Seminariile 4 Si 5 Si Tema Tti

R',.. . *. FS.(.,.- A.^o.i"' ,1. c f**\. , *,--, _af_,r,., 5o iirc'eo- i,Q"*" -s $-\,0.F r .r d, &i-" i.^\ a-r-,-\'") j. ..\ . f^("J,,; -

,{ s s.\u.sio^,s J* .-,--.Jq- o3 di . - t . \ d( . , ' )

c,N. o).';\ a.. f,\-t il &rdio, '.r,T.*tNrt;rJt-t

Se r.rr "" It

QF> r

.t=_ '2.

.O.t ('.1\.

e\t \t, q.'lg

-y(X\ - ,I,:tt -

- CJ\\-\q

- sa1$\ I

\{'dr\l-'1''U,

Tr.","*d1;tto - o -e--tu

-Trte)

', /'/

, * -

'.\ " J Y\

.a:

\.r' ."..\\ ,-x

oJ,( i -,c[

r crr - , ' { r \

*- f.=

' )

f ,*,-+?'1:r \

A

I - aty <Q-r,*"ol _!"{'s--- f '16)

(t)

\

\

= ' ' \ ) :

J <Lr =" ' 1 '4 -:\!

-r.,, sX scr\

: l l r ( q ' 'er ; - - r ( r . ( :c.) :

' - ' i , \- . . . \ ^ , , , .*-! . i !^yr - ,_ i - i " r -k

"c.r ' lA-' 2,

c'Y r ' \ :

I -'.'Ii1"

\--l-*lI r l

"^ i , . \ \n( \ -e) \*l' \'- r f\-*-. *-;i )\ \-* ..f{.

fl

L l\'u..Y;,\o fo,'1 e=> {o ,"-\.-e l*,. f" ,rl

*r(3.-ts,.,l

_\-a t_\* - \*

>C e-Lo r\.f

l_*A

\ \rr)

\^1d(:c\ \+

-<_ I _

\ f ' t - ,o\ 1---t l \ ;

"c=r\ !

"cef\o)

5s

*?!3

-<-e T-L.o\

=\ \ \ \

\\ | l{e [*.) 6\]. li.u

- r - - \ "\{\ l$(q: '

\ \:c)\

(- }\ - \l"o f,*> rs'*t=c)J>' - 1o

( \ \ I (? '

/r - \" trlr"."n\- \,^rkut , c. **n _ tG-

trt\" = tuE -@Eu

A.\ _te(\'\ s

lc- r';i. -Q ( f )

- \ .e l \ '

- $->iir s^- '

'v'\'- $-*\..-p ..Sft\*=Fr,- -

, <z\ ,M*-€N tl" , ' " ) ' ' i - !

i i \ . .1 $\ -

- - - . F , -

'o-JV

sr t 'S * t*!

- .L'e t t

'e

)1 \ -l1>-o

ll

A r i i i . : -^t t ! . \ ) . \

- \t:-o \ r --- --:-< Y)r \ \C

x

9..*> =

) \:\ou.r ir

S) \JrJ t*

*(

Xl- N

.e )zo

/ \' 'e\-

| * .".

", \ -qz .^r )c ,{) ) =.- - z,iz - r"

! \

ie

(.i(")

b,,-o-.r o $ ..J.o. .c\. . ' \*".-i*,3.

Fl {' ftQtn,,dssds &" fuo&.e.

)I

. ' , ' , \ .

! , \ ' l r \ - ! \ \

. .A+.\.:. *\.!., rt A.:

*1 \e ' . i t \ i , . . r ; . -' \

T"h\,) t \ \ ' ' l { . *>"j ,,,--1, o :i i,r:t.r,r i:"i\nj*,.

l i ' . t1 '1 - . r ur^. \ l r { ;1, ,1, ' . 'a,r ( . \ . t \ . l^" \ t )' | *3 - r / I

.1

t ' * ^ \lrv - \ 1r-{)

!'r( (:c\ d]c

*i+*i '-

Nj( ' - l -

e

' \ e.*tii'. fl , <J'{

)r-1<n.r:,< ('

\F

\ \'i:--

e \ lr1t 'o

\

Tr t\\ -' \

\4o) \J

Y:O) (

)\e(99

1:\ /1)'a

:J ' \ ' = \ (-r <(<"\ . t { t . \ . \ t =f

\l^f,*>s,*-qg q- fro),uy =\._* tr |.ir4r.lJr.u |;-*';rA;t_ o*\ _'L

b) * ff**i,rfl*_1"*+:^d;\;€.^ o\ds" =e e-.^.o.$

("

\_(t,\-"\ -;,o,et* -'/:j l

) , " ' . . ,

1 ). a" r.cr +c I \ co,rsrJ{,l+^s

| "

\ /"'f',g

\

* ) ' \ '

f_-ro\ l ' [ '

l - .l*=f i-,cr [-q

\1n-n-,,1

.",".. l:S* '\Al'"'"viH'io'a* \B*x (*, ,1.-*,rz) 3 e' \ tr) I => ,f t

4or- ---* br-

q uo 1e(p t'l \'*\'--*gf,,J\*-f'& Yil-

' y i , a,

-4N/\ r . - l \ , . r j .o ' (

' ' - l .

\ '-q:r " .-ryUf),\ a -_-.- u,

",1 ,-,-p.,e^,\a\5 le

, . t . " . ) \&o" ' \ r ' -L

$\ \.. -s f," \ ,*\ -'" ** i p""o '^,^\ A* t'er---

*.{*.-3- [- e'r.*c'^\',\ '

R f ".r ?.t 1* .."\' "*ss:6*I i\r rel-t

gg\r E C . \2., l-JlQ,

\ . ' *=\6,. a\ G,l-.,- \f*...:\" -1."\n L!r. A. gJa... "S

1'vr lgr \:-" ( f)-irp\rrr:a' \J.' $h', \ \ -

O C\. "5.*eo.

'*'e&e t\*'\\ -_\ -

N-en+..\ \{"?: $dJ 't\{-\]r\

<)

q

(c lB - i_rrJ

( \ , . : ) ) ca e-

\.".\ '.-.r..\*:,

c-, G.te t $e.et *..i-''e<\€ q "qr,..*ucrt-\.-r t'- \.**A. .k

F.:t 6-ro\z

i ,.N rt,,-!*) f"*-\'t: ft t**J" .l* !- -,\. .\",",\q""\..oN Ac qiler€ '-..

1"(f) "

.1tGr. { \eee+ $^u^*rzl \f,V o*-\..'e\ S-e} 5.5"1

\' \F" Va 5-*\ 'l.. F\ '\e *.\o'>do\ c

a! f.J 'oe .'*\*'\ \' \i\ -t'-.-' '=.--\."o&* t ffit '-*tt-*it1*"-** r-' .i $'$"= \l\eq-e*')<jl..

[ * - \

Ys4; \" . ,*- \^ l - t f l \ f

I \-ilj . * - \ - - 1, . tg i"r df =

V.*.=lt r\t:-1"\\\.

r\ \\z 't -_-

.\e

\a\ri

l.*\f) .."tol '\fl = B*^\c

b) t"T+ .'.eE-et "6")rc tr\auA :i ' t lst*\"cfi;

_u-T

\t:\

\ g.^* tz) .i- 9x(f \ \

'1--r{r- \ ' . ' F.* \z\ c- \=o?tr" \

rg, ," \z\-- \"-" g^tyr e\ t \Yz J ' \

tni

3*, : bx1\o) .- X(\, ".r) d\\ t-s;s) :FG, .-) = q-.S-*lfri

<?'L --t r..-r'A\ .A --^ - \X )

(.f -j.,---1.

q<rr- $*\ ':s\-

\c-{!+q\o\x

\ . r ^\ > bEs \So1 to *.,"t--\ ,

NK"*!.rr)

r a. .Z\rC-l)

^artz

^)s

a -:-

\r:=-i'a\ A\ 'JF

'g z'\o' :

\r6sF_3-

.ezto

\ -A. . . r f$* -o 7 Qe-! \ \d\\ sD

a< - >\\s = C \-rs pra

o42 ex-^^ \qto 6o*o

\J

-\

") ^istu-o\ )

L^\f)) f : E^t .=r-v l

-:\$t-x .-- "\y-^\| 5)*\\z )

. \bt-t 1dr"'^ ";.1f61 \ --

r\ I l-1c /\ \--7- - \

2j9:"5E- -lPl'*t^"-nd I

^ \cr

n\- i \\ N\i e

\5-\o\U rs

&)-*va" .\e.*.\b \ea\-'{Sd }. $"* & gtE* x"$\

-> A^\\ ) -:n, F" f*X

i \*\D - ),* \-f) ,v> 4eR\

( t^ \ f \ > ' ' \+ l f " rR

e) e**\z) '. !, L*(g; e \o.+ = JT -_.. .

=\ ' " ^- .

$oY'Ae -- ^

+-.- . t="\J- : -z . f ' t t :./ -1'q I ' n* \- l"o .\

: t€ \ *-'^-q'l*1.6 9 \

- -> E(Nn-xr\-X"

n' \{

l - - - - - - - ' ' \t oroeo - r- \

-/--\

Ls fr0

:r'a

\ /

- - I^e- Y\t t

g*\6) =Cv."\ 6

z \ o,..*t">\B,*" \ o),.'-l \ l2 -

Y,_\

r-(\ ts;

--6"

tf \- \ ,

\id,\ J$.u \-.

cbd

^*\ r \ | \Lg\ € b\ ot tq:1.

A *

x !-.e '.*o"g ':;tou cr'c-(\ ^.--

Rl r\.r)c e€ o\l'",,-\:r'id

- ? .\" oiio oo*tro\e

r 2.\6rc Nck". -.\o1or

\a- a''* \g\*. -o \

e e.\6.1 "*eed'Db\e ^} ? J* \':f*"'"'"x;i\" : \Kv,*--o

bct5 |r --o > Bx' >'- - K*'*=-

1,-.,." ,}'"t= Qco*.lsr^ * .R q-" t asre '^e'orehLor

i-\ <N^'r * \"^\"qe*4"*\"J

-y c-a & o.r-r- - '$ c 'i"&1 \ vr\'rut '-'-\ '*tS 1a r'r-r^c\e .'

; *ec€3\} )a'( '"'"t)'''* t\e o' >\ *-.o^\"'"f "o-'{

S*x \Tec,- \*o

* > uf =\

I s't/-!a I

ae tp*ndsLd cxpoliuu"tr.!' oU"ucd-hjt dt dst*li oti euiu*-io'* $cr\^ c-o,\l

rcJr ptrl - ll4. {>o &S* dl1* .rrN!,'cLK otiolnot^ Xa J,oLqd tu''w uhud€alct- ; '{(Ari)>t,kiou;= - t , x(trs)- r . r t , * . (ut ' ) - -D-{at) Y(a,r ;= *6^l[,rt)=- ̂ tso$, Y (tr- nnu*, ! UL) -- -ar,tt f .

A. loJtu {tem,i.a Fhrd^i.u lor&, /x uh-{-:

fUIoR, .b**ieeAh\f e

lene -rri

o Aa M hYkrti^dc xlrn$1,x (*,-)

.o aa ^r

t . l+\

vrku'lex ar,rd.ia , vckor.rq- - L 7@i)\k,wi)

tuii4

}_ tt,-t,r l(t,nt1

p"Jton'go Mll..cl/y ^f JtnTet U,

F =,?..il')xtlhu)

qi = F-p,/iytt) --

P(^lr)= r(r)b(r)Td6t

=) 1(ts). p{u) = pC,tL2?C\) = l_ p(t) = f

fx}")= f o* f,ct)* fi*wt +

/a,t 1(r),+l9(6) otu /tvuf, {u,udid'o.*h

- t /n( t^ffcu"g = tal,qf + frt-u,g

v!,

\'I

Au): ** t r f i t -c ' . t )+f i- "-!4 - ?"tatg8

= f t '+ tt '*#*.f tffn:;.t= f + fit".r-= h*ttfr i .*t +fftr. ' / t+fruutt= ffn 3A'!

4

g/ABt ,"--v-7-- +

o7

,JI

,='{bl lu+--\uJ-zli^.hl-/tiql-

o'*+-'+qi #' y = -#* uHuu ** E nl$S = J-E-'.* olur* ",,ws,ntrrt

.1 \ 6E _E_

\'= f.. -[-wt - grrrtr.t ' \ '- u'J'* , 41nuz7\ 2 - 2-- l - - -T-T--"

t t ' (

3 Ai,L('i-

CII

5Y /n4/.'d'

3 corf a,.qf3L

G4

o ad .a{ tohu{lx alhqoa$I,-lv dr std-l'^.rt-l td.ru.lr*.1 f ; ,it ir(}t*,- 5 .4 *.= B

- 94'ir.(:7t- - Or"ftc,f 6+

5 L8r( /n q-T- ,

,{ +" *a d4, dla:rdt! & l.Af.Fo'{l. 4-^Ill^ J.!d,u^1.14 & n{atat{'dlst

wu,rt&-tn A,sao. ^aan

retfi'dt Nyo,

t)7

T' X(t.) 1ft;9

Tz

JL-_ ̂3

*'I- t-J ii.

-te"t= *!:)tn't= F aiut= $-4"1,t=-$-^irt= -Ep

.l_p"- t - lF c.ot= o

- t= -F' - t u-t = on(\ut. = L Alr'ff- L\s[ -^1 -an* =-\

r'.nru"{tAa- M ki"

(*-7.

1,^(x; t ) - t (X(1,")4gurl^ (x;t) = dan (r;t),

r i l rx(* ; t r ) ; e J?, , [ ) !6, f f i 7 I. _. frJ(*-D\^(r ; { ) -Jo, 'xe C*;-A)t r+ le, *e[1,-$)

J. -u . xet-G.61(n ' iA ' L5' t )

\ t.h ' **[F; ])(-t , re[i)9

- r- +)

W,^(Z;trl

Io , re l ' ->- , -n\I t , 7; lII^2' \ f r , *e l -5; _r)/ ,

/

I t . t , xel t ; r )

{ #.+, *e f^, )I r er l -T ' . \

!- sl',. z- iri:j iA d & _,) *(r;tJ

F^1(g;0 ='f i= l{

^t

utu(x,;Ld = h J( ( lz/

rt

lt

z

.!J-

tb

_irL

d (+-

o)

I

t le

r teU

+r1(3; t )=l$(*; . "1. .1)v.y(g;t) = da.t,(9i9 '

^{

Jt)q

- r6

u?t3a

346. t

Ti- .t6

.A'16

F^1(5; f r ) =f t l,/

_ r l .

, 3* i--*; *)_ a_/

) J€=t, N

EIry

9; ̂ i

IJ. ,Lz >

t lL

"ri

\a

4to

^ {,y (1;{tw,1(7; t ' )

!€zt,J

\Q;+g o

:

to

o-:- +l9

.{a

qe6

uc

( - o";

f , ,L-rt>

5

l6

- t )

o)

f ,e [o;r)

le [4 ,=1

f

+0

lr

- r , , , S" \frY \a )*i

tzlro

.!_4b

ritr,,,S,t^)= ,($'' 9)n ft1pr41r lE[(e , ,.ht&_gur,ytx;tr)-- $tt2r4+ $lqt + f,{tJg

o r[ ,* co0c'r-&ft f*4. fu a'&c*,l,,t!o, 'tNat aLca .

ox^ (*, ,{e1 = >^ x(*,;w; ) A &.: u,,)?1,,,)

b^n ( )_ x(f ;*'11 X ([;.,)Nrtlt , ] )='lt-

. l i 1 . !z' , t6 / - i i l / l i ' \

\ 5/ \ - { /t-i;Z

I2t l'16 '

\hr.2

,eG-zr

(E),tarS

2,

t6

r i2-%

t ) * F , #*-r- qS= eg= rG'3 t , t "c

I " . II ' , " 7ar

q-TE - ut

,r.- -F1f

c\5( - , r ) ' 9 =\ / tGsr 2.

= ll- * !-\32h8

2 7n, i i \"YYt3'z/

+ f -F) t - ' r r' t z / '

I '96 A,

( - ! 'o '

o+ 1.'f:zJ-

. /G ,p dnue" ,fo{:otrctit-o-fu-o fra.a/ywhn?er"fti ". fl sot prs.lz,"-e at {*.rtui ,U

* q*{tt & st&,uql I trua1t-tr&,uh-T.^ ()€)f , )= T,^(+; t ) { t , , { i , 4x .

/ffi-. Tr, otoAu& dlNu

"frt s1f F,, t^i cn

^r^ilu o& ,v.i",r Sls i,f. co'Nu tM nwnA; ruiu uA

oi6a- 4".&a4n h'"f'

)

t"Yo.Lt4,l,i

(e0

dwi u4- dtre $ot.Attpdto &{#qrdq"e/fll Sol

4! fio4x.^n;An,Il

b. Dtrc,-d-1c

ft^* ajr-tfuatl

)nur, p\rcon o0o{co\r.{,s\ & iu}t\ca\o-ilYb o"tr

B^y [*,, t1) = o

b*., ( t , , t^) = 8^o( o F\- / \J \ - ' '^ / "

Tl 2f '

= \ o. I t [ - i ) , " .2," 16 \ 5/ l t '

z 3S * tG. = /2( t. . e, ,cd- 3A

a. 1" t9. t t l 't l ) \ ^ /

s'1-IA

+o

oJLeQ.-

5Vi

bsui t.,tscl ( cfu^ia.h" pvrrt iuJorxu&,&tt a{a-dt.,$fu a9lAi!-u e$.r{*" 6l** ua^Ir*L4o rttiutu-fun,!n u. nnoruri& cLt6.A"& mr/- UApWujU*n *,;CI"*,'" t4^* Ny 9^o..i*-;;-W; &_.(

flecal Xa ur nuBl,tre{r&. a!btt!,t o,fu^L .?{X1.- * , \ \ . t v, h -- , XwLruSlra '1, . - - ' ! ' f , , ' . .J- -T { x, "x, 1 X,r , , r 4T,q \ .? lYl ' -J, '1 - lwt ldFtr^"oD k[ : T"^ 'T".y

nf>u.r . = r \ >) T^^X(r,y, t^,L)-T,^ (* ;+5, A{(8juwoxX [xr fi t t,,t ) ^ v,^ (x;.t/, w,y (X; tr).

ud,trh-

y*ut,fal,LdhYe!4&t€pn

l

er.{tsao-Ufcdo \ iudtytl'lql" c/r'i J,.r.c'

/\* 4/.U[l.,l]-dt,Vrl.iA.

,{ tr,te,

=-,"x( i , , ut) 1 ( t . ,* , l?cuq

o\toffu.a{a doco -,{lg$".

7i 3t

x (E, -) | (t4 ?(-)

C, 'i ,x d.i,ru.d f$-o^.r"ttktk\ al ,\q.a,{ict'{"$eq k^lcir,el r./.uA9.c"" )(+;u) nu c.tuofo {.q cak kaoil dl, d coud Qu;:ytl.t=!,

/\ (r) = Arf',u trt,,/ CNt (o;t)*{ *ul+}1-^,,-

t .- l- 1: '=)

hp =o€kffdiriAc*." >) "rr fq)=

( i -.,1t-,/

, : ir lf . il l

->o

T

n[a") =l .u)- l t \ l,L(*rr tF J_, 1t t tu) l t

z

1(-, t =, ( r (1,- , ) .Lt=) -1

L

, != + *'* /-i = + (h,! -= * /x" l* A, .4r) - r| \ L 'Z/--

?,hur. [-'.rc 1" = OT-t s.

^ r. -r/^u i = /t'i'cLc T

2

T! ( gpxtoff .=l , --r

au(-+)1./ /

r (,r2 - !l-* ( + ('j. oir^f#) . ,t^^^l+ (.*+ - *(-r.L. T_) i . \ r ,_r l , / - f_r ,^ l -T \ , ' / ,

{^* J i {*5-.-4 j )= oT-)!o l ' \ " t /J- "

\.-

J (t^rx) = o = l^y 4 nmdta. e,fr et1oJ;ca

|.,,{rt

AQ

5*c.1'ettc.\dl"*ert ,

-/t,= " = co1.v6ctqf

\y (+,' +') -' b^G/ 2 6 = 4,-t.uto(o,l*1 -- [ ra*, @t t (t"i-S Fcut) ;,+, ro..^ *,t uwut, , | -r {-*ir-.{r) (- rtfr, t,,t .

+ '

i- f c*+. @*z t ;f a,rtf, zhiud : ! ^(trt)=) by7(*,,*/ = By, (a)

-> ?Xl'tsaw-( ) ez& rse.

?v$!r*l ar&L q $ot, 3o2., .--*d!$n",rl fu

'l.ul's^LLufil4 d!

hrfdf.11 (X; *) =

a .!-

t':la .,

\ t '11,,

\ . ,

,5O u ,l 56

A^'y a-1u<5 fe-t*u(7ut4'a,

1ttffAl\i

, bs(**t-DI e [-r ; o)

\eLo:t)

\e [ r , , " )

..J, tL lI r.l

Tq*rr li

Tie e ",,q. X dl,ftitui{q- gc.tAttc.r..., & .w.&t lL-,; q'

aiaae,tt',t (" (6. 0 / '- I

,"4),::,.f;,-iq:,.!. da k iupearfe #."fl'" "{ru,*.fe^"& trtotntal"(rta&. rx,ltr't I 0

- (I ̂ j t"\zw1tr) = -- ,e 2\ . r '

\rrq'- tT-,?,' -@J),\il,,(I) = ^ . p z'tb I 2-,)

\ f;;--=\1n' ta \F

Wo(r)vrt )

-r\ -+ ,3

lt"-+f y"-.( A-.,trfu-zd f7-K h-<

51

l^ ,)"'qh,4 h,K

15 t+

A*r y-sf

ll/',rut ivlA .luotiaap crht:

ol lA{

Ir Pr

drb) qa

]tr1.

Br) 5dTioA'd

\8.t^(T-r)-T-

k

u*r

o.CI!,aX[ rr,q, lo. iu*qUq

, o@,*fu*att-tr+. do. Y,

fx^rAe*e *Li^.[ SAit d,'.,rruxfu,r.,"iqt .

t

d3I

=8?i l4 = la6j1"r = (uJur, I 163l%.{(r !

CX:

\Qx, r 1,"511: f r : {

I 'P= r

-alretrpf tn)

1t^ +t)

-3"-14-

{r1f2 € l ,Q,

at f t tZ

- f ( t ) t+U)

-4 + (_t)

J - , )

=) li&.r ,u€Lndcr.\

9 ,o,rt calnrQrae wyQ)orolnl,t,'.ho]('o * w,(9. -

ury(x) = lt9 l_=+b

nl ,g n h,r1,tr+L,u*t 6,.-

- t{s',?-gt

iuitll.q-

V= X-tll

, t . .+(Y): +

1

t r (lJ*r-nt turrq) =(# n* I +

^ / l -o ; C1L={.=-r

) V,o. y. ^( #rta- La

alr"d(^& 4uu*i t r"*= +( l ) = l*3 ' Ye'-r'12' , t$ l<t .

La., X>)uSurit-All- ae ua. Z.

V/'l;r

=l\26-

.({+-,.r.

I

e:

J:r.J

Tsur. a

Re s ri,o., X d.i,*J-tui{q-3"** ,& ,v,ud'-U7-e I'lroltl*.t q"= t6 ,

'A)au ack.E&,^

| | | ^ . t -L I

d& f(oboblhtctl v*(*/

4a- Ai liAeArrfe f"d" "{ru*.f.^

- (r -/^)za 2\tL

tx-<tZ

. g L,r6

I { ruxrrlGI\9)

-s ol {-

\&(r) =

\dx(r) -

\trq'I , -G4'

-{n7>L- -i- L

\uu

- l \ -+

ltr-+f )*:L(1,,-z( /7-K

A-rtr lA4

h-d lt Ps

o^a-o.lfi to. lo. iu*to_xra

, ory^L@dlL-M d.o Y,

p!^i8e*{ frn-l ${t{,J^^in ,efun,"iuk

15 l+

1r +a[ /^.

o(

xruut t*.1 duaiaz5p v-\l- :

6!

/r /u*dhrc, h,K

dra) *. .Ot*;*lY-)' (T-r)--F-

B^) 3d /k

?isA{Q ar&tL

t3I

- l- 31,

. /7-Vz- vll

2r ' ' to

i l t = 1^5jgr = (uJ1.v3, lt63r% ={(ul

EX:

5e cetc:

.o.t) 6 ^<*wAu.hx

(*r"ra dw,lr.{ofu &. 1*tL<beYr'tt Ir

| l"fr* u,q. 7, u1(U,' r

!(/'({) = wl(8) |7 Tl,il lt=iie

^lx t\) = tttr , lx) 's2'= t z) b--t{T

-I -<wze) = ft- .-" J: = _l:- "-*tf+ - *rJlr+ -

:,

I