Elias

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Elias_TurboX

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Elias_TurboX

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Elias_TurboX

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Elias_TurboX

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V

I

H A E K T P o GToT 0( cS ~uval fJ ~

S 1 pound ETW )(~pcs V tJE XWPlKfI

Ilt 001110-111

()r-~_

A

L1 kTPIK00 CPOptICl PCr)) nou n EpI KIUJ n QI c)i~

t111f U11 P Cit Et 0 S H 60VQ(f-fI Lorenh nou

0-6 LA Lt

I

~at etc ~OptlC) ampi lS(1Oll 0100 T(hl GXl~n

-

(ElPOECV ana tOV IFe - SpE dV =- Sevmiddotp) Edv VO~O GdUSS VO=-p )

V v ~

As ESEtc)b~U~E Lilli )(- ~UlInJbQ lns ( Fe) x = Fe)C

Fex = SVIDE~dV v

- ~ -gt - 7(Ex D ) = E)( -D + I Ex bull D - =gt Ex (Qmiddot5) = go(ExD)- iJ ex 0

AVTIIltaJIEtWVLCS ~nv Fex ExQU-E

~ex S 90 (ExD) dV - J QE)ltoD dv y v

- 6E)lt ] = cI a~ dX 0

VEx ~ ~xx Ix ~ ~~)(y + o~ Ie Enc-IEvvJJ n Fex 6Pocpc1()A

Fe )( = J9 (E)( 0) d V - J ~~ D d V

dE dX

t v

~----

----------------

V

I

H A E K T P o GToT 0( cS ~uval fJ ~

S 1 pound ETW )(~pcs V tJE XWPlKfI

Ilt 001110-111

()r-~_

A

L1 kTPIK00 CPOptICl PCr)) nou n EpI KIUJ n QI c)i~

t111f U11 P Cit Et 0 S H 60VQ(f-fI Lorenh nou

0-6 LA Lt

I

~at etc ~OptlC) ampi lS(1Oll 0100 T(hl GXl~n

-

(ElPOECV ana tOV IFe - SpE dV =- Sevmiddotp) Edv VO~O GdUSS VO=-p )

V v ~

As ESEtc)b~U~E Lilli )(- ~UlInJbQ lns ( Fe) x = Fe)C

Fex = SVIDE~dV v

- ~ -gt - 7(Ex D ) = E)( -D + I Ex bull D - =gt Ex (Qmiddot5) = go(ExD)- iJ ex 0

AVTIIltaJIEtWVLCS ~nv Fex ExQU-E

~ex S 90 (ExD) dV - J QE)ltoD dv y v

- 6E)lt ] = cI a~ dX 0

VEx ~ ~xx Ix ~ ~~)(y + o~ Ie Enc-IEvvJJ n Fex 6Pocpc1()A

Fe )( = J9 (E)( 0) d V - J ~~ D d V

dE dX

t v

~----

~ e -d E

lt- GUll cpf LDren1c

4Fe = yf E(EmiddotjY1) - E2~euro dS - sect Te dS2

a S

i- - S

2]I 1Dno) to SU)v I) fo -I 0 Te =- E E (E In) - 2 E In UVOJ (0 66 J ~ - ex

LTIW

I

nQ Icr-oTPC1lkC1 I 6PO-p~IIltC1J 0tJ0(StVYl

U~IU~ uvcu eOv~c VOl oUOU~( ot

e L 10

ITe I = euro ~ ) ex= ~ on4 QcSn TO

I 10 Lee) OVlVIES fJE tc t n u~ Te

v

I 0) r H s

rl ~ ~

FM - J J x 13 dV S(Vx H ) X 6 S[ef]- it )H- x (q)( ~dV ~ )]d V

V v V I I -

Of(ClU E(jIVf xpnlto Lou O~O Col) AmgtpYe -I J gtlt 1- =J KC- To) VOJQU

-lo I

GQ)USS (SIC) POIOYliiIUo 1TESlltt) B = O OnWJ ~~ 6tnv IAWrp06ToTr~n

X - 011 EW 0

Fm x S~ 9ltgt B) Hx - [Bx(Vx M)Jx ] d V V

I I I bull () opes -if fo GtO QrlOU~npW I-io ttno pfl vOl ~paltpU WS eS n S

(~middot6)Hx- [Bx(~XH)J)(

r 2gtGx + 8) + d B~ JH)(L ax ~~ Ot

- ~ (Hx ~x) + ~ (Hx 8)1) -+ ~ (-x l3 l ) - 16x ~H1)( + By ~- 8r~) = oX dJ tiC ax dX ()X

~ - aHV ( Hx B) - r3 shy

dX

19 6po

dw~Wi SH B(H jdHm dx o

V Jdwrr d v _ ~ (A 111 xW~) dv j W~(LxmiddotLI1 )dSJdx

V s

Fmx = JV (Hx B ) d V - f W~ (lx oln ) cl S v s

sect [ Hxi3 ot ) - w~ (l)( ~ ll1 ) ] d S

s

ElP~p~os OVtO s tnV LSlCl SlO SUlOlElOI l0l 2)lQ ttA d~JEs 6UV61JHd_

~ ~

~I IFro 1[H (~middotIn)- Wm In Jd S l TM dS s

S H ~ ~ I

onelJ TM= H(B-Ih)- rJB(H )J~I JIn cS VOJ La ltS1~lU()~ 0(

Q LWv PO() Y n t( HJ

I

V nIElwv eN Irol )

v

I 0) r H s

rl ~ ~

FM - J J x 13 dV S(Vx H ) X 6 S[ef]- it )H- x (q)( ~dV ~ )]d V

V v V I I -

Of(ClU E(jIVf xpnlto Lou O~O Col) AmgtpYe -I J gtlt 1- =J KC- To) VOJQU

-lo I

GQ)USS (SIC) POIOYliiIUo 1TESlltt) B = O OnWJ ~~ 6tnv IAWrp06ToTr~n

X - 011 EW 0

Fm x S~ 9ltgt B) Hx - [Bx(Vx M)Jx ] d V V

I I I bull () opes -if fo GtO QrlOU~npW I-io ttno pfl vOl ~paltpU WS eS n S

(~middot6)Hx- [Bx(~XH)J)(

r 2gtGx + 8) + d B~ JH)(L ax ~~ Ot

- ~ (Hx ~x) + ~ (Hx 8)1) -+ ~ (-x l3 l ) - 16x ~H1)( + By ~- 8r~) = oX dJ tiC ax dX ()X

~ - aHV ( Hx B) - r3 shy

dX

19 6po

dw~Wi SH B(H jdHm dx o

V Jdwrr d v _ ~ (A 111 xW~) dv j W~(LxmiddotLI1 )dSJdx

V s

Fmx = JV (Hx B ) d V - f W~ (lx oln ) cl S v s

sect [ Hxi3 ot ) - w~ (l)( ~ ll1 ) ] d S

s

ElP~p~os OVtO s tnV LSlCl SlO SUlOlElOI l0l 2)lQ ttA d~JEs 6UV61JHd_

~ ~

~I IFro 1[H (~middotIn)- Wm In Jd S l TM dS s

S H ~ ~ I

onelJ TM= H(B-Ih)- rJB(H )J~I JIn cS VOJ La ltS1~lU()~ 0(

Q LWv PO() Y n t( HJ

I

V nIElwv eN Irol )

V Jdwrr d v _ ~ (A 111 xW~) dv j W~(LxmiddotLI1 )dSJdx

V s

Fmx = JV (Hx B ) d V - f W~ (lx oln ) cl S v s

sect [ Hxi3 ot ) - w~ (l)( ~ ll1 ) ] d S

s

ElP~p~os OVtO s tnV LSlCl SlO SUlOlElOI l0l 2)lQ ttA d~JEs 6UV61JHd_

~ ~

~I IFro 1[H (~middotIn)- Wm In Jd S l TM dS s

S H ~ ~ I

onelJ TM= H(B-Ih)- rJB(H )J~I JIn cS VOJ La ltS1~lU()~ 0(

Q LWv PO() Y n t( HJ

I

V nIElwv eN Irol )

HAEIltTpa poi)v ntAut~ Auvcu( S

nDV

sect(Te+TN)dS -SitCOXB)dV s v

- AWi

-0enel) Te E (5 ) - e Ln

)

I ATm H (~oln ) - Wrn In ) -

I oI

DJdeg6tvn ~ Ebe XWpts 6L0i fi10pd

o opos -

I tampLOU

OlD6~6tts nUllt1I0TiOi op-l( s ( rmiddotJ amp1 a 6T~ELl ~ TooU )

c Vmiddot pound AmiddotsYmiddotsr(1 J Sm[PeM j = [DJ[I3] - ----- =

m3M2 rn2 - shy13

N yI sfjlt k~ Mis s kj (NIls) ~

Y)3 to 3 trI J

bull

11apaamptl(f-l Q

To npoj3~ ~o ono poundAXE fnl~uau ~ nponlSoup(lS Xgt(HIcnolJytos

on [u5tc s C(iV ampUlQ~) Lcveurontz viE xp~(n 1Iuv YMWCPIUWV nIEmiddotf[WIJ EXClJf-IE

sect1e dS =- STedS 2 + Sfe dS + J Te dSn

S oS Sn

0k)P~TOI )(j-IE lrl1iav naXcli UJ(TE

-

Tel = I

Ol EtpCiiTCJCVIULfI IJ Kd~ttpoundS ltOUVIshy

-

EltpD6CN dS 8vQJ j-Jolp r tnIp~ VLI OJ Tel) Te2 amp~V )J tlo(~d ri1cvtltu naVw 6tu

SI t S Ci~

f ~ fe e cis

btCIXOl bull

E [ E~2 l+ + En~lil ] [En J - E (E il 1~ 1- e E Ii Iii )[En J - ~ [ El + E - E~ - ErI~ ]

E( 2)2 - - EIl2- - Er ) l

2

=

21 cr (E n2-+ Etl)

A I h

-rlPcpa QuTivas R Pfpu =gtf0 E6IJJTEptuO Tns flOPCIO Q 0jJatb-lopltflCl

I 1T I C ~oTaVE_m ~fIlO TIOViOv E OIU LIIOU n CUVQtJ n nov Q6uUICU 6TO rtcWW

I

LIS nA Lu tp lutS nf~tAs

I

=- sect =fe dS one)

s

I

one

~ ) E 2( E E ( Emiddot (- Lc) - -2 E -ll ) l I

oncl) E To nESio noltw ETC 6161lt0

rov VC~C C1I911SS

-rlPcpa QuTivas R Pfpu =gtf0 E6IJJTEptuO Tns flOPCIO Q 0jJatb-lopltflCl

I 1T I C ~oTaVE_m ~fIlO TIOViOv E OIU LIIOU n CUVQtJ n nov Q6uUICU 6TO rtcWW

I

LIS nA Lu tp lutS nf~tAs

I

=- sect =fe dS one)

s

I

one

~ ) E 2( E E ( Emiddot (- Lc) - -2 E -ll ) l I

oncl) E To nESio noltw ETC 6161lt0

rov VC~C C1I911SS

0

2n R

J S

Tel d S - -E 1

Li SE(r) dS - ~Iz rJtC rdrd~2 9 [2

5 0 0

A

= t pound t

l p2- r4 jR 21T - Il

pa R+ shy9E2 4 0 36 I

- Q29 - Q2IT R4= Iz - Il

~n2 R6 36E 64rre R

6pos STe2 dS2 JEE(r)l0 ( r 0 0) ~2t(r)rbull J dS2- = E(r)rr E ~ $ Sl

- S[e Ec r) ir - ~ E( rl ~lt ] cl S ~ JE( r) I dS

s2 s2

=shy

A r Lx sn~cos~ +1)1sIBsn~ + trcos8 ltat E-nof-uvws

R i E2( R) [ l~ ~o dl df + ~yj Jsl~esln1gt dll~cas cp e-o degnll 2n S C 0

+ L JI gtln5 lto~ ~Jf 1 o

( sl26 )2 ZiT _

- e~1IA

Il Jltlf ~2(R) -1 2ii 1lt2 E= 2- 2- - 12 2 912shy

Er~middot Q2~ Q2 = If - - vf - 2

6na~62 3211 RLE

A

pound2 I

A 3Q2 C)~fVW) F

~

I b4TrE Rshy

r-)oo E-iO UO-I ~ ~ I t

En0-AEvwS n 6VVI(TJJ601 Te~ lteAvCil JncSrVII)I

=

=

pL1f R_4- ~ ~b It -- I~ - ~ f-~ ]~ 5Ez 36 IS

A p2 n ~If A p21T RIt 3Q -= 1 + IZ - Ii 36pound les 61nTE Ra

As OUVQjJrl Loren+pound ova ~ ~ ~ ~

f (r~-L) =yrrt) tCr middotU + d(rJt)x~~(r~t)

J(0)1 ~ ~ [--gt t ~ i Ji[pCfJe -+p(r)e~JwJ E(r)eJw +E~(r)e-Jw + 4

~ 2 [ Re 1p Ee j 2wt + Ret pE J 1+

~ [ ~ ~ 5)( BljVl~J + Re j)( BK j ]

-rT -gt

ltf gt ~ Stu ~) dt shy=

to 3 ~

per) E (1) J (rgt kc BC~) UV~ b cpaE(~ fUS l UJJ

pcto (~)t)) j(r)t) I 1lt0)

ltfgt

-

Tn-1tuCpc-O-lSvrlU(Wv KE-poundW (ala J~(LtQ XUJpis ~lQ6nC)po IClOTpC)n(Ua)

e2 1

- - In ]2shy

- euro [ ~ [Eejltl + E e-jt J ((E In ) il~ (~ i) e-j I 1 [ - j2())t -~I -j2w4- -lo -lol 1 ] 2 4 Emiddot E e or E middotf e ~ Emiddot E r- E E j II)

E ~ [ pound (EI) Coj L-M + E (El)e-j2gtt E ([1_) + E U~middot) J

--I 4 I [ j2vl~ E-l E-middot -jvY = )1 ~ J JEEmiddotEe + -e + +EmiddotE I

2

I I

o xpcVtuo s ~f6 OS opo cJ OJ

r JCu cov apG TtH nutltvOintOS oplJns to

r-)oo E-iO UO-I ~ ~ I t

En0-AEvwS n 6VVI(TJJ601 Te~ lteAvCil JncSrVII)I

=

=

pL1f R_4- ~ ~b It -- I~ - ~ f-~ ]~ 5Ez 36 IS

A p2 n ~If A p21T RIt 3Q -= 1 + IZ - Ii 36pound les 61nTE Ra

As OUVQjJrl Loren+pound ova ~ ~ ~ ~

f (r~-L) =yrrt) tCr middotU + d(rJt)x~~(r~t)

J(0)1 ~ ~ [--gt t ~ i Ji[pCfJe -+p(r)e~JwJ E(r)eJw +E~(r)e-Jw + 4

~ 2 [ Re 1p Ee j 2wt + Ret pE J 1+

~ [ ~ ~ 5)( BljVl~J + Re j)( BK j ]

-rT -gt

ltf gt ~ Stu ~) dt shy=

to 3 ~

per) E (1) J (rgt kc BC~) UV~ b cpaE(~ fUS l UJJ

pcto (~)t)) j(r)t) I 1lt0)

ltfgt

-

Tn-1tuCpc-O-lSvrlU(Wv KE-poundW (ala J~(LtQ XUJpis ~lQ6nC)po IClOTpC)n(Ua)

e2 1

- - In ]2shy

- euro [ ~ [Eejltl + E e-jt J ((E In ) il~ (~ i) e-j I 1 [ - j2())t -~I -j2w4- -lo -lol 1 ] 2 4 Emiddot E e or E middotf e ~ Emiddot E r- E E j II)

E ~ [ pound (EI) Coj L-M + E (El)e-j2gtt E ([1_) + E U~middot) J

--I 4 I [ j2vl~ E-l E-middot -jvY = )1 ~ J JEEmiddotEe + -e + +EmiddotE I

2

I I

o xpcVtuo s ~f6 OS opo cJ OJ

r JCu cov apG TtH nutltvOintOS oplJns to

As OUVQjJrl Loren+pound ova ~ ~ ~ ~

f (r~-L) =yrrt) tCr middotU + d(rJt)x~~(r~t)

J(0)1 ~ ~ [--gt t ~ i Ji[pCfJe -+p(r)e~JwJ E(r)eJw +E~(r)e-Jw + 4

~ 2 [ Re 1p Ee j 2wt + Ret pE J 1+

~ [ ~ ~ 5)( BljVl~J + Re j)( BK j ]

-rT -gt

ltf gt ~ Stu ~) dt shy=

to 3 ~

per) E (1) J (rgt kc BC~) UV~ b cpaE(~ fUS l UJJ

pcto (~)t)) j(r)t) I 1lt0)

ltfgt

-

Tn-1tuCpc-O-lSvrlU(Wv KE-poundW (ala J~(LtQ XUJpis ~lQ6nC)po IClOTpC)n(Ua)

e2 1

- - In ]2shy

- euro [ ~ [Eejltl + E e-jt J ((E In ) il~ (~ i) e-j I 1 [ - j2())t -~I -j2w4- -lo -lol 1 ] 2 4 Emiddot E e or E middotf e ~ Emiddot E r- E E j II)

E ~ [ pound (EI) Coj L-M + E (El)e-j2gtt E ([1_) + E U~middot) J

--I 4 I [ j2vl~ E-l E-middot -jvY = )1 ~ J JEEmiddotEe + -e + +EmiddotE I

2

I I

o xpcVtuo s ~f6 OS opo cJ OJ

r JCu cov apG TtH nutltvOintOS oplJns to

Tn-1tuCpc-O-lSvrlU(Wv KE-poundW (ala J~(LtQ XUJpis ~lQ6nC)po IClOTpC)n(Ua)

e2 1

- - In ]2shy

- euro [ ~ [Eejltl + E e-jt J ((E In ) il~ (~ i) e-j I 1 [ - j2())t -~I -j2w4- -lo -lol 1 ] 2 4 Emiddot E e or E middotf e ~ Emiddot E r- E E j II)

E ~ [ pound (EI) Coj L-M + E (El)e-j2gtt E ([1_) + E U~middot) J

--I 4 I [ j2vl~ E-l E-middot -jvY = )1 ~ J JEEmiddotEe + -e + +EmiddotE I

2

I I

o xpcVtuo s ~f6 OS opo cJ OJ

r JCu cov apG TtH nutltvOintOS oplJns to

t = Ll middot o XPOIIUQ

v

tA JCI

6 A -0 (SA( -1) r - (+1) I z- - lZ J

2euro ~

r [vw

xwpo

As

S =We dV v

= iE (r) s (h- 2)l

I onew s n HI CPOvEl 0( -en Ilto(~t

cr2En 0-AE vw ~ JW~I= -S ( -1)

2fd2Dnl I 6-e l~o

~+ A

Fe -- [ ~E2 S (-I) ] LeI

n noI)onwS GilCl

(

Tnv KltTW

(i)UfIUc n iamplo Suvcyo-IY B~ np~nf1 vex ~PE~O eN Ef(TpE P04oJpeuro 6tn1

n~vw rgtcXl(Q vO( VIIY~U np~j TOI (101l1lol 0fljoSn npOJ TnV OIeuro~SIJII61i ~J 0

I ~ + dWelTOlE Fe = - Cflii Icll

I

tbo

O~W)

(J2-52f

I

Uvcu

(5lt A (S2-s Lll = - Ie2( 2E bullLO to( OnuJC) l1pCI6~ 1j~EV wr He nop6 ~O~ -portO tjvQ(

~2 S A

I~

v

tA JCI

6 A -0 (SA( -1) r - (+1) I z- - lZ J

2euro ~

r [vw

xwpo

As

S =We dV v

= iE (r) s (h- 2)l

I onew s n HI CPOvEl 0( -en Ilto(~t

cr2En 0-AE vw ~ JW~I= -S ( -1)

2fd2Dnl I 6-e l~o

~+ A

Fe -- [ ~E2 S (-I) ] LeI

n noI)onwS GilCl

(

Tnv KltTW

(i)UfIUc n iamplo Suvcyo-IY B~ np~nf1 vex ~PE~O eN Ef(TpE P04oJpeuro 6tn1

n~vw rgtcXl(Q vO( VIIY~U np~j TOI (101l1lol 0fljoSn npOJ TnV OIeuro~SIJII61i ~J 0

I ~ + dWelTOlE Fe = - Cflii Icll

I

tbo

O~W)

(J2-52f

I

Uvcu

(5lt A (S2-s Lll = - Ie2( 2E bullLO to( OnuJC) l1pCI6~ 1j~EV wr He nop6 ~O~ -portO tjvQ(

~2 S A

I~

S =We dV v

= iE (r) s (h- 2)l

I onew s n HI CPOvEl 0( -en Ilto(~t

cr2En 0-AE vw ~ JW~I= -S ( -1)

2fd2Dnl I 6-e l~o

~+ A

Fe -- [ ~E2 S (-I) ] LeI

n noI)onwS GilCl

(

Tnv KltTW

(i)UfIUc n iamplo Suvcyo-IY B~ np~nf1 vex ~PE~O eN Ef(TpE P04oJpeuro 6tn1

n~vw rgtcXl(Q vO( VIIY~U np~j TOI (101l1lol 0fljoSn npOJ TnV OIeuro~SIJII61i ~J 0

I ~ + dWelTOlE Fe = - Cflii Icll

I

tbo

O~W)

(J2-52f

I

Uvcu

(5lt A (S2-s Lll = - Ie2( 2E bullLO to( OnuJC) l1pCI6~ 1j~EV wr He nop6 ~O~ -portO tjvQ(

~2 S A

I~

Tc

CgtfD-lt~lt ~I I(c ~()ti ltS~VO(jJIUO rThl V n nOlJ-U n(ltlt-t

ko( a

rltt-ampi c tJITotsU Tu-J r-u~~ uvcu

V

h

We Jwedv -E IE2 S dc= - J2-I

v

iG V 2 S 1 2 h- Zl

dWe -~v2S - I (-I) E V2 s == -ell- 1 (h-zj2 2 (~-l)1

( 2 A S 1F+ _I E VlA pc-~

e - E V S - 2 J = - Ii2 h2 2 hZ

TWpOi

H

( 1 (-gt ) Vlll == -L c ) E E - 0 = CJ -) (J == E h

t-fCpu VOl ()paP~ K~ lt)J~

_+E ()2

onwJ JDnov KO- 1_t11 rtf-pin~6t LOU TOISlqD0 cpcPltCIJ

lWpcx 05 ~cUIj--l~~c0I-f vol [nITpf)OlP( Tn Kivn6n TtlS nAcil(O-s (TVV

- -

+ d We dl

l It )

l E (~)2 (h~r) S 2 ~+ l

~ V2 -I E S ---t dWe I = ~(V2S

2 h-+l cl ~ If 2 h2 ll~o

c0-l (nC~~o) r r SWOfJY UVO--

~

I 2 shyr+ E V - S IZe -

= _~ ~ (YS 12 shy2 h1

- I -2

OfWJ IltO-t ilPQn~uJEiJWJ

GKWa(I-~Va Q~ 61SnpOPQ(SYrlLIU6 Jcluo pc ncA~ jlI6 Q 4t Oc)((~pClC6-tcx p

(no) pilltgtPV vo S8JJpY~J Qnupn) TC) ampdu tVO [xC) jJ~(SYn1ILH OI(trHplta~rn)l

Yo -IA(o~ ~ UQl 6ClC0 -Ar S To nnvtc 81euroCPPEns euroXu N 6nupcS aloppt~

pEI~S ano p~ltJya I No j3PESJ 1 ~Q(5Ynt~ QUVQ)J nou ()vanN6G~(()l

I I f I I I x

~ I I ---C~----

~ Ln (13 -13_) 0 crnv CIGXw

01100

I

Mf6CX ((0 cSnpoJ0ltSVI)CIu6 04luO

I

V cu ~ 3 S = n Ul t P06 J tV 0

Lr -_shy - lI-~ 72shyx

)oshy-- --shy t Fr2

NT r-J

NT 2()

E((w i=m 12 n ~uv~n 601

J

CV(P~CJCl EJvO-J

Wrt- 5wrndV ~6uwltgt

--~---- -

N~r~( NT )~Wm (X) = po

2)( SX r() S

4 X

)I N ~ 12shyC7w m)En0t-Hw~ Frt -l S Lx0)lt )( - -Io

4x 2 oIOT

I

Apa 6-rov uaJh nC)c [Ou middothJtt~~Qn~1 l)f~)( U

A tJtcQulltlV OOrtr-lrC)) Wm =2k PC) H $

N zIVVw(X) p- (NT )2 S (amp-x) = --10 4 (amp-x) S2 (6 -lt )

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