L-8^Opoincare.matf.bg.ac.rs/~antic/files/2012-2013... · O l{blua. o1& u d,tn:ol , atrqo,rl uB^{...

28
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Transcript of L-8^Opoincare.matf.bg.ac.rs/~antic/files/2012-2013... · O l{blua. o1& u d,tn:ol , atrqo,rl uB^{...

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F-i X'= frnt; : r-l : s1

Tt*ll fr'..l,',1'lI ;^ J l. f".r,, n

f.,**, .i [l I

(o"o: 4:o)

Il' I *,h-o= f,,+n,1 =, {fru,l=*'";fi*,,tr+rl L o J

--f Fo,a', u5a Q5zgaa!' uo6o*n je f,a\'t"'*o

f (,, f',n ?.,r*, I ^ , ",, -/P=l II tr-,. fq3 fa,rnt I I

l" o f^+,.r-^)

(6au^qt,a.,t*c (\Off..nl+W*lb€ !or;i,,o&*6lg4un1a*+vl'r\) a

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,\xt=PX

t /r(O tl1) r-r 4 t,l: -{)

nF,J= W,i:l filr bu:olt.-+g t4ta)

^.[1=r; *] [,lr C(l:()l-* 6,'1ar7l

.*.[il =[[.: [][l ]

,tr,, +o :L) \=-\= fn" =- f.. +O

fr, = f.r *o

=)

:)tc-)

?r, * frr= L (?,, + f,. )

{f,, + fr*=3(fr^*?u)4fu,= ly,^

?ro = tPr.

fr, = / ?.tfrre - ?.2 ?u e fk

*q. fta= 1

*+***7+D4a

,.\r*o

1 A1*a

Z)L *4

lx +l

ir* =*)\rr1 -

,P's T =)

'ftu l

frr 1 >)

f', I

.>> A1 = f'^+?t.t :)

3\= fr"+ ?r, )

[;] I ?f: ;'l El

Dflol€ut*b**Skfr*c

wr<o(€t+€ tr.coPL,

X(xt: A)

=\ - t- *rl \ T.nl

rt - A{

A+wke,^b k( ?)

?c.lrl-tsr _ t {

L 4

+E

-'.-E-

= -€eLt+t lIt-+ Iet

@3" fra ds

ll"L" : a)

t,$a*U^a.

fx-SurLct{,. .,}.) xx *P xe) e-x€)x >o

.)C- c.o;9ci^(*+lu kr^aAg"W P

@ Ugv"guo,u 4'ornfe',o

6(r;n} uga$og, F{f.o,, H

A(O:a) pd 4\tq :-t)Lfq:a) H b'(r:n)C(l:'r) 1-+ C [l:s)

=)\

(=) Ir{l = Ax. -taAAt = lar +*z

a{b:}'s tthu*p rzgc.k- ",lup-"%*i? t@4a Daque +lott), 6ttto) u

6,auwe- Atlt: -,r'1 , P!1tra) . y C0t$1. Agfy* v ,as.l d4r...*e $ao<e,

P=l;il

f$pt+<efqals , b?r: o)ff Btr ,.,t)6Di B(.o)t-,sg'ra)

b*D*r c:r i

= 4 =rI

?J-; 1{4 lt4lAt-n

, 2-zc +,

f;. aE 3" oo'-4 -/

npa+ .4ev'"ab?i", i;l= :l';Afir",r"la^ 6a4tt*, r"r, g a*6.(aoPu212a

gt fly7,,u*u \aC v C $?ec'nr1'*'fuXa

?afru6. rylrrv *itLadawd e rte't4,oA \afud taw U

tr,,U0o ?

1

egr* je +rq-ot4 fr, a \ t(A d OCr'Co *A'ttt'o

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^l;rl=Li ;']L;1

a\ pB[l;']

A=3 I F-le)x =oC:,:

('a I

.fp(A)= [";^ oll = (a-"A) (1 -A1 + ,l : At- e x+g =fr-3)t

[;'-^]H=[;]*rr - tao& *\*oXrp -\ *')

q-:-;)

il[;1h bL-j-$z-3

,) y'={=d-

Axrt zr,i -rz z*-l"-t=-L-=n'Aqi ah +&*t.

*r*^

2** |=

{r---i..-

*+4

pgor'f €rTA t+'ooPLttrt+ 4t*|

-

a r

-l

nP€cnqh^.6$lberX l{o6 Wt- }taoPJLIl-, {+*reral'

ATYTB PT 3ftit65e (& 4t{"4 *b*?%Acf,e tt*^df"

0l (1n, xJ @**' (Xo; X,& (,r ; -q) *-*''rJ1 't I O)

0?E$ r,\t*rc c& ltooP&tt{&4'Tt*a!-

(;t*cTq{* [&":a) I ',tooP0'l+t+4lr.i*J}

c*cr€m (brr Z*l ", l'LD''l Tsr u4 h

*r<x r,rtooP&If,tt LT€ lq I O)

\x= T3

^fJ s[^ l;] [:1

=) {= [f

+) \yt=

,h+o =-) A=tnn

-| a $roe.) '{q= -tn*O

{f$. 6r, =4

{a3^ f*I? ^af Ln )

#lr;eF]rrF,q

f-fttr PTI :l- .**,-.p*er

a {fi4rPt*tl\A 'i

'f{ Opgcs wr;*a***I Hq1go|" x.,tlotr&, ;P't't*r Wrsa

&t*erBft,

-f,. ) I

-,1 I =))Try, u.6o.ouo'

(d,aar'+o *.g. T.

IPrcf,l-wb+ t*>€

', CfArg H-r-'t rcoP&'

Axr = FX,r**-s\X=T3\/=Ti

?*{=f 'Pto1TJ

=)^Lill l=

=[i i)= L3;lt? ;^1F iJ= F

aO

-t

;]F ilr-n=[l

a[:

x2rA5o

t= 3brl_

(rdt

\1,nfiol €trtr*bwl*3 Crn I4'{*

A'O *"}ll*}Sn$c,

(r,Fn*cs\+r{ ty)+

#L*t*W* 6€c,4t"c,t+*uw

"0*4$€*3 1;h',1-fiAt

', x3l%=;s=

3)n *[r-= ..r -!o3

ry*b*t 3

T-F;]

jx*

Page 11: L-8^Opoincare.matf.bg.ac.rs/~antic/files/2012-2013... · O l{blua. o1& u d,tn:ol , atrqo,rl uB^{ "te afisua*r ^+t+*e 4 o.lcorrtaz ou,5|cruv, @o?a, kaaa ugcde € raoA )o {at,C Eakr

O\ qT€..,\,,.uq1onr*-

}ri= L*t+ tqX ,2t . \*q t r^te-

tlo,tu s

o\ *-u,uUrt fr61t*3

J) r+-6- utoJt wr,'^{*+- u6qlubo6ys eaa.t^e4 6 .%,,^ # a$u*un u,.o?gtrt4aarra ia{2-Agrltr,rrnda*e.

**9**H:r?(A! = dc|(?-A6): lT^ ._l

(=) I.*{*O ('=--t 4r=-{a (Lr A(l:_t)

fe.t t1 -IL=a (F="! "t,=:C1 C--r B(l:'1)

6l TT1.xt^* o,go1e,gfru6*, *?7u,*oau* ul6*r 2 '3-- no\X*oo,* it [%n*.f"n*

.;;a,r,/- fuiutuabrro low*at,.^ aaqt4 o 0?3"* ( 'a' d* epu9fu4raa Qa d; g ae/'<*oh

ba?uta ;y"cvtt*tearag ;fe'utvuoh,hz drno *m'oaC6461*-Rc.T*?€ uilhg

+ tt:-\) i4 4 f 4 :ot r -llrb (t:

f :cr

+-4€ fi?€cttt*l;t4z*'w* v *obom troo?5't*t+*-tlon c*eqepl'

^[;'J=l; :]tel

f = f l-r)t*}t = (A-.F)(r+{)e) f=tl :1

(?* €)A:Q

[; ;]E]=Fl(?-sels =Q

[f ;11i1=[;]

\^= -4-F-rr._

-tl- t f a-i[n4,\ -5 b'/o:'t): {.) lx,n: n )

Ar= 5

. ff46ll&o

^X'=?Xe! ATS\ = Yf: c'e': .\ )' =J-4 p qY

Lu-sd

= Pt'n

ll[i, l1 =i[; ]lt,i]=[: 3J

=) i:l :-bn

f,a,, z) z'=#= #"?* = T-n?f -r i [i ?\ti--, \[ij ]=[;;]tiI

ry5 cu^To€e* 4a€e

trIrP. tltl'tnfl'rt{14 t

,^Ja erho *6M, E%*A

04P*Eoa11rt rt$ , oB#ooto

apde JaZ.EJr1ielL,frt(*-

P:/'ra6 Pu\6a{re"atnao&**aD<o

D=O A

D >o

P+6 (+eq'+;11€.t\*nr}#\vanAPAEoJt*YrcxtlngP6OQt*t+src

o,T

Lf-l

{.',l

t&Trw*4*?,^a'"iua{.aqu*- *a} u gai,l-o

@105y.g"6u uadxog* u g"fr,a* gc^'&e 3 ..ngat;*,*o?rra?.,w

etwit{lu,rtA pnatcnrtval, fitElc4a x!,fu4d]o/,.,"'ta4,

L!./-IL?t++t*l+r'FrAE? cP*r,t-c tttlk 1-4r *wA 0 DfCO k tq b* tb € I r4.fr+ wrvPrCrn*'t Uclf flaDr+&oh *

P+frf DLo

f Dzo

f D)o

{f6t tL.ha WLd (--) ? &^A4 "oa.|g. (a ? unxa cpa' (c*efa c-4 ?'42't*vt '(>' O'

Q7{}) r&a p2*azbu6 bUry (=) (et^) 4^.a l%* c'ailesocmoP' u oS .f, Sut"to\b4c'v u'4 il$qrC. ata f -c'Y'a'e /,'4'*ta*eql,- z

' $'wW ic

, ,Bbc4u, gk v*@%o&uru

)<t+fiep6altt+qtr4. I

4 f=l ? uro 4 *,&.

ud?.id \fr{?L2. (1.,h,(=1 te6r ",na 4r, l:;;;1ff*/-

t+sac r-r vera\f Lt_br** <aa' opoea*'sa sr P u,.a 6q1'b

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^\)*\aaae.t. f M7r, 5eX..r*^r,eetrc 6an1'aloauva Y*6atx- + uoNe f,e gd,tu ao(e

A {rrru,nro ag'u kae' ae {tnt'-tn'+kt-Tge % t< u /.lt patrt'c EaeK? r};ca'>'6e*' 1o6o

AJ[o* ;e 't'=4\rtl , gouatwau ga 6axu k$<"'mInr'4)'

{) 4t*>=,a,

*rnt="l'tr **

1-t,gadorulna

11,*-r1 Ti**+-ielu*a,6 1",,q* ? S: \)(:=PX

Io *lq:ol Fb A(t:o)

\[t\=[nl; fi:][31 (=,

. j..r (: : r) 4-]f tr3:jr) r'*a

.6en T'duEraa o[^Qo"'" t<*?rc 1a AGW roo7,,+*Eutr

ga,rfiar.1 q;,i A('l:O,rr (o:,tl

}.rt('t :'r)

\I\*)tt

s) $= f:, lil = AL L^r- l1

p= f[:, f,;]

^.[lJ= t;; X\ t:1^,*]' i;==l:

c { ; aaca lu*t.'*'ro =)

(.t\)= ele*( P*x6) =

$= ttr+,\'-q* B

D=c>

{ t};4

D=ot9- >o

}L

) =-t

,]^l = *-(r*+rlA'ro

lnt'= P Ht

X (u"r n', h] ,&)

J-t tht', H 'r H 1+f (e)

C=-)

f ..u

H

@Jo* \o€*^ Ao j€ Dp**d?of^'a 5%ev

ageL?g, CI.€-ga^' A tr,r,\u*a b'C !r A

-t- L ffA \w l*AJ--L ffi*auJ-c 63: A(rro)c d+ t B(oIr1S,B tL * ga\Ar. ffeti u,c L Cl: t)

( rnt'^ t"ttA

( l{'A mt'ro

= fr,1'+ A

=h'- A

,{,rtA *r [lJ" [ ) []'\*"=) P= H.,. t:il =) r= L: l]

)=-t vW''

*.1 (rtl.t4nr*\ = *, + =*n1

:'/ffi)€&t+tr-crB€r[t-aILp€Se#[+ t

r,) A5=f,r*JPneQ = ( ,lq+ ?.2 =) t "=

*T'L

t-\ Htt= +(H ) ZF l\[11 = tl]

=) *r": J

A('l to)

n (O: (\

HI(4: {)Htl [z: t)

qr-1cu.a,u8t* ry6e w1o ff!*utu* 6a\ua' 4'B -Cqwdtfiuq$A"

o\ru7toavu F*reu^o 40 26qe"o tteoPgt4&61u c+ttuv-tt

\>l=ex'ffit[t]'H i:ltl]( Ar+a -' Woo.ss

^,[!=t ][i],"*" -i:;i;J ,'*ffi/$**sfrfiqdttr'o \

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tpr,. t=dct[P-,\E) = F: ^l | = AL-^+/t

D:1-t3-"5 1o =f (-r*afru\g

rT {.}4 \r* *

A,3bL?

bl-4 L-t-C,5) 'lIffi,*

(nn.C) 1 *a= ei'oect'tut'tu'a

e'. ) f>ur.tu ,,, ao n t'ltt

-92rx, aa\k je[k % ?2'l6t'avid

r,r) ",u * :,: 1a.+.*9)rz) 4,c * f5,h \ e'

1a) 4,,,, * brc ,.,nry.';1'4'c^''A646 g&p*q, latae '" geo"6'$xl)

,Ar- je (t) #,b + q4 c=l +r+r, { 16) * +celt+(0*t(=)Brg++rM(3)n,

.otto;e(z).s,c*B,n G# B,,++c,N cd\ q,

oao jcff)Arh*U,,c C-t4 B,Mr4rA ,r, l,

f-1lio*^og, *etu?,'- :u*e*tt$e T a :'',"::*::!i'" T-;. ','" r7*-^"Z

Xt =PX , de+?*o

-ffiy**d{*?t-,'%%q gona

Jt),\ q.M 'P%4+e'a%%Ar) w Heaba offf?ffia%%A

CN

qun

A.*.O

iQ de+P <o

J" db+P )o

@)o,*1pnu gd

s=[; [14qfAl = dtt(P- \ €) = tr1- (qn^* Qrz) I * f^^ f*, - fr*Fr.r

;r,. TrPA + det?

e:tt , otu /o+[A I f]'A3 :: ,.

t\o$n6P t

-b *?Lgrrutso r@fr *a uralafi

Vlfn^-X fna l-_I ?r^ ?rr- A

G': D='(FP)"- 4 -de*P 1O

(=) W \F"P)L T_1 =.\ Jc+?>o E)

olc*P *o )

f- *ron}o^o,* Y,e^"o(w' ,,c*- oguyeuzaZOz!

@0,*,*,,-..3o ie ap*o.*oPa.a5u|}a 4 an,pSena-€,* wok go n*a ,'*,-,o}u nv |o\*ux ul.alcu.a

A _ A ar. d*u A,={(+) u - i,(t*, u*btx*s*$" ,bt 1""d. )

:'- :-' --. *^,..]- tt-o*ttt) th ,lgau'p hoogguu4r,t,- ta"&A q1t

++c sey rvtu,,itlo oftultpfu p*elo g 6te2,.:o t^oo?gqu46r.' |4./d

ifl- ,U_ 'ffi,=[[:

[;:][i1 ,; W :., %=[, ]l ,\,,"+o

J--",.e,a51g' {:u/--tax rA,r-r* - 1 ,,r^n -r j6l 4'-t 'ALfi,t l[11^,*,

-' m* )oaPu5.. *^{{!xt'=ri* = ,r., r;= [l:.]t:J=f] ^:"1'\\+a

-) tL=[; ?]=r 4a= 1.ol

@nt-et*i;;.o't.1Yti$

Page 14: L-8^Opoincare.matf.bg.ac.rs/~antic/files/2012-2013... · O l{blua. o1& u d,tn:ol , atrqo,rl uB^{ "te afisua*r ^+t+*e 4 o.lcorrtaz ou,5|cruv, @o?a, kaaa ugcde € raoA )o {at,C Eakr

4-,*4offiA?.l'ueltor*M\c , . [,rrr lft]r.r^-.)..:6.. "Ff;).\{,? 'A''^ 'u.[]=[ J[]'^'' '.i:[: ] =' i6'..*^J

Gp^r=b p^z

",JW(dt***#'*

A+wo*G,Il+qa,g i

lrn *nP)

(prrl = l.e-$*\€) = -,]^ | " ^"

-1- ( = h-Js) tA* 'fr)

(,r-Ji)x. + ffi=o /"S1LLc * (4+ J") {' =o <J +

*ft- fitLL -^lr,J[l\=

l:^

[;1 =,

l=-s,

L^:* _,;lH} -[:1

o

?) \= G1 -n =r)

I za

*) U, = - ,l.la$ I.r e] Y(rr -$5l

X *iwdo*r\tifi ti.,q ZEi ut^P- i.%Da oP$o**frLb%V'

dr';+P = V7{il= *"S eQ rt} ( -/+-bt+>at e ?4'b)Ifxicrwtr*{'ae*'"

U yPtffiv'ol

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trI@ p*94* _ TFAsc$oFH a4lJ?€ npo)Er4-TJ&& p€ r"*, f& tL r*

{norrnril6* a

. 4+J+lt4 )-Jd 4 fu2\ e-+(*c'-?t'-4\

(: qx.*6b*.L sa,t;

"l

*,1L=

-13

h= 3,a x-n

. Xt:c.:2L::c1,) e, e [o:6:rc)

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aq+6<rzo '=,

u=-*a ppolfi't-(l+6lt*

z)x(\"+z or 3 (- * *'i'o) =

tC t a sol ova-***r€

+ * ;";r* io',J ;;. Gt^,c,A $fu*, *r*u,fl4s€ nro,)q4r..{?}*' 3z*-*17-4'o ? z4+){.'\=o

(=i ari+(ra+*"{=o , f' x,2(=) Xoe >e 9' il,ero 3"iO

941UL Aan49

{'''. \ .rr :q-\ c lfot(;*\ <'(ViuX'(?'i) ao*' 1e()

o x (ari/*z,t\, 9 t5.r: 5,t 2v)e lfo t(;*1

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- ;no^., Xo,'er.'a"6+q Dra6'i b Yi'?a&*' o6t'oeapa' dcrs'p<'tc gadae ("rr+p:fl'perr\(d

-\*uo .5 ,-e'? g'' *a;' 'o-'n- o:'nfo* '$5'iA^t ce uad [a*z-opct,.o '7,,4o

T*lM bu-a"g"

@kt, i',5 4a(e a)a.*3Y' 6laru4 :(L:trz)

u [5('r4:-()' )onovoa'- xa oaulLa

L-i:gts) Nt',a1d ry!o2-*L u o3?ea"6" G'au' D a3 6',*u k*',bic'D)

-1,.'r'r, t\ ' $Y5'"a ov"la i(ArB) 1

B (, :r :-,) I +tr-Et-

ct-t :s.,) tr, lilin,^ . " L:#:,: '- :x2:,;."^r) c e*6a1 ! : /fA1Bi c, D) ' 4 il

' r')

i o'h'-' uao?tut'o'ne

D=1 b t-8'-0 '.

. gaA,S . 6=6i =(a,1)--!t,e'+t--) r rry* --':n <--' T*:::.-::"?-:Yt8 + (=) WlT;i-tV fl ' #,ff r**"

>) +A -^!Z+,,! =o

-) llx. - 49 4 +\8xto F- Upa4-e a'& u ( *o i- tfo

ay"6e=,) 6=[o:-^r, ]gJ <- (Toj €u,G. u 0 4o

Wfiuuao€ Wo$e-

*'j ,4v,6e t qfg- po6rrorI ++AW f:*e trRet

QX^+ Cxr+ -Lx.r*o - oirX.a

(:t La+ 56 + 2-c=o(lr ga+ d -'rc{ 30 /.2

j -+*

t+

ae lL\(a) d,yo,5{,a,w+o

8a+6i3, =) ?'[.+,-tfj]r]

Page 16: L-8^Opoincare.matf.bg.ac.rs/~antic/files/2012-2013... · O l{blua. o1& u d,tn:ol , atrqo,rl uB^{ "te afisua*r ^+t+*e 4 o.lcorrtaz ou,5|cruv, @o?a, kaaa ugcde € raoA )o {at,C Eakr

iiT ++A't*r+ +"? (*)tr5e t (r)

'.r\ -54*f5=

Ct-a; t:s) " p ?.

*+--) A.B -- f

: *f.n - f ga! + bgd"= o

+FAl - tl-7 +bf .t oo

->9 16Z *,r9o =oo =O J.-/

\ -q = 2A +6F

g=fl+pf =zr -iFl

A.Ht

f,"6=e 1

d"6 = o )

[/i*l :

rJl;-.

*(z: .r: 2)

f!(r:4 :-a)

cerf

(=)

Gs

G) =) cef

z) J{ te.rB,(,D) (>) (*gcD) =-,t

'l c=J*+fsBuM c^luu* D=FA + f,uJef cep(*,b\ c

=) I= rA+ f,g

15(1:4:"ri i.-.-+ b'(4"a:t)

r\X=Txl f=?

"-, =

D (tz:'tc :3)

4Ar=t,.

4l'r= + r.A, ={g1

o=d54t= frl\= fgr

z\ = tr, +{r, +{^t

Xt = €r, **zz+4 zt\qz t5a+4,oLr1

L\,=4\n+ 4\t

ft=) )*- =;

'E:t'jL,f+'f

_r Co--a- 2',r

1t'q.t

..; a' I

=-Al-:trr-lnrrl3J

,14 = 1-& *r p':

,;t'

="[iJ -'[iJ --'F

OU D*o.)* tt^kt, &*aS ya 6+v ga,c % u*oo,, Suua,r;Q- tp*'v €otr*u * {or Qwo

o5r*z ua cr;,tzr€'c,t To.!e**"4+u c*ueleF A,(a:q:a), 4"(4:htDt 4l@:/':a\

&!e^lnoripa*c*.e*^r;2.r.soPl,,{,a,ieacq}*qu,3l,-o6e.'#lo:4,4) r*+ Al (4:o:ffi AnF 4", . 4xq=t,c

r.(q :\,,t\ e A.(, :4:o, ,..111=li: t: i:l fil ,^,*" 4 Ar:re,r

hr @;4.. 4) r* *i to "o'4) Ln J LEn +r. +rrJFJ ^r = {,'

l1

(^

'fi] = |q-4

-,[i] =f

Aq H A,,l

'fiJ=i

]til'A'ro >,

]lil A5*o =,

]Ii], &to =)

\15r.."* \{ =e, =) \}=1r Ar=-1r \'r=2

IIs

=[l-11

-q-{

\i= An*4A.+4Xl 'i n

Xt = \. * Ir * iE /,ur'L Xq= 4 \,r * 4ft

-9 .xq = -1jl$

-r \etL\(o\-w",,0.lr=\Ar-= - l.V

\t=*^.

i"gwau\fz V

b(zir:4) - h/-

Page 17: L-8^Opoincare.matf.bg.ac.rs/~antic/files/2012-2013... · O l{blua. o1& u d,tn:ol , atrqo,rl uB^{ "te afisua*r ^+t+*e 4 o.lcorrtaz ou,5|cruv, @o?a, kaaa ugcde € raoA )o {at,C Eakr

{ff g4r^,'w| ct k3' $ a\ a ''"a\ x *' I go'ff

4"Ce a-+ et )*,c,"ua6a #?n!eal"a:

CG : \ X,=PX

xe''- ?-rg1-

= (?')

k=

Xo; :[ ;6

x. e IR,\(o\

- \ Xr.- 6t,

\z \-xs=5*1{, eR\(r1

: ) d.1 : 2(,. €lL\(al

\.c

-'= (F-')"

/11 o=[,4';l

d't ?-r

"=[:i,\rf-

,{Td{*"::i {. : t, x, + Q.4. " 4\* (="t

{', (.'*l+tl*{Jr=o (=)

oht*ucE ,l:9

(vx'ec\ €'' x' =. (=) d'}r./t*o q=', (Vx rdfrx zo c=-) x(' = et'P,/' (--) l€=P'P'

tvxeol gix=o

AX- P"-

x ( --?--(-

Xne z T't

C'x =o

{x'=o

[P=xE\x=o(r"1-;6\{:o(P*-,\,\e)("o

(:l

q-)

(ar,@nl

rr,au f4=) $u a c*<- &Ya,te %

co6ui, (.t'u 6gu^VPgtn

t-uttr Pr'rt^Og Pt

@)ht- cfw*u,*e- "f q'rrc,- L'4 (h'n,l+e a g#e cr,baS a**

olol-" )

*{) ((,r.-4Xa *11*r)

D pe.'

I-t;

.r-I

,\. r,,rl(\\

Ixa5

t - /r*. -L.,

= 6xn -5*,

= xr \ -X)

L, -tt -"Lbrtl -,t

=-(A

fx. *\62. - ,.Xr*7L

6rC,' * txr- 7r 1,t

{^r\ --c-)

)(, -{'(al;o

=) AXr =PX ,

la-'x -1(G,).\= I c -]-A

l4 *"r

o +Vt-c,t€_ r*Kt (?- xE) x=o,:-'*'P#F

)=, |r :i :ltt]=[;l -,

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-{=-lA+n) (.'.4*A-6)

= *(A+r l(A+l) f A-3)

- ^! n")

:o

:O

=Ol;l p)

=)

[: r ;l[i] |,J

-_,ffi61,

-

-

j

-r)

;IEJ

\)= 5.j+U: a;o)L---

" 9W x* &,n :?: o:y.,'X ::,:5,:;:,i*

na"zPuee ?r'l {cP:

5",11. de{(P-A6)= det(p-'ri)'= del (?"*16}= Yt

* il.q$^, ga&l-' P- ut,o ) W buo coiuD(enu q' ='- t-'^'t :

'h""*l *of

^"

Lr""r5ci 6.r=l.l:jl,-ll il ,l;f l] , [-t'5'-sJ =I[:^T*;Ti --'?'-*n+t+trro

itr :1, -l?J t' I r:ll =m *. 1" -tr+€=c+L'. L'Y c --

n Hq.,r.,u t,4au,.ce,'- 6.Lp. ":*::n "l[i i il , (r'-re)r=o

}:1 [l ; ;]ffi ' [:1 =' I,11,"'!ti.:" ' " 4c^+1q'o ='

!;. ,t1-,)ll..tlFa;;t\r-- -L f

c

Page 18: L-8^Opoincare.matf.bg.ac.rs/~antic/files/2012-2013... · O l{blua. o1& u d,tn:ol , atrqo,rl uB^{ "te afisua*r ^+t+*e 4 o.lcorrtaz ou,5|cruv, @o?a, kaaa ugcde € raoA )o {at,C Eakr

Ar=1 , i^ bI-t 'ltLoo IlEl=tlJ

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_tt At =C

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o \E{+TAQ u,ctr r*e*t\n e tc .za\'a t(Po1 natrg je <Aaqa Yada 4'''4ceQ (+& 1n'r')

.Ocl- uottrue*qn€ y )ab ".5a ic rktuct niae^a thl.Lc!!a' fa trrDe L*r+*A '/'tbTln^\

dur;:e;* #lx;^tr*; :z ;A:* * )<nha^or*a+' (nEP-n"'+" v'lon*k*4)

2;:":,;;;;,,r""- 'o*n":."* ti:Iffi:^f,'^-' ) &tSea 4 DApA€;Oi rJqLr- xo^rororlal, r en*+14

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ryj?,;:T;j,' * r*''''o^ae *o(c*h ! -ff;,T;: " ; XT:?: 5 * r:

" !: " I: :::

t7 4";zu,'-6,to7 pal,., 6r*. ^Wii^ 0'r4$+roo"* r4'{4uA 4 nP4rb*} 'r

-'q* , u.tlol a'6gfr'*2 4o1,l,ua,, C*c po(onu pt-'- " 'io"n')'no6oo"'

;?'';o6o s"' c''t?.t't'-;":;r",,^^,"$oC',",,1'nu,

,,oxp*:u', ,,apuaaga' , *fiouo *6e** 4e aauofi<'

/A AP$eue, -Yaiet,a , €u. pa €*u'

@T.r..^.,ac 6.,++e- i€ l,a3ct'xro cl*p*"1^ce ^*q

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x4'=xn +L)

v oqr, urofp'nu

-vo*to,frcArd'[Q-

vll.FO 14 €'tl&Fa+'*

pa \e*4"?ipecau us' Go'*n'

r/t-1-^ o,r+A o

;'l--= 11*,.r. f.l1

= (.r+ r)L (-tr +1)

e- xoa->-."a.e[rr12a ] rei4!2:ru ii^aer o(a \=z - - i \.i r ,- ^'=n

pF .,x.^^!@_aa!ia - [, .l i\[l\,I:] ,... -l; ] il[I,[;.l=:rt,*xc+1.,r1 =c ,{-"\ ''t\ ,*-=-, ,]==ta*uana r\?4D4

q i-t + ?t^ =- d )'a I Fx^+$ +\'1,7i ***4\ute).r\ "-* ' i

3 X^+t* +\ *O

d kn fra'(s &o"^o K(r^:q:at)

...) _r -.{ =*_ @J< v"joC"a6€o;J 06l S*+'*qu'r+ TAY*-* \ 't'u*wa( n,e *r+e t(DJill* t+g+\u'3€)

t #r=rn, =' 541 -) ko '*.t,e y t'uazp6'a't"u-a'

,Tlro*-n^o a('Aal I uooPg ut'aa u''t ta Lt>z-l"ot ''^g' (*l:

aie'e +oae - r<,,<e u &a oSoa

il-,"rt e- 4(o: o, t1' "tca(oa

,;i;r::': ti"f,?,Q , '=fi -: i\ "-"-..*[i 1 ijg1r:-r,ol ,--' d(o'A'o)J 4 4 r-

x '-.-': -'IEL ^ ss

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\ Yt=? x

A3.r : -Xn( o)

x 3rl " -1t (-)A r.,r' = rrr

uZ ur{ox lraoTST rra"iire':n-'

':) U,,*.fr etUX je*,'-u&lt-.tr^1,?1#€r{-^t'1!a- ( 6

ntdtutq^LttN/v !=2.

,, ff'{t{*o! F.l=-r-,,

,

ww'-,f x *!rt

', €:l-lr;l fr:liTpr,t+ fi:L= Py^+ P*"E:ffi

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*oAA^i. 6a*,.il"P- ',or;r^(-5f ?

-r. DE-) l-rr J" g*,;"rc tu aL</ ca 1t6o 7AA*'-t-^

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,, I

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:"r.s*--, ^l;il=1, : ilt?t =

* ! 5N

@l;l- qoseu-,vu€u-o -

ctzcr.wnob,4 ae,'.,,,.,?1tt4 :nff,_r#ffit Xfr.";:u:r''::--"f^^,- i"?7,I,,.\;:* ry;,"i;:: "-'^i:?: .:')-;i";- aJ*""^"e"

'' ii'*a*"' P't"r'

ir, 1, <r'uuo a{X<d , i'u Lcaa.'? ol'' ;'o'r ;'?p Jr^o ?

^ : -

t -; a t '''o <=> f,-o "=' [s:'r'ni-t * i:.'"':

,U .Auc4fi*a^A lLoo?Bu!*a&uor-t c^'cfr;c'n2 oo(>''''t-z ltaopgu*oba tf.e&(/t&,l^!'(t****'A:

u , r; 7-L+4 */*, a{ b+^

{ -}r+Ia "r'i *4/r1 x+2

t *l xr*zi *y'*^ +4 .< 1^o \' x\+4 *,/nr+?*b r+3

$.:a.=o r-> g . --5

r1:*:*T; --1 e}ott:oJ(r: c1t o )''q .g 6r3.o (rr :"- ^ .--'13;ffi --1 eco'

--=-o (*1 , 6:\,

-, ir.,-r,L ^ 1' x-+x-^,o -, + **-r.o *' LCiiiH'; '<f44:'')zr4

'3 1^q [.':'.t",: r: r-s;o - *- ** <=, l7:e:E=l *- ef'rt't"ol

-?-r-, (=, E;i:lL -' J(t:''t:'''f'.1,';'-i r= €'i=l? i ll = (-r: o: -') :-r(r:o "rr ' ' t't,"t

6--;"t= (l; -:t '-11-:l'll il) =(o ' 4 r {l ) (o'4t

?--;-e -UiZt,-l::l,l!il) 'Io;c:r) ': to'at

r -- t(A+ B+:) = t( (4,o\t \o,t\1(o,s)) = lt'tl ^ tTlt:4"11

( r/ag oQuyu*, c'{Au t(e|L*rtt'' J'Y"f &+iau6*9,*^ (*"1*1'4) rcoPSuuqi'apa

?'= F,T= (l:l 3*l ''-ll il 'll :l l) =. rz:2-:o)=L(t:a^'o1

1 **qf *r.#

G,r?o * bn'<

anzlnl1oaa :)

(rnll t '1Ao'+l

lHr

x x'=tX

.Tr-> f

?,,P*far

\= f ,' tQ,rrtlf 11

=) \,,=?u + 'Pe"+1fro

1_o_=o_tj, !i,rIrtt'i

Aa : {D'rg

=) &:rr-u1

*An; Qr"r

+) o = fr2*?'rO = fr-:"+fr.jrr.,lrrz_1fa2

z;t o:fr,t* f^rx1:fro+fr!.\rr=P,r+ft1

CptALwa CAHBT "-T'

e Ls-qA

o Bl-.rC4

OAHg

^,Iil=H:,.LvJ , i-, [i]= [

lill;l x *.

It?],I.+o

]lil , A,+o

"[i\=[ Itil x,,+o

'') frr + prr * 3 t.r :.l*^+ y.b1t_ +g4g-,-fry- f.t + 1 ry,1 ; e yn-- f^{,+\a1

=) 6l* -gr^-1f{r ={tf,,;

Page 20: L-8^Opoincare.matf.bg.ac.rs/~antic/files/2012-2013... · O l{blua. o1& u d,tn:ol , atrqo,rl uB^{ "te afisua*r ^+t+*e 4 o.lcorrtaz ou,5|cruv, @o?a, kaaa ugcde € raoA )o {at,C Eakr

;lltt^ ]L\lo

-)=, ^ [i:l=ll'+t f=

lJ t++:rl ll

, ar'+6t

f^l*t

: \Yt= PX

: Ae =?'d

\r *o

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o

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o *1,4 O!

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ilo" ll'*4o-9

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e= i-; ILr o

o C,511*t'-r- trtgfA' onl*C4kt^ Otra a*.ACj

cIl,i)urle, (r-if* (a- l\'=(*l' x l+rt €? 6on x

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iij ILPr+b€ ,0S:

tn**@\l$Sror- P6&A

a**t o."at* Io.e x4A + 2onrr +}t gU + %} zo

t---? A= *El nPo) €h-r#$Wr 3 *{tw.az

lr, =fi

1)t

tla)

+o8o f bo *ic 6o*n A1- $P , g flOJt (Pl - Fl}alf*(?)

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XeQ E=r x'GK =o G) ffx')-Gft' =o

t eq' (*t

'

ca). t'{qt f . ="} t,tcn,=T,6r

J

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Upz(nP)

(x)

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(=) A".?'Gp + ^lC.gq,

lj;qt) *SB =o

ffir-r=rril;f =b

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e) (Prtn6Lf+ A3.f s-o { 6=6' ** \*/

? fo" orr ort I(5 = lor. o... "., fLocb o;,\ ar)

J

;=F1t4,1

*rre,r*dr

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ts o8*%

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o

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YX:Xr,*u"'ffio '*' (ao * & ^r'jG"P'7)

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o ^ft

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(=) Afri) = Ttc.fll-'F)\sE

--f \

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xrl-Lx,q+{?o

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