Lesson_1 - 'n1 ilxbhpi`e il`ivpxtic oeayg (104010) 1 lebxz...

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Unformatted text preview: 'n1 ilxbhpi`e il`ivpxtic oeayg (104010) 1 lebxz oxia xnr :dkixr cwy inrp .xc ,ipinipa a`ei .text :ddbd uixw di`n :dqtcd hlgen jxr :jk xcbene | x |-a oneqn x ly hlgend jxrd | x | = x x ≥- x x < (mipeniqd lk zernyn z` xiaqdl :lbxznl ) :zixhne`ibd zernynd :qt`n xtqnd ly wgxnd edf xtqn ly hlgen jxr | 3 | = 3 | - 2 | = 2 ,jkitl- 5 < x mbe x < 5 ezernyn | x | < 5 (1 ( (- 5)-l 5 oia `vnp x :lbxznl )- 5 < x < 5 :meyxl mb ozip ezernyn | x | > 5 (2 x <- 5 e` 5 < x 1 1 libxz miiwziy jixv lirl xen`d itl . | x + 6 | < 5 xeztp x + 6 < 5 mbe x + 6 >- 5 x <- 1 x >- 11 :zepekz | x | = | - x | .1 x ≤ | x | .2 | x · y | = | x | · | y | .3 (mekql yleynd oeieey i`) | x + y | ≤ | x | + | y | .4 (yxtdl yleynd oeieey i`) | x- y | ≥ | x | - | y | .5 ( .zia libxza ritei 5 , 1- 3 mitirqd z` t"ra xiaqdl :lbxznl ) :4 zgked :mixwn 2 -l wlgp x + y ≥ :'` dxwn . | x + y | = x + y (2) ≤ | x | + | y | :hlgen jxr zxcbd itl f` x + y < :'a dxwn . | x + y | =- ( x + y ) =- x + (- y ) (2) ≤ | - x | + | - y | (1)...
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This note was uploaded on 03/12/2011 for the course MATH 104010 taught by Professor Dr.miriambarazinna during the Winter '11 term at Technion.

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Lesson_1 - 'n1 ilxbhpi`e il`ivpxtic oeayg (104010) 1 lebxz...

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