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Page 1: KI2K IM2ILLftUOM2tIo2 lo &nshsvoo V3luas3rn bnA ono no ash b3nirnl3i3b 3111 Inuoms lo Isliqso 1i Ath isdw 2! 3111 311311 011203 1131225 01 21(11 Vlsliqso b1uor1 3111 1203 lo lsiiqso

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xibn3qgA .IV

: bris I noiiioqoi 10 1oo1 I .A

bris I noiiiwqoi voiq w iuoqx 3Icfsbin1 uoi3rnun 3351 'sm Artsd ffi 33n!

lo i s s oi1oq nib3fI 'Arisd 3d1 3ion3b w wrLT .3iIJ2oqx3 3IqiiIiJm iol ruwoHs

isifi &Iqmi iffT .J ,... , I = i ,x ioiI 31ds3b5fl J lo 132 5 irIi3w ff3iffw rf 21rr3i3f11303

3W .M = x .1 ioios1 i*isrn 3111 iw i 2',x 323111 lo last 3111 isrIi 3fflU225 3W .1xr1 =

noiaii 3Iqmia s moil 23I3ffl3 doiriw isdi ai a'rt lo 132 rlis!mixsm-3uIsv 3(11 isrli wol3d work

3i81qfno3 ai vi!oq nigbed airlT .a1x 3111 rIo (t - I)X + o + rfiIsw bb3d-3iq 10

b3lsL3TIo3rw rnii is (11153w bb3r1-iaoq rib1sm d 111153w lo 33(ISISV i1i asiminim ii isrIl ff1

.101351 31ds8bs1i 11353 rlliw

.V 3u1sv ximixsm oi 'i1oq grtib3r1 ii aaooib Ansd 3(11 isfIl 3ion 4r1i 3vrI3b oT

:isdi a3itqmI airiT

(I .A) (M (w)q)vo3b -

((w))ab = .db ,ifb ,db

10 flOthnul3b di grtiaU .iuaoqx dii 3(11 ml oilsi b3r1 3111 flu nsrb £ a1n3a1q31 rib 51311w

:3mw riso 3W 33fl.6flBVO3

( .

A) (M ,

(w)q)vo3b \(' - l J

V03 +

J

3 (I)3 =

ml isr1i 1351 3111 321J ([63 3W b3i1Jdfli2!b 1LBm1orr 315 w 1o ain3noqmo3 3(11 isrli fl3V1 ix34

Page 34: KI2K IM2ILLftUOM2tIo2 lo &nshsvoo V3luas3rn bnA ono no ash b3nirnl3i3b 3111 Inuoms lo Isliqso 1i Ath isdw 2! 3111 311311 011203 1131225 01 21(11 Vlsliqso b1uor1 3111 1203 lo lsiiqso

:b13is 2irli rih!qqA .(x)vo3C1)3 = (v(x)I)vo3 bits x biudhiib 1Isrrnon

(.A) •((M w)vooç)a)b —

[j wj o3()3 +

[.] 3 ()3 =

2rnloh3q Ansd cii Ii isifi 3v1edo bits mii 1sI 3th ru b3is3ibrn noiisiin3Thb di ob nrLt W

:'ci b3is11 3d iijrn rnui3l bits Ath iii nsrk ihsm 1n3i31fi3 its iii nib3r1 2ii

(4.A) (M w)vo3b =

wb .db .db

:rliiw i13! 515 w 1x = •rlb\wb Isifi ni1on wrIT

(.A) 0 = (x - (x w)vo()3 =

01 as oa d fbs3 niiia a3vIovni anoilsup3 J adi 01 rroiiuloa rfi (w)'T lo 1iv53noo 3fli 113V!D

tol 0 = (1x w)voa nifla ,.3.i rfiI53w IsrrI3ini rfiiw b3isbTuoonu 101351 bsisi3oaas all 3A5m

Isfn3lni irioti astueoqx 31ds3b5ti rIi lo Its iuo niqqnia d b3dailqmoo3s 3d Ino riso airfT .1 Its

.3Ids3bffIi sts aAan rIi Its ion to l3rIi3rtw 10 aa3Ib1ssi a3iIqqs ioL iifi isili 31014 .ifitsw

. bits I anoiiiaoqot itiod rivotq 3VSd 3W wilT

:() noiistip3 lo noilsvn3U .A

:ai noilibnoo 13bto-ialiI a5lnscl 3rfT

Page 35: KI2K IM2ILLftUOM2tIo2 lo &nshsvoo V3luas3rn bnA ono no ash b3nirnl3i3b 3111 Inuoms lo Isliqso 1i Ath isdw 2! 3111 311311 011203 1131225 01 21(11 Vlsliqso b1uor1 3111 1203 lo lsiiqso

(.A) 0 = (M (w)q)vo3b , -

((w)q)ab =

:s n3flhw3l d ns rroi1qx8 idT

(V. A) 0= (M W)VO3b (q)a -

[q] (M ,

w)vo3 - [f } 3(I)3+ I j

V03

bns (vx)vo3C1)3 = ((x))voo bns x b3iudhiib ll.smion oI i&IJ sI di niss gniU

:2B n3lthw5I d noia28lqx3 ii1i 2mi fl1fIJT1S8I

+ (Mw)vo3b

- Wb

El ('l)3 =

(8 .A) w)vo3N' [

a - [!. w] vo3] (l)H

0 = W]

V03(M w)vo3'r j ()d

:jstij 3iofI iX3T4

(M 3)vo3ç — =

(QA) (M )vo' - =

[i.] i ()isv + (t vo =

w1 V03 b j

H (M w)vo3b (M VO3 = __________

Page 36: KI2K IM2ILLftUOM2tIo2 lo &nshsvoo V3luas3rn bnA ono no ash b3nirnl3i3b 3111 Inuoms lo Isliqso 1i Ath isdw 2! 3111 311311 011203 1131225 01 21(11 Vlsliqso b1uor1 3111 1203 lo lsiiqso

lo noiIi I3n9 E bIi nin,nir bns !(8.A) ftoiiEup oini noi1qx 32311i niiuiDdu

:jx3 3r11 ni (Q) noii&1p3

(0! .A) + ( 'vo)D + (M )vo3X' + (M )vozç =

3I3ffW

(I! .A) ((M w)vo3 -

= M 0 (M w)vo3 (I)' - (I)3

i vod (01 .A) noiiup3 .ixi th iii () noiisup 3is13n oi b3liup3i i qi is1 nO

bni 0 c (M voa i1i iiIidkoq rii ioi wo11s 1J!3!1qx3 ii Isiji ni !S13fL3 310ffl '1iiIgi!

rIi to 8.V1 noi1 ni u32ib 3w A .bbd t Ansd 3th i331s nv 0 (M w)voo 33n311

Ii ti yw ith ni M ioi3t 13)hsm 3rli oi boqx3 11ii 3v1 oi ikiw vsm I3b nibmni £ JX33

1x3i 3113 iii (Q) noiislJp3 ni I3v3woH .oios1 aid! 0! rnuii b9iqx3 8113 no w3iv 3viio3jdua s

isill oa io1t 13*Ism 3113 3VOffl3 13331qmoo nib3d iioiclw ru l3Iqmia 3113 l3biano3 3W

= 0 01 M0 brus 0 = (M w)vo3 = (M vo3

:(Vfl noiisup3 lo noiisvri3Cl F.A

:d fl3vi ei noilqo 311310 3IJIsv 3113 ni 3nsd3 b3iqx3 2uo3nB!n1ani 3db Emm3I aolI 1

(1 .A) + + = (Ib)a

Page 37: KI2K IM2ILLftUOM2tIo2 lo &nshsvoo V3luas3rn bnA ono no ash b3nirnl3i3b 3111 Inuoms lo Isliqso 1i Ath isdw 2! 3111 311311 011203 1131225 01 21(11 Vlsliqso b1uor1 3111 1203 lo lsiiqso

noLlsup3 fl .noiiqo th no rriui1 b1iup51 5!rrEd rIi i 13rIw I 01 1sup d laum zirfT

:vc! w (01)

(U .A) (13 )vo3O + (M (.)vo3'

+ 1

: n1thw31 3d n 2hft iotBl3qo 33r1rI13vo3 3111 1o 'ihs3ni1 3111 fl

(( )vo3D + (M

$)voo). + =

(M .A)

* (i — + 1 =

:d fl3vi i noiizupo noilEutsv siLl auilT

( I A) ((i — + I)1 = + +

.ixsl sill ni (VI) noilsups svig rrinsnsi bits - = p' niiuii1du

Page 38: KI2K IM2ILLftUOM2tIo2 lo &nshsvoo V3luas3rn bnA ono no ash b3nirnl3i3b 3111 Inuoms lo Isliqso 1i Ath isdw 2! 3111 311311 011203 1131225 01 21(11 Vlsliqso b1uor1 3111 1203 lo lsiiqso

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AC14UC!OLJ Xt') ijomucuq K0pG14 Yf 0bIJJcJ COULC ruq CO!fJ iiq COfJA ic

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