co unit-1 notes.pdf

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Page 1: co unit-1 notes.pdf

, ')tnl'

ta^f*lrr;

) ], ?,1^! cr*f-h, f 4 A 4^,tl ulnr]6^r,

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.etL. vtNrf- 2

&o;,1;", P1(/

-),J"ff*/rDrn il Mu,

L- l-Tnlltuckovr4

li

frotealt'-'{

81y^cu '+' "t- )

tYloYnot

?ntkurlvn$ls

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*)

4

lu*u ? o/'/);'^t'dnts

hu^orl;r"n +'

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I t-lylttrvr,t

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U.r,E, n *k on 4 LPtl

& t.frtfoytf\ Le-'SrSo{

oV---,*7potf,

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1to ca t4oY

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Aro- /

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+ n.f pttr;f P*i,,k"r")'t

rvffcro ymrs,4'4ot' ^d , fA in

G*yu'for':

Pari[ofunaV1^:rrkormeb

of e)-cr1rt'sz

Sutvafr)

E-F*@u);'o

//

l,*,frk Ay,ila o^

Page 2: co unit-1 notes.pdf

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Page 3: co unit-1 notes.pdf

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Page 7: co unit-1 notes.pdf

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;:tt:!"; il,y ,-uu,k ^,lkutu rr a a;'ylu t^'f " t"'tk

,^" ^!f/)r!'''nr a'tralunrt '|

n{no{il rA o/'o' ol }olfioon ^tl

l4oceAlttrts"'''')'i'[")l^l^,':'^l-ovitlaac(e''|b-hu*li'u'

^"*o'v i,^'n*-,{rr",nr, dyttu- tA bnown aA tl^r"J-

r^Lrf or(f ^olffyatezt/.ot

{yr:lmr f n pAf tA nulkTroca aAaY4 7 ,-

r^elnoly t^ni t &f L inlt LornrJ.r/ Pi lh e'"/" ttf {f onn ethon

^o!

S6rk,t . -tAi,s lne{Lott(A ttr- LvAt '+ N ny'tla '

ll<nce-r po V"L AyAu y"'L'^anLL oL A,VA u to4 L ft*

tla aYArun'

fL irs yo,tt;blt fr u"e ^u[k/u U*7"l,Aa -16 otL'uvo A"trA

yr$r^anL?-' Su"h ay'sb'*a arL altJ , 'tb u"/"/ttz aVnla"n"

0^ lhTae- aydfu* ff*-f ,+ o:fl"l, , ybn ate nbru*opl'

h a"kove-' AYO kt^t **FfuL'"""l fnou^

tJtrt, a*.ula" lnre Nre'tt -'Y + ltrt oln ^*u'[ u'iE

I . --J--

h,ryn"t,iufr d"loil

il;:rq wl"4{t p-FinlotrrnaAusn.

cruLa'.fb fb rg,\t "ff, Ot/ cr c^-

Page 28: co unit-1 notes.pdf

2-\JT.L"dri -o

C rtr'r*1,!-

il Fr,q pafxe^l"onAt/

A t',-l L- ?/

l"- f--

'') 't- 3 :' i' '/'n i 6n in[e'{&'nntch't'nlt - I

,l

tv'i y' '. t,' ;z I at 'n*Yh/^ ^ 'ly'e c'"Tc

- tnrf L!,-.P"7

-f ,L;V;kl ,lnwlo'*r"

),r/rr rno f,i,t - 7ro

cu tl t^f

l--t

1lt r,aelarle)

L-7qf,4lur41

t/

!-.t rrl w'o)-u)u ^Ye bu'sL dofino'! b'l lke ''fl)tl.*r^

IMtr

'( onlfrn tl tt{ oTrrok}ros lK^t oru prn/"r^uJ 0n ll7

).ola AltrJ in tL;"^

jle 6 pcralTnh en*^*t*.l 0n 'lot; ^bT"l )n no-orrsl'lrrs dre.

t/

cott")'l nni crcc,,e;atc'4'

h*":eUp:tnlO'Aa^ol**'*laVu7o"*ffny''$r"u'{

0r\ lt<{ "'

}o''uoL'n''' ''fu'u J )r' 0/1( ct /\1cl'Q- lt'7117't''l

q' }k'/L 1 L'u*t ' Ll"'t Si b-j'

il-u rnlanoL /*'J pare ':tr^;6nl7n 't ^ l'Vitat u*7'Jer iA

l,,nL ol,$^J t tr /fea"1 i^tl'

t- '7'e "YL

rl xuf'sh t "'[ hf"'n's yl t&;r '1'*h"'p. -/he Ao-ri7rtnc, :t, rnf tra '7"nlT1n /"frtT"! DA tAa

girtarv ';*/orn6tft6n al'rul )o lKe r?;lleil '

Oru*l ltraL i^i7olt't lt:t &4rutNe t/ rt)rtccTtral'd-'"t'

,ke ,tyn^bo lN ,^otukr,, ,ra, J +, cleauilsa tfu nicrotT dalr^a

fir^nllkro ar^onfl ',rnl" b ult'J 'Zry'&o ry!'{t'Ln,"fJ'*1 "''

Page 29: co unit-1 notes.pdf

r-?;l 4^v;),,att;h67eG n, u) s/*-7 i^

PLtH),d ffiy,/*b

t nhnL ,/ rV;nl* Rt ;nk

ltJJ-IJ_lJJ_lJ-IJJ-JJJJJJJJ.J

I

-

-

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=-t

!a)

k*ul* ft^^rY/"r;

,t 4,slfa &rL cl"t'7'"'-[-") JfW' 4.,*La I tl'r %f/ttL{

tl, Pc -$t ThoVYart' co^Y"lui

9k #,r 'fnniil'la'' R1;nY

kt loir Trou'tlbr vTittfr

&*-pJa

&*b

Frltrt';7|nlo,t'

4'V"'n

,L7t'on.,

alcrc'': lfr

$rn', '

ltlsU) iluml*;^V 'l

gnlor*oh';n W^1kr-n

a',Y[ol^' J"''i)'e

unhf'*'"L

k1- Rr

)^ub': A laoohrcI lM

Lr)XTAlu t\X'

- flL Ae'a;V*akA A rTlo'un^L

W b''bL 'f Rt

W fr^$., te^n le- ^ul" i6&"lp I La^i, Fan fu rnoanz)

L; lorc lltb

' - *Vr titu

*o^ o^L r'4r'slo' + o^ull& i/> )e':;V^hJ

"b;"

^)^n 'i ^ reTlataaenl o7'*E''

c"1;FJ /otfura -la

fryta*kf,u"'t 'lt-

frTiatua

,* 11 bnk*L y Rx bf

0Ltur

,/ aA

,n,y t^nrle-r ^ TruJul:or',"1 l.;l - lA* atof**l

Page 30: co unit-1 notes.pdf

3qf!

/oAtti

7k

,l "lt* I-I

n ?.\

^>'iT t-

: '\ '';-tn ,- l , + n)

i 12..\c'l 'sl1nal V^'r^k 'l in

--,i!Vn it ;nrl^rl,) in tke

/: &<- R,

kouus tl'€ Nuk ol;"Vr^*

t, fu.

dur-l<

at^ti^,nl A a,

KeL A7rrt lla [6n /"f-ll ..l'a"cK

;

,: '7

.' li

h ^ i^1"^16

- Jhe-

,t

L/""7

rlt

lrlt.

,rrl*r,E) lAz t.ufr" I

VnYiolle P

- A,4bt"rme lkat"

6amu t'l"cl

ilndt

b-n

tk Crnltol

aA ita t,^L

Vaviabln i":

1',71'n '.l

lAz

+ t+t

uI-fi)**ftv' o ttv'S kt e

Lil Q^;"V d-^''1ro*

*tr€, ? i,s *FonE l Y ?n k

Yt5ti1 'd1o ,t & il'''L N"t- ' l_-[finrli/{,\. ,/ tk(- tlril' e[ *^e

t*ntol a'l6n

^L k^, I 1,r

*+t 4'orla ttrt

fil1:(o}9:a*&r *'en Rt 16

ktn ,fr/z 'l'h?;^b k2.

rLffuti't

fle /'r"t

f *l^"a17,

^ le^rl

nrn^f,r, olz-r

lf€,.L ';b

R2 DAcn P=l

,^re tonn"tJ

yn,lrc *rVul Eilfr

+ lk reVi,,tbY.

k t*^hl '4tck,n

lil tke

n"nl +\/a

L.J rlp ""b;"

Page 31: co unit-1 notes.pdf

o,.J'E- )n\ i';t\ +r q,,tT, t'^ fc" olttl '

P ^'t 7 'J' k'k t' o oL

a(rut's'i'lK Lvarf chtk

7h, 'ttoY*'n|

4? ^r. lA-^ loil"'l i"li ilt

L-fa'n',(

l,"ln'

t +t ; ol6tuo;r:e [Az

Fan,t;/6n nArl" P

l6no/n,remairt4

1:--lt;

ot/;t,'r.

'r : kel.- Rt , R,

lrnul{rl o^ operchw-r lfr.L

Xeftlo': lt,rt"V a^( Lon.n.on

L- Ra

uck*"ynl lla bofr'"t Yil,tclt

npilno 7t'v;'1J

tfu't

fro

T-= l,

J-IJJJJJJJJJJJJJJJ.i-

-

-:{

-

-

=.d

*> but: 1 N'f"tr fr"*h''n;

P*tt6nnudbluyr";l')tkona/er;nftr^nhn&'^\d\e*e1r,<k,r * ar''ofk{r' Tfu w Y ^ffi^un

t'''tt lu s744tiva )}

4rouate. l;nrd are- "Jnr)" Ob,l*atee , ee^rA noVilttr Y/ "ll

")TL'L'L' \agiAffin 7n th eyal"n'

z f ,r'0,)''r')i''""""'o '4LAcrw {or franahrr^, in$r*nk* t'l*

Ara?Affd 7^ a *,l,/o 'r*;tb "'"fi"'o^' izs c\ ton'tn'tor)

a

y'^ o^TlTnl:un bra;,slr '{ :: J^ -f"ff^"',',,,""o^L -for *A [rL r/ on lv*: *{,, lrnoT

r^'f,.*'*l€^ ) s Ym^nk".d onL aL & ffrre'

(,,hr)nf4n,loh*rnunk'AY7ilFewtu].'b'lltrtM hut oLttY' *7 *oA 6^'tLAl

ot' t'UtdlA- ln*"*U

- 0 ne ,1 f ^ntAb ff c\ Ctntnto't 'i".n 'ty'th,t 1"5 df,

brrw.d i"-f'r**16'"' l:J tl{'n I'tarc) o]\ k b'ot'

-

*1

Page 32: co unit-1 notes.pdf

q-l;nefurnon

1!lus

aOt

(?Jo

O7*'' RYi'sE" c @C R'1rdftvA

. ir,,,s Sy*V* 4" h'" *VrrslGt

,: :; y, i,: ,'r!,';*,*,bnuno, *!, *:,,y;; ;"1 unaiita 'l- .: , 1^' u"*)"'t'' 4olofun rlpn s, #, s"'

#*r )ol',- '[Pn '

D t^'L1vfh c t

Tkz d^oryn^ al'adus Ka; rk j;k in k lame Ain"\f,;',.*L

'": '- [ ,n ,oJ fie-qfttter afe tunn'"t"l 'h tAz J'Jh 'lfo

fo,sih"o n c'LT ''-' st tla lua.

,f cne Nuz +' hrn" Dne l;nu 7

- Tkxt Nun 0 n'ulh7)'oe'1 {*"' o i,la T o''!tt^' yr'n' o.-'

llt'lL

S, \ so erQ- tann uh) I rk a"l,'tin ;lpr "+ :i: :'*rJnTlrn-efA' fl"fl c-l'aotte lke 4 l?k Y u:n '3':'u ?

ff^nalt-r kz-' ffi tf' -\ut-L'nn tsnmon l'{'t'

,oAn., ,s,s, = 007 lke 0 lok 'lfo 'l all + n*|fi/"tua

ane- a,l,t'l q q$'l tn tk 'lfn q tlat {o'^ fk" L@

- Ri4 t*up<d tR bu'l [ine't -f' fcce-iva- lFe Ct"t^E '+

x1?':lct '1 '

Page 33: co unit-1 notes.pdf

i.c

fcll"ci'7l"t t{

t"At, ,q!, ra\

€ocl ,ldrlrrk I'{ (t4

lj" T1

?*" b,A^vu

normal ;lp "

/t^c a7;tbr f^L ih

lk h '/o,+4ol;1, Volw'u

+2.), .

S, S, Rnf ratu {"\'JdooA

l_lJJJJJ-J-J-J-J-J-JT-J

.-..J

J=.J-l

/"4

IcD

A,V* -f;c*"t '

'

0llo1t

EuA \u{fora'

A l,ta ,4{4bn b'n b"

f,.,rlCcul T nctWTlenefl'

,) tl{"u rtbt, fr rA ^4k6,

unaiu"t{nL rcifh *ree- ttob 7*l^

hV;bt urwL k^t' "'L l;b 'l['run

fioa lhlu ) o o'd I

ia atoh 4 ^$ mydonc" ztol" )'[ov*t lrlu "n

sien brr;;L , nl'cA muanb ll'at il6 nh

I L t t t_ox,n,l l-Va a LafiicJ"zunnt' ttJ' 1 clotbrl{ lo.ve- e kT?

otr "lrhf""*ar/ tlf

olr y

A;fl^

A

ry' Tkrw - nYotu bukv

-fho t "#r) i ln dtbvo'in'r\ ke- olP

p,*n b:tJ if7 = t t tf. 'ly id

Ltlu- ^ C*'vu.Tt") l"ffu r luith

rfi^"n a"d-*/ ilP =o t Lb olP ia

inyvlance tL)

Ll-c\lalt,

^obl/ 1

Dh e?,"1 fr

"l,zt^ll-l -

<

-

-<

-<

-

--r{\>d.-

C

Page 34: co unit-1 notes.pdf

7k ro'.*',8,'I

ljt:;r rt trj'

F*ble

at--f-

Ao

Bo

a

Do

l;7 E'"' li'^n

tt: 4 b*k^a arL

lue.

taw',rnt*,Teate

iofft, ^oil

rL-6 htki rl q6tarn

I,61h lAr* -,<t"t

\ua bne /r, irL

t+5 Illuffun' I

I1

:

t1iI

0t

+^at rv more tMn Me t';l'"/ t lF ia

'Fne k wv a 'loc's)er'

)taulu i,t o, all o/ ilz 4 a IFA ttY( o

'r. ^ A;qA ' )n,Pe)anc, lla 1z I ua ube

,tt;a^il ui'{ t

tT ; lt^tu lrr//tt il\ ac/ti u ,

tK( V*Ltrz rl S',9o 'l

)7"&^T ^lrt*nllu '

g,o' &x+

so ) ubLul4

E- 'toc

ilt h lk( )"{fn^

7k" olFn I

cr"Vle Jr\'

n e tr"ful

pith lh'nu .,l;k /,r*{frrrt ,

bnnrchnJ ry16r t' $r^ a

,,lrlr'^rn e reAfcA 9f -lk' #u'

N.",tfr lt u ltt's l;ne '

t" h nr[vu i1^1, *L ct'Vnor.',at Tlfr bdll

,{, rrto{e tL;" o^e

7,n^ fr"t

Dnu *ny + etvltfiL

o,hun o[ n"y tru^

a:Arr. ^"blu llf '/-

fl tt'v, buA l;ne ?u<

c.Ll -/r,-rr l)^{feyt art-

[^oJrla = ar'l{vu ) ['^e'

csn,r.on bw,, -fr, -f* t7,,t?wa ,+ r\ hh "*.1 *1 1",1h-[-e

Page 35: co unit-1 notes.pdf

Arlltra r A ttrt";l''s r',k hu Aulht'a(+te *dJ' #t

Hcn^ct,,t ay6fu'"----u

Prorl + fra^ak' '-l- in$'inubn

n'W;)e- twv)t"artfienl'

{rr^ A nlarroYL/ Nor ) t'

t: *ik + *fia^thr 9/ n€Fo )nfo'^ lfrn

wennoSt/.

Ntmoxfl ) 11

A ilnnn l'y'nbr-> AR

/w) ; DI^e-Ht Ail

+ bt ai''"l }nh ln

Ory"n't)'

-A*;lknnufic WA:

rcr?h : Nt*[] 4- Rr

-) Niuo oTtr*kn't 6{e 't^n+*l J ;^16 4

t, Rtnrrbr ln^d'Y a?tto (f (rnlint

e" Aslkn"be tt

s *f':t "

h, sk /L l'|

st

-t

tt

t

.t

I

t- + ",*! f, 43

ft^fr^b y R' f RP Oonont,,'

Ee"n{l

b? k,4-Lt

Rt? R,- Re

Re <- Va

k< 7e+t

kJ e' R, {& *l

Rr <- R'+l

R, e' A,'l

R''La - 'Cr*/r ';ta fre C'nlT^t's t:X'

:

/, &ro^h) :

ii li. rta'n'b ry i *--c'!'tu/l'; ;

' tAz c*l*7e4** ',!*retnentr

(he LPY\uw' u \

ha,a'ont t t ri c1

(

.;A

iD

i

]

f

l

Page 36: co unit-1 notes.pdf

+56 inal t€l

)d )e .'

f;q:l6 t l tt'l1-

] l'';':''-b^;:7; 1r- l

f - ?,':i' :i

*- Itrl'

_- $rrwX

')11- hr^,s

' i:-"1 ;Au

'it L e enerntt'si/

n, V l"'''tf

tta u*ttk*e.l"'t

uttal A 4*lt

)tfr ar;tk',,ufr.

iA a"tltl &

dum ,/ lfro l'lz ,il lu-tra)

(\un^ ,/- fuo ,);narV

[;n"ty artJtt' '

tv

C*I[s"rf.J.

ls1r,r"cYt*l irr taau-Le

PA &n^,.k). * tta

L'ifh All il)'ut ct'h

tdth 'lf e"'y $6n't 6'tta

ilr ^ny y rutl Pn

F<^ Aoor,

^i8t 4,

tr)

cq .92 sL

*V

A -> o'yn u.d

D-> odod o nA

(o -; ilP Coel'{

: :''',,{^.[,t

sl

,+ -lr; I [;nn y o) I un

[rln"

b?*aay aAde' A7N '\t'\

,41),tr - ,l,.bW;Eu ;

tl*,[ yrrok tk a7u;rcA '\Ltm

)\ $,lt-il/tr,t,

f*,t

-f:r'a-

lnat

ear h

fi -8 ?

"lL;konCcnrmcn

rA-

A.* pk oo*7lr^,nfa f I

$ ,*,b!ru,,lr'"

uun;b L,t

oTual'fra G^ iu con $;na-j ;"h

i"cf*b *e6 ^n XaR 1,,tr" nilh

Page 37: co unit-1 notes.pdf

torlffll lla. l-

a all;L'n^t) ,gilfi6ch6f)

-) /+1-B

) h+Bl

lk,*

)b

oprraLa '

8,/ n n -')

e-/ t1 = I

B@ o = $9, (a :: o1

BOt = Bl

a --I

TIr-Jr-J-J=J-l

P)

9r

'rofle l,

oJl.,F*'.'

8*bl..'&Fo'

oBt'

JB' =) ArBt+'I' U.ry-ri

tb ta_7.*fi t'

u1^J

Vr,vu h-B * A>. B o{

b,ylnnunL T @-D il A< B

fry ta - bl' aAlor- sul)n"R

r<.<<

-i

-r<

<

s

fntfentt -rwitro Dfe{^

Cxu { I'{ 'lf t

iA &nnec1,4 bl"^':L

ot4g +, A

r|l41r,;{-ur{

tt€ otAs '[p

L";L Y ^o'

l*/f ndol"r

Aa )n

il c'nn.hl

\\<rr

<

-

-t

a

t

qs!tt

-k

b

c

I

frr urv,Vr') na'6 r

frrAO

At\. A , IM ruulL ;b h-t3 yrov;chJ tla\ tWe iA

h L incy.rna,nLl,3aI

avqlton,

"rl)4 ba'Ta

tF, [*,*

|r -1r{e-

Page 38: co unit-1 notes.pdf

olr

of.l

/Ae

i,-

(an qt'

!t{

: t-L 1 t .', 7 '. tt: I [rh *o* 4n lkn,f A Att

. v^r,frt lk inctum"to-l olf )n '9o lAr-"VAI

1.,. y L kl/ nldu )A tonnrtJ t c.,tL

t lro' A"U nll'r''-.t r: ruzt f- /"1Ait c)-c{

! ,, -- i ,Uy *f tur incrcnnenF,,,w - )l t t ', l.l.io

)3 )2.)1 *p

0l0lt

a I Ias3 gL st so

frX +-A;!

Ca,r be- ,"lA)r)iL + i"i*l" A

l;norV in( {trrt ' nlit

l; o.A o-[;L l;,^ry

M[l -adlexr\,

,,-lJ.s ane *

s5,

SDStSz 9j: o{too

,)rntYtmenk{ rv

++\

!,

_t

(7.)tt

a

'2-ftl

-Tl^;t tLh

*ld^^V

ariffmrt t \rttth

lL L^4 h -htll n/d"

q 4 "'ulffllawo

,t ? tnl-kl

/or cAoni^fl/

G.sht,h ttr +Jt;L ..llrtt-.

ofrc\horfi ",htb".L

Page 39: co unit-1 notes.pdf

B

D

A

;l7t

),l ol

-) ft-btt) y-[rL

, lp,,

ulF

lE x illA '/cr{( torrn'utd- k

ffo ,l;r"*'ty

ftu^ l')

Ii*r,V

rtu

orl)rr.

"l^l-" ;lF

firu, ilr, $''*

,€n,l cl lfu h

et ,r.,l|11;1lrxl{A't tJ/u].lo g'aartve

1kt olltx -tfo' ;'^f"

1M 4 ^uttYluxurtGtt 7 ih hvry 'io,

|rrur\ffi. Jkz alt;:

+, ttq n*l:

tM Cr*7L*n"L y b'

,lpb 6fL t rnr"f.) 't,

ate- t "b;td ttr -f*o

h lta cart'y ll1 ql fA

tctrrleb 6rL tonnt rlLl

tyrc -a q ryu-/'drl,&* lyt S, * 'So'

't^ l*ooL r*Ju$u"t

fir, Fyl z .llA7e

l

r!J-lfr

<<

:.

-ft

t

=:

:t

aT.

\,",*-b;k autl,^ek Arcu;l-

Page 40: co unit-1 notes.pdf

'ilp 7 ;""7;+Y;'

?- _:'t-

t'r D =

tr"*(,

tatry Co

A+f+Cn

Ao. "L xttY

aY)

+ ) o+.9tr;r,E'+-i \tL'

I

ilya

ttn

g+

*foB,I

',,!t n;to

Icztal +,

I. -,rL_ f-1r.,- MAa r^r

trc valw- ,/ / ,'ilh st

D or l, iL b pa'soile

ta',CnA7e^l6n'

,f , + nlab"1

V en etdte lk

'9ulu|

'9t 80 un

olp

) t A*Y*t;nNfcYaayerol'*Itp

v

D

D

D

D

D

D

n

D

B

E

I6D

0

I

I

C,CA0o 1

0tacl l

tCI D

t0 I

IIDItt

A T-D

s+Er-l

A *6br-6+t

A

A+l

A-tA

,Aad

A otl oelfr tan'y

a*ro* Plh iorro'o

.$rlfroo)

frnrakr A

Jnu q"r.r,L A

Decrr^,nL A '

-lrarosf<r A

e€ =tl()() I ()0

i{1 \=b

ttn ,ol D

Cfn '-l /= A+b

) = *+a+ I

D , l|-T+t

eyo- irvserbol

&t,f o >ol 4*

\,6(rnrl /ffn >o t A*B*I

+, y f/P'81go , 7g ) all Dk

Page 41: co unit-1 notes.pdf

5.ll-,''

8,30

4

tt1+

D = )+c*ti,tp=

=) atl h (\Yo-

t-17 IJ"I-J:d

IS!-i

Fr

s-r-r

-r

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Page 55: co unit-1 notes.pdf

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ry RTrnl* tn""#'o l"' lke &frA /*nu

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ll.$rtrA tto D rnenorn

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Page 65: co unit-1 notes.pdf

(B.4al-u orYl) =lur-

fuRL- N1AN t Pc &-Pc + t

Dd" ayrrl,6n arl" ;n \P(ratt)

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Page 66: co unit-1 notes.pdf

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Brl4 @ - t) 'J inal; A ane 'f t& in'tto'

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r ,_F

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Page 68: co unit-1 notes.pdf

t.q q in^t tA fn AR 4 Nq6U

fr ,r r D 2=l

f ,rrrJ€n el NkI aktl6 rci/h l-r'm;ngaa(i ) AND ta At:

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Page 69: co unit-1 notes.pdf

aKt fcctiv'e- ?,^$r^ol^on #o^ DR , wA;cA tan lu M"a{.rwtr ;nt, AL

()ul frn : Slf,r" AL'

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t nrrurb) k bub , iL t7w;Aeb *,tr w\e

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'tynoh'd ry ke R*'

Tkc FA +l it ffu^ak'ru{ "lb Pc t,+ $rdL k ^l in 't' Lnulfie'

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nf *N 1- Pc t PL t- AR+l

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t,t EvN BL

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t =o q aoLdron r,a.t rt hot = tb5-

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4 AR A"t/a Fa tlf - ( $rtr -^)ntt5T 4- ?t I PL 1* t\f*t . t36

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linlfrn ail,rw A) iA Alore-J oL rnetn'vil locil"n nf 7

a,y#rl twffnua Nth )la ailm,tnu' 2r7** 'Etf"g fio* tl6'

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a^ rrhruL tsu&r ir,of yltud- ^L n^L *l I u}tn"l;Te'"

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Page 71: co unit-1 notes.pdf

J-rol^ $t BSA ;n$ 'n

Df f,, : rttAAJ L-Fc t ILL-Mt-lDffr : ?cQ- Ak t 9eL-o

al lla rrl,trn o)lruaa '

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Page 72: co unit-1 notes.pdf

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TnAlruc/^^on

hLe hLrDRP a ca,f,EL 4o

fsv

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Page 73: co unit-1 notes.pdf

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X^otn 1 d"h tl;d i^

G*-or^Elfrol rtnul| rnrz,LI

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Page 74: co unit-1 notes.pdf

'i's^,arnrttZr int.rhrc ftu,ve't Aui6l in/ot^ohn

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infu 8 lr'''L diVn;l.conL b;b T At I Pn,E itt 4'o"n)* a'

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Page 75: co unit-1 notes.pdf

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AyL ,ruu)d /o, Mno{"rr;y f*4"^ M )a + *'n Ac a7 '

J,v tt"du,y abv brh

lrr tl"trllb,'f inl"\''"yl faal't|

ffcile =ilF - rlf intit A D+ =t 7 I "/

"l F*, '6.i-aletuA'on

-". boolunn

tM {a-mat*r*V tA brh ^Y 6 lrrh arl. uo"} 4r gola' t''''

ta -i , NM b;t Vven ah t

Ar , 7 , 6/ ?t8t1 , to, )t. ) ayeelf;a lt'a i'"tt

tt tt $rta\u yloru

,nlohrn 4r, 9oI i D+? D

- *norV

2t<

INP

0u?

8k?

Bka

taN

L0f-

P : Sca-oPB,1 : Acb-il+tttPfl F69a-o

P0o : ldi\ &- Acta-t) t Paaao

Por :11Go,t =D lkr" (r, + Pc+D

Pbs : fll tF ao,D lrn (rc+rc+)

PAv : I-EN 4- I

P\u : ffu 4- c

dunr

W"Lo+"1

Sct -J-

tl\araeb-t.t-

Ll^raLW

uui- b* h*,r{.r' I knaL zyttc^^L bib Y 46 into ol nfft

a\.{

.-

<

.{

.{

<

<

<

.i

<

-!

a{

<\--a

tNP )na* ffi^o'faa F, ilf lnloY^ofr'

2"1;'r"71 e^oblu

frlrrrryt unabl"

fio* )NPA + t loner bi6 e7 *tv 4 dr"YT'lLk

0n

oll

0ur&

N.* fr.

9( clzara ,b -fl^fl

}L,LL U",

iL tk,

rVA[cJ u4indlnF,l a

gbf on ;fO {l"tr

Sbf s^ ,lffl^f

ab^r % ^*| ir*st

o{ tl^* +tr-qa $ Qilt/)L/) d.

Page 76: co unit-1 notes.pdf

l*

W 2eN =o ) Pl"7o

ftEN-t ) ^

A ) }nt "r"fl +L7tlY

& -o A h*7"ter f ,

l\"1 ) o

- 1lv laaL ?pa

+ty a\

-t Pa"qAAr$ J^tan,Ft :

lAert are- lfoo Naya o{ nrtodV a^ nfo'^okn l-r"nrtltr

C \no N6ll iA 116 tarvTub Ur's tl"ilu'V 'y

'ft"{ l"L fr nhnn

iL i,An * r\eLr * nilf^l[n tae lr*nskr'

Ww W o*'/'1* t4 *nfufl ffie rchb 2ffi^Xltu

U l*E^l T b,^fl t\sYYv- 'tre' uu'&') l{ak'

@) Ar\ .lfov^oke froe)uru tl -tb lut tlfr nof{'nol nltdce i''''{o'^

Itftc*f*b'nhuniLt^'^)il'fl-r"'vkr'f,^thtMaAN We ti.' ca*7uttr tan bu' b*y Mffi oll6r trDlt)

*tht^ ry; + fsn's/u uab " tM nt'v'yl -/^ul'F

Nh1- & \t^f r1t auL' ti6 u*7*h' )rs r^offl';t"nlV nl;'*7tJ '

A^il,atoryutuduit''>*o*utrvui/*f**qhultarertilt'orollf*'^'{tt'tttl'anailfrn'thbwnLM*'^Wco"L6'wPWtLwd)dnryl'hruint-or'7t

&EN 4 fl^Yun"yLn*^blu il'fl"f

)n,frwl6n,s art gl cl^r an f"6YfTEN,

855e^"A\,

tan

r-LtrvstYwtlorl

tnlJvrr-ptI

'v d"

o{"b

(onnol nf"vryL b*fuir o )'n" b/ bint

n ) tr Lofro*

1/"6uqA at1{/

A

Page 77: co unit-1 notes.pdf

HLro oycrafuna 1"r i"l*r"yL cy cle-

k?a ; ftRuo/fR |-PL )k?, : rltAilL-fR 1 Pc e- o

e?s : PL 4-Pc +t t %ENL-y /

P.f ) R=t q aL ffieT

8g

ar€ f

Ak cluarr) 't' o 27 bnta"L uf P' )a

ffardkw"A 't" feny Aa-fl.,fR

-; rahrn ailrw iA atfi"l in lxoir'nn oq Fc ;rs cl"^vd * o,

Ra- o | 8L? oL4 fl^t***b Pc *" t E

Llzov.t 2r9,V Y4 k +

0r^hl T^b'*Lfb % ntr

ul"r^n1 Et h o.

Tle blnn;nX t] n"*1

cu^b"t I Pc it

b"tro) yu tAffiVA

at quftrs Kt ^uN

sWo'ff*W'S L;rA P ,<1ff^qe d*i 'o

^,^ilnu* 116l

$*L iE'^

? urrl6, rl rb'"L

olulJ^f" tl

h.6h [^lLle haD C*ot^fun &'fo

*,uol k l'

:^ fn,at 3t" tL6-L- ld{Au

)Mt )n lr*hin t'

57

tKeY zlfrusl4

lre ;12 1

n"lfre vJ'

;nlor^*hn )n tswcA

,rl;rr) laAL iA lfu

Arll,t lk odd*a't 4'

tM A);LL

r l-l

f nt; A[at L

llo ^

r!

l-?u&l' sfeYvl;on

Poo ttI

-)

)

<. IlrVrwt6f\*"ff',OW'l

aA & to ilulan I aL 'fin; tt rv ' r/

Page 78: co unit-1 notes.pdf

Al^dntA"l/ It

{f,stfsl-{

-.{3tstt3l..{

33_13s-rl

J-.d-.{

..<l

--l-.Ilc-l

-l._d

33;{

f-l,:ttt

tfi?

'r

,4un

fi

SP

,9P

a6ovt

ll-thft.e

) Aotrln

ry,t*

i ltmA

c-) dl

/"tJ ir.r

lAz

tAz afuL)trlL (f paaA

)nh )n-

[o atr -rna

L,t- - A e) l- ^*k vt kP " ( b;tt

frf Stwh b"7** T s+-*oil 4k-b

f dlmb GUrr,ra)

&rL

OA

ronsfc trf llA ct

A,-A Kt d*h

q duc-ntnu"'L IAT

NoN b -> q "{ AEa}-

$ 3P= &

?a uL ^ ntp i tto.'' Iunrte-n

on t9t so. it, lk

grr.- *ot{ atdcL t 4

Lh- ! l--."

L-lr{laee:

aTa"L A

AsT 9r C

,gP r3

*t;

Page 79: co unit-1 notes.pdf

tdar, %loz "t sl=63 Citttt)

pfu^ inctc-me-"rLa, 63+) ;

Nin. V^Lt trSP2c(oaooo)r^lfun d'ocr"^' nlt.| ' a 'l i

taL,fI aooooo

L,''\-'----/ v I

t P (rnkn t

tl I I t t

)rt 4"ttzr-Nff

L;r,^*w A^f" +, 8. ssrfllh(J

tfu aY"rl-oul gt)-r

d^rlray A ,-sP ya/,t * rco'd ^L il)run o '

W,

R,-) rt"* *,^ /a ry tr dli.b

Dtcrw *L SP

l1&p=o) ktn $nfuat) tAul tf ab''L tt r*ft

futL 4*o Nail lhu al-ailc nrt -f"lt

F:rror 'ceru{b if Sb'L it p*kd r:l.ot' Pi'tLL -- |

ot a f-ff*l ntun €Hfi = 7

t - br L x y *l'n,^ ( ::; r:', : r *:

lL,^-F holcl'tDK q d^k a7;,tbi 'f

ldl6 N r*A

' gP,aft,/tl '- I

PULL> a

I P+ SP "t'l

NtKPI t- D R

t{ (gr,O ttr" LPuu'D

fxrnll + o

POP.,:D& <- H rsPJ

Sp<- SP I

dnr*^unL

w;fu fla,

tkLL ;f

,qank ltr.l-

{P

an bf T tta

,<t^ilc i,s -f''lt

atacL YwL

lfirb

+,*?'t

?r {

Page 80: co unit-1 notes.pdf

flr^o^ &k"t:

> Xl AwLb i,.s

,f merwAy A,fa-th- yttnb"n +-2 rnlrnoril

' A"l dreu>

f*yl,,*td in t?a bil @ff"'"f ^ l$L-*

J{III{-{

-{I i'J|s{3{.{

s.+

-f-{!-{-.,ll

J

€.

ahrL{r{

u^i} ilooo

&ooo

Eoaa

.111"211 I3111Qooo

Qool

PL

AI,

SP

-)

-a

fuinb -k

Pr^h *yoilz +o

,rl,

..d-{333.{c(

Sarl

.r\-u

P*fi*^A ^(ndYrcfu"rY)

D"td A

byr*^nl')

,**ffi rfiil; rYofffarvl'dob 9l abth

lv-4tlrnnlA

adkta r .f *'', ! /,i^,jf ^fqrfniyY#; i*'*l'-Y 'to \ und )u'r'^fl ^*u)z /^te :-

by 'f d'Ecr ^+^^;Lt on *7Lru^,1 -+, P*L o?

^foP '?:i^tu D( fio,n 6h''k-

Page 81: co unit-1 notes.pdf

73

tlkJfn',F^l

,9tac,b

va-lue 1

vrow,\

SP

wilK

= 4oolKaL ik; ia

d.eutaA)v,.q o"ldre'l'l 4 o,-L Qoooa

{ucun l ;h^ oL 31qf

-t-

j

,lA/ L a'clAre':tt ut ul '/or d lfu h = 30 o 0

P,,rxl,'e-- Sp L-SP -l

nfsil + DA

!g: Dk + Htsil.9p a- (P*l

& ,|,w -h^r utFerlont oY ?ol: :";f*r^ !, nernDY[ )tuo'^f1 sP

t:Et:

tt:L:l-f-

LI

-

-

-

-

-

-

-

-

-t

Xt (ifuk 7t0fi(\ b'[ )ur*^?ry r^Ln\lrff o'ldrtu'

J" ?u[k 4 sP i* d"'u^u'toJ

loP -t Sf i6 incrun^lC)

il+ dtr,t- f**o btr increaAir'V ^*'Y c'ddrttn

-f'r ';'; :;r' ;: ^r:::::#,

AJrruJfTc V r^L.^.eYY dlr"o'li- tb 'Utu+ cPo can

'$KwV l'o{^fl + *f*tf cat^ o})rart' }nff

avc' l^bl a 'in SP

d,**'7 ar*

(q n?n%a)

,.ko *arl"lr''n'o

rL

iA

Page 82: co unit-1 notes.pdf

Rrytrte

,( l^r.t

tIt{-.lt

{rL{

{tt

-t--tt

<5<.<t

<

<

<

-tir

a\

<

a

<

-r<

-

-i!_

t\

-t!_

it_

it_

.-l

EE*

l-0 fLfal^'on

.afE#

at)#a

Pol;ak nlukh'u" l

hrB

*-Ab

Ab+

AryE*txP

- etffeA/)P1'1

- tclqn ovt

tk R,,

Aemvlt- tl

{ilult

-,Q*l- lro^

Po;nIE

frtr '91ru1 oToa\Tr"s

r c-Dt ea a/z an 2- atVc h

{6 ' ,* "r"f '/ 'tlzult-

ur)unh 3'L/ + b' '

*ff*r1*b- n ,tfrrk* f", er"h^Lfif ar)tf^.f,c eyeru:o'-'

') 8"$o n"liL't'

) Pr"Sn o{ Polr's}'' n"tohon

-) lotl$y or f,tvdte pot;a\., nohbrn Urnt)

nlnl tu lur /ko,[- ^ao?'lol'i^

in APN : frD*D-tt *

ia rttanne{ frr^ l.*L )a r;XA*

o7u^la-r irs reoiluJ t lev !'r*' )Fe eynffn w;lh

oyeranl4 '!ouo'l on ltflailn, 7 ,': 'f*ly, gt a7erofar , xYlo'"" lAz"' ry th(-

ftr P+Dx k -'{D+D+rl fn frPN :

AB+DFrtxf*+-

La*,) -r 6+il )n RPN'

3+ + 56 * *

6

L1[}

gl arilb N a/N'^Ya

Page 83: co unit-1 notes.pdf

-,

t

8c;rnt f-;c cnlculaYo'a llaL

tka| lta u)er Convcrt

{tvutte YoL'd[^ "otnllon'

ewf-loy

-) fnoFur['u, ft^ofr'

TAe ^atl {a,., on $"da qdo*l in ir-,(1f efe.:

I ofocl e 4'"lrt 4 d7 cd'#'e4 o \u'okn 4b bn f"fo *' J

*.. ad)re*t tt '4 rr rn ertortf cxcldreat ot ^ /roLeAloy

A,7;ttet

tt i dTed$e4 l(e u*ff Inu-W"rFv, il dtua )A

tk, inat -f"r^ "l

)lft

,.,.;nlr-rna-l alAh /'clwire

ar)lkmet-t etlrurcrnrt lnk

3' 'n'o

l'

Tfu r\0. ef aAdret't1

(n "$^t* )7uila en

Hodl- tor*fubra l"tt

rfl Iin*lo acc urnul^ht

all oytwtfrnt\ are

liol d't ln

tk? ?"t *")

i^+, on e 'l

eTcravwl otr

'rlntlt-;r' )'

't;k

,

-

o,+nawyb*an a7;dlaa7

Tlllr,, Vt,rn

t-t PU orcfwi)auon:

;*71;*l o"-^ulol;'

{', nlll-

Sqir\le 't'I- 7t U " )rvrt '/"r^^1 u'/e/

{t, PDD xI

arllh &r\

Dn e o)irun

Ac 4-xa

ftc -)

Ac + ntxl

^"U"wn tf

at",r*uln]6r

*yzra*l,*

reVi4ler

Tkt,s

ft:

N0

Tndt' 1'{*A nu'dns

ADD R'7tQ, Rg

% *dArnaa +"Lea ln

3 x7r,<br a)d'rur3 #'"lJa '

&, a- Rs l-R3

Ka- ),-,rf &n Lu rdw"4 &o^ I * a

@ C, yt"]_"f,@ey,;r"1" n :

-

Page 84: co unit-1 notes.pdf

dr,sLirlrin *f ,V lld rlame ar1 une Y rk lource

ADD R,, Re R, + fi *R2

?f Nov R,,&. R,<-&

'LfrXrrt/ril7pc t*tts nrd & n ilre,u hu*a h nF*filffi Xourr" q We ,,1e,<h',nFun

), ADD R,, X

ilv

I'&tJ{s{;s.f-{

-{s.;.-#s-#.+3-ai./ls-{i-Ill

-r,rlll

-dt+ ,,llli

J:-lrllll

-rrilll.-llli

Sradll

-!ll:a!tirb, ll

-,

ll

f-uSaa

Fb!_r

3-I

Rt{ R, * Il[xJ

R lrrruuo 4il1,t l;"

y lKe ubovu aY;lAnte-lt

,nd[;J'a,1 -f"r^fia &n

/ov lnemuty aldre'sl x

atok r^^{

be- Sluwn a):

,6r ,ff Rt

@ ,fh,* Drge1ym,,'

f^ft^"{^l;w

*)

Cs*f^)fr* ,o,lF dtilt ory^^;Vt-a doould Aave PusU S PDf

;nalturfronrt pA;A ^TwrL eil. a"lclreta $e)cl'

{1, Fugtt x -+ ,f,-^akea lKu NoYd nL a'l'!rn'so x h he bf

"t ttu dla&

-@7*aLTn- We tnttr, l, noL nu.) aA o)dr"vt -fi"N ;n

^tfrl {rrfc,trtrL} by'rubia, t'ry o/craffn iA 7'rh'^"'l o/)

lk1 f,ro tl{^A tKaL eYt an t7 V aE'L

q, ADD ) ,loua thz lrfp^y f e l+ ru'A fto* lhe

,stt^tlc t ilda tl, Yt6' A ry f"tAl"e't lla

'{"m ;'lb lfe abclc

x , U)+a)+ k+D)

74",lrfkr*t

Page 85: co unit-1 notes.pdf

fi@'f ""nfu@,- t^t)?l lAfre u"ldrea'>

ftDD pt/ A,BADD &?,trDNUL XrhtRa

4 r*,s in lF" in,<h hr^nl

R,? NTAJ *NLLJ

Re *- ntcJ + ntPJ

t/[xJ+ Rr x Re

l-t t+) Q o/r*n) aL rne$ortf addrt a A

* ailw*l;Ve ,l

l"*lfd*l

lAfue -nAdrc't's

xtl,vn eu^l'obT?

jur^ol fA t ;L ruulb )n 'slorl

anl7^ "l^.c e:7rtu\io'nt'

iorft ,.s ^?w;re

b" ^""tr

ll,fe e ^))ru's't"l '

jrlx

5

t

!ttttttt

=t

fo"o - AWA trak^rhma,

tanmol'l In

Hov R', A

hDD R,1 B

NoV &, L

Aop Re, D

NUL R,, &.

llov xl R,

l-l>eqb larI

ls*o A

frDD A

SroR€ TLokD LhDD D

HDL T.Crn,f, X

0 n" - od.drertrsr- It-

)rrl trucLun\:

uAq -AL' kr all

'ior ^ulhTllulon 7

b;n^r,tr c*") J+o ot*y

A,rnrr*ruotl-

t2,r47ultra'

R, ? ntAT

R,a Ar *nfBJ

Re ? AtcJ

Ae? Re*ntoJ

R, b R, *&.

fitrJ ? R,

,t"b man;7ub)in'

);riAion t/,Tre 'it\ a nr"J -/o, a"onl

AL <- nt41

Ac+ pL+ ntoltttrl Q- Ac

At- <- rltcJhce Ac+ ttfEAL? A( x NfTlH(jr:l a AL

Page 86: co unit-1 notes.pdf

- all e?cntrbrt) are )or,. bl* frc *tr,ot|, , a ^'^"/ oy'^^J'''

7 ; ,^rldrw tf ^ EYorV *"f lo'^l;o' {or

abrt*V )nl{r^e);"h reault

Zero - ,Ad-drr,,t,t ;nrlT,"l-ona)

SFnrb -oVn*V.l cn*fbr oloeonoL Lbe &n o))r'aa -frelJ 4u'

;,'r* rt /+DD 9/ HUL.

PUSi+ g( PoP fnrta n"uA an uoldr"vt fi'uil +' f'"b ll-"

*Pr*oe t{^b 6or,^n'..ni cal[t 'rifi tKe AWilt'

PuSa k faS?Apusu E rosa_B

ADD ,ioS - (A+D

yrsStt e fi-..j a* cpuSH D fcS <- DADD Tos a- b+r)

r10 L fos e- k+il x tA+D

PoP x Hffl+Tog

'^lD &tvarAe 7nL'aA *bl6n

C{s{s&_-{i

S{33-{

s<:r-<-{

s<sq<l

3ta

:\.{

<{r<:

-<

-<r><t.a

<aa!

{r5

aE.

uf.ruNrn

ina.al,n^lol ba twv"lo)

*hclc C6w?ul*

Abrlre'tz,inq NoAna.'

,*: sule 1,, r'k'ffW 0Y ^'J^fVt^V tt'{! o'llru't

4inil rf- ;n,5ffirl6r; $u'fore lA7 oTeranJ iA ^td\rrkrrnrrnl'

fhu avo;lab,L'F tr oACrearn'V ^oJ"t Vivu lAz f',o'^rne{tae Abt ;l|ff ,+ ML;, foff"ooi tk^L aye- woYe "4fi'u*t

Page 87: co unit-1 notes.pdf

C ?, pl;ul -o..1, :f

* all *f ,\rJ

inalil,cF^n'

- f-ra oldreal

f,^yLd ^ol

@ r::d,4"l)

A'Tevand iA

Itrd '0.6t

fwt tk l: tbe aA

t* ,t-f./lllucl"'on"s

r.- i-f r^Al^crel,.tt'tl'

Nao)t,

t

t

I

I

I

@ Re,,ialtr ^uJ" '

- oyurnil,s ^re in

'7;'sta o

Saxb^lar lnnni'*lzr i^ (tel""l'")

lhe te{u"hon

(6) Ruarkr i^);rr.l '4u'oync;{, u

a,oArerl,l

"A"+.'l lor

- ?*tt^rkon

V?ve ike

i- u-, Aul"L"A

ralka-r ll6n

CPU

)n

A

cl

brla t'

"ldrun

aeJ,.t a

* oyeroo;t ^re ,<y'c;#"} ;^71;oLl h ltre d'q;n;)frn 'ftM i*lrucl;n

q, G*ylen^un| ^"'^*lnt;'

- ,^)uo,*&u : odrlrenoil,t, #'dJ *l f^'lt utt\ l*url* M: i'al tl 'nsr

o'rv

t6,l'AeAide MKn tke

h^ rt ,x7ilfcr hil'l

t7;rsl{r in tta cPu raAaa c"f-16

tM uTuro^'l in men\orf'

uyr^^/

(y*J ;1, inVL^t) blu r''\D

clLee.trnul,.h, afe ;n 1,LvJ*tu'lu

)ltrel+,

Li,a, a/\ ^J)rrnrt $',il.

t"*E"L {nlue

qq'\

)n a "sk,b

*orVo^;yul t-"/*ts aYo

a7*;#'rl h W wlfiubn

1n; an oyu*,,) 'fr'r]l ^atltr^

)n;hoLy;,,n *1?atwa +" a

,loq;/tl{Y Conla'nrt lKz */)rn't's '/ lKe

ll t

lKe oferanl lr"l'f

I

*fn ,/ men\oY[ ,Lr*f\-

Page 88: co unit-1 notes.pdf

l-L JII{

{#3rtslsrtsltsl-ttl:r{

st3!a=

6) fiLrfs;ncrt^^L o, hrhdr.wnnnL ll'"le :

a;n;lav h &'a'lle nl'^roL *'lu u'o-'71 ttr*F ka

iA **.nbX oy 1**k) olht ilZ 'valuc i's u424

+o &tcelh mzrnorff '

@ u,J. +" A"{"" -h n t^l,lu y t"E in metnoYf r

pkera iL ib rcuA *V h n"rur^rrrf 0Y ,l*tu-un/

lk n? oilev u*ry .lLccul)

-b *e -bblr.

+ i*'^^L r"d[u.h-wJ *,^f lrcw-,"u'L 'or

h,** Ad)relt tlil":+--'-

- I'p-ro, e\fwhrc oAA,w , oAdwnt /dL tf llz

oym*J nAicleA in t"uner'tr gf ih ^'ld"uatt

,t)r,*lil ny tl''z oddrYat '#"1'l '+ ifik

),-T a, n'l)*'* $utl Y inttt {*'o lke '))r"n

toAere

n{h'W' aol)rea't '; alov') in merurf-

Grrtut +ilriu tr'6+ f{u' n^o'[ f( *u iK aAlrun P'i-L

-hacLe^A^ff*"b*tdlMn#*l;-*&'uv"

- fuo o^)druao'*tr *t)'ea uit'e u '*

tl6 il"(ru $^tld y

'i^At l,u illr; h [Kt ' *' la t y ^ <*pzc"fl'c uhbevg

Aqal& ln lha tPU'tl

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