SACf\rY)ANt-ATt"N~N°' L\NJAR Allit6~

CD \JEKtCH~tR.

0

0

CV\ veK.tvv v &r eM u.½\Q'\'iw\N\.~nOV\ o-..v 1/'€.KWfeN\.ro. a, u11 ... , ~, UWI

ht W>-\\.R/f Q,b\- :

v-= A.a, +1\1.Ch ~ ... + 1i,a.t ~~uw.elM>U\(, Oi·\i =(«~o.1, .. ,,a.,)•l"',,'o1, .. .. ~") ~ °'\b,+-<hb1.+ ... + C\vib-,

... \<.I,\.'¾ ~ 'j'',:-YM;,,;) .. .

U·'J ,:_ \\Q\\\\\i'l\ CD':>6-

~0QON~L PR.oot~lON Ve."-.to'fe.ntO. U OCM. \j l\'< ()'(.\-G~OV'O.\c\ OYV\

\u·\J-=O\ e:~ (1'(\{iiCJ'l\lt~ etl\~KnCMQM u' v." ~,~)vvV\ lA ea. € ~\t\. ~~~\'\VCA.) ,e\l\U'i\-

~ u' ,. @e)-e \

, • I

' '

fx. fc,'f Qt\ ~'">lti'YYtvvtG\ l¼V\ ivrocaovtulV\. PVlt\€.th'~ tA LA' a.v Cf:::(i\~1-1)_0~ V'e.K\1NVl "G~(t,-1:tO) I M&.'i>~ \A ~f)t V\lfV\lMu\ V · . ·

e: = ~ v "'~~, (\l-a,3 ') l\Vl\ H"\

... OCL-\ ~\\/\ dcxrt~~Y' ~1rq'M·\Jl,\C\ CT I o€,'A.O\M ~Y1M.tlVn ovCAV\·. (CT' ,: l Cl~ \-e)

\Ji 'MV\ 6:'ftVI ~IMVCJ'o(;lvt+11v1~~ ~~V\ iX htl 'MIM,Vlt\.{A/'A o.,v \J'ttraY'evvt(i\ Ci I OC\/\ Ct II :

"f~ORfRODUK, l,\X.\J = (<A,,c.\1.,0.,) )'{lo1 ,b1 ,b1)

WA/ M\NNf5RWl ':>Y..'V\\I ~ No. ~w~«·, C\ ffll(t, iJ u.vi~t

4l 0.1 C\1 (,\\ 0.1 ~1 ~1 'c1 b1 ~, lo-z ~ 3

<.>~k ~~~ O<M t-a.t-tx-CA.i l\~ °''' Q1 \

_ ~i. h 1 o, bi

UK'v :::. ll\, C\-iO.~J )(t ID, lot V),J) -:: C½'o;-t\1lo1, C\1'<>1-l\-,lo,1 C\1~ - C(ilo,. _________________ __ ,

I ,,

fX . L:~ L~ ~, v ~o"ririvt- u, 0 ~~C\h'\tt"

OY'i e.i.t I-QNtl vlt. CM ,e,,l,\,l-tV'"tL£)e_

@ VtKlCIRER WVV\ Ctt0Mf1~\5KJ't o~'JcK, vfK1aRAoonmN

~ .._ "~ + G.R ~ •R

°'~ ./4 p

fl(. "'n TfttN~1'bffiRf'<lflN

Lid· IV\ va"m.. W1A."ltV<MK.i-Wl ~o. A6. Vi~Q Qt\- , OM ~ t ( OA-t OG) ~'r vav;e ~<Mk.+ 0. . "

01¥\-=0A+A"('(J-:.(.)A+ 1 AG =OA +l (A(i)-t O(°) ):: L l. I

{> =OA+{lOf)-OA) ~ -½_0A+iOCs =i(OA+OG) 0

X = C\C> -t tC\ lj = loo -t ~ b

(1,, Cot~C)

tE ~

• PLAN f>A ~AAAMf--rfRtC~M

)<. -::. u.o + ~o., + tlA-i ~-= bo t S~1 + t~h c e (R

2- " Cc, +- 5(, + t(-z.

(>R00t~10N OQt <ii~fu.UNG\

• LlNJf ()~ ~OAA\ALffi&'Yl

I ~()(-G\c,)\- ~(lj-bc.) =-O I

it PLAN ('f\ NO&Y\ALfdRJV\

\ o.()(.""4c.) ½-lo('j-1~>c.) + C. (t-<.o ") ~ 0 \

0

s '3NEO pf(GofK,((!)N (UN'Jf Z())

- . · L' ~ p-

~ O~<iRA"M eK\fQ.r\~- t u~ t ¥\1\.0'M () w.i2.U · V1Kt~i~ u rci va.'©.VWJ-€,{~- ttitt(/< ~\Cn.'Wl,l ~ ~V\ l I o(A L .

L

B OKf()Qyf\JAL PROotKllON (LINJt .2.t>)

, , L' ~~ -QF..Wn<1'.WJ\ -\o" L' ~ ~ l/ll,'1cl i~V\.0 O'fro~fl\l¼,I V½..cA L. ~Ir F\'l\\l~d. 'I\CN\MCU\J'{?,~W'(V\ 50M y')\l'Jy\Ava~ttff-

~ ; (.)e~ i\:u'<"Vv\Wo'~V\ilK\e'A Q. ~ ·11Ac:A\\'f\;,~ i e,K\ftlKEMQM ~ '<

~,-~ Li~"<JA L. t L

I

0

0

0

0

G

8 OR.10lWNf\L ()P-.ooEK1LOl\l (etAN) ' ()t vi {)~ p ro Q<M"\,Q'Yl V\ Vl\l ~'(l,itt<?.'n:,\ OCM a o."'r yi'KIY}ii,t_~

'>'-' ·rrw.L~rr vi ll"f ~ tKVltriCM rci f0.V1.¼1L~~ ifv L£vt1ev1. L1

~ ~c,..'< ~ vtD½\ p ~d vt'K,IY1{vf8 U . r1 Pri\~1<.h'OWA,t ~) ')0\,\1. '> l::ttl'Vl,tvt.J')~lMl:::J ~1-1 L1

OC¼ TI . / /rr •Q. I

I

I.! '.

{ . ' ' ' \

L

"''

Vli:l\ev ~ ~u.li\Kt R. ~l\ L 60¼ '>l::~~v ~twV"\ PR. No'<Vr\llJf"CXY veKtuY V\ Ci QC\ li11(-evt L uCM ~Y ~KnTYV'l u 1

Oovt kWA c(/4 pllJ\l tero. R,(> ~4 e ·. ' I

Ci' ,. m :: (@·e.)€ '

~ ... .. . 'i ·c

KC(rrd.t t,-tCt,\-eY\lt.G,\ ~ 0... 'oli;f :

fu ~ 6R " R.G.

• · · 0..'-1.d ~ ft. d!,"v\~ 1

A RE-I\. OW IJOL'<M

A«nV\ '>AA ve~ u,0 l ~1, ~Vl\Yl'V\M lf()'(,'

¥'> ~\I ll 0 ~\I\\·

':iCMi ~KmY'elM.<A (X::(c.tlC\1.) OC¼ \J'-= {10,JJ 2) 1f~Yl \.te'f lir('

'}tS 0... \I \ O., ~t - U-i ~, \. ' ~i.

Vol.~'M.QiV) \lM1 V'e\(J~revt.¼ 4 ,\J,t.o 1 ~ 1 ivo."'1\\1\.W lA~f

~:i cw \(C\x.\j)-wl

(A.AUS':>ellMlNPt"HON \ ~ ">1-eAMJ.th'i,1<-.-r WIM:ilr-e\'t,\ cJQ a~¼.~ , v-\ ~l(Va\\'Cv\ .

) l.j "> k\,\,\. ".>OIM. '> \J a. Vt\ y v\'\.C r a u V\ l e 'f : ' -

~A1~ 3.R

-

, ' , ' .

(I) X 'o// / e1,1. ':>m"fvlilA8'f IIA~O\ 0&1:d u~t

~tl . llvt\a"<t e.Kva.h'clA~)tj"lTtlNt VIO.Y . ~l eu.tita-!'% ~~v- aa\lclt'.~t ~q t<nY\.!'A..~Cl:'Y. (Cl) \lAJH t~~o(

. oVE-~r.if')'('\'(V\'"Q A ')~ c;;1~ = IA.cr1 !l>QiY 'lK\JClt\'WQK d"Y\ C~\CZlt-t\"r,\

('&o'rvd\\tn.rr OS':> Qtt ti\'{\{~ ~llK\Jl.Cl~')

Ot\\ 0 ~ ~f \'ti'\ fn'OI\ 'N Yt f.M ., ~O.Y 1l~v o'ctlcWAt"t\ O.Yl tk.VfA.nWQ,y

(~OC'\WIY GS~ OOlML{~\-~~ l~i~liY)

H~OCtW~ KVA.OMll<s~ ~~W'M

l lt) 1l~ 2.'j t i ~ \ (S) {&>-~ ~-~ -+ ~-=-\ l 7 0 -~~ --\ -l :(~-'H·;: -\ -

- \~ o =\

e\\11jlll0 l VJY\t v..~

U:W05A1~ :i-\ ftt IA.ow.~+ LllA\• ~"-V4h@s c-,~5\-w.<. k~v UV\\"'\ 'Jt '1€-1/\ tlA tjcu1

~ ~lLQ/Y oa\0-lt~ \- vW-t~ ldm,1~Q'Y.

owl\d,\:1 ~ l- \IW\ ~C\ \.Jl;Yv1~'f

@) fvlA1R_\.~~ OtF. &t Ma.hi ') dY ~ -re.Ktili~U.\41t ')CJ..tewtll o..v m.\ .

Muci:rru ~ 1lo l\l Av Mf\l:~t~~

Ow, f\ ~ C\'v °of ~ OCM.. (, o,V °c,f _1f!! • '>0:. lo"'v f(7JG(,vlk.l-€M

o..v ~if _f.x:f..:.

('1.1) (A+C1:>)c_" Act C:>C (lt.\ 1 A(_Q, -\C) = A~~ f\(

lit.'\) o<( f\()) -=- A(rx5 J ('HD) UV.))(-: /\(&.)

0~ ~: A '6 i r;?l\ , cl-~ 't-\ ~OiMIMMmtiv~ ~

""1AAI\S S ~ON A,

"1~\l"ff v\J\.Cd-e.,t A' ~v r,.. ~ ~ "'f\.W\M ~ VJ~lr-t (}Uith fG\ "7.l~ OCM \<olo\l\~.

EX. f\ =(~I ) =~ A'=G ?1)

-~ MctM'>e.N\ A q"t 'l'a\11,\WU..l\r\.\l..__ C/\M A.,;-=A(o.." hj~ ~xvi)

()(Vl <; f\V (l.\.\f>) .

Pc1 QlC\.h. (i,~) i (ACS)1 - qlllt"<;.(t~) 1 A q\"ll.'<" :

(A ru.cl 1) · (I:> KCJlWlvt i)

~C\ ~ta~ li ,j) ; P.i'N ~\iN" :

( Q,1 ntL\. " ')· ( A.1 ~-vt j) = ( 6 \cetCM V\ 'i) · ( t\ rlld j )

('1.lS) (A,; ),; -=- A ('1.'& ) (A+&Y= A-r +Ci'

( '1-11) (ex.A ) 1 ~ o< A T

('i. l't.) (AC>Y :c 0' A"{"

'v\:lllu+( fYOCMA·~l«,\ 16\tV \cu1tl\l\/V\Utu.l·\V I rci Li"-IAQ.t ~)le,y ~ ct.U.o\ Qo<l\t\OV\,eV,

OOv\ QllRa ~'"\.L-et<:

(f\f!> )' -=- ~' (\ i

lf\J \!tR 5 (V\f\ 7: R. \ ':> \'f'\\1'€.~ _ (vi.Cl~ ) 1.0-e.~&\~Vl.ct":> t1.tl1''ot :

Ax "'8 ( =) x-:.A"'ff Mcttvi)-€M. A. a< \11\v-e.>ite.\/'00,y- ~ cw- l'vi\11 <, evl ll\,tl.\.~' !:> ff1 '>·dcu.¾1 aH . . .

l AA-I -= -A-1A"" I \

~A1S l.\.) OV'v\ A CA'< , v\l/V/4,'(\'.)GlY o.'I I V\1/'€,~ -eiv,J'tjcA.10 .

I:> (Vt ) ·. % tu.3 clJ:t 1/vU.l \')\ "',€, Y\11!,\ f!) 0 (M C l\'\f ( VI "V'€lf 5,e'{' ri\-l A ( ol V ':>

IH\ ~ Csf\ ~ l er~ AC.-: CA -=- i.

'> Q e..u"eltl t ~0.1. lUv G,Ltt d.J.i. o. H ...

~ = 0>1- .._ ~(AC') -= (P:>A) C-= 1.C=· C,

n (feY- c.<.t\- 0.)-=-(_ vi\W '-"'~'< t-1.A.ho~~ \;\(,\ (V\~ . o

0

0

C

C

C

C

l'1:rn C,r1 )

1 " A

(~.U) (AT}I -=-(_p.,-1)' (l\.1'1) l A. ~r -= r;' A-1

l"\ECtm.. - oc.tt \JKN 51~\t\l~ '"> • \J &; v~ '{tt vtv\V~N'> t'i\ \ I\ C1W1 V f\ -=- 'I • \-\ ~ ~ (\W/('-, h'li\ A °""" A\-\ ~ l

HJi\L~5A.1S (\\) A V\.lll'f vo.'i'\\\tviHV€X') <:=-) Ax~g -t,U.~lt'tl lc't.WI\~ ~ v-av{t a f'ii-:.8 lo'M~ t ~~ ~ ("') A l..\.!A.V W'tyC,V\V\\J'f;VJ

~\) ·. \

• A V().'Vl\\tViV\V'e'(t., \J ·.

Ax=-5 =-., \JI\~ =\Jq =-, x ... \Jf , l)\\CQ,t 1o\iy dQJ,t ~bcJUtt°'- ~ '\I\PflA • • ~X-=-~ \i'rM~ ~ \J'ON\"€. j ·.

~W4\ ~ lr'6'M~ c~) )C\ Q,l\ A ~ ~ 'r c 6) C.Cli (~) H\ D.k\, Al~),. l~ ) · 0 d f \le'< e,le,t- cttl-- · · ·

A(~~) =l~ ~) _ .. c,o. vi WA v 1t:C1'('~1 ~vrl-\ 1teV"reN\ H " (t ~ ) · o

oR--WCWNA;L M.1\1 RlS &\_ ~~ lftk..twe'<" '){.\f> VO.'m. t \l\ (J'(tr;IJl(,VWLQV-ctu. 1M£1~e,J_ <J.M ~ C{Y :

• 'Q'M) O'fWf'Wtlv\ ( ',l(Q({,\"r\''1UU(lc.t =- 0) • VI. (1'Mil0,V'C<.l,lt ( l~'v\ 'all :. \ )

\<Va..Qlfl.ln~ "'{Lllv'\", cf'f ~\ (MJ\, ~S) kciJMV\.tV vri lcl.a.,.- evt (M'(M[;ll~Vo...cl ~ -

<:il't;"1') 'i .=t rGY Wt i::.vad~ n '>\<. WLtrvi's itf\t-ev ct£t- ettt-:

A c/\'W~\ (-:o / A lV\\f€.'(\e;'<v.>O. y W\Q!,\ A I -;o A-\

<1-V)()'fri.tkwi "or~ Ma/YI '5 " t' rr-aUtl.,,

'?,fV l ~: v, h'ttll~ ~ci \M£-lM "itNl A : ( { A ~ A")\ C,\\J Pj r 3 ~~ . ~~cd~'('1))7) d,(A_ tlw1 AT A 4ll{ '( d!A -. . \ I I J

~ A- .. · A1 ... ) ~ I ~'I. ~· AtA1 A11\.1 A-J't1 , -(· .. t\11 .-·\ (: ;_ \ ~=(Al\1 A,Ai AiA~J

·· · · A'l ... · : : ~ A1A I A1A1 A.1 /'t,

OtlTh\ ii.'1 u'aA _WD.Ll -eM.w,t')MC-t!'vi -s-evi v-rel,\\ ~ : Cl.10.i =- \ ~ i = \11.l:> <AvV\ C\.; U; =- 0 ol.o. 1 =tj

·•. c:A.V"> QY'C.t-\"'.) d.~ CA.\ °'-"l Cl) ¼i\.clCA:'f -t-1/\ OYltN\.OW,\arnc.( vvt.fA"N6cl · 0-tr ~ci\~V' al·l~ 0 ut\ /\' A= I. Cf'('/\ o 0"'-~~r vW A ~ cr<~Ct l .

M\N '5'm ~\JJ\0 ~ 11Y\E'100~

\ A~ft. ~ -: A-r~ \

G) C~N""CR(-\U\ 6tGlRcf P l\t'f3f\'l., ~W..OE-Ntif (ont.RO~E-"~ u. .. ~ 1.., •.. ,lfq ~"f llV\\a'<t" loeWl€.).Ac.(Q_ tNV\ ~~Vl aN d.QM.\ c,.'c' e,vi

~V\,\~l\AOlh'OV\ l\\J ~ o'ffii" . .

01M ~ t{ ~"' \<.o\¼~IAR N CM, f v\1\1\. ') Q\(' dJl. I f v'i,6\i t o ~ 't1teJw;{Q_ •

AN~~~I\HN~ ·.

· ,vci \l'e.~ u., v UV\\ M-~~ <::. ::i Vt\::.~ ()Q.'nl.t.WlC,\ (Ci -=-~'1 ell.OJ( G :: 'i\Q)

· ,~ \J'€.~ a.," ,w tt""-i(l(t oioe~ <=;, v~"-ww.vv1.c" L\CftoY a.U!A. 1 re e~\') ll/lfiA, /

(ow +.ex. w= ~,a +.1-zV sri Ur,t,Y- w i fU1V'tr

~ a o-C,t,t u ,,e{HN,r ~flP · o::ivtf',A,f' h/.1'('1,f bwl w "'l1'fl'> uff erv ll o-c,h v)

'.l /\1'":> s.:;2..

V <. Kture.v IJIO. u I u.1 . . . Ll" l.i ~\cwt io-e vve,~ (Mil ·.

~f\15 5 .) VtKlm'e.,wtµ ul Lt1. . . . u'<' UV\i{o.Yr u~'(o-«toe. CJvV1 :

?.,Ll1t?.tlli_ t ... +?ip~ -=-o

·ei.~v \l\a~ lc%'w: ~ IA-led.~ ~o. 'lltul + ?.1Ct1. t ... t ?.'() uf -=-o 0

evtclcl'lt ·\Af.\v Mvia\ lo'6¼{\'1.j /\t""?i1-:: ... =~'11 =- 0 .

6AS \J~V''A.{,\ C\l l-l1,_ · .. Q\' l,\.~C:Y' W. W') ~ ~vi CN\,\ W'V)'€. Q € (f.11

~~~CL") :

- - - - . I \J~X\U,tY1.U,t ... •x,u" <.1--MQd eAitf'allit ~,~ ~,X1. .. , X-, .

\Je,~o., Q\ Ut ... U •p -:i r C\Vlvte:·r U~i) ~~ <J'M vtlV)~ QC~"'

\<Lt~ <,'R!vNCl ~ :

\i • X\4t + X1. Uri ~ ... + Xv,Ut

\} t~\IW.\ al u 1. .. ~ ti. e \,\_ ~'r e,l,,\ 'oQ. ") ~ ~"' {Ml\ o{~ la;\~ ~Yl \WY U:fX'

\~ \.\ (H(A ct"f l{ "1 (.\ Tr-~ ·

'DO.':> c:..~) Liv.\, Cf'a.Q.'<v-e'Allt <:-=-) $1)C\Y\ V\.€X' U.~'()

AAI\JO.. OU\ NOU..C\f'tlF-NSlON

• KOLU¼ V\Vl;\,V\,\,V\-\t.+ -: ~/.\Vt~ r,w a.L¼. u'L,1.,\ · lcMtlo . Ovv \(()lvWY\ . .C!,\JW:l , -t¾ \M.l,\,t\-1 l A

• R~ = m\l~A., fv\CAICi\Mlcd.~ ~\Am.ref- l.M\ -0\&e'fW'\10{{ tWNVv\,e'( i A, dV5 o."mlet

~ I \ta \ff.l \'\Cl'<> l-e, V- ·

• l'\OllvtAV\.\VlAti = 'M.G\'l\..~CUM ON uUJ.\ ltr>M'woM' ("\\\ A x~o.

• 00 llcWML\I\. "{iW\ = qie,\W.1'¼\ A I ML\ Ki vW.tllA l\,½htltt \I~\ • 01.&-e:we"1C(Q. lo'i'/\ 1 tA~:JC-< y h\ I

A-x~D .

l nms f\ t VI.O'l.lcA.llM A ~ '()~

I "\ ~ u"'\11.1 vivCl\JO.VIG\lolerr G\\\titl tAo. '1.1/\hl.l k.cilllw,1-e-'<"

\Jet'I\O.lol-t'I-

C

C

LlN "Jf\Ri\ ~U fV\ ::. e\l\ ~ct. L tv\O.cl a.clCUh'lM oCv\ tMM.lti~li~t\'01t1 \tw ltf'1-W,~ ~

lAE L \I(; I,.. :) {A+~ EL 0(,,\,1 ~~~,IA€- L =., ?dl f L

UNOfR~l}IV\ :: QI,\ cltl ~~cA (V\ CA. \J t ti ll V\ ( c.\Yt vu W1 L I 'llU{-tvt uw,(Q.. I( Q.tllU\\ CM.. ucAI\

~U.ln~\il<CtHOV\ Vvecl ~l ·.

Uf~LVE:(V\ -:.") Ut~ ~ M ~W\ ?.f(tU~NI -=-) "A·Uf M

f)( . lcH M \fOtYTA ~\A.. (},\J lLUR ~VVI\IWAv'\'il:Cl 1ML,ttvl)-0V a.v ~f Vix() ( av-s 'iO.clLVALL l\lt A=-A -r . MW\ ut'KY\Q,lQ.1f'M!,\ ¥1' IYUvtS~o'M.1-e.t fY \J\. -~ N~

S'(jMt ~.Q.JVf"b ~ IMCl M "rt 'Y . . •

(f\+PJ)'-= A1 +{)'-::. f\t~ (CXf\)1 ~o<.A'..,. CJ...A

M"-N\~VW,\ A+f) O(M rx.A ~"< ~ OC!<St\ '>'oW\w-e,l'v\i\:L\ l ~G\ M. OI"<

'>UAl-fM u,~ (:(J{wh'CM o tvt LMM,lt\ f H ~ h'cM ~ ta\ :::. LI Vl~YYU,wt I_

® DF,c\\(Y\\NAN,t R 2x2-mo..""':> ·.

A - \ o.\, 0.11 \ JQ..\- • Qu O..tt = ~1, O.n - 0.11~t1

'b )(.. ~ -V'YIQ, <\-(\ i :

0\11 0.11 C\1~

clt+ f\ = U1.1 O.u 0.1.1

C\l\ 0.11. qll

fGY ~ 2.x.1.. OCM 3 ,c) -WOl,l-Y\~ A ~ 1.Ler ~ a..tl Je'i":l v::.alOVtttev- CAY l(V\,(o.'<t o'o-e-Yv€,II\C'f

~ ctU A -=to.

E~t:N<s-\G\rER 'foY'" eV\ E)..../2_ o-<M. 1>~-~l'ri') <f'\Jl,Y c>tt en\ :

• ~lv¼vt!-eM U½\6'< i v~~ \ctl(MVl

· aw. ~ k!il~'½.tv u~ «-< cltt A -= D

• Ot\.€'Mili11\o:viJeM. cw e\A.~l'w'vtcttvi<rt\.\ ~ 1 .

U · Ow. IVCA bit.cA,t'vU;Y ~\tr ~vi \(). o.""-ci~Y ~\-u'~'vtlll-¼"1.l-t\l\ {e(~V\.

• {)t\.e.'M'U'\,\!.\'\/\.~ Mclw t\l\~ CM\ \l\,~11\ \\'\l -t\.l\ \colv¼vt ~ ¼ IMM.lh'l'IJ.\ 0.. \J V1\ C,W\ VU,(lt\ (_() llN\ V\ . ,. "

C.Rr\ ('(\ ~-.':> t¼ fl ~ -eM ~>l3-\/\ltl\M"> IAAtcA c~Jf\-:tO VlC\'< AX"' j X - (X'1i 'itJ ){')/ diAY ...

)(\ = cW (9 O:i 0:,) (l~t F\

X1: ~t l0:1 lj o:,) clt.t Pi

l J.t+ P\-1.,, _\ \ d~A

x._, ~ ~t r0:1 6i 3) ~\- A,

. · . VI 'br D, i 'jeYI""'- <til lt.iJ "'-, 1/:\Cl i , ~lwi VI j ~ aM f4 UV\UQ~VV\i v\.(.1.1;\te,Vl ·.

I fl' :, -' . ~cti A I I Mt-A

(

0

0

0

0

0101\-"\A

ti\ o.wn \C.lv\,( ~ f 'iO:~~ ~m QM

n) ~ "F(u +\i) = r(u) + F(\i)

un lf l~G) ,,_ i(:(.a) altem~livt

'.€X. Notl\/'tt.ur<V1:

f(D)= FlO·Cl) = O·F(_C\) = 0 ... f(OY''-0

f\\Jf.,\LON\NQ~N\AiR\~

"~LU'v\V\.Q,\(\,\C\, i (A\f\{J\\.ct,V\.,(~~M~ ~'{ ID'il~Y'V\()\ o..V 1-:)Cl.~\rtl<JOY'eV"V\a. I(

(0) <D>

OW\ CA.\/V(l'\D.~ f- 7J:v U\/\,\C\"'< ~\.\ ~-e\t\. ~ca.6 po. Ma.rrl\ ~ f(~ ~A~ -

OE\J\.) : ~ ~ ~-C\:f u":\~ oCM.. ctt\ \1'€,k..tt,"'{Vl (x, l-i. --· x<'J o.\Jlo"\'lcla")

_.Pt>. l½, ~1... - ~) . Oo. '(¥''\lQJY ~ ''V\d.tt . . .

(9,,~- · · ~,) = f(t, X:z · ·· Xf) '° ;, F(~) ~X1. F(e:1) + ... -t X'ff(~'l'I)

RO"CA1lON

..• c/.JJ."y ~,~t., ·- e cA'f ~'\"il,~roi.oase,vi.. ~ IB.""'. {)ritc,tvM.Q. ~ '«t wtt tvrevYLO\ ~"< \ccte,,i1;~ i etWi tct.0 ~f{l,1...<tM 'l5'W-. • • •

Rei)= (o." O.u .. • °'V\1)

t={~), (qn O.u .. · Cl"'-z) '

v i\~ 'Ca,v\. ~"f'riva <; :

(".),~ (°'" t{,1. · - C,h'M~(X'\ i' . ":" ~,, . .. ~t . ~, I '0vi O.V\, Uvn · .. (,\~,..... X""

1.-y-) t----,----~ g A x

f\ = { cs,~ e- -'i.iV\& \ \~V\& C.05&-)

p

@ t Gt t\l 'S\q\ f> €R 1-10'5 Ll M "il I\ M AV C,U.,I) N l N WI fl-,

VMQ"t(v\~~D

VF ~ f v t ~ ; v = f(u) lfft ~ u e IR t [ m, A = dim VF I /

~ A!VIMI\N ':>A. TfJ\llN O. ~f\1~ '6.1

DeV\ ~VVIWllt•vt5Cttto. l\.VVJ\'lclvvi"VL~ GoF M Uv1(M ~ avb -Vi{.ctM'r€.,V\ BA •

BfVl':) : F fj.'> a.v f(x} ~Ax. C... "f!~ O.\J Get) " ()x .

(4°f=-)(l ) = ~(F(x:)) = ~(I\X)-: ()(f\)2) = (BA)x

lN\JfR') f\\/~\LONINOi

II \ Y\ l Q,Kfl V

u, =t U.i -, F(U1) ::t- F(U1) ·

u,-= u.i __ ., F(u~-=- H.U~

~(u ) .. o --) a -=-o

II <;'UY" i e.Kh' V

F '>L\Y1-e.1<.Hv <-=-> A· . ..., lcu°"'ww ~~WJY" l-\'fi' (Rvi

s G\\~"-riv F ~\~~v <:-:> A:.-, k.cl!M.\/\QiY ~ i& tllJ

(lo<\e.'-hv -= iYl\~l'&lv + ~··v\~Ktiv)

~ ~ ~

S' f\M rll.A~TTN lNQ. FtJv -eM.. 11\i)(V\ -"-A({..t\'Y\':> Pr_ o."'< fl{a.'Vl[;lQ_ ~KIAVQl-e\A~ :

I- KrJl.CNW\~VWA i ~ U.~ -etA~ ic'r ~"1-

2.. K.v~ i A rt'< !J.vtid'11-o11.>-e.vve~

3. ~~ i f\ 21r!'1wtr (ff~ (RV\

Lt. ~ i A u.~ eM ~ ~ (R111

'i". R.clWW>\ i f\ &< l-1'.IA l cM-o~Yr/e\/lc;(Q_ .

r, I SOW! '€tYi s "K o.v~i 1.cwvivt-3

II RuH1 , II a I\

F l~k. <;:=·' fOY~\

rt ~~'Nlvnervi~\, c.tVlot~~i~

F(tl)·v-= U · F(v)

f s~'IWMQ.h1s~ <.-""> A s~~Y'telv,s1<-;,

~ J

b. ~ \ A jVl\V\'Y\QJY Y.'(''(> R_VI • - •

+. E~riOV\'.'>S'c'l~~ Ax= 9 l-\CA'f ft¾~~ l~V\\lA~ ~ vo.vt~ 1/\~l-e.vl \1

'6. t(.\/~\'\~')\j~ Ax-=- g WA-r ~c.U~ lo'6'MY'0 ~ "'~¥~ ¼£¥,vte..c.t ~ .

ci. t~n'c,\A~~\'l-<AMt-t- Ax-=-5 ~"'" \CW\-{\,\~ ~ IJ(tvte, ~ ~ .

IO. fv\c.tM~ A <i'i lvwe,(\.tY\,~w .

l\. <¼"'{) (\ = Vl

11 . ~+A-to

I';. /Wl.<nlCMMU~ ~ i\.v\o\tcl,t,.\,~'Mlo.tv\ ~ A 14. -,, _

IS. - 11 -

~ \V\~\J .

~ MY\ ~,i~hv . o,"v ¼\\~KHv.

0

0

L\.t\l~I\W\ f\~\lONlN"MR. OW ~~lNI\N t~ .. ..

lcH· f \JQ:'ra_ tN\ u~,C\\ C\Vlollclv'lilltt) 'AAQ_{,l_ ClV~. vWANl'~ A. Oci. '60.'\Le'( vle.t ~tt llJ'el{vt/ \JO~~lll (),\i\.&l YW~ MW -e.Vl ~Ktu'Y ~ ctet A \ V\~'t \I\ h\l!(vt..t10f( F ~~ ell ~crm~ ml\lvt ( QQ·mUtlletii(J-ecl . 0 VY\ clQ. t A 7 o V>t ~'al~ (]\(\£.\I\ 1-e vi vt~t,Vl , ~ cw. Vl cleJ A <..a <A 'v\Gl r<it '=> o rtf .. MJevi ti\.¥ ll\ .

~ cr<~ao~tc.,. 'MClNh~t ~~'( ~t a:tt I~ A ,:: ! \ \ Ccl/l~ ·. dt* ff' c c{Q.t Ar ~ ... ;,

d.~A -: cl~:\ A <:•)

( 1 (dtt f\ /~ \ < .. , ci,t~ F\ : ~ \

C11 ~ ~~ OCtt KO0f-{)\~f\\~'{1t

c,·

· x•(i.1n

EX. a-.~(h9-) OCM U:1-=(_--~\) <A"f IJX.O~Y ~vi(C(,tU11 FoY X. tti~) ~lex . ..

(L\,')) • t9..(l1~)-\(-a\l) v_r--- ~ v-r--

X U, \A"\ A . . . , ex x ~ \f c4. vt ~"'- \((JO'{"e,li, v\.C\. ~nw. X = (a..,-1) ; ~ ~ Ui ,!k .

~l\<_:i()\{1t

l €~~T~ =~ >< =<sx I •. d.Q.'< S ~ \:.o<lrcu~tlnu½-e.'M\.U.tvi\e¥1 oo\A x 1c·eJec-k~v KOcr«U~~

4V1. ~ IM"'l'VA E ooV\ Q- ~(f"(Ww.t~ , cto,111 111'6<.L IO'l.~ £ ·

OR10NOP-!VlfJ~"'C 51\')~~1{

\ t=~'E =., x=5x =-:> x=cs-\x=~'"Tx l . . . AU¾ K4t1 QV't/Vt dit' rJJ ltflll,

1Wmii'ttfd.tn-w.. tM ha r.ktdtf'r (Jrrdt,t,tf :

I X ~Xe I ~O'/l;,~ ~ O..C\\l€.V ~ urtc,'V\O'Y~'(a.t,l loo.,<, .

KG0(\.0tNA.1~'{'1t t(fR LINoA~ A\116\LOMNM~

\ A= ~'A~ \

D< . ~ "'1il£lll>i"[:) ~m<tMwv> '°""' ~1//J.wn w- ~MJli "'B i IT ' x-~ • i' ' o 4' . fl ' 5 (it -{ ) . • IV\~ evi. Vl'6 cmnYW-c1,wnnd. lats ~6. at!- €1, e-i lo\\'( Vlt'(l(.tlQUol ~cl QlC1W.t IT aOV1

" . e'?> \Jll,\~"frAT ~ ~U\v-e.t- .

()¥'( tu-V\ flOTM.(;{\.'1'€,K.IWY} (11 -td) OC{,\ Vl.OY~nw ~'f Clbt if't ·. ,, I Q1, = u (ldd;

" . Vl>.V\'€ \/fJJ.J i\V veKtYY vamtLW tMQct vw~ ''( ve~ mtrl<t}OV\C1.l 'MC+ € 31 Slt \C4M 1.ex.. ~ e, "~\°' :

t = iC"'lo ') <i- 011.,~~ e,•l-:.o " " .... i.-t 11'i~ ~<:>\/'€..t.W'<Y\ e1. ~ ,1 VC\'rol ~OVI.W 1MU e, l}-lv\_ e1 !iO:. tzty v-e1,~,nrmctM" :

" " " I ei-= e, x e~-: fb (-hh9...)

• \J, ~'( :

€-: A (l,\iO)

€1. ~ ~ (-ld1\l..)

e3-= G cIc1i1)

<l- QC,'$~ 0 rtvvl.OYI/IIU,Y"Zl t- l«:l..')b~~ i\,\,tl.Lbt\'Y- ttt+ :

A-I .... A 'T ·' C,

C

' I @ tCl'fN\f'AR()EN act\ €4fNVfKtO'RfK s- Till l\lf(HLONlNO,

V-<!.Kt'OYVI (A -.+O ('~\/'€,l(l?r{ ti'\l FI OCM t-tl.lt-t ?.E rR ,(!_¥V\\fQ~ {\°ll r= CJ'M. ole,t-~y:

fl!A) ~ AU

• il Ll. Mf\-"1Rl ~ Vt~\lY'Vl ~ -=t O ~~1/'€-K\-N h\l f.\ 1 oc.v1 ttlltt ?, f ~ ~C\~ h11 A ~ c4,t- °fl)..V(:

Ai, ~x

F(u\: U lf:~

E4.fNI//\R.OE;

~u

~ft,IV~()e: 1

~X F(u)-=---~

f4tNV~t)f: 1

O 4- tW.c"ill!la.s fli H1.t-NVAAOS :

-1

~KN\Na. ~" t=OS\JVAmB\l I c~t~VE~O~J" ~ \ ~ (1~~ Nl A <.-:., c.leJ('>11-A) =-0 J

rllJ1( ~tltYVl

tX. tllft\l\fKtctN

dtt(?iL-A) :: ~~t ;~j_ ~\ : (?i-&\" +It\ -(7'-J)-(/1-0-.)-Qi-o'l.) = [ .. ] " ?-.(?i-0'{ :: 0 I -1 i-R

('l. l -1)~ __ d.J{ A• I 'l.. I

-\ I 1.

0

® D\I\Ci.O NI\ L\ StR\NQ O\f\QON I\ l MPn~ l ~

\ D =A: 5-'A 'S j ~ - OIM V' iw~~ ~M. -"'~· toc.6 (A\J ~vwett-T-e,'i'" I <?.X.. e\ " (-~\) (Jo,\ ~'t: (h8..) f ( 1/1. KOO'f()..(WA;l-"3 ~~ ~M 'l-W\ :

~:t~ ~) f'Vtul'n~ A., le\;\'( i VD.Y 11\.~G\. \oo.') :

~ ~ ~ -\ P./) : t .. 1 = ( ~ ~ J · · · V\ f'< u.U.~ €¼ cll'.Gl~OV\!.A,\IMlq,\Y\~ JA~ cli.o...i<MRl tleVv1W.,~ ~ ~~V\\ft\.Y'OltAA ·

Sfn ~ \\ .\

o'M f ~ ~~~i!d.,vvtvt.'1"' ~ f"l0Y F(t)= '5€ 0~ fC&)"" -Sei · \ ~\,1 ~ L:1ct~~ ~\1.L(l-€,v l\"f e, "(ltCi) OCM. ei•'(Od) ~ €1= \·e, -\ O·€i . No.'1' vi ra)_v1crr i VL'cft laa'te\11 ~1\£,v aM.Ni . . .

C\10) ...-; <;(ILO)

(o\ \) ~ .. 5 (01\)

. .. o CM. clOA ko lf.M vt(.) V\llC\ i ' .C\ \I \,Ji UWU ~ <fAf£t hi $-eV' ~ l6i (l{tVWt Cl. V loly)\fe K~q ~r v1 i ~o. ~'&fM aNI0-1ML<.tri'!,€,VJ i ~ct ko-cnd,i l-\.cd-e"r:

A=(~ 0 \=o 0 -'5 J

·tV\ KVOi.LVOth' <;, \, ~ IY1 ":) f\ 6:f cLi:ct~uWA.Li~~v (fV,,A oGvt Q;l/lllll\ t- CM1 ~ ;yh,,et11 \.\.l\1Y eA-1 w;t':I o..v ~vtve,lc,~v-eN· . KclVvl~wt.vt ; lM..(,trti c;-e,1A s o.Y ~~Wld?re« l'y\ I A O(M cUCU~f)(:\ -e,~VA.e,,\.,tJeM i w.aM ~ O o,Y WlLh'Vt,<vi-l~ ~\/\Wlvz;,{e,vl ·

FfY eNl. 'Vl ·XV'.l.-wram· ') 'ACN.l-er .. .

• O'M A IAwv \,\ ouKLA ~'-"'~ ~ A cU~~&-t'f

• O'-M. F A'{ lM ~\1( l-C~Q"'t lW10\'ldAM'vl5 ociA ~1\J .e¥V1'vtldt'V'e'Y MIJd... o'l.lt:q -ea~~ ~' !,A wi ~\tiy U.·V =-O .

• Owt A. o."f 'i~~ O\l M \K. OCM. \A.«'( V) ot i ~ ctcyt¾ W.i ~ <I'< A dt~li ~ y W'ecl ti\,\ ~lH-¼ l t::uO'Yttil/l«k ~M'i> .

• cttt f"i tX< pwctu~ IAV ~~V'ti~ L ~t- ~d MUlHpl1'ci l·d.

P01fN5ffi A\J r'YlA1~l5fR

[ A); = so~s-• \

0