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(T•Z) Cu- +u )- Z/1 +H =punoJ6b

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aapuf•Li ammAs jgaloads pug a4ngs punoq AVaauo oaaz n o4 spnsT

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TIC

puoaas aqy' Z/I + ST a,?augo agiRgs punoa^ aauaq puB aq-e s punoq

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(E•Z) I =Z(s't)A nri a z = {el ,tI rt}

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qE

sB ua44t.M aq

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punoq

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( B/(-)zo)T-UBZ(IR/ Mzo)T-uByIT-(LIZ)= peonpu

sT a8x-ego paonput aqq axojaxagy

lB / zo)T _U B J'le nri3T-( uz ) =

z101zT-tV e103B

(y XTpuaddy) ant,? 04 pa4BnTBna ST IBxB94ut anogB aqy -10

sanIBA OtgogdmAs' aqq Jo a,?BxanB aqq st B •zz¢ + zB = z1¢I axagM

(9'z)

z(.Uz)li zP

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sB (TraxneTZ) mBxBBtp uBmuAa3 aqq

moxj paqBTnoTBO aq uBo quaxxno paonpuI '(z'z) uoTqBxn]RtauoO aqq

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9E

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uoT4ouna aq jo soaaz aq4 su sa4v4s

punoq qa8 am 0 = x qv(ZT'Z) pug (TT'Z) SuTgogga u0• [(zq -ia)

- (+)Z^ ] =+N Pug squggsuoa uoTggaBaIut aav 0 pug ro •0 > x aoa

q -a(ZT'Z) (x-N)dxa I + 31

A (xN)dxa FJ = fl

pug ' 0 < x aoa

(TT'Z)

(0T'Z)

Z/-3;T

q(x+N-)dxa +NA(x+N-)dxa fl

0 > x aoa

aq o4 punoa iUTpgaa aag suoTgnTos at4J,

( -)f.0 = (oo-)so = (x)so

q = (c-) Zo = ( x) Z.o

(+)s¢ (00+)"o = (x)s'o

0 < x aoa q - _ (o+)Zo _ (x)Z<A

pug

amnssu am uoTgsnbaanoqu aq auTATos

aoa anagoods iiaaaua at{q qaa am 0 = x qv uotpnTos sq auTgogga

u0 • 0 < X aoa pug 0 > X aoa p9ATos 0. ST uoTgvnba STgl

(6'Z)

A A (x)Z(x)T0-xg =

n n(x)(x)

LC

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`(ET'Z) ao uoTqnjosg ST oaaz q$nogq uana' uagq' ssgm uoTmaaa

0144 sa UOMR4ST s¢ aT ao uo4Tjo9 TvOT$ojodoquou g sT T¢ az

(9T'Z)Z/T - = punoJ6 13

ST JR41

0 = q $uplu; uo (ST'Z) moan pauTgggo osjg ST sTgj, ' TggaH

Pug MTxogr 4cq punoj sua$augo agvgs punoa$ oq spgaT spgy Z/T +

' AagsmmAs jgagoads pug a jg4s A$aaua oaaz ST aaa44 uaq • (a- )!

- _ (a)! (5'Z) ugT$uga$gj aqI g4TM ST 4ggq ` 0 = q uagM

(g/q )T_uaj -puno.i613

STa$aggoS S

punoa$(9'Z)Pug(T'Z) moaa usgj'oaaz STMoja jgagoadsaouag

pug 0= q aoa ST gggq I q joanjgn auoaoaAjuo0 =assoao janaj

AVasuaaaoaaaagy• q UT uoTpounaOTu04OUOMgST (0)J 4gg4 PUTJ 01

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(fiT'Z) [+ij--ii + (+j4 + (-3'] q- _ (0)d

UOTjouna aq4 as soaaz aq4 Aq uanT$ ST sTgy •(cT•Z) a0 uoT4njos

ST 0 = a goTgM aoa q jo sonjgA JO aagmnu ago put; o4 q$noua uaq4

ST IT MoTa jgagoads aqq puTJ Oj, •q jo anjgn amos aoa TanaT &$aaua

oaaz g aq Isnm aaag4$uTssoao janaj goga aoa pug MoTJ jgagoads g

aq iiTM 0aa44 anjgn oaaz ISTgTuT s4T moan sa$uggo q sy •aAT4g$au

ST 0 = q uagM a$aggo a4vgs punoa$aq4 ao u$Ts aq4 aaoaaaagl q

es

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santS (6'Z) UOTgvnba. Z/p > x > Z/p- joa (TT,Z) £q U9ATa GJR

SUO nIOS Z/p < x ao1 Pug (ZT'Z) Aq uaATA a.zg suotgnjos Z/p- >

x ao3 '(6T'Z) uoTgBan$TJuoo ago Eutpgg uogTlos 1o punoj21Mogq aq

UT (3) uotqgnba anIos am rsoja IR1 cads puta 01 • (g • Z) Aq uanTB

gvgq

(61'Z)

sgamvsst aa.Bgo paonput .Oj uotssa.zdxa 9S O ST14 UI

( +)^^_ (00+) S0_(x) TO

Z/P < x X03q- =(o+)z0 =(x)z0

Z/p > x > Z/P- .o10 =

(x)

z

Z/P- > x.toiz

(x)

(x)

zq=(W-)W_(x) w

I

qj t q pTK 04TUTJ jo suolTjos punojV ogq .aptsuoo sn laq

suo Tsua'u TP

T+T UT ylPTM WITuTJ JOSUO4TTOS JO 6Baeya a e'.}s ptmOJO •fi •2

+^ g = (a)! o4 peonpaa sT (8T'Z) uoT nba uagy •-M

M Ojez ST s¢ ua1M' GOUTS ' (ET'Z) 1OJ gUOPTAQ OSIV St stgj

(8T'Z) Z/T- puno.i60

0 uagM (W Pug (9E) ' jag uT punol sg

(LT'Z) (-e/ q )T-u-ey i - =pu►,oxs0

6E

Z/I - ( q) j-uB1, Z - = puno,i6o

&q uaAT$ sT

a.Raego as punoaa aqq uagy•AjjsoTqugsTpv PSAIOA9 ST pjaia z0

oq uagtMora I-eagoads ou ST aaagq uagj•q jo uoTgouna oTUOJouom

ST (0 )3 q eqq Mogs oq Asve ST qI 0 = q uagM0 = (O )j AIquapTA2

(EZ'Z)

zis+(zq + (+)z^) + (+)s? ] [(-b +ziz+(z q +

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(0)1

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sy •uoTgnjos ALaaua oaaz ST aaagl puB(g-); = (a); ' 0 = q = z

uagM-94B4s ABaaua oaaz ou sT aaa44 puB(H-)3 = (H)J4T4UOPTA3

q - g q +aT + t - A L.A 4.

(ZZ'Z)

+ j

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[(+),o + +x (-)_0 + 1i

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aqq qaa GM Z/p= x puB Z/p- = x qR suoTgnjos aqq SuTgoqBw U0

(TZ'Z)

((xa1-)dxa9 -(xa1)dxa ,l) 1 - = A

(xg 1-)dxa 9+ (xg 1)dxa t0

suoI4f1os q4TM

0ir

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J

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sB uaggtaM aq

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x Tpueddy V *2

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am suotmaaassOTssBmg4TR q ptM uogTTos at{f Jo gUepuadeput

aq oq punoj ST a2?aBtio agB4s punoao Tapom ano uj • AN sAOUOAOg

PUB aaTooquaMuBTg 4q uaet$ gUgq g4Tm4uamaaa$B Ut eaB s4Tnsaj anp

suoT4BTnoTBO mOTU TBagoads puB OtgBgBtpB JO UOtgBUtgmoo B tcq

aaaBgo agBgs punoag oqq paquInoTBO 9ABq am aagdBgo sTgq UI

UOTsnTOUOD S-2

(69) eoueaajea ut punoj se B

W 14 BshonutluoosTp sT apTBgo aqB1s punoia ooueq puB 0 < +m uggm

AIUO sgsTxa 0 = q usgi a.Bgs &j3aaua oaaz TBT TUT eqq uayyB+H

= +m q^tM zis [(zq - z2)-am l = +ii Aq POOBTdaa sqa8(ZT ' Z ) PuB

(TT'Z) UT < f-O q M PaTJTPOM s4o

(Z'Z) Uotggnba W SSBW ggtM suotmaa; aAESSBW aNB4 am JI

IT,

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,1 0 1/ "d n,l-V uZ/T =

Z [Z 101+ Zli ]' ( ^duZZ(^ Zp JXp

Ja= < H >

T

qaa am uolgagoa MoTM aagjv puB ° X ul smaaq avauTl $ulddoap

x0'4Jy ' 0 = atr1A .zypuB 0 = 3. 54

ly ritas uolsuaITp T+T uI

z [ zo- zd(io -I) a + zM ] Z( uz )

[I¢I + a)o + N,]r.t + d (I- >n) + X ]d 2 ay liZp JPJG=T