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lecture23 - MATH100 Def Lecture 23 Divergence Theorem If F...

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2006 Fall MATH 100 Lecture 23 1 MATH100 Lecture 23 Divergence Theorem ( ) ( ) ( ) ( ) Def: If , , , , , , , , , then the divergence is defined by div F x y z f x y z i g x y z j h x y z k f g h F x y z = + + = + + G G G G G ( ) 2 3 3 2 2 2 3 4 2 2 2 4 div 3 : Example y x y z y F k z y x j y xz i z xy F + + = + + + = G G G G G
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