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uumlberarbeiteter Nachdruck November 1995 Druck Zentralstelle der Studentenschaft Zuumlrich

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( 62

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v == ~ampLl ~

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-2fJshy

Nuu tfJUt ~ 4kl- lUvl Uvt ~~ ~~ amp-shy~~~ ~ tuuje~b~ V6s~~ ~Aumlshy~Ja~ CCi t-~

----IIgt X

J

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~ Louml~ ~~)~ tUt~~ ampto-amp ~leu ~1tlde

J) ---U~~d ~eJM~~~~~ ~

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Q +- ce + Q-e ~ tlt COL) = ~- l~-zl

CQ-~)o ~lU~ lt

(823)

~~~ SctJt ~~ ~ ~ ~-1~ ~~_

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-34shy

5

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2

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j)~ ~au~~ ~At-~~ ~1a4 ( Stki)- clQ= 0) ~e ~ ~ ~ k~ ~ (tuu- ~ l(-~~~~ ~shys~~( U-t~L Cl fh~~ )

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lAl~ lAAt~ ampiA ~tamp~i- ~ s-fcLu- ~~ E ~~ (- -- +- a+-3) + A ) l gt ltL )

C(I-= A ) + L CL (gozf)

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i ut_ cl- cZ_IrZ J

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amptu ~~ ~t- ~~(raquo) ~~ ~ ~

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(fH JJdamp- c~~)Jt sect 4 A ~ ~ lf) lM~ ~~~ ~v~ V

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) x) x en - -

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-40shy

-b ~ ~~~ ~ ( )( - x)_ A ~ ~ --b ~ltL~~~ Jt - - x-x

LlAA~ ~ ~Qa~~ ~~~ _ ~ ~ ~~ -(atL(lUt4shycr- )(-X

~~r Mi- ~~)~ S~ ~-b ~~o-- t1l~ [Zmiddot3sectj ~L~ 0

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a a IG c~) ~ ) =- - ) ~I~= ~ ) Csectgt4f ~ - )( f )( l x -~4 Z-

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~~~~~k ~)-(lk~ tlaquo ~~ ~ ~~~d )~~b~ ~ t) ~ ~ C1(

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Se~ ~CJ2) ~ (q-) ~ sou~ ~ ~ ~ -Pe~~ ~ tk1 ~4uJJ~ttampe~~~ ~ ampu amp~

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r--shy

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(q8)~ -=- S~ ~C)( ) J~

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~ ~~~ ~a~ M~-~~ ~ ~~MQl~~~~ amp~) ~ ~

WL~ gt = S +- ~ ~i (Ql x( Yi -- _ - l~l ~3 2 lxs

E~ == - 4-ti q f t4 Y (~ltp)~ pUA r-t-(4-2 ~~ itu I

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)

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~l~~~t

Feldlinien (stark ausgezogen) und Aumlquipotential linien (schwach ausgezogen) (ur einen horizontal liegenden Dipol

Feldlinien (stark ausgezogen) und Aumlquipotentiallinien (schwach ausgezogen) fuumlr einen horizontallielenden streckten Quadrupol

-4sshy

~te ~JJsoskt~k ~ Utq~~-t~ ~~~At~ bull

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Oe)

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iJlUA UMk~ ~ k ~~ ~~keurotultj lt~gt~ ~ue2) W

lt1tgt = ~ lt ~Ck) gt (()8 )

~~~~~ ~ (9(vraquo ~~ ~~ ~~)

-41--

Luuuml-- ~ ~WA ~~ ~eJ- J-k aJ~ltA(j--D~~~~ UM ampu 11 W~4-I(CltAI()6~tJ-) Xc k ~ t L4tD~ eA--stt t0~~

Wu- se~ AA

lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

X~XL=- ~ uu) ~~~ ~ T~

(k) r (0 ~ lt~ gt LKJ -= 1 ~t~ - x~- ~ ) ~ (~~+-J J ~

= ~ (-~)- ct-s-(l(-~0 ( ~ ___ f ~(~x +- l1 110

3 l-ef) V l ) X ~x j Il - 00 -) ~

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bo j- ~ ~ Mamp~~ a4-u-t~ Mt~ ~~ v~tlt~ ~~~ a-1 U QQ~) 4 Let~ Mt- 1Il=ll)A u4ltt~ C~ ~ ~I~ ~ D4L-Lc ~ (SJ~~~ u1-) ~ ~(~

(I() 0(-) Ck) lty gt l~) euro ~(~ - ~-)- -f middot j (~-x -) -I- ____)

(ampl0 ~~

k ~~ ~s ) 6k~u- ~ ~h ~ )( (Ic)

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(~)E -= ~ $-()(- ik) ta ~~~ mrl tJ~ s~ ~ViJJ~

-48shy

~ Li~~~kb ~t lszligl ~~~J ~ ~k(shy~ ~~ S~~~ ~ltu~~~~tt~ ~~amphh~ XLc ~o tszlig ~ Azlli~igt~~k L~ ~ldl~S~~)

T Jb- wlkQ~ ~~ ScP~s ~ ~U4~-F~ fCkJ G ~ t~h~ ~c (W~~k~ JJlA bua~ ~~middotlI)kt ~ ~ amp~~~~~l~)

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~~ u-eAs~ltouml-LUM ~ (gi-) ~ (-lt6 -iA) QAtuLQ~ ~ UA ~ L4~ ~~~amp1h Ma~4-t~~ 5

ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)

--j~ ~~~ ~ tutk kw ~ I-h~JeU

I~~ E+4-1rT ) 6e1S)

Le s~ ~tk~k VA~~d J ~~Sit~~l ~ ~ ~ck~ J1RA Uut~k6q-)~ ~~shysQl~

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~~~~~~~~ ~W- ~ ~4t ~~~ ~~~ szligt~ eshy--z-~ ~-s~ -p ~ ~ Wu k~~ UM4 ~ ~~~~~~

--p =- rx e ~ (llgt -)

-b~ ~~ Xe ttl- ~ ~~~k~~f~~Q1el ~~ ~ Qu4 ~ E~~L~L~~~

J)atAMJ- lAshy

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~~~ (ce ~~~~d) tS-L ~

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+uuml ~ 1lttlMJk~ d4 ~k~~b~ (~h1) vle-~- ~ ~ uuml sectS

(12--b) V = 4tr~- I

g~ sk) (1()20

ct) tgtUMJ~~a ~~~ ctt~Ws~ ~~ ~QQz~4

~~~~v~~ lJM1-tgtk E A ~ E71tu ~ 1 C~middotgt()) ~~~ ~r4 ~ ~UA1~ e(s~)

x

e - - - - - - - - - - - - - bull gt- Z

A

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co~ 1lt1 ~=- 0 cof Rz) r-=O ~-+2)3--

~~ ~~~~ lMmiddotI) ~

Q - ll = Q )

-bZshy

~ a~-J eU ~~ E tI kt ~_~~ ~~ ~~ ~ se~ ~ ~ keamp~ls-~~ ~ k i- -b lt e 80 silt ~aM ~ ~ = Cl ~ ~ ~QQJt t= =- VCf ap = o ~~ ~ -te~~4~ U ~ Luuk~~~ ~ L6U-~~~C~ 1gt~ ltal- ct~LUu~0lt9~lht)

(P~LKJ= Z A( t-t ~J~~) )( E k jlpLJ() = t-=o ) shy

- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

(~tlir) ~ -p CA~b)

~-f-L-----gt a

__-~gtEe ----Ioo- shy

-s-~-

~ II~ ~ 4 - t 7- = -tc ~tt -Dab

~ =Auml) ~Lo =- ~) -- JS+- ~ ~szligt UUI szligA -b Q ~~

--BA=- tO ---DcQ ~ ~--~~~ ~k~- ~ ~ ~~~ aL-t ~ ~tszlige~

Lt) ~e~ ~~ t~ r - ~~ -=--~ c-olt-eq 1 ~~ Q cn~ t-=ll Cl ~ L=a )

(l~) sk~ ~ Dl- lt- 9t=c) - e COC(Jl 1 = -~ l CO t- t-=a CO ~=Ct

~ lA) ~

Jgt~ ~~~ ~~~~ AumlJ =- Ce =- 0 ~ t =+ -i ~ A A -= - ( 3 ) E 0 -J C ~ -= ~- -i a~-eo

2-+-E- e+shy

~ --Pszlig~~ td- ~ kaU- tLttrt ( b)

(A1-)4gt= -~ t o -t~~ ) xG-k)

lt2-+-2

-S-drshy

Aus~~ ~~ktl~ -b~ -P~ Wu~ampt~k ~~ ~_ )~1 V ~ - --1- V - lamp ~~- ~ ~J ~ J2u~~Lmiddotmiddot~ QL(

~3~ ~~ ( ~ h ~~ Re( E~shy~ e~to ~~o~L 1tu-~~Jt s~~

sect-2 ~lL~sct-s~ ~ ~ ~~~ ~-D~eReili-~

~ ~ 41Avt~~~ lf ~~s~ ~ ampe ~~-1 ~~ ~ ~ tI1~ ~L~k ~ ~ek~shy~~~ --Pamp~~~ lf ~~

W-=- A~ ~ ~ Cf J V 6z-1)

Jgt~ AtwL~ tv- ~~ ~ ~L ampd ~l-rt ~J UM ~ ~ aM4 ~ ~k~ ~ dle ~~ ~h~l~ ~ ~~ ~~ ct~t~~M ~Qu ~ ampIlA ~~~~~~~s4laquoA~ ~~l ~~)~ (21 ~tLL ampk tjf4~ ~ ~ lUA~~r~ ~~4~~ ~

j)~ ~~S~~ ~-4- ~~L ~~~ ~ 1Se~A~ ~-S~ 1 UMd sect U-O-~~~

WtA-~ cL ~~- llW J ~ ~a ttl I MAumlAuml ~ U-tfu~_ ~ ~~ ~~ ampu ~~~~~~~ ~ ~shy~~ ts-1~ ~ lJ1ampit~~ ~~ u-Jl- ~~-shy~)

-ssshy

~w-= ~ li~Qs) 4gt ~ ) J~

1~ rn ltQ ~ ~b~~~~~ 5=-SZltP ~ l~-= ~Sgtt ~ Ouml~e = ~ ~(o1) lliL ~ lgtltU(~ J4~~ -u~ ~laquo ~1aU

~W= -1 S sect~~ ~ (J2z-4r

~~ ~gt~ ~ wcA --J) ~ 0i~~-~ Qamp~~ t- secthgt =~1f(sect~) ~~ lishy[122) ~ ~~-j)~~ ~~~ Jamp ktCra~ k-~~~

W= - ~ ~1 J-V Cl2~

JU~~ ~ ~ ~~ ~g~~4

(r24)

-~b-

sect ~~ -~~~~~1~~1 vAUJ eUe~s~cke ~~eeftlaquo-t~ (~~~C~lvl- -(~cv)

Juuml ~ M~t ~~ ~ ~ Car~eurogt~Ulta~OC)Be_ 2t~~ ~~~ ~ -bk E uuJ ~ a~ llu~-~gt =gtJcut~~ 0lt k-t leb~ ~ k~~L ~

-tlaquo ~~~ szlig- ~ ~ --tgttt~~~~ RAlt~ ~~ C~~) uMamp C tamp amp4A hluJ2e ~ dIl4 A~ ~~ ampJth~4 ~ E t( lMJl u) s ~l-laquose~~ E t-g J2U ~~ ~ (~k ~-uraquo 4h ~~ U4~ ~ W4amp~ Ll ~lu- ~~4l JU ~szlige~-d ) ~~ E ~ E ~etL

hllM- lamp- turA ( 5 f) = cx -l ~ LW b~k k ~~) ~~ wO- ampal-~ L l~2) ~J SD JV~6~ ~~

~tJ0( lJ e aumlL AlL=- --shy - -4 oe l-J - 4lr oumll j

3 ~

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b~ ~~~~~ ~ ~~-~~ ~~ AishyWittM~~ I-tt t ~ ~ T~~~-A~ N JQ~~-rA ~ ~~~~ ~ E~A l~ ~~) UfASA~~ LLu~sJueJ ~~ g I ~ ~ lUu( ~ Cl~ 4 ) ~

euro- A ~ 4lt kJ cX bull LE~)

~olt ~~~~ ~u~~LtvA~~~ ~~~tkt Be~ltl ~ ~AtfU~~ ~ ~ J

- S1-shy

1e~~~ ~ ~ C~Z-)middot

tou ~~~ ~ --j)~kltG~~ ~ eutuA s~~~ ~~ ~ go ~ ~ lMA~~sk ~ 5 t-el ~(64) fu ~t =- 0

D~~ ~ E =- Cfgt ~1-

fgt = (Jo _ ~ ~ltrgt ~gt ~ ~_~f J

~~ 40 ~ fe~l~ ~ ~~ teJo( E ltgt m -DQA PJJ ~ Wd S I Ct4 Jtv S~~ ~(rl~ tS ~-~b ~~ E o ~ ~ SlAUALMa- ~ ~6Z~ ~ -plusmngt(ygt~) tZu4~~lMeuroM ~ ~(t~ ~ ~ Ae~Le~ S~ -btamp SulU~ a~)W~-lM ~ ~ ~~ ~ (J~ ~~ UM~ ~ rLt amp~~le SlJk ~~ ~ k J ~ UA~b(M~J ~ tf(l) ~ ~uus- ~ ~ JJL ~-Ut~l b~ tgtdZ~ ~ amp14 ~ ~~ ~) ~ lw~~ ~l- ~ Mamp~ ~ ~~~) LUul~ ~~ ~ ~~~ ~ ~ w~ cM ~~~ ~ - Campl-~~~ t(shy~~ ~A~~~ ~e~~~~~ m C~k~ (t14))

51==- Q (PA ~( = - S ~~ Ui) cl~ f - ~ p ~ I ~~l)) 1R~K ~- ~ ) ~- ~ l

(~ ~ouml1- tuL4 lt ~) (

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Wu- se~ AA

lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

X~XL=- ~ uu) ~~~ ~ T~

(k) r (0 ~ lt~ gt LKJ -= 1 ~t~ - x~- ~ ) ~ (~~+-J J ~

= ~ (-~)- ct-s-(l(-~0 ( ~ ___ f ~(~x +- l1 110

3 l-ef) V l ) X ~x j Il - 00 -) ~

bull -- u



(ampl0 ~~

k ~~ ~s ) 6k~u- ~ ~h ~ )( (Ic)

~ ~


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-48shy






ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)


I~~ E+4-1rT ) 6e1S)




--p =- rx e ~ (llgt -)


J)atAMJ- lAshy

-~-


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(12--b) V = 4tr~- I

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A

-S(shy

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Q - ll = Q )

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- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

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-s-~-

~ II~ ~ 4 - t 7- = -tc ~tt -Dab





~ lA) ~


2-+-E- e+shy


(A1-)4gt= -~ t o -t~~ ) xG-k)

lt2-+-2

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-ssshy

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W= - ~ ~1 J-V Cl2~

JU~~ ~ ~ ~~ ~g~~4

(r24)

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3 ~

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- S1-shy



D~~ ~ E =- Cfgt ~1-




(~ ~ouml1- tuL4 lt ~) (

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-S8shy

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JC(( 1-~s shy

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-S9shy

~ (~2) ~-k- r-g1



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(g middot1)

-42 shy


R=-o

r--shy

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(9Q)


Qlj = ~ (~(~)(j - Ir~J -t2) ~O)~ bull (9l0)

~ ~~~ ~a~ M~-~~ ~ ~~MQl~~~~ amp~) ~ ~



LY~-u oL L~lU~ )

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lt1tgt = ~ lt ~Ck) gt (()8 )

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Wu- se~ AA

lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

X~XL=- ~ uu) ~~~ ~ T~

(k) r (0 ~ lt~ gt LKJ -= 1 ~t~ - x~- ~ ) ~ (~~+-J J ~

= ~ (-~)- ct-s-(l(-~0 ( ~ ___ f ~(~x +- l1 110

3 l-ef) V l ) X ~x j Il - 00 -) ~

bull -- u



(ampl0 ~~

k ~~ ~s ) 6k~u- ~ ~h ~ )( (Ic)

~ ~


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-48shy






ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)


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--p =- rx e ~ (llgt -)


J)atAMJ- lAshy

-~-


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(12--b) V = 4tr~- I

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- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

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-s-~-

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2-+-E- e+shy


(A1-)4gt= -~ t o -t~~ ) xG-k)

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-ssshy

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(~ ~ouml1- tuL4 lt ~) (

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-S8shy

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JC(( 1-~s shy

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-S9shy

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(g middot1)

-42 shy


R=-o

r--shy

~A = - ~ ~ (~)(+A r~) J

(9-+ )q~b -= ~ rr J

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Qlj = ~ (~(~)(j - Ir~J -t2) ~O)~ bull (9l0)

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lt1tgt = ~ lt ~Ck) gt (()8 )

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Wu- se~ AA

lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

X~XL=- ~ uu) ~~~ ~ T~

(k) r (0 ~ lt~ gt LKJ -= 1 ~t~ - x~- ~ ) ~ (~~+-J J ~

= ~ (-~)- ct-s-(l(-~0 ( ~ ___ f ~(~x +- l1 110

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(ampl0 ~~

k ~~ ~s ) 6k~u- ~ ~h ~ )( (Ic)

~ ~


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-48shy






ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)


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--p =- rx e ~ (llgt -)


J)atAMJ- lAshy

-~-


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(12--b) V = 4tr~- I

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-S(shy

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Q - ll = Q )

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- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

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-s-~-

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2-+-E- e+shy


(A1-)4gt= -~ t o -t~~ ) xG-k)

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-ssshy

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(~ ~ouml1- tuL4 lt ~) (

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JC(( 1-~s shy

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(g middot1)

-42 shy


R=-o

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~A = - ~ ~ (~)(+A r~) J

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Qlj = ~ (~(~)(j - Ir~J -t2) ~O)~ bull (9l0)

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LY~-u oL L~lU~ )

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lt1tgt = ~ lt ~Ck) gt (()8 )

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Wu- se~ AA

lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

X~XL=- ~ uu) ~~~ ~ T~

(k) r (0 ~ lt~ gt LKJ -= 1 ~t~ - x~- ~ ) ~ (~~+-J J ~

= ~ (-~)- ct-s-(l(-~0 ( ~ ___ f ~(~x +- l1 110

3 l-ef) V l ) X ~x j Il - 00 -) ~

bull -- u



(ampl0 ~~

k ~~ ~s ) 6k~u- ~ ~h ~ )( (Ic)

~ ~


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-48shy






ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)


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--p =- rx e ~ (llgt -)


J)atAMJ- lAshy

-~-


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(12--b) V = 4tr~- I

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x

e - - - - - - - - - - - - - bull gt- Z

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-S(shy

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Q - ll = Q )

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- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

(~tlir) ~ -p CA~b)

~-f-L-----gt a


-s-~-

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2-+-E- e+shy


(A1-)4gt= -~ t o -t~~ ) xG-k)

lt2-+-2

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W-=- A~ ~ ~ Cf J V 6z-1)




-ssshy

~w-= ~ li~Qs) 4gt ~ ) J~


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(~ ~ouml1- tuL4 lt ~) (

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R=-o

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~ ~~~ ~a~ M~-~~ ~ ~~MQl~~~~ amp~) ~ ~



LY~-u oL L~lU~ )

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lt1tgt = ~ lt ~Ck) gt (()8 )

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Wu- se~ AA

lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

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(ampl0 ~~

k ~~ ~s ) 6k~u- ~ ~h ~ )( (Ic)

~ ~


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-48shy






ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)


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--p =- rx e ~ (llgt -)


J)atAMJ- lAshy

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(12--b) V = 4tr~- I

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Q - ll = Q )

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- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

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2-+-E- e+shy


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W-=- A~ ~ ~ Cf J V 6z-1)




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Wu- se~ AA

lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

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(ampl0 ~~

k ~~ ~s ) 6k~u- ~ ~h ~ )( (Ic)

~ ~


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-48shy






ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)


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--p =- rx e ~ (llgt -)


J)atAMJ- lAshy

-~-


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(12--b) V = 4tr~- I

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(A1-)4gt= -~ t o -t~~ ) xG-k)

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Wu- se~ AA

lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

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(ampl0 ~~

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(A1-)4gt= -~ t o -t~~ ) xG-k)

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lt1tgt = ~ lt ~Ck) gt (()8 )

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lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

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lt~(~ ()C) = ~ ~ (~ - X I) ~(~IJ cPx

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c( = S -120 - eWe-( k ~~~~~~e -P~ ~ bk J


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-48shy






ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)


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--p =- rx e ~ (llgt -)


J)atAMJ- lAshy

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~ (~2) ~-k- r-g1




ctc- ~ = 4lr( ~~ - ~u--p~ (lEgt4)


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--p =- rx e ~ (llgt -)


J)atAMJ- lAshy

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-S(shy

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Q - ll = Q )

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- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

(~tlir) ~ -p CA~b)

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-s-~-

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-ssshy

~w-= ~ li~Qs) 4gt ~ ) J~


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c( = S -120 - eWe-( k ~~~~~~e -P~ ~ bk J


JC(( 1-~s shy

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-~-


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(12--b) V = 4tr~- I

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~ LL) -=2l L -= - --I-~--

co~ 1lt1 ~=- 0 cof Rz) r-=O ~-+2)3--


Q - ll = Q )

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- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

(~tlir) ~ -p CA~b)

~-f-L-----gt a


-s-~-

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W-=- A~ ~ ~ Cf J V 6z-1)




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(~ ~ouml1- tuL4 lt ~) (

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c( = S -120 - eWe-( k ~~~~~~e -P~ ~ bk J


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Q - ll = Q )

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- (gttt~) = (~-~+ C~ (4) ) ~(bStI)- f k

(~tlir) ~ -p CA~b)

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~ (~2) ~-k- r-g1



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~ (~2) ~-k- r-g1



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