07WaSol - 27 . 4 . 2008 '` cren ,g"qyz sxeg ,2 itpi`a...

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Unformatted text preview: 27 . 4 . 2008 '` cren ,g"qyz sxeg ,2 itpi`a dpigad oexzt ipinipa a`ei :dxend myd aezkle cala legk e` xegy hra ynzydl `p .xfr xneg meya ynzydl oi` .zery yely dpigad jyn .mkicrv z` ahid ehxte ewnp .cenr lk y`xa ...100 "wx" `ed ilniqknd oeivd j` ,103 `ed llekd cewipd .sirq lka riten cewipd !dglvda .zewfg xeh ∑ a n x n idi . 1 dl`y xear xcazne | x | < R xear qpkzn xehdy jk R xtqn yiy egiked (15%) ( i ) . | x | > R , ± R zecewpd izya zeqpkzd yi mxeary mixehl ze`nbec e`iad (5%) ( ii ) . ± R zecewpd izyn zg`a weica zeqpkzde , ± R zecewpd izya zexcazd .zeniyxa e`x .daeyz . 2 dl`y . P = ( x ,y ) dcewpa zilia`ivpxtic f ( x,y ) divwpetd :exicbd (4%) ( i ) oeeik lka P-a dxifb f f` P dcewpa zilia`ivpxtic f m` ik egiked (15%) ( ii ) . V oeeika zxfbpl dgqep epze , 6 = V ∈ R 2 .zeniyxa e`x .daeyz . 3 dl`y dtivx ϕ ( u ) = R β α f ( x,u ) dx ik egiked . [ α,β ] × [ a,b ] oalna dtivx f idz (15%) . [ a,b ] rhwa .zeniyxa e`x .daeyz . 4 dl`y xy`k RR D ‡ 1- x 2 a 2- y 2 b 2 · 1 2 dxdy lxbhpi`d z` eayg (ziad ixeryl dnec)...
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This note was uploaded on 06/27/2008 for the course MATH Infi 2 taught by Professor Benyamini during the Winter '08 term at Technion.

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07WaSol - 27 . 4 . 2008 '` cren ,g"qyz sxeg ,2 itpi`a...

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