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Date: 11/24/98 at 16:29:56
From: Sam
Subject: LaGrange Multiplier
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y = 2x - 3
y = x^2
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sqrt[(x[1]-x[2])^2 + (y[1]-y[2])^2],
¦P®É¨ü¨ì¨î±ø¥ó
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·¥¤p¤Æ G(x,y) = (x-1)*(x-1) + (y-2)*(y-2)
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C(x,y) = x + y - 3
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¬°¦¹¡A¦Û¥Ñ¤H´¿¸gW«ä«Ü¤[¡C³Ì«áª`·N¨ä®t§O
·¥¤p¤Æ¤½¦¡ªº G(x,y) ¬OÅÜ°ÊÈ¡A¤£¯àÂꦺ¡C
¨î¦¡ªº¡@¡@ R(x,y) ¬O©T©wÈ¡A¤£¯àÅÜ°Ê¡C
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·¥¤p¤Æ¤½¦¡ªº G(x,y) ¬OÅÜ°ÊÈ¡A¤£¯àÂꦺ¡C
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¦pªG«ü©w G(x,y) µ¥©ó¹s¡A©Î
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¨î¦¡ªº¡@¡@ R(x,y) ¬O©T©wÈ¡A¤£¯àÅÜ°Ê¡C
¦pªG R(x,y) = x + y - 3 µ¥©óÅÜ°ÊÈ¡A³o´N
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R(x,y) = x + y - 3 = 0 Âê©w x, y Ãö«Y
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