc804\uc5d0 \uae00\uc744 \uc62c\ub838\uc8e0. \ub0b4\uc801\uc740 \uc5b8\uc81c\ub098 \uc591\uc218\uc774\ub2c8\uae4c \uae38\uc774\ub97c \uc790\uae30\uc790\uc2e0\ub07c\ub9ac\uc758 \ub0b4\uc801\uc73c\ub85c \uc0dd\uac01\ud558\uba74 \uc815\uc758\uac00 \ub418\uace0, \ud558\ubbc4 \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc774 \ub098\uc624\ub2c8\uae4c.. <\/p>\n<p> \uadfc\ub370\uc5ec \uac11\uc790\uae30 \uc0dd\uac01\uc744 \ud588\ub294\ub370. \ud639\uc2dc \ub0b4\uc801\uc73c\ub85c \uc0dd\uac01\ud558\uc9c0 \ub9d0\uace0 bilinear \ud615\uc2dd\uc744 \uc0dd\uac01\ud558\uba74 \uc5b4\ub5a8\uae4c \uc2f6\uac70\ub4e0\uc694. \uc774\uac74 \ub0b4\uc801\uc774 \uc77c\uc885\uc758 bilinear\uc758 \ud55c \ud615\ud0dc\ub85c \uc0dd\uac01\ub420 \uc218 \uc788\uae30 \ub54c\ubb38\uc774\uc9c0\uc694. \uadf8\ub2c8\uae4c \ubb34\uc2a8 \ub9d0\uc774\ub0d0 \ud558\uba74 <\/p>\n<p> (X,Y)=(X^T)A(Y) \uac00 bilinear\ub77c\uace0 \ud558\uba74(\uc30d\uc120\ud615(bilinear)\uc758 \uc815\uc758\ub294 \uc54c\uc544\uc11c \ucc3e\uc544\ubcf4\uc2dc\uae38..) \uc6b0\ub9ac\uac00 \ubcf4\ud1b5 \uc0dd\uac01\ud558\ub294 \ub0b4\uc801\uc774\ub780 \uac83\uc740 \uc0ac\uc2e4 \uc704\uc758 A\uac00 \ud56d\ub4f1\ud589\ub82c\uc77c \ub54c\uac70\ub4e0\uc694. \uadf8\ub7ec\ub2c8\uae4c \uadf8\ub7f0 \ud2b9\ubcc4\ud55c \uacbd\uc6b0\ub9cc \uc0dd\uac01\ud558\uc9c0 \ub9d0\uace0, \uc77c\ubc18\uc801\uc778 \uc704\uc758 \uc30d\uc120\ud615 \uc790\uccb4\ub97c \ub0b4\uc801 \ube44\uc2b7\ud558\uac8c \uc0dd\uac01\ud558\uba74.. (\ubb3c\ub860 \ub0b4\uc801 \ube44\uc2b7\ud558\uac8c \ud558\uae30 \uc704\ud574 A\ub294 positive definite\uc774\uc5ec\uc57c \ud558\uace0, \ub610 symmetric matrix\uc5ec\uc57c \ud558\uaca0\uc8e0?) <\/p>\n<p> \uae38\uc774 \ube44\uc2b7\ud55c \uac83\uc740 \uc704\uc758 \uc30d\uc120\ud615 \uc815\uc758\uc5d0\uc11c root(X,X)\ub85c \uc0dd\uac01\ud558\uba74 \ub418\uace0 \uadf8\ub7ec\uba74 \uacfc\uc5f0 \uadf8\ub7ec\ud55c \ube44\uc2a4\ubb34\ub9ac\ud55c \uacbd\uc6b0\uc5d0\uc11c\ub294 \ucf54\uc2dc \uc288\ubc14\ub974\uce20 \ube44\uc2a4\ubb34\ub9ac\ud558\uac8c \ubd80\ub4f1\uc2dd\uc744 \uc138\uc6b0\uba74 \uadf8\uac83\ub3c4 \ub9cc\uc871\ub418\uaca0\ub294\uac00? \uc0dd\uac01\ud574\ubcf4\uba74 \uc7bc\uc788\uc744 \uac70 \uac19\uc9c0 \uc54a\ub098\uc694? ^^; <\/p>\n<hr \/>\n<p> \uae40\uacbd\ucc2c\uc758 9\uc6d4 24\uc77c \ud30c\uc77c: <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; <\/p>\n<p>  \uc77c\uc804\uc5d0 \uae40\uc6c5\uc6a9\uc774 \uc62c\ub9b0 \ud30c\uc77c\uc744 \uc870\uae08 \uace0\uce5c file\uc785\ub2c8\ub2e4. link\ub294 <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course2\/complex_mean_ineq.ps\">http:\/\/elie.korea.ac.kr\/~ywkim\/course2\/complex_mean_ineq.ps<\/a> \uc640 <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course2\/complex_mean_ineq.pdf\">http:\/\/elie.korea.ac.kr\/~ywkim\/course2\/complex_mean_ineq.pdf<\/a> \uc785\ub2c8\ub2e4. \uadf8\ub7fc&#x2026; <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; [\uac04\uccad]\uc815\ubbfc\uc544 \uc0b0\ud3c9 \uae30\ud3c9 \uc218\ud559\uc801 \uadc0\ub0a9\ubc95 \uc62c\ub824\uc8fc\uac90\ub2c8 <\/p>\n<p> \uc815\ubbfc\uc774 \ub124\uac00 \uc218\ud559\uc801 \uadc0\ub0a9\ubc95 \uc73c\ub85c \uc99d\uba85 \uba4b\ub5a8\uc5b4\uc9c0\uac8c \ud55c \uac78 \uc606\uc5d0\uc11c \ubd24\ub2e4. \uac8c\uc2dc\ud310\uc5d0 \uacf5\uac1c\ud574\uc694~~ <\/p>\n<p> &#8221;&#8217;\uc9c0\uc815\ubbfc&#8221;&#8217; <\/p>\n<p> \uacbd\uc77c\uc774 \ud615^^ <\/p>\n<p> \ub2a6\uc5b4\uc838\uc11c \uc8c4\uc194\ud574\uc694^^ \uc81c\uac00 \uc9c0\uae08 \uace0\uc2dc\uc6d0\uc774\ub77c \ucef4\uc744 \uc4f8 \uae30\ud68c\uac00 \ub9ce\uc9c0 \uc54a\uc544\uc11c\uc5ec(\u314b\u314b\u314b\u314b \uad81\uc0c9\ud55c \ubcc0\uba85) \uc8c4\uc1a1\ud568\ub2e4 \uc694\ubc88\uc8fc \ub0b4\ub8e8\ub2e4\uac00 \uc62c\ub824 \ub193\uaca0\uc2b4\ub2e4. <\/p>\n<p> \uadfc\ub370 \uc544\uc774\ub514\uc5b4\ub9cc \ub300\ub7b5 \uc801\uc5b4\ubcf4\uba74, \uc81c\uac00 \ud588\ub358 \uac83\ub4e4\uc740 \ub2e4 \ud2c0\ub838\uad6c\uc5ec \u314b\u314b\u314b\u314b \uc544 \ubd80\ub4f1\uc2dd\uc740 \ub418\ub294 \uad6c\ub098 \uadf8 \ub54c \uad50\uc2dc\ub2d8\uc774 \ud480\uc5b4 \uc8fc\uc2e0\uac8c \ub531 \ub9de\ub4dc\ub77c\uace0\uc5ec&#x2026; \uadf8\ub0e5 \uac00\uc815\uc744 n=k-1\uc77c \ub54c \uae4c\uc9c0 \ubd80\ub4f1\uc2dd\uc774 \uc131\ub9bd\ud558\ub294 \uac70\ub791 \ub4f1\ud638 \uc870\uac74\uc744 a(1) \ubd80\ud130 a(k-1)\uc774 \ub2e4 \uac19\uc744 \ub54c\ub77c\uad6c \ud574\ubc84\ub9ac \uba74, n=-k \uc77c \ub54c \ubd80\ub4f1\uc2dd \uc99d\uba85\ud558\ub294 \uacfc\uc815\uc5d0 \uc544\ub9c8\ub3c4 \ubd80\ub4f1\uc2dd \uae30\ud638\uac00 \ub531 \ub450\ubc88 \ub098\uc628 \uac70 \uac19\uc740\ub370(?) ,\uadf8 \ub450 \uad70\ub370\uc5d0\uc11c \uac00\uc815\uc744 \uc774\uc6a9\ud574\uc11c \uc99d\uba80\ud558\ubbc4 \ubd80\ub4f1\uc2dd\uc774\ub791 \ub4f1\ud638 \uc870\uac74\uc774 \uac19\uc774 \ub2e4 \uc99d\uba85 \ub429\ub2c8\ub2f9 \uc554\ud2bc\uc9c0\uac04\uc5d0 \ub118 \ub2a6\uc5b4 \uc9c4\uac70 \uc8c4\uc1a1\ud558\uad6c\uc5ec \uc2a4\ucf04\uc744 \ud558\ub4e0 \uba40 \ud558\ub4e0 \ub2e4\uc2dc \ud55c\ubc88 \uc62c\ub9ac\uaca0\uc2b4\ub2c8\ub2e4 <\/p>\n<p> \uafb8\ubc85 (&#x2013;)(__) <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; (\uc81c\uc548) \uac04\ub2e8\ud55c BBS \uc218\uc2dd \uc0ac\uc6a9\ubc95 <\/p>\n<p> \ub2e4\uc74c \uae00\uc758 \ud30c\uc77c\uc785\ub2c8\ub2e4. <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/tex.ps\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/tex.ps<\/a> <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/tex.pdf\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/tex.pdf<\/a> <\/p>\n<p> \ube44\ube44\uc5d0\uc11c \uc218\uc2dd \uc4f0\uae30\uac00 \uc27d\uc9c0 \uc54a\uc8e0 \uac04\ub2e8\ud55c \ubc29\ubc95\uc740 \ucef4 \ud504\ub85c\uadf8\ub7a8\uc5b8\uc5b4\uc758 \uae30\ud638\ub098, \uc544\ub798\uc544\ud55c\uae00, TeX\uc758 \uae30\ud638\ub97c \uc4f0\ub294 \uac83\uc785\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \uc26c\uc6b4 \uae30\ud638\ub4e4\uc740 \ubaa8\ub450 \ube44\uc2b7\ud558\uc9c0\uc694. \uacf1\uc148\uc740 * \uc9c0\uc218\ub294 ^ \ub4f1\uc744 \uc501\ub2c8\ub2e4. <\/p>\n<p> xy = x*y, e^x \ub294 \uc9c0\uc218\ud568\uc218, sin x \ub098 sin x \ub294 \ubaa8\ub450 \uc0ac\uc778 \ud568\uc218 \ubd84\uc218\ub294 {a} over {b} (\ud558\uc548\uae00 \ubc29\ubc95)\uc774\ub098, frac{a}{b} (TeX \ubc29\ubc95)\uc744 \uc4f0\uba74 \ub418\uaca0\uc8e0. <\/p>\n<p> TeX\uc740 \uc870\ud310\uc6a9\uc774\uae30 \ub54c\ubb38\uc5d0 \ud2b9\uc218\uae30\ud638\ub294 \ubaa8\ub450 \uc55e\uc5d0 backslash= \ub97c \ubd99\uc5ec\uc11c \uc501\ub2c8\ub2e4. \uac04\ub2e8\ud55c \uae30\ud638\ub4e4\uc740 \ub2e4\uc74c\uacfc \uac08\uc2b5\ub2c8\ub2e4. \uadf8 \uae30\ud638\uac00 \ubb34\uc2a8 \ub73b\uc778\uac00\ub294 \uac70\uc758 \ub300\ubd80\ubd84 \uadf8\ub0e5 \uc54c \uc218 \uc788\uc9c0\uc694. <\/p>\n<p> TeX\uc740 \uc218\uc2dd\uc744 \ub450 \uac1c\uc758 $ \uae30\ud638 \uc0ac\uc774\uc5d0 \ub461\ub2c8\ub2e4. \ub530\ub77c\uc11c $ &#x2026;.. $ \uc640 \uac19\uc774 \ub098\ud0c0\ub0b4\uc5b4 \uadf8 \uc0ac\uc774\uc758 \uac83\uc740 \uc218\uc2dd\uc774\ub77c\ub294 \uac83\uc744 \ub098\ud0c0\ub0b4\uc9c0\ub9cc \uc6b0\ub9ac\ub294 \uad73\uc774 \uadf8\ub807\uac8c \ud558\uc9c0 \uc54a\uc544\ub3c4 \ub429\ub2c8\ub2e4. (\ub2e8\uc9c0 \uc774 \uac83\uc744 \uc81c\ub300\ub85c \ud574 \ub450\uba74 \ub098\uc911\uc5d0 \ub530\ub85c \uc190 \ubcf4\uc9c0 \uc54a\uace0\ub3c4 \ubc14\ub85c \uc608\uc05c \uc218\uc2dd\uc73c\ub85c \ubc14\uafc0 \uc218\uac00 \uc788\uc8e0. \uc774\uac74 \ub098\uc911\uc5d0 \uc0dd\uac01\ud560 \uc810\uc774\uc8e0.) <\/p>\n<p> TeX\uc758 \uac04\ub2e8\ud55c \uc608\ub4e4 <\/p>\n<p> x^{2y} , x_1, x_2, .. frac{1}{x} = 1\/x sqrt{ x^2 + y^2 } 1 + 2 + cdots + n = frac{ n (n+1) }{2} x&gt;2, x geq 2, x leq 2, x&lt;2, x neq 2, x not= 2 (program language\uc5d0\uc11c\ub294 x&gt;=2 \uc640 \uac08\uc774 \uc4f0\uc9c0\uc694) int_a^b f'(x) dx = f(b) &#8211; f(a) sum_{n=1}^{infty} a_n <\/p>\n<p> \ub4f1\uc73c\ub85c \uc4f0\uba74 \ub429\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \ucf54\uc2dc\ubd80\ub4f1\uc2dd\uc740 <\/p>\n<p> ( sum_{k=1}^{n} a_k^2 ) ( sum_{k=1}^{n} b_k^2 ) geq ( sum_{k=1}^{n} a_k b_k )^2 <\/p>\n<p> \uc785\ub2c8\ub2e4. \uc774\uac74 \uc870\uae08 \ubcf4\uae30 \ud798\ub4e4\uc9c0\ub9cc TeX \ud504\ub85c\uadf8\ub7a8(\uc608\ub97c \ub4e4\uba74 MikTeX)\uc744 \uc368\uc11c \uae08\ubc29 \ubcf4\uae30 \uc88b\uc740 \ubaa8\uc591\uc73c\ub85c \ubc14\uafc0 \uc218 \uc788\uc8e0. \uc775\uc219\ud574\uc9c0\uba74 \uc704\uc758 \uae30\ud638\ub9cc \ubcf4\uace0\ub3c4 \uae08\ubc29 \uc218\uc2dd\uc744 \uc368 \ub0bc \uc218 \uc788\uc5b4\uc694. <\/p>\n<p> \uadf8\ub7fc \ub098\ub984\ub300\ub85c \uc218\uc2dd\uc744 \uc804\ud558\ub294 \ubc29\ubc95\uc744 \uac1c\ubc1c\ud574 \ubd05\uc2dc\ub2e4. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\ucd5c\uc7ac\ud76c&#8221;&#8217; [\uc7a1\ub2f4]\uc218\uc2dd \uc4f0\uae30 \ub118 \uc5b4\ub824\uc6cc\uc694 \u3160.\u315c <\/p>\n<p> \ud750\ud750\ud751&#x2026;\uc624\ub298 \ud30c\uc77c \ub2e4 \ub9cc\ub4e4\uc5b4\uc11c \uc62c\ub9ac\ub824\ub294 \uad73\uc740 \uacb0\uc2ec\uc774 \uc870\uae08\uc529 \ubb34\ub108\uc9c0\ub824 \ud569\ub2c8\ub2e4.. \uae08\ubc29 \ud560 \uc218 \uc788\uc744\uc904 \uc54c\uc558\ub294\ub370..\uc0dd\uac01\ub9cc\ud07c \uc27d\uc9c0 \uc54a\ub124\uc694 \uc548\ud558\ub358\uac78 \ud558\ub824 \ud574\uc11c \uadf8\ub7f0\uac00\ubd10\uc694..\ud3c9\uc18c\ub54c \uc5f0\uc2b5\ud574\ub458\uaec4 \uadf8\ub7ac\ub098\ubd10\uc694&#x2026; \uc624\ub298\ucbe4 \uc62c\ub9ac\ub824 \ud588\ub294\ub370..\ub2a6\uc5b4\uc9c8\uac83 \uac19\uc2b5\ub2c8\ub2e4. \uc800\ubc88\uc5d0 \uac15\uc601 \uc624\ube60 \ub2e4 \ud574\uc11c \uc62c\ub9ac\uc2e0\uac70 \ub118 \uc874\uacbd\uc2a4\ub7ec\uc6cc\uc694~ <\/p>\n<p> \ucc38..\uc885\ud601\uc624\ube60 \uc624\ube60\uac00 \ucf54\uc2dc\uc288\ubc14\ub974\uce20 \uadc0\ub0a9\ubc95\uc73c\ub85c \uc99d\uba85\ud558\uc2e0\uac70 \ubabb\ubc1b\uc544\uc801\uc5c8\uac70\ub4e0\uc694.. \uadf8\uac83\ub3c4 \uc62c\ub824\uc57c\ud558\ub294\ub370..\ub0b4\uc77c \ud559\uad50\uc5d0\uc11c \ub9cc\ub098\uba74 \uaf2d \uc8fc\uc138\uc694~ <\/p>\n<p> \ud5c8\uac71..\uc790\ub8cc \uc5b4\ub5bb\uac8c \uc62c\ub824\uc57c \ud560\uc9c0 \ubaa8\ub974\uaca0\uc2b5\ub2c8\ub2e4..\u3160.\u315c \uc6b0\uc120 \uc218\uc5c5\uc2dc\uac04\uc5d0 \ub098\uc654\ub358 \ub0b4\uc6a9\uc744 \ud06c\uac8c \uc694\uc57d\ub294\ub370\uc694.. \uc774\ub7f0&#x2026;\uac08\uc218\ub85d \ud0dc\uc0b0\uc774\ub124\uc694.. \uc790\ub8cc\ub97c \uc62c\ub9ac\ub7ec \uc654\ub294\ub370&#x2026;\ubabb\uc62c\ub9ac\uace0 \uac11\ub2c8\ub2e4..\u3160.\u315c <\/p>\n<hr \/>\n<p> \ucd5c\uc7ac\ud76c \uc694\uc57d\ud30c\uc77c: <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course2\/choijaehee_1001.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course2\/choijaehee_1001.hwp<\/a> <\/p>\n<hr \/>\n<p> [\ud30c\uc77c] \uc7a5\uc0c1\uc6b4\uc758 \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd(\uc801\ubd84\ud615\ud0dc): <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course2\/cauchy_int_jangsw.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course2\/cauchy_int_jangsw.hwp<\/a> <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; <\/p>\n<p> \ud30c\uc77c\uc758 \uc2dd 1\uc5d0\uc11c \ub458\uc9f8 \ubd80\ub4f1\uc2dd\uc774 \uc0b0\ud3c9-\uae30\ud3c9 \ubd80\ub4f1\uc2dd\uc774\ub77c\uad6c \ud588\ub294\ub370, \uadf8 \uc2dd\uc758 \uccab\uc9f8 \ubd80\ub4f1\uc2dd\ub450 \uc0b0\ud3c9-\uae30\ud3c9 \ubd80\ub4f1\uc2dd\uc774\ub124\uc694.^^ <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; <\/p>\n<p> \ub9c8\uc9c0\ub9c9\uc5d0 calculus\ub85c \uc99d\uba85\ud558\uc2e0 \uac83. \uc0b0\ud3c9\uae30\ud3c9 \ubd80\ubd84\uc758 \ubd80\ub4f1\ud638\uac00 \ubc18\ub300\ub85c \ub418\uc5c8\ub124\uc694 <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \ub4f1\ud638\uc758 \uacbd\uc6b0\uc5d0 \uc788\uc5b4\uc11c&#x2026; <\/p>\n<p> \ub4f1\ud638\uc758 \uacbd\uc6b0 \uc880\ub354 \uc5c4\ubc00\ud788 \ub9d0\ud558\uba74 &#8220;\ubaa8\ub4e0 x\uc5d0 \ub300\ud558\uc5ec f(x)=g(x)&#8221; \uc77c \ud544\uc694\ub294 \uc5c6\uc744\uac83 \uac19\uc740\ub370&#x2026;. \uc5b4\ub5a4 \ud568\uc218\uc758 \uc81c\uacf1\uc758 \uc801\ubd84\uc774 \uc601\uc774\ub77c\uace0 \ud574\uc11c \ud568\uc218\uac00 \uc601\uc77c \ud544\uc694\ub294 \uc5c6\uc9c0 \uc54a\ub098\uc694&#x2026; <\/p>\n<p> \ucc38 \uadf8\ub9ac\uace0 \uc544\ub798\uc11c \uc6c5\uc6a9\uc774 \uc774\uc57c\uae30 \ucc98\ub7fc (1)\ubc88\uc2dd\uc758 \ub458\uc9f8 \ubd80\ub4f1\ud638\uac00 \ubc14\ub00c\uc5c8\ub124&#x2026; \uadf8\ub798\uc11c \ub9c8\uc9c0\ub9c9\uc5d0 \uc774\uc57c\uae30\ud55c \uac83\uacfc \uac19\uc740 \ubc29\ubc95\uc744 \uc368\uc57c\uc9c0 \uc54a\uc744\uae4c&#x2026; &#8220;(\uc0ac\uc2e4 {f-kg}^{2}\uc744 \uc774\uc6a9\ud558\uba74 \uc815\ud655\ud788 \ub611\uac19\uc740 \uacb0\uacfc\ub97c \uc5bb\ub294\ub2e4.)&#8221; \ub77c\uace0 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0 \uc50c\uc5ec\uc838\uc788\ub294\ub370&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; <\/p>\n<p> \uc74c \uadf8\ub7f0 \ubcf5\ubcd1\uc774 \uc228\uc5b4\uc788\ub124\uc5ec. \ud53c\ud574\uac08 \ubc29\ubc95\ub3c4 \uc788\uc744\ud150\ub370&#x2026; <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uc885\ud601&#8221;&#8217;  [\uc7a1\ub2f4]\uc5d0\uad6c..\uc880\uc788\uc74c \uc12d\uc2dc\uac04\uc778\ub370&#x2026; <\/p>\n<p> \uc62c\ub9cc\uc5d0 \ub4e4\uc5b4\uc640\uc11c \ubcf4\ub2c8\uae4c \ub9ce\uc740 \uae00\ub4e4\uc774 \uc62c\ub77c\uc640\uc788\ub124\uc5ec.. \uc880 \uc788\uc74c \uc218\uc5c5\uc778\ub370 \uac71\uc815\ub3c4 \ub418\uace0 \uac00\uc11c \ubb34\uc2a8 \uc598\uae30\ub97c \ud574\uc57c \ub418\ub098\ud574\uc11c \uc7a0\uae50 \ub4e4\uc5b4\uc654\ub2e4 \ud754\uc801 \ub0a8\uae41\ub2c8\ub2e4.. <\/p>\n<p> \uadf8\ub7fc \uc624\ub298\ub3c4 \uc990\uac74 \uc218\uc5c5\uc774 \ub418\uae30\ub97c&#x2026; \ub298 \ud55c\ubc88\uc740 \ubc1c\ud45c\ud574\uc57c\ub41c\ub2e4\ub294 \ubd80\ub2f4\uac10\uc744 \uac00\uc9c0\uace0&#x2026;-.-;;; <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uac15\uc601&#8221;&#8217; \uc74c..\uc218\uc5c5\uc2dc\uac04\uc5d0 \uc598\uae30\ubabb\ud55c.. <\/p>\n<p> \uc74c.\uc800\ubc88\uc8fc\ubd80\ud130 \uc0dd\uac01\ud574\ubcf8\uac70\uae34 \ud55c\ub370.. \uacfc\uc5f0 \uc774\uac83\uc774 \uc5b4\ub5a4 \uc758\ubbf8\uac00 \uc788\uc744\uae4c\ud558\ub294 \uc0dd\uac01\uc774 \ub108\ubb34 \ud06c\uac8c \ub4e4\uc5b4..\uc6a9\uae30\ub450 \uc5c6\uad6c..\uad1c\ud788 \ubd84\uc704\uae30\ub9cc \uc5c4\ud574\uc9c8\uae4c \ud558\uc5ec \uaebc\ub0b4\uc9c0 \ubabb\ud588\ub358 \uac74\ub370&#x2026; \uc624\ub110 \uad6c\uad50\uc218\ub2d8\uc758 \uc9c8\ucc45+\uaca9\ub824\uc5d0 \uc790\uadf9\uc744 \ubc1b\uace0 \uc9c0\ub098\uac00\ub294 \uae38\uc5d0 \ub044\uc801\uc5ec\ubd05\ub2c8\ub2e4&#x2026; \ub2e4\uc2dc\ud55c\ubc88 \ub9d0\ud558\uc9c0\ub9cc..\uc544\ubb34\uc758\ubbf8\uc5c6\ub294 \ub0b4\uc6a9\uc774\ub2c8\uae4c \uac4d \uc2ec\uc2ec\ud480\uc774\ub85c&#x2026;.. <\/p>\n<p> (ax + by)^2 &lt;= (a^2 + b^2)(x^2 + y^2) \uc774\uc2dd\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uc368\ub3c4 \ubb34\ubc29\ud558\ub2e4. (ay + bx)^2 &lt;= (a^2 + b^2)(y^2 + x^2) &#x2026; \uadf8\ub807\ub2e4\uba74&#x2026; (ax + by)^2 \uacfc (ay + bx)^2\uc758 \uad00\uacc4\ub294?? <\/p>\n<p> \uac4d \uc774\ub807\uac8c \uc815\ub9ac\ud574\ubcf8\ub2e4\uba74&#x2026; (ax + by)^2 &#8211; (ay + bx)^2 &gt;= 0 \uc77c\uc870\uac74\uc774\ub098 \ucc3e\uc544\ubcf4\uc790.. <\/p>\n<p> \uc815\ub9ac\ud574\ubcf4\uace0, \uc778\uc218\ubd84\ud574\ud558\uba74 (a+b)(a-b)(x+y)(x-y) &gt;= 0 <\/p>\n<p> \uc989, a&gt;b &amp;&amp; x&gt;y&#x2026; equality : a=b | x=y <\/p>\n<p> \uc774\uc815\ub3c4 \uc0dd\uac01\ud574\ubcf4\uad6c&#x2026; (A1B1+ &#x2026; + A1Bn)^2 &lt;= (A1^2 + &#x2026; An^2)(B1^2 + &#x2026; + Bn^2)\uc5ed\uc2dc \ub2e4\uc591\ud55c \uc870\ud569\uc73c\ub85c \uc774\ub8e8\uc5b4 \uc9c8\ud150\ub370.. \uadf8\uad00\uacc4\ub294 \uc5b4\ub5a8\uae4c \ud558\ub294 \uac83\uc5d0 \ub300\ud574 \uc0dd\uac01\ud574\ubcf4\ub2e4&#x2026; \ub118\uc5b4\ub824\uc6cc\uc11c&#x2026; <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \ud760, \uadf8\uac70 \uc7bc\uc788\ub124. <\/p>\n<p> \ud760, \uadf8\uac70 \uc7bc\uc788\ub124. \ub450\uac1c \uc9dc\ub9ac \uac00 \ub418\uc5c8\uc73c\ub2c8 \uc138\uac1c \uc9dc\ub9ac\ub294 \uc5b4\ub5bb\uac8c \ub420\ub7f0\uc9c0&#x2026; \uc778\uc218\ubd84\ud574\uac00 \uc798 \ub420\ub77c\ub098&#x2026; \uc5b4\uca13\ub358 \uc7ac\ubbf8\uc788\ub294 \ubb38\uc81c\uc774\ub124. <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc815\ub9d0 \uc7bc\uc788\ub139&#x2026; <\/p>\n<p> \ub450 \uac1c\uc9dc\ub9ac \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc5d0\uc11c (ax+by)^2\uc744 (ax+yb)^2\uc73c\ub85c \ubc14\uafb8\uc5b4 \uc0dd\uac01\ud55c \uac74 \uc815\ub9d0 \uc7bc\uc788\ub2f9.. \uacb0\uad6d (a^2+y^2)(x^2+b^2)\uacfc (a^2+b^2)(x^2+y^2)\uc740 \ud06c\uae30\ub294 \ub2e4\ub974\uaca0\uc9c0\ub9cc \uc5b4\ub5a4 \ub611\uac19\uc740 \uac12\ubcf4\ub2e4 \uc791\ub2e4\ub294 \uacb0\ub860\uc774 \ub098\uc624\ub294\uad6c\ub9cc \uc774\ub97c\ud14c\uba74 3&lt;=5 \uc774\uace0 2&lt;=5 \uc77c\ub54c 3\uacfc 2\uc758 \uad00\uacc4\uac00 \uc5b4\ub5a8\uae4c.. \ub97c \uc0dd\uac01\ud558\ub294 \ubb38\uc81c\ucc98\ub7fc \ub418\uc5b4\ubc84\ub9ac\ub294\ub370 <\/p>\n<p> \uc5b4\uca0c\ub4e0 3\uc774\ub4e0 2\ub4e0 \uacc4\uc0b0\uacb0\uacfc\ub294 \uc22b\uc790\uac00 \ub420\ud14c\ub2c8 \ubd84\uba85 bounded\ub41c \uac83\uc740 \ub2f9\uc5f0\ud558\uace0 \uadf8 bounded \uc911 \ud558\ub098\uac00 5\uac00 \ub41c\ub2e4\ub294 \uac74\ub370 \ub2f9\uc5f0\ud788 3\uacfc 2\ub97c \ube44\uad50\ud558\uba74 \uac19\uac70\ub098 \ub458 \uc911 \uc5b4\ub290\uac83\uc774 \ud06c\uaca0\uc9c0 <\/p>\n<p> \ub450 \uac1c \uc9dc\ub9ac\uc758 \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc5d0\uc11c \uc6b0\ubcc0\uc774, \uc0dd\uc131\ub41c \ub450 \uac1c\uc758 \uc88c\ubcc0\uc758 \uc0c1\uacc4(upper bound)\uac00 \ub418\uace0, \uc6b0\ubcc0\uc5d0 -\ub97c \ubd99\uc778 \uac83\uc774 \ud558\uacc4(lower bound)\uac00 \ub418\ub294 \uac00\uc6b4\ub370 \uc0dd\uc131\ub41c \ub450 \uac1c\uc758 \uc88c\ubcc0\uc758 \ud06c\uae30\ub9c8\uc800 \ube44\uad50\ud574 \ubc84\ub9b0\ub2e4\uba74 \uc6b0\ubcc0\uacfc \uc0dd\uc131\ub41c \ub450 \uc88c\ubcc0\uc758 \ud06c\uae30 \uc21c\uc11c\uac00 \uc8fc\ub8e8\ub8e9 \ubc30\uc5f4\ub418\ub294 \uc148\uc774\ub139.. <\/p>\n<p> 2\uac1c\uc9dc\ub9ac \ubfd0\ub9cc \uc544\ub2c8\ub77c \uc784\uc758\uc758 n\uac1c\uc9dc\ub9ac\uc5d0\uc11c\ub3c4 \uc0dd\uc131\ub420 \uc218 \uc788\ub294 \ubaa8\ub4e0 \uc88c\ubcc0\uac04 \uad00\uacc4\uac00 \uc774\ub807\uac8c \uc8fc\ub8e8\ub8e9 \ubc30\uc5f4\ub418\uc5b4 \ubc84\ub9b0\ub2e4\uba74.. <\/p>\n<p> \uc73c\ud760.. \uc774\uac74 \uc815\ub9d0 \uc7bc\uc788\ub294 \ubb38\uc81c\uac00 \uc544\ub2d0 \uc218 \uc5c6\ub294\uac78&#x2026; <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \ubb38\uc81c\ub97c \uc774\ub807\uac8c \ubcfc\uc218\ub3c4&#x2026; <\/p>\n<p> \uac15\uc601\uc774\uc758 \uae00\uc5d0\uc11c \ubcf4\uba74, <\/p>\n<p> &#8220;&#8221;\uadf8\ub807\ub2e4\uba74&#x2026; (ax + by)^2 \uacfc (ay + bx)^2\uc758 \uad00\uacc4\ub294?? <\/p>\n<p> \uac4d \uc774\ub807\uac8c \uc815\ub9ac\ud574\ubcf8\ub2e4\uba74&#x2026; (ax + by)^2 &#8211; (ay + bx)^2 &gt;= 0 \uc77c\uc870\uac74\uc774\ub098 \ucc3e\uc544\ubcf4\uc790 &#8220;&#8221; <\/p>\n<p> \ub77c\uace0 \ub418\uc5b4 \uc788\uace0 \uadf8\ub2e4\uc74c\uc740 \uc774\ub97c \ud574\uacb0\ud55c \uac83\uac19\uc740\ub370&#x2026;. \uc774 \ubb38\uc81c\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc0dd\uac01\ud560 \uc218\ub3c4 \uc788\uc744 \uac83\uac19\uc740\ub370&#x2026; <\/p>\n<p> &#8220;&#8221; (ax + by) &gt; (ay + bx) \uc77c\uc870\uac74\uc774\ub098 \ucc3e\uc544\ubcf4\uc790 &#8220;&#8221; <\/p>\n<p> \uadf8\ub7ec\uba74 n\uac1c \ud56d\uc774 \uc788\uc744 \ub54c \ud639\uc740 \ub450\uac1c\uc740 \uc218\uc5f4 {a_n} \uacfc {x_n}\uc774 \uc788\uc744 \ub54c, \ubb38\uc81c\uac00 \uc815\ud655\ud788 \uc5b4\ub5bb\uac8c \ub418\ub294\uc9c0&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \uc74c \uc774\ub7f0 \uc0dd\uac01\ub3c4 \ud558\ub294\uad70\uc694^^ <\/p>\n<p> \uac15\uc601\uc774\uac00 \uc544\uc8fc \uc7ac\ubbf8\uc788\ub294 \uc0dd\uac01\uc744 \ud588\uad70\uc694. \ud639\uc2dc \uc5b4\ub5a4 \uc0dd\uac01 \ub05d\uc5d0 \uc5ec\uae30\uc5d0 \uc624\uac8c \ub410\ub294\uc9c0 \uc124\uba85\ud574 \uc904 \uc218 \uc788\uc73c\uba74 \ubaa8\ub450\uc5d0\uac8c \ud070 \ub3c4\uc6c0\uc774 \ub418\ub9ac\ub77c\uace0 \uc0dd\uac01\uc774 \ub418\ub294\ub370&#x2026; <\/p>\n<p> \uc5b4\uca0c\ub4e0 \uc774 \ubb38\uc81c\ub294 <\/p>\n<p> a_1 &gt;= a_2 &gt;= &#x2026; &gt;= a_n &gt;= 0 <\/p>\n<p> b_1 &gt;= b_2 &gt;= &#x2026; &gt;= b_n &gt;= 0 <\/p>\n<p> \uc774\uace0, t\ub294 1, 2, &#x2026;, n \uc758 \uc21c\uc5f4(permutation)\uc77c \ub54c, <\/p>\n<p> a_1 b_{t(1)} + &#x2026; + a_n b_{t(n)} <\/p>\n<p> \uc758 \ucd5c\ub300 \ucd5c\uc18c\uac12\uc744 \uc8fc\ub294 t\ub97c \ucc3e\uc544\ub77c \ud558\ub294 \ubb38\uc81c\uac00 \ub418\ub294\ub370, \uc0ac\uc2e4 \uc544\uc8fc \uc720\uba85\ud55c \ubd80\ub4f1\uc2dd \ubb38\uc81c\ub78d\ub2c8\ub2e4. <\/p>\n<p> \uac70\uc758 \ub2e4 \ud480\ub9b0 \uac83 \uac19\uc740\ub370 \ube68\ub9ac \ub2f5\uc744 \ucc3e\uc544\uc11c \uc62c\ub824\uc8fc\uba74 \uc88b\uaca0\ub124\uc694. \uadf8\ub7fc \ub2e4\ub978 \uc0ac\ub78c\ub4e4\uc740 \uc774 \uacb0\uacfc\ub97c \uc5b4\ub514\ub2e4 \uc4f8 \uc218 \uc788\uc744\uae4c\ub97c \uc0dd\uac01\ud574\ubcf4\uba74 \uc88b\uaca0\ub124\uc694. \ub610 \uc5b4\ub5a4 \uc0ac\ub78c\uc740 \uc774 \uacb0\uacfc\ub97c \ubca1\ud130\ub85c \ud574\uc11d\ud574\ubcf4\uba74 \uc5b4\ub5a8\uae4c\ub3c4 \ud558\ub124\uc694 <\/p>\n<p> &#8221;&#8217;\ucd5c\uc7ac\ud76c&#8221;&#8217; [\uc9c8\ubb38]\ubb38\uc81c\ub97c \uc774\ub807\uac8c \ubcfc\uc218\ub3c4&#x2026; <\/p>\n<p> \uc704\uc758 \uc2dd\uc744 n\uac1c \ud56d\uc774 \uc788\uc744\ub54c\ub85c \uc0dd\uac01\ud558\uba74 <\/p>\n<p> (a_1x_1+&#8221;&#8217;a_nx_n)&gt;(a_nx_n+&#8221;&#8217;+a_1x_1) \uc73c\ub85c \uc0dd\uac01\ud574\uc57c\ud558\ub294\uac74\uc9c0 \uc544\ub2c8\uba74 \uc5ec\ub7ec\uac00\uc9c0\uc758 \uc870\ud569\uc758 \uacbd\uc6b0\ub85c \uc0dd\uac01\ud574\uc57c \ud558\ub294\uc9c0\ub97c \ubaa8\ub974\uac9f\ub294\ub370\uc694.. <\/p>\n<p> \uc5ec\ub7ec\uac00\uc9c0 \uc870\ud569\uc758 \uacbd\uc6b0\ub85c \uc6b0\uc120 \uc0dd\uac01\ud574\ubd24\ub294\ub370\uc694 <\/p>\n<p> {a_n} {x_n}\uc774 \uc5b4\ub5a4 \ud615\ud0dc\ub85c \uc870\ud569\uc774 \ub418\uc5b4\uc788\uc5b4\ub3c4 <\/p>\n<p> a_1&gt;a_2&gt;&#8221;&#8217;&gt;a_n&gt;0 <\/p>\n<p> x_1&gt;x_2&gt;&#8221;&#8217;&gt;x_n&gt;0 <\/p>\n<p> \uc77c\ub54c\ub9cc \uc800 \uc704\uc758 \ubd80\ub4f1\uc2dd\uc774 \uc131\ub9bd\ub41c\ub2e4\uace0 \uc0dd\uac01\ud558\uac70\ub4e0\uc694 <\/p>\n<p> \uc81c \uc0dd\uac01\uc744 \ud45c\ud604\ud558\uae30\uac00 \ud798\ub4e0\ub370\uc694&#x2026; <\/p>\n<p> \ud79d~ \uc6d4\uc694\uc77c\uae4c\uc9c0 \ub354 \uc0dd\uac01\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.. <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \ud480\uc774\ub294? <\/p>\n<p> \ubb38\uc81c\ub97c \uc815\ud655\ud558\uac8c \ubcf8\uac70 \uac19\uc740\ub370, \uc99d\uba85\uc740 \uc5b4\ub5bb\uac8c \ub420\uae4c\uc694&#x2026; <\/p>\n<p> &#8221;&#8217;\ucd5c\uc7ac\ud76c&#8221;&#8217; <\/p>\n<p> \uc99d\uba85\uc740\uc694..induction \uc744 \uc368\uc11c \ud574\ubcf4\uc558\ub294\ub370\uc694..  a_1&gt;a_2&gt;&#8221;&#8217;&gt;a_n&gt;0 <\/p>\n<p> x_1&gt;x_2&gt;&#8221;&#8217;&gt;x_n&gt;0\uc774\uba74 <\/p>\n<p> (a_1x_1 + &#8221;&#8217;+ a_nx_n)^2 &gt; (a_1x_{t1}+ &#8221;&#8217;+a_n x_{tn})^2 \uc774\ub2e4.. <\/p>\n<p> \uc6b0\uc120 n=2 \uc778 \uacbd\uc6b0 (a_1x_1 + a_2x_2)^2 &gt; (a_1x_2 + a_2x_1)^2 \uc774 \uacbd\uc6b0\ub294 \uc704\uc5d0 \uac15\uc601\uc774 \uc624\ube60\uac00 \uc99d\uba85\uc744 \ud55c\uac83\uacfc \uac19\uad6c\uc694.. <\/p>\n<p> n n=k+1 \uc77c\ub54c <\/p>\n<p> (a_1x_1+&#8221;&#8217;<del>a_kx_k+a_(k+1)x_(k+1))^2-(a_1x_1<\/del>&#8221;&#8217;<del>a_kx_(k+1)+a_(k+1)x_k)^2 \uc5d0\uc11c a_1x_1<\/del>&#8221;&#8217;+a_(k-1)x_(k-1) \uc740 A\ub85c \uc0dd\uac01\ud558\uace0 n=k-1 \uc77c\ub54c\ub294 \ucc38\uc774\ub77c \uac00\uc815\ud588\uc73c\ubbc0\ub85c (A+a_kx_k+a_(k+1)x_(k+1))^2-(A+a_kx_(k+1)+a_(k+1)x_k)^2 =(x_k &#8211; x_k+1)(a_k &#8211; a_k+1)(2A+(x_k+x_k+1)(a_k+a_k+1)&gt;0 if a_k&gt;a_(k+1),x_k&gt;x_(k+1) <\/p>\n<p> \uc774\uac83\uc774 n!\uac00\uc9c0\uc758 \uc21c\uc5f4\uc758 \uacbd\uc6b0\uc5d0 \ub300\ud574 \uace0\ub824\ud574\uc57c \ud558\ub2c8\uae4c n!\uac00\uc9c0\uc758 \uacbd\uc6b0\uc5d0 \ub300\ud574\uc11c t: {1,2,&#8221;&#8217;n}-&gt;{1,2,&#8221;&#8217;n} distinct permatation \uc778\ub370 \uc774\ub54c x_(t1)&gt;&#8221;&#8217;&gt;x_(tn) \uc774\ub2e4 \ub77c\uace0 \ubcf4\ub294\uac83\uc774 \ub354\uc6b1 \uc815\ud655\ud560\uae4c\uc694? <\/p>\n<p> &#8221;&#8217;\ucd5c\uc7ac\ud76c&#8221;&#8217; \uc6b0\uc544\uc559~ \u3160.\u315c <\/p>\n<p> \uc774\uac70 \ud574\ub193\uad6c\uc120 \ucc1c\ucc1c\ud574\uc11c \uacc4\uc18d \uc0dd\uac01\ud574\ubd24\ub294\ub370 \uc800 \uc99d\uba85 \ud2c0\ub9b0\uac83 \uac19\ub124\uc694..\u3160.\u315c <\/p>\n<p> \uc81c \uc99d\uba85\uc740 \uc800\uac8c n\uac1c\uc77c\ub54c 2\uac1c \ub07c\ub9ac\ub9cc \ubc14\uafb8\ub294\uac83\uc744 \uc99d\uba85\ud55c\uac83 \uac19\ub124\uc694..n\uac1c\uc758 x_i \uac00 \ubaa8\ub450 \uc790\ub9ac\ub97c \ubc14\uafb8\uba74 \ub354\uc6b1 \ubcf5\uc7a1\ud574\uc9c0\ub294\uac78 \uc800 \uc99d\uba85\uc774 \ucee4\ubc84\ubabb\ud558\ub294\ub4ef \uc2f6\uc5b4\uc694 <\/p>\n<p> 3\uac1c\uc9dc\ub9ac\uc77c\ub54c \ub41c\uac83 \uac19\uc740\ub370..\uc774\uc0c1\ud574\uc694&#x2026;. <\/p>\n<p> \ub2e4\uc2dc\ud574\ubd10\uc57c\uaca0\uc2b5\ub2c8\ub2e4.. \uc6c5..\ucc59\ud53c\ud574..\u3160.\u315c <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; (Formal chat) \uc990\ud1b5~~ <\/p>\n<p> Chat\uc774\ub77c\ub294 \ub9d0\uc740 informal conversation\uc774\ub780 \ub9d0\ub85c \ud480\uc774\ub429\ub2c8\ub2e4. Formal chat\uc774\ub780 \ub9d0\uc740 paradoxical \ud558\uc9c0\uc694? \ub610 \uc774\ub807\uac8c \uc81c\uac00 paradoxical \ud558\ub2e4\uba74\uc11c \uad49\uc7a5\ud788 \uac74\ubc29\ub5a0\ub294 \uac83 \uac19\uc9c0\uc694? <\/p>\n<p> \uc0ac\uc2e4 \uc800\ub294 \uad49\uc7a5\ud788 \ucef4\ud4e8\ud130\uc0c1\uc758 chatting\uc5d0 \ub9ce\uc740 \uac70\ubd80\uac10\uc774 \uc788\uc5c8\uc2b5\ub2c8\ub2e4. \uce58\ubc00\ud558\uace0\ub3c4 \uc815\uc131\uc774 \ub2f4\uae34 \uad8c\uc704(authority)\ub97c \uac00\uc9c4 \uc800\uc790(author)\uc758 formal\ud55c \uae00\ub4e4\uc5d0 \ubc18\ud574 \uac00\ubcbc\uc6b4 \uc774\uc57c\uae30\uac00 \uad8c\uc704\ub97c \uac00\uc9c0\uba70, \uce58\ubc00\ud558\uace0\ub3c4 \uc815\uc131\uc774 \ub2f4\uae34 \uae00\ub3c4 \uc5b8\uc5b4(logos)\uc77c \ubfd0\uc774\uae30\uc5d0 \uadf8\ub7ec\ud55c \uae00\ub3c4 \uce58\ubc00\ud558\uace0 \uc815\uc131\uc774 \ub2f4\uae34 \uae00\ub85c\uc11c \ube44\ud310\ud560 \uc218 \uc788\ub294 \uc2e0\uc911\ud568\uc774 \uc788\uc5b4\uc57c \ud558\ub294\ub370 \uadf8\ub7ec\ud55c \uc2e0\uc911\ud568 \uc5c6\uc774 \ud37c\uc838\ub098\uac08 \uac00\ub2a5\uc131 \ub4f1\ub4f1.. <\/p>\n<p> \ud558\uc9c0\ub9cc \uc5b8\uc5b4\uc5d0 \ud604\uc2e4\uc801\uc778 \uad6c\uc5b4\uc8fc\uc758(colloquialism)\ub97c \uac15\uc870\ud568\uc5d0 \uc788\uc5b4, \uc774\ub7ec\ud55c chat\ud615\uc2dd\uc758 \uae00\uc744 \ube4c\ub9ac\uc9c0\ub9cc \uc774\ub807\uac8c\ub3c4 formal \ud560 \uc218 \uc788\ub2e4\ub294 \ud604\uc2e4 \uc55e\uc5d0\uc11c \ubb34\ud55c\ud55c \ud76c\ub9dd\uc744 \uac16\uc2b5\ub2c8\ub2e4. <\/p>\n<p> \uc774 \uac8c\uc2dc\ud310\uc5d0\uc11c \ub204\ub9b4 \uc218 \uc788\ub294 \uc774\ub7ec\ud55c \ud76c\ub9dd\uc73c\ub85c \ubaa8\ub450\ub4e4 \uc990\ud1b5~~ <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; (Formal Chat) \uc990\ud1b5~~ \uc5d0 \ub300\ud55c \uc4f8\ub370\uc5c6\ub294 \uc774\uc57c\uae30 <\/p>\n<p> \uc0ac\uc2e4 \ucc44\ud305\uacfc \uac8c\uc2dc\ud310\uc740 \ube60\ub978 \uc2dc\uac04\uc5d0 \ud55c \uc0dd\uac01\ub9cc\uc774 \ubc18\uc601\ub41c\ub2e4\ub294 \uc810\uc5d0\uc11c \uae4a\uc774\uc788\ub294 \uc0dd\uac01\uc744 \uc4f4 \uae00\uc774 \ub418\uae30\ub294 \uc5b4\ub835\ub2e4\ub294\ub370 \ub3d9\uc758\ud569\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \ub2e4\uc74c\uacfc \uac19\uc740 \uc810\uc744 \uc0dd\uac01\ud558\uba74 \uc5b4\ub5a8\uae4c \ud558\ub294\ub370\uc694. <\/p>\n<p> \uc6b0\uc120 \ub2e8\uc21c\ud788 \uc785\uc73c\ub85c \ud558\ub294 \ub9d0 \ucc44\ud305\uc5d0 \ube44\uad50\ud558\uc5ec \ubcf4\uba74 \ub300\ubd80\ubd84 \uc0ac\ub78c\ub4e4\uc5d0\uac8c \ud0a4\ubcf4\ub4dc \ucc44\ud305\uc740 \uc785\ubcf4\ub2e4 \ub290\ub9bd\ub2c8\ub2e4. \uadf8\ub7ec\ub2c8\uae4c \uc11c\ub85c \ub300\ud654\ud560 \ub54c \ucef4 \ucc44\ud305\uc774 \ub354 \uc0dd\uac01\uc744 \ub9ce\uc774 \ud558\uace0 \uc774\uc57c\uae30 \ud560 \uc218 \uc788\ub2e4\ub294 \uc810\uc5d0\uc11c \uc624\ud788\ub824 \uae4a\uc774\uc788\ub294 \uc774\uc57c\uae30\uac00 \ub098\uc62c \uc218 \uc788\uc9c0 \uc54a\uc744\uae4c? <\/p>\n<p> \ub458\uc9f8, \ube44\ube44\uc5d0 \uc4f0\ub294 \uae00\ub4e4(\ucc44\ud305?)\uc740 \ub300\ubd80\ubd84 \ubcf4\ud1b5 \uae00\ub4e4\ubcf4\ub2e4\ub294 \ud1f4\uace0\ub97c \ub35c \uac70\uce5c, \uac70\uce5c \uae00\ub4e4\uc774\ub77c\ub294 \uc810\ub3c4 \uc0ac\uc2e4\uc778\uac70 \uac19\uc544\uc694. \ud558\uc9c0\ub9cc \uc21c\uac04\uc801\uc778 \uc0dd\uac01\uc744 \uae00\ub85c \ubc14\uafb8\ub294 \uac83\uc740 \uac1c\uac1c\uc758 \uae00\uc758 \uc644\uc131\ub3c4\ub294 \ub5a8\uc5b4\uc9c0\uc9c0\ub9cc \uc5ec\ub7ec \uc0ac\ub78c\uc774 \ube60\ub974\uac8c (\ub9d0\ubcf4\ub2e4\ub294 \uae34) \uae00\uc744 \uad50\ud658\ud558\uba74\uc11c \uc0ac\uace0\uc758 \ud611\ub825\uc774 \uc774\ub8e8\uc5b4\uc9c8 \uc218 \uc788\ub2e4\ub294 \uc810\uc5d0\uc11c \uc7a5\uc810\uc774 \uc788\ub2e4\uace0 \ubcf4\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc785\ucc44\ud305\uacfc \uc778\uc1c4\uae00\uc758 \uc911\uac04 \uc815\ub3c4\uc5d0\uc11c \uc7a5\ub2e8\uc810\uc744 \ubcf4\uc644\ud558\ub294 \ubc29\ubc95\uc774 \uc544\ub2d0\uae4c\uc694. <\/p>\n<p> \uc138\uc9f8, \ube44\ube44\uc758 \uae00\ub4e4\uc774 \ubb34\uc9c8\uc11c\ud574\uc11c \ubb34\uc9c8\uc11c\ub3c4\ub9cc \ub192\uc774\ub294 \uac83\uc774 \uc544\ub2cc\uac00 \ud558\uace0 \uc0dd\uac01\ub418\uc9c0\ub9cc, \uc870\uae08 \uae38\uac8c \ubcf8\ub2e4\uba74 \uc774 \ubb34\uc9c8\uc11c\ub294 \ub2f9\uc7a5\uc740 \ubcf4\uae30 \ud749\ud574\ub3c4 \uc544\ub9c8 \uc0c8\ub85c\uc6b4 \uc9c8\uc11c\ub97c \ucc3e\uc544\ub098\uac00\ub294(\uaf2d \uae30\uc874 \uc9c8\uc11c\ub97c \ub4a4\uc5ce\ub294 \uac83\uc774 \uc544\ub2cc) \uacfc\uc815\uc774\ub77c\uace0 \uc0dd\uac01\ub3fc\uc694. \uc0c8\ub85c\uc6b4 \uac83\uc744 \ubc1c\uacac\ud558\ub294 \ucc3d\uc758\uc801 \uc0ac\uace0\uc758 \uacfc\uc815\uc740 \ud56d\uc0c1 \ubb34\uc9c8\uc11c\ud55c \uc0c1\ud0dc\ub97c \uacbd\ud5d8\ud558\uace0 \uc774\ub97c \uc885\ud569, \uc815\ub9ac\ud558\ub294 \uacfc\uc815\uc744 \uac00\uc9c0\ub294 \uac83 \uac19\uc544\uc694. \uc544\ub9c8\ub3c4 \uc0ac\ub78c\ub4e4\uc774 \ub9cc\ub4dc\ub294 \ubb34\uc9c8\uc11c\ud55c \uc0c1\ud0dc\ub294 \ubb34\uc5b8\uac00 \ucc3e\uc744 \uac83\uc774 \uc788\ub294\ub370 \uc544\uc9c1 \ubaa8\ub974\ub294 \uacbd\uc6b0\uc5d0 \uc774 \uac83\uc744 \ucc3e\uae30 \uc704\ud574\uc11c \ub9c8\uad6c \ub298\uc5b4\ub193\uc740 \uac83\uc774\ub77c\uace0 \ubcfc \uc218\ub3c4 \uc788\uc9c0 \uc54a\uc744\uae4c \ud558\ub294 \uc0dd\uac01\uc774\ub124\uc694. (\uc0ac\ub78c\ub4e4\uc774 \ubb54\uac00 \ucc3e\uc744 \uc0c8\ub85c\uc6b4 \uac83\uc774 \uc788\ub2e4\uace0 \uc0dd\uac01\uc774 \ub4e4 \ub54c, \uae30\uc874\uc758 \uac83\ub4e4(\uc0c8\ub85c\uc6b4 \uac83\uc744 \uc124\uba85\ud558\uc9c0 \ubabb\ud558\ub294)\uc5d0 \ub300\ud574\uc11c \uc2ec\ub9ac\uc801\uc73c\ub85c \ub2f5\ub2f5\ud568\uc744 \ub290\ub080\ub2e4\uace0 \ubcf4\uc774\ub294\uad70\uc694.) <\/p>\n<p> \uc4f8\ub370\uc5c6\ub294 \uc774\uc57c\uae30\uc785\ub2c8\ub2e4. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; (\ud30c\uc77c) Infinite sum \ud615\ud0dc\uc758 Cauchy-Schwartz \ubd80\ub4f1\uc2dd <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/Cauchy-Schwartz-inequality_cantoryoo.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/Cauchy-Schwartz-inequality_cantoryoo.hwp<\/a> <\/p>\n<p> 15\uc77c\ub0a0 \uc81c\uac00 \uc7a0\uae50 \ubc1c\ud45c\ud588\ub358 \ub0b4\uc6a9\uc744 \uc815\ub9ac\ud55c \uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> \ud30c\uc77c\uc774 \uc62c\ub77c\uc640\uc57c\uaca0\uc9c0\uc694?? \uc880 \uae30\ub2e4\ub824\uc57c \ud569\ub2c8\ub2e4.^^ <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; (\ud30c\uc77c) \uc0dd\uac01\ud55c\uac70\ub78d\ub2c8\ub2e4. <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/kimungyong1017.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/kimungyong1017.hwp<\/a> <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \uc774\ub807\uac8c \uc0dd\uac01\ud574\ubcf4\uba74 \uc5b4\ub5a8\uae4c\uc694&#x2026; <\/p>\n<p> \ub9c8\uc9c0\ub9c9\uc5d0 m=3\uc778 \uacbd\uc6b0\ub97c \uc2dc\ub3c4\ud558\uc600\ub294\ub370, \uc9c0\ub09c\uc2dc\uac04\uc5d0 \ud55c \ud568\uc218\uc758 Holder\ubd80\ub4f1\uc2dd\uc758 \uacbd\uc6b0\uc5d0 \uc801\uc6a9\ud574\ubcf4\uace0 \ud78c\ud2b8\ub97c \uc5bb\uc744\uc218 \uc788\uc9c0\ub3c4 \uc54a\uc744\uae4c \ud558\ub294\ub370&#x2026; <b>* \ud568\uc218\uc758 Holder \ubd80\ub4f1\uc2dd\uc744 \uc774\uc6a9\ud55c\ub2e4\ud568\uc740 $ &int;(fgh) &lt; [&int; f^3]^{1\/3} [&int;(gh)^{3\/2}]^{2\/3} &lt;[&int; f^3]^{1\/3}[&int; g^3]^{1\/3}[&int; h^3]^{1\/3} $ \uac01\uac01 \ubd80\ub4f1\uc2dd\uc5d0\uc11c \ud55c\ubc88\uc529 Holder \ubd80\ub4f1\uc2dd\uc774\uc6a9\ud568.*<\/b> <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; (\uadf8\ub0e5) \uc800&#x2026; <\/p>\n<p> \uc81c \uc774\ub984 \uc601\uc5b4\ub294 Kim Woongyong \uc778\ub370\uc5ec&#x2026; ^^;; <\/p>\n<p> &#8221;&#8217;\uc548\ucc3d\ud638&#8221;&#8217; \ub450\ubc88\uc9f8 \uc820\uc2a8\ubd80\ub4f1\uc2dd \ubd80\ub4f1\ud638 \ubc14\ub00c\uc5c8\ub124\uc694 <\/p>\n<p> f\uc758 \uc774\uacc4\ub3c4\ud568\uc218\uc758 \ubd80\ud638\uac00 \uc74c\uc218\uc77c\ub54c\uac00 \uadf8\ub807\uac8c \ub418\ub294\uac70\uace0,  f\uc758 \uc774\uacc4\ub3c4\ud568\uc218\uc758 \ubd80\ud638\uac00 \uc591\uc218\uc77c\ub54c\ub294 \ubc18\ub300\ub85c&#x2026; \ubb50 \uad73\uc774 \uc4f0\uc790\uace0 \ud558\uba74 x\uac00 \uc74c\uc218\uc774\uba74 \ub418\ub294\ub370 -_- <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \ud558\uc9c0\ub9cc \uad6c\uac83\ub9cc \uc798\ubabb \uc37c\uc744 \ubfd0.. <\/p>\n<p> \uad6c \ub2f4\ubd80\ud130\ub294 \ub610 \uc81c\ub300\ub85c \uc4f0\uace0 \uc788\uc9c0\uc694? \uc800\uc758 \uc624\ud0c0\uc600\uc744\ub4ef.. \ub0b4\uc6a9\uc0c1\uc758 \ubb38\uc81c\ub294 \uc5c6\uc5b4\uc694. <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \uacfc\uc5f0&#x2026;\uadf8\ub7f4\uae4c?? <\/p>\n<p> \uc74c \uc798 \uc77d\uc5b4 \ubd24\ub294\ub385&#x2026; \uc820\uc2a8\ubd80\ub4f1\uc2dd\uc5d0 \uad00\ud55c \uccab\ubc88\uc9f8 \uc598\uae30\ub3c4 $ a_1,a_2 $ \uac00 \ubaa8\ub450 \uc591\uc218\ub77c\ub294 \uc804\uc81c\uc870\uac74\uc774 \ud544\uc694\ud560 \uac83 \uac19\ub2e4. \uadf8\ub9ac\uace0 \uc911\uac04\uc5d0 \uc0b0\uc220\uae30\ud558 \ud3c9\uade0\uacfc \uc5f0\uacb0\uc2dc\ud0a4\ub294 \uacfc\uc815\uc5d0\uc11c $ a_i&le;(a_i)^j $ \ub77c\ub294 \uac83\uc744 \uc0ac\uc6a9\ud588\ub294\ub370 \uc774\uac83\uc740 $ a_i&ge; 1 $ \uc77c \ub54c\ub9cc \uac00\ub2a5\ud55c \ubc29\ud5a5\uc774\uc9c0 \uc54a\uc740\uac10!!! <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd\uc758 \ub4f1\ud638\uc870\uac74\uacfc \uba87\uac00\uc9c0 \uc758\ubb38&#x2026; <\/p>\n<p> p,q=&gt;1\uc774\uace0 (1\/p)+(1\/q)=1\uc774\uba70 |f|^{p}\uc640 |g|^{q}\uac00 \uac01\uac01 L^p, L^q\uc5d0 \uc18d\ud560 \ub54c (|f|^{p}\uc640 |g|^{q}\uac00 \ub9ac\ub9cc\uc801\ubd84\uac00\ub2a5\ud55c \uacbd\uc6b0\ub85c \ucd95\uc18c\uc2dc\ucf1c \uc0dd\uac01\ud574\ub3c4 \ub428) int|fg|=(int|f|^{p})^{1\/p}(int|g|^{q})^{1\/q}\uc77c \ucda9\ubd84\uc870\uac74\uc740 a=(int|f|^{p})^{1\/p} b=(int|g|^{q})^{1\/q} \ub77c \ud560 \ub54c, |(f\/a)|^{p}=|(g\/b)|^{q}\uac00 \ub429\ub2c8\ub2e4. <\/p>\n<p> H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd\uc744 \uc99d\uba85\ud558\ub294 \uacfc\uc815\uc744 \uc0b4\ud3b4\ubcf4\uba74 <\/p>\n<p> int|f\/a|^{p}=int|f\/b|^{p}=1 \uc774\uace0, <\/p>\n<p> \uc0b0\uc220\uae30\ud558\ud3c9\uade0\uc5d0 \uc758\ud574 <\/p>\n<table border=\"2\" cellspacing=\"0\" cellpadding=\"6\" rules=\"groups\">\n<colgroup>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<\/colgroup>\n<tbody>\n<tr>\n<td class=\"org-left\">(f\/a)<\/td>\n<td class=\"org-left\">*<\/td>\n<td class=\"org-left\">(g\/b)<\/td>\n<td class=\"org-left\">&lt;=(1\/p)<\/td>\n<td class=\"org-left\">(f\/a)<\/td>\n<td class=\"org-left\">^{p}+(1\/q)<\/td>\n<td class=\"org-left\">(g\/b)<\/td>\n<td class=\"org-left\">^{q}\uc774\ubbc0\ub85c<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> int|(f\/a)|*|(g\/b)|&lt;=(1\/p)int|(f\/a)|^{p}+(1\/q)int|(g\/b)|^{q}=1 <\/p>\n<p> \uc774\ub807\uac8c \uc99d\uba85\uc774 \ub05d\ub098\uc8e0&#x2026; <\/p>\n<p> \uc5ec\uae30\uc11c |(f\/a)|*|(g\/b)|=(1\/p)|(f\/a)|^{p}+(1\/q)|(g\/b)|^{q}\uc77c \ud544\uc694\ucda9\ubd84\uc870\uac74\uc740 |(f\/a)|^{p}=|(g\/b)|^{q} \uc785\ub2c8\ub2e4. <\/p>\n<p> \ub530\ub77c\uc11c |(f\/a)|^{p}=|(g\/b)|^{q}\uac00 int|fg|=(int|f|^{p})^{1\/p}(int|g|^{q})^{1\/q}\uc758 \ucda9\ubd84\uc870\uac74\uc784\uc740 \ubd84\uba85\ud569\ub2c8\ub2e4. <\/p>\n<p> \uadf8\ub807\ub2e4\uba74 int|fg|=(int|f|^{p})^{1\/p}(int|g|^{q})^{1\/q}\uc774\uba74 |(f\/a)|^{p}=|(g\/b)|^{q}\uac00 \uc131\ub9bd\ud560\uae4c\uc694?? <\/p>\n<p> \ub9cc\uc57d\uc5d0 \uc131\ub9bd\ud55c\ub2e4\uba74 int(|(f\/a)|*|(g\/b)| &#8211; [(1\/p)|(f\/a)|^{p}+(1\/q)|(g\/b)|^{q}])=0 \uc77c \ub54c |(f\/a)|*|(g\/b)| &#8211; [(1\/p)|(f\/a)|^{p}+(1\/q)|(g\/b)|^{q}]=0\uc774\ub77c\uace0 \uc8fc\uc7a5\ud558\ub294 \uac83\uacfc \uac19\uc740 \ub9d0\uc774 \ub429\ub2c8\ub2e4. <\/p>\n<p> \uadf8\ub7ec\ub098 \uc77c\ubc18\uc801\uc73c\ub85c \uadf8\ub807\uc9c4 \uc54a\uc8e0&#x2026; \uc989, int f = 0 \uc774\ub77c\uace0 \ud574\uc11c f=0\uc774\ub77c\uace0 \ub9d0\ud560 \uc21c \uc5c6\ub2e4\ub294 \ub9d0\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc5b4\ub5a4 \ud3d0\uad6c\uac04 [-1,1]\uc5d0\uc11c \ud568\uc218 f\uac00 f(x)=0 if x is not 0 1 if x is 0 \ub85c \uc815\uc758\ub41c\ub2e4\uba74 f\ub294 \ub9ac\ub9cc\uc801\ubd84\uac00\ub2a5\ud569\ub2c8\ub2e4. <\/p>\n<p> \uc880\ub354 \ud655\uc7a5\ud574\uc11c \uc598\uae30\ud558\uba74 M={x|f(x) is not 0}\uac00 measure zero\uac00 \ub418\ub294 \ud568\uc218 f\uac00 M\uc774\uc678\uc758 \uc810\uc5d0\uc11c 0\uc77c \ub54c, int f = 0 (\uc5ec\uae30\uc11c int\ub294 \ub974\ubca1\uc801\ubd84)\uc774\uc9c0\ub9cc f=0\uc774 \uc544\ub2d9\ub2c8\ub2e4. <\/p>\n<p> \ud558\uc9c0\ub9cc, f\uac00 \uc5f0\uc18d\ud568\uc218\ub77c\uba74 int f = 0 \uc77c \ub54c f=0\uc774 \ub429\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 \ub9cc\uc57d f=0\uc774 \uc544\ub2c8\ub77c\uba74 f\uac00 \uc5f0\uc18d\uc774\uae30 \ub54c\ubb38\uc5d0 f=0\uc774 \uc544\ub2cc \uac1c\uad6c\uac04\uc774 \uc815\uc758\uc5ed\uc5d0 \uc874\uc7ac\ud558\uae30 \ub54c\ubb38\uc774\uc8e0&#x2026; \uc774\ub807\uac8c \ub418\uba74 int f = 0\uc774 \ub420 \uc218 \uc5c6\uc2b5\ub2c8\ub2e4.(\uadc0\ub958\ubc95) <\/p>\n<p> \uacb0\ub860\uc801\uc73c\ub85c H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd\uc758 \ub4f1\ud638\uc870\uac74\uc774 \ud544\uc694\ucda9\ubd84\uc870\uac74\uc774 \ub418\uae30 \uc704\ud574\uc11c\ub294 f\uc640 g\uac00 \ubaa8\ub450 \uc5f0\uc18d\ud568\uc218\uc774\uc5b4\uc57c \ud55c\ub2e4\ub294 \uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc5ec\uae30\uc11c \uc758\ubb38\uc774 \uc81c\uae30\ub418\ub294\ub370\uc694, \uacfc\uc5f0 f\uc640 g\uac00 \uc5f0\uc18d\ud568\uc218\ub77c\ub294 \uac83\uc774 H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd\uc758 \ub4f1\ud638 \uc870\uac74\uc774 \ud544\uc694\ucda9\ubd84\uc870\uac74\uc774 \ub418\uae30 \uc704\ud55c \ucd5c\uc18c\uc758 \uc870\uac74\uc77c\uae4c \ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \ub610\ud55c \ud544\uc694\ucda9\ubd84\uc870\uac74\uc774 \ub420 \uc218 \uc788\ub294 \ub2e4\ub978 \ub4f1\ud638\uc870\uac74\uc740 \uc5c6\ub294\uac00\ub3c4 \uc0dd\uac01\ud574 \ubcfc \ub9cc\ud569\ub2c8\ub2e4. \ub2e4\uac19\uc774 \uc0dd\uac01\ud574\ubd24\uc73c\uba74 \uc88b\uaca0\uc2b5\ub2c8\ub2e4.^^ <\/p>\n<p> &#8221;&#8217;\uc548\ucc3d\ud638&#8221;&#8217; \ud615\uc758 \ub9d0\uc5d0 \ubc18\ubc15 <\/p>\n<p> \uc0c1\ubc94\ud615\ub2d8 f\uac00 \uc5f0\uc18d\uc774\ub77c\ub3c4 int f = 0\uc774 \ub420 \uc218 \uc788\uc5b4\uc694 \uc801\ubd84\uad6c\uac04\uc744 \uc798 \uc7a1\uc73c\uba74&#x2026; int (from 0 to pi) cos x = 0 \uc774\uc796\uc544\uc694? \uc5ec\uae30\uc11c \uc801\ubd84\uad6c\uac04\uc774 \ud070 \uc5ed\ud560\uc744 \ud558\ub294 \ub4ef&#x2026; <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \ud615\uc758 \ub9d0\uc5d0 \ubc18\ubc15 <\/p>\n<p> \uc557 \ub098\uc758 \uc2e4\uc218&#x2026; \uc774\ub807\uac8c \ubc14\uafd4\uc57c \uaca0\uad70\uc694!!! <\/p>\n<p> f\uac00 \uc5f0\uc18d\ud568\uc218\uc774\uace0 \uc801\ubd84\uad6c\uac04\uc5d0\uc11c 0\uc774\uc0c1\uc758 \ud568\uc218\uac12\ub9cc\uc744 \ucde8\ud558\uac70\ub098 0\uc774\ud558\uc758 \ud568\uc218\uac12\ub9cc\uc744 \ucde8\ud560 \ub54c int f=0\uc774\uba74 f=0\uc774 \ub418\ub294\uad70\uc694. <\/p>\n<p> int(|(f\/a)|*|(g\/b)| &#8211; [(1\/p)|(f\/a)|^{p}+(1\/q)|(g\/b)|^{q}])=0 \uc77c \ub54c |(f\/a)|*|(g\/b)| &#8211; [(1\/p)|(f\/a)|^{p}+(1\/q)|(g\/b)|^{q}]&lt;=0 \uc774\ubbc0\ub85c (\uad6c\uac04\uc5d0 \uc0c1\uad00\uc5c6\uc774 \ud56d\uc0c1 \uc131\ub9bd\ud558\ubbc0\ub85c) f\uc640 g\uac00 \uc5f0\uc18d\uc77c \ub54c, |(f\/a)|*|(g\/b)| &#8211; [(1\/p)|(f\/a)|^{p}+(1\/q)|(g\/b)|^{q}]=0 \uc774\ub77c\uace0 \ud560 \uc218 \uc788\uaca0\uc2b5\ub2c8\ub2e4. \uc774\uc81c \ub418\uc5c8\ub098\uc694??^^ <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \ubc11\uc758 \uae00\uc5d0 \ub538\ub9b0 \uc81c\uc548&#x2026; <\/p>\n<p> \uc5f0\uc18d\ud568\uc218 f\uc5d0 \ub300\ud558\uc5ec \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud569\uc2dc\ub2e4. <\/p>\n<p> p=&gt;1\uc77c \ub54c, <\/p>\n<table border=\"2\" cellspacing=\"0\" cellpadding=\"6\" rules=\"groups\">\n<colgroup>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<\/colgroup>\n<tbody>\n<tr>\n<td class=\"org-left\">f<\/td>\n<td class=\"org-left\">=(int<\/td>\n<td class=\"org-left\">f<\/td>\n<td class=\"org-left\">^{p})^{1\/p}<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> (\uc5ec\uae30\uc11c int\ub294 \ub9ac\ub9cc\uc801\ubd84) \uadf8\ub7ec\uba74 norm\uc758 \uc138\uac00\uc9c0 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\ud558\uac8c \ub429\ub2c8\ub2e4. <\/p>\n<p> \uadf8\ub7ec\ub098 f\ub97c L^p\uc5d0 \uc18d\ud558\ub294 \ud568\uc218\ub77c \ud558\uace0 \uc704\uc640 \ub611\uac19\uc774 \uc815\uc758\ud558\uba74 norm\uc758 \uc138\uac00\uc9c0 \uc870\uac74 \uc911 \ud55c\uac00\uc9c0\uac00 \uae68\uc9d1\ub2c8\ub2e4. \ubc14\ub85c positive definite \uc870\uac74\uc785\ub2c8\ub2e4. positive definite \uc870\uac74\uc740 |f|=0\uc77c \ud544\uc694\ucda9\ubd84\uc870\uac74\uc774 f=0 \uc774\ub77c\uace0 \ub9d0\ud569\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \uc55e\uc758 \uae00\uc5d0\uc11c \ub9d0\ud588\ub4ef\uc774 \uadf8\ub807\uc9c0 \uc54a\uc8e0&#x2026; \uc774\ub807\uac8c positive definite \uc870\uac74\uc774 \uae68\uc9c0\uba74\uc11c |f|=&gt;0\uc774 \ub418 \ub294 \uc870\uac74\uc744 semipositive\ub77c \ud558\ub294\ub370\uc694&#x2026; \uc774\ub7f0 \uc870\uac74\uc740 norm\ubfd0\ub9cc \uc544\ub2c8\ub77c \ub0b4\uc801\uc5d0\uc11c\ub3c4 \ub098\uc624\uace0, \uadf8\uc678\uc5d0 \uc5ec\ub7ec\uac00\uc9c0 operator\ub4e4\uc744 \uc815\uc758\ud560 \ub54c\ub3c4 \uc4f0\uc774\uac8c \ub418\ub294\ub370&#x2026;(\uc120\ud615\ub300\uc218\uc5d0\uc11c\uc758 operator) \uc81c\uc548\uc785\ub2c8\ub2e4. positive definite\uc640 semipositive \uc131\uc9c8\uc740 \uc5b4 \ub5a0\ud55c \uacb0\uacfc\uc758 \ucc28\uc774\ub97c \uac00\uc838\uc62c\uae4c \ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc989,positive definite \uc131\uc9c8\uc744 \ub9cc\uc871\ud558\uc9c0 \uc54a\ub294 operator\ub294 \uc5b4\ub5a0\ud55c \uac83\ub4e4\uc774 \uc788\uc73c\uba70 positive definite \uc131\uc9c8\uc744 \uac16\ub294 \ub188\ub4e4\uacfc \uc5b4\ub5a0\ud55c \uacb0\uacfc \uc758 \ucc28\uc774\ub97c \uac00\uc838\uc62c \uac83\uc778\uac00 \ud558\ub294 \uac83\uc785\ub2c8\ub2e4.^^ <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \uc81c\uc548 &lt;- \uadf8\uac83\uc740&#x2026; <\/p>\n<p> semi positive(pseudo-norm)\ub77c\ub294 \uac83\uc740 \ub9c8\uce58 \uac19\uc740 \uc870\uac74\uc744 \uac00\uc9c4(\uc6b0\ub9ac \uacbd\uc6b0\uc5d0\ub294 \uc801\ubd84\uc5d0 \ub300\ud55c \uc870\uac74) \ub300\uc0c1\uc774 \uc5ec\ub7ff \uc788\uc744 \ub54c\uc640 \uac19\uc740 \uac83\uc785\ub2c8\ub2e4. \uc989 <\/p>\n<table border=\"2\" cellspacing=\"0\" cellpadding=\"6\" rules=\"groups\">\n<colgroup>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<\/colgroup>\n<tbody>\n<tr>\n<td class=\"org-left\">f &#8211; g<\/td>\n<td class=\"org-left\">= 0 \uc774\uc9c0\ub9cc &#8216;f not= g&#8217;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> \uc640 \uac19\uc740 \uacbd\uc6b0\uc774\uc9c0\uc694. \uc774\ub7ec\ud55c \uacbd\uc6b0\uc5d0 f\uc640 g\ub294 \uacf5\uac04\uc5d0\uc11c \uac19\uc740 \uc704\uce58\uc5d0 \uc788\uc9c0\ub9cc \uc11c\ub85c \ub2e4\ub978(\uc989, f\uc640 g\ub294 \uc11c\ub85c \uc0ac\uc774\uc758 \uac70\ub9ac\ub294 0 \uc774\uc9c0\ub9cc \uc11c\ub85c \ub2e4\ub978) \ub450 \ub300\uc0c1\uc785\ub2c8\ub2e4. \uc774\ub7ec\ud560 \ub54c, \uc704\uce58\uc0c1\uc73c\ub85c\ub9cc \ubcf4\uba74 f\uc640 g\ub294 \uac19\uc740 \uac83(\uc704\uce58)\uc744 \ub450 \uc774\ub984(f, g)\uc73c\ub85c \ubd80\ub974\ub294 \uac83\uc774\ub098 \uc9c4\ubc30 \uc5c6\uc73c\ubbc0\ub85c \uac19\uc740 \uac83\uc774\ub77c\uace0 \ubd10 \uc904 \uc218 \uc788\uc8e0. \uc774\ub807\uac8c \uac19\uc740 \uc704\uce58\uc5d0 \uc788\ub294 \uac83\ub4e4\uc744 \uc11c\ub85c \uac19\uc740 \uac83\uc73c\ub85c \ub3d9\uc77c\uc2dc\ud558\uba74 \uc704\uc758 pseudo-norm\uc740 norm\uc774 \ub418\uace0 \ub9d9\ub2c8\ub2e4. <\/p>\n<p> \ub530\ub77c\uc11c L^p \ubc14\ub098\ud558 \uacf5\uac04\uc5d0\uc11c\ub294 \ub450 \ud568\uc218\uac00 measure 0 \uc778 \uc9d1\ud569 \uc704\uc5d0\uc11c\ub9cc \uc11c\ub85c \ub2e4\ub97c \ub54c, \ub450 \ud568\uc218\ub294 \uac19\ub2e4\uace0 \ud569\ub2c8\ub2e4. \uae30\ud638\ub85c\ub294 f = g (a.e.) \ub77c\uace0 \uc4f0\uc9c0\uc694. \uc774 \ub9d0\uc740 \uc801\ubd84\uc73c\ub85c \uad6c\ubcc4\uc774 \uc548\ub418\ub294 \ud568\uc218\ub294 \uad6c\ubcc4\ud558\uc9c0 \ub9d0\uc790\ub294 \ub73b\uc785\ub2c8\ub2e4. \uc801\ubd84\ub860\uc744 \uc8fc\ucd95\uc73c\ub85c \ud558\ub294 \ubc14\ub098\ud558\uacf5\uac04\ub860\uc744 \uc804\uac1c\ud560 \ub54c \uc774\uc640 \uac19\uc740 f, g\ub294 \uad6c\ubcc4\ud560 \ud544\uc694\uac00 \uc5c6\uc73c\ub2c8\uae4c\uc694. <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \uc81c\uc548 &lt;- \uadf8\uac83\uc740 &#x2026; <\/p>\n<p> \uc544! \uc0dd\uac01\uc744 \ubabb\ud588\uc2b5\ub2c8\ub2e4. L^p\uacf5\uac04\uc774 \uc801\ubd84\uc73c\ub85c \uad6c\ubcc4\uc774 \uc548\ub418\ub294 \ud568\uc218\ub294 \uad6c\ubcc4\ud558\uc9c0 \ub9d0\uc790\ub294 \uad00\uacc4\ub85c equivalence class\ub4e4\uc744 \uc804\ubd80\ub2e4 \ubaa8\uc544\ub193\uc740 \uac83\uc774\uad70\uc694.. \uc8c4\uc1a1^^ <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; 40\ubc88 \uae00\ub3c4&#x2026; <\/p>\n<p> &gt; 1\/p+1\/q=1 &amp; p&gt;0 ,q&gt;0 \uc774\uba74 \ub2f9\uc5f0\ud788 \ub458\ub2e4 1\ubcf4\ub2e4 \ud06c\uc8e0&#x2026; &gt; &gt; \uc0dd\uac01\ud574 \ubcf4\uba74 1\/p+1\/q=1\uc774 \uac04\ub2e8\ud55c \uc2dd\uc774\uc9c0\ub9cc \uc544\uc8fc \ub9ce\uc740 \ubcc0\ud615 &gt; \ud615\ud0dc\uac00 \ub098\uc635\ub2c8\ub2e4. \uc774\ub807\uac8c \ub9ce\uc740 \uc870\uc791\uc744 \ub9cc\ub4e4\uc5b4\ub0b4\ub294 \uac04\ub2e8\ud55c \uc2dd\uc774 \ub610 \uc788\uc744 \uae4c \ud569\ub2c8\ub2e4. &gt; <\/p>\n<p> \uadf8\ub807\uad70\uc694&#x2026; \uc81c\uac00 \uc4f4 40\ubc88 \uae00\ub3c4 p,q&gt;0 \ub77c\uace0\ub9cc \uac00\uc815\ud574\ub3c4 \ub418\uaca0\uad70\uc694^^ <\/p>\n<p> &#8221;&#8217;\uc548\ucc3d\ud638&#8221;&#8217; p,q&gt;1\uc77c\ud150\ub370\uc694 -_-;(\ub0c9\ubb34) <\/p>\n<p> &#8221;&#8217;\uc7a5\uc0c1\uc6b4&#8221;&#8217; \uc0c1\uad00\uc5c6\uc2b5\ub2c8\ub2e4 <\/p>\n<p> 1\/p+1\/q=1 &amp; p&gt;0 ,q&gt;0 \uc774\uba74 \ub2f9\uc5f0\ud788 \ub458\ub2e4 1\ubcf4\ub2e4 \ud06c\uc8e0&#x2026; <\/p>\n<p> \uc0dd\uac01\ud574 \ubcf4\uba74 1\/p+1\/q=1\uc774 \uac04\ub2e8\ud55c \uc2dd\uc774\uc9c0\ub9cc \uc544\uc8fc \ub9ce\uc740 \ubcc0\ud615 \ud615\ud0dc\uac00 \ub098\uc635\ub2c8\ub2e4. \uc774\ub807\uac8c \ub9ce\uc740 \uc870\uc791\uc744 \ub9cc\ub4e4\uc5b4\ub0b4\ub294 \uac04\ub2e8\ud55c \uc2dd\uc774 \ub610 \uc788\uc744 \uae4c \ud569\ub2c8\ub2e4. <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; <\/p>\n<p> 42\ubc88 \uae00\uc5d0\uc11c \uc81c\uae30\ud55c \ubb38\uc81c\uc785\ub2c8\ub2e4. <\/p>\n<p> p,q &gt; 0\uc774\uace0 (1\/p)+(1\/q)=1\uc774\uba74 <\/p>\n<p> Sum |(a_n)(b_n)|&lt;=(Sum |a_n|^{p})^{1\/p}(Sum |b_n|^{q})^{1\/q} <\/p>\n<p> \uac00 \uc131\ub9bd\ud558\ub294\uac00? (\ub2e8, Sum\uc740 infinite sum) <\/p>\n<p> Sum |a_n|^{p}\uacfc Sum |b_n|^{q}\uc774 \uc218\ub834\ud55c\ub2e4\uba74 \uc131\ub9bd\ud569\ub2c8\ub2e4. H&#8217;o&#8217;lder \ubd80\ub4f1\uc2dd \uc99d\uba85 \ub54c\uc640 \ub9e4\uc6b0 \uc720\uc0ac\ud55c \ubc29\ubc95\uc73c\ub85c \uc99d\uba85\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<p> (\uc99d\uba85) Sum |a_n|^{p}\uacfc Sum |b_n|^{q}\uc774 \uc218\ub834\ud55c\ub2e4\uace0 \uac00\uc815\ud569\ub2c8\ub2e4. <\/p>\n<p> a=(Sum |a_n|^{p})^{1\/p} b=(Sum |b_n|^{q})^{1\/q} \uc774\ub77c \ub193\uc73c\uba74, <\/p>\n<p> Sum |a_n\/a|^{p}=Sum |b_n\/b|^{p}=1\uc774 \ub429\ub2c8\ub2e4. <\/p>\n<p> \uc0b0\uc220-\uae30\ud558\ud3c9\uade0 \ubd80\ub4f1\uc2dd\uc5d0 \uc758\ud558\uc5ec <\/p>\n<table border=\"2\" cellspacing=\"0\" cellpadding=\"6\" rules=\"groups\">\n<colgroup>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<col class=\"org-left\" \/>\n<\/colgroup>\n<tbody>\n<tr>\n<td class=\"org-left\">a_n\/a<\/td>\n<td class=\"org-left\">b_n\/b<\/td>\n<td class=\"org-left\">&lt;=(1\/p)<\/td>\n<td class=\"org-left\">a_n\/a<\/td>\n<td class=\"org-left\">^{p}+(1\/q)<\/td>\n<td class=\"org-left\">b_n\/b<\/td>\n<td class=\"org-left\">^{q} \uc774\ubbc0\ub85c<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> \uc591\ubcc0\uc5d0 infinite sum\uc744 \uc50c\uc6b0\uba74, <\/p>\n<p> Sum |a_n\/a|b_n\/b|&lt;=(1\/p)Sum |a_n\/a|^{p}+(1\/q)Sum |b_n\/b|^{q}=1 <\/p>\n<p> \uc774 \ub418\ub294 \uac83\uc744 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub7ec\uba74 \ubd80\ub4f1\uc2dd\uc740 \uc99d\uba85\ub41c \uac83\uc774\uc8e0&#x2026; <\/p>\n<p> \ub610\ud55c \ube44\uad50\ud310\uc815\ubc95\uc5d0 \uc758\ud574 Sum |a_n\/a|b_n\/b|\uc774 \uc218\ub834\ud558\uac8c \ub418\uace0, \uc790\uc5f0\uc2a4\ub7fd\uac8c Sum |(a_n)(b_n)|\ub3c4 \uc218\ub834\ud569\ub2c8\ub2e4. (\uc99d\uba85 \ub05d) <\/p>\n<p> \uadf8\ub9ac\uace0 \ub4f1\ud638\uac00 \uc131\ub9bd\ud558\uae30 \uc704\ud55c \ud544\uc694\ucda9\ubd84\uc870\uac74\uc740 |a_n\/a|^{p}=|b_n\/b|^{q} \uc785\ub2c8\ub2e4. \uc591\uc218 \uc218\uc5f4\uc758 infinite sum\uc774 0\uc774\uba74 \ubaa8\ub4e0 \ud56d\uc774 0\uc774 \ub418\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; \ud30c\uc77c\uc785\ub2c8\ub2e4. <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/from_chaos_to_self_organization.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/from_chaos_to_self_organization.hwp<\/a> <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc74c&#x2026;&#x2026; <\/p>\n<p> \uc0c1\ub2f9\ud788 \uae54\ub054\ud558\ub124\uc694.. \ud2b9\ud788 \uc5ec\uc9c0\uae4c\uc9c0 \ud55c \ubd80\ub4f1\uc2dd\ub4e4 (\uadf8\ub798\ub3c4 \uaf64 \uc911\uc694\ud558\uac8c \ub2e4\ub8e8\uac8c \ub41c 4\uac00\uc9c0\uc758 \ubd80\ub4f1\uc2dd)\uc744 \uc815\ub9ac\ud55c \uac83\uc774 \uc815\ub9d0 \ub208\uc5d0 \ub744\uc5b4\uc694. \ub0b4\uc6a9\ub3c4 \ubcc4 \ubb34\ub9ac\uac00 \uc5c6\uc5b4 \ubcf4\uc774\uace0\uc694. <\/p>\n<p> &#8221;\uac15\uc9c0\uc6d0&#8221; \ud30c\uc77c\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc815\ub9ac\ud55c\uac70 \uc798\ubd24\uc5b4\uc5fc..*^^* <\/p>\n<p> \uc624\ube60\uac00 \uc81c\uc548\ud558\uc168\uc5c8\ub358\uac70\ub294, \uc0b0\uc220\uae30\ud558\ubd80\ub4f1\uc2dd\uc744 \uc6b0\ubcc0\uc758 \ubd80\ub4f1\uc2dd\uc73c\ub85c \ub098\ub204\uc5b4\uc11c \uadf9\ud55c\uc744 \ucde8\ud55c\uac83\uc774 1\uc774\uc0c1\uc774\ub77c\ub294 \uac83 \uc544\ub2c8\uc5c8\ub098\uc5fc??? \uadf8\ub7ec\uba74 \uc758\ubbf8\uac00 \uc544\uc8fc \ub2ec\ub77c\uc838\uc11c \uc218\uc5f4\uc774 \uc218\ub834,\ubc1c\uc0b0\ud558\ub294 \uac83\uc744 \uace0\ub824\ud574 \ubd10\uc57c\ud55c\ub2e4\uace0 \uc120\uc0dd\ub2d8\uaed8\uc11c \ub9d0\uc500\ud558\uc2e0\uac70 \uac19\uc544\uc11c, \uc800\ubc88 \uc2dc\uac04\uc5d0 \ub098\ub984\ub300\ub85c \uc5f4\uc2ec\ud788 \uc218\uc5f4\uc774 \uc218\ub834\ud558\ub294 \uc870\uac74\uc744 \ucc3e\uc544\ubcf4\ub824 \ud588\ub294\ub370 \ub108\ubb34 \uc5b4\ub835\ub354\ub77c\uad6c\uc694,,, \uadf8\ub798\uc11c \uc608\ub098 \ucc3e\uc544\ubcf4\uc790\ud558\ub2e4\uac00&#x2026;\uc12d\uc774 \ub05d\ub0ac\uac70\ub4e0\uc5ec. \uc800\uc758 \uc9e7\uc740 \uc2dd\uacac\uc73c\ub85c\ub294 \ub354\uc774\uc0c1 \uc0dd\uac01\ud558\uae30 \uc5b4\ub824\uc6cc\uc11c&#x2026;-.-; \uc74c&#x2026;\uad81\uae08\ud55c\ub514&#x2026; \uc218\uc5c5\uc2dc\uac04\uc5d0 \uc5ec\ub7ec\uac00\uc9c0 \ud560\ub9cc\ud55c \uc81c\uc548\uc774 \ub9ce\uc774\ub098\uc640\uc11c\uadf8\ub7f0\uc9c0 \uc774\ubd80\ubd84\uc5d0\ub300\ud574\uc11c\ub294 \uae00\ub4e4\uc774 \uc5c6\ub124\uc694. \ud639\uc2dc \ub204\uad6c \ud574\ubcf4\uc2e0\ubd84 \uc788\uc73c\uba74 \uc54c\ub824\uc8fc\uc138\uc5fc.. <\/p>\n<p> \uadf8\ub7fc \uc8fc\ub9d0 \uc990\uac81\uac8c \ubcf4\ub0b4\uc138\uc694~~~ <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; 38\ubc88 \uae00\uacfc \uad00\ub828\uc774 \uc788\uc744 \ub4ef(\ub0c9\ubb34) <\/p>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221; (\ub2f5\ubcc0) <\/p>\n<p> \uc774 \uae00\uc744 \uc77d\uc73c\uc2dc\ub294 \ubd84\uc740 \uc608\uc804\uc5d0 \uc81c\uac00 \uc37c\ub358 \uae00\uacfc \ud568\uaed8 \uc77d\uc5b4 \ubcf4\uc2dc\uba74 \ud3b8\ud560 \ub4ef&#x2026; ^^ <\/p>\n<p> \uc774\ubbf8 n\ud56d\uae4c\uc9c0\uc758 \uc218\ud559\uc801\uadc0\ub0a9\ubc95\uc73c\ub85c \uc99d\uba85\uc774 \ub05d\ub0ac\ub2e4\ub294 \uc0ac\uc2e4\uc774 \uc790\uc5f0\uc218 \ub18d\ub3c4\uc5d0\uc11c \uac00\uc7a5 \uc77c\ubc18\ud654\ub41c \uc0b0\uc220\ud3c9\uade0, \uae30\ud558\ud3c9\uade0\ub07c\ub9ac\uc758 \ubd80\ub4f1\uc2dd\uc758 \ubb34\ud55c\ud56d \ubb38\uc81c\ub97c \uc99d\uba85\ud55c\uac70\ub77c\uace0 \ub9d0\ud588\uc2b5\ub2c8\ub2e4. <\/p>\n<p> \uc5ec\uae30\uae4c\uc9c0\ub9cc \ub9d0\ud558\uba74 \ub418\ub294 \uac70\uc600\uc2b5\ub2c8\ub2e4&#x2026;!! <\/p>\n<p> \ubb38\uc81c\uc81c\uae30\uac00 \uc788\uc5c8\uc2b5\ub2c8\ub2e4. $ \u03bb_1+\u03bb_2+&#x2026;+\u03bb_n+&#x2026;=1 $ \uc758 \uc870\uac74\uc740? <\/p>\n<p> -&gt; \uc218\ud559\uc801\uadc0\ub0a9\ubc95\uc5d0\uc11c \ubb38\uc81c\uc5c6\uc774 \uc774\ubbf8 \ub2e4\ub8ec \ub0b4\uc6a9\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc5ec\uae30\uc11c \uc591\ubcc0\uc758 n\uc774 \ucc29\ucc29\ucc29 \ub611\uac19\uc740 \uc18d\ub3c4\ub85c \ub298\uc5b4\ub098\uba74 \ub0a9\ub4dd\uc774 \uac00\uaca0\ub294\ub370 \uadf8\ub807\uc9c0 \uc54a\ub2e4\uba74 \uc5b4\ub5bb\uac8c \ub420\uae4c\ud558\ub294 \uc758\ubb38\uc5d0(\uc81c \uc790\uc2e0\uc758 \uc758\ubb38) \ubd80\ub4f1\uc2dd\uc758 \uc6b0\ubcc0\uc744 \ub098\ub208 \uac83\uc785\ub2c8\ub2e4. \ub610 \uc81c\uac00 \ubd80\ub4f1\uc2dd\uc758 \uc6b0\ubcc0\uc744 \ub098\ub204\uae30 \uc704\ud574 &#8216;\ud070\ubcc0\uc218&#8217;\ub77c\ub294 \uac1c\ub150\uc744 \uc124\uba85\ud588\ub358 \uac83\uc774\uad6c\uc694. <\/p>\n<p> \uc544\ubb34\ud2bc \uc6b0\uc5ec\uace1\uc808\ub85c \ubd80\ub4f1\uc2dd\uc758 \uc6b0\ubcc0\uc744 \ub098\ub208\ub2e4 \ud588\uc744 \ub54c 1 \ubcf4\ub2e4 \ud070 \uc88c\ubcc0\uc774 \uc218\ub834\ud558\ub294 \uc0ac\uc2e4\uc774 \ubcc4\ub8e8 \uc911\uc694\ud558\uc9c0 \uc54a\uc544 \ubcf4\uc774\ub124\uc694&#x2026; <\/p>\n<p> &#8221;&#8217;\uc720\ud76c\uc815&#8221;&#8217; \uc798 \ubd24\uc5b4\uc694!!! \uadf8\ub7f0\ub370 \uc625\uc758\ud2f0????? <\/p>\n<p> \ucca8 \uae00\uc744 \uc62c\ub9ac\ub124\uc694. \uc774\uc81c\uae4c\uc9c0 \ub098\uc628 \ubd80\ub4f1\uc2dd\uc744 \uc54c\uae30 \uc27d\uac8c \uc798 \uc815\ub9ac \ud558\uc2e0\uac83 \uac19\uc544 \uc778\uc1c4\ub97c \ud574\uc11c \ubd24\uac70\ub4e0\uc694. <\/p>\n<p> \uadfc\ub370,\uc0dd\uc18c\ud55c \ubd80\ub4f1\uc2dd(\ubbfc\ucf54\uc6b0\uc2a4\ud0a4\uc758 \ubd80\ub4f1\uc2dd)\uc774 \uc788\uc5b4 \ud55c\ubc88 \ucc3f\uc544 \ubd24\ub294\ub370 \ubbfc\ucf54\uc6b0\uc2a4\ud0a4\uc758 \ubd80\ub4f1\uc2dd\uc758 \uc6b0\ubcc0\uc758 \uc5f0\uc0b0\uc774 \uacf1\uc774 \uc544\ub2c8\ub77c \ud569\uc778\uac83 \uac19\uc740\ub370&#x2026;&#x2026; \uc544\ub2c8\uba74 \uc81c\uac00 \uc798\ubabb \uc774\ud574\ud588\ub098\uc694!!! <\/p>\n<p> \uc81c\uac00 \ucc3f\uc544\ubcf8 \ub0b4\uc6a9\uc740 \ud5ec\ub354\uc758 \ubd80\ub4f1\uc2dd\uc5d0\uc11c \ubbfc\ucf54\uc6b0\uc2a4\ud0a4 \ubd80\ub4f1\uc2dd\uc744&#x2026; \uadf8\ub7fc \uadf8\uacfc\uc815\uc744 \uac04\ub7b5\ud558\uac8c \uc801\uc5b4 \ubcfc\uaed8\uc694. <\/p>\n<p> \ud5ec\ub354\uc758 \ubd80\ub4f1\uc2dd <\/p>\n<p> \\[ sum{k=1}^{n}xkyk&lt;=  [sum{k=1}^{n}(xk)^p]^1\/p*[sum{k=1}^{n}(yk)^q]^1\/q \\] <\/p>\n<p> \uba3c\uc800, xk=ak, yk=(ak+bk)^(p-1) \ub300\uc785 (p-1)q=p \\[ sum{k=1}^{n}ak(ak+bk)^(p-1)&lt;=  [sum{k=1}^{n}(ak)^p]^(1\/p)*[sum{k=1}^{n}(ak+bk)^p]^1\/q \\]  &#x2026;..&lt;\u3131&gt; <\/p>\n<p> \uc774\ubc88\uc5d4 xk=bk, yk=(ak+bk)^(p-1) \ub300\uc785 (p-1)q=p \\[ sum{k=1}^{n}bk(ak+bk)^(p-1)&lt;=  [sum{k=1}^{n}(bk)^p]^(1\/p)*[sum{k=1}^{n}(ak+bk)^p]^1\/q \\] &#x2026;..&lt;\u3134&gt; <\/p>\n<p> &lt;\u3131&gt;+&lt;\u3134&gt;\ud558\uba74 \uc6b0\ub9ac\uac00 \ubc14\ub77c\ub358 \\[ [sum{k=1}^{n}(ak+bk)^p]^(1\/p)&lt;=  [sum{k=1}^{n}(ak)^p]^(1\/p)+[sum{k=1}^{n}(bk)^p]^(1\/p) \\] \ubbfc\ucf54\uc6b0\uc2a4\ud0a4\uc758 \ubd80\ub4f1\uc2dd\uc744 \uc5bb\ub294\ub2e4. <\/p>\n<p> \ud2b9\ud788 p=2\uc77c\ub54c x=(a1,a2,&#x2026;,an) y=(b1,b2,&#x2026;.,bn) \u3163\u3163x+y\u3163\u3163&lt;=\u3163\u3163x\u3163+\u3163y\u3163\u3163&#x2026;.\uc0bc\uac01\ubd80\ub4f1\uc2dd <\/p>\n<p>  \uacb0\uad6d  \uc0b0\uc220\uae30\ud558\ud3c9\uade0\uc758 \uc77c\ubc18\ud654\uac00 \uc820\uc13c\uc758 \ubd80\ub4f1\uc2dd \ucf54\uc2dc \uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc758 \uc77c\ubc18\ud654\uac00 \ud694\ub354\uc758 \ubd80\ub4f1\uc2dd\uc774\ub4ef \uc0bc\uac01\ubd80\ub4f1\uc2dd\uc744 \uc77c\ubc18\ud654\ud55c\uac83\uc774 \ubbfc\ucf54\uc6b0\uc2a4\ud0a4\uc758 \ubd80\ub4f1\uc2dd\uc778\uac83 \uac19\ub2e4. <\/p>\n<p> \uc218\uc2dd\uc774 \ub118 \ubcf5\uc7a1\ud574\uc11c \ubcf4\uae30 \ud798\ub4dc\uc168\uc8e0. \ub0a8\uc740 \uc8fc\ub9d0 \uc798 \ubcf4\ub0b4\uad6c \uc6d4\uc694\uc77c\ub0a0 \ubd50\uaed8\uc694. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; \uc4f8\ub370 \uc5c6\uc9c0 \uc54a\uc740 \ub2f5\ub2f5\ud568\uc5d0 \ub300\ud574&#x2026; <\/p>\n<p> \uc218\ud559\uc744 \ud558\uba74\uc11c\uc758 \ub2f5\ub2f5\ud568\uc73c\ub85c complex\ub97c \ub290\ub07c\uac8c \ub418\uace0, \uc2ec\uc9c0\uc5b4\ub294 \uc5f4\ub4f1\uac10\uae4c\uc9c0 \ub290\ub084 \uc218 \uc788\uc5c8\ub2e4\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. &#8216;\uc218\ud559&#8217;\uc744 \ud558\uba74\uc11c \ub9d0\uc785\ub2c8\ub2e4. \uc774\uac83\uc740 \uc218\ud559\uc801 \uc9c0\uc2dd\uc740 \uc0b6\uc73c\ub85c \ud658\uc6d0\ub418\uc9c0 \ubabb\ud55c\ub2e4\ub294 \uc774\uc57c\uae30\uac00 \ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub807\ub2e4\uace0 \uc218\ud559\uc744 \ud558\ub294 \uac83\uc774 \uc815\ub2f9\uc131\uc744 \uac00\uc9c0\uc9c0 \ubabb\ud560 \ub9cc\ud07c \uc544\ub984\ub2f5\uc9c0 \ubabb\ud55c \uc77c\uc774\ub77c\uace0 \uc0dd\uac01\uc9c0\ub294 \uc54a\uc2b5\ub2c8\ub2e4. \uaf3c\uaf3c\ud788 \uce58\ubc00\ud558\uac8c \uc815\ud655\ud55c \ucd9c\uc804\uc744 \ub300\uac00\uba74\uc11c, \ubb38\uc81c\ub3c4 \ud574\uacb0\ud558\uba74\uc11c, diagram\ub3c4 \uadf8\ub824\uac00\uba74\uc11c \uc5bb\uc740 \uc218\ud559\uc801 \uc9c0\uc2dd\uc744 \uba4b\uc9c0\uac8c \ubc84\ub9b4 \ubb38\uc81c\uc785\ub2c8\ub2e4. \ub3c8\uc744 \ubc8c\uc5b4\uc11c \uba4b\uc9c0\uac8c \uc0ac\ud68c\uc5d0 \ud658\uc6d0\ud558\ub4ef\uc774 \uc774\uac83(\uc218\ud559\uc801 \uc9c0\uc2dd)\uc73c\ub85c \uc138\uc0c1\uc744 \uc124\uba85\ud560 \uc218 \uc5c6\ub2e4\ub77c\uace0 \ub9d0\ud558\uba74\uc11c(\uc120\uc5b8\ud558\uba74\uc11c) \uba4b\uc9c0\uac8c \ubc84\ub9ac\ub294 \uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc8fc\uc81c\ub97c \uc881\ud600 \uc880 \ub113\uac8c \uc0dd\uac01\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc218\ud559\uc774 \uc778\ubb38\ud559\uc774 \ub420 \uc218 \uc788\ub290\ub0d0\ub294 \ubb38\uc81c\ub97c \uc0dd\uac01\ud558\uac8c \ub429\ub2c8\ub2e4. \uc778\ubb38\ud559\uc758 \ubcf8\uc9c8\uc774 \ubb34\uc5c7\uc774\ub77c\uace0 \ub9d0\ud560 \uc218 \uc788\uc744\uae4c\uc694. \uc778\ubb38\ud559\uc758 \ubcf8\uc9c8\uc740 \uc0b6\uc73c\ub85c\uc758 \ud658\uc6d0(reduction)\uc774\ub77c\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uc74c&#x2026; \ucca0\uc800\ud558\uac8c \uc774\ub7f0 \ud559\ubb38\uc744 \uc0dd\uac01\ud588\ub358 \uacf3\uc774 \ub3d9\uc591(eastern)\uc774\uc5c8\uace0, \uc218\ud559\uacfc \uacfc\ud559\uc73c\ub85c \uc778\ud55c \uae30\uc220\uc801\uc778 \ubc1c\uc804\uc774 \ubb38\uba85\uc758 \ubc1c\uc804\uc774\ub0d0 \uc544\ub2c8\ub0d0\ub294 \ud558\ub098\uc758 paradoxical\ud55c \ubb38\uc81c\ub97c \ub5a0\uc548\uc544 \uc628 \uacf3\uc774 \uc11c\uc591(western)\uc774\ub77c\uace0 \ub9d0\ud55c\ub2e4\uba74, \ub298 \uae30\uc220\ubc1c\uc804\uc5d0 \ub9ce\uc740 \ubd80\ubd84\uc5d0 \ud574\ub2f5\uc744 \uc8fc\ub294\ub370, \ubd80\uc791\uc6a9\uc5d0 \ub298 \ud574\uacb0\ucc45\uc744 \ub0b4\ub294\ub370 \ub2f9\ub2f9\ud55c \uc218\ud559\uc740 \ud56d\uc0c1 \uc774\ub7ec\ud55c paradoxical\ud55c \ubb38\uc81c \uc55e\uc5d0\uc11c\ub9cc\ud07c\uc740 \ub298 \ucd08\ub77c\ud568\uc774 \uc788\uc5b4 \ubcf4\uc785\ub2c8\ub2e4. \uc774\ub7f0 \ucd08\ub77c\ud568\uc740 \uc218\ud559\uc774 \uc5b4\ub5a0\ud55c \ud559\ubb38\uc774\ub2e4\ub294 \uac78 \uc124\uba85\ud560 \uc218 \uc788\uc744 \ub4ef \uc2f6\uc2b5\ub2c8\ub2e4. \uc218\ud559\uc740 \ucca0\uc800\ud788 \uc778\uac04\uc758 \ud559\ubb38\uc774\ub77c\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uc778\uac04\uc744 \uc704\ud55c \ud559\ubb38\uc774 \uc544\ub2c8\ub77c, \uc778\uac04\uc774 \ub9cc\ub4e0, \uc778\uac04\ub9cc\uc774 \uac00\uc9c4, \uc778\uac04\ub9cc\uc774 \uc774\ud574\ud558\ub294 \ud559\ubb38\uc774\ub77c\ub294 \ub9d0\uc785\ub2c8\ub2e4. \ubb3c\ub860 \uc5b4\ub5a4 \uba74\uc5d0\uc11c\ub294 \uc778\uac04\uc744 \uc704\ud55c \ud559\ubb38\uc77c \uc218\ub3c4 \uc788\uaca0\uc9c0\uc694. \uc0b6\uc744 \uc601\uc704\ud558\ub294 \ub370 \ud544\uc694\ud55c \uae30\uc220\uc801\uc778 \uce21\uba74\uc5d0\uc11c \uacfc\ud559\uc774 \ud1a1\ud1a1\ud788 \ub3c4\uc6c0\uc774 \ub418\uace0 \uc788\ub294 \ud604\uc2e4 \uc55e\uc5d0\uc11c \ub9d0\uc785\ub2c8\ub2e4. \ud5cc\ub370 \ubb38\uc81c\ub294 \uc774\uac83\uc774 \uc778\uac04\uc744 \uc704\ud558\ub294 \uce21\uba74\uc774 \uaf2d \uc778\uac04\uc744 \uc704\ud558\ub294 \uba74\uc73c\ub85c\uba74 \uc138\uc0c1\uc774 \ub3cc\uc544\uac00\uc9c0 \uc54a\ub294\ub2e4\ub294\ub370 \uc788\uc2b5\ub2c8\ub2e4. \ub113\uac8c \uc790\uc5f0(\u81ea\u7136)\uc744 \uc0dd\uac01\ud560 \ub54c \uc778\uac04\ub9cc\uc744 \uc704\ud568\uc774 \uc5b4\ub5a0\ud55c \ud070 \uc7ac\uc559\uc73c\ub85c \uc778\uac04\uc5d0\uac8c \ub3cc\uc544\uc62c\uc9c0 \ubaa8\ub978\ub2e4\ub294\ub370 \uc788\ub2e4\ub294 \uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc0b6\uc73c\ub85c\uc758 \ud658\uc6d0 \uc6b4\uc6b4\ud588\ub358 \uac83\uc740 \ubcf4\ud3b8\ud654(naive universalization)\ub97c, \uc218\ud559\uc774 \ucca0\uc800\ud788 \uc778\uac04\uc758 \ud559\ubb38\uc774\ub77c\uace0 \uc0dd\uac01\ud55c\ub2e4\uace0 \ub9d0\ud588\ub358 \uac83\uc740 \uc77c\ubc18\ud654(axiomatic generalization)\ub97c \uac70\ucce4\ub358 \uac83\uc785\ub2c8\ub2e4. \ubaa8\ub450 \ub2f5\ub2f5\ud558\uae30\ub9cc \ud569\ub2c8\ub2e4. <\/p>\n<p> \ud558\uc9c0\ub9cc \uc218\ud559\uc744 \uc0dd\uac01\ud558\uace0 \uacc4\uc2e0 \uac70\uc758 \ubaa8\ub4e0 \ubd84\ub4e4 \uc2e0\uc758 \uc601\uc5ed\uc5d0\uc11c \uc218\ud559\uc744 \uac00\uc9c0\uace0 \uba4b\uc9c0\uac8c \uc6b4\uc6a9\ud558\uace0\ub9cc \uc788\ub294 \uac83 \uac19\uc9c0\ub9cc, \uc0b6\uc758 \ubb38\uc81c\uc5d0\ub294 \ub298 \uc778\uac04\uc778 \ubc18\uc0ac\ud68c\uc801\uc774\uc9c0 \uc54a\uc740 socialists \ub77c\ub294 \ubbff\uc74c\uc774 \uc788\uc2b5\ub2c8\ub2e4. (\ubbff\uc74c\uc740 \uacbd\ud5d8\uacfc \uad00\ub828\uc774 \ub9ce\uc2b5\ub2c8\ub2e4.) \ub2e4\uc2dc \ub9d0\ud558\uba74 \uc218\ud559\uc73c\ub85c \uc138\uc0c1\uc744 \uc124\uba85\ud560 \uc218 \uc5c6\ub2e4\ub294 \ubbff\uc74c\uc774 \uc788\ub2e4\ub294 \ub9d0\uc785\ub2c8\ub2e4&#x2026; <\/p>\n<p> <b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b>*<\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b> \uc8fc\uc81c\ub97c \uc544\uc8fc \uc544\uc8fc \uc881\ud600 \uc0dd\uac01\ud574\ubcf4\ub294 \uac83 \uc0c8\uc0bc \uc218\ud559\uc744 \uc544\ub984\ub2f5\uac8c \ud558\ub294 (\uc2ec\ubbf8\uc801 aesthetic \uc778 \uac10\uc815\uc744 \ubd88\ub7ec\uc77c\uc73c\ud0a4\ub294) \uc5b4\ub5a4 \ud798\uc774 \ub290\uaef4\uc9c4\ub2e4\ub77c\uace0 \ub9d0\ud558\uace0 \uc2f6\uc2b5\ub2c8\ub2e4. \ube44\ub2e8 \uc218\ud559\ubfd0 \uc544\ub2c8\ub77c \uacfc\ud559\ub3c4 \ub9c8\ucc2c\uac00\uc9c0\uad6c\uc694. \ubb3c\ub9ac\uacfc \uc218\uc5c5\uc5d0\uc11c \ubc1c\ud45c\uc8fc\uc81c\ub97c \uc815\ud560 \ub54c &#8216;\uc5f4\uc774\ub780 \ubb34\uc5c7\uc778\uac00&#8217;\ub97c \uc815\ud588\ub2e4\uac00 \ud638\ub418\uac8c \uafb8\uc911\ub97c \ub4e4\uc5c8\ub358 \uae30\uc5b5\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc81c\uac00 \uc694\uc998 \uc8fc\uc81c\ub97c \uc544\uc8fc \uc544\uc8fc \uc881\ud600 \uc0dd\uac01\ud574\ubcf4\ub294 \uac83\uc5d0 \ub300\ud55c \uc5b4\ub5a4 \ub9e4\ub825\uc744 \ub290\ub07c\uace0 \uc788\ub2e4\uace0\ub098 \ud560\uae4c\uc694? ^^ <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \uc4f8\ub370\uc5c6\uc9c0 \uc54a\uc740 \ub2f5\ub2f5\ud568\uc5d0 \ub300\ud574&#x2026; \uc5d0 \ub300\ud574&#x2026; <\/p>\n<p> \uc74c \uc5b4\ub824\uc6b4 \uae00\uc774\uad70\uc694. \ubb34\uc2a8 \ub9d0\uc778\uc9c0 \ud1b5&#x2026; <\/p>\n<p> \uadf8\ub0e5 \ub290\ub08c\ub9cc\uc73c\ub85c \uae00\uc744 \uc501\ub2c8\ub2e4. \ub0b4 \uc0dd\uac01\uc5d0 \ub3d9\uc591\uc774\ub098 \uc11c\uc591\uc774\ub098 \uc0ac\ub78c\ub4e4\uc774 \uc6d0\ud558\ub294 \uac83\uc740 \ubaa8\ub450 \ud55c\uac00\uc9c0\ub77c\ub294 \uc0dd\uac01\uc774 \ub4ed\ub2c8\ub2e4. \ubc29\ubc95\ub860\uc774 \ub2e4\ub974\uace0 \uac00\uce58\uad00\uc774 \ub2e4\ub974\uace0 \ud574\uc11c \uc5ec\ub7ec \uac00\uc9c0\ub85c \ub2ec\ub9ac \ubcf4\uc774\uae30\ub294 \ud558\uc9c0\ub9cc&#x2026; <\/p>\n<p> \uc0ac\ub78c\ub4e4\uc740 \uadfc\ubcf8\uc801\uc73c\ub85c \uc790\uc2e0\uc774 \uc65c \uc874\uc7ac\ud558\ub294\uac00, \ubb34\uc5c8\uc744 \uc65c \ud558\uc5ec\uc57c \ud558\ub294\uac00, \uc640 \uac19\uc740 \ubb3c\uc74c\uc5d0 \ub2f5\ud558\uace0 \uc2f6\uc5b4\ud569\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uc0ac\uc2e4 \uc774\uc640 \uac19\uc740 \ubb34\uc791\uc815\uc758 \uc9c8\ubb38\uc740 \uad81\uadf9\uc801\uc778 \ub2f5\uc744 \uac16\uace0 \uc788\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.(\uc801\uc5b4\ub3c4 \uc5b8\uc5b4\ub85c \ub41c \ub2f5\uc740 \uc5c6\uc9c0\uc694) \uc5ec\uae30\uc11c \ub3d9\uc11c\uc591\uc758 \ubc29\ubc95\ub860\uc758 \ucc28\uc774\uac00 \ub098\ud0c0\ub0a9\ub2c8\ub2e4. <\/p>\n<p> \ub3d9\uc591\uc5d0\uc11c\ub294 \uc5b8\uc5b4\ub97c \uc368\uc11c \ud574\uacb0\uc774 \uc548\ub41c\ub2e4\ub294 \uac83\uc744 \uc54c\uace0 \uc5b8\uc5b4\ub97c \uc4f0\uc9c0 \uc54a\ub294 \ubc29\ubc95\uc744 \ubaa8\uc0c9\ud588\uc2b5\ub2c8\ub2e4. \ub9e4\uc6b0 \ud615\uc774\uc0c1\ud559\uc801\uc73c\ub85c \uadf8\ub9ac\uace0 \ube44\uc720\uc801\uc73c\ub85c \uae68\ub2ec\uc74c(?)\uc5d0 \ub300\ud558\uc5ec \ub9d0\ud558\ub294 \uac83 \uac19\uc2b5\ub2c8\ub2e4. \uc774\ub7ec\ud55c \ubc29\ubc95\uc740 \uc218\ud559, \uacfc\ud559\uacfc \uac19\uc740 (\uc5b8\uc5b4\uc801) \uc5c4\ubc00\uc131(?), \uc815\ud655\uc131\uc740 \uc5c6\uc9c0\uc694. <\/p>\n<p> \uc11c\uc591\uc5d0\uc11c\ub294 \uc5c4\ubc00\uc131\uc744 \ubc84\ub9b4 \uc218 \uc5c6\ub2e4\ub294 \uc0dd\uac01\uc5d0\uc11c \uad81\uadf9\uc758 \ub2f5\uc5d0 \uac08 \uc218 \uc5c6\uc5b4\ub3c4 \uc54c \uc218 \uc788\ub294\ub370 \uae4c\uc9c0\ub9cc\uc774\ub77c\ub3c4 \uc54c\uc544\ubcf4\uc790 \ub77c\ub294\uc2dd\uc758 \ud0dc\ub3c4\ub97c \uacac\uc9c0\ud558\ub294 \uac83 \uac19\uc544\uc694. \uadf8\ub798\uc11c \uc804\uc81c\uac00 \uc5c6\ub294 (\ucca0\ud559\uc801)\uc9c8\ubb38\uc5d0 \ub2f5\ud558\ub824\ub294 \uac83\uc744 \ud3ec\uae30\ud558\uace0 \uc804\uc81c\uac00 \uc788\ub294 \ubb3c\uc74c(\uc218\ud559\uc801 \ubb3c\uc74c)\uc5d0\ub9cc \ub2f5\ud558\ub418 \uc804\uc81c\ub97c \ucd5c\uc18c\ud55c\uc73c\ub85c \uc904\uc5ec\ubcf4\ub824\ub294 \ub178\ub825\uc744 \ud574 \uc654\ub2e4\uace0 \ubd05\ub2c8\ub2e4. <\/p>\n<p> \uc774 \ub450 \ubc29\ubc95\uc740, \ud558\ub098\ub294 \uc704\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c \uc544\ub798\ub85c \ub0b4\ub824\uc624\uace0 \ub2e4\ub978 \ud558\ub098\ub294 \ubc11\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c \uc704\ub85c \uc62c\ub77c\uac00\ub294 \ubc29\ubc95\uc774\uba70 \uc774 \ub458\uc740 \uc601\uc6d0\ud788 \ub9cc\ub098\uc9c0 \ubabb\ud558\ub294 \uac83\uc774\ub77c\uace0 \uc0dd\uac01\ub429\ub2c8\ub2e4. <\/p>\n<p> \uadf8\ub7fc \uc218\ud559\uc740 \uc5bc\ub9c8\ub098 paradox\uc5d0 \uc57d\ud55c\uac00? \uc218\ud559\uc774 \ud2b9\ubcc4\ud788 paradox\uc5d0 \uc57d\ud558\ub2e4\uace0 \uc0dd\uac01\ud558\uc9c0\ub294 \uc54a\uc544\uc694. \uc218\ud559\uc5d0\uc11c \uc798 \uc774\uc57c\uae30\ud558\ub294 paradox\ub4e4\uc740 \uc544\ub9c8\ub3c4 \ubaa8\ub450(?) \uc5b8\uc5b4\uac00 \uac00\uc9c0\uace0 \uc788\ub294 paradox\ub77c\uace0 \uc0dd\uac01\ud574\uc694. \uc6b0\ub9ac\uac00 \uc4f0\ub294 \uc5b8\uc5b4\uac00 \ud6c4\uc838\uc11c paradox\uac00 \uc0dd\uae30\ub294 \uac83\uc774\uae30 \ubcf4\ub2e4\ub294 \uc5b8\uc5b4\ub97c \uc0ac\uc6a9\ud55c\ub2e4\uba74 \ud56d\uc0c1 \ub9c8\uc8fc\uce60 \uc218 \ubc16\uc5d0 \uc5c6\ub294 \uac83\uc774\ub77c\uace0 \uc0dd\uac01\ub3fc\uc694. \uadf8\ub7fc \uc65c \uc218\ud559\uc5d0\uc11c\ub9cc? \uadf8\uac74 \ub2e4\ub978 \ud559\ubb38\uc740 \uadf8\ub7f0 \ubd80\ubd84\uc744 \ubcc4\ub85c \uc2e0\uacbd\uc4f0\uc9c0 \ubabb\ud558\uae30 \ub54c\ubb38\uc778 \uac83 \uac19\uc544\uc694. \uadf8\ub7f0 delicate\ud55c \ubd80\ubd84\uae4c\uc9c0 \uac00\uae30\ub3c4 \uc804\uc5d0\ub3c4 \ud574\uacb0\ud560 \ubb38\uc81c\uac00 \uc0b0\ub354\ubbf8 \uac19\uc544\uc11c \uadf8\ub7f0 \ubd80\ubd84\uc774 \uc911\uc694\ud55c\uc9c0\ub3c4 \uc798 \ubaa8\ub974\uace0 \uc788\ub294 \uac83 \uac19\uace0, \uadf8\ub798\uc11c \uc218\ud559\ub9cc\uc774 paradox\ub97c \uac00\uc9c0\uace0 \ub059\ub059\ub300\ub294 \uac83 \ucc98\ub7fc \ubcf4\uc774\ub294\uad70\uc694. <\/p>\n<p> \ud55c\ud3b8 \uc778\uac04\uc744 \uc704\ud55c \uc218\ud559\uc774 \uc778\uac04\uc5d0\uac8c \ud574\uac00 \ub420 \uc218\ub3c4 \uc788\uc9c0 \uc54a\uaca0\ub294\uac00 \ud558\ub294 \uc810\uc5d0 \ub300\ud574\uc11c\ub294 \ubb3c\ub860 yes\ub77c\uace0 \uc0dd\uac01\ud574\uc694. \uadf8\ub7ec\ub098 \uc774 \uac83\uc740 \uc218\ud559\uc774\ub098 \uacfc\ud559\uc774\ub098 \uc11c\uc591 \ud559\ubb38 \ub9cc\uc774 \uadf8\ub7f0 \uac83\uc740 \uc544\ub2d0\uac70\uc608\uc694. \ud559\ubb38\uc774 \uc778\uac04\uc744 \uc704\ud574\uc11c \uc5f0\uad6c\ub41c\ub2e4\uace0 \ud558\ub354\ub77c\ub3c4, \uc0ac\ub78c\ub4e4\uc774 \uc54c\uac8c \ub41c \ud559\ubb38 \uc790\uccb4\uc5d0\ub294 \uc120\ub3c4 \uc545\ub3c4 \uc5c6\uace0 \uac00\uce58 \uc911\ub9bd\uc801\uc778 \uc0ac\uc2e4\ub4e4\ub9cc \uc788\uc9c0\uc694. \uc120\uc545\uc740 \uadf8\uac83\uc744 \uc4f0\ub294 \uc0ac\ub78c\ub4e4\uc5d0\uac8c\uc11c \ub098\uc624\uc9c0 \ud559\ubb38 \uc790\uccb4\uc5d0 \uc788\uc9c0 \uc54a\ub2e4\ub294 \uac70\uc9c0\uc694. \uadf8\ub798\uc11c \uc881\uc740 \uc2dc\uac01\uc5d0\uc11c \uc778\uac04\ub9cc\uc744 \uc704\ud55c\ub2e4\ub294 \uac83\uc740 \uac70\uc2dc\uc801\uc73c\ub85c\ub294 \uc5bc\ub9c8\ub4e0\uc9c0 \uc778\uac04\uc744 \uc704\ud558\ub294 \uac83\uc774 \uc544\ub2d0 \uc218 \uc788\uace0, \uc815\ub9d0\ub85c \uc778\uac04\uc744 \uc704\ud558\ub824\uba74 \uc790\uc5f0 \uc548\uc5d0\uc11c \uc778\uac04\uc758 \uc704\uce58\ub97c \uc774\ud574\ud558\uace0 \uc870\ud654\ub97c \uc774\ub8e8\ub294 \uac83\uc774 \uc544\ub2c8\uba74 \uc548\ub420\uaebc\uc608\uc694. \uadf8\ub807\uc9c0\ub9cc \uc774 \ub9d0\uc774 \uad6c\uccb4\uc801\uc73c\ub85c \ubb34\uc5bc \ub9d0\ud558\ub294\uac00\ub294 \uc544\ub9c8 \uc544\ubb34\ub3c4 \ubaa8\ub974\uaca0\uc9c0\uc694. \ud559\ubb38\uc740 (\uc218\ud559\ub3c4) \uc774\uac83\uc744 \uc798 \uc54c\uace0\uc790 \ud574\uc11c \uacf5\ubd80\ud558\ub294 \uac83\uc774\ub77c\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. <\/p>\n<p> \uadf8\ub7ec\ub2c8\uae4c \ub2e8\uc21c\ud788 \ubb38\uc81c\ub97c \uc798 \ud480\uc790 \ud558\ub294 \uac83\uc740 \uc881\uc740 \uc218\ud559\ub9cc\uc73c\ub85c\ub294 \ub9e4\uc6b0 \ud6cc\ub96d\ud55c \uac83\uc774\uc9c0\ub9cc \uc778\ubb38\ud559\uc801\uc778 \uad00\uc810\uc5d0\uc11c\ub294 \ubcc4\ub85c \uc544\ub2d0 \uc218 \ubc16\uc5d0 \uc5c6\uc9c0\uc694. <\/p>\n<p> \uadf8\ub7ec\ub098 \uc778\ubb38\ud559\uc73c\ub85c\uc11c \uc218\ud559\uc744 \uc0dd\uac01\ud558\uba74 \uc544\ub9c8\ub3c4 \uc218\ub9ac \ucca0\ud559\uc744 \ubcf4\uc9c0 \uc54a\uc744 \uc218 \uc5c6\uc744\uac83\uc774\uace0, \uc774\ub7f4 \ub54c\ub294 \uc544\ub9c8 \uc11c\uc591 \ud559\ubb38\uc758 \uac70\uc758 \uc804\ubd80\ub97c \uc218\ud559\uc774\ub77c\uace0 \ubd80\ub974\uc9c0 \uc54a\uc744 \uc218 \uc5c6\ub2e4\uace0 \ubd05\ub2c8\ub2e4. \uc218\ud559 \ubb3c\ub9ac\ud559 \ub4f1\uc740 \ubb3c\ub860 \uacbd\uc81c\ud559, \uacbd\uc601\ud559, \uc5b8\uc5b4\ud559, \uc0ac\ud68c\ud559 \ub4f1\uc758 \ubaa8\ub4e0 \uac83\uc740 \uac01\uac01\uc758 \ud2b9\uc9d5\uc801\uc778 \ubc29\ubc95\ub860\uc774 \uc788\uc9c0\ub9cc, \uad6c\uccb4\uc801\uc778 \uc0ac\ub840\uc640 \uac1c\ub150\ub4e4\uc744 \ubc97\uae30\uba74 \uc774\ub4e4 \uc0ac\uc774\uc758 \uad00\uacc4 \uaddc\uba85\uc740 \uacb0\uad6d \ub17c\ub9ac\uc640 \uc218\ud559(\uc0ac\uace0\ubc29\ubc95)\uc73c\ub85c \uadc0\uacb0\ub41c\ub2e4\uace0 \ub290\uaef4\uc838\uc694. \uc774\uac83\uc774 \uc694\uc0ac\uc774 \uc11c\uc591\uc758 \ubaa8\ub4e0 \ud559\ubb38\uc774 \uc218\ud559\uacfc \ud1b5\uacc4\ud559\uc758 \ubc29\ubc95\uc744 \ub3c4\uc785\ud558\ub294 \uc774\uc720\ub77c\uace0 \uc0dd\uac01\ub429\ub2c8\ub2e4. <\/p>\n<p> \ub530\ub77c\uc11c \ud559\ubb38\uc744 \uc778\uac04\uc5d0\uac8c \ud574 \ub418\uc9c0 \uc548\uace0 \uc720\uc775\ud558\uac8c \uc0ac\uc6a9\ud558\ub294 \uac83\uae4c\uc9c0 \ub0b4\uac00 \ud574\uacb0\ud574\uc57c\uaca0\ub2e4\uba74 \ubaa8\ub4e0 \ud559\ubb38\uc744 \ub2e4 \uc54c\uac70\ub098 \ud558\uc9c0 \uc54a\uc73c\uba74 \ubd88\uac00\ub2a5\ud558\uaca0\uc9c0\uc694. \uc774\uac8c \uc548\ub3fc\uc11c \ub2f5\ub2f5\ud558\ub2e4\uba74 \ub2f9\uc5f0\ud55c \ub2f5\ub2f5\ud568\uc774\uc9c0\ub9cc \uc544\ub9c8\ub3c4 \ud574\uacb0\ucc45\uc740 \uc5c6\uc744\uc9c0\ub3c4&#x2026; \uc2e0\uc774 \uc544\ub2cc\uc774\uc0c1 \uc774 \ubaa8\ub4e0 \uac83\uc744 \ub2e4 \uc54c\uace0 \ud574\uacb0\ud560 \uc218\ub294 \uc5c6\uc9c0 \uc54a\uc744\uae4c&#x2026; <\/p>\n<p> \uadf8\ub7ec\ub098 \uc11c\uc591 \uc0ac\ub78c\ub4e4\uc740 \uc774\ub7ec\ud55c \ubb38\uc81c\uc5d0 \ub300\ud558\uc5ec \uc870\uae08\uc740 \ub35c \uc808\uc2e4\ud55c \uac83 \uac19\uc544\uc694. \ubbfc\uc8fc\uc0ac\ud68c\uc758 \uae30\ubcf8\uc774\ub150\uc778 &#8216;\uc11c\ub85c \ubbff\uace0 \uac01\uc790 \ub9e1\uc740 \uc5ed\ud560\uc744 \ucda9\uc2e4\ud788 \ud574\uc11c \uc88b\uc740 \uc0ac\ud68c\ub97c \ub9cc\ub4e4\uc790&#8217;\ub97c \ucd94\uad6c\ud55c\ub2e4\uba74, \uc5b4\ub5a4 \uc0ac\ub78c\uc740 \uc0ac\ud68c\ud559\uc744 \uacf5\ubd80\ud558\uace0 \uc5b4\ub5a4 \uc0ac\ub78c\uc740 \uc218\ud559\uc744 \uacf5\ubd80\ud574\uc11c \ud544\uc694\ud560 \ub54c \uc11c\ub85c \ub3c4\uc6b0\uba74 \ub41c\ub2e4 \ub294 \uac83\uc774 \uc11c\uc591\uc0ac\ub78c\ub4e4\uc758 \uc0dd\uac01\uc774\ub77c\uace0 \ubcf4\uc785\ub2c8\ub2e4. \ub3c8\ubc84\ub294 \ubc29\ubc95\ub3c4 \uc798 \uc54c\uace0 \uacf5\ubd80\ub3c4 \uc798 \ud558\uace0 \ub4f1\ub4f1 \ub9cc\ub2a5\ubc15\uc0ac\uac00 \uc544\ub2c8\uba74 \uc0b4\uc544\ub0a8\uc744 \uc218 \uc5c6\ub294 \uc138\uc0c1\uc774\ub77c\uace0\ub294 \uc0dd\uac01\ud558\uc9c0 \uc54a\ub294 \uac83\uc774\uc9c0\uc694.(\uc608\ub97c \ub4e4\uc5b4 \ubbf8\uad6d \uc0ac\ud68c\uac00 \uc694\uc0ac\uc774 \uc774\ub807\uac8c \ub3cc\uc544\uac04\ub2e4\uace0 \ubcf4\uc9c0\ub294 \uc54a\uc9c0\ub9cc \ubbf8\uad6d\uc5d0 \uc788\ub294 \ub3d9\uc548 \ub290\ub080 \uac83\uc740 \uadf8\uacf3\uc758 \ubcf4\ud1b5 \uc0ac\ub78c\ub4e4\uc740 \uc774\ub7f0 \ub2e8\uc21c\ud55c \uc0dd\uac01\ub9cc\uc73c\ub85c \uc798 \uc0b4\uace0 \uc788\ub2e4\ub294 \uac83\uc785\ub2c8\ub2e4.) <\/p>\n<p> \uc815\ub9d0 \ub450\uc11c\uac00 \uc5c6\uad70\uc694. \uc774 \uae00\uc740 \ubd80\ub4f1\uc2dd\uacfc \ubcc4\ubc18 \uad00\uacc4\uac00 \uc5c6\ub294 \uac83 \uac19\uc544\uc11c \uc5ec\uae30\ub2e4 \uc624\ub798 \ub458\uc9c0 \uc798 \ubaa8\ub974\uaca0\ub124\uc694. <\/p>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; \uc88b\uc740 \uae00 \uac10\uc0ac\ud569\ub2c8\ub2e4. <\/p>\n<p> \uc6b0\uc120 \uad50\uc218\ub2d8\uc774 \uc4f0\uc2e0 \uae00 \uc81c\uac00 \ubcf4\uae30\uc5d0\ub3c4 \ud3b8\ud560 \ub9cc\ud07c \uc27d\uace0 \uc798 \uc774\ud574\ud560 \uc218 \uc788\uac8c \uc4f0\uc168\uc2b5\ub2c8\ub2e4. \uc81c\uac00 \uc4f4 \uae00\uc5d0 \ub300\ud574\uc11c &#8216;\ubb34\uc2a8 \ub9d0\uc778\uc9c0 \ud1b5&#8217; \uc774\ub780 \ub9d0\uc5d0 \uaf2d KO \uc5bb\uc5b4\uba39\uc740 \ub4ef\ud55c \ub290\ub08c\uc785\ub2c8\ub2e4. ^^ \uc774\ub7f0 \uae00\uc774 \uc800\uc758 \uad6c\uc870\uc870\uc815 \ub300\uc0c1 \ucd5c\uc6b0\uc120 \uc21c\uc704\uc785\ub2c8\ub2e4. \uc790\uae30\ubd80\uc815(self-denial) \ub300\uc0c1 1\ud638\ub780 \ub9d0\uc774\uc9c0\uc694. <\/p>\n<p> \uc800\ub294 \ub298 \ubaa8\ub974\ub294 \uac83\uc774 \ub098\uc624\uba74 \ub298 \ubc11\uc904 \uce58\uace0 \ud56d\uc0c1 \uba38\ub9ac\uc5d0 \ub2f4\uc544\ub450\ub294 \uc2b5\uc131, \ub298 \uc5b8\uc5b4\ub85c \ub41c \uac83\ub4e4\uc740 \uc0b6\uc744 \ubc18\ucd94(\ub418\uc0c8\uae40\uc9c8)\ud574\ubd24\uc744 \ub54c \ub298 \ud558\ub098\uc758 \ubc29\ud3b8\uc77c \uc218\ubc16\uc5d0 \uc5c6\ub2e4\ub294 \ubbff\uc74c\uc73c\ub85c \uacf5\ubd80\ub97c \ud569\ub2c8\ub2e4. \ub610 \ub2e8\uc21c\ud558\uac8c \uc0b4\uace0 \uc2f6\uae30\ub3c4 \ud569\ub2c8\ub2e4&#x2026; <\/p>\n<p> \ud55c\uac00\uc9c0 \uc81c\uac00 \ud1b5 \ubb34\uc2a8 \ub9d0\uc744 \uc37c\ub294\uc9c0 \ubabb \uc54c\uc544\uba39\uac8c \uc368\uc11c \uadf8\ub7ac\ub358 \uac83 \uac19\uc740\ub370, \uc218\ud559\uc774 paradox\uc5d0 \uc57d\ud558\ub2e4\ub294 \uac83\uc774 \uc544\ub2c8\ub77c \ucd08\ub77c\ud558\ub2e4\ub294 \ub9d0\uc774\uc5c8\uc2b5\ub2c8\ub2e4. \uad50\uc218\ub2d8\uc774 \uc218\ud559\uc774 paradox\uc5d0 \uc57d\ud558\ub2e4\uace0 \ubc1b\uc544\ub4dc\ub9ac\uc168\uae30\uc5d0 \uc6b0\ubb38\ud604\ub2f5\uc774 \ub41c \uac83 \uac19\uc740 \ub290\ub08c\uc785\ub2c8\ub2e4. ^^; \uc81c\uac00 \ub298 \uc218\ud559\uc5d0 \ucd08\ub77c\ud568\uc744 \uac16\uace0 \uc788\ub4ef\uc774 \uc218\ud559\ub3c4 \uc5b8\uc5b4\uac00 \ub290\ub07c\ub294 paradox\uc5d0 \ucd08\ub77c\ud568\uc744 \uac00\uc9c0\uace0 \uc788\ub2e4\ub294 \ub9d0\uc774\uc5c8\uc2b5\ub2c8\ub2e4. <\/p>\n<p> \uad50\uc218\ub2d8\uc774 \ub9d0\uc500\ud558\uc168\ub358 &#8216;\ub2e8\uc21c\ud55c \uc0dd\uac01&#8217; \uc11c\uc591 \uc0ac\ub78c\ub4e4\uc758 \uc2ec\ub9ac\ud559\uc801 \ud574\uacb0\uacfc \ubc00\uc811\ud55c \uad00\uacc4\uac00 \uc788\ub294 \uac83 \uac19\uc2b5\ub2c8\ub2e4. \uc778\uac04\uad00\uacc4\ub97c \uc0dd\uac01\ud560 \ub54c \ubcf5\uc7a1\ud558\uac8c \uad00\ub150\uc801\uc73c\ub85c \ubbf8\ub85c\ub97c \uadf8\ub824\uac00\uba70 \ud55c \uc778\uac04\uc744 \ubc14\ub77c\ubcf8\ub2e4\uba74 \ud574\uacb0\ud558\ub294 \uac83\ub3c4 \ub9cc\ub9cc\uce58 \uc54a\uc744 \uac83\uc785\ub2c8\ub2e4. \uc774\ub7ec\ud55c \uc0ac\uc2e4\uc744 \uacf5\uac10\ud558\uba74\uc11c \uc2ec\ub9ac\ud559\uc801\uc778 \ud574\uacb0\ucc45\uc73c\ub85c, \uc0b6\uc758 \uc9c0\ud45c\ub85c\uae4c\uc9c0 \uc0bc\uc73c\uba74\uc11c \uc0ac\ub294 \ub4ef \ubcf4\uc774\ub2c8\uae4c\uc694. <\/p>\n<p> \uc544\uc9c1 \uc0b6\uc758 \uacbd\ud5d8\uc774 \ubd80\uc871\ud55c \uc800\uc5d0\uac8c \ud070 \uacbd\ud5d8\uc744 \uc548\uae34 \uac83 \uac19\uc740 \uae00 \uac10\uc0ac\ud569\ub2c8\ub2e4. <\/p>\n<p> \ucd08\uc2ec\uc73c\ub85c \ub3cc\uc544\uac00\uc11c \ubaa8\ub450\ub4e4 \uc990\ud1b5~~ <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; (\ud30c\uc77c) Jesen \ubd80\ub4f1\uc2dd\uc73c\ub85c\ubd80\ud130 \uc720\ub3c4\ub41c \uc0c8\ub85c\uc6b4 \ubd80\ub4f1\uc2dd\ub4e4 <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/sangbum1.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/sangbum1.hwp<\/a> <\/p>\n<p> \uc6c5\uc6a9\uc774\uac00 39\ubc88 \uae00\uc5d0\uc11c \uc81c\uc548\ud588\ub358 \ubb38\uc81c\uc5d0 \ub300\ud55c \uae00\uc785\ub2c8\ub2e4. \uace7 up!!! <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; $ a^{n-k}b^{k}+a^{k}b^{n-k}&le; a^{n}+b^{n}  $ <\/p>\n<p> \uc5b4\uc81c \uae40\uc6c5\uc6a9\uad70\uacfc \uc774\uac15\uc601\uad70\uc774 \uc815\uc131\uc744 \ub4e4\uc5ec \uc99d\uba85\ud55c \ub0b4\uc6a9\uc778\ub370 \uc694&#x2026; \uac00\ub9cc\ud788 \uc0b4\ud3b4\ubcf4\ub2c8 \uc0b0\uc220\uae30\ud558\ud3c9\uade0\uc73c\ub85c \uc544\uc8fc \uac04\ub2e8\ud558\uac8c \ud574 \uacb0\ub420 \uc218 \uc788\ub354\uad70\uc694&#x2026; <\/p>\n<p> a\uc640 b\uac00 \uc591\uc218\uc77c \ub54c <\/p>\n<p> $ a^{(n-k)\/n}b^{k\/n} &le; {(n-k)\/n}a + {k\/n}b = a $ <\/p>\n<p> $ a^{k\/n}b^{(n-k)\/n} &le; {k\/n}a + {(n-k)\/n}b = b $ <\/p>\n<p> \uc591\ubcc0\uc744 n\uc81c\uacf1\ud558\uba74, <\/p>\n<p> $ a^{n-k}b^{k}&le; a^{n}$ $ a^{k}b^{n-k}&le; b^{n}$ <\/p>\n<p> \uadf8\ub798\uc11c \uc88c\ubcc0\uacfc \uc6b0\ubcc0\ub07c\ub9ac \ub354\ud558\uba74 \ub429\ub2c8\ub2e4. <\/p>\n<p> \ubb3c\ub860 \ub4f1\ud638\uc758 \ud544\uc694\ucda9\ubd84\uc870\uac74\uc740 a=b\uac00 \ub429\ub2c8\ub2e4. <\/p>\n<p> \uc5ec\uae30\uc11c \uc880 \ub354 \uc77c\ubc18\ud654\ud558\uba74 <\/p>\n<p> \uc784\uc758\uc758 \uc591\uc758 \uc2e4\uc218 p,q\uc5d0 \ub300\ud558\uc5ec $ a^{p}b^{q}+a^{q}b^{p}&le; a^{p+q}+b^{p+q} $ <\/p>\n<p> \uc774\uac83\ub3c4 \uc704\uc640 \ub611\uac19\uc740 \ubc29\ubc95\uc73c\ub85c \uc99d\uba85\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; <\/p>\n<p> &gt; \uc5b4\uc81c \uae40\uc6c5\uc6a9\uad70\uacfc \uc774\uac15\uc601\uad70\uc774 \uc815\uc131\uc744 \ub4e4\uc5ec \uc99d\uba85\ud55c \ub0b4\uc6a9\uc778\ub370 <\/p>\n<pre class=\"example\">\n\uc694... \uac00\ub9cc\ud788 \uc0b4\ud3b4\ubcf4\ub2c8 \uc0b0\uc220\uae30\ud558\ud3c9\uade0\uc73c\ub85c \uc544\uc8fc \uac04\ub2e8\ud558\uac8c \ud574\n\uacb0\ub420 \uc218 \uc788\ub354\uad70\uc694...\n\na\uc640 b\uac00 \uc591\uc218\uc77c \ub54c\n\na^{(n-k)\/n}b^{k\/n} &lt;= {(n-k)\/n}a + {k\/n}b = a\n<\/pre>\n<pre class=\"example\">\na^{k\/n}b^{(n-k)\/n} &lt;= {k\/n}a + {(n-k)\/n}b = b\n<\/pre>\n<pre class=\"example\">\n\n<\/pre>\n<p> \uc694\uae30\uac00 \uc880 \uc774\uc0c1\ud558\uad70\uc694. \uc704 \uc2dd\uc758 \uc624\ub978\ucabd \ub4f1\ud638\uac00&#x2026;??? \uc124\uba85\uc744 \uc880 \ub354 \ud574\uc918\uc694. \uc5b4\uca4c\uba74 \uadf8\ub7ec\uc9c0 \ub9d0\uace0 \uc2dc\uc791\ubd80\ud130 a \ub300\uc2e0 a^n\uc73c\ub85c \uc2dc\uc791\ud558\uba74 \ub420\ub798\ub098? <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \ub124.. <\/p>\n<p> \ub139.. \ub418\ub124\uc694.. <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \uadf8\ub807\uad70\uc694&#x2026; \uc800\uc758 \uc2e4\uc218&#x2026; \uc774\ub807\uac8c \ud558\uba74&#x2026; <\/p>\n<p> a\uc640 b\uac00 \uc591\uc218\uc77c \ub54c, <\/p>\n<p> $ a^{(n-k)\/n}b^{k\/n} &le; {(n-k)\/n}a + {k\/n}b $ <\/p>\n<p> $ a^{k\/n}b^{(n-k)\/n} &le; {k\/n}a + {(n-k)\/n}b $ <\/p>\n<p> \uc774\ub2c8\uae4c <\/p>\n<p> $ a^{n-k}b^{k} &le; ({(n-k)\/n}a + {k\/n}b)^{n} $ <\/p>\n<p> $ a^{k}b^{n-k} &le; ({k\/n}a + {(n-k)\/n}b)^{n} $ <\/p>\n<p> \uc5ec\uae30\uc11c \uc820\uc13c \ubd80\ub4f1\uc2dd\uc744 \uc0ac\uc6a9\ud558\uba74 $  ({(n-k)\/n}a + {k\/n}b)^{n} &le; {(n-k)\/n}a^{n} + {k\/n}b^{n} $ <\/p>\n<p> $ ({k\/n}a + {(n-k)\/n}b)^{n} &le; {k\/n}a^{n} + {(n-k)\/n}b^{n} $ <\/p>\n<p> \ub530\ub77c\uc11c <\/p>\n<p> $ a^{n-k}b^{k} &lt;= {(n-k)\/n}a^{n} + {k\/n}b^{n} $ <\/p>\n<p> $ a^{k}b^{n-k} &le; {k\/n}a^{n} + {(n-k)\/n}b^{n} $ <\/p>\n<p> \uc88c\ubcc0\uacfc \uc6b0\ubcc0\ub07c\ub9ac \ub354\ud558\uba74 <\/p>\n<p> $ a^{n-k}b^{k}+a^{k}b^{n-k} &le; a^{n}+b^{n} $ <\/p>\n<p> \uc785\ub2c8\ub2e4&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc5e5?? <\/p>\n<p> \uc65c \uadf8\ub807\uac8c \uc5b4\ub835\uac8c\ud558\uc8e0? \uae40\uc601\uc6b1 \uad50\uc218\ub2d8\uaed8\uc11c \ub9d0\uc500\ud558\uc2e0\uac83\uac19\uc774 \uadf8\ub0e5 \uc0b0\uc220\uae30\ud558\ub97c a^n , b^n \uc73c\ub85c \ub193\uace0 \ud558\uba74 \ub418\ub358\ub370\uc5ec? <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \uc5e5?? <\/p>\n<p> \ud568 \ubcf4\uc5ec\uc8fc\uac8c\ub098^^ \ud22c\uba85\ud558\uac8c \ud569\uc2dc\ub2e4&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc5d0\uac8c\uac8c???? <\/p>\n<p> \ubcf4\uc5ec\ub2ec\ub77c\ub2c8\uc694? \uc774\uc0c1\ud558\ub139.. <\/p>\n<p> $ (a^n)^{(n-k)\/n)} (b^n)^{k\/n} &le; {(n-k)\/n}(a^n) + {k\/n}(b^n) $ <\/p>\n<p> $ (a^n)^{k\/n)} (b^n)^{(n-k)\/n} &le; {k\/n}(a^n) + {(n-k)\/n}(b^n) $ <\/p>\n<p> \uc774\uace0, \uc591\ubcc0\uc744 \ub354\ud558\uba74 <\/p>\n<p> $ (a^(n-k))(b^k) + (a^k)(b^(n-k)) &le; (a^n) + (b^n) $ <\/p>\n<p> \uc774 \ub418\uc790\ub098\uc5ec&#x2026; \ub4f1\ud638\uc77c \ub54c\ub294 a^n = b^n \uc77c \ub54c\uace0.. <\/p>\n<p> (\uc81c\uac00 \ud2c0\ub838\ub098\uc694?? \uc5b4\ub9ac\ub465\uc808..) <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \ub09c!! <\/p>\n<p> \uc820\uc13c\ubd80\ub4f1\uc2dd\uc744 \uc4f0\ub294 \ubc14\ub78c\uc5d0 <\/p>\n<p> $ a^{p}b^{q}+a^{q}b^{p}&le; a^{p+q}+b^{p+q} $ <\/p>\n<p> \uc758 \ubc18\ub840\uac00 \uc788\ub294 \uac83\uc73c\ub85c \uc0dd\uac01\ud588\ub2e4. 0&lt;1\uc778 \uacbd\uc6b0\uc5d0\ub294 \ub0b4 \ubc29\uc2dd\uc73c\ub860 \uc99d\uba85\uc774 \ub418\uc9c8 \uc54a\uc73c\ub2c8\uae4c&#x2026; \uc544\ubb4f\ud2bc simple\ud558\uace0 \ubcf4\uae30 \uc88b\uac8c \uc99d\uba85\uc774 \ub418\uc5c8\uad70&#x2026;^^ <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; <\/p>\n<p> f(x)=x^t (t\ub294 \uc591\uc758 \uc2e4\uc218)\ub77c \ud560 \ub54c, \uc774\uac83\uc774 x=&gt;0\uc5d0\uc11c convex \ub610\ub294 \uc120\ud615\uc774 \ub418\uae30 \uc704\ud574\uc11c\ub294 f&#8221;(x)=t(t-1)x^{t-2}=&gt;0\uc774\uc5b4\uc57c \ud569\ub2c8\ub2e4. \uadf8\ub7ec\uae30 \uc704\ud574\uc11c\ub294 t(t-1)=&gt;0 \uc989 t=&gt;1\uc774\uc5b4\uc57c \ud569\ub2c8\ub2e4. <\/p>\n<p> \uacb0\uad6d \uc704\uc758 \uc0ac\uc2e4\ub3c4 \uc99d\uba85\ub418\uae30 \uc704\ud574\uc11c\ub294 p+q=&gt;1\ub77c\ub294 \uc870\uac74\uc774 \ucd94\uac00\ub418\uc5b4\uc57c \ud569\ub2c8\ub2e4. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc720\ud55c\uac1c\uc758 \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc740 \ud2b9\uc218\ud55c \uc0b0\uc220\uae30\ud558\ubd80\ub4f1\uc2dd\uc5d0 \ubd88\uacfc\ud558\ub2e4! <\/p>\n<p> \uba3c\uc800 \uc0b0\uc220\uae30\ud558\ubd80\ub4f1\uc2dd\uc744 \ub2e4\uc2dc \uc0dd\uac01\ud574\ubcf4\uc790.(\ub450\uac1c\uc9dc\ub9ac\ub9cc) \uc784\uc758\uc758 \ub450 \uc591\uc218 x,y\uc5d0 \ub300\ud574 x+y &gt;= 2rt(xy) \uac00 \ub418\ub294 \uac83\uc774\uc9c0\ub9cc, \uc784\uc758\uc758 \ub450 \uc2e4\uc218 x,y\ub85c \ud655\uc7a5\ud55c\ub2e4\ud574\ub3c4 x^2 + y^2 &gt;= 2xy \ub85c \ud45c\uc2dc\ud560 \uc218 \uc788\ub2e4. \uc774\uac83\uc740 \ub2e4\uc2dc \uc815\ub9ac\ud558\uba74 \uc27d\uac8c (x-y)^2 &gt;= 0 \uc774 \ub41c\ub2e4. \uc989, \uc774 \uaf34\uc744 \uc0b0\uc220\uae30\ud558\ubd80\ub4f1\uc2dd\uc758 \ub450 \uac1c\uc9dc\ub9ac\ub85c \ubcf4\uc544\ub3c4 \ud070 \ubb38\uc81c\uac00 \uc5c6\ub2e4. <\/p>\n<p> \uc774\uc81c n\uac1c\uc758 \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc744 \uc0b4\ud3b4\ubcf4\uc790. <\/p>\n<p> ( {a_1}^2 + &#x2026; + {a_n}^2 )( {b_1}^2 + &#x2026; + {b_n}^2 ) &#8211; ( {a_1}{b_1} + &#x2026; + {a_n}{b_n} )^2 = SUM_{i != j} {{a_i}^2 {b_j}^2} &#8211; 2*SUM_{i != j} {a_i}{b_i}{a_j}{b_j} = SUM_{i != j} ( {a_i}{b_j} &#8211; {b_i}{a_j} )^2 = SUM_{i != j} ( {a_i}\/{a_j} &#8211; {b_i}\/{b_j} )^2 &gt;= 0 <\/p>\n<p> (\ub2e8 i != j \ub780 \ub73b\uc740 i\uac00 j\uac00 \uc544\ub2c8\ub2e4 \ub77c\ub294 \ub73b\uc774\ub2e4. \ub610, SUM\uc740 \uc2dc\uadf8\ub9c8\ub97c \ub73b\ud55c\ub2e4.) <\/p>\n<p> \uc704\uc5d0\uc11c \ub2f9\uc5f0\ud788 a_i\ub4e4\uacfc b_i\ub4e4\uc774 \ubaa8\ub450 0\uc774 \uc544\ub2c8\ub77c\ub294 \uc870\uac74\uc774 \ud544\uc694\ud558\ub2e4. \uba3c\uc800 \uc774 \uc870\uac74\uc744 \ub2ec\uace0 \uc0b0\uc220\uae30\ud558\ubd80\ub4f1\uc2dd\uc758 x\ud56d \ub300\uc2e0 {a_i}\/{a_j}\ub97c, y\ud56d \ub300\uc2e0\uc5d0 {b_i}\/{b_j}\ub97c \ub123\uc5b4\uc11c \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc744 \ub9cc\ub4e4\uc5b4 \ub0c8\ub2e4\uace0 \ubcfc \uc218 \uc788\ub2e4. \uadf8\ub7f0 \ud6c4 \ub098\uc911\uc5d0 0\uc744 \ub530\ub85c \uc0dd\uac01\ud574\ubd24\ub354\ub2c8 \uadf8\uac83\ub3c4 \ub9cc\uc871\uc774 \ub418\uc5b4\uc11c \ubc94\uc704\ub97c \ud655\uc7a5\ud588\ub2e4\uace0 \ubcfc \uc218 \uc788\ub2e4. \uc989, \uae30\ubcf8\uc801\uc73c\ub85c \ucf54\uc2dc-\uc288\ubc14\ub974\uce20 \ubd80\ub4f1\uc2dd\uc740 \uc0b0\uc220\uae30\ud558 \ubd80\ub4f1\uc2dd\uc758 \ub450\uac1c\uc9dc\ub9ac\ub97c \ud2b9\uc218\ud558\uac8c \uc801\uc6a9\ud55c \uac83\uc5d0 \ubd88\uacfc\ud558\ub2e4&#x2026; <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc9c0\uc815\ubbfc&#8221;&#8217; (\uad81\uae08\ud574\uc11c\uc5ec) <\/p>\n<p> \uc74c \uc6b0\uc120 \uc81c\uac00 \uc218\uc5c5\uc2dc\uac04\uc5d0 \ud2c0\ub838\ub358 A(n)=1\/n{a(1)+&#x2026;+a(n)}\uc774 A\ub8e8 \uc218\ub834 \ud560\ub54c, B(n)={b(1)*&#x2026;b(n)}^1\/n \uc774 \uc218\ub834 \ud558\ub290\ub0d0 \ud558\ub294 \ubb38\uc81c \uc5d0\uc11c\uc5ec&#x2026; prove\ud558\ub294 \uac8c \uc544\ub2c8\ub77c counter example \uc744 \ucc3e\uc744 \ub54c\ub294 A(n)\uc758 n \uac1c \ud56d\uc744 (\uc0ac\uc2e4\uc740 \ubb34\ud55c\uac1c\uc758 \ud56d)\uc744 fix \uc2dc\ucf1c \ub193\uace0 \uc0dd\uac01\ud574\ub450 \ub418\ub294 \uac70 \uc544\ub2cc \uac00\uc5ec?? \uadf8\ub7ec\uba74 \uc6b0\ub9ac\uac00 \uc77c\ubc18 \uc801\uc73c\ub8e8 \uc0ac\uc6a9\ud558\ub294 \uae09\uc218\uc5d0 \uad00\ud55c theorem\ub4e4\uc744 \uc0ac\uc6a9\ud560 \uc218 \uc788\uc744 \uac70 \uac19\uc740 \ub370\uc5ec&#x2026;. <\/p>\n<p> \ud760 \uadf8\ub7ec\ub2c8\uae50, \ubb34\ud55c\uac1c\uc758 a(i)\ub4e4 \uc911\uc5d0\uc11c \uc720\ud55c\uac1c \ub9cc\ud07c\uc740 [1,&#x2026;]\uc778 \uad6c\uac04\uc5d0\uc11c \ubf51\uace0 \ub098\uba38\uc9c0\ub294 (0,1)\uc778 \uad6c\uac04\uc5d0\uc11c \ubf51\uc73c\uba74, \ub610 \uadf8\ub807\uac8c \ubf51\uc740 a(i)\uc758 \uae09\uc218\uac00 \uc218\ub834 \ud558\ub294 \ud55c \uac1c\ub9cc \ucc3e\uc544\ub0b4\uba74, B(n)\uc5d0 \ub300\ud574\uc11c\ub294 ln{B(n)}\uc744 \ub2e4\uc2dc \uae09\uc218\ub85c \uc0dd\uac01\ud574\uc11c, \uc77c\ubc18 \uc801\uc73c\ub85c \uc0ac\uc6a9\ub418\ub294 \uae09\uc218\uc758 \uc218\ub834 \uc870\uac74(\uc785\uc2e4\ub860 \ub378\ud2f0)\ub97c \ub530\uc838\ubcf4\uba74 (0,1) \uc0ac\uc774\uc5d0 \ubf51\uc740 a(i)\ub4e4\uc740 ln{a(i)}\uac00 bounded \ud558\uc9c0 \uc54a\uc73c\ub2c8\uae50 ln{B(n)}\uc774 \uc218\ub834 \ud558\uc9c0 \uc54a\uc74c\uc744 \ubcf4\uc77c \uc218 \uc788\uc744 \uac83 \uac19\uc740 \ub370\uc5ec \ub610 \uadf8\ub7fc B(n)\uc740 \uc218\ub834\ud558\uc9c0 \uc54a\uad6c&#x2026;. \uadf8\ub7ec\ub2c8\uae50 \uc55e\uc5d0\uc11c \ub9d0\ud55c \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub294 \uc218\uc5f4 A(n)\ub9cc \ucc3e\uc73c\uba74 \uadf8\uac8c counter example\uc774 \ub418\ub294 \uac70 \uc544\ub2cc\uac00\uc5ec?? <\/p>\n<p> \ud760 \ub2e4\ub978\uacfc\ubaa9 \uacf5\ubd80\ud558\ub2e4\uac00 \uc7a0\uc2dc \uc0dd\uac01\ud574 \ubcf8\uac70\ub77c \ub450\uc11c\uac00 \uc5c6\uc2b5\ub2c8\ub2e4. \uc8c4\uc1a1\ud569\ub2c8\ub2e4(&#x2013;)(__) \uadf8\ub798\ub450 \uc78a\uc5b4\ubc84\ub9ac\uae30 \uc804\uc5d0 \uc368\ub193\ub294 \uac8c \uc815\ub9ac\ub450 \ub418\uad6c \uc88b\uc744 \uac70 \uac19\uc544\uc11c \uc774\ub807\uac8c \uc62c\ub9bd\ub2c8\ub2e4 \uadfc\ub370 \uc218\uc2dd \uc4f0\uae30 \uc815\ub9d0 \uc5b4\ub835\ub124\uc5ec \ud751\ud751 \uadf8\ub7fc \ub2e4\ub4e4 \uc2dc\ud5d8 \uc798 \ubcf4\uc2dc\uad6c\uc5ec \uadf8\ub7fc \uc774\ub9cc^^ <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; <\/p>\n<p> \uc6b0\uc120 \uba87 \uac00\uc9c0 \uc815\ub9ac\ub97c \ud574 \ub458\uaed8\uc694. <\/p>\n<p> \uadf8 \uba85\uc81c\uc5d0\uc11c a(n)\ub4e4\uc740 \ubb3c\ub860 fix \ub418\ub294 \uac81\ub2c8\ub2e4. <\/p>\n<p> \uadf8\ub7ec\ub098 \ubb38\uc81c\ub294, \uae09\uc218\ub85c \ubcfc \ub54c\uc758 \uac01 \ud56d\uc740 a(n)\uc774 \uc544\ub2c8\ub77c a(n)\/n\uc774\uace0 \uc774 \uac83\uc740 \ubcc0\ud55c\ub2e4\ub294 \uac70\uc9c0\uc694. <\/p>\n<p> \uadf8\ub9ac\uace0 \ub610 \ud558\ub098 ln B(n) \uc774 \uc218\ub834\ud558\uc9c0 \uc54a\uace0 &#8211; infty \ub85c \ubc1c\uc0b0\ud558\ub294 \uac83\uc740 B(n)\uc774 0\uc73c\ub85c \uc218\ub834\ud558\ub294 \ub54c \uc774\ub2c8\uae4c \uc870\uc2ec\ud574\uc57c\uaca0\uc9c0\uc694. \uc5b4\uca5c ln B(n) \uc774 \uc9c4\ub3d9 \ubc1c\uc0b0\ud558\uac70\ub098 \ud558\ub294 \uacbd\uc6b0\ub97c \ucc3e\uc544\uc57c\uaca0\uc9c0\uc694. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\ud76c\uc815&#8221;&#8217; \ud30c\uc77c\uc785\ub2c8\ub2f9. (\uac15\uc758\uc694\uc57d) <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/yooheejeong_1022.pdf\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/yooheejeong_1022.pdf<\/a> <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc6b0\uc640!!! <\/p>\n<p> \uac8c\uc2dc\ud310\uc5d0 \uc4f4 \uac83\uc740 \ubb3c\ub860\uc774\uace0 \ud55c\uae00\ub85c \uce5c \ud30c\uc77c\ubcf4\ub2e4\ub3c4 \ud6e0\uc5bc\uc52c \ubcf4\uae30 \uc88b\uad70\uc694. <\/p>\n<p> \uc55e\uc73c\ub85c \uc774\ub807\uac8c \uacc4\uc18d \uc62c\ub838\uc73c\uba74 \uc88b\uaca0\ub2e4 ^^;; <\/p>\n<p> (\uadf8\ub7f0\ub370 \uc774\ub807\uac8c \uc62c\ub9ac\ub824\uba74.. \uc2a4\uce90\ub108\uac00 \uc788\uc5b4\uc57c \ub418\ub294\uac74\uac00\uc694?) <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \uadf8\ub7ac\uad70\uc5ec. <\/p>\n<p> \uc12d\uc744 \ube7c\uba39\uc5b4\uc11c \ubb54 \uc77c\uc774 \uc77c\uc5b4 \ub0ac\ub098 \ud588\uc5c8\ub294\ub370 \uc798 \ubd24\uc2b4\ub2e4. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uac15\uc601&#8221;&#8217; \ud760.. \uc624\ub298 <\/p>\n<p> \uad6c\ud615\uc6b4 \uad50\uc218\ub2d8 \uc815\ub9d0 \uc798\uba39\uc5c8\uc2b5\ub2c8\ub2e4.. \uac10\uc0ac\uc758 \uc778\uc0ac\ub3c4 \uc81c\ub300\ub85c \ubabb\ub4dc\ub824 \uc9c0\uc1a1\ud558\uad6c\uc5ec^^ \uadf8\ub7fc&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \ud760..\uc624\ub298 &lt; \ubb58? <\/p>\n<p> \ub098 \uc5c6\ub294 \ud2c8\uc5d0 \ubb58 \uba39\uc5c8\ub098\uc694? <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \ud574\uc11d\ud559\uc2dc\uac04\uc5d0 \uba39\uc740 \uac83\uc744 \ub9d0\ud558\ub294\ub4ef.. <\/p>\n<p> \uc800\ub450 \uc798\uba39\uc5c8\uc2b5\ub2c8\ub2e4. \uc778\uc0ac\uac00 \ub2a6\uc5b4\uc11c \uc9c0\uc131 ^^ <\/p>\n<p> &#8221;&#8217;\ucd5c\uc7ac\ud76c&#8221;&#8217; \uc800\ub450&#x2026; <\/p>\n<p> \uc81c\uac00 \uc81c\uc77c \uc2e0\ub098\uac8c \ub2a6\uac8c\uae4c\uc9c0 \uba39\uc5c8\ub358 \uac83 \uac19\uc2b5\ub2c8\ub2e4 ^^ <\/p>\n<p> \uc557..\uae40\uc601\uc6b1 \uad50\uc218\ub2d8..\uc800\ud76c \ud53c\uc790 \uba39\uc5c8\uc5b4\uc694!! <\/p>\n<p> \uc800\ub294 \uc800\ubc88 \ud559\uae30\ub54c \uc77c\ubb38\uacfc \uc218\uc5c5\uc744 \ub4e4\uc5c8\uc5c8\ub294\ub370\uc694 \uadf8 \ub54c \ud559\ud68c \ud589\uc0ac\uac00 \ub05d\ub098\uace0 \uc77c\ubb38\uacfc \uad50\uc218\ub2d8\uacfc \ud559\uc0dd\ub4e4\uacfc \ub4a4\ud480\uc774\uacb8 \uc220\uc790\ub9ac\uac00 \uc788\uc5c8\uac70\ub4e0\uc694&#x2026; \uc5b4\ub9b0\uc560 \uac19\uc740 \uc0dd\uac01\uc77c\uc9c0 \ubaa8\ub974\uac9f\ub294\ub370 \uadf8\ub54c \uc77c\ubb38\uacfc \uc560\ub4e4\uc774 \uad50\uc218\ub2d8\uacfc\uc758 \uac70\ub9ac\uac00 \uc544\uc8fc \uac00\uae4c\uc6cc \ubcf4\uc5ec \uc815\ub9d0 \ubd80\ub7ec\uc6e0\uc5c8\ub294\ub370\uc694.. <\/p>\n<p> \uc774\ubc88\ud559\uae30 \ud574\uc11d\ud559 \ud2b9\uac15\uc744 \ub4e4\uc73c\uba74\uc11c..\uc73c\uc74c~ ^^ \uc77c\ubb38\uacfc\uac00 \ud558\ub098\ub3c4 \uc548\ubd80\ub7fd\ub2e4\ub294 \uc0dd\uac01\uc774 \ub4e4\uc5c8\uc5b4\uc694..\ud6c4\ud6c4~ <\/p>\n<p> &#8221;&#8217;\uac15\uc9c0\uc6d0&#8221;&#8217; \uc800\ub450&#x2026; <\/p>\n<p> \uadf8\ub54c \uc800\ub450 \uc606\uc5d0\uc11c \uba39\uace0 \uc788\uc5c8\uc5b4\uc5fc&#x2026;-.-; \ucd5c\uc724\uc11c \uad50\uc218\ub2d8 \uc624\uc168\uc744\ub54c\uae4c\uc815&#x2026; \ud5c9\uc2a4~ \uc5b4\ucc0c\ub098 \ubbfc\ub9dd\ud558\ub358\uc9c0\uc694 <b>^^<\/b> <\/p>\n<p> \uad6c\ud615\uc6b4 \uad50\uc218\ub2d8&#x2026; \uc815\ub9d0 \uc798\uba39\uc5c8\uc5b4\uc5fc&#x2026; \uc5b4\uc81c\ub294 \uc815\ub9d0 \uc81c\ub300\ub85c \uc778\uc0ac\ub3c4 \ubabb\ub4dc\ub838\ub124\uc5fc~~~ (&#x2013;)(__) \uafb8\ubc85,,, <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; (\ubb38\uc81c) -\uccab\uc9f8- <\/p>\n<p> \ub2e4\uc74c\ud56d\uc740 \uc9c0\ub09c\ubc88\ub4f1\uc758 \uc218\uc5c5\uc2dc\uac04 \ub0b4\uc6a9\uc911\uc5d0\uc11c \ub4f1\uc7a5\ud55c \uac83\uc784. <\/p>\n<p> A_n = (a_1 + a_2 + &#x2026; + a_n)\/n <\/p>\n<p> B_n = (a_1 a_2 &#x2026; a_n)^{1\/n} <\/p>\n<p> \uc6b0\ub9ac\ub294 A_n \uc774 \uc218\ub834\ud558\uba74 B_n \uc774 \uc218\ub834\ud560\uae4c \ud558\ub294 \uc9c8\ubb38\uc5d0 \ub300\ud55c \ud1a0\ub860\uc744 \ud558\uc600\ub294\ub370&#x2026;. <\/p>\n<p> \uc774\ubc88\uc758 \ubb38\uc81c\ub294 \ub2e4\uc74c\uc5d0 \ub300\ud558\uc5ec \uc0dd\uac01 \ud574\ubcf4\uace0\uc790\ud568: <\/p>\n<p> Sn = (A_1)^p + (A_2)^p + &#x2026; + (A_n)^p <\/p>\n<p> Tn = (a_1)^p + (a_2)^p + &#x2026; + (a_n)^p <\/p>\n<p> (\ubb38\uc81c) Sn \uacfc Tn \uc740 \ube44\uad50 \uac00\ub2a5\ud55c\uac00? <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; (\ud78c\ud2b8) <\/p>\n<p> p&gt;1 \uc774\uace0 C= p\/(p-1) \uc774\ub77c\uace0 \ud558\uc790. \uadf8\ub7ec\uba74 <\/p>\n<p> &#8221; Sn &lt; C^p Tn &#8221; <\/p>\n<p> \uc774\uac83\uc740 Hardy \ubd80\ub4f1\uc2dd. \uc774\uc5d0 \ub300\uc751\ud558\ub294 \uc801\ubd84 \ubd80\ub4f1\uc2dd\uc740 \ubb34\uc5c8\uc77c\uae4c\uc694? <\/p>\n<p> -\uc704\ubd80\ub4f1\uc2dd\uc758 \ud55c\uac00\uc9c0 \uc99d\uba85\uc5d0\uc11c \ub2e4\uc74c\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. <\/p>\n<p> &#8221; (A_n)^p -C (A_n)^{p-1} (a_n) &lt; [ (n-1)(A_{n-1})^p &#8211; n (A_n)^p ]\/(p-1) &#8221; <\/p>\n<p> -\uadf8\ub2e4\uc74c\uc740 \uc774\ub97c \uc751\uc6a9\ud558\uace0 Holder \ubd80\ub4f1\uc2dd\uc744 \uc368\ubcf4\uc138\uc5ec. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \ubb34\ud55c \uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc758 \uc218\ub834\uc5d0 \uad00\ud558\uc5ec <\/p>\n<p> \ud30c\uc77c \ucca8\ubd80\ud569\ub2c8\ub2e4. <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/yoosb_inf_alg_geo.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/yoosb_inf_alg_geo.hwp<\/a> <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; (\ubb38\uc81c)-\ub450\ubc88\uc9f8- <\/p>\n<p> \uc774\ubc88\uc5d0\ub294 Holder\ubd80\ub4f1\uc2dd\uc5d0 \uad00\ud55c \uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> [ (A11 + A12 + &#x2026;+ A1n)^p <\/p>\n<ul class=\"org-ul\">\n<li>(A21 + A22 + &#x2026;+ A2n)^p<\/li>\n<li>&#x2026; +(An1 + An2 + &#x2026; + Ann)^p ]^{1\/p}<\/li>\n<\/ul>\n<p> &lt; [ A11^p + A21^p + &#x2026; + An1^p ]^{1\/p} <\/p>\n<ul class=\"org-ul\">\n<li>[A12^p + A22^p + &#x2026; + An2^p ]^{1\/p}<\/li>\n<li>&#x2026; + [A1n^p + A2n^p + &#x2026; + Ann^p]^{1\/p}<\/li>\n<\/ul>\n<p> \uc784\uc744 \ubcf4\uc774\uace0 \uc774\uc5d0 \ub300\uc751\ud558\ub294 \uc801\ubd84\ubaa8\uc591\uc758 \ubd80\ub4f1\uc2dd\uc744 \uc720\ucd94\ud558\uc5ec\ub77c. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \ubb34\ud55c \uc0b0\uc220-\uae30\ud558 \ubd80\ub4f1\uc2dd\uc758 \uc218\ub834\uc5d0 \uad00\ud558\uc5ec II <\/p>\n<p> \uc99d\uba85\uc758 iii), iv)\uac00 \uc644\uc131\ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uc798\ubabb\ub41c \uc810\uc774 \uc788\uc73c\uba74 \uc9c0\uc801\ud574\uc8fc\uc138\uc5ec^^&#x2026; (\ud30c\uc77c\ucca8\ubd80) <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/yoosb_inf_alg_geo2.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/yoosb_inf_alg_geo2.hwp<\/a> <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \uc774\ub7f0\uacbd\uc6b0\ub294? <\/p>\n<p> \ub2e4\uc74c\uc744 \ub9cc\uc871\ud558\ub294 \uc591\uc758 \uc218\uc5f4 {a_n} \uc744 \uc0dd\uac01\ud574\ubd05\uc2dc\ub2e4: \uc784\uc758\uc758 \uc8fc\uc5b4\uc9c4 \uc591\uc218 x \uc5d0 \ub300\uc751\ud558\ub294 a_n\uc758 \ubd80\ubd84\uc218\uc5f4\uc774 \uc874\uc7ac\ud55c\ub2e4.(\uc774\ub7f0\uc218\uc5f4\uc774 \uc788\uae30\ub294 \ud55c\uac00\uc694?) <\/p>\n<p> \uc774 \uacbd\uc6b0\ub3c4 \uc99d\uba85\uc5d0 \ud3ec\ud568\ub418\uc5b4 \uc788\ub098\uc694? <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \uc774\ub7f0\uacbd\uc6b0\ub294? <\/p>\n<p> \uc81c \uc0dd\uac01\uc5d0\ub294 \uadf8\ub7f0 \uc218\uc5f4\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc744 \uac83 \uac19\uc544\uc694&#x2026; \uadf8\ub7f0 \uc218\uc5f4\uc774 \uc874\uc7ac\ud55c\ub2e4\uba74 \ubaa8\ub4e0 \uc591\uc758 \uc2e4\uc218\uc758 \uc9d1\ud569\uc774 countable set\uc774 \ub420\ud14c\ub2c8\uae4c\uc694&#x2026;^^ <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \uc218\uc5f4 <\/p>\n<p>    \uc720\ub9ac\uc218={ q_1, q_2, q_3,&#x2026;..} \uc218\uc5f4 {a_n}\uc774 \ub2e4\uc74c\uacfc \uac19\uc73c\uba74, a_1=q_1 a_2=q_2 a_3=q_1 a_4=q_2 a_5=q_3 a_6=q_1 a_7=q_2 a_8=q_3 a_9=q_4 &#x2026;&#x2026;.. \uc774\uc218\uc5f4\uc740 \uc784\uc758\uc758 \uc720\ub9ac\uc218\ub97c \ubb34\ud55c\ubc88 \uc9c0\ub098\uac00\ub294 \uc218\uc5f4\uc774\ub2e4. \ubb34\ub9ac\uc218\ub294 \uc720\ub9ac\uc218\uc758 \uadf9\ud55c\uc73c\ub85c \ud45c\uc2dc\ub418\ubbc0\ub85c {a_n}\uc758 \ubd80\ubd84\uc218\uc5f4\uc758 \uadf9\ud55c\uc73c\ub85c \ud45c\uc2dc\uac00\ub2a5\ud558\ub2e4.(\ubb3c\ub860 a_n\uc774 \ubb34\ub9ac\uc218 r\uc5d0 \ucda9\ubd84\ud788 \uac00\uae5d\uac8c\ub294 \ud560\uc218 \uc788\uc9c0\ub9cc a_n\uc790\uccb4\ub294 \uc720\ub9ac\uc218\uc784) <\/p>\n<p> \ub610\ud55c countable\uc5d0 \uad00\ud55c \uc774\uc57c\uae30\ub97c \ubcf4\uba74, \uc704 \uc218\uc5f4\uc758 \ubd80\ubd84\uc218\uc5f4 \uc9d1\ud569\uc740 uncountable \uc774\ub2e4. <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \ucc38\uace0 <\/p>\n<p> \uc8fc\uc5b4\uc9c4 \uba85\uc81c\uac00 \ud56d\uc0c1 \ucc38\uc778 \uac83\uc740 \uc544\ub2d8. <\/p>\n<p> 0&lt; a_n &lt;1 \ub77c\uace0 \ud558\uba74 <\/p>\n<ol class=\"org-ol\">\n<li>\uae09\uc218 &#8220;lambda_n a_n&#8221; \uc740 \uc218\ub834.<\/li>\n<li>\uae09\uc218 &#8220;lambda_n log(a_n)&#8221; \uc774 -1\uacfc -2\ub85c \uc9c4\ub3d9\ud558\uac8c a_n \uc744 \uc870\uc815\ud55c\ub2e4.<\/li>\n<\/ol>\n<p> \uadf8\ub7ec\uba74 \uae30\ud558\ud3c9\uade0 \ucabd\uc740 1\/e \uc640 1\/e^2 \ub85c \uc9c4\ub3d9\ud55c\ub2e4. <\/p>\n<p> \ub530\ub77c\uc11c \uba85\uc81c\uac00 \uc131\ub9bd\ud558\ub294 \uc801\ub2f9\ud55c \uc870\uac74\uc744 \ucc3f\ub294 \uac83\uc774 \uc633\uc744\ub4ef. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc9c0\uc815\ubbfc&#8221;&#8217; (\uc9c8\ubb38)\uad50\uc218\ub2d8 \uc81c \uba54\uc77c \ubabb \ubc1b\uc73c\uc168\ub098\uc694?? (\ud30c\uc77c) \ub35b\ubd99\uc784 <\/p>\n<p> \uae40\uc601\uc6b1 \uad50\uc218\ub2d8 \uc81c\uac00 \uae08\uc694\uc77c\uc5d0 \uac15\uc758 \uc694\uc57d \ud55c \ud654\uc77c\uc744 \uba54\uc77c\ub85c \ubcf4\ub0c8\ub294 \ub370 \ubabb \ubc1b\uc73c\uc168\ub098\uc694?? \uc5b4\uc81c \uc0c8\ubcbd\uc5d0\ub450 \ub2e4\uc2dc \ub450\ubc88 \ub354 \ubcf4\ub0c8\ub294\ub370\uc694 \ud760 \ubabb\ubc1b\uc73c\uc2e0 \uac70 \uac19\uc544\uc11c \uac71\uc815\uc774 \ub418\ub124\uc694 \ub2e4\uc2dc \ud55c\ubc88 \ub354 \ubcf4\ub0b4\uaca0\uc2b5\ub2c8\ub2e4. \ubb50\uac00 \uc798 \ubabb \ub41c \uac74\uc9c0 \uc798 \ubaa8\ub974\uaca0\ub124\uc5ecT.T <\/p>\n<p> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/1.jpg\" alt=\"1.jpg\" \/> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/2.jpg\" alt=\"2.jpg\" \/> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/3.jpg\" alt=\"3.jpg\" \/> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/4.jpg\" alt=\"4.jpg\" \/> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/5.jpg\" alt=\"5.jpg\" \/> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/6.jpg\" alt=\"6.jpg\" \/> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/7.jpg\" alt=\"7.jpg\" \/> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/8.jpg\" alt=\"8.jpg\" \/> <img decoding=\"async\" src=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/jijm\/view_submsg.jpg\" alt=\"view_submsg.jpg\" \/> <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; (\uc9c8\ubb38) \uad50\uc218\ub2d8 \uc81c \uba54\uc77c \ubabb \ubc1b\uc73c\uc168\ub098\uc694?? <\/p>\n<p> \uae08\uc694\uc77c \ud30c\uc77c\uc740 \uc548\uc654\uc9c0\ub9cc\uc694&#x2026; \uadf8 \ub2e4\uc74c \uac83\ub4e4\uc740 \uc798 \uc654\uc5b4\uc694. \uc544\uc9c1 \uc62c\ub9ac\uc9c0\ub294 \uc54a\uc558\ub294\ub370&#x2026; <\/p>\n<p> \uadfc\ub370 \uc9c0\ub09c\ubc88\uc5d0 scan\ud55c \ud30c\uc77c\ub4e4\uc744 pdf\ub85c \ubb36\uc740 \uac83 \uc5b4\ub5bb\uac8c \ud55c\uac70\uc608\uc694? \uc774\ubc88\uc5d0 \uc9c0\uc815\ubbfc\uc774 \ud30c\uc77c\uc740 \uc5ec\ub7ec\uac1c\uc758 jpg  \ud30c\uc77c\uc778\ub370 \uadf8\ub0e5 \uc62c\ub9ac\uae30\ub294 \uc880 \ub09c\uc0bd\ud574\uc11c\ub9ac&#x2026; <\/p>\n<p> \uadf8\ub7fc \uc88b\uc740 \uc870\uc5b8 \ubd80\ud0c1\ud574\uc5ec~~~ <\/p>\n<p> &#8221;&#8217;\uc9c0\uc815\ubbfc&#8221;&#8217; <\/p>\n<p> \uc804\ubd80 9\uac1c\uc758 page\uc785\ub2c8\ub2e4. \uc74c Q\ub77c\uad6c \uc368\uc11c \ubb38\uc81c \uc2dc\uc791\ud558\ub294 \ubd80\ubd84\uc774 page\uc758 \uc2dc\uc791\uc774\uad6c\uc5ec, \ub610 \ub3d9\uadf8\ub77c\ubbf8 1,2 \ud558\ub294 \ubd80\ubd84\ub450 TO PAGE\uc758 \uc2dc\uc791\uc785\ub2c8\ub2e4. \ud558\ub098\uc758 \ud654\uc77c\ub85c \ubb36\uc9c0\ub294 \uc54a\uc558\ub294\ub370\uc694 <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uac15\uc601&#8221;&#8217; \uc800\uc5b4&#x2026; <\/p>\n<p> \uc548\ub155\ud558\uc138\uc694..\uae00\uc774\uacc4\uc18d\uc5c6\uad70\uc5ec..\uc74c.. \uc120\ub3002\uc12d\ub4e3\ub294\ubd84\ub4e4\ub9ce\ub358\ub370.. \ub2e4\ub4e4\uc798\ubcf4\uc168\ub294\uc9c0\ubaa8\ub974\uaca0\ub124\uc694&#x2026; \uc164\ub54c\ubb38\uc778\uc9c0\uae00\uc774\uc5c6\uae34\ud588\uc9c0\ub9cc.. \uc74c.. \uc554\ud134\uc774\uc81c\uc640\uc11c\uad81\uae08\ud55c\uac74..\ub0bc\uc740\uba38\uc5d0\ub300\ud574\uc11c \uc598\uae30\ud558\ub294\uac74\uc9c0..\uc74c\ud639\uc544\uc2dc\ub294\ubd84\uc788\uc74c\uc54c\ub824\uc8fc\uc138\uc694.. \uadf8\ub0e5\uc800\ubc88\ucc98\ub7fc\ud558\uac8c\ub418\ub294\uac74\uc9c0&#x2026;. <\/p>\n<p> ps\uc804\uc164\ub05d\ub098\uace0\ubb34\ub9ac\ud55c\uc6b4\ub3d9\uc73c\ub85c\uc778\ud55c\ud734\uc720\uc99d\uc73c\ub85c\ud558\ub8e8\uc885\uc77c\uc9d1\uc5d0\uc11c \ube4c\ube4c\uac70\ub9ac\uace0\uc788\ub2f5\ub2c8\ub2e4\ub2e4\ub35c\ubab8\uc870\uc2ec!! <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; (\ubb38\uc81c) \uc0c8\ub85c UPDATED -&gt; \uc774\ub7f0\uac70 \ud574\ubcf4\uc8e0 \ubb50^^ <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/ineq01.pdf\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/ineq01.pdf<\/a> <\/p>\n<p> version 2K1.1112 \uc785\ub2c8\ub2e4. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc548\ucc3d\ud638&#8221;&#8217; \uac15\uc758\uc694\uc57d \ud30c\uc77c <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/Let_anchangho.pdf\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/Let_anchangho.pdf<\/a> <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc7a5\uc0c1\uc6b4&#8221;&#8217; \uc218\ud559\uacbd\uc2dc\ub300\ud68c \ubd80\ub4f1\uc2dd\ubb38\uc9c0 <\/p>\n<p> \uc218\uc5f4{a_k}\uc774 \uc11c\ub85c \ub2e4\ub978 \uc591\uc758 \uc815\uc218\uc77c \ub54c, a_1\/1 + &#x2026; +a_n\/n^2 &gt;= 1\/1 + &#x2026; +1\/n \uc774 \uc131\ub9bd\ud55c\ub2e4. <\/p>\n<p> \uc99d\uba85) min{a_1\/1 + &#x2026; <del>a_n\/n^2}=b_1\/1<\/del> &#x2026;+b_n\/n^2 \uc774\ub2e4. \uc5ec\uae30\uc11c \uc218\uc5f4 {b_k}\ub294 {a_k}\ub97c b_1&lt; b_2 .. &lt; b_n \uc774 \ub418\ub3c4\ub85d \uc7ac\ubc30\uc5f4\ud55c \uac83\uc774\ub2e4. -&#x2014;(1) \uc218\uc5f4 {a_k}\ub294 \uc11c\ub85c \ub2e4\ub978 \uc591\uc758 \uc815\uc218\uc774\ubbc0\ub85c 1&lt;= b_1&lt;&#x2026;&lt; b_n \uc774\ub2e4. \ub530\ub77c\uc11c b_k &gt;= k \uc774\ub2e4 <\/p>\n<p> a_1\/1 + &#x2026; +a_n\/n^2 &gt;= b_1\/1 + &#x2026; + b_n\/n^2 &gt;= 1\/1^2 + &#x2026; + n\/n^2 = 1\/1 + &#x2026; + 1\/n (1)\ubd80\ubd84\uc744 \uc804 \uc9c1\uad00\uc801\uc73c\ub85c \uc804\uac1c\ud588\ub294\ub370 \uad6c\ud615\uc6b4 \uad50\uc218\ub2d8\uaed8\uc11c \uc815\ud655\ud788 \uc99d\uba85\ud558\ub77c\uace0 \ud558\uc168\uc2b5\ub2c8\ub2e4. \uadf8\ub798\uc11c induction\uc744 \uc774\uc6a9\ud574 \ubd24\uc2b5\ub2c8\ub2e4.\ub2e8,\uc218\uc5f4{a_k}\uc774 \uc11c\ub85c \ub2e4\ub978 \uc591\uc758 \uc815\uc218\ub77c\ub294 \uc870\uac74\uc5d0\uc11c \ud569\ub2c8\ub2e4. n=2\uc778 \uacbd\uc6b0\ub294 \uc790\uba85\ud569\ub2c8\ub2e4. n=k-1 \uc77c \ub54c\uc5d0\ub3c4 \ucc38\uc774\ub77c\uace0 \uac00\uc815\ud569\ub2c8\ub2e4. \uc218\uc5f4 {b_k}\ub294 {a_k}\ub97c b_1&lt; b_2 .. &lt; b_k \uc774 \ub418\ub3c4\ub85d \uc7ac\ubc30\uc5f4\ud55c \uac83\uc774\ub77c\uace0 \uac00\uc815\ud569\uc2dc\ub2e4. min{a_1\/1 + &#x2026; <del>a_k\/k^2} = min{a_1\/1<\/del>&#x2026;+a_(k-1)\/(k-1)^2} + min{a_k\/k^2} &#x2014;(2) = min{a_1\/1+&#x2026;+a_(k-1)\/(k-1)^2} + b_k\/k^2 = b_1\/1+&#x2026;+b_(k-1)\/(k-1)^2 + b_k\/k^2 &#x2014;(3) <\/p>\n<p> (2)\ubd80\ubd84\uc740 \ubaa8\ub4e0 term\ub4e4\uc774 \uc591\uc218\uc774\uae30 \ub54c\ubb38\uc774\uace0 (3)\ubd80\ubd84\uc740 induction\uc758 \uac00\uc815\ub54c\ubb38\uc785\ub2c8\ub2e4. <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; \uc774\ubd80\ubd84\uc774&#x2026; <\/p>\n<p> &#x2014;(2) \ubd80\ubd84\uc758 \ub4f1\uc2dd\uc774 \uc880 \uc774\ud574\uac00 \uc548\uac00\ub294\ub370&#x2026; \uc6b0\uc120 \uac70\uae30\uc5d0\uc11c <\/p>\n<ol class=\"org-ol\">\n<li>min{&#x2026;.}\uc758 \uc758\ubbf8\uac00 \ubb34\uc5c7\uc778\uc9c0.<\/li>\n<li>\uc77c\ubc18\uc801\uc73c\ub85c min{A+B+C+D}&gt; min{A+B} + min{C+D} \ub4f1\uc73c\ub85c<\/li>\n<\/ol>\n<p> \ub418\ub294\ub370(\ubb3c\ub860 \ubb34\uc5c7\uc758 min{&#x2026;}\uc774\ub0d0\uc5d0 \ub530\ub77c \ub2e4\ub974\uc9c0\ub9cc)&#x2026; \uc5ec\uae30\uc5d0 \uad00\ud55c \ubcf4\ucda9\uc124\uba85\uc744 \ud574\uc8fc\ub358\uc9c0 \uc544\ub2c8\uba74 \uc99d\uba85\uc744 \uc218\uc815\ud574\uc8fc\ub358\uc9c0 \ud574\uc57c\ub294 \uac8c \uc544\ub2cc\uac00 \uc2f6\ub124\uc694. <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc548\ub2e4\ub2c8\uc5d8&#8221;&#8217; \uc548\ub155\ud558\uc138\uc694. <\/p>\n<p> 92\ud559\ubc88 \uc548\ub2e4\ub2c8\uc5d8\uc785\ub2c8\ub2e4. \uc6b0\uc5f0\ud788 \uae40\uc601\uc6b1\uad50\uc218\ub2d8 \ud648\ud398\uc774\uc9c0\uc5d0 \ub4e4\ub800\ub2e4\uac00 \uc54c\uac8c\ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uc88b\uc740 \uac8c\uc2dc\ud310\uc774\uad70\uc694. <\/p>\n<p> \uc804 \uc5ec\uae30 \uc2a4\ud1a0\ub2c8\ube0c\ub8e9\uc5d0\uc11c \uc798 \uc9c0\ub0b4\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uac00\ub054 \ub4e4\ub7ec\uc11c \ubb38\uc81c \ub0b4\ubd10\ub3c4 \ub420\uae4c\uc694? <\/p>\n<p> &#8221;&#8217;\uc720\uc0c1\ubc94&#8221;&#8217; \uc548\ub155\ud558\uc138\uc694 <\/p>\n<p> \uc798 \uc9c0\ub0b4\uad6c \uacc4\uc2dc\ub294\uad70\uc694&#x2026;^^ \uc548\uadf8\ub798\ub450 \ud55c\ub3d9\uc548 \uc0c8\ub85c\uc6b4 \ubb38\uc81c\uac00 \uc5c6\uc5b4\uc11c \ubaa9\uc774 \ub9d0\ub790\uac70\ub4e0\uc694&#x2026; \uadf8\ub798 \uc8fc\uc2e0\ub2e4\uba74 \uace0\ub9c8\uc6b8 \ub530\ub984\uc785\ub2c8\ub2e4&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uadf8\uac04 \ubc14\uc05c \uad00\uacc4\ub85c.. \u315c\u315c <\/p>\n<p> \ucef4\ud130 \ud2c0 \uc2dc\uac04\uc774 \uc5c6\uc5c8\uc2b5\ub2c8\ub2e4. \uc9c0\uc131 \uc5b4\uca0c\ub4e0 \uc624\ub7ab\ub9cc\uc5d0 \ub4e4\uc5b4\uc640\ubcf4\ub2c8\uae4c \ub2e4\ub2c8\uc5d8 \ud615\uc774 \uc624\uc168\uc5c8\uad70\uc694. \uc2a4\ud1a0\ub2c8\ubd80\ub8e9? \uc778\uac00 \uad6c\uac70 \ubb50\uc8e0? \u3161\u3161; \uc124\uba85\ud574\uc8fc\uc138\uc694 ^^ <\/p>\n<p> \uc544 \uae00\uad6c \ubb38\uc81c (\uc815\ub9d0 \uc774\uc0c1\ud558\uac8c\ub3c4) \uc758\uc678\ub85c \uc548\ud480\ub9ac\ub354\uad70\uc694.. \uc0bc\uac01\ud615\uc5d0 \uad00\uacc4\ub41c \ubb38\uc81c\ub9cc \uac74\ub4dc\ub9ac\uace0 \uc788\ub294\ub370 (\ub2e4\ub978 \ubb38\uc81c\ub3c4 \uc880 \ud480\uc5b4\ubcfc\uae4c\ub098..) <\/p>\n<p> \uc544.. \uae00\uad6c \uc0c1\ubc94\uc774\ud615 \ubb38\uc81c\uac00 \uc5c6\ub2e4\ub2c8\uc694.. \ud504\ub9b0\ud2b8\uc5d0 \ucca0\ucca0\ucca0 \ub118\uccd0\ub098\ub294\uad6c\ub9cc ^^ <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \uc548\ub155\ud558\uc138\uc694. <\/p>\n<p> \uac8c\uc2dc\ud310\uc774 \uc7a0\uc2dc \uc870\uc6a9\ud55c \ud2c8\uc5d0 \ub2e4\ub2c8\uc5d8\uc774 \uc654\ub2e4 \uac14\uad70\uc694. \uc2ec\uc2ec\uce58 \uc54a\uac8c \ubb38\uc81c\ub450 \ub0b4 \uc8fc\uba74 \uc88b\uace0, \ub610 \uc2a4\ud1a0\ub2c8.. \uc5d0\uc11c \uc0dd\ud65c\ub3c4 \uc774\uc57c\uae30\ud574\uc8fc\uba74 \ud6c4\ubc30\ub4e4\uc5d0\uac8c \ud65c\ub825\uc18c\uac00 \ub418\uaca0\ub124\uc694. <\/p>\n<p>  \uadf8\ub7fc \uacf5\ubd80 \uc798\ud558\uace0&#x2026;(!)  \ub274\uc695\uc774\ub2c8 \ubab8\uc870\uc2ec\ud558\uace0&#x2026;(\ube44\ud589\uae30 \ud0c0\uad6c \ub3cc\uc544\ub2e4\ub2c8\uc9c0 \ub9d0\uace0^^)  \uc774 \uac8c\uc2dc\ud310 \ub2eb\uc544\ub450 \ub2e4\ub978 \uac8c\uc2dc\ud310 \uc5f4\ud14c\ub2c8\uae4c \uc790\uc8fc \ub180\ub7ec \uc640\uc694. &#x2014; &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; (\ubb38\uc81c) \uc0dd\uac01\ud560 \uc810 \ud558\ub098 <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/nb03.pdf\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/nb03.pdf<\/a> <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; \ud30c\uc77c \uc62c\ub824\uc90c\ub2c8\ub2e4. <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/AnQ_leekyungil.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/AnQ_leekyungil.hwp<\/a> <\/p>\n<hr \/>\n<p> &#8221;&#8217;\ubc30\uc724\ud55c&#8221;&#8217; \ud30c\uc77c \uac15\uc758\uc694\uc57d\uc785\ub2c8\ub2e4. <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/lecture_1112.pdf\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/lecture_1112.pdf<\/a> <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uc885\ud601&#8221;&#8217; \ud30c\uc77c \uac15\uc758\uc694\uc57d\uc785\ub2c8\ub2f9 <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/lecture(11_19).hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/lecture(11_19).hwp<\/a> <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; 64, 65 \ubc88 \ud30c\uc77c \ub2e4\uc6b4\uc774 \uc548\ub418\ub294\ub370\uc694~ <\/p>\n<p> \uc65c \uc548\ub420\uae4c~?? ^^ <\/p>\n<p> &#8221;&#8217;\uc774\uac15\uc601&#8221;&#8217; \uc798\ub429\ub2c8\ub2e4&#x2026;\uc74c..\ub0b4\uc6a9\uc5d0 \uc788\ub294\uac70 \ub9d0\uad6c download\uc5d0 \uc788\ub294\uac78 \ud074\ub9ad\ud574\ubcf4\uc2dc\uba74 \ub420\uac83 \uac19\uc740\ub514.. <\/p>\n<p> &#8221;&#8217;\uc774\uc885\ud601&#8221;&#8217; \uadf8\uac83\ub3c4 \uc798 \uc548\ub418\ub294\ub514&#x2026;64, 65 <\/p>\n<p> \ub0b4\uc6a9\uc5d0 \uc788\ub294 \uac70\ub098 \ub2e4\uc6b4\ub85c\ub4dc \ud558\ub294\ub370 \uc788\ub294\uac70\ub098 \ub2e4 \uc548\ub418\ub124\uc5ec&#x2026; <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc9c0\uc815\ubc00&#8221;&#8217; \uc74c \uc800\ub450 \uc548\ub418\ub294 \uac78\uc694-_-;; <\/p>\n<p> \ubcfc\uc218\uac00 \uc5c6\uc5b4\uc6a9 <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; (\ud30c\uc77c) \ub2e4\uc2dc\ud55c\ubc88 <\/p>\n<p> \uc9c0\ub09c \uc2dc\uac04 \ucd5c\uc724\uc11c\uad50\uc218\ub2d8\uaed8\uc11c \ub9d0\uc500\ud558\uc2e0 \ubb38\uc81c\ub97c \ub098\ub984\ub300\ub85c \uc77c\ubc18\ud654\ud574\ubcf8 \uac83\uc785\ub2c8\ub2e4. \uc544\uc9c1 \uc644\ubcbd\ud558\uac8c \uc77c\ubc18\ud654\ud558\uc9c0\ub294 \ubabb\ud588\uc9c0\ub9cc, \ub2e4\uc74c\uc2dc\uac04\uc5d0\ub294 \uad6c\ud615\uc6b4\uad50\uc218\ub2d8\uaed8\uc11c \uc81c\uc2dc\ud574\uc8fc\uc2e0 \ubb38\uc81c\ub97c \uc0dd\uac01\ud574 \ubcfc \uac83\uc774\ub2c8, \ucd5c\uc724\uc11c\uad50\uc218\ub2d8 \ubb38\uc81c\ub97c \uc0dd\uac01\ud558\uc9c0 \ubabb\ud560 \uac70 \uac19\uc544 \uc5ec\uae30\uae4c\uc9c0\ub9cc \uc62c\ub9bd\ub2c8\ub2e4. <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/note_kimuy_02.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/note_kimuy_02.hwp<\/a> <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc784\uc9c4\uc885&#8221;&#8217; [\ud30c\uc77c] 1126 \uc218\uc5c5 \uc694\uc57d\uc785\ub2c8\ub2e4. <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/lecture_1129.zip\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/lecture_1129.zip<\/a> <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc0ac\uac01\ud615\uc758 Steiner Symm\uc5d0 \ub300\ud558\uc5ec <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/phantasia03.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/phantasia03.hwp<\/a> <\/p>\n<p> &#8221;&#8217;\uad6c\ud615\uc6b4&#8221;&#8217; Mathematica\ub85c \ud55c\ubc88 \uadf8\ub838\uc73c\uba74&#x2026; <\/p>\n<p> f(t)\ub97c Mathematica\ub098 MathLab\ub4f1\uc73c\ub85c \ud55c\ubc88 \uadf8\ub824\ubd24\uc73c\uba74 \uc88b\uaca0\ub124\uc694. Mathematica\ub098 MathLab \uc0ac\uc6a9\ud560\uc904 \uc544\ub294 \uc0ac\ub78c \uc5c6\ub098\uc5ec? \uc218\ud559\uacfc \uc2e4\uc2b5\uc2e4\uc5d0 Mathematica\uac00 \uae54\ub824\uc788\ub294\uac83\uc73c\ub85c \uc54c\uace0 \uc788\ub294\ub370&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \uc5ec\uae30\uc5ec <\/p>\n<p> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/symm_rectangle.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/symm_rectangle.hwp<\/a> <\/p>\n<p> &gt; f(t)\ub97c Mathematica\ub098 MathLab\ub4f1\uc73c\ub85c \ud55c\ubc88 \uadf8\ub824\ubd24\uc73c\uba74 &gt;: \uc88b\uaca0\ub124\uc694. Mathematica\ub098 MathLab \uc0ac\uc6a9\ud560\uc904 \uc544\ub294 \uc0ac\ub78c &gt;: \uc5c6\ub098\uc5ec? \uc218\ud559\uacfc \uc2e4\uc2b5\uc2e4\uc5d0 Mathematica\uac00 \uae54\ub824\uc788\ub294\uac83\uc73c\ub85c &gt;: \uc54c\uace0 \uc788\ub294\ub370&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uadf8\ub9bc\uc744 \ubcf4\uace0 \ub098\ub2c8.. <\/p>\n<p> \uac01\ub3c4\ub294 \ub9de\uc558\ub294\ub370, \ucd5c\ub300\uac12\uc740 \ub2e4\ub974\uad70\uc694. \uc544\ub9c8 \uc81c\uac00 2\ubc30\ub97c \uc548\ud588\ub098\ubcf4\ub124\uc694.. <\/p>\n<p> (\uc815\ud655\ud788 \uacc4\uc0b0\ud588\ub2e4\uace0 \uc0dd\uac01\ud588\ub294\ub370) <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc789~ \uc774\ub7f0&#x2026; <\/p>\n<p> \ucc44\ud305\uc5d0\uc11c\ub098 \uc0ac\uc6a9\ud558\ub294 \uc544\uc774\ub514\uc778 &#8220;\ud310\ud0c0\uc9c0\uc544&#8221;\ub85c \uae40\uc601\uc6b1\uad50\uc218\ub2d8\uaed8 \uba54\uc77c\uc744 \ubcf4\ub0c8\uc5c8\ub098\ubd10\uc694.. \uc8c4\uc1a1\ud569\ub2c8\ub2e4. \uc774\uba54\uc77c \ubcf4\ub0bc \ub54c \ubcf8\uc778 \uc774\ub984\uc744 \ud655\uc778\ud558\uace0 \ubcf4\ub0c8\uc5b4\uc57c\ud588\ub294\ub370 \uc798\ubabb\ud588\ub098\ubd10\uc694&#x2026;^^ <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; [\ud30c\uc77c] \uac15\uc758\ub85d \ud30c\uc77c\ub4e4\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc62c\ub77c\uc624\ub294\ub300\ub85c \uc5ec\uae30 \uc62c\ub824\ub193\uc744\ud14c\ub2c8 \uc5c6\uc73c\uba74 \uc544\uc9c1 \uc548\uc628\uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> \uae40\uc601\uc6b1 <\/p>\n<p> \uc720\uc0c1\ubc94: <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/sangbum.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/sangbum.hwp<\/a> \uae40\uc6c5\uc6a9: <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/kimungyong_0910.zip\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/kimungyong_0910.zip<\/a> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/kimungyong_self.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/kimungyong_self.hwp<\/a> \uc774\uacbd\uc77c: <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/kilee.zip\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/kilee.zip<\/a> \ucd5c\uc7ac\ud76c: <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/choijaehee.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/choijaehee.hwp<\/a> \uc548\ucc3d\ud638: <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/anchangho.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/anchangho.hwp<\/a> \uacfd\uc138\uc5f0: <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/kwackseyeon.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/kwackseyeon.hwp<\/a> \ubc30\uc724\ud55c(?): <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/chsay.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/chsay.hwp<\/a> \uc720\ud76c\uc815,\ud55c\uc218\uc815: <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/yuheejeong_hansujeong.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/yuheejeong_hansujeong.hwp<\/a> <a href=\"http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/hansujeong.hwp\">http:\/\/elie.korea.ac.kr\/~ywkim\/course1\/fin\/hansujeong.hwp<\/a> <\/p>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; (\ud30c\uc77c) \uac15\uc758\ub85d \ud30c\uc77c\ub4e4\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc624\ub298 \uc624\ud6c4\uc5d0 \uba54\uc77c\ub85c \uc62c\ub838\ub294\ub370 \ubabb\ubc1b\uc73c\uc168\ub098\uc694&#x2026; \ub2e4\uc2dc \uc62c\ub9ac\uaca0\uc2b5\ub2c8\ub2e4&#x2026; <\/p>\n<p> &#8221;&#8217;\ucd5c\uc7ac\ud76c&#8221;&#8217; (\ud30c\uc77c) \uac15\uc758\ub85d \ud30c\uc77c\ub4e4\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc800\ub3c4 \uc800\ubc88\uc8fc \ubaa9\uc694\uc77c\uc5d0 \uc5ec\uae30\ub85c \ubcf4\ub0c8\uac70\ub369\uc694&#x2026; \ubabb\ubc1b\uc73c\uc2e0\uac83 \uac19\uc544\uc694 \u3160.\u315c \ub2e4\uc2dc \ubcf4\ub0b4\ub4dc\ub9b4\uaed8\uc694~ <\/p>\n<p> &#8221;&#8217;\uc548\ucc3d\ud638&#8221;&#8217; [\ud30c\uc77c] \ub728\ud5c9 \uc81c \ud30c\uc77c \uc798\ubabb \uc62c\ub77c\uac14\ub124\uc694 \u3161\u3161;;. <\/p>\n<p> \uc5b4\uc81c \uc138\uc2dc\uac04\ub3d9\uc548 \uc791\uc5c5\ud574\uc11c 3\uc7a5 \uc791\uc131\ud574\uc11c \ubcf4\ub0b4 \ub4dc\ub838\ub294\ub370 \uc624\ub298 \ud655\uc778\ud574\ubcf4\ub2c8 \ud55c\uc7a5\ubc16\uc5d0 \uc548\ub5a0\uc11c \ubb34\uc2a8\uc77c\uc778\uac00\ud558\uace0 \ud655\uc778\ud574\ubd24\ub354\ub2c8 \uc791\uc5c5\uc911 \uc624\ub958\uac00 \ub098\uc11c \ud30c\uc77c\uc774 \ub2e4\ub978 \ud3f4\ub354\uc5d0 \uc800\uc7a5\ub418\uc5b4\uc788\ub124\uc694 \u3161\u3161; <\/p>\n<p> \uadf8\ub798\uc11c \ubc29\uae08\uc804 \uad50\uc218\ub2d8\uaed8 \ub2e4\uc2dc \ubcf4\ub0b4\ub4dc\ub838\uc2b5\ub2c8\ub2e4. \ubb3c\uc758\ub97c \uc77c\uc73c\ucf1c\uc11c \uc8c4\uc1a1\ud569\ub2c8\ub2e4(_ _) <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc62c\ub77c\uc628 \uae00\uc744 \ubd24\ub354\ub2c8 <\/p>\n<p> \uc7ac\ud76c\uac00 \uc815\ub9ac\ud55c \uac83 \uc911\uc5d0 \uc798\ubabb\ub41c \ubd80\ubd84\uc774 \uba87 \uad70\ub370 \uc788\uad70\uc694. (\uc81c\uac00 \ubc1c\ud45c\ud55c \uac83 \uc911\uc5d0) <\/p>\n<p> (1) \uc77c\ubc18 \uc0bc\uac01\ud615\uacfc \uadf8\uac83\uacfc \ub192\uc774\uac00 \uac19\uc740 \uc774\ub4f1\ubcc0\uc0bc\uac01\ud615 \uac04\uc758 \uad00\uacc4\ub97c claim\ud558\uace0 \uc99d\uba85\ud55c \ubd80\ubd84\uc5d0\uc11c \uc99d\uba85\uacfc\uc815\uc5d0 (?)\ub97c \ucc0d\uc5b4\ub1a8\ub294\ub370, \uc544\ub9c8 \uc81c\uac00 \ubc1c\ud45c\ud560 \ub54c \ubb3c\uc744\ud45c\ub97c \uc368\uc11c \uadf8\ub300\ub85c \uc801\uc740 \uac83 \uac19\uc740\ub370 \ub0b4\uc6a9\uc815\ub9ac\uc5d0 \uadf8\ub807\uac8c \ud574 \ub193\uc73c\uba74 \ub9c8\uce58 \uc99d\uba85\ub418\uc9c0 \uc54a\uc740 \uac83 \uac19\uc2b5\ub2c8\ub2e4. \uc644\uc804\ud788 \uc99d\uba85\ub41c \uac83\uc774\ubbc0\ub85c (?)\uc744 \uc0dd\ub7b5\ud574 \uc8fc\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4. <\/p>\n<p> (2) \uc815\uc0ac\uac01\ud615\uc744 Steiner Symm.\ud558\ub294 \ub0b4\uc6a9\uc5d0\uc11c \uadf8 \ub54c \ub2f9\uc2dc\ub294 \uc81c\uac00 \ucc29\uac01\ud574\uc11c \uc798\ubabb\ub418\uc5c8\ub2e4\uace0 \uc0dd\uac01\ud588\uc73c\ub098 \uae40\uc601\uc6b1\uad50\uc218\ub2d8\uc758 \ub9d0\uc500\uc744 \ub4e3\uace0 \uc798\ubabb\ub41c \uc2dd\uc774 \uc544\ub2c8\uc600\ub2e4\ub294 \uac83\uc744 \uc54c\uc558\uc2b5\ub2c8\ub2e4. \uadf8\ub7ec\ub2c8 \uc815\ub9ac\ubcf8\uc5d0\ub294 \uc798\ubabb\ub418\uc5c8\ub2e4\uace0 \ud558\uc9c0 \uc54a\ub294 \uac83\uc774 \uc88b\uaca0\ub124\uc694. (\ubb50 \ubb3c\uc758\uae4c\uc9c0\ub294 \uc544\ub2cc\uac70 \uac19\uc9c0\ub9cc&#x2026;. ) <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc81c\uac00 \uc54c\uae30\ub85c\ub294.. <\/p>\n<p> \uadf8 (\ub204\uad6c)\ub77c\ub294 \uc0ac\ub78c\uc774 \uc544\ub9c8 \uc724\ud55c\uc774\ud615\uc774 \uc544\ub2cc\uac00\uc2f6\ub124\uc5ec.. (\uc724\ud55c\uc774\ud615\uc758 pdf\ud30c\uc77c\uc774 \uc815\ub9ac\ub41c\uac74\ub370&#x2026;) <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; (\ubb38\uc81c) ^^a <\/p>\n<p> \u2460 [\uc2e4\uc874\uc801 \ubb38\uc81c] \uc218\ud559\uc73c\ub85c \uc138\uc0c1\uc744 \uc5bc\ub9c8\ub9cc\ud07c \uc124\uba85\ud560 \uc218 \uc5c6\ub098&#x2026; <\/p>\n<p> \u2461 [\uc778\uc2dd\ub860\uc801 \ubb38\uc81c] \uc218\ud559\uc73c\ub85c \uac00\ub2a5\ud55c(; fancy) \uc0c1\uc0c1\ub825\uc740 \uc5b4\ub514\uae4c\uc9c0\uc778\uac00&#x2026; <\/p>\n<p> \u2462 [\uc5ed\uc0ac\uc801 \ubb38\uc81c] \uc218\ud559\uc801 \ub2f4\ub860(logos; \ub791\uadf8; \uc5ed\uc0ac\uc640 \uad00\ub828\uc774 \uae4a\uc2b5\ub2c8\ub2e4.) \uc740 \ucca0\ud559\uc801 \ub2f4\ub860(discourse; \ud30c\ub864)\uc744 \uac70\uccd0 \uc0b6\uc5d0 \ud658\uc6d0(reduction)\ub420 \uc131\uc9c8\uc758 \uac83\uc778\uac00&#x2026; (\uc218\ud559\ud574\uc11c \ubc25 \ubc8c\uc5b4\uba39\ub294 \uc9c1\uc7a5 \uc7a1\ub294\ub370 \ud798\ub4e4\ub9cc\ud07c \uc0ac\ud68c \uc81c\ub3c4\uac00 \uc218\ud559\ud558\ub294 \uc0ac\ub78c\uc758 \uc218\uac00 \ub9ce\uc744 \uac83\uc744 \ub2ec\uac11\uac8c \uc0dd\uac01 \uc548\ud558\uace0, \uc218\ud559\uc73c\ub85c complex \ub290\ub084 \ub9cc\ud07c \uc218\ud559\uc801 \uc131\uacfc\ub85c \uacbd\uc7c1\uc774 \uce58\uc5f4\ud55c \uac83\uc774 \ud604\uc2e4\uc778\ub370\ub3c4 \ub0b4\uac00 \uc218\ud559\uc744 \ub05d\uae4c\uc9c0 \ubb3c\uace0 \ub298\uc5b4\uc9c0\ub294 \uac83\uc774 \uc774\uc0c1\ud558\uc9c0 \uc54a\uc544\uc57c \ud558\ub294\uac00&#x2026;) <\/p>\n<p> \u2463 [\uc0ac\ud68c\uc801 \ubb38\uc81c] \uc218\ud559\uc774 paradoxical\ud55c \ubb38\uc81c\ub97c \uadf9\ubcf5\ud558\ub294 \uacfc\uc815\uc5d0 \uc720\uc77c\ud558\uac8c \ubc1c\uc804(development)\uc774\ub77c\ub294 \ub2e8\uc5b4\uc640 \uc5b4\uc6b8\ub9b0\ub2e4\ub294 \uc0dd\uac01\uc774\ub2e4. \uc774\uac83\uc774\uc57c\ub9d0\ub85c \ubb38\uba85(\u6587\u660e)\uc758 \ubc1c\uc804\uc774\ub2e4. \uc774\ub97c \uc774\uc6a9\ud55c \uacfc\ud559\uae30\uc220\uc758 \ucca8\ub2e8\ud654\uac00 \ubc1c\uc804\uc774\ub77c\ub294 \ub2e8\uc5b4 \uc5b4\uc6b8\ub9ac\ub294\uac00&#x2026; \ubb3c\uc9c8\ubb38\uba85(material civilization)\uc758 \ubc1c\uc804\uc774\ub77c\ub294 \ub9d0 \ub610\ud55c \uc544\uc774\ub7ec\ub2c8\ud55c \ub9d0\uc774 \uc544\ub2d0 \uc218 \uc788\ub294\uac00&#x2026; <\/p>\n<p> \u2464 [\uc724\ub9ac\uc801 \ubb38\uc81c] \uc218\ud559\uc790\ub4e4\uc758 \uc798\ub09c\uccb4\ub294 \ub204\uad6c\ub3c4 \ub9c9\uc744 \uc218 \uc5c6\uc744 \ub9cc\ud07c \ubabb \ub9d0\ub9ac\ub294 \uac83\uc774\ub2e4. \uc790\uae30 \uc2a4\uc2a4\ub85c \uc790\uae30\uac00 \uac00\uc9c4 \uc9c0\uc2dd\uc5d0 \uacb8\uc190\ud558\uc9c0 \uc54a\ub294 \ud55c \uadf8 \uac08\ub4f1\uad6c\uc870\ub294 \ud574\uacb0\ud560 \uc218 \uc5c6\ub2e4. \uc774\ub7ec\ud55c \uc218\ud559\uc801 \uc9c0\uc2dd\uc73c\ub85c \uc798\ub09c\uccb4\ud558\ub3c4\ub85d \ub194\ub46c\uc57c \ud560 \ubb38\uc81c\uc778\uac00&#x2026; <\/p>\n<p> \u2465 [\ub2e4\uc2dc \ub3cc\uc544\uc628 \uc2e4\uc874\uc801 \ubb38\uc81c] \uc774\ub7ec\ud55c \ubb38\uc81c\uc5d0 \uc11c\ub85c \uacf5\uac10\ud560 \uc218 \uc788\ub294 \uce58\ubc00\ud55c \ub2f5\ubcc0\uacfc \uad00\uacc4\uc5c6\uc774 \uc218\ud559\uc744 \uc0ac\ub791\ud55c\ub2e4\ub294 \uc774\uc720\uac00 \uc218\ud559\uc801 \ub2f4\ub860\uc744 \ud3bc\uce58\ub294 \uc815\ub2f9\uc131\uc744 \ucda9\ubd84\ud788 \uc81c\uacf5\ud558\ub294\uac00&#x2026; (\uc218\ud559\uc801 \ub2f4\ub860\ub9cc\uc77c \uc218 \uc788\ub294\uac00&#x2026;) <\/p>\n<p> Written by K.I.LEE <\/p>\n<p> <b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b><b>*<\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b><\/b> <\/p>\n<p> \uc804 \uc218\ud559\uc744 \uc0ac\ub791\ud558\uace0\uc788\uc73c\uba70, \uc0ac\ub78c\uc744 \uc0ac\ub791\ud558\ub824\ud558\uba70, \ucd1d\uccb4\uc801\uc73c\ub85c \uc790\uc5f0(\u81ea\u7136)\uc744 \uc0ac\ub791\ud558\ub824\ud569\ub2c8\ub2e4. \uadf8 \ub9cc\ud07c \uc790\uc5f0\uc740 \ubb34\uc12d\uace0, \uc0ac\ub78c\uc740 \uc874\uacbd\ud560\ub9cc\ud558\uba70, \uc218\ud559(;\ud559\ubb38)\uc740 \uc815\uc9c1(integrity)\ud569\ub2c8\ub2e4&#x2026; <\/p>\n<p> &#8221;&#8217;\uae40\uc601\uc6b1&#8221;&#8217; \ud558\ub098\ub3c4 \uc81c\ub300\ub85c \ub2f5\ud560 \uc218 \uc5c6\uad70\uc694. <\/p>\n<p> &gt; \u2460 [\uc2e4\uc874\uc801 \ubb38\uc81c] \uc218\ud559\uc73c\ub85c \uc138\uc0c1\uc744 \uc5bc\ub9c8\ub9cc\ud07c \uc124\uba85\ud560 \uc218 \uc5c6\ub098&#x2026; <\/p>\n<p> \uc774 \ubb38\uc81c\ub294 \uc5b4\uca5c Goedel, Escher, Bach\ub97c \uc77d\uc5b4\ubcf4\ub294 \uac83\uc774 \uc88b\uc744 \ub4ef. \ud558\uc9c0\ub9cc \uc218\ud559\uc774 \uc138\uc0c1\uc744 \uc124\uba85\ud55c\ub2e4\ub294 \uac83\uc774 \uc5b4\ub290 \uc815\ub3c4 \uc124\uba85\ud558\uba74 \ub410\ub2e4\uace0 \ud560\ub7f0\uc9c0 \ubaa8\ub974\uaca0\uad70\uc694. <\/p>\n<pre class=\"example\">\n\n\u2461 [\uc778\uc2dd\ub860\uc801 \ubb38\uc81c] \uc218\ud559\uc73c\ub85c \uac00\ub2a5\ud55c(; fancy) \uc0c1\uc0c1\ub825\uc740 \uc5b4\ub514\uae4c\uc9c0\uc778\uac00...\n\n<\/pre>\n<p> \uc774\ubb38\uc81c \uc5ed\uc2dc &#x2026; \uc0ac\ub78c\uc758 \uc77c\ubc18\uc801 \uc0c1\uc0c1\ub825\uc758 \ud55c\uacc4\ub97c \ubb3b\ub294 \uac83\uc774\ub77c\uba74 &#x2026; ? \ub9c8\uce58 AI\uac00 \uc0ac\ub78c\uc758 \uc0dd\uac01\uc744 \uc644\uc804\ud788 \ubaa8\ubc29\ud560 \uc218 \uc788\ub294\uac00? \ub97c \ubb3b\ub294 \uac83\uacfc \uac19\uc544\ubcf4\uc774\ub294\uad70\uc694. \ud558\uc9c0\ub9cc \ud639\uc2dc \uc218\ud559\uc73c\ub85c\ub9cc \uac00\ub2a5\ud55c \uc0c1\uc0c1\ub825\uc758 \ud55c\uacc4\ub97c \ubb3b\ub294 \uac83\uc774\ub77c\uba74&#x2026;(\ub9d0\uc774 \uadf8\ub7f0 \ub73b \uac19\uc544\ubcf4\uc5ec\uc11c) \uc218\ud559\uc73c\ub85c \uac00\ub2a5\ud558\ub2e4\ub294 \uac83\uc774 \uc5b4\ub5a4 \ub9d0\uc778\uc9c0 \ub9e4\uc6b0 \uc560\ub9e4\ud558\ub124\uc694.(\uc608\ub97c \ub4e4\uc5b4 \uc218\ud559\uacfc \ub2e4\ub978 \ud559\ubb38\uc744 \ub5bc\uc5b4\ub193\uc744 \uc218 \uc788\ub294 \uac83 \uac19\uc774 \ub4e4\ub9ac\ub294\ub370, \uac00\ub2a5\ud55c\uac00\uc694?) <\/p>\n<pre class=\"example\">\n\u2462 [\uc5ed\uc0ac\uc801 \ubb38\uc81c] \uc218\ud559\uc801 \ub2f4\ub860(logos; \ub791\uadf8; \uc5ed\uc0ac\uc640 \uad00\ub828\uc774 \uae4a\uc2b5\ub2c8\ub2e4.) \uc740\n\ucca0\ud559\uc801 \ub2f4\ub860(discourse; \ud30c\ub864)\uc744 \uac70\uccd0\n\uc0b6\uc5d0 \ud658\uc6d0(reduction)\ub420 \uc131\uc9c8\uc758 \uac83\uc778\uac00...\n(\uc218\ud559\ud574\uc11c \ubc25 \ubc8c\uc5b4\uba39\ub294 \uc9c1\uc7a5 \uc7a1\ub294\ub370 \ud798\ub4e4\ub9cc\ud07c\n\uc0ac\ud68c \uc81c\ub3c4\uac00 \uc218\ud559\ud558\ub294 \uc0ac\ub78c\uc758 \uc218\uac00 \ub9ce\uc744 \uac83\uc744 \ub2ec\uac11\uac8c \uc0dd\uac01 \uc548\ud558\uace0,\n\uc218\ud559\uc73c\ub85c complex \ub290\ub084 \ub9cc\ud07c\n\uc218\ud559\uc801 \uc131\uacfc\ub85c \uacbd\uc7c1\uc774 \uce58\uc5f4\ud55c \uac83\uc774 \ud604\uc2e4\uc778\ub370\ub3c4\n\ub0b4\uac00 \uc218\ud559\uc744 \ub05d\uae4c\uc9c0 \ubb3c\uace0 \ub298\uc5b4\uc9c0\ub294 \uac83\uc774 \uc774\uc0c1\ud558\uc9c0 \uc54a\uc544\uc57c \ud558\ub294\uac00...)\n<\/pre>\n<p> \uc774 \ubb38\uc81c\ub3c4 \ubb38\uc81c\uc640 \uad04\ud638 \uc548\uc758 \uc124\uba85\uc774 \uc5b4\ub5a4 \uad00\uacc4\uc778\uc9c0 \ub0b4\uac8c\ub294 \ubaa8\ud638\ud558\uc9c0\ub9cc&#x2026; langue\ub294 \uc544\ub9c8\ub3c4 \uc218\ud559\uc758 \ub0b4\uc6a9\uc744 \ub9d0\ud558\ub294 \ub4ef \uc2f6\uc740\ub370(\uacf5\uc2dd\uc774\ub77c\ub358\uac00 \uc815\ub9ac\ub77c\ub358\uac00) \ud558\uc9c0\ub9cc \uc218\ud559\uc740 \ub2e8\uc21c\ud55c langue\uac00 \uc544\ub2c8\ub77c \uadf8 \uac83\uc774 \uac16\ub294 \uc758\ubbf8(meaning)\uc774\ub77c\uace0 \uc0dd\uac01\ud574\uc694. \ubb3c\ub860 \uc758\ubbf8\ub77c\ub294 \uac83\uc774 \ubb34\uc5c7\uc778\uc9c0\ub294 \uc798 \ubaa8\ub974\uaca0\uc9c0\ub9cc&#x2026; \uadf8\ub7ec\ub098 \uadf8 \uc758\ubbf8\uac00 langue\uc790\uccb4\uc5d0 \uc788\ub294 \uac83\uc774 \uc544\ub2c8\uace0 \uc624\ud788\ub824 \uadf8\uac83\uc744 \uc774\ud574\ud558\ub824\ub294 \uc2dc\ub3c4\uc5d0\uc11c \uc0dd\uae34\ub2e4\uace0 \ubcf4\uc774\ub124\uc694. \uadf8\ub7f0 \ub73b\uc5d0\uc11c \uc218\ud559\uc740 \uc790\uc5f0\ud788 \uc0ac\ub78c\ub4e4 \uc0ac\uc774\uc5d0\uc11c \ub610\ub294 \uc790\uae30 \uc790\uc2e0\uacfc\uc758 discourse(\ud1a0\ub860, \ub2f4\ub860)\uc744 \uac70\uccd0\uc11c\ub9cc \uadf8 \uc758\ubbf8\ub97c \uc5bb\uac8c \ub418\ub294\uac70 \uc544\ub2cc\uac00 \ud558\ub294\ub370&#x2026;(\uc774\uac8c parole\uacfc \uc5b4\ub5a4 \uc0c1\uad00\uc774\uc8e0? \ub2e4 \uc78a\uc5b4\ubc84\ub824\uc11c\ub9ac&#x2026;) \uc218\ud559\uc740 \ub2f9\uc5f0\ud788 \uc0ac\ud68c\uc5d0 \uc774\uc6a9\ub420 \ud130\uc778\ub370 \uc774\uc6a9\ub418\ub294 \uacfc\uc815\uc774 \uc5b4\ub5a4\uac74\uc9c0\ub294 \uc544\ubb34\ub3c4 \ubaa8\ub974\uc9c0\ub9cc(\uc5b4\ub5a4 \uacfc\uc815\uacfc \uc0ac\uace0\ub97c \ud1b5\ud574\uc11c \uc774\ub8e8\uc5b4\uc84c\ub294\uc9c0, \ub610\ub294 \uc6b0\uc5f0\ud788 \uc758\ubbf8\ub3c4 \ubaa8\ub974\uba74\uc11c \uc4f0\uc600\ub294\uc9c0 \ub4f1\ub4f1), \uadf8 \uacfc\uc815\uc744 \uc774\ud574\ud558\ub824\uba74 \ub2f9\uc5f0\ud788 discourse\uac00 \ud544\uc694\ud558\ub2e4\uace0 \uc0dd\uac01\ud574\uc694. <\/p>\n<p> \uc218\ud559\uc744 \ub300\ud558\ub294 \uc81c\ub3c4\uac00 \ub098\uc05c \uac83\uc740 \uc6b0\ub9ac\ub098\ub77c\uc5d0\uc11c \uc870\uae08 \uc2ec\ud55c \uac83\uc774\uace0, \uc218\ud559\uc5d0\uc11c complex\ub290\ub084\ub9cc\ud07c \ubc1c\uc804\uc774 \ube60\ub978 \uac83\uc740 \uc138\uacc4\uc801\uc778 \ubb38\uc81c\uc774\uc9c0 \uc6b0\ub9ac\ub098\ub77c \uc548\uc5d0\uc11c\ub294 \uc544\ub2c8\ub2c8\uae4c&#x2026; \uadf8 \uc0ac\ud68c\uac00 \uc218\ud559\uc744 \uc5b4\ub5bb\uac8c \ub300\ud558\ub290\ub0d0\uc5d0 \ub530\ub77c \uadf8 \uc0ac\ud68c\uc758 \uc218\ud559\uc774 \ubc1c\uc804\ud558\ub294\uac00 \uc544\ub2cc\uac00\uac00 \uacb0\uc815\ub098\uc9c0\uc694. \uadf8\ub9ac\uc2a4\uc758 \uc218\ud559\uc774 \uadf8\ub807\uac8c \ubc1c\uc804\ud588\ub2e4\uac00\ub3c4, 1000\ub144\uc744 \ub118\ub294 \ub3d9\uc548 \uc911\uc138\uc5d0\uc11c\ub294 \uc218\ud559\uc744 \ubab0\ub790\uc9c0\uc694. <\/p>\n<pre class=\"example\">\n\n\u2463 [\uc0ac\ud68c\uc801 \ubb38\uc81c] \uc218\ud559\uc774 paradoxical\ud55c \ubb38\uc81c\ub97c \uadf9\ubcf5\ud558\ub294 \uacfc\uc815\uc5d0\n\uc720\uc77c\ud558\uac8c \ubc1c\uc804(development)\uc774\ub77c\ub294 \ub2e8\uc5b4\uc640 \uc5b4\uc6b8\ub9b0\ub2e4\ub294 \uc0dd\uac01\uc774\ub2e4.\n\uc774\uac83\uc774\uc57c\ub9d0\ub85c \ubb38\uba85(\u6587\u660e)\uc758 \ubc1c\uc804\uc774\ub2e4.\n\uc774\ub97c \uc774\uc6a9\ud55c \uacfc\ud559\uae30\uc220\uc758 \ucca8\ub2e8\ud654\uac00 \ubc1c\uc804\uc774\ub77c\ub294 \ub2e8\uc5b4 \uc5b4\uc6b8\ub9ac\ub294\uac00...\n\ubb3c\uc9c8\ubb38\uba85(material civilization)\uc758 \ubc1c\uc804\uc774\ub77c\ub294 \ub9d0 \ub610\ud55c \uc544\uc774\ub7ec\ub2c8\ud55c \ub9d0\uc774 \uc544\ub2d0 \uc218 \uc788\ub294\uac00...\n\n<\/pre>\n<p> \uacfc\ud559\uae30\uc220\uc758 \ucca8\ub2e8\ud654\uac00 \ubc1c\uc804\uc774 \uc544\ub2c8\ub77c\uace0 \ud55c\ub2e4\uba74, \uc9c0\uae08 \uc0ac\uc6a9\ud558\uace0 \uc788\ub294 \ubc1c\uc804\uc774\ub780 \ub2e8\uc5b4\uc758 \ub73b\uc774 \ubb34\uc5c7\uc778\uc9c0 \uc815\uc758 \ub0b4\uc9c0\ub294 \uc608\ub97c \ud1b5\ud55c \ub2e8\uc5b4\uc758 \uc758\ubbf8\ub97c \ubd84\uba85\ud788 \ud574\uc57c \ud558\uc9c0 \uc54a\uc744\uae4c&#x2026;? (\ud639 \ubb3c\uc9c8\ubb38\uba85\uc758 \ubc1c\uc804\uc774 \ubb3c\uc9c8 \ubb38\uba85\uc740 \ud5c8\ubb3c\uc5b4\uc9c0\uba74 \uc5c6\uc5c8\ub358\uac70\uc640 \uac19\uc73c\ub2c8\uae4c \ubc1c\uc804\uc774 \uc544\ub2c8\ub77c\uace0 \uc0dd\uac01\ud55c\ub2e4\uba74, \uc218\ud559\uacfc \uac19\uc740 \uac83\ub3c4 \ubaa8\ub4e0 \uc0ac\ub78c\uc774 \uc78a\uc5b4\ubc84\ub9ac\uba74 \uc5c6\uc5c8\ub358\uac70\uc640 \uac19\uc740\ub370&#x2026;) <\/p>\n<p> \ub4f1\ub4f1&#x2026; <\/p>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; [(1)\uc5d0 \ub300\ud55c \uc5c9\ub6b1\ud55c \ub2f5\ubcc0] ^^a -&gt;\ub2e4\uc2dc \uc9c8\ubb38\uc73c\ub85c \ub3cc\uc544\uac00\ub124\uc694.. <\/p>\n<p> \ub2e8\uc21c\ud788 \uc218\ud559\uc801 \uc5b8\uc5b4\uac00 \uac00\uc9c0\ub294 \uc5b4\ub5a4 \uac83\uc758 support\ub3c4 \uc544\ub2c8\uace0, \ub2e8\uc21c\ud788 \uc218\ud559\uc801 \uc5b8\uc5b4\uc758 practical \ud558\uace0 specific\ud55c \ubd80\ubd84\uc758 application\uc774 \uc544\ub2c8\ub77c, \uad50\uc218\ub2d8\uc774 \ub9d0\uc500\ud558\uc2e0 \uc218\ud559\uc801 \uc5b8\uc5b4\uc758 \uc758\ubbf8(meaning)\ub97c \uc0dd\uac01\ud588\uc744 \ub54c, \uc800\uc758 \uc9c8\ubb38\uc740 \uadf8\ub7ec\ud55c \uc218\ud559\uc801 \uc758\ubbf8\ub97c \uc138\uc0c1\uc758 \uc758\ubbf8\ub77c\uace0 \ub9d0\ud560 \uc218 \uc788\ub290\ub0d0 \ub2e4\uc2dc\ub9d0\ud574 \uadf8\ub7ec\ud55c \uc218\ud559\uc801 \uc758\ubbf8\ub294 \uc138\uc0c1\uc744 \uc124\uba85\ud558\uace0 \uc788\ub2e4\uace0 \ub9d0\ud560 \uc218 \uc788\ub290\ub0d0\ub294 \uac83\uc774\uc9c0\uc694. \uc880 \uad6c\uccb4\uc801\uc73c\ub85c \ub9d0\ud558\uba74, \uc11c\uc591\ucca0\ud559\uc5d0\uc11c \uc0ac\uc720\uc758 \uc2dc\uc791\uc774\ub77c\uace0 \uc720\uba85\ud55c \ucca0\ud559\uc790\ub77c\uba74 \ud55c\ub9c8\ub514\uc529 \ub358\uc9c4 \uc874\uc7ac\ub860\uc758 \uc785\uc7a5\uc5d0\uc11c realism(\uc2e4\uc7ac\ub860-\ucca0\ud559; \uc0ac\uc2e4\uc8fc\uc758-\ubb38\uc608; \ud604\uc2e4\uc8fc\uc758-\uc77c\uc0c1)\uc758 \uc8fc\uc778\uacf5\uc778 reality(\uc2e4\uc7ac)\ub97c \uc218\ud559\uc801 \uc5b8\uc5b4\uc758 \uc758\ubbf8\uac00 \uc5f4\uc2ec\ud788 \uc124\uba85\uc740 \ud558\uace0 \uc788\ub2e4\uace0 \uc0dd\uac01\uc774 \ub418\ub294\ub370, \uc124\uba85 \uc548 \ub418\ub294 \ubd80\ubd84\uc744 \uc0dd\uac01\uc774\ub098 \ud558\uba74\uc11c \uc5f4\uc2ec\ud788 \uc124\uba85\ud558\ub290\ub0d0\ub294 \uac83\uc774\uc9c0\uc694. (To know the truth partially is to distort the Universe. A.N.WHITEHEAD) <\/p>\n<p> \ud558\uc9c0\ub9cc \uc774\uc0c1\ud558\uac8c\ub3c4 \uc774\ub7f0 \uc758\ubbf8\ub97c \ucc3e\ub294 \uac83, \uc81c\uac90 \uc808\uc2e4\ud569\ub2c8\ub2e4. \uadf8\ub798\uc11c \uc5ec\uae30\uc5d0 \ud479 \ube60\uc84c\ub294\uc9c0.. \uc544\ub9c8 \uc0ac\ub791\ud558\uace0 \uc788\ub294\uc9c0 \ubaa8\ub985\ub2c8\ub2e4. <\/p>\n<p> \uadf8\ub798\ub3c4 \uc81c\uac8c \uc788\uc5b4 \uc608\ub97c \ub4e4\uc5b4 \ube5b\uc758 \uc18d\ub3c4\uac00 \uc77c\uc815\ud558\ub2e4\ub77c\ub294 \uc0ac\uc2e4(contingent fact, \uc6b0\ubc1c\uc801 \uc0ac\uc2e4)\uc744 \ubbff\uace0 \uc8fd\uc5b4\uc57c \ud560 \uc6b4\uba85\uacfc \ubd80\ubaa8\ub2d8\uc5d0\uac8c \ubab9\uc4f8 \uc798\ubabb\uc744 \ud558\uace0\ub294 \ud574\uacb0\ub3c4 \ubabb\ud55c \ucc44 \uc601\uc6d0\ud55c \uc774\ubcc4\uc744 \ub9de\ub294 \uc6b4\uba85(necessity, \ud544\uc5f0)\uc744 \uc0dd\uac01\ud588\uc744 \ub54c, \uadf8\ub7f0 \uc0ac\uc2e4\uc801\uc778 \uc218\ud559\uc801 \uc758\ubbf8\ub97c \ucc3e\ub294 \uc77c\uc774 \uc808\uc2e4\ud55c \uc774\uc720\uac00 \ub420 \uc218 \uc5c6\uc744 \uc9c0\ub3c4 \ubaa8\ub974\uaca0\uc2b5\ub2c8\ub2e4.. \ud5cc\ub370 \ub0c9\uc815\ud558\uac8c\ub3c4 \uc11c\uc591\uc0ac\uc0c1\uc5d0\uc11c\ub294 (\uc800\ub3c4 \ub204\uad6c\ub098 \uacf5\uac10\ud558\ub4ef \uc11c\uc591, \ub3d9\uc591\uc774\ub77c\ub294 \ubc30\ud0c0\uc801 \uc774\ubd84\ubc95\uc5d0\uc11c \ub9d0\ud558\uace0 \uc2f6\uc9c4 \uc54a\uc9c0\ub9cc \uc774\ud574\ud558\uae30 \ud3b8\ud558\uac8c, \uc695 \uc5bb\uc5b4\uba39\uae30 \ud3b8\ud558\uac8c..) \uc6b0\ubc1c\uc801 \uc0ac\uc2e4\uacfc \ud544\uc5f0\uc801 \uac00\uce58\uc758 \ub098\ub214\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \uc790\uc720\ub77c\ub294 \ub9d0\ub3c4 \uc808\ub300\uc801 \uc790\uc720\ub294 \ub204\uad6c\uc640\ub3c4 \uad00\uacc4\ub418\uc9c0 \uc54a\ub294 \uc8fd\uc74c\uc77c \uc218\ubc16\uc5d0 \uc5c6\ub294 \ubabb\ub41c \ud544\uc5f0\uc801 \uac00\uce58\uc784\uc5d0 \uc758\uc758\ub97c \ub2ec\uc9c0 \ubabb\ud560 \uac83 \uac19\uc73c\uba74\uc11c\ub3c4, \uc790\uc720\ub294 \uc2e4\uc874\uc758 \ubb34\uadfc\uac70\uc131, \uc989 \uc6b0\ubc1c\uc801 \uc0ac\uc2e4\uc5d0 \uadfc\uac70\ub97c \ub454\ub2e4\uba74\uc11c \uc808\ub300\uc790\uc720\ub780 \uc5b8\uc5b4\uc5d0 \ud53c\ub97c \ud758\ub824\uac00\uba70 \uc678\uccd0\ub3c4 \uc544\ubb34\ub807\uc9c0 \uc54a\ub294 \uac83\uc774 \uc11c\uc591\uc0ac\uc0c1\uc774\ub77c\ub294 \uac83\uc774\uc9c0\uc694. <\/p>\n<p> \uad6c\uccb4\uc801\uc73c\ub85c \uc9c8\ubb38\uc5d0 \ub300\ud55c \uad50\uc218\ub2d8\uc758 \uc5ed \uc9c8\ubb38\uc5d0 \uc5c9\ub6b1\ud560 \uc218 \uc788\ub294 \ub2f5\ubcc0 \ub4dc\ub9bd\ub2c8\ub2e4. <\/p>\n<p> \u2461 AI \uc778\uacf5\uc9c0\ub2a5 \ub9d0\uc500\ud558\uc2dc\ub294 \uac70\uc9c0\uc694? \ub9de\ub098\uc694? \uc774\ub7f0 \uc778\uacf5\uc9c0\ub2a5\uc740 \uae30\uacc4\uc5d0 \uc5b8\uc5b4\ub97c \uc785\ud600 virtual\ud560 \uc218 \uc788\ub294 \uae30\ub2a5\uc744 \ub9d0\ud558\ub294 \uac83 \uac19\uc740\ub370, \uc5b8\uc5b4(logos)\ubc16\uc5d0 \ubabb \uc785\ud78c\ub2e4\ub294 \uac83\uc5d0 \uadf8 \ucd08\uc810\uc744 \ub9de\ucdb0 \uc0dd\uac01\ud558\uba74, \uadf8\ub7ec\ud55c \uc0dd\uac01\uc740 \uc778\uac04\uc758 natural(spontaneous)\ud55c intelligence\ub97c \ub118\ubcfc \uc218 \uc5c6\ub294 \uc774\uc720\uac00 \ub418\uc9c0 \uc54a\uc744\uae4c \ud569\ub2c8\ub2e4. \uadfc\ub370 \uc804 \uc218\ud559\uacfc \ub2e4\ub978 \ud559\ubb38\uc744 \ub5bc\uc5b4\ub193\uc744 \ub9c8\uc74c\uc774 \uc5c6\uc5b4 \ubcf4\uc785\ub2c8\ub2e4. \ub9cc\ub098\uac8c \ud558\ub824\uace0 \ud588\uc73c\uba74 \ud588\uc9c0 \ub5bc\uc5b4\ub193\uace0 \uc2f6\uc9c0\ub294 \uc54a\ub124\uc694. ^^ \uadf8\ub798\uc11c \uc5ec\uae30\uc11c \ub9d0\ud558\ub294 \uc218\ud559\uc73c\ub85c \uac00\ub2a5\ud55c \uc0c1\uc0c1\ub825 \ub2e4\ub978 \ud559\ubb38(\ud2b9\ud788, \ubb3c\ub9ac)\uacfc \uad00\ub828\ub41c \uc0c1\uc0c1\ub825\uc785\ub2c8\ub2e4. \uc218\ud559\uc73c\ub85c \uac00\ub2a5\ud55c \uc0c1\uc0c1\ub825\uc774 \uc5b4\ub514\uae4c\uc9c0\uc778\uac00\ub3c4 \ubb34\ucc99 \uad81\uae08\ud558\uc9c0\ub9cc, (\uad50\uc218\ub2d8\uc774 \uc774\ud574\ud558\uc2e0) \uc774\ub7ec\ud55c \uc218\ud559\uc73c\ub85c\ub9cc \uac00\ub2a5\ud55c \uc0c1\uc0c1\ub825\uc758 \ud55c\uacc4\ub97c \uc0dd\uac01\ud558\uae30 \uc804\uc5d0, \uc9c0\uae08\uae4c\uc9c0 \ub098\uc628 fancy\ud55c \uc774\ub860\uc774 \uc5b4\ub5a4 \uc138\uc0c1\uc744 \uc124\uba85\ud558\ub294\uc9c0\ub3c4 \uad81\uae08\ud569\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \ubbf8\ubd84\uae30\ud558\uc5d0\uc11c M^n\uc740 \uc801\ub2f9\ud788(?) \ud574\uc11d\uc801\uc778 \uace1\uba74\uacfc \uac19\uc740 \uac83\ub4e4\uc758 \uc77c\ubc18\ud654\ub41c n \ucc28\uc6d0 \uace1\uba74 \ube44\uc2b7\ud55c \uac83 \uac19\uc740\ub370 \uc774\uac74 \ub2e4\ub978 \ud559\ubb38(\ud2b9\ud788, \ubb3c\ub9ac)\uc5d0\uc11c \ubb34\uc5bc \uc758\ubbf8\ud558\ub294\uc9c0&#x2026; <\/p>\n<p> \u2462 langue\ub77c\ub294 \ud45c\ud604\ub3c4 \uc704\uc640 \uac19\uc740 \uc138\uc0c1\uc5d0 \uc758\ubbf8\ub97c \ub2f4\uace0 \uc788\uc5b4 \ubcf4\uc774\uc9c0 \uc54a\ub294 \uac83(M^n)\ub4e4 \ub54c\ubb38\uc5d0 \ubd80\ub4dd\uc774 \uc4f0\uac8c \ub41c \uac83\uc73c\ub85c \ubcc0\uba85\ud558\uace0 \uc2f6\uad6c\uc694. \uad50\uc218\ub2d8\uc774 \ub9d0\uc500\ud558\uc2e0 \ub791\uadf8\ub97c \uc774\ud574\ud558\ub824\ub294 \uc2dc\ub3c4 \ub108\ubb34\ub3c4 \uc800\ub97c \uc124\ub798\uac8c \ud569\ub2c8\ub2e4. ^^ <\/p>\n<p> \uc774 \ubb38\uc81c\ub294 \uc0b6\uc758 \ud658\uc6d0\uc5d0 \ucd08\uc810\uc744 \ub9de\ucd94\uc5c8\ub294\ub370 \uc880 \uc5c9\ub6b1\ud55c \ubc29\ud5a5\uc73c\ub85c \ud750\ub978 \uac83 \uac19\uc2b5\ub2c8\ub2e4. ^^ \ud55c\uac00\uc9c0 \uc608\ub97c \ub4e4\uc5b4 \ubcf4\uc774\uaca0\uc2b5\ub2c8\ub2e4. \uc0c1\ud669\uc778\uc989 \uc5c4\ub9c8\uc640 \uaf2c\ub9c8\uc0ac\ub0b4\uc544\uc774\uac00 \uc788\ub294\ub370 \uadf8 \uc544\uc774\uac00 \ub9c9 \uc6b8\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub798\uc11c \uc5c4\ub9c8\ub294 \uaf2c\ub9c8\uc5d0\uac8c \uac15\ud55c \uc5b4\uc870\ub85c \uc774\ub807\uac8c \ub9d0\ud588\uc2b5\ub2c8\ub2e4. \\&#8221;\uc0ac\ub0b4\uc544\uc774\uac00 \uc6b8\uae34!\\&#8221; \uadf8\ub7ac\ub354\ub2c8 \uadf8 \uaf2c\ub9c8\uc0ac\ub0b4\uc544\uc774\uac00 \uc6b8\uc74c\uc744 \uba48\ucd94\uc5c8\uc2b5\ub2c8\ub2e4. \uc774 \uc0c1\ud669\uc744 \uc5b4\ub5bb\uac8c \ud574\uc11d\ud574\uc57c\ud560\uae4c\uc694. \uadf8 \uaf2c\ub9c8\ub294 \uc0ac\ub0b4\uc544\uc774\ub77c\ub294 \uc5b4\ub5a4 \uc0ac\uba85\uac10(?)\uc5d0 \uc6b8\uc74c\uc744 \uba48\ucd94\uc5c8\uc744\uae4c\uc694. \uc544\ub2c8\uba74 \\&#8221;~\uc6b8\uae34!!\\&#8221;\uc774\ub780 \uac15\ud55c \uba85\ub839\uc870\uc5d0 \ucac4\uc544\uc11c \uc6b8\uc74c\uc744 \uba48\ucd94\uc5c8\uc744\uae4c\uc694. \ub458\ub2e4 \uc77c \uc218\ub3c4 \uc788\uace0 \ub458\uc911\uc5d0 \ud558\ub098\uc77c \uc218\ub3c4 \uc788\uc9c0\ub9cc, \uc5ec\uae30\uc11c \uc911\uc694\ud558\uac8c \uc0dd\uac01\ud574\ubcfc \uac83\uc740 \ub458\ub2e4 \uc544\ub2d0 \uc218\ub3c4 \uc788\ub2e4\ub294 \uac83\uc785\ub2c8\ub2e4. \ub9d0(logos)\uc740 \ub298 \uc5c9\ub6b1\ud568\ub9cc\uc744 \uac16\ub294\ub2e4\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. (No verbal statement is the adequate expression of a proposition . A.N.WHITEHEAD) \uc5ec\uae30\uc11c \ub458\ub2e4 \uc77c \uc218 \uc788\uace0, \ub458\uc911\uc5d0 \ud558\ub098\uc77c \uc218 \uc788\ub294 \uac83\uc774 \ubc14\ub85c \ucca0\ud559\uc801 \ub2f4\ub860\uc744 \uac70\uce58\ub294 \uac83\uc774\ub77c\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uc774\ub7f0 \ucca0\ud559\uc801 \ub2f4\ub860\uc744 \uac70\uce60 \ub54c \uac1c\uac1c\uc778\uc774 \uac00\uc9c4 \uc5b8\uc5b4\uc801 \ud589\uc704\uc778 parole\uc774 \ud544\uc694\ud558\ub2e4\ub77c\uace0 \ub9d0\ud560 \uc218 \uc788\uc5b4 \ubcf4\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc774\uc655 \ud30c\ub864\uc774\uc57c\uae30\uac00 \ub098\uc640\uc11c \ud30c\ub864\uc5d0 \ub300\ud55c \uc774\uc57c\uae30 \uc880 \ud558\uc790\uba74, \uac1c\uac1c\uc778\uc774 \uac00\uc9c4 \uc5b8\uc5b4\uc801 \ud589\uc704\uc778 \ud30c\ub864\uc740 \uc9c0\uad6c\ucd0c \uc804\uccb4\ub97c \uc0dd\uac01\ud560 \ub9cc\ud07c \ubcf4\ud3b8\uc801\uc774\uc9c0 \uc54a\uc544 \ubcf4\uc785\ub2c8\ub2e4. \uadf8\ub798\uc11c \uc800\ub294 authority(\uad8c\uc704)\ub97c \uac00\uc9c4 author\ub97c \ucc3e\ub294\ub370 \ud608\uc548\uc774 \ub418\uc5b4\uc788\uc9c0\uc694. \uc774\ub294 \ub0a8\uacfc\uc758 \ub300\ud654\ub97c \uc704\ud568\uc774\ub77c\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uadf8\ub798\uc11c \uac70\uce60\uac8c \ub9d0\ud574 \uad8c\uc704\ub97c \ucc3e\ub294 \uadf8\ub7f0 \ud1b5\uc2dc\uc801 \ubc29\ub300\ud568\uc744 \uac00\uc9c8 \uacf5\ubd80\uc640 \uacf5\uc2dc\uc801 \ubc29\ub300\ud55c \uc5b4\ud718\ub97c \ud761\uc218\ud560 sense\uac00 \ud544\uc694\ud558\ub2e4\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uc6b0\uc120\uc801\uc73c\ub85c \ud574\uc124\uc11c\ub098 \ud480\uc774\uc11c\uac00 \uc544\ub2cc \uc6d0\uc804 \uadf8\ub300\ub85c\uc758 \ud574\uc11d(interpretation)\uc774 \ud544\uc694\ud558\uace0, \ub610 \uadf8\uac83 \uc5c6\uc774\ub294 \uc548 \ub41c\ub2e4\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. (\uc6d0\uc804 \uc989 \uace0\uc804classics \uc73c\ub85c \ubcf4\ub294 \uac83\uc774 \uc9c0\ub984\uae38\uc774\uace0, \uadf8\uac83\uc774 \uc27d\ub2e4\ub294 \uc774\uc57c\uae30\ub97c \ub4e4\uc740 \uae30\uc5b5\uc774 \uc788\uc2b5\ub2c8\ub2e4.) \ud558\uc9c0\ub9cc \ud2b9\ud788 \uc11c\uc591\uace0\uc804\uc740 \uc11c\uc591\uc0ac\uc0c1\uc758 \uc720\uae30\uc801 \uae34\ubc00\uc131 \ub54c\ubb38\uc5d0 \uc11c\uc591\uc5b8\uc5b4\ub07c\ub9ac \ubc88\uc5ed\ub41c \ubc88\uc5ed\uc11c\ub294 \uc6d0\uc804\uc744 \uc77d\ub294 \ub290\ub08c\uc774 \ub0a0 \uc218 \uc788\uc744 \ubfd0 \uc544\ub2c8\ub77c \uc0c8\ub85c\uc6b4 \uae30\ubd84\uae4c\uc9c0 \uc811\ud560 \uc218 \uc788\ub2e4\ub294 \ub9d0\uc744 \ub4e4\uc740 \uae30\uc5b5\ub3c4 \uc788\uc9c0\ub9cc.. \uc544\ubb34\ud2bc, \uc774\ub7f0 \uc5b4\ud718\uc801 \uc900\ube44, \ubc14\ud0d5 \uc704\uc5d0 parole\ub85c \ud63c\uc790\ub294 \ubb3c\ub860 \ub2e4\ub978 \uc0ac\ub78c\uacfc\ub3c4 discourse \ud560 \uc218 \uc788\ub294 \ubd84\uc704\uae30 \uc815\ub9d0 \uae30\ub300\ud558\uace0 \uc2f6\uc2b5\ub2c8\ub2e4. <\/p>\n<p> 3\ubc88\uc5d0 \ub300\ud55c \uc9c8\ubb38\uc744 \uc880 \ub113\uac8c \ub2e4\ub974\uac8c \ud558\uc790\uba74, \ub3d9\uc591(estern)\uc5d0\uc11c\ub294 \uc9c4\ub9ac\uc774\uc9c0 \uc54a\uc740 \uac83 \uac19\uc73c\uba74\uc11c \uc9c4\ub9ac\uc778 paradox\ub85c\uc11c \uc9c4\ub9ac\ub97c \ub9d0\ud558\uace0, \uc5b8\uc5b4(\u6587)\ub294 \uc0b6\uc744 \uc124\uba85\ud558\ub294 \ud55c \ubc29\ud3b8\uc5d0 \uc9c0\ub098\uc9c0 \uc54a\ub294\ub2e4\ub294 \ubbff\uc74c\uc744 \uac00\uc9c0\uace0 \uc0dd\ud65c\uc5d0 \ucda9\uc2e4\ud55c \ubc18\uba74, \uc11c\uc591(western)\uc740 \uc5b8\uc5b4(logos)\uc5d0 \uc5b4\ub514\uae4c\uc9c0 \uc758\ubbf8 \uc788\ub098 \ucc3e\uc544\ubcf4\uba70 \ucca0\ud559\uc801 \ub2f4\ub860\uc73c\ub85c \uc774\ub04c\uace0 \uc788\ub2e4\uace0 \uc0dd\uac01\uc774 \ub418\ub294\ub370(\ud2b9\ud788, \uc218\ud559\uc5d0\uc11c), \uc5b4\ub514\ub85c \uc774\ub04c\uace0 \uac00\ub294 \uac74\uc9c0 \ubc29\ud5a5\uc744 \uc7a1\uc9c8 \ubabb\ud558\uaca0\uc2b5\ub2c8\ub2e4. \ubb3c\ub9ac\uc801 \uc758\ubbf8\uc758 paradox (\uc5ec\uc9c0\uac83 \uc904\uacf3 \uc800\ub294 \ubb3c\ub9ac\uc801 \uc758\ubbf8\uc758 paradox\ub97c \ub9d0\ud574\uc654\uc5c8\uc2b5\ub2c8\ub2e4. \uc81c\ub17c\uc758 \uc5ed\uc124, \ub7ec\uc140\uc758 \uc5ed\uc124, \uc288\ub8b0\ub529\uac70 \uace0\uc591\uc774\uc758 \uc5ed\uc124\uc744 \uc704\uc5d0\uc11c \ub9d0\ud55c realism\uc5d0 \ub300\ud55c \uc5ed\uc0ac\uc801 \uc774\uc57c\uae30\ub97c \uc774\ub04c \ub54c \uc911\uc694\ud55c \ub2e8\ucd08\ub85c \uc0bc\uace0 \uc788\uc2b5\ub2c8\ub2e4. \ub098\uc911\uc5d0 \uc0c1\ud669\uc5d0 \ub9de\ucdb0 \uc774\uc57c\uae30\ub3c4 \ub098\ub204\uace0 \uc2f6\uc740 \ubd80\ubd84\uc785\ub2c8\ub2e4. \uc5b4\ub5a0\ud55c \uc790\uae30\uc0dd\uac01\uc758 \uc774\uc57c\uae30\ub4e0 \uae00\uc774\ub4e0 \ub0a8\uc758 \uc0dd\uac01\uc774 \ub418\ub294\ub370 \ub9db\uae54\uc2a4\ub7fd\uac8c \uc870\uac01\ub0b4\uc11c \uba39\ud788\ub294 \uac83\uc774 \uc911\uc694\ud558\uace0, \ub9db\uae54\uc2a4\ub7fd\uac8c \ubc84\ub9bc\ubc1b\ub294 \uac83\uc774 \uc911\uc694\ud558\ub2e4\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uadf8\ub7f0 \uc758\ubbf8\uc5d0\uc11c \ub3d9\uc591, \uc11c\uc591 \uc774\uc57c\uae30\ub3c4, \ub098\uc911\uc5d0 \uc774\uc57c\uae30\uac00 \ub420 \uc218 \uc788\uc744 \uac83 \uac19\uc740 realism\uc5d0\uc11c\uc758 \uc911\uc694\ud55c \ub2e8\ucd08\ub4e4\ub3c4 \ub9db\uae54\uc2a4\ub7ec\uc6e0\uc73c\uba74 \uc88b\uaca0\uc2b5\ub2c8\ub2e4.) \uac00 \uc911\uc694\ud55c \uc774\uc815\ud45c\uac00 \ub420 \uac83 \uac19\uc740 \ub9c9\uc5f0\ud55c \ubc14\ub78c\ubfd0&#x2026; \uad81\uae08\ud569\ub2c8\ub2e4. \uc774\ub7f0 \uac83\uc774 \ubc25 \ube4c\uc5b4\uba39\ub294 \uc77c\uc778\uc9c0, \uc5ed\uc0ac\uc801\uc73c\ub85c \uc5bc\ub9c8\ub098 \uac00\uce58\uc788\ub294 \uc77c\uc778\uc9c0&#x2026; \uc774 \ubb38\uc81c\ub294 \uc0ac\uc2e4\uacfc \uac00\uce58(\ud544\uc5f0)\uc5d0 \ub300\ud55c \uc9c8\ubb38\uc73c\ub85c \uad6c\uccb4\ud654\uc2dc\ud0ac \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \uc81c\uac00 \ub9d0\ud55c \uc9c1\uc7a5\uc740 \uc774\ub7f0 \uace0\ubbfc\ud558\ub294 \uc21c\uc218 \uc218\ud559\ud558\ub294 \uad50\uc218\uae09\uc744 \uc774\uc57c\uae30\ud55c \uac83\uc774\uace0, \uc774\ub7f0 \uace0\ubbfc\uacfc \uad00\uacc4\uc5c6\ub294 \uc218\ud559\uc801 \uc131\uacfc\ubb3c\uc744 \uc694\uad6c\ud558\ub294 stress\ub97c \uc0c1\uc0c1\ud574\ubcf8 \uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> \u2463 \uadf8\ub7f0\ub370 \uc774\uc0c1\ud558\uac8c\ub3c4 \ub3d9\uc591\uc5d0\uc11c\uc758 \uc0b6\uc5d0 \ud544\uc694\ud55c \uae30\uc220\ubcf4\ub2e4 \uc11c\uc591\uc758 \uacfc\ud559\uae30\uc220\uc774 \uc0b6\uc5d0 \ubbf8\uce58\ub294 \uc601\ud5a5\uc774 \uac15\ub825\ud569\ub2c8\ub2e4. \uc5c4\uccad\ub09c \uad6d\uac00\uc801 power(\uad8c\ub825)\ub97c \uac00\uc9c8 \ub9cc\ud07c\uc758 \ub300\ub2e8\ud55c \uac83\uc73c\ub85c \ubcf4\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc81c\uac00 \uc800\ub97c \ubcfc \ub54c \uacfc\ud559\uae30\uc220\uc758 \ucca8\ub2e8\ud654\uc758 \ubc1c\uc804\uc774\ub77c\ub294 \ub9d0\uc5d0 \uc870\uc2ec\uc2a4\ub7ec\uc6cc\ud558\uba70, \ubc1c\uc804(divelopment)\uc774\ub77c\ub294 \ub2e8\uc5b4 \ub300\uc2e0 \ud5a5\uc0c1(enhancement)\uc744 \uc4f0\uace0 \uc2f6\uc5b4\ud558\ub294 \ub4ef \ubcf4\uc785\ub2c8\ub2e4. \uc774\uc720\uc778\uc989 technology(\uae30\uc220)\uc774\ub780 \ub9d0\uc740 \uc218\ud559\uacfc \uacfc\ud559\uc774 \uc5c6\uc5b4\ub3c4 \uc601\uc704\ud560 \uc218 \uc788\ub294 (\uc608\ub97c \ub4e4\uba74 \uc758\uc2dd\uc8fc\ud574\uacb0\uc740 \uc218\ud559\uacfc \uacfc\ud559\uc5c6\ub294 \uae30\uc220\ub85c \uac00\ub2a5) \uc778\uac04\uc758 \uc0b6\uc758 \ubb38\uc81c\uc778\ub370 civil\uc744 \uc704\ud55c\ub2f5\uc2dc\uace0 civil engineering (\uc0b0\uc5c5\uacf5\ud559)\uc744 \uc704\uc2dc\ub85c scientific technology\uc5d0 \\&#8217;\ubb34\ud55c\uc758\\&#8217; \ubc1c\uc804\uc744 \uc11c\uc2b4\uc5c6\uc774 \ub9d0\ud558\ub294\ub370, \uadf8\ub7f0 \ubc18\uc131\uc5c6\ub294 \uc120\ud615\uc801 \ubc1c\uc804 \ub450\ub835\uae30\ub3c4\ud574\uc11c&#x2026; \uc774\ub294 \ud658\uacbd, \uc5d0\ub108\uc9c0 \ub4f1\uc758 \ubb38\uc81c\uc5d0 \uc801\uadf9\uc801\uc778 \ud615\ud0dc\ub85c \uc9c0\ud61c\ub85c\uc640\uc57c \ud560 \ubfd0 \uac19\uc2b5\ub2c8\ub2e4. \uad6d\uac00(nation)\uc801 power\uc640 \uac19\uc740 \uc880 \ub113\uc740 \uc778\ubb38\ud559\uc801 \uc774\uc57c\uae30\ub294 \ub17c\uc678\ub85c \ub450\ub354\ub77c\ub3c4&#x2026; <\/p>\n<p> \uc800\ub294 \uc0ac\ub78c\uc774\ub77c\ub294 \ub3d9\ubb3c\uc774 \uba78\ub9dd\ud558\uba74 \ud53c\ud0c0\uace0\ub77c\uc2a4\uc758 \uc0bc\uac01\ud615\uc774\ub4e0 \uc815\ub9ac\ub4e0 \ubb50\ub4e0 \uc218\ud559\uacfc \uac19\uc740 \uac83 \uc778\uac04\uc774 \ub2e4\uc2dc \ubd80\ud65c\ud558\uc9c0 \uc54a\ub294 \uc774\uc0c1 \ub2e4\uc2dc \ubd80\ud65c \ubabb\uc2dc\ud0ac \uac83\uc73c\ub85c \uc0dd\uac01\ud569\ub2c8\ub2e4&#x2026; <\/p>\n<p> \u2464 \uc218\ud559\uc790 \uac70\uc758 \ub300\ubd80\ubd84 \uacb8\uc190\ud558\ub2e4 \ubbff\uc2b5\ub2c8\ub2e4.(\uacbd\ud5d8\uacfc \uad00\ub828\ub41c \ubbff\uc74c\uc785\ub2c8\ub2e4.) \uc798\ub09c\uccb4\ud574\ub3c4 \uc21c\uc218\ud574\ubcf4\uc774\uad6c\uc694. \uadf8\ub7f0 \uc21c\uc218\ud55c \uc798\ub09c\uccb4\ub97c \uc5ed\uc774\uc6a9\ud574\uc11c \ub9ce\uc774 \ubc30\uc6cc \ubcf4\ub824\uace0 \ud588\ub358 \uc0ac\ub78c\uc774 \ubc14\ub85c \uc800\uc774\uae30\ub3c4 \ud558\uad6c\uc694.^^ <\/p>\n<p> \uc815\ub9d0 \ub450\uc11c\ub3c4 \uc5c6\uace0, \ub204\uad70\uac00 \uc54c\uc544\uba39\uac8c\ub054 \uc37c\ub294\uc9c0\ub3c4 \uc758\ubb38\uc785\ub2c8\ub2e4. ^^ \uc544\ubb34\ud2bc \ub0a0\uc528\uac00 \ucda5\uc2b5\ub2c8\ub2e4. \ub2e4\ub4e4 \uc798 \uc9c0\ub0b4\uc2dc\uc8e0? \ubaa8\ub450\ub4e4 \uac74\uac15\ud558\uc138\uc694~ ^^ <\/p>\n<p> (\ubd80\uc5f0\ub41c \ucc98\uc74c \uc800\uc758 \uc9c8\ubb38\uc5d0 \ub300\ud55c \uc694\uc57d) \u2190 \uc704\uc5d0 \uae00 \uc911\uc5d0 \ud3ec\ud568\ub41c \ubd80\ubd84\uc785\ub2c8\ub2e4. <\/p>\n<p> \u2460reality(\uc2e4\uc7ac)\ub97c \uc218\ud559\uc801 \uc5b8\uc5b4\uc758 \uc758\ubbf8\uac00 \uc5f4\uc2ec\ud788 \uc124\uba85\uc740 \ud558\uace0 \uc788\ub2e4\uace0 \uc0dd\uac01\uc774 \ub418\ub294\ub370, \uc124\uba85 \uc548 \ub418\ub294 \ubd80\ubd84\uc744 \uc0dd\uac01\uc774\ub098 \ud558\uba74\uc11c \uc5f4\uc2ec\ud788 \uc124\uba85\ud558\ub290\ub0d0\ub294 \uac83\uc774\uc9c0\uc694. <\/p>\n<p> \u2461\uc218\ud559\uc73c\ub85c \uac00\ub2a5\ud55c \uc0c1\uc0c1\ub825\uc774 \uc5b4\ub514\uae4c\uc9c0\uc778\uac00\ub3c4 \ubb34\ucc99 \uad81\uae08\ud558\uc9c0\ub9cc, (\uad50\uc218\ub2d8\uc774 \uc774\ud574\ud558\uc2e0) \uc774\ub7ec\ud55c \uc218\ud559\uc73c\ub85c\ub9cc \uac00\ub2a5\ud55c \uc0c1\uc0c1\ub825\uc758 \ud55c\uacc4\ub97c \uc0dd\uac01\ud558\uae30 \uc804\uc5d0, \uc9c0\uae08\uae4c\uc9c0 \ub098\uc628 fancy\ud55c \uc774\ub860\uc774 \uc5b4\ub5a4 \uc138\uc0c1\uc744 \uc124\uba85\ud558\ub294\uc9c0\ub3c4 \uad81\uae08\ud569\ub2c8\ub2e4. <\/p>\n<p> \u2462\uc774\ub7f0 \uac83\uc774 \ubc25 \ube4c\uc5b4\uba39\ub294 \uc77c\uc778\uc9c0, \uc5ed\uc0ac\uc801\uc73c\ub85c \uc5bc\ub9c8\ub098 \uac00\uce58\uc788\ub294 \uc77c\uc778\uc9c0&#x2026; \uc774 \ubb38\uc81c\ub294 \uc0ac\uc2e4\uacfc \uac00\uce58(\ud544\uc5f0)\uc5d0 \ub300\ud55c \uc9c8\ubb38\uc73c\ub85c \uad6c\uccb4\ud654\uc2dc\ud0ac \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc804 \uadf8\ub807\uac8c \ubcf5\uc7a1\ud558\uac8c \uc0dd\uac01\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. <\/p>\n<p> \uc218\ud559\uc73c\ub85c \ubaa8\ub4e0 \uac83\uc744 \uc124\uba85\ud560 \uc218 \uc5c6\uc744 \uc9c0\ub3c4 \ubaa8\ub985\ub2c8\ub2e4. \uc775\ud788 \uc54c\uace0 \uc788\ub294 \uad34\ub378\uc758 \ubd88\uc644\uc804\uc131 \ub17c\ub9ac\uc5d0\uc11c\ub3c4 \uc99d\uba85\ud560 \uc218 \uc5c6\ub294 \uba85\uc81c\uac00 \uc874\uc7ac\ud568\uc744 \uc99d\uba85\ud558\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub807\ub2e4 \ud558\ub354\ub77c\ub3c4 \uc218\ud559\uc758 \uc2dc\uc791\uc740 \uc870\uae08\uc774\ub77c\ub3c4 \uc774 \uc138\uc0c1\uc744 \uc124\uba85\ud558\uace0 \uc2f6\uc5b4\uc11c\uc600\ub2e4\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uadf8\ub798\uc11c \ub9ce\uc740 \ubd80\ubd84 \uc124\uba85\ud560 \uc218 \uc788\uc5c8\uace0, \uc2e4\uc81c\ub85c \ub9ce\uc740 \uacf3\uc5d0 \ub3c4\uc6c0\uc774 \ub41c \uac83\ub3c4 \uc0ac\uc2e4\uc785\ub2c8\ub2e4. <\/p>\n<p> \ubc25\ube4c\uc5b4\uba39\uae30 \uc704\ud574\uc11c\ub77c\uba74 \uc218\ud559\ubcf4\ub2e4\ub294 \uc815\ub9d0\ub85c \ub3c4\uc6c0\uc774 \ub418\ub294 \uae30\uc220\uc9c1\uc744 \ud0dd\ud558\uc2dc\ub294 \uac83\uc774 \uc5b4\ub5a8\uc9c0..(\ud615 \uc598\uae30\ud558\ub294 \uac83\uc774 \uc544\ub2d9\ub2c8\ub2e4. \uc218\ud559\uc744 \ubc25\ube4c\uc5b4\uba39\ub294 \ud559\ubb38\uc73c\ub85c \uc0dd\uac01\ud558\ub294 \uc0ac\ub78c\uc5d0\uac8c \ud558\ub294 \uc598\uae30\uc784.) \uc800\ub294 \uc801\uc5b4\ub3c4 \ubc25\uc774\ub098 \ube4c\uc5b4\uba39\uc744\ub824\uace0 \uc218\ud559\uc744 \ud558\uc9c0\ub294 \uc54a\uc2b5\ub2c8\ub2e4. \uadf8\ub0e5 \uc218\ud559 \uc790\uccb4\uc5d0 \ub9e4\ub825\uc774\uc788\uc2b5\ub2c8\ub2e4. \ub180\ub78d\uae30\ub3c4 \ud558\uace0\uc694. \uadf8 \uc99d\uba85\uc774\ub77c\ub294 \uac83\uc744 \ubcf4\uba74 \uad6c\uad6c\uc808\uc808\uc774 \ub2e4 \ub17c\ub9ac\uc801(\ubaa8\uc21c\uc774 \uc5c6\uc774)\uc73c\ub85c \uc4f0\uc5ec\uc9c0\uace0 \uc788\uac70\ub4e0\uc694. \uadf8\ub7ec\ub2c8\uae4c \uc6b0\ub9ac\uac00 \uac00\uc815\ud55c \uacf5\ub9ac\ub9cc \ud2c0\ub9bc\uc774 \uc5c6\ub2e4\uba74 \uc815\ub9ac\ub85c \uc4f0\uc5ec\uc9c4 \uadf8 \uc0ac\uc2e4\uc740 \uc815\ub9d0 \\&#8221;\uc0ac\uc2e4\\&#8221;\uc778 \uac83\uc774 \ub418\uc5b4\uc9c0\uace0 \ub9d0\uc9c0\uc694. (\ub0b4\uac00 \ubaa8\ub974\ub294 \ubaa8\uc21c\uc774 \uc788\ub2e4\uba74 \uc544\ub2d0\ud14c\uace0\uc694) \uadf8\ub7f0\ub370 \uc2e0\uae30\ud558\uac8c\ub3c4 \uacf5\ub9ac\ub9cc \uc880 \ubc14\uafd4\ubc84\ub9ac\uba74 \uadf8 \uc815\ub9ac\ub294 \uc774\uc81c \uc0ac\uc2e4\uc774 \uc544\ub2cc \uc815\ub9ac\uac00 \ub418\uc5b4\ubc84\ub9ac\uac70\ub4e0\uc694. \uadf8\ub9ac\uace0 \ub9ce\uc774 \uacf5\ubd80\ud558\ub2e4\ubcf4\uba74 \ub610 \uad81\uae08\uc99d\ub3c4 \ucc28\uce30 \uc0dd\uae30\uaca0\uc9c0\uc694. \uc99d\uba85\ub420 \uc218 \uc5c6\uc744 \uc815\ub9ac\uc77c\uc9c0\ub294 \ubab0\ub77c\ub3c4 \uadf8\uac83\uc744 \uc99d\uba85\ud574\ubcf4\ub824\uace0 \ub9e4\ub2ec\ub9b4\ud14c\uace0\uc694. <\/p>\n<p> \uc5b4\uca4c\uba74 \uadf8\ub7ec\ub2e4\ubcf4\ub2c8 \uc218\ud559\uc774 \ucc98\uc74c\uc758 \uc2dc\ub3c4\uc640\ub294 \ub2e4\ub974\uac8c \uc758\ubbf8\ub97c \ubaa8\ub974\uaca0\ub294 \ub2e8\uc21c\ud55c \uc2dd\uacfc \ubb38\uc790\uc758 \ub098\uc5f4\uc774 \ub418\uc5b4\ubc84\ub9b4 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \ubd84\uba85 \uc624\ub958\uac00 \uc5c6\ub294 \uc815\ub9ac\uc9c0\ub9cc \uadf8\uac8c \uc65c \uc4f8\ubaa8\uac00 \uc788\ub294\uc9c0\ub294 \ubaa8\ub974\uaca0\ub294.. \ud558\uc9c0\ub9cc \ub9e8 \ucc98\uc74c \uc804\uc790\uae30\uc720\ub3c4\ub97c \ubc1c\uacac\ud55c \ud328\ub7ec\ub370\uc774\ub3c4 \uadf8\uac83\uc744 \ubc1c\uacac\ud558\uace0 \uc5b4\ub9b0\uc544\uc774\ucc98\ub7fc \uc88b\uc544\ud558\ub294 \uadf8\ub97c \ubcf4\uace0 \uac00\uc815\ubd80\uac00 \\&#8221;\uc5b4\ub514\uc5d0 \uc4f8 \uc9c0\ub3c4 \ubaa8\ub974\ub294 \uac83\uc744 \ubc1c\uacac\ud558\uace0\ub294 \uadf8\ub807\uac8c \uc88b\uc544\ud558\ub290\ub0d0?\\&#8221;\ub77c\uace0 \ubb3c\uc740 \ub300\ub2f5\uc5d0 \uc774\ub807\uac8c \uc598\uae30\ud588\ub2f5\ub2c8\ub2e4. \\&#8221;\ub204\uad6c\ub77c\ub3c4 \uc560\uae30\ub97c \ub0b3\uc744 \ub54c \uadf8 \uc544\uae30\uac00 \ubb34\uc5c7\uc744 \ud558\ub9ac\ub77c\uace0 \uc608\uc0c1\ud558\uace0 \uc544\uae30\ub97c \ub0b3\uc9c0\ub294 \uc54a\uc2b5\ub2c8\ub2e4.\\&#8221;\ub77c\uace0. \uacb0\uad6d \uadf8 \uc804\uc790\uae30\uc720\ub3c4 \ub54c\ubb38\uc5d0 \uc138\uc0c1\uc73c\ub85c\ubd80\ud130 \uc804\uae30\ub97c \ub04c\uc5b4\ub0b4\uace0 \uc6b0\ub9ac\uac00 \uc774\ub807\uac8c \ubb38\uba85\uc0dd\ud65c\uc744 \ud558\uac8c \ub420 \uc904\uc740 \uadf8\ub3c4 \ubab0\ub790\uaca0\uc8e0.. \uc218\ud559\ub3c4 \uadf8\ub7f0 \uac83 \uc544\ub2d0\uae4c\uc694? <\/p>\n<p> \ub2e8\uc21c\ud788 \uc55e\uc5d0 \uc788\ub294 \ubb38\uc81c\ub9cc\uc744 \ud480\uae30 \uc704\ud55c\ub2e4\uba74 \uc774\ub807\uac8c \uacf5\ub9ac\uc5d0 \uc815\ub9ac\uc5d0 \uc774\ub7f0 \uc2dd\uc758 \uc218\ud559\uc774 \ubc1c\uc804\ud558\uc9c0\ub294 \uc54a\uc558\uaca0\uc8e0.. \uc608\ub97c \ub4e4\uba74 \uc774 \uc138\uc0c1\uc758 \uae30\ud558\ub97c \uc54c\uae30 \uc704\ud574 \uc720\ud074\ub9ac\ub4dc \uacf5\ub9ac\ub97c \uc138\uc6b0\uc9c0 \uc54a\uace0 \uadf8\ub0e5 \ud604\uc0c1\uc744 \uad00\ucc30\ud55c\ub2e4 \ud574\ub3c4 \uae30\ud558\ub97c \uc544\ub294 \ub370\ub294 \ubb34\ub9ac\ub294 \uc5c6\uc5c8\uc744 \uac83\uc785\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uadf8\uac83\uc744 \uacf5\ub9ac\ub97c \uc138\uc6b0\uace0 \ud558\ub2c8\uae4c, \uadf8 \uacf5\ub9ac\ub97c \ub9cc\uc871\ud558\ub294 \ub2e4\ub978 \uacf3\uae4c\uc9c0 \uc801\uc6a9\uc774 \uac00\ub2a5\ud574\uc84c\ub2e4. \uc989, \uc218\ud559\uc758 \ubc1c\uc804\uc73c\ub85c \ud558\ub098\ubc16\uc5d0 \ubaa8\ub97c \ubed4\ud588\ub358 \uc0ac\uc2e4\uc744 \ub2e4\ub978 \uacf3\uae4c\uc9c0 \uc801\uc6a9\ud574\uc11c \uc54c \uc218 \uc788\uc5c8\ub2e4-\ub77c\ub294 \ub9d0\uc774\uc8e0. (\uc800\ub294 \ubcf5\uc7a1\ud558\uac8c \uc0dd\uac01\ud558\uba74 \uba38\ub9ac\uc544\ud504\ub2c8 \\&#8221;\ubc1c\uc804\\&#8221;\uc744 \uadf8\ub300\ub85c \uc4f0\uaca0\uc2b5\ub2c8\ub2e4) \uc720\ud074\ub9ac\ub4dc \uacf5\ub9ac\uc758 \uc810\uc744 \ub3d9\uc804\uc73c\ub85c, \uc120\uc744 \uc9c0\uac11\uc73c\ub85c \uc0dd\uac01\ud558\uba74 \\&#8221;\ub450 \uc810\uc740 \ud55c \uc9c1\uc120\uc744 \ub9cc\ub4e0\ub2e4\\&#8221;\ub294 \uacf5\ub9ac\ub294 \\&#8221;\ub450 \ub3d9\uc804\uc774 \ud55c \uc9c0\uac11 \uc548\uc5d0 \uc788\ub2e4.\\&#8221; \uc774\ub7f0 \uc2dd\uc73c\ub85c \ud558\uac8c\ub054 \uc815\ud574\ub193\uc73c\uba74 \uadf8 \ub3d9\uc804-\uc9c0\uac11\uccb4\uacc4\uc5d0 \uadf8\ub300\ub85c \uc720\ud074\ub9ac\ub4dc \uae30\ud558\ud559\uc758 \uc815\ub9ac\ub97c \uc801\uc6a9\ud574\ub3c4 \ubaa8\uc21c\uc774 \uc5c6\ub2e4\ub294 \uac83\uc774\uaca0\uc9c0\uc694. <\/p>\n<p> \uc218\ud559\uc740 \uad81\uae08\ud558\ub2c8\uae4c \uc0dd\uac01\ud574\ubcf8\uac70\uace0, \uc0dd\uac01\uc774 \uc815\ub9ac\ub418\uba74 \uae30\uc220\ud558\uace0, \uadf8\uac83\uc744 \uc313\uc544\uc11c \ub354 \ub192\uc740 \uc0dd\uac01\uc744 \ud558\uace0. \uc774\ub7ec\ud55c \ud589\uc704\uc758 \ubc18\ubcf5\uc774\ub77c\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \ubb3c\ub860 \ud544\uc694\ud574\uc11c \ud558\ub294 \uc218\ud559\ub3c4 \uc788\uaca0\uc9c0\ub9cc \ud544\uc694\uc5c6\uc774, \uad81\uae08\ud558\ub2c8\uae4c \ud558\ub294 \uc218\ud559\ub3c4 \uad1c\ucc2e\uc744 \uac83 \uac19\uc740\ub370\uc694. \ube44\ub85d \uadf8\uac83\uc774 \uc0ac\uc6d0\uc218\ucc98\ub7fc \ud544\uc694\uc5c6\uc5b4\uc11c \uc4f0\uc774\uc9c0 \uc54a\uac8c \ub41c\ub2e4 \ud558\ub354\ub77c\ub3c4 \uc5b8\uc820\uac00\ub294 \ub610 \ud544\uc694\ud560\uc9c0\ub3c4 \ubaa8\ub974\ub2c8\uae4c\uc694.. <\/p>\n<p> &#8221;&#8217;\uc774\uacbd\uc77c&#8221;&#8217; \uae00 \uc798 \uc77d\uc5c8\uc2b5\ub2c8\ub2e4&#x2026; <\/p>\n<p> \uae00 \uc798 \uc77d\uc5c8\uc2b5\ub2c8\ub2e4. \uc81c\uac00 \uc694\uad6c\ud558\ub294\ub370 \uc788\ub294(\uc9c8\ubb38\ud558\ub294\ub370 \uc788\ub294) \uc81c \uae00\uc758 \ub0b4\uc6a9\uc5d0 \uacf5\uac10\ud558\ub294 \uae00\ub85c \uc774\ud574\ub429\ub2c8\ub2e4. \uae00\uc744 \uc5b4\ub5a4 \uc21c\uc218\ud55c(!!) \uc758\ub3c4\uc5d0\uc11c \uc37c\ub294\uc9c0\ub294 \ubab0\ub77c\ub3c4.. ^^;; <\/p>\n<p> \ud55c\uac00\uc9c0 \uc9d1\uace0 \ub118\uc5b4\uac00\uace0 \uc2f6\uc740 \uac83\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc81c\uac00 \uc9c8\ubb38\ud558\ub294 \uac83\uc744 &#8216;\uc5b4\ub5a4 \uc758\ubbf8\ub97c \uac16\ub290\ub0d0&#8217;\ub294 \uac83\uc774\uc9c0 &#8216;\uc5b4\ub5a4 \uc4f8\ubaa8\uac00 \uc788\ub290\ub0d0&#8217;\ub294 \uac83\uc774 \uc544\ub2c8\ub77c\ub294 \uac83\uc774\uace0, &#8216;\uc138\uc0c1\uc744 \uc124\uba85\ud558\ub294\ub0d0&#8217;\ub294 \uac83\uc774\uc9c0 &#8216;\uae30\uc220\uc5d0 \uc801\uc6a9\ud558\ub294\ub370 \uc5b4\ub5a4 \ud61c\ud0dd\uc774 \uc8fc\uc5b4\uc9c0\ub0d0&#8217;\ub294 \uac83\uc774 \uc544\ub2c8\ub77c\ub294 \uac83\uc785\ub2c8\ub2e4. <\/p>\n<p> \uc5ec\uae30\uc5d0 \uacb0\uacfc\uc801\uc73c\ub85c \uc5b4\ub5a4 \uc4f8\ubaa8\uac00 \uc0dd\uacbc\uace0, \uc5b4\ub5a4 \ud61c\ud0dd\uc774 \uc8fc\uc5b4\uc84c\ub2e4\uace0\ub4e4 \ud558\ub294\ub370, \uadf8\uac83\uc774 \uacfc\uc5f0 \ud61c\ud0dd\uc774\ub77c\uace0 \ub9d0\ud560 \uc218 \uc788\ub290\ub0d0\ub294 \uac83\uc774 \ub610 \ub2e4\ub978 \uc9c8\ubb38\uc774\uc5c8\uad6c\uc694. <\/p>\n<p> \ub2e4\uc2dc\ub9d0\ud574\uc11c \uc608\ub97c \ub4e4\uba74 \uc218\ud559\uc801 line integral\uc774 (\uac70\ub9ac)*(\ud798) \uc774\ub77c\uace0 \uc0dd\uac01\ud588\ub358 \uc5d0\ub108\uc9c0 \uc774\uc57c\uae30\uc5d0 \ud798\uc744 \uc2e4\uc5b4\uc8fc\uace0 \uc138\uc0c1\uc744 \uc124\uba85\ud558\uace0 \uc788\ub294 \uac83\uc740 \uac19\uc740\ub370, \ub2e4\ub978 \uc218\ud559\uc801 \uac1c\ub150\uc740 \uc138\uc0c1\uc744 \uc124\uba85\ud558\ub294 \ub4ef \ubcf4\uc774\uc9c0 \uc54a\uc544 \ubcf4\uc774\uace0, \uc138\uc0c1\uc744 \ub2e4 \uc124\uba85\ud558\ub294 \uac83 \uac19\uc9c0\ub3c4 \uc54a\uc544 \ubcf4\uc5ec\uc11c \uc9c8\ubb38 \ub4dc\ub9b0 \uac83\uc774\uc9c0\uc694. \uc6c5\uc6a9\uc774\uac00 \ub9d0\ud55c \ud328\ub7ec\ub370\uc774\uc758 \uc804\uc790\uae30\uc720\ub3c4\ubc95\uce59\uc744 \uc368\uba39\ub294 \uac83\ub3c4, \ud55c \uc9c0\uac11 \uc548\uc5d0 \ub450 \ub3d9\uc804\uc774 \ub4e4\uc5b4\uac00\uac8c \ud558\ub294 \uac83\ub3c4 \ubaa8\ub450 \uae30\uc220\uc758 \uc801\uc6a9\uc758 \uc774\uc57c\uae30\uac00 \uc544\ub2d0\uae4c \ud569\ub2c8\ub2e4. <\/p>\n<p> \uc880 \ub113\uac8c \uc0dd\uac01\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. <\/p>\n<p> \uc218\ud559(\uadf8\ub9ac\uc2a4 \uc218\ud559)\u2192 \ubb3c\ub9ac(\ub274\ud2bc)\u2192 \ud654\ud559(\ub77c\ubd80\uc544\uc9c0\uc5d0)\u2192 \ud604\ub300\ubb3c\ub9ac(\uc0c1\ub300\ub860, \uc591\uc790\ub860)\u2192\uc218\ud559 <\/p>\n<p> \uc774\ub7ec\ud55c \ud750\ub984 \uc18d\uc5d0 \uc218\ud559\uc740 \uc790\uae30 \ud559\ubb38\uc774 \uc544\ub2c8\ub354\ub798\ub3c4 \ub298 \uc801\uadf9\uc801\uc778 \ud6c4\uc6d0\uc790\uc600\ub2e4\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uc218\ud559\uc740 \uc774\ub97c \uaff0\ucc28\uace0 \uc788\ub2e4\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \uaf2d \ud3ec\uc7a5\ub9c8\ucc28\uc5d0\uc11c \uba39\ub294 \uaf2c\uce58\uc758 \ub9c9\ub300\uae30 \uc5ed\ud560\ucc98\ub7fc, \ud639\uc740 \uc870\uc9c1\uc138\ud3ec\uc5d0 \uc218\ud608\ud574\uc8fc\ub294 \ud608\uad00\uc744 \uad00\ud1b5\ud558\ub294 \ubd89\uc740\ud53c\ucc98\ub7fc&#x2026; <\/p>\n<p> \uc5ec\uae30\uc11c \ubb38\uc81c\ub420 \uac83\uc740 \uacf5\uc5c5\uae30\uc220, \uc758\ud559\uae30\uc220\uc5d0 \ubb3c\ub9ac(\uace0\uc804\uc801 physical language), \ud654\ud559(substantial language), \ud604\ub300\ubb3c\ub9ac(quantum language)\uc801\uc778 \uc9c0\uc2dd\uc758 \uac1c\uc785\uc785\ub2c8\ub2e4. <\/p>\n<p> \ubb3c\ub860 \uc55e\uc5d0\uc11c\uc758 \uc9c8\ubb38\uc744 &#8220;\uc774\ub7f0 \uacfc\ud559\uc774 \uc801\uc6a9\ub41c \uae30\uc220 \uc989 physical experiment(\ubb3c\ub9ac\uc801 \uc2e4\ud5d8), chemical experiment(\ud654\ud559\uc801 \uc2e4\ud5d8)\ub97c \ud1b5\ud574, \uc138\uc0c1\uc744 \uc124\uba85\ud558\ub294\ub370 \ubc14\ub77c\ubcf4\uace0, \uc218\ud559\uc758 \uc758\ubbf8\ub97c \ucc3e\ub294\ub370, \ub3c4\uc6c0\uc774 \ub418\ub294 \uac83\uc740 \uc0ac\uc2e4\uc774\uace0, civil\uc744 \uc704\ud558\ub294\ub370 \ub3c4\uc6c0\uc774 \ub418\ub294 \uac83\uc740 \uac19\uace0, \uc778\uac04\uc758 \uc0dd\uba85\uc744 \uc704\ud558\ub294\ub370 \ub3c4\uc6c0\uc774 \ub418\ub294 \uac83\uc740 \uac19\uc740\ub370, \uc774\ub7f0 \uac83\uc774 \ud61c\ud0dd\uc744 \uc8fc\ub294 \uac83 \uac19\uc73c\uba74\uc11c\ub3c4 \ubcd1\uc8fc\uace0 \uc57d\uc8fc\ub294 \uc2dd\uc774 \uc544\ub2c8\ub0d0&#8221;\ub294 \uc2dd\uc758 \uc9c8\ubb38\uc73c\ub85c, \uc9c1\uc811\uc801\uc73c\ub85c \uc2e4\ud5d8\ubb3c\ub9ac\ud559\uc790\ub098, \uc2e4\ud5d8\ud654\ud559\ud559\uc790\uc5d0\uac8c \ud574\uc57c\ud558\uc9c0 \uc54a\uc558\ub098 \ud558\ub294 \uc0dd\uac01\uc774 \ub4e4\uae34\ud558\uc9c0\ub9cc&#x2026; <\/p>\n<p> \ud558\uc9c0\ub9cc \ucd5c\uadfc \uae30\uc220\uc5d0 \uc9c1\uc811\uc801\uc73c\ub85c \uac1c\uc785\ud558\ub294 \uc218\ud559\uc744 \uc0dd\uac01\ud574\ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub514\uc9c0\ud138 \uae30\uc220\uc5d0 \uc218\ud559\uc801\uc778 \uc5b8\uc5b4\uac00 \uc9c0\uc2dd\uc774 \uac1c\uc785\ud558\uace0 \uc788\uc2b5\ub2c8\ub2e4. \ubb3c\ub860 \ub514\uc9c0\ud138 \uae30\uc220\uc740 \ubb3c\ub9ac, \ud654\ud559, \ud604\ub300\ubb3c\ub9ac\uc801\uc778 \ucd95\uc801(accumulation)\ub41c \uc9c0\uc2dd\uc744 \uc4f0\uba70, \uc774\uc5d0 \ucd5c\uadfc\uc758 \uc218\ud559\uc801 \uc5b8\uc5b4\ub97c \uac00\uc838\ub2e4 \uc4f0\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \uc554\ud638\ud559(access\ud558\ub294\ub370 \ubc29\ud574(?)\ud558\ub294 \uae30\uc220)\ub3c4 \uc774\ub7f0 \uae30\uc220\uc774 \ub420 \uc218 \uc788\uc744 \uac83\uc785\ub2c8\ub2e4. \uc774\ub294 \uc9c1\uc811\uc801\uc73c\ub85c \uc2e4\ud5d8\ubb3c\ub9ac\ud559\uc790\ub098, \uc2e4\ud5d8\ud654\ud559\ud559\uc790\uc5d0\uac8c\ub098 \ud574\uc57c\ud558\ub294 \uc9c8\ubb38\uc774 \uc544\ub2d0 \uc218 \uc788\ub2e4\ub294 \uac83\uc774\uc9c0\uc694. <\/p>\n<p> \uc6c5\uc6a9\uc774\uc758 \ud544\uc694\uc5c6\uc5b4 \ubcf4\uc5ec\ub3c4 \ud558\ub294, \uc21c\uc218\ud55c \ud638\uae30\uc2ec\uc758 \uc218\ud559\uc801\uc778 \ud65c\ub3d9 \uacf5\uac10\ub418\uc5b4\uc9c0\uace0, \uc5f4\uc2ec\ud788 \ud558\ub294 \ubaa8\uc2b5\uc5d0 \uace0\uac1c\uc219\uc5ec\uc9c0\uace0, \uc874\uacbd\ud558\uac8c \ub429\ub2c8\ub2e4. \uc5b4\ub5bb\uac8c \ubcf4\uba74 \uc218\ud559\uc801 logical\ud55c proof \ub77c\ub4e0\uac00 logical\ud55c calculation \uac19\uc740 \uac83\uc744 \ub204\uad70\uac00\uac00 \ud574\uacb0\ud558\uba74 \ud560\uc218\ub85d \uc6b0\ub9ac\uc758 \uafc8\uc740 \uadf8\ub9cc\ud07c \uc904\uc5b4\ub4e0\ub2e4\uace0 \ud560 \uc218\ub3c4 \uc788\uace0, \uc6b0\ub9ac\uc758 \uad81\uae08\uc99d\uc5d0 \ubb34\uc2dc\ub77c\ub3c4 \ud558\uace0 \uc788\ub294 \ub4ef \ubcf4\uc77c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc218\ud559\uc801 \uc9c0\uc2dd(\uc5b8\uc5b4\uc778 \uac83\uc740 \ubaa8\ub450 \uadf8\ub807\ub2e4\uace0 \uc0dd\uac01\ub418\uc9c0\ub9cc)\uc740 \ucd95\uc801\ub418\uc5b4\uc9d1\ub2c8\ub2e4. \uc544\ub294 \uac83\uc774 \ub9ce\uc744\uc218\ub85d \ubaa8\ub974\ub294 \uac83\ub3c4 \ub9ce\uc544\uc9c0\ub294\ub370, \ub610\ud55c \uc774\ub7ec\ud55c \ucd95\uc801 \ub54c\ubb38\uc5d0 \ubaa8\ub974\ub294 \uac83\uc744 \uc54c\uc544\uac00\ub294 \uac83 \ub610\ud55c \ub108\ubb34\ub3c4 fancy\ud574\uc11c \uc5b4\ub824\uc6b8 \uc218\ub3c4 \uc788\ub2e4\ub294 \ub9d0\uc785\ub2c8\ub2e4&#x2026; \uadf8\ub798\uc11c \uc694\uc998 \uc80a\uc740 \uc0ac\ub78c\ub4e4\uc740 \uc774\ub7ec\ud55c \uc9c0\uc2dd\ubcf4\ub2e4 \uc608\ub97c \ub4e4\uba74 \ucda4\uc5d0 \uc0b6\uc774 \ub354 \ubc00\ucc29\ub3fc\uc788\ub294 \uac83\uc73c\ub85c \ubcf4\uc5ec\uc9c0\uae30\ub3c4 \ud558\uad6c\uc694. \uc5ec\uae30\uc5d0 \uc0c1\ub300\uc801\uc778 \ud559\uc810, \uc131\uc801 \uc77c\uc870 \ud558\uc9c0\uc694? \uc774\uac83\ub9cc\uc758 \ubb38\uc81c\ub3c4 \uc544\ub2c8\uace0, \uc774\uac74 \ub108\ubb34 \uc774 \uac8c\uc2dc\ud310\uc5d0\uc11c\ub294 \ubbfc\uac10\ud560 \uc218 \uc788\ub294 \uc774\uc57c\uae30\ub77c \uc5ec\uae30\uae4c\uc9c0. \ubb3c\ub860 \ucda4\uc774 \uc800\uae09\ud55c \uadf8\ub7f0 \uac83\uc774\ub77c\ub294 \uac83\uc740 \uc544\ub2d9\ub2c8\ub2e4. \ub178\ub798\uc758 \uc0dd\uba85\uc740 &#8216;\ub178\ub798\ub9cc\ud07c \ub9d0\uc744 \uc798 \ubabb\ud558\ub294 \ub2a5\ub825&#8217;\uc774\uace0, \ucda4\uc758 \uc0dd\uba85\uc740 &#8216;\ucda4\uc744 \uc798 \ucd94\ub294 \ub9cc\ud07c \ub178\ub798\ub97c \uc798 \ubabb\ud558\ub294 \ub2a5\ub825&#8217;\uc774\ub77c\uace0 \uc0dd\uac01\ud569\ub2c8\ub2e4. \ub9d0\ubabb\ud560 \uc218\ubc16\uc5d0 \uc5c6\ub294 \uccad\uac01\uc7a5\uc560\uc778\uc758 \ucda4\uc774\ub77c\ub294 \uac83\uc740 \ub300\ub2e8\ud569\ub2c8\ub2e4&#x2026; \uc774\uc57c\uae30\uac00 \ub534\ub370\ub85c \ud758\ub800\ub124\uc694 ^^ <\/p>\n<p> \ub610 \ud55c\uac00\uc9c0 \uc694\uc998\uc758 \uae30\uc220\uc9c1\uc740 \uace0\uc804\uc801\uc778 \ubb3c\ub9ac\ub098, \uace0\uc804\uc801\uc778 \ud654\ud559\uc774\ub098, \ud604\ub300\ubb3c\ub9ac\ud559\uc774\ub098, \ud604\ub300\uc218\ud559\uc774 \ubc14\ud0d5\uc774 \uc548\ub41c \uac83\uc744 \ucc3e\uc544\ubcf4\uae30 \ud798\ub4ed\ub2c8\ub2e4. \ub18d\uc57d \uc5c6\uc774, \uc18c\ub9cc\uac00\uc9c0\uace0 \ub18d\uc0ac\uc9d3\uace0, \ube44\ub2d0\ud558\uc6b0\uc2a4 \uc5c6\uc774 \uc57c\ucc44 \uae30\ub974\ub294 \uc77c, \ub610 \ub0c9\uc7a5\uace0 \uc5c6\ub294 \uace0\uae30\uc7a1\uc774\ub294 \uc0c1\uc0c1\ud558\uae30 \ud798\ub4ed\ub2c8\ub2e4. \ub18d\uc57d\uacfc \uc628\uac16 \uae30\uacc4, \ucd5c\ucca8\ub2e8 \ube44\ub2d0\ud558\uc6b0\uc2a4\uc5d0 \uc601\uc591\uac00 \ub192\uc740 \ud654\ud559\ube44\ub8cc\ub97c \uc4f0\uc9c0 \uc54a\ub294 \ub18d\uc0ac\ub098 \ub0c9\uc7a5\uace0 \uc5c6\ub294 \uace0\uae30\uc7a1\uc774\ub294 \ud604\ub300 \uc0ac\ud68c\uc758 \uc0b6\uc758 \uc758\ubbf8\ub97c \ucda9\uc871\uc2dc\ud0a4\uc9c0 \ubabb\ud55c\ub2e4\ub294\ub370 \uc788\uc9c0\uc694. \uc790\uc2dd\uc744 \uc704\ud55c \ub108\ubb34\ub3c4 \ube44\uc2fc \ub4f1\ub85d\uae08, \uadf8\ub7f0 \ub300\ub7c9\uc0dd\uc0b0\uc744 \uc548 \ud55c\ub2e4\uba74 \uc0ac\ud68c\uc5d0\uc11c \uc8fc\ub294 \ubc15\ud0c8\uac10(\uc6b0\uc120\uc801\uc73c\ub85c \uc138\uae08\uc73c\ub85c \uc778\ud55c \uae08\uc804\uc801\uc778 \ubb38\uc81c\ub97c \uc0dd\uac01\ud560 \uc218 \uc788\uc9c0\uc694.)\ub4f1\ub4f1.. \uadf8\ub807\ub2e4\uba74 \ud560 \uc218 \uc5c6\uc774 \uacfc\ud559\uacfc \uc218\ud559\uc758 \ubc14\ud0d5 \uc704\uc5d0 \uc788\ub294 \uae30\uc220\uc9c1\uc740? \uc5bc\ub9c8 \uc804\uc5d0 \uc9c0\ud558\ucca0\uc5ed\uc5d0 \uc9c0\ud558\ucca0 \uadfc\ub85c\uc790\ub4e4(\uc544\ub9c8\ub3c4 \ub178\uc870\uac00 \ubd99\uc600\uaca0\uc9c0\uc694.)\uc774 \ubd99\uc778 \uae00\uc744 \ubcfc \uc218 \uc788\uc5c8\uc2b5\ub2c8\ub2e4. \uc798 \uc0dd\uac01\uc740 \uc548 \ub098\uc9c0\ub9cc \uc5b4\ub450\ucef4\ucef4\ud55c \uadf8\ub9ac \ucf8c\uc801\ud558\uc9c0 \uc54a\uc740 \uc9c0\ud558\uc5d0\uc11c \uc2dd\uc0ac\ud558\uba70 \uacfc\ub85c\ud55c \ub178\ub3d9\uc744 \ud558\uace0 \uc788\ub2e4\ub294 \ub0b4\uc6a9\uc774\uc5c8\uc2b5\ub2c8\ub2e4. \uacf5\uac10\ub418\ub294 \ub0b4\uc6a9\uc774\uc5c8\uc9c0\uc694. \uadf8\ubd84\ub4e4\uc740 \uacfc\ud559\uacfc \uc218\ud559\uc744 \uc544\ub9c8 \uc798 \ubaa8\ub97c \uac81\ub2c8\ub2e4. \ubc25 \ube4c\uc5b4\uba39\uae30 \ub531 \uc88b\uc740 \uc9c1\uc5c5\uc774 \uae30\uc220\uc9c1\uc774\ub77c\uace0\ub294 \uc0dd\uac01\uc740 \uc548 \ub4dc\ub124\uc694&#x2026; <\/p>\n<p> \ubc25 \ube4c\uc5b4\uba39\uae30 \ub531 \uc88b\uc740 \uc9c1\uc5c5\uc774 \uc5c6\ub2e4\uace0 \uc8fc\uc7a5\ud558\uba74, \ud560\ub9d0\uc740 \uc5c6\uc9c0\ub9cc&#x2026; <\/p>\n<hr \/>\n<p> &#8221;&#8217;\ucd5c\uc7ac\ud76c&#8221;&#8217;\uc758 \ubbf8\uc801\ubd84 \uadc0\uc2e0 \uc774\uc57c\uae30 \ucd1d\uc815\ub9ac\ud3b8 <\/p>\n<hr \/>\n<p> &#8221;&#8217;\uae40\uc6c5\uc6a9&#8221;&#8217; \uc800 \uadfc\ub370.. <\/p>\n<p> \uc800 \uadfc\ub370.. \ud574\uc11d\ud559 \ud2b9\uac15 \ucc45\uc740 \uc5b8\uc81c \uc8fc\uc2e4\uac74\uac00\uc694??? (\ube68\ub9ac \ubcf4\uace0\uc2dc\ud3ec\ub77c ^^) <\/p>\n<p> &#8221;&#8217; \uad6c\ud615\uc6b4&#8221;&#8217; \ud574\uc11d\ud559\ud2b9\uac15\ucc45\uc740 \uc6d4\uc694\uc77c \uc624\ud6c4\uc5d0 \ucd5c\uc724\uc11c\uad50\uc218\ub2d8\uaed8 <\/p>\n<p> \ud574\uc11d\ud559\ud2b9\uac15\ucc45\uc740 \uc6d4\uc694\uc77c \uc624\ud6c4\uac00 \ub418\uba74 \ubcfc\uc218 \uc788\uc744\uac70\uc57c\uc694. \uc6d4\uc694\uc77c \uc624\ud6c4 \ucd5c\uc724\uc11c \uad50\uc218\ub2d8 \ucc3f\uc544\uac00\ubd10\uc5ec. <\/p>\n<hr \/>\n<p> -&#x2014; CategoryKUMath <\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \ud398\uc774\uc9c0\ub294 2001\ub144\ub3c4\uc5d0 \uad6c\ud615\uc6b4, \ucd5c\uc724\uc11c \uad50\uc218\ub2d8\uacfc \ud568\uaed8 \uac15\uc758\ud55c &#8221;&#8217;\ud574\uc11d\ud559\ud2b9\uac15&#8221;&#8217;\uc5d0\uc11c \ub2f9\uc2dc \uac8c\uc2dc\ud310\uc5d0 \uc4f4 \uae00\ub4e4\uc744 \ub2e4\uc2dc \uc815\ub9ac\ud558\uc5ec \ubaa8\uc740 \uac83\uc785\ub2c8\ub2e4. \uadf8 \uac15\uc758\uc5d0 \ucc38\uc5ec\ud55c 15(?)\uba85\uc758 \ud559\uc0dd\ub4e4\uc740 \uc5f4\uc2ec\ud788 \ucc38\uc5ec\ud558\uace0 \ud1a0\ub860\ud558\uc5ec \ub9ce\uc740 \uc0dd\uac01\ub4e4\uc744 \uac8c\uc2dc\ud310\uc5d0 \uc62c\ub824\ub193\uc558\uc2b5\ub2c8\ub2e4. \uadf8\ub300\ub85c\ub294 \ub2e4\uc74c \uac8c\uc2dc\ud310\uc5d0\uc11c \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4\ub9cc \uc870\uae08 \uc77d\uae30 \uc27d\uac8c \uc5ec\uae30 \uc62e\uaca8 \ub461\ub2c8\ub2e4. \uac8c\uc2dc\ud310: http:\/\/gromov.com.ne.kr\/board\/ \uac15\uc758 \uac1c\uc694 \ud574\uc11d\ud559 \ud2b9\uac15\uc740 \uc138 \ubd84\uc758 \uad50\uc218\ub2d8\uc774 \ucc38\uc5ec\ud558\uc154\uc11c \uac19\uc774 \uacf5\ubd80\ud558\ub294 \uac15\uc88c\uc774\ub2e4. \uc774\ubc88 &#8230; <a title=\"2001\ub144\ub3c4 \ud574\uc11d\ud559 \ud2b9\uac15 \uae00 \ubaa8\uc74c \ud398\uc774\uc9c0\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/ywkim\/2008\/12\/31\/2001%eb%85%84%eb%8f%84-%ed%95%b4%ec%84%9d%ed%95%99-%ed%8a%b9%ea%b0%95-%ea%b8%80-%eb%aa%a8%ec%9d%8c-%ed%8e%98%ec%9d%b4%ec%a7%80\/\" aria-label=\"2001\ub144\ub3c4 \ud574\uc11d\ud559 \ud2b9\uac15 \uae00 \ubaa8\uc74c \ud398\uc774\uc9c0\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-3790","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\/3790","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=3790"}],"version-history":[{"count":1,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts\/3790\/revisions"}],"predecessor-version":[{"id":3791,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts\/3790\/revisions\/3791"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/media?parent=3790"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/categories?post=3790"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/tags?post=3790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}