Open Access Renewable Resources: Trade and Trade Policy in a Two-CountryModel

3J$I32

jqq

DMDI$IOW

5HflM

HJflAWHT43$1

223DDA

i4aqO

HUA$IT UT4A HUASLT

:2D5LUO3SI

JHUOM

Y$1TWJOD-OWT

A

MI

YDIJOI

13bnfifl

.A

ms

io1T

flo3

.M

4çt

nbhoW

HD5LA35I

DIMOMODH

q

UA[5IUfl

JAMOITAM

3un3vA

ud3aM

OO1

8FJO

AM

bhdrnjD

ô?QI

disM

3ffnono3H

Ia

1JB511Jfl

IsnoiisM

3di

i

inqi31nq

isnirn

bnB

jiET

ulouD

,1in3&1

doSI

[asrli

W

mon

tIoqqu

Iinniq

.finb

13iha3

n

no

tnmmo3

IuIq14

iol

3flflJr1nI

1cnfnu2

Q1

i5I

iol

51inD

D8IJ

di

bna

£b&u3D

lo

!i3nuoD

d3u51

iiinBrnuH

briE

3ni3

IEi3o

3di

'$1HflM

lo

flq

i

1qEq

idT

.bbLwonA3E

I1uI3iEI

i

ibui

niufl

IEnoiiErn3inI

1oriiuE

di

lo

ocfi

is

btqx

noiniqo

'(nA

.jnrnjvnI

briE

biT

!.cnoiiEmiflI

flu

rnEio1q

.dIa3$I

imono3H

lo

usiufl

lEnoiniM

fIi

lo

oth

ron

brw

ix3i

lo

noii

florf

.b3v13i

3r1Fi

hA

.ioLsT

iro

.M

briE

ibn,nfl

.A

nB1,

'd

ÔQQI

©

ilul

lErti

bbivoiq

noiirm3q

ii3i1qx

iuodiiw

bioup

3d

vjm

1qrIiEq

owi

b3x3

01

ion

.o1uo

di

ol

n3vi

i

,33r1on

©

nthubni

31b313

VtZ

13qE

nbhoW

$13 814

QQ!

rbisM

3JflAW3J43$1

23DDA

wino

3UA$IT

UMA HUA$IT

:3D$1UO23$1

JELUOM

Y$ITMUOD-OWT

A

ML

TDAiITHA

31dswn3i

nqo

Isnoi3sn

rttiw

1bom

i1nijoo-owj

boo-ow

£

qo13v3b

iqsq

thIT

nuoi

31dw3n31

di

iot

noinoqoiq

ioi1"

lo

o1&ts

hqmqqa

its

vhb

W

.iuoi

nuo

c1T

.noii3IJbolq

biIivib

lo

boodil,Ail

di

03

bits

mflsq

bsti

ol

ii

lniI

bits

2111IJ

1iis3,n

v13nIJo3

nifloqx

31UO31

bffiivib

s

v3woH

.bzfl

mofi

2f1L5

1noqmi

.disq

noÜiansi

5thn,

3113

gnoL

o1

s&n

bits

bsi3

moil

nijhji

'ii1bu

is.ia

bs3i

Iii

3nibb

S 3ZXS

nqo

d

b3rlirrri3bnu

llsitnsi2du

i

noüqmuiq

"3b51i

moiu

2riis"

3isd

3rIi

wilT

371110231 3f11 1fl3fl3d

2sw1s

VL111U03

ninoqmi

3iU0i

rli

d

bsoqrni

11hsT

.iuoi

.nivo1qmi-oi5tsq

3d

'(Sm

bits

,i33Ioqx3

io1sT

flo

.M

l3bnslfl

.A

23f1151

2*nonoH

lo

in3mflsq3U

37t3mfnoD

lo

'iIuaJ

sidmuloD

d2iihfl

lo

'3i2i3vinU

sidmuloD

d2iihfl

lo

ii213vinU

11

TOy

.D.fl

13vuoxtsV

SI

TOV

.D.fl

i3vuo3nsV

AUAT4AD

AGAMAD

$13M

bits

$I3flM

bits

noibuboinI

.1 '(Ufl35I

v&1

A3Oi

3io1

bns

rkfl

s

rf3zJ

woi

1dswn31

ioL&n 3&h

ti3as

13vdo

'nfiM

1isnt'

iii

noiblq3b

Jn3ftinia

afloq3l (QQ1) 1cf3W

Lqmsx

ioI

.nohiioIqx3

3v12a33x3 01

13jcJu

nd

1i

ho)

idi1

boD bnsIbnuo1wM &11

i

E3

miix

nA

bhow

i11 bnuolE

iidi1

11aso3 Its ho a1v31

iith

ho nsrli

aa1

ol

n3IIsh bsrl

aboi

QQ1

'c1

ir1w

(3onivolq bns1brwohwM

a'sbsnsD

ho

'.bao13

asw

ir1afl

di

bns

aOôQI

hs3

sf11 a3onsiamu3uo

ninsr1o

ol

enoqai

in3i3i1I

ns

ai

noii5Iqb

iuoat

fbua iath 3ldiaaoqmi Ion ai II

bns

niun

1naiqi

noi1siflia fI3lJa 15(11

'11iL

iom

ama

Ii

ivwoH

.itwoi

noilsluqoq Im1uz)irIsq -how nood 2sf! II a1f1ii

'13qo1q

oioIqfflo3ni ai

oiulisl

13*Ism oth ho

oiusn

ouT aoiulish lo*ism lsiinsladua £ n,uIw 1U330

'sm

noilzliolqxo-iovo

tsth

(.t1)

nobioD ho

how

gniloonoiq offi 33(112 lasol

Is

booiaiobnu

oioM

.(inoads 'I5i31qfflo3

ois

airlgli 'I13qo1q noilw .o.i) o3os noqo 01 I3oldua 21

oiuoaoi

oldswonoi .rioiisi1i1u ooiiioaoi Inolaifloni 01 oaii

ovi

sm

a1i1ii

\floq01q

ho onoIoIqmoani

ns

1siono

i&1i auoivdo moih

isi

ai Ii aoaiuoaoi oldswonoi

iovo

a3r1h

'tIoqo1q

oblqfflO3fli ho oanoaoiq orli

nI

oarrobivo lslobaons ho aoaoiq Isiovoa

ois

oioth

bns

n1voiqmi-oish1ow od

'1ii

aaoaon 111w obsfl IsnoiiJ3rnOlni iiolqxo

o

moth bol ovsrl

isdi

anoiissilsiodil obsfl

ho

oaiow obscn nood

vsrl

aoiflnuoa omoa

tsth

niiaoua

nwoi8

cJ

boaauaaib

as

ao1qmsxo ohdiaaoq .ovsrl bhior1a

or1i

nsth

1oviaaois

oiom aoaiuoaoi oldswonoi

bus

niiaovisrl

boasoiani 'lls3i1sms1b rlairIw ho

rhod

aoniqqihirN orb

bus

iasoD

iovI

orb obulani ,

(Q1)

rbum

ovsrl won

bus

aAooia iaoioh

iloth

bololqob 'ilsiinsiachje aOVQ1 orli

ui

alaubolq iaoioh ho

niiioqxo

iaoioh ho omI3ob orhi

iasoD

'ovI

oili ho oasa eiii

uI

.aoaiuoaoi laoioh iiorll moih

aniniso

ho alovol

iowol

niwoi1a boa n-iorltioVl

ninwsqa

ho (±)oia) a2smoid orb ho

msigsib

£

obivoiq

(EQ1)

anoais

bus

is&I

.boaola asw viodafl orb noriw

Q1

ui anol OOOO8

iobnu

bus

Q1

ui

anol noillirn ô.

I

uods

od 01 laoia airfi

noms

r1air1w Aaola nail airti ho

lnomosnsm

orb ho ioi2in1

1siono

oldsulsv

s

aobivrnq oals

ioqsq

airiT Isiaiommoa oania aoiiorlail ovilauboiq laom

a'bhow

orb ho ono nood bsrl ainli

isth

mo

amnioq a3nir1i

iotho

o(11

ui

aoasoiani

ailsmsib

d

bosrnisb

Isiovoa aEw

Aola

onIT .1

O

I

iso'

orb ni

nsod

bola

orb ho nir1ai1 \(13V0301 wolls 01 r1uono iovon oiow anoilauboi nialsa 1noupoadu .OVQ! bns

8QI

noowiod

gninuaao

flalsa .)Iaoia orb ho

5

jOLC1UCL2 CJUO J12C qJC LC2OflLCC) uq jJ2 q?UflJJtc 2U.flCWLC O tJJC CES22C

(T) iAbc

MP!CIJ MC LCCL O 92 UJUflICWLC2 JJJC LCuCMJC LC2OflLCC 12 2flp1CC O qowqc obcu

(

_c

¶ LCIJCMpJC LC2OIILCC 2Oqc uq JOL uq UJA bLoqncc jJC LC2OflLCC ooq JJ\OL J Uu1UJCLJLC ooq

corru.A r 2RD!JL o pc 2UJ conuii.) couqcLq iii LUCL 9uq J?4oL (j) cp couiurQ i CIJqOMCq

IPG 2IIJJbJC2I woqcj iU MpiCp O 1UAC2I1LC JC2G 122f1C2 12 v#o-conuiQ woqcj JU MJJ!cp CCP

COIJ21qCL JJC boipc cjjccr oj bojicA CUC2 ou rLqC bffCLu2 uq ou McjILc

o boipjc 1!UJCC2 CMCCU iLqC bopcA 2UCt1OIJ2 uq LC2OflLCC UCUJCUI bLcf!cC MC j2O M12p O

LC2OflLCC 2OCJ(2 uq MCJ!LC CI2CMPCLC JU JJC MoLjq O!t11 IIJC CXCU2IAC CfTLLCUj boJc?-jcAcj qi2cff22iou

!2 mjboi.wur 2 I10M 112 O CX1.U1UC pOM OIJC COfIIJ1J?t 2 1LCjC uq LC2O11LCC WUCWCIJf bLc!cc2 IJCC

C92C uq jjOMJJCMOLJ bLICC O tJJC LC2O11LCC ooq tO fC cuqocuon2JA qCICLUJWGq M1IJ!U tIJC IJJ0qCJ

PCtMCCU tLqC uq LCLTCMPJC LC2OIILCC IJJIJCIJJCUt 2bGCJCIIA MC MJ2JJ O O pcAouq qic 2UJJj coffutLA

iu tpi2 bbcL MC cmbt to wjc uotpci 2iuujcut 2tcb OLML iu nuqcLuqpJ Ipe cjqOu2p!b

MCLC92 COIIIJtLIC2 pjcc tpc bp!!!bb!uc2 uq qic IAoI.A cot UJt pe quJcq

ncp uJA2i2 2f1C2t2 t9T COI1IJtL!C2 JIICC JflJMU uq HOUR }(OIJ IJJ1JJt pcuct LOW LcJC jfpCL1!1tTOU cowbLuAc qi2qAutc 111 tJJC LC2OI1LCC ooq JJCU 22tcqA2ttC niijii) 2 IJCCC22L!1A UCLC92Cq pA tLqC

tLcjCe qJCU 2 2tcqA-2t1c rIt!I!IA 12 UCCC22LiJA cqnccq pA iqc tJJC OtIJCL puq i tJJC COIIUtLA 92

ccouowA 92 cowbiiic qAUMc iii ipc LC2O11LCC ooq uq LcuJiu2 qiAcL2icq u bLoqncqou JCL

t'p u obcu CCC22 LCUCM!jC LC2OI1LCC jj.i bbcL Opw!U2 tiJe 2tL1JC1U LC2III( ipi !J tPC 2UJ!1 obcu JL2t 2tCb tOML2 2I1CJJ UJA2J2 LSUCL uq JAJOL (Ton?) cou2iqcL JJC C92C O 2UJ11 obcu CCOUOUJA bLcucc2 IPCLC OMCACL pCCLJ LCJtIACJA 1!U!G IOUJrn GCOUOW!C UJA212 2IICJJ COUCCLIJ2

JJJGLC 12 IJOM 2ITP2WUtiI boj!cA-JCAGJ JIJfCLG2f LU pijqii LqC 2UCt!OU2 tO LC2OIILCC UJUCWCU1 OCCf1LLC PGtMCGU J ô80 uq j

tJJCCLfA TO2 M92 2U!UCUt 1C(OL LU fjJC bbLoxuJitc 20 qcpuc LU BCL cbw LCj !UCOIJJC qrn

3

woqr iii 2cobc pc LCAJGM L1Cjc pA Kcwb uq rou (g) couu owc wct.j ou LCUCThSPIC

flULO uq COf (J

uq

I4CPCL (I ôO) IPG 1!1CLWLC 1J LJC !IJ LUCMf L2OflLCC 2 LCIJ1!ACJA couJbLcpcIiiAc oici.nii o 11pioccouounc2, bLoAqcq pA C1LJC (ioo) OIPCLA11JJC OAGLAICM2 UCJ11qC

(T

uq

ooLqou (i )

uq

uirrcp oj rpc irnjAic pccionuq o OfTh bbcL I

_{OflI in 1JJ}

pCJcLOnUcJ vOLqJC LCUCMP1C LG2OITLCC cowbouGue onL bb prnjq OU pC C!C MOLJC O P&GCL

Lot,p ncp 2 2Liuiiu iuq

ticii (io)

uq

DcLqoL. 0

x3) io

bLoAlqc ncnJ couJbLiJAc

'U 21UL LLCUCC flCJJ 9 DP!1 uq wouuu 0

o) uq

E1P!L (j )

bbcL2

occ1iu on 1i.qc !uq

0j LIJC/ipJ LC2Of1LC2 211!WPJc pconuq jOL IJJC 1LqC IJJCOLA coulboucul o Offi. ujAai

JJJL /f0LJC LM2 011 1Lq!lJOIrnJ (çciLqJru uq CtOL bLobo!ou2) 1LC IpcoLA uq on tpc qJCOLA

UcCcLJJA JIJ

!LOIJJ

cxboi.j gx iipc fpc imbocL

1OCI( LU IJJC LCOfILCC Xb0L1i1J conIJfLA pn LGffCC 1G 1IJJboUiU conulLA tocjc JJJC LCOflLC GXbOLICL

bLic1icc ju qqiou iic poii

xboL1 1XC2 OU IJJG LC0IILC ooq !UCL IIJC (qA W1 L0fILCC owc 2nbbou 10 Lf1WCU1 Iii IAOL OI lliJ1C!U WLIJ2 OL OIJJCL 1LC UCf!0IJ 10 LC0flLC UrnUWCUL ooq LT22 C W1 nt!WA oj, IjJC LC0f1LCC xboi.tr. uq mA pc bLc1o-mJbLoA!u LJJ!2 LCf1J1 jcuq

orIL irnjAi o bojicA po/i u iuboi.t wu

wiboq

pA 1C conu1Q iwbou fC LC0I1LC

JOIJ IJJG 1LIJ11JOU btp jLOW I11LJ(A 10 IJJC 1Lq1U 2jCqA 2C

(i

oi.coicV

wc po tp1 ij pc LC0IILCC cxboI.cL jtiA quciujcq q;u II

_iLA

_boiui

(i

LCflj1CU p AJCMCq U CX1GU!OU O JC UJLJ-COnUtLA LC2LIj( LcbOLIcq U LUGL uq J1AJOL

corrcc 9pnuqu( conulLA uccG22L!1A 2flJjL Lcqnciou !u !12 1cqA LC2RjI oi 1Lqc

curiic

qicLujcq

bLoqncliou uq 1C1OL bLicc cdnjisiiou in qA 2W1c ccouqJA iic 2OM flJ9T Ipc

LjJCOLGU.F p.i qqii0IJ1 /AG 0M 1JJ1 fIfflC1GU1 1111hJLi1A CL0 C0flU(LIG !U 1P! LS1!0 0I IC10L bLobot4Iou

ILqC bUGUJ 10 LC11LAG 1C10L GLAICG IJ0M qcL!Aiu LGJ111 JIJThJL !U 2ILLLCWLG 10 IJJG HGCtCCPGLOP1TU

IJJ0 0i 11C10L bLobot4iou, 0L IJJC C2G 0I LGUG?APJG LC2OIILCG UJOqGJ ftG LG IJJCIJ pJC 10 cJGIJJA pu fl2!U tpi woqcj JAG ¶JLC p!c 10 OPWIU GAGLJ U1GLC1IU LC2r1112 IJL21 LG P1G fO iiuq u

b'°P'"° iuq I1U1)IA

L iI COUC21iOU MCLC uCJiipJC Ui 1JC 2CLI2C 1J1CLLA!UcbcA t/CLC 1LC LCpJIJAC 10 (JJC C1TLLCU 2OCj(

,j1ucouc2Cq,, oiitp

otc ipj bLoboi.toIrn1 LO/IqJ c

MOflJPC bbLox!w1CJA Cdn11 o

21C OL JJC LC2OflLCC 2iOCJC II. 2 =

K

IJ1LJCL LOft4 CUTJO1 OCCIIU JJJC AL1pJC L 12 jJC ,TULUJ2JC OL

cou2iLiIJcq CIJAILOIJUJC!J1 JJJC ALipJc K LCCLLC O 2 jJC 1CLLA1U cbctA, pc wxaunw boipjc

LC2OI1LCC2 uq 12 bcLpb2 tpc 2!uJbIc2 cwbTL1cJJA b1n21p1C UCOU OLW OL piOO!C LOMJJ JU

pi2 IfiIJCfIOUf OLW OL 0(2)12 fC 1Oi2iC J1UC1JOW 2 MqcA n2C !U JJC U2!2 O LCUCMPIC

0(2) =

L2(j-2\K)

()

jc

fI2C 2bCCIUC puCfiOuJ jOLUJ OL Q iACU pA

=

0(2)

-

W

(I)

LO/!JJ LC O(2(OY W1U112 rpC 1J1LAC2 LC H(1) DL0bb!U 1}JC LJWC LI1UJCU JOL COUACIJ1CUCC AICJq2

IIJC LG2Of1LCC qCuoCq 1 12 IJHJC1OU OI JC GXi2r1J 2OC1C JuG CJUC IL! tJJC 2OCJ( 91 f!WC t 2 1C U9111Lj

LCGLLC O 2 tPC 4qowC2fiC COflIULA 112 LG2OIILCC 2OCjC 91 1UJG 2 quocq 2(0 jpc irnwLj LOMJ LCUCMPJC LC2OfILCC LoM(JJ ECP conupA 92 LG2OflLCC 2tOCJ LOC1T2JU ou 1n OUC COrUJILA OL uot,

2 Ui BLUCL IJq JAJOL (T2) i 12 UCCC22LA O pC1U pA qc2CLpIJ C J)2C 2ILIICI]TLG O

3 T I'J'P1 JG2OflLCC QLOM

GIIGLI1J EdflII!P140WiIilflJ KGU61ApJG JGonLcG: yfl4JLA

LJIJqCL uq JAIOL (To) 2 2flP212IUT1 qCbLwLc ILOW CX12!U IJJCUJC2 II' IpC 1!CL9111LG

POOP pA bGLCC SUq /A!4pLq (I oô) 1Jq C00bGL (Tô4) OACL1I JJOMCACV MC ACM JJ2 bbcL JOIJ !/UqJ JrT2CJJCL (j AJflPIC OACLAICM2 O IUtCLU911OUJ LC2Of!LCC UJUCUJCIJj bLopjcw2 JLC bLoAiqCq !U

ucjnqu BLLCU (JootY CIJCPHU!2A (Jo4Y couLq (TooY cobcuq uq jAJoL (j

iiq

JJJCLC JJ92 pCCIJ CXfCU2LAC LCCCU1 IJ1A2!2 Oj IJJC LCJ91iOU2pib CThCCU fLqC uq fC cuA!LOmJJCu1

(j

uq 2C011 iuq 2OUIPGA (T oo) V LCJ91C LGCCUt brbcL !2 obc (j )

bni3

iuoi

3IdSw&131 3r11

lo

lvisri

3111

i

H

.thoo

owl

rnimno

bnE

uboiq

'(rlrIuo3

r13s

oi1w

3liEl3rrwn E

a

b3i11

ei

M

booD

1uiunEm

a

lo

illguofIi 3d

idim

rI3idw booa

idio

mo

i

M

jloil3ubolq

lo

iols1

i3111o

no

'1no

i

313d1

tiol

3oiuo1

3111

ol

noilibbE

nI

.1 01

bi1srmon

i

hq

1inu

10

ior1o

8

.iocJ1

1no

gnieu 3IE3

ol

aniuii

1fli&1OQ rliiw b33ubolq

1u13s1IJnsM

.J

iodsI

1o 3111Ev

'iods1

i&fi wofLo1 Ii

j

i

M

lo

oiiq

3rD

A

.M

boos

lo

linu

rio

3ubo1q

lodEl

lo

iirni

no

3111

ur1i

3vi1i13qmo3 s11331iq 31E 13)hEm lodEl

isdi

3US

3W .1

i

r1i1Ifl3s1lJfLsrrI flu l3LJbolq

Isniism

1313ErI

rfi

ot

nib1o3os

luo

b3Fnsa

i

gnul3v1sf1

isdi

3fflIJ2S

o1s

3W .1

i

ar1Frn3s1unEm

li

3sw

.flOil3flhJl noiiouboiq

ni1avisr1

(E)

=

fll

H- (• "noil3ubolq"

iol

thns1

q

1qn3213qu2 3rIT) .133ubo1q

'd

b3ilqqu2 13v1S(1 3111 2i 31311w linu 3rD in331q31

()HJ

grlifl3i

.inslano3

3viiioq

£

ai

n

bris

nilvi&1

iuoi

Iii

bu

iods[

lo

inuoms :0

>

()'HJ

lsrll

toP1

.\1

=

"H\1J

=

()HJ

isib a3ilqrffl (E)

1o13e

iuoi

r1i

iii ln3m3liup3l

iodsl

-liloiq

'd

luo

b3Fns3

i

10333

fliod fli nojl3iJbcnq .11S1 )130l 331110231 3111 as

aii

aln3m3liIJp3l iodsl

iinu

Isup3 laum

boos

331110231 3111

lo

33fl

3111

wilT

.(11n3 33iI

lo

anoilibno3

bnii

gniisl3qo aririfi 3nisirnixsm .noil3ubolq

lo

1203 linu all

()

=

HJSW

=

q iodsl IsrIl 2fl53ffl Ii 32u53$d rIoi1qrnuaas 22333s-n3qo 3111 a31s1oq103ni (4) noilibnoD

.3SW

rti

ai

w

31311W 311 dorn ai iod&I .

niau

iol

12o3 lsln3l fl3iIqx3 on ai 313f1T .noil3ubolq

lo

1203 113i1qx3 '1no 3rD

is

212o3

=

q

bus

,

I

3d laum

sw

3rD b33ubo1q 31S 23lulaslunsm

Ii

wriT .2103332 owl 3113 r133w13d muiidiliup3

vislogm3T

nsibisoi5l £ . axioonslnslern 3vsrl

ol

b3muaas ai

bus

iodsl

lo

lirui 3110 rliiw b3wobn3 ai 13ffl112fl03 3vi151n3231q31

A

noh3nul

li1i1u

as1uoU-ddoD

gniwollol 3111

d

fl3vi

ii1ilu

()

=

u

lo

noilqrnuano3 Isubivibni ai rn , boog 331110231 3111

lo

flOItqfIIIJanO3 Isubivibni 21n3231q31 rI 31311W

i

'ii1i1u

simixm

imuano

iIT

I

bns

0

nwd

bifl

i

l3l3rnElEq

i

bni

31LJi3S1LJflEffi

b13i

noiisimixsrn

2idT .w

=

m

+

flq

iniii&io3

igbud

uo3nE1ni&ri

n

ot

3331du 3mil

ni

ln3rnom .bnfirn3b Isubivibni

mit

J

twl

i

bnsrn3b 3ii23mob IsioT

.(-I)w

=

m

bns

q\w

=

ri &ioii3niil bnsm3b 3vsfl

w

,no

qmuno

in31q1

ot

D

iqi1313qu

niu

ur1T

()

.J(q-I)w

=

;

q\Jw

=

DH as 1133111w 3d

ns

boos

iuoai

(13

ioI

bnsm3b

e13vni

3113

)

ni

noiaa1qx3

bns11 3131 3111

griinsiis5I

(V)

DH\Jw

=

q

ai

mono33

11

bns

b3xi1

al

bola

iuoai

3111 3mit

ni

In3mom

s

is

bia

rIoit3ubOlq

di

nO

l3iinoll

1i1idiaaoq noii3ubolq nsibls3i$I vIsloqm3l 3111 anu13b noilibno3 in3rno1qm3 11th 31cr .nsibisoi5l

cf

b3nirrni3b

3d 1153 lav-isr1 mundiliup3 1s1oqm33 1(1T

.J

=

M

+

(2)s

d

nvi

ai

bns

(1N)

Isup3 '1qqua

griina

d

.3.i) (V)

d

nvig

33i1q brlsm3b

1i

ot

lsup3 (4)

d

f13v1

33fl

1qqua

3f13

fIiiI32

ab13i

airiT .(bnsrrl3b 03 (8)

=

H muildiliup3 311T

.boia

311310 noii3nlñ is3nh1

nias13ni

ns ai 3avi&1 muildiliup3 'Is1oqm33

f1

t&11 3oM .lolo3a

iuoai

i1J

ni

b3o1qm3 ai 33101

iodsl

1i

lo

t

noi3si1

n3r1

J(q-I)

=

M

ai M

lo

Iuqluo 33S18-Vb5312 obhsnJA

nA

4. on

i

3-13th 13v3woH .nwildiliup3 nsibisoi$1

bisbnsia

£

1i1

ai mundiliup3

1s1oqm3

9rIT 31qfnsx3 -101

1I

.331U0231 3rD 10 33s1

diwoi

1s3io1oid nPC113bnu 3rD IsIJp3 Iliw la3vlsrI 3113 isdi

1nsisu

as a3ffain!m!b )1301a 3111 113111

Z)

r1iwoi

153i01Oid

ab3X3

H

tavisd

mithdiliup3 \1s10qm3t 3113

1sniism

bus

3513V5 3rD

()

moi)

.aElsl 1o33a 331UO31 3(11 (11 'nvi33ubo1q iodsl i1ua3i

£

aA .ab333olq

3qn31ni

ia3vlsrf asd 1131(1W

Nq

nsibls3i$L 3r1T (.alIsI as alIsl

1auoivdo

(131(1w ai iocfsl

lo

i3ubolq .1

3I1JiI

ui

b3isltaulli as 1muildiliup3

1s1oqm3i

W311 £

ot

nibs3I

bswni

aloviq 113(13

Jx

aSI3H

I

3$IUOH

IsIJp3 ai (8) cd

fl3Vi

as

()H

fIQilIW

is

13v31

s

ol

b3vlov3 asfi

bola

3111 (13(1W 2313ffl3 3isia 'bs31e A

2b1i

tsup3

11

nifl

.()

d

nvi

()O

01

()

(N\-1)r

=

a1qx

11

'bsi

(IdB1im

bns)

31dioq

s

i

0

=

H

=

wfLT

.0

=

ndw

21U330 (Q) 01 noiluIo2

nO

noiluLo2 3r11 ni1cfo

w

ois

Ion 2i (01)

(i\Jn-1)A

=A

riliw

b1th3o2

23imsn'b

iuoi

r1T

.bo12

woi

sbs1a

3bhEluE

i1i

iol

2bnsI2

A

81811w 3111

rbnlw

ni

noilEuli2 £ 231s112u11i 3lugfl 21111

.

31uiq

Iii b31Eflu11i 31E 31s12

'bi2

£

ol

33fl318V1I03 2)lnulfI2 bo12 3111 aunT .

(

)D

thwoi

IslulEn

lo

22X3

ni

()H

la3vlsrI £ a3iIqmi

,

13v31

boia

1i1irn

A

bV3I 31512

bs3Ia

i*is3us

all

biswol

115I[H E[5IUOH .(8)

olni

(01) ni1uIiiadua

c1

b8nisldo ai 128'rIEri 31512

'bs1a

311T (11)

(1\Jq-1)){Jq

=

Ii

1ao

bns

1i alaix3 noiluloa 31512

'bs1a

3vinaoq

s

(QQ1)

ioL'sT

bns

l3bnslfl

ni

nworla aA

(1)

x

<

J\i

3d iliw

iuoai

r1I

b3ikiIsa

Ion ai

(1)

II

.(0

<

ioI)

31ds12

L1sdo1

ai noiiuloa sf13 3253

thiflw

iii

((s)

moi1) 3Ion

(

1)

lo

ninsm

3111 315i331qqs oT .0

=

H

=

ai

lsia

'(bs312 3upinu 8th

bns

b3nkiunuix3

ivia

8th 1o 3iUB3ffl

s

ai

i

aunT

.iuoai

8th

Io

31E1

r1iwoi

auo3n51nsiani 3(11

E)

01 Isnzoirioqoiq 21 1 IsrIl

(1)

noiaaiqx3

.woft 33iV132

io1ol

3vi15131 8th 231IJ2E8ffl

J\i

oilsl

8th

bus

A3oIa

woai

8th

moil

wofl a3ilqmi

J\i

"noiIoqoiq

1013EV

ii

'1no

alsix3 31512

bs3Ia

3viliaoq

s

isfil

nrsa

as

b3I31qi31ni 3d n3nlI

ns

.33nsbnuds 331U0231 if13i3i11U2 9bwlT

1anoitIri9)nI

b I9boIlI

ittmoD-owT

A

1.F

ii! . anoiiloqolq 101351

iol

1q33x3 163!in3bi 316 Isfil a3illnuo3 owl n33w13d 3b511 I3biano3 won 3W (Ilnuo3

isth

lo

ain3bia3l

d

223335

nqo

01 1331du2 ai lsnlI

iuoai

31d5w3n31 £ asnl

'1inuo3

[1353 1s1u3insq

nqo

lo

133q25 Isnoiisnl3ini 3rlT . m3ldolq 223336

nqo

Isnoilsnl3lni 3111 mrnI l3sllads 3101313(11 3W .

tno

V

JU1GLC211IJ COU2CdI1GUCG2

qi1,1,cLcucc2 ILL 01GL bLuJG1cL2 2fIC C (JJLAG21UJ G1,CGUCA) uq K (cLLAzu cb&citA) M0f! J20 JJAC MPIJC /AG 1,OCfl2 OU CL022-COrLIJILA qJ1,1,GLGUCG2 ILL L\J' 92 IJJC CGJJ1L1 92AUJIJJG(LA PGIMGGU COI1U(L!G2

qomc2tic obcu 9CC22 92 Of!!. MOLJCiU pAb0tjJG2!2

welL qOWc2tiC 1,2peLiG2 (oLiwJ cwbp2I2) oLjq ujc ct j (J bj ccoLqJujA MG 11CG

IIJtcurnuoJrnJ obeu CCG22 1PLOIi rpe cctcuou W021 21111 jjOM JLCC uq obeu 9cCG22 10

VLICI1JWLG OLU!1I0U 01, 1G fi we 111p0L2 coucjiiqc tP1 v11ponp 2ttG2 pAc JLGJA euqeq

DCACI0BWCUI bLOLUJ IIJC C0IIJIJJ!2210U 01, EfLL0bGU C0wmsTu!tIc2 we oqq pujc uq we ooq uq

P1 LCCCU( COWbLCpCLY21AG LG/IIGM 01, IU1GUJ1!OIrnI U2PCL!C2 LG2GLCP couqfTcteq pA we n w

BC1,OLC Lqc ObCIJ2 potp COJ1IJ1LIG2 LG 922f1UJG 10 C ILL (qAeL2cq) cnLJc!c 2teqA 21itG 2 LG7OIILCG 2OCJC2 0/iGL fWJG

ooq2 UJL(Gt2 CJGL IU2WIJ1JJG01!2JA uq we OLJIA qAIJ9UJIC Iq1.n2wJcut L!2C2 1,LOW tIle eiiOJflt!OU 01, 1G

AU(C 12 qctcuJJweq bniqA pA c cowlmz2ou 01, 0WG suq 1,0LGIU LG2OflLCG 210C1C2 fPOL IJJ4(G12 uq

Vt ecp boiut m rrujc po conurL!c2 AC jçcqu bLoqnctou 2ILIICIflLG uq C0WbLt!Ae

tLIJ2!1iOU bip iu 2Gcrlou

qe2cLibfiou 01, WC qAimmic 1LIJ2!1!OU tJJ OCCI1L2 MPCLT tLqc obcu je bLoAlqc WOLC 1,OLJJJJ uJA212 01,

LAJO2I 01, Of!!. UeU1!OU 12 qcotcq to C0WbL1Lfc 2tcqA 2WIG 9UtA2!2 pifl MC CU M!IP pLJe1, 5 JJJG bO2!AG VIJ81A22 01

rULJcA (rc cxbLc22lou (is) pojq 1,0!. CC conuu.A) uq wcu C0U2qcL tLqc

MG 922(JWG tpt we bLWC1CL2 LC 2IICP W1 ccp COITUILA 92 boituie 21eqA 211C LG2OfILCG 2IOCJ( Iii

L\f* > L\f'

(is)

10 pc jpoL 9pmJqut

LOL COUCLCICUG221 /AG 1JCG tP 1,OLGU COflUILA 10 C LcJAcJA LG2Of!LCG pnuqur 9uq we OUJG2tLC COIIUILA

L\F MG LC1,CL 10 we COfLUIL!G2 92 1,0LG1U,1 uq ,1qouJc2(c,, uq f!2G 92IGLJ2J(2 10 qcuote 1,OLC1U AupJe2

V2 2flC21C eL11CL fI2GLJTj WC92J1LC 01, COWbL1!AG qAutC 12 !AeU pA 1,C1OL bLoboLt!ou Lt!0 WOLC eWb!L1CJJA 2!IJUjCIJ1 BOIIJ ooq WA pc tLqGq put 1P0L 12 IUJIJJOPIJC CL022 COIIU1LIC2

II . iTJnuoQ ilrod

ni

I

i

Ew

&li i&1i

ni'1qmi

31ur3a1unfirn

nioubo1q

aFIIIIUOO rfiod

nqo

bsir

gniU

31UO1

ir1gid

D

&1

-1inuo3

ni31o1

3th isrb

(El)

noiiibno3 bnfi (01)

noi1up

moñ

Ewollol

iiq

'1qqu

ngiiot

di

isril

i&lni n3rIl

ns

w

(I

=w

riliw)

rIsq1tnuo3

ni3ioI

ti

bus

(1

=w

ulliw)

()

01

nid

1o1M1t

111w 1inuO3

ngiio1

u1T

.i1q

'1qqu

3i1rnob

3d1 usd1 2231

i

boos

iuoi

th

'd

b3ilqmi

s)

31ubs1unzm

110qx3 12um '1inhJO3 oti23mob 3111 1ir1w

boo

3311.10231

di

lloqx3

21 3mil

ui

ln3mom

s

is

non3ubolq

bus

3bsli

bhow

10

rn3nsq

33sx3 8rIT . (33nsIsd

3bsfl

2uo3nsinsl2ni

'd

bus

in3mwobn3

iodsl

3vi15131

d

)

boos

331U0231

f1i

iol

2si

lo

digrisii

3111

'd

b3niml3i3b

.

bus

dooi2

iuoi

3113 3vods

iavisd

au

aisi

11siiini 'Oinuo3

niio1

3111

boo

331U0231

di

rioqx3 01

l3blo

uI

313W 31s1 ullwoig

iuoi

ngi3lol

u1i bris

ivisi1

ngiio1

r1i

,isi

'bs3i2

3bs11-iq

3111

uI

.13v31

hs1us

nuoai

r11

b3x3

Jaum ii

isth

gni1qmi

, '12uo3nstnsi2ni

aii

isi

1visu1

th

,

nqo

3bsfl

aA . 15Up3 ol 1-isia 3101313111 laiim

woi

ngi3loI MIT

.3vIov3

s

1wo1a 23gn5113 '1no 1131f1W

3is1

diwoig

phsius

MIr woL3cf 33E1

ivwf

ii

213wo1

boog

331UO31 3(11 atloqifi '(linIJo3 Oii28mob 3113

isflno3

uI .11th aunT

.woig

01

boia

3113 awolls 31o1313n13

bus

(1si

nliwoig 331U0281 grlibnoqa3llo3 3113 wol3ct

bus)

13v31 3111

lo

11uai

£

2E nlainimib iaum

3bsfl

3lsiiini 15(13 a13o12 331110231 111 28113111103 220135 283fl31311ib Lsiiini M11 3(1111 2S noiissilsup3

biswoi

aAoola 331110251 3113

avom

3bsfl

Isnoiisnn3inI .3bsfl

d

b32us3

i1in1

noIloLJbolq b3iliai3vib

s

1311113

ad3s31

'mono

bhow

3111 ilinu a8uniino3 rn3muauLbs 13o12

lo

aaoiq

ainlT .2b333o1q 81512 'bs81a b3i1si33qa 10

iois1

ui

'11siins1adiia

l3lIib

2311111110311

io

r1gir1

'iv

ai

boog

iuoa

8111

lol

bnsm3b

bhow

II

£ '(13a13vnoD

.isia

bs3i2

ui

boog

woaei

8111 (11 3S115i33q2

sm

flnuo3

ngisiol

8th 113113 anoi11oqo1q owl 3113 n33w33d

'iiislimia

lo

331g3b

iissig

£

io

boog

iuoai

&Ii

iol

bnsm3b

bliow

lo

13v31

l3woI

b3ishlanom3b 25

,

23111111103 riiod

ui

noii3ubolq

lo

noiis3iliaI3vib 01 bs8I iliw arlornoqolq

ioiasl

ni

a3rlinuo3

iqsq

aith

uI

.noii3ubolq

lo

m3iisq 33512 'bs31a 3111 ml 23iiiLidiaaoq owl

'Ino

Mu

sis

32311T

.

noi1iaoqoi sf{s3i1iqm8 2231 25 ii W3IV 3W

lud

1a8181ni 311102 1o 21 3253 b3silsi33qa MIT .3253 b3ilial3vib 3(11 ff0 211301 8W Q

n1w

1biq

4

noiiioqoi1

ii

uiuq

ion

ob

w

MniEll2no3

aqe

nvi

bci

inBv3I3l

ibnu

3b1i

1uod

213E1

3i2d

m02

tIoq5l

w

1v3wOf1

iii1

.111330 11kw noiiE3flI2l3vib bnE noiiEi1Ei3q2 .fl0ii3k1i21Vib :1 no1ii2oqo1

nHi

,bE1i

1311s

noiirnboiq

ni

bi1iivib

2nism1

'(xinuo3 c133

II

bna

(1

=

=

w) 11nuo3

f13

ni

I

ol

Iup

d

iwm

Ew

f1i

(ENT noi1ssi1sup3 33r1q

loi3sl)

(1

(*

=

)

boi

iuooi

ms

rh

3v&1 111w

1fluO3

ff3s

(3M

noi3si1up

)bola

31uo25I) (ii u1Ev 1i3ni1fim

di

iiiw

1ui31unzm

mo2

auboiq

r1

nth

bflk213vib

i

I1nuo3

r13E8 11(1

:looiq

i&li 2woIIol ii

,

(i)

moil

bn

(.)

noi221qx3

mo1

(ii .1

i

Ew

fh

i&1i

i1qrth

fl3iffw ,

I

i

iodsl

lo

i3lJbolq

=

Hi

1idw

2\1

=

2E n3r1T

.boo

311JO25I

fIi

lo

33fl

bliow

f1i

21 .1q 1311W HJ

=

HJ

=

=

isfll 2w011o1 ii

*\I

.m1

n

inioq ff353

is

i1qqs

tud

isi

bsi

s

tii

rii&f

no

bn3q3b ion

ob

I

noiii2oqolq isrit 31oi4 I noifl2oqol'1 32115338

.bi1sup3

3(1 I2IJffI 2)13012 331110231

bns

gsw

b3fliai3vib 21 noit3ubolq I3V3fI3fIW

(niisrn

3(11

is)

3sinsvbs

3vzlsisqrno3 23isnimil3

3bsfl

isth

2311J2fI3 (IOii3IJbOiq b3ili2l3vib 15(11 231531br11

iotosl

lsnolin3vno3 1o anoxi3Ib3iq 01 33n51dm3231 flD11112 £ 21S3d Ii

aqi

23311bfli

bus

23111111103 22013E 2l3bom 2noi1ioqo1q 331110231 (13111W

d

m2insfl33m 3(11 31fi a3llinuo3 22013E 2frl3nsq noLi3uboiq

ninsrb

isrli

113vi0 3qofi

ir1im

3w 31t3rflomorl 31o1313r11

bus

ss1jjoU-ddoD 31S 233n313151q 15(11

nvi

bus

bilzup3

31S 2)13012

noin2oqo1

'd

b3c1211ds123 21 2iriT . anoitioqolq 101351 01 bAni1 3d fl53

3bsii

lo

fnsflsq

3111 isrIl

noiiiogoi'1

MIT

boos

331110231 3(13 lloqx3 i2um (11nuo3 insbni.rds 331110231 MIt , 31512 'bs312

nibsi1

b3ili2l3vib £ it!

(boos

3vian3ini

iodsl

3111) a3iui3sIunsm lloqx3 1211m

11nuo3

lnsbnuds

iodsl

15th 1

noi1ioqoiT

moil

3n11153351

.x'J

=

3H

bus

nJ

=

DH 3vsff

w

(8) no12231qx3

moiI

:1001'!

=

ti

bus

0

=

111 23111JP31 31s12

bs312

(11 noil3jJboiq

•*J\J

=

3HYH

isdi

2W01101 jj

=

01

HYH

o

,1

<

(*1\*J)\(1\J)

=

nisdo

n3lii

W

.

=

*D\D

=

iohirfT

ui1T

<

H

sth

28ilqmi n&fi 9H

+

9H *DH

+

DH

'd

n3vi

noilibno3

3nIsd

1sh3im

3rIT 11\D11

ii

ii

iioqmi

ium

bni

3ubo1q

Ii

nsii

boos

311JO1 fLi

Io

iom

muano

'1Jnuo3 tnfibnudE iocfsl

li

* * * . boog

iuoai

th

tioqx

iaurn

1irnJo3

tnbnud

moi

th

i&ii wo11o1

vi1fi11

'11E11J

3nirfniob

3onsbnud

O31UO5I

3vii!31

,43bom &ioifloqolq

io3th

bisbnsi

iii

A

ivwof!

4bom

noirioqoiq

lolQsI

bisbni

ii1rrU

10

noiiiib

r1i

i3Lb5Iq rnifl m ff3irlw

3nq

a?13O1

31U05I

US3

iflf1iJO3 22013B noi1fi3oII5I noil3ubolq JEfli

i

1U33O

!fII

fI3ifLW

'd

fninsr13m

f1t

nq

bns

A3o

83UO31

3bI1-ioq

tuod

noiiiulni

Iwin

3r11

fkiIdsi

£

noiii2oqoi

.

biIiwp

d

oi

E

noiiiaogoi

ii

'bJa

gnibn

b3flii3vib

nI

(i1irn

th

nwi3d

i1

b81onb

irtuo3

d3

ni

oi

moi

bsi

3bfl-12oq flOffltflO3

b

(1

bns

3Si2

boi

b3i2

bns

nq

'hiu

f!1

n33wid

i1

boog

331UO1

th

b

3FIq

bliow

3bE1i-oq

f1i

(ii

)

bns (8)

gniu

io

(T8)*O

+

(T)0

=

*D11

+

DH

3ns!fid

1&I3iZm

'fl

(i

:bppiq

(M)

.(N\T8I)T*1

+

(A\T-l)T1

=

((*J+J)q)

T

'Itnuo3

f13s

ni )bota

isie

bfliivib

th

io1 noin.r1o

£

b!i

(M)

bo

1nmgnsiis5J

()

.0

<

[(*1+1)\q(*J+J)

-

T

.booiq

th

i1qmo3

(01)

noi1qx

thiw

(1)

rioiiqx

gnhqrnoD

bsn

io1d

*\1

=

*q

bn

\1

=

q lzrl3

(1=

w

iliiw

(t)

gniw)

iIqrni

noil3ubolq

lo

noii3i1i21viU

(ii

***pfl

d

03 BW

S

q

<

q

<

q

3ifqrm

f13111 (I

tiq

gniU

.bS13

T"

=

q

oe1

briE •

bsn

iñ

noil3ubolq

ni

bfliivib

nifim3l a3ntnuo3 rhod isrLi

rnuiq

E bris , • I 2noiikoqolq 1013E1 flu 2fl1flUO3 2O13E

'3iis1imi

th

no

bncpb

isi

bsi

ni

1U33O nOziE3iuis1vib

irlir1W

.4

noiii2oqoI

moi1 woflo1 as

boog

31L1O21

f!1

iol

iasi

lo

thgn31t

th

bns

anoirloqoiq

II

4

noiiiogoi1

.511Ji3EhIJf1sffl

fil

i1i3qe

uI3

1ifIUO3 13f111*1 (i rilod ni

b3fli13vib

3d

ol

noiiuboiq

lo

n1flEq 8bsfl-iaoq 3111

iol

noiiibnoQ 3n3i3i11u bnE OE22333fl A (ii 21 2311ifl1J03

()

.q

<

[(*1+1)\(*J+J)]\[(*j\*J)]

f1i

1o noiiouboiq iii

i1ioq

111w

i1nuo

(insbrwds 3311Jo231)

ni31o1

3111 n3rIl

,

blorl

oi

211th

(

1)11 (iii '1i1idi22oq noiisi1si33q2

'1no

3111

1

thIT

b3fli2l3vib 3d 111w '(flnuo3 31123mob 3111

bns

boos

iuoi

.xibn3qqA

33

:lopi'1

oi

2noirloqolq 101321

lo

'iFi61imi2 3113

lo

31U3

£ 21

(1)

noiiqx,

lo

3b12 bn&1 1131 311T (0

<

y

mo

iol

*J(

=

J

bns

iy

=

1 .3.1) 231q1311Jm 161232 01 qu 16311n3b1 316 23r11nuo3 311111

.i11nuo3

2JJfIT .noi1ui1ano3 l3bom

d

31n1 21 fl3If1W

<

I

ol

233ub31

(M)

noiiibno3 brrn

*J\*1

=

J\1 fl3ff3 i&1i

i1qmi

niul

iii 113111w

b3i12i3

3(1 i2um

(ôI)

36th 3i1qmi 2noirloqolq 101361

ni

'3nsLirn2 1n313111u2 wollol

(3H

31o131111

bns)

noii&111213v1b

ioith

8v112131 8111 gninisinism 31111w 2noirloqolq 101361

ni

33n313Thb 3111 326313111 1123 3W 3d

ol

'11i1

5Iffl

21

(ô

I)

1dii3

nI

.

*1\*J

f1!2S3133b

io

i\J

nis3ini

d

noiiqmuas

33nEbnudE 310ffl

(1)

1Em

(boog

831U0231 3111

iol

is1

bhow

8th

ni133fl3i)

ni 2325313111 noi1ibbs

iii

.b3isIoiv

ni31o1

8th

bns

3b511

'(d

b8silsup3 3d

ion

Iliw 283i1q 101361 113(11 b31s1oiv 21

(1)

11 .b3lsIoiv 3d 01

'11i1

2inioq

4

noiii2oqoi

4113

nI

.31512

bs312

ni

boo8

831110231 3(13

lo

noii3uboiq 111 3i1th33qa 111w (1ifl1Jo3 ni

s

1si

no

bris atn3mwobn3 831110231 3v115181 no thod 2bn8q3b

qq

lo

ii1idi22oq 3111 isrll

mo

mud

(08

I)

rnMrnokl

bns

lixiU 21

ai

no

83f1313131 blsbnsi2 A) . '1o3f11 2nolfloqolq 103351 ISnoiifl3vfIo3

(.3vi1q213q

3113331 '13V S bns 2111J231 W3fl 3(1102

iol

(4QQ

I)

lIlobls3U

332 3(13 32111 worl2

1

riguolfil

I

anoiii2oqolq 228br1fl3v3VI .3m1 Iii inloq (1353

is

nsibIs3i5I 21 I8bom

fF

is1

Is

,

2I3bom 2noifloqolq 101361 bisbnsi2 01 islirni2 '1n1ai1qiu2 316 I3bom 3r11

lo

im•iqoiq

isa

'bs312 3vimElsqrno3" 23nirfn3I3b 33nsbnuds 331110231 3V135131

lo

311J2S3ffl A .2ia'1sns 3v1112oq 10 13v31 311136

311$

ii)nuo

i1i

li

13vo5IoM

iuam

eifli

'd

b3ioibiq

'1dsi131

is

wofl

3b5ii

bns

,

"3s1nsvbs

•3q1

bns

noi3ubolq

b3iIievib

iuods

3nuld Iliw

3bsfl

(1311) &1oifloqo1q 10)351

ni

lfihimi2 '(11n313ffi1J2 9bwIT

to

anoitilqmI

sB

bf13I

viIBnno'I

.€

noiiioqoiq

iois1

bisbnsi

bns

I3bom 331UO31 31d5w3n31

mo

nw1d

iiimslimi

311

3iiqQ

b31si3oas

lr1ini

3vilsrmon

3isd

di

rliiw

'Icpsfl

Js1ino3

Isdi

iLum

s

i1ds1

won

ns

w

l3bom

.3gsinsvbs

3viislsqmo3

10 '1o3f1i 3d) cl)iw

noiiiogo11

iiij

diiw

isi

bs33

nibsmi

b3fliam3vib S

nnsqmoD

bns

,

'ilnuoo

insbn1Jds-33muo3m

di

ni

ll1

ol

'1i1iiu

is1

'bs31

e3usz

3bsfl (i '1in1Jo3 ffisbnucfs-iodsl 3(1) lii

ij

0) 1i1iiu

1s)

'bs3i

3LJS3

3bsfl

(ii *M

+

(*A)HJ*s3*H

qqq

ii

d

nvi

3iiilidkoq

noiiqrnuanoQ p1ms1us

sd

vminuo3

ni31o1

31IT (i :loomq .13o12 331UO31

3Isi

bs31

'Amsius 3d) 3d

nW31

bns

'1msius l3brnJ

=

D*H Isili gnuron)

*J

=

rlliw

inioq noii3ubolq

r1i

duomrti

ninnm

311u1 i3gbIJd

s

Ito 3fflhJfl03 i2IJm V1ifUJ03 fI!3101 3d) 3b511 13f1A 3rn1

kili

lo

noilsup3 311T

.iqq

isi

'Cbs31

3bsn-1oq

1i

i

airlT

.3bsll

lo

&frl3i

bhow

3d) 01 kJJp3 3qOIa

qq

3bsn-iaoq

di

isdi

wo11o1 Ii

.(

noiiioqom

moil)

>

r2 3UE338

*J

=

*M

+

(T)HJ*sD*H

j

*M 31311W 13fl103 311)

is

1q33x3 j311fl011

'ii1idiaoq

(noii3ubolq

bns)

noiiqmuno3

'hsfljs

3111 3b1&1!

3iI

3111 ff1 l3WoI 3d

1um

'ii1iiu 3)5)2 'bs3i2 ni31O1 13fflO3 2ith

is

ion asw noiiqmuano3

hsius

2A

=

'AIEiIJS l3bnIJ

nsdi

31s12 'bs312

nibsi1

\(Iinuo3 3morf 3111

<

T

25

sdi

1q33x3

(IirnJo3

mod

di

mol fl1flO2fi31 111sisq moml 2woIIol 2idT (ii .3bsfl

moil

ariisg 3i5i2-'bS3i2 233fl3fl3X3 3isi2

'bs3i2

nibsm1 £ 0)

'1isius

rnoml 3VOffl 3111 ff1 IlsI

ium

ii1i)u

ff313101 Isrli 3(11332

lo

sw

3110

lo

33fl

3111

(*J

is)

1115121103

2'si2

3ffl03flf Isnimon n3131o1

'phsius

01 3v115131

isd)

3V132d0

oi

ek • (E

noi1i2oqo1

moil)

232i1 boo3 331110231 3d)

lo

3oriq 3rIi

bns

,

(I

is)

1n512r1o3

2'si2

23mui3slurIsm 11s1 i2um 'ii1iiu ff313101

bns

Animd2 laum 3lbnud noiiqmu2no3 11313101 3v1151n3231q31 3d) ,3mo1313dT El

insbnucls

iuoi

s

isi1i

(QQI)

io1sT

bns

ibnsifl

ni

i1ui

i1i

oi

golsns

1i

i

noi3i2oqo1

n&li

bsfl

ifis

1v!

'ii1iiu

iEia-'(bs31

iwoI

s

asd

3bsi

13fi5

bffiaivib

2ffi5ffl1

isth

'nono

nqo

11srn

bsii

moi1

nia

th

rn3l3bnu

noiiioqoi

bns

(?QQ1)

io1sT

bns

ibnsi8

ihoi

n1sT

.phsius

iii 131qmo3ni b &toiiibno3

ibnu

331LJO5I 31dswn31

lo

noiis3io1qx

r1i

no

bsd

bsii

oI

noilqmu1q

Ji1gh

lqo1q

thons

nivomi

isili nonqmlJ23lq on

i

ith

iu1iib

i1ism

S

is313

33S

n3qo

us8

ia3d

bno3

b1sbnJ2

d

bi1qmi

ai airiT .315113w 3volqmi

1i1saa33n

111w

(8bsii

no

znoiiidiffolq) noiflo3aib ns ol

in3misa

3viismlolninu 13viis131 airli

bno'3d

vom

ol

13v3wof1

4nslloqmi

ai

ii

.gninoasi

-315113w

io

ni3nsrIn3-51s1I3w 13thi3 3d

oi

nworla 3d

ns

3b511 doifiw

l3bnu

anoilibno3 3th

lo

noiisnimsx3

bns

ib

noii3lq3b

oiuoai

:*Iow

is

a&io1 owl 3111 1i3n3bi \11E313

S3

3w I3bom

iuo

ru

.niasib

'1i1s2a333n

3bsfl

10

i1uai

£

as

)13o1a

iuoai

all a3131q3b 1311flu1 lsrli 'cflnuo3

nA

.eis11

3bsli

lo

arrrii

bisbnsia

i3v3woH

.'ii1ilii 31s1a 'bs332 l3woI

ol

abn3l noil3lq3b rl3ua 113a1i

H

cjqq nsthls3I5I au al3woI 3vsd

ssm

bola

woai

au

a3ub31

Isili

'Iinuo3

£

n3va

.nofl35nb ii11o

1i

ni

*iow

a13&fl3

3bsn

lo

arfn3t .iiiiT 11n3i3iflua ai

boos

331U01

1i

lo

i1q

3vi15131

bliow

3111 11 a3iiilidiaaoq noilqmuano3

13is31

10 3351

1sniism

lnslanoo

s

asri

asw1s

flnuo3

b3flial3vib

s

A1ow3rns1I 3lqmia

iuo

nI

noiiqmuarIo

au 03 in3lEviup3 3101513111 ai

qq

all . 3b511

lo

amil

bhow

3111 01 15up3 noiisrmolansii ioviq 01

qqq

ni31o1

3111 23IJS3 noii3lq3b

iuoa$1

.l3bom nsibls3iSl bisbnsla 3111

ni

as 13i3noiI 3i1idiaaoq 3111

sw

1no

311T .1i1i3u 3ldsniSiiE mumixsm 3(11 ani3ub3l

bns

ta

noiuqmuano3 ali

niAnii1a

biswni

boos

iuoai

3111

fl

3siIsiO3qa 01 3d bluow a133113 3b511 10 arrn3t

lo

s1nsvbs

1si

bluo3

i1nuoo

ngl3lol

ii

.3.i) b3lsloiv ai

(1)

11 1U330

'1no

111w noilsxiIsi33qa 13v3w0H

.gsw

3111

ni

as313ni

ns

n3i13qx3

bns

.(1s31

'11n3i3fl1ua ai 3ansbnuds 3311JO31 3v11s131 3ila3mob brus

ni31o1

n33w13d 33n3i11ib Ilsrna £ ni 1U33O uluasi 3lsle

'bs31a

ni

a3aaol islimia £ usd1 woda

(QQl)

io1sT

bns

l3bnslfl

.3Is1

ai

no1

luodsl

all

bns

wol al

i

,31s1

thwoi

351IJO31 3iannurn aJi n3Ilw

monoo

nirIoqx3

331UO31 ni islimia '11rI3i3fl1ua

sis

a3illnuo3 owl 3111

Ii

isdi

ahq

bliow

auon3gobn3 1111w nwor1a won 3vsd 3W M

ii1i

bns

noitioqoI)

bsi

nibsn

£

ni

iuo

1hs33n

noiis3ili2l3vib n3rft

noiixoqo1q

1o3oE1

.(

noiiioqoi41)

'Qhius

nth

'ii1iiu

ni31o1

i3wol

bivoiq

!h33n

3isi

'b12

3nibEll

imsniU

InoilknwiT

b

kJirnA

,vitsmio1

4.€

-oq

W3fl 3di

oi

'0hsluz

moil

noi3iansfl

3imEnb

f1i

10 3iJ13qo1q 31u13w 3th l3biano3 won 3W 3di

io

'ii1irn l3woI

bns

noii3ubolq b3ifi2l3vib

oi

bfi31

3bn

n3rIw n3vll

isi

'bE3i

3bn

intioqmi

na

em

idT

.boil3q

noi1iansi

3d3

nimb

anisg

iiIiiu

3bivolq

sm

ii

flnuo3

ni31oI

ngi3lol

fIi

fkMflw

l3bnu

noiiibnoo

3IcIBnoaE3l 316 313111 1&11

wofk

3w iud

2iiEn6

luo

ol

noil63flhlsup .3161

bii

ni

lbw

as di6q noili2nEli 3(11 no

inioq

'13V3 16

3o1

1iflu03

bn6 3b611

lo

mi

gnibisgi

noiiiWni

iuo

moil

wo1Lo1

1i1idioq

airil gnibn6i13bnu 01

A

i1T

233O1

noi1ifIE13 3(13 iuo11uoith

b3fli13vib

ani6m3l \(IinLJo3

ni31o1

3di

ii

ab&113 noil3Iq3b

iuoi

3bs13

ni

3ffir3 ni

inioq

th

is

l3woI 3d bluow

'iiIiiu

21Q&fl3 noil3lq3b

iuoi

niono

10 3w633d

n3th

3b611

d

b3oub3l 3d

'h1s333n

113(13 bluow 316113w ni51o1

lo

3u16v

in331q

3is3316

311T 'pll6ius iii

nsth

bu

31

in

niinuo3ib

3f11

lo

1b1sg31

ai

(Iinuo3

ni31o1

fb

io1 3b613

moil

3aso1 Lsnoiiiansn

ni113bnu

noiiibnoo

3n0

(VI)

(*J

+

J)

<

*J

31o1313rIT .1 n&Ii

3I

3d

1onn

bn

w

161

6W

.J

<

('J

+

J)(q-I)

b13i'

(VI)

nians11s$I

(zVI)

J

<

(*J*

+

Jw)(-I)

'13i331q

ai a3lulo6Iunsm io1 brl6m3b

bhow

16113 (ô) iii

noiasiqx

bn&1 311gi1 3113

moil

woLLo1 Ii 13v3woH iflUOffIs ffUJffllX6ffl 3113 ai

J

lull

.J

ab333x3 bnfim3b

bhow

31o1313r1T .(6V1) not

31X3

lo

3bi

bnsrl 1131 3(11

ol

b3lov3b

t

ioclsl 3iis3mob

us

Ii

fl3V3

I1nIJo3

3i35mob 3113 111 b33ubolq 3d 1163

isili

31u33611Jn6m

lb

3ffl0

33ubolq

(thloil

(VI)

li

.3.i)

363

if1i

ni

lwm

'(11111103

fl15iOl

3113 16113 wo1Io1 II .31u3361unsm 3i1qmi

o1s

(VI) noiiibnoD .flisq noiliansil 3113 110 ithoq '(13V3 Is

I

01 l61Jp3

3EW

6

3v611

bns

a1u13slunsm 3isia

'bs3i

b3ilkal3vib £ 01 33fl313VflO3 5311J&11 3101313(11

bas

ablorl

(ô

I)

sifl

(01) noIaa3IqX3

,

flOiJ33

ni

b3rki1dsia

aA

anqo

3bsli

113ff W afl3qqsfl

lsdw

13b1a1103 woVl

iurbpcq pA (j OL i mn cdnjise /Mw 2K

yeu/ipije

Monjq cou unc o ijj eJqJeL nuuj ii LCCJJC

2 LOM2 cAcIJfl&A ouc oj uo P!U urnr pbbcir E1VCL wn ci LppL!1A clo2c o K (

ucwc Lqc obcu jpn wuJcqrcjA thou we obcuru o iqe 2 wu ro LOM uq 2W142 0 JJ

!IJcthLcf (so) LCI1 (JLow (s)) JJ9 nuqeL IUL!CA L2(I-2\K) =

ct.r'2 jCLCOLG

(j) wn pe

< K

obcu2 MC cu UJJCL

bbLocpc2 uq

Lpu.LJA CJO2C o K f!w bLocccq2 jO

2OCjC2 f 12 JJOMCAL (0 LM i1J1cLcuCc2 qLccqA JL0W (Is) uq (jELOUJ

(T Lcc[Ju iP 2

M conjq ucc (j

)

uq (lo) o bLoArqc cxbjc 2oIn(!ou2 JL (pe (L1CC(OLA oJ JOLGU uq qowcuc

q2\q1 =

L2(j-2\K)

_-

xt(r

+ r)2

(Jo)

ipe j0LC!U 2OCIC (joL 2* > 2) !2

JJ/C2( !2 11* =

c( +

r*)2* JJ LGOLC LOW (TY ipcqi1jcLC1J(1 CdflU0U OAGLUiU ipe CAOJ(WOU o

I0L p./(iU 12

_-

[Q-)(r

+ r')

- ii

=

b(r

+ r) fl2IJ (3) MC C1J peu 02LAC qrnt we

wnr 12O PC ipc uJonuJ o JoLeiu jOL qcAocq wuncwL!u ° rp Off1.J 4 J;oLc!u JP0L iei OACL

(jow (j) M1(JJ M=M*= J) it 10JJ0M2 j0LGiIJ bLoqncuou OJUJ1JCU1LC2 (i-b)(r + r') -

r'

jp

bLoqnc1u UJ0flUt '0J IJflCWLC2 IJq M1JJ M0L1 qeurnuq J0L IJJUflC(flL2 ACU pA (i-t)(r' + F)

1P12 cu pe qouc pA uqiu ipe JOL jjocteq to JJLAC211IJ jjup tpc (2becijeq) qowc2(Ic corlutLA

o opiu qic couc2bouq1u cdrrtiou J0L (PC jLC1U conu(LA Me uceq to qccurnuc (2 JLAC2t

q2\qr =

L(J-\()

> 0

(w)

conqou o pc qouicqc iocj (ow cdntiou (j)) 2 ACU pA

,/c LeuJ9iu2 i iii potp COnU(UC2 'q2 ou n >

ipe qowcuc LAC2t LWU2 CL0 uq t(JC

2bccrJic lu UJIJIICU1LC2 uq bLoqncc LAC2t oi4 CLO jpc 1OLC!U coflutLA LCIJJU2 qiAcL2icq uq qic

qie qoujc2tic conu.A cuuor 2CJ qie LeonLce ooq n it mjj pc nuqcLcnt pA oeu bLoqnceL2 o i

LC2OflLCC ooq u qie OLCiu cornjtLA wnt pe ien wu w2nbbJA

bLicc w qoiJJc2uc conuu.A jpccoe

hUPCLWLC oLciu uq qowcqc MSC2 cdnj j c cu qicu IIJCL Lom ()

wt

qic 2rrbbJA bL!cc o qie iwbjie2 qi9i we irniij LC2OflLCC 2(OC 12 jJipeL u qie 0LCiU conu(LA 1JJU !U qic qOWC2tC conuQv

LX

QIAGU couqou (j

y pc

uio corwtLi wrrr poq pc qAcL2IjCq /pCu ocjc2 LC Cdrq JCLCOLC

=

L2(T-2\K)

_-

xP12

₌

q2\ql

₌

_{L*2*(!-2*\Ic) -} (30)

PC1JA!OL0T 1P 2OCK CL t!WC (rc !AIJCU 2

₌

i

icu

uq 2* cdnjisc wA PC OAC pCJo/& OL bLcqcA 9 qcbuqiu ou bILUJCCL A1ffC2 JJJC q)uruJc

JJJC u/O 2OCK2 GAO1AC HI wuqcui OML JG 2icq?t 2WfC A1flC !ACU pA (j jp A1flC 9i Mplcp

2Mwbcq pA bLoqr1cIou q1ruicui

couJbLiAcjA 2JoMJA) jfl2

ocjc

_{qCAJ1iou2 CU UCACL} 21LG PCCf12C qJCA LC 2UUCOfl2jA pJe boqiicou COLLCCUOU !2 !U2UUCOn2 MCLC2 2OCJ( qrr2uJC1.Jf OCCJ1L2 HI LCJ tIIJJC (iC

OI: WC COnUrLA MUJJ ILIC UJLJU1JA PiIJCL 2rocje uq OfU O1 JLAC2JU itI IPC OIIJCL conuu.A jC 2bccq o,

uA wcib ur qcAwrJou O 2 pow 2* ionjq jcq o u iJ2i UUCOf12 ooq

o

poL uro rpC LC2OIILCC 2CCOL

OUCC IPC rHO LC2OIILCC 2OCJC2 LC IJUJjA cdn1sCq tPCA CU UCACL qIIJCL ILOLU CCP

OWCL ru

JJC rLU2ir!Ou IIIJrII 2 =

2*

1IJJC r

IUCOUJC uq 2rGqJA iuCL21u LCI cor oi cou2nwbr!oue !uJb1A!u rjrnr ii ruprA tjj CCp bo!uI iou

12 iurbjtcq pA IpC JOLCIJ ACL2IOU O ()MJ1J_{M* =} J) JJJCLCIOLGe JJG OLC1U COrIIJtLA p2 2JC uownrnj LC2OIILCC OOq Jjfl2bLTcC 21fL2 1 rJJC jOLC1U f1WLJCA ICAGI qJGU L12C2 2 1JG jOLCU 2rOCJC qcc11uc2 (jpi2 IIJC LC2OJ1LCC ooq !2qCfCLWIUGq pA fJJC jOLC1IJ 2flbbJA bucC oujA JJG j0LC!U COIT!JrLA bLoqncc2 tJJC

LCUJIIJ2 T T uq it tOwj LUCOIJJC ! I* JJJC bLICC O WIJflJCWLC2 LCW!IJ2 2tPJC 9 J JJJC MOLJ bLJCC oi COnIJILA LCUJ 112 qiA;L2ijjCq IJJLOfIPOflI fpc boc (jjn !2 CU2J1LC pA couquiou (j) JJJCLOLC 112 MG

1pLOnpOnt 1JJ12 CIJIILC ILUJC nb to tcj0LC1&i

rnjrA ! 1I!U 0 2CC t12 LCCjJ IJJt IJJC IOLCIJ

IJJC IJILJCL CAOJIIIIOU O IJJC 210CJC2 //C qCuorC IIJ!2 qifiC MjJCIJ 2 uq 2* CdnJ!C 9

Gdn1rtA

OIJJC boiut fiJJCU 2 uq 2* qo cdnjic qqjLcu1!i cdrIIiou2 (18) uq (j) CC2C o OACLU

MJJ!1C 2* onq tfl 10 2OIJJCtJJ!IJ 2ILJCIJA JC22 tPIJ K 11J2 cuuot tJbbcu iiiponi 2 suq 2* COUJiu 10 U!ACIJ 1Pt 2* > 2 'J!1!!I 2 uq 2* 11J112( CdfljISC 2OUJC 1j11!(G ITIJJC J IJJCA q!q UOt 2 iionjq U2C 10 K

IPC 2tpJJiiU lJf1C Iwbcq pA (Jo)

iqcp

12 _-

Q' +

r')\L] < J( OL nut!! t dnjicq !Mrp 2

iod1

IsloT

•(*J

+

J)(q-1)

i

iuia1unm

ioI

bnm3b

bhow

((EVI) rnoil) bnE 1 01 IBup3

m

(*J

+

J)

iod1

lo

irwoms

ninifimi

3rfT

.iiinsup

3rm

3111

bai3iq

3d laum 31u13E1unEm 01 b3lov3b lodE! 3111

ioI

3v1o2

ol

w

wo11s noilibrlo3

ni1s313-ihEm

airil bris (Os)

niU

.

11J

+

H

!Eup3

iwm

d

n3vig 31E

3dT

.noiiianfihi 311i 1o

3adq

irb

niiub

11nuo3 r13E3 lii 2noii&o1!E

(f)

[(*J+J)q

+

(A\_I)[\(*,_1)]](\I)

=

()

[(*J+J)

+

(N\*f)[\(i..*i)]](\I)

=

rIiEq noi1insi1

di

noIz

biswio1

1

moit

3mil

nl

nioq

1bs3 lB \1qqB 2f10iiE3O1IE 32311T *

=

313(1w modEl

lo

noii&o1ls a'

bhow

3111 hEft 01 lsIJp3 ai '(11f1u03 r!3s3 ni 3rnia3vIsfI

ol

b31s3o!IE iuoclsl 3ff) i&li io1'1 a31B1 rIiwol9 lBiin3l3llth

ffi

iol

1nuo33E

ol

rrrI3l 3v11s33n 10 3vinaoq £ aulq

,

("J

+

J)(\1)

,3ni)a3vlBrl 01 33W031 3ff) 10 3ninism3l 3(13 13V0 A3ola 33WO31 a 'ç11nuo3 13(1113

lo

rllEq noiliansI)

rh

iol

3vloa won (153 3W 3(11 lEfti aworla

3nignsris1

bns

(Os) olni

(1)

3nu1u1iiachJ

.(

oo,,iJ

I

,boil3q

noiliansll

di

lo

lsvl3ini

'd

nvi

ai ,1

=

I Is noiliaoq all

moil

A3ola 331UO31 3ila3fnob 11i

lb

noilulov3

()

[

(*J+J)q

-

(A\1)2(*1+1)]

\1

=

1b\b

•

((

1) ni n3vi3)

*oIa

3ISIa 'bs31a 01 3313Vfl03 A3ola 3iia3mob 3(13 Isr!I aworla

(Es)

01 noiluloa

r1

T

aworl a (Os) olrii

()

3fIh1J1iIad1J .wol3d 10 3vods

moil

13(1113 3IflOlOflOffl ai 33f13313Vf103 air!) ,31oml3f111u1 .)l3ola f131310l 3(11 01 (1qqs e3iIl3qolq 3ffl52 3111 15(11

Ii!iiu

auo3nslnslani 3r1i111133b £ asil

1Inuo3

n9i3lo1 3111 IsrIl b3nicnl3i3b

bs3lls

3VSf! 3W

ionq

3m1

'03v3

Is

.3.1) 31512 'bs312 3nibslI 3(11 abiswoi (1lsq noiliansil all

to

flsq

laifi

f1i

3(1015 313f!W(I3V3

bola

(1313101 3ff)

noiliansil

3ff)

la

1231 3(11 13V0 isrIl nwoda won 3vsff 3W . (3siIsup3

aboia

3(11 n3rIW

,1

01

•A

,)bola

')!1S1us all nsrh 2231 21

E

rioiliaoqofl

molt

,(13111w

'T

biswol

Ilsaino1onom

l!

io

32(1 laum noiliansfl 3111(13 3111 Iuorl3uolrll (13v31

'phsfljs

all)

A

nun) 2231 3d

aswls

laiim 13o12 (1313101 3111 ,31015I3f1T 31o1313rlT . ((4)

moit)

*x\

1

ol

lsup3

a'sw!s

ai

boos

331U0231 3(1)10

33fl

bliow

3ff) ,13v0310M .

boiiq

33(10

A*

(1511) 2281

a'sw1s

ai

'

as

,')hslus

ni

nzrli 13113ff! 3d laum

boo3

331U0851 3(1)

lo

33fl

bfiow

ffi

81

2IJ11T .1

is

bs3i2

21 231u1361un6m

lo

33fl

3111

bn

J

ii

21 3mo3rn lEnirnorl r1i31ol 13v3worl

nis

3111 IsrIl

iIqrni

aninosi

1311616q

.r1iq

noiii2nsli

ti

no16

inioq

'(13v3

is

woI

3d

iwm

'Oiliiu

ni31o1

.noi22u32ib 21111 si1Emm1J2

ô

noiiioqoidI

.noiiianEli 3111

nhub

2fliE

(flrnJo3 3morl

.

noi1i2ogo

noiiiansfl 3111

rio1

Inioq 13V3 ill l3woI 21

1i1iiu

ni31o1

n3rli

((*J+J)q

<

J)

2bIod (VI) noilibnoo

II

f1i

noIE

inioq '(13v3

is

iiTghl

21

'iiIiiu

oii23mob

,

'13i3vnoD

.

'hsirn

iii nsrli 3b613 3311

ol

'±sius

moil

b3311b31 21 316113w

n3i3lol

81ub83o1q nuinIJo32ib 3Idi2lJslq

'ins

iol

1oh13r1T

.'hs1ijs

u

nsrli nolilanEli .3b611

'd

b3263i3ni 21 316113w 31128mob

bns

3b611 'c1 23111Ev I8i3msIsq

no

gnibn3q3b

ni

m

'(IInuo3

ni1o1

3(11(13111 bIorI

ion

23ob (VI) noilibno3 11 3263 5 thu2

nI

.b3Ili2l3vib 'I31Emii1LJ 21 31612

'bs3i2

3111

Ii

(13V3 f1isq (101112(1611 3(11

lo

16v-131rn 3(1102

nols

.1111231 316113W

Iisl3vo

n

ninirrn3i3b

ni

insrioqrrñ 3d bhiow 2b33q2 in3fni2ulbE bnE

isi

inlJo32ib noiii2rIEli 3(11 griols 3b613

moll

nisg

'sm

-Iinuo3

ngi3iOl

th

b3si1Ei33q2 21 31612

'bs3i2

3(1111 31offn3rjnuI 3111

ol

163v63 21101132 6

3bivolq

ob

13r113g01 rzAsi ô

bns

anoili2oqolq 22313f1i13V*I .31612 bE312 (11

bn

.1n3231q 316 2331110231 31d6W3fl31 223336

(I3O

(13(1W 2i23r1roq'r1 "2160d us 21111 3b611'

j0q

9balT

.1 131116$! .b3l3biano3 3d ifIgim 16111 231z)lIoq 'f16m 316 31311T .2fIOiifl3V13111i 31d122oq l3biano3 won 3W 3ffl02 gflifI2ildEla3

d

31111161 i3Alsm 223336

nqo

3(11 3v1o2 01 3d bluow

3iloq

'123d-121i1" 3(11

I2uoivdo

'(13V 12631 16 10 3ldi22oqmi 1311113 21 ir11 13V3WofI 2i23f1ioqf1

a

.airlgri

rI3qo1q

3isnqolqqs

lo

m312'a 331110231 13V0 316d3b 13v31-3i1oq 3(11 (I3V1E) . 2ln3mIrn2ai '3i1oq 3V1161113116

iol

(131632

6

ol

gnibs3I , 'I12o3 boog 331110231 no

11ii1

Yioqrni IIsm2

s

l3bi2noo 01 21 q332 12111 1611116(1 3(11

3i1oq

3bs11

bns

in3m3gnsm

110qx3 113(11 16(11 3U16 23111(11103 grunoqx3 331110231 'flSffl 26

noiiibbs

(II .\(11fl1103 3i123m0b 3(11

d

211oqm 331110231 3(11

'd

xsl

floqx3 Ilsm2 £ 13b12no3 0216 Iliw 3w 1fI3m3gEf16m 331110231

lo

21001 '11s31 316 23xs1 2noiiEIimuI

33S2

iud

2noiin3vl3lni

xsl

bris 3b611 131110 131)12(103

ol

biswioliilgisfla

\(11161 2111 .l3floqx3 QI

1fE

noiinimsx

iir1t

bu131q

w

2A

.noii3uboq

b3i1iivib

thiw

2i1nE

iEi2

'b3

8viiElEqrno3 oi noiln3flE

iiii

W

won

W

.21vI

1o12

niioI

bn

3iiamob

1Ei

bE1

nwbd

r1iuni3ib

01

bn

w

.'3t1oq

uboflni

-laoq

ol

131i

111w *q

bn

q

11fihimi2 .2)13012 31UO21

1ie

b12

bE11-i2oq

r1i

ol

l3hi

ol

bnE 2flinuO3 owl

rfi

iii

23fl

Jai2

'bs31a

3bfl

si

bE3i2

133116 111w boog 331U0251

eth

no

Thifil 311231nob

6

won

ni

b31I3lni

W

n3th

O

Ic

T1i161 lEilini nfl 3nia&ni

w

lsth

i

'oLoboth3m

3id

n1T .213v31 'li1i1u

bns

233fl

'bsi

3v!lfllflqmoo

b31si3oes

fft

iuo

'11E3

oT

.

IIi1fli

3i133q2 1sni1flm 10 noil3ubollni 3th

ibiano3

bs3i2

3n11 nislnism

ol

s

o

nsrb

1um

bulinm

auonobn3

iohv

wod

o

bn

w

2i1flnfl 31632

-liloiq

iol

2ln3m3liup3l muildiliup3 '(Isloqm3i

nini63nism

oaIfl 3IifLw

1nmiiupi

33n616d fsul3lsm 33612 3113 nisinicm l2um

w

nifl

3vim3qmo3 1133113q

iuo

ni

jioi3ibbi

nI . '(11n3

l3bnu

noi1flimixflm

+

*q

=

q Ififil

niIqmi

itiisl

3th

lo

niiom

d3

d

1no

l3Tlib

aiiq

niio1

bns

3ila3rnob 16th noilibno3 .7

iol

0

oi

(I)

noieiqx

ni1l

no

bEd

no

bsd

al 103m31iup31 33n616d Ith3iflm 31s1a bfl31a

dT

31612

bE3a

fli

thwoi

331110231 2' \0111U03 16111 I611p3 IaIJIII 13n1Jo3

rbs3

ni

ni3avi&1

wriT . vflnlJoQ 11363

()

noiaasiqxs ,lasvisrl

bliow

sill

IflupS iai.rm (*H

+

H)

boos

sxiuoasi

snIl

lo

nOilqfnuanO3

bliow

aA .2woIlol

(4)

(A\*I)**1

+

X\

-

1)i

=

*q\*Iq

+

q\Iq Isnimon

nisioI

bnis

afloqmi

21 sisniw

X7

+

J

1qmia

all

smoni

Isnimon 3ilasmob ,

I

=

=

w rhiW

=

*q

bns

x\I

=

q svsnl

sw

,asiilnuoo rhod ni bsflieisvib a! noll3uboiq isrD gniioVl

.*J

ai smoani

ai

nslthwsi

sd

nsa

(1)

anoi1u1iiadjja sasril

niAsM

()

.0

=

(A\*I)**1

-

-

I)i

-

+

(7

+

J)

=

(7;*,)A

svsrl bits ,'clrnuoa 1311113 iol asxsl noilauboiq

lo

anoilsailqmi 5th mo bsthow ,slqrnsxs

iol

,3V611 sW 1i1i3u

3isi

'bssia

ol

nibtoaas

aflOilffsVtsirn srh

bslnsi

+

x\f

=

\I

mozd

+

*q

=

q noiiibno3 3111

()

0

=

-

-

=

oios

b3nisiniEm 3d iaum lr11

m3l2

uo3ff11um!

noiiup3-owl

E rrriol

(ô)

brn

()

noi31qx3

'd

Tb\*b

bns

b\b

i113

3ll

'bs31

3viisIsqmo3 cr11

iol

3v1o

flS3 3W

.isi

3vii1qmo3

bnil

01 31w1 e

l3mzlD

niw

bns

m31

noiisup3 owl

ith

gniifiiln3l3Thb 1LEJol (Vs)

Q\(8A

+

8A-)

=

(8)

cI\(87A

+

7aA-)

=

wo11o1 V

noiiioqoi

.0

<

.

-

=

U

bn

a3vilEvi13b Ithrisq 1n331q31

1qi13du

31311W '11331ib

iodsl)

3ila3rnob

r1i

'd

baoqmi

ThIBI

tioqmi

1sni1fim £ , (0

=

)

3b13 3311

moll

nthEi

V

noiiioqoi

.133113 niwo11o1 3(11 3v&1 111w

boog

33W05t

3(13

lo

tioqmi

no

(11nuo3 (infibnuds 3arx Iliw A3ola 331UO51 33Ei

'b31

niio1

3(11 bnE IIEI Iliw )13o1 331U031 81S1

'bs81

3i13mob

3flT (1 .(0

<

Th\*b

bns

0

>

'b\b)

331U031 8th

lo

33fl

3ls3

bs3l

nisio1

8th bnE

3n

iliw 331IJ031 8th

lo

33fl

31i2

bsi

3ila3mob 3rIT (ii .(0

>

Tb\*qb

bns

0

<

Tb\qb) Hsl Iliw

boos

.IIEI 10 311 1311113

'm

'liIiflj

3I1

bs31

oil23mob

bn

ii

'flhiiu

31s12

'bE3ia

nai31oI

(iii l33113 3lthbW 3111 3flIfflSX3 flE3 3W j3i1fl3b1 31fi 1fiuJbivibni

us

ni

(iii .xibn8qqA (ii

bns

(1

:lorng

biswio11disi1

.fflOn033 3tofIw 311110 isrIl

ol

Lsup3 in3mwobn8 ns riliw 131T1U&103 3vi1s1n331q31

s

no 3111

bbi'

()

noii3nuI 1i1i1u

lo

nO113v

31ss1s

8111 01111 (ô) 03 Jlscp3JnIJo3

ni31o1

3111

lo

noi1u1i3du

:(11nuo3 r1131o1 8th

iol

noiiniu1 '1i1i1u l33libni

31s313

(Q)

=

*TJ ab13i' 01 133q231 111kw *JJ

lo

3v115vn3b

th

gniAsT

*J

=

*1

bns

'(-I)

=

y

51311W (OE)

0

<

Th\*qb(*q\*J)qqy

=

Tb\*Ub .noili2oqolq 8(11

lo

(ii)

ricq

molt

0

>

Th\*qb

s

viiioq

i

(OE) fIOie31qX3 15(11

fl83

'IiE3

i

II

iqi

rhiw U

nhi1n313ThU

Sr

+

J

=

I 31r1w

qIy

=

U

n3flilw 3d

ns

'iilifli

l33libfli

i13moU

bI3i

fl3fh T

O

(IE) (Th\qb

(q\Iq)

-

=

Th\Ub

Uff331

1uii3

moil

3nii1s

333113 3vinaoq £ 21 313f!T

.'iLiiu

3i123ff10b

no

11iii

lo

i1h

owi

m

i3rIT

3v&f 3W

.boo

woi

3th

lo

33hq

3ii3mob

3rh

ni

ini

rfi

rhiw

b3ii3oas

b113

3vi3sn

£

iud

d3irlw flu

3S3

3113 313(13 31oth3f1T .3lsnirnob

'sm

2111

3fii

lo

1rhi3

3&11 noil13lumi2

'd

b3rf2i1dEi * *

*

.3131311

moil

ni

331332

'bs31a

331I3fl3X3 23111111103

rhod

rh

lo

33FI

bhow

3rh daiJoth 113V3 321iq

.ô

nou3ieoqoi 111 113V1 2311J251 fli211qI1J2 owl 3113 31311T rn) 2ni13 13t10qx3 331110231 3(11 22o1 3b1311

lo

2111131 £ 213ThJ2 13fl0qx3 331110251 3rD bnz alisi

boos

331110231 3Asm 01 2b1i11d31 )13012

ngisiol

(11 2llS1

33fl

bhow

3(11 fl3fIW 321J1333d 2fIi13

l3lloqx3

3rlT .(31s12

bs3J2

33fli

.iqq

331332 'bE312 211 IJJO

niñirk

b 335113 3111

sr1

2ifll

bns

,riisE

iiVi135 fISV3-)1531d

s

gnui2svIsfl \(Ilnuo3 srnorl srIi br1o3s2 .2bnsqxs o2Ls 132 asinhidi22oq noulqmuanoo 21i

bsi1iisvib

21 (Iini.ro3

riiio1

srh

lsiluisloq

silT

.lnsrnsvolqmi

sbsll

lo

alTrisi £

moli

afftsnsd

Ii riiioi11 flSVS 11i1s3 3(13 moib saol

'sm

isr1ir1 A . asaii

boos

331110231 sf13

lo

s3nq

vi11i

3i323m0b

srh

lull

losi

sf11 mofb anisla aaol oilasmob .)!3012 331110251 331332

'bss3a

iswol

1

ol

bus

ni1as'risi1 Isrioilibbs 01

abssl

331110231 sf11 1db SOIIq 31123ff10b Ii 32111335(1 13V3WOf1

fiiS

11112 bluoa 11ftuO3 3il2SfflOb srIT .333113

ii1i

111011

ui

aioviq

qq

Oil2SmOb 3fIT

moil

(slsla 'bE31a ui) nisg

sm

23fl1f1u03

rhod

lsth

sldiaaoq

sliup

ai Ii

wriT

.311115V31

lIiisi

23V13351 oals .aslqmsxs Isorismun oihasqa

rnau

bsiliisv

3d (ISO 1iLidieaoq aidi

bns

11iiJ

5 rlona

xsT

hoqxl

nA

2

sill

'd

.3.1)

boos

531110231 3(11

lo

lsnoqXs

3(11

d

xsl

llOqXs 115

lo

noiliaoqml 3(11

ibianoo

won 3W laum

asonq

niio1

bns

i1mob

3(11 , siolsd aA

d

bslonsb

sd

xsl

rioqxs

sf11

ISJ

.

(flnuo3

fli51O1 Isioi :IIsw as 313(1 asilqqs

(4)

noi2a3iqx

•*7

+

*q

=

q

ai

isrli ;xsl 3111

lo

Inuoms 3(11

cl

1511113 13V3WO(1 3253

ii1i

ii!

.boo

331110231 3(11

lo

rioilouboiq Islol ISIJps 3211ff!

boos

331110231 311110 noitqmuanoo 21331103

1nsmrnsVo

iiiio1

suli 3211535c1

+

J

21 SmOOfIl rigisiol 1ir1w

J

'Iqrnia 21 SffIOOfH oilasmob