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QuimFisicaM [Manual Cinética]

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(18)

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(23)

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= ;;<G :9;E=<:HEBFE@ E+ F: B @ AL<=<E@ E 9:;: JAE : HEB =<G:GE @? EQ:

:LE :G: 9EB EF9 GE F< A;: G ;E: E@ E 4 :;: AF G:G = @QA@ GE

= @G<>VE <@<=<:< + FEGE& E <@ E;H:B GE EF9 5h 6 E@ ;E <@R=< G: ;E:>? E

:9:;E=<FE@ GE AF: = B ;:>? :MAB =:;:= E;R <=:+ = ;;E 9 @GE@ E p L ;F:>?

GE AF: JA:@ <G:GE L<P: GE < G 5hj k6 9EB: ;E:>? 5 6+ JAE N GE E;F<@:G: 9EB:

JA:@ <G:GE GE < ABL: A <B<M:G: @: ;E:>? 5 64 :P: GE L ;F:>? G < G N

(25)

AF<@G JAE : JA:@ <G:GE GE < ABL: A <B<M:G: : < L:M p = @G<>VE @E=E C;<: p FEG<G: G: HEB =<G:GE <@<=<:B+ EF& E!

1 4 5 6

F: HEM JAE ? LE< : HC;<: FEG<G: EF = @G<>VE <@<=<:< G<LE;E@ E + 9 ;NF

E F:@ E@G : JA:@ <G:GE GE < ABL: EF AF H:B ; L<P + EF& E JAE hj k N

FE F EF =:G: AF: G: FEG<G: + JAE ;E AB : EF!

1 & 4 5*6

AI < A<@G : EJA:>? 5*6 @: BE< GE HEB =<G:GE 5'6 E <;:@G B :;< F

@E9E;<:@ GE :FI FEFI; G: EJA:>? ;E AB :@ E+ I NF& E 5= @L<;FE

E E ;E AB :G 6!

B@ B@ B@ 1 B@ &

& + 5,6

EF JAE & Z B@5& 6 Z B@j : 'k4 + E L<ME;F AF ;CL<= GE B@5 h 6

B@j 1 k+ 9:;: j k = @ :@ E+ I E;EF AF: ;E : GE <@=B<@:>? < A:B :

+ E E L<ME;F AF ;CL<= GE B@5 h 6 B@j k+ 9:;: j 1 k = @ :@ E+

I E;EF AF: ;E : GE <@=B<@:>? < A:B : 4

G

":B? GE * F 3 ' ":BVE GE * F 3 "NJAE;E GE * F 3 ' "A;E : GE * F 3 <9E : H BAFN ;<=: GE * F 3 S;:3 E;F`FE ; 5 & W +* 63 "NJAE;E 5GE * A F 64

4 ;E9:;E : E A<@ E BA>VE !5g6

5:6 * F GE e 1 + 3

5I6 * F GE : + 3

5=6 * F GE : ' + 3

(26)

5E6 F GE AF: BA>? :JA : +* [ GE :F<G 45ggg6

5g6 0E;<L<JAE E E : BA>VE L ;:F 9;E9:;:G: :@ E=<9:G:FE@ E 9EB

N=@<= G B:I ;: D;< E E ? G< 9 @RHE< 9:;: A <FEG<: 4

5gg6 :;: 9;E9:;:; E : BA>? ;E <;E AF: :BRJA : GE ''' F G: BA>? 5I6 E

G< BH: 1+' 5 + * F B6 GE e @: FE F:4 ;:@ L<;: 9:;: AF I:B? GE

* F E = F9BE E H BAFE4

5ggg6 B JAE =E;=: GE +* GE :F<G EF AF :BF L:;<M+ :G<=< @E :B AF:

: GE C A: GE <B:G: E ;< A;E4 ;:@ L<;: E : 9: : GE :F<G 9:;: AF

INJAE; = @ E@G F GE C A: LE;HE@ E E GE<PE LE;HE; 9 ; F:< * F<@4

E<PE E L;<:;+ ;E <;E I;E@:G:@ E E E E :F<G = F BA>? GE e

5GEHE;C :9:;E=E; AF: = B ;:>? :MAB <@ E@ :64

4 AFE;E / 9:;E GE INJAE;E 5AF 9:; 9:;: =:G: FEG<G:6 E = B JAE :

JA:@ <G:GE E 9E=<L<=:G: @: = BA@: G: :IEB: :I:<P 5A <B<ME IA;E :

9:;: : BA>VE a:b+ aIb E a=b+ E AF: 9<9E : H BAFN ;<=: 9:;: : BA>?

aGb64 ; EPEF9B + @ INJAE; : = B JAE F G: BA>? GE e 1 E

F G: BA>? GE : + E@JA:@ JAE @ INJAE; I = B JAE * F G:

BA>? GE : ' E 1 F G: BA>? GE e 4 E JAE H BAFE :B EF

=:G: B<@O: G: :IEB: N EF9;E FE F 4

&'?6* M B H'I ' ; H+I &'?6* M X ' ; H6I ' H1I : I * : I 1 * ': 'I , * : , I * *: 1 *I * ,: , ,I * /: , /I *

4 B JAE GE ' : * : G: BA>? GE :F<G @ L;: = :4 F E A<G:+

F< A;E 9:; : I+ :=< @E =; @`FE ; <FEG<: :FE@ E :9D : F< A;:+

:@ E : EF9E;: A;: G: F< A;: ;E:=< @:B E EF9 @E=E C;< 9:;:

:9:;E=<FE@ G: = B ;:>? :MAB4 E9< : 9; =EG<FE@ 9:;: GEF:<

9:;E GE INJAE;E 4

4 (:>: G < ;CL<= + AF GE B@5 h 6 B@j 1 k 5: j k = @ :@ E6 E

A ; GE B@5 h 6 B@j k 5: j 1 k = @ :@ E64 <@=B<@:>VE G:

GA: ;E : L ;@E=E;? H:B ;E GE E + ;E 9E= <H:FE@ E4

4 I E@O: : = @ :@ E GE HEB =<G:GE 5@: EF9E;: A;: G EP9E;<FE@ 6 :

9:; <; G = EL<=<E@ E B<@E:; G: GA: ;E : 5HE; EJA:>? 5,6 :=<F:64

(27)

" 9

4 A:B : EJA:>? <`@<=: ELE <H: G: ;E:>? EP9;E : @: EJA:>? 5 6o

4 HEB =<G:GE <@<=<:B G: ;E:>? L < FEG<G: ;:I:BO:@G & E = F AF:

= @=E@ ;:>? I:<P: E = @OE=<G: GE R @ < ABL: 5 ' 6+ = F L ;F:>?

GE R @ E ;: < @: 5 , 64 ; JAE N <F9 ; :@ E JAE : = @=E@ ;:>? GE

R @ ' EQ: I:<P:o

'4 FN G ;:I:BO:G @E E EP9E;<FE@ = @ < E @: FEG<>? G:

HEB =<G:GE G: ;E:>? :9D AF 9E;R G GE EF9 =A; I: :@ E 9:;: JAE

: ;E:>? @? E@O: = ;;<G :9;E=<:HEBFE@ E+ F: B @ AL<=<E@ E 9:;:

JAE : HEB =<G:GE @? EQ: :LE :G: 9EB EF9 GE F< A;: G ;E: E@ E 4

AE = F9B<=:>VE E;R:F E E : ;E:>? L E F @< ;:G: 9 ; AF

9E;R G GE EF9 F:< B @ o

4 H:B ;E I <G ? : < L: D;< o

*4 A:< : 9 RHE< L @ E GE E;; A B<F< :>VE @E E EP9E;<FE@ o :;:

=:G: AF:+ E@ E G<ME; JAE ELE< EB: E;? @ ;E AB :G E 9E;:G G

EP9E;<FE@ 4 4 $ 0 + $4 (43 6. & . % .+ '+ ***+ 2,,4 4 $ \ + \4 f43 6. & . 7 .+ *1 + 2, 3 6. & . 7 .+ '+ 2 ,3 6. & . 7 .+ ,'+ 2'23 6. & . 7 .+ , + 2 4 '4 + 43 ;AE+ f4 43 6. & . 7 .+ /+ 2*24 4 f + 43 e %+ 4 043 6. 3 . & . 7 .+ * + ' + 2 243 6. 3 . & . 7 .+ * + 1+ 2 24 *4 $ \ + %4 43 % ) ( & (+ PL ;G @<HE; < _ ;E + 94 + 21*4

(28)

J

0

<

E E;F<@:; : = @ :@ E GE HEB =<G:GE G: ;E:>? GE :9 @<L<=:>? G

:=E : GE E <B: EF AF: GE E;F<@:G: EF9E;: A;: A <B<M:@G : N=@<=: GE

= @GA FE ;<:4

!8

;E:>? GE N E;E = F I: E L ; E N =O:F:G: GE :9 @<L<=:>? 4 E E

EP9E;<FE@ : ;E:>? GE :9 @<L<=:>? : E; E AG:G: N!

$' $* X : $ $' : X $* $+

: JA:B E AE AF: =<@N <=: GE E A@G: ;GEF!

= : $ 4 5 6

: ;E:>? 9 GE E; E A<G: 9 ; FEG<G: G: = @GA K@=<: EBN ;<=: G: BA>? +

AF: HEM JAE R @ $ ? 9; ;E <H:FE@ E AI < ARG 9 ; $' 5E E

TB <F 9 A< AF: F I<B<G:GE EBN ;<=: <@LE;< ; p G R @ O<G; P<B:64

@ EJAE@ EFE@ E+ : = @GA K@=<: G: BA>? GE=;E =E = F :H:@> G: ;E:>? 4

:;: : ;E:>? GE :9 @<L<=:>? G :=E : GE E <B:+ EF& E!

$' $* X $ $' X $* $ EF9

= $ = $

& &

@GE E ? : = @=E@ ;:>VE <@<=<:< GE :=E : GE E <B: E O<G;DP<G GE DG< +

;E 9E= <H:FE@ E+ E : = @=E@ ;:>? GE R @ :=E :G B<H;E EF BA>? 4 ; :@ +

: HEB =<G:GE G: ;E:>? 9 GE E; E =;< : @: L ;F: 5= F Z 6!

4 5 6

<@ E ;:>? GE : EJA:>? ;E AB : EF!

4 5'6

+ AF ;CL<= GE 5 & 6 L ;@E=E H:B ; G: = @ :@ E GE HEB =<G:GE

4 E@ :@ + = F 9 GEF ;EB:=< @:; : = @=E@ ;:>? = F : = @GA K@=<: G:

(29)

8 59+ FEG<G: EF <EFE@ + 6 N GEL<@<G: = F <@HE; G:

5 + FEG<G: EF OF + r64 0E;<L<=:& E EP9E;<FE@ :BFE@ E JAE :

= @GA K@=<: GE AF: :F ;: N 9; 9 ;=< @:B : C;E: G: E>? ;:@ HE; :B 53+

FEG<G: EF FE ; &JA:G;:G + F 6 E <@HE; :FE@ E 9; 9 ;=< @:B : EA

= F9;<FE@ 5:+ FEG<G FE ; + F6+ : = @ :@ E GE 9; 9 ;=< @:B<G:GE E@G

GE@ F<@:G: 5;+ FEG<G: EF <EFE@ 9 ; FE ; + sF& 6!

9 3

: - + = F!

-:

3 + 5 6

@GE - N : 5FEG<G: EF F& 3 E : = @ :@ E N =:;:= E;R <=: G:

=NBAB: EBE ; BR <=: @GE E L:M : FEG<G: E GEHE E; <@L ;F:G: 9EB L:I;<=:@ E G

EJA<9:FE@ + GE@ F<@:G 64 GF< <@G JAE R @ F< ;:F @:

BA>? GE L ;F: <@GE9E@GE@ E 5BE< G: F< ;:>? <@GE9E@GE@ E G R @ 6+ :

= @GA K@=<: G: BA>? N GEH<G: p F: G: = @GA K@=<: GE =:G: R @!

9

- f f - f f f

+ 5*6

@GE f N : = @=E@ ;:>? F B:; E f : 8 < / G: E 9N=<E

f+ ;E 9E= <H:FE@ E 59:;: R @ F @ H:BE@ E ! @ GE EJA<H:BE@ E Z @ GE F B 64

=: I E AG + EF& E!

9

- :X $& =& 9 - =& $& + 5,6

@GE 9 N : = @GA K@=<: @ EF9 E 9 : = @GA K@=<: <@<=<:B 5EF Z 6!

9

- :X $& 4 5/6

E H:B ; L<@:B G: = @=E@ ;:>? L ; 5EF q6+ 9 GE& E E =;EHE;!

9

- :X $& =& 9 - =& $& 4 516

; :@ ! 9 9 - $& =& 2 9 9 - $& =& 9 9 9 9 + 526

GE F G JAE : = @=E@ ;:>? 9 GE E; ;EB:=< @:G: = F : = @GA K@=<: 9 +

FEG<G: EF JA:BJAE; <@ :@ E GE EF9 4 + : EJA:>? 5'6 9 GE E; ;EE =;< :

@: L ;F: 5= F Z Z 6! 9 9 9 9 9 9 9 9 9 9 9 9 . 5 6

(30)

G

@GA RFE ; 3 ; @`FE ; 3

<9E : GE * F X <9E : GE * F 3

":BVE 0 BAFN ;<= * F X ":BVE 0 BAFN ;<= F 3

< :G ; F: @N <= 4

* F GE $' $* + F B X F GE $' $* + 3

* F GE : $ + F B X F GE : $ + 4

4 E<: F:@A:B GE <@ ;A>VE E B< AE = @GA RFE ; 4

4 ;E9:;E * F GE AF: BA>? GE :=E : GE E <B: + F B E * F

GE AF: BA>? GE : $ + F B 4

'4 ;E9:;E+ : 9:; <; GE G<BA<>? G: BA>VE :@ E;< ;E + F GE : $

+ E F GE :=E : GE E <B: + 4

4 <BA: * F GE : $ + F B 9:;: FE :GE G: = @=E@ ;:>? 4 <@=E :

=NBAB: GE = @GA <H<G:GE = F AF: :BRJA : G: BA>? G<BARG: E+ EF

E A<G:+ GE E;F<@E : = @GA K@=<: <@<=<:B 5GEH<G: : R @ :X E $ 64

j :! 0E;<L<JAE E H BAFE N AL<=<E@ E 9:;: = I;<; EBE ; G 4k

4 < A;E * F GE :=E : GE E <B: + F B E * F GE O<G;DP<G GE

DG< + F B 5H BAFE < A:< 6 E :=< @E =; @`FE ; 4 <@=E : =NBAB:

GE = @GA <H<G:GE = F AF: :BRJA : G: F< A;: ;E:=< @:B4 < E : F< A;:

;E:=< @:B = @ <@A:FE@ E E L:>: BE< A;: GE A: = @GA K@=<: E EF9E;: A;:

EF <@ E;H:B GE * F<@ : N : = @GA K@=<: L<JAE 9;: <=:FE@ E = @ :@ E 5:

FE@ 1 FEG<G: 64

'4 E9< : 9; =EG<FE@ = F : BA>VE GE :=E : GE E <B: + F B E

(31)

4 (:>: AF ;CL<= GE!

& 8 = & 8 & 8 5 6

E+ A <B<M:@G FN G G FR@<F JA:G;:G + ;:=E : FEBO ; ;E : E

E@= @ ;E : = @ :@ E GE HEB =<G:GE 4 = EL<=<E@ E B<@E:; GE : ;E :

L ;@E=E : = @GA K@=<: @ EF9 <@L<@< + E GEHE = ;;E 9 @GE; p

= @GA K@=<: I <G: :9D AF G<: GE ;E:>? 4 = @GA K@=<: <@<=<:B 9 GE E;

:9; P<F:G: 9EB: = @GA K@=<: G: BA>? GE : $ G<BARG: p FE :GE G:

= @=E@ ;:>? G: BA>? 9;E9:;:G: <@<=<:BFE@ E4

4 F9:;E EA ;E AB :G = F G: B< E;: A;: E G< =A :4

" 9

4 ; JAE L < @E=E C;< G<BA<; : BA>? GE O<G;DP<G GE DG< p FE :GE G:

= @=E@ ;:>? 9:;: E FEG<; : = @GA ?@=<: <@<=<:Bo

4 H:B ;E I <G ? : < L: D;< o

'4 A:< : 9 RHE< L @ E GE E;; A B<F< :>VE @E E EP9E;<FE@ o :;:

=:G: AF:+ E@ E G<ME; JAE ELE< EB: E;? @ ;E AB :G E 9E;:G G

EP9E;<FE@ 4

4 e+ 43 :QG:U;:Q@=+ 43 " . 6. & . - .+ + ,2 + 4

4 + (43 % ) ( & (+ ,: EG4+ F9:@_+ @=4+ E^

# ;U+ 94 '*4

'4 + e4 f43 & - + ': EG4+ 94 '& *4

(32)

J ;

. 8 (

<

E E;F<@:; : ;GEF E : = @ :@ E GE HEB =<G:GE G: ;E:>? G =;< :B

H< BE : = F O<G;DP<G GE DG< 9 ; L = B ;<FE ;<:4

!8

;E:>? : E; E AG:G: E@H BHE GA: E 9N=<E <`@<=: + AF: G: JA:< N

L ; EFE@ E = B ;<G: 5 =;< :B H< BE :+ 06+ E : A ;: <@= B ; 5 R @ O<G;DP<G +

$ 64 9; GA G: ;E:>? N <@= B ;+ GE L ;F: JAE+ : ;:HN GE FEG<G: G: 9E;G:

GE <@ E@ <G:GE GE = ; EF G<LE;E@ E <@ E;H:B GE EF9 + 9 GE& E =:B=AB:; :

= @ :@ E GE HEB =<G:GE G<;E :FE@ E+ : 9:; <; GE BE< A;: GE :I ;IK@=<:4

A;:@ E =A; G: ;E:>? + GE :9:;E=<FE@ G: L ;F: = B ;<G: E AE :

BE< =<@N <=:!

0

0 $& 4 5 6

E A <B<M:;F AF: = @=E@ ;:>? <@<=<:B G O<G;DP<G FA< F:< ; G JAE : = @=E@ ;:>? <@<=<:B G =;< :B H< BE :+ E@ ? JA:@G G = ;:@ E <HE; ;E: <G +

: = @=E@ ;:>? GE : $ 9E;F:@E=E;C 9;: <=:FE@ E : FE F: E : BE< GE

HEB =<G:GE 9: : : IEGE=E; :! 0

EL 0 2 = F! EL $

&

4 5 6

= @=E@ ;:>? G =;< :B H< BE : 9 GE E; F @< ;:G: : B @ G EF9

9 ; L = B ;<FE ;<:4 A:@G AF LE<PE GE ;:G<:>? F @ =; FC <=: : <@ E AF

= ;9 + E : 9 GE E; ;ELBE <G:+ E 9:BO:G:+ :I ;H<G: A ;:@ F< <G: EF L;E;

:B E;:>? 4 :I ;>? GE9E@GE G: @: A;EM: G FE< + G 9E;=A; D9 <= + G

= F9;<FE@ GE @G: G LD @ <@=<GE@ E E G: = @=E@ ;:>? G = F9

:I ;HE@ E 4 L;:>? GE E@E; <: ;:G<:@ E ;:@ F< <G: : ;:HN G: BA>? N :

8 5,6+ E N =:B=AB:G: : 9:; <; G: ;:M? E@ ;E : E@E; <: ;:G<:@ E

;:@ F< <G: 5" 6 E : <@=<GE@ E 5" 6!

, "

" 4 5'6

8 5,6 ;EB:=< @:& E = F : 8 536+ JAE E AE : BE< GE

:FIE; &"EE; 5EF AF: L:<P: GE = @=E@ ;:>VE 6!

B , 3 , 3 > + 5 6

@GE ε N : 2 N E N : # # 4

(33)

E := ;G = F : EJA:>? 5 6+ 9 GE& E GE E;F<@:; : ;GEF GE ;E:>?

EF ;EB:>? : =;< :B H< BE : : 9:; <; G :QA E G G:G EP9E;<FE@ :< GE

:I ;IK@=<: : AF: BE< GE HEB =<G:GE <@ E ;:G:4 :;: AF: BE< GE HEB =<G:GE GE

;GEF !

+ 5*6

@GE j k ;E9;E E@ : : = @=E@ ;:>? G ;E: E@ E + E@G E : 9; 9 ;=< @:B :

:I ;IK@=<: 3+ EF& E!5g6 + 5,6 Z ! 3 3 + 5/:6 Z ! B@ B@ 3 3 + 5/I6 Z ! 3 3 4 5/=6

5g6 *,' N E : EJA:>? : = @ :@ E ;E9;E E@ : : = @ :@ E ELE <H: G: EJA:>? 5 64

G

":BVE H BAFN ;<= GE * F 4 ":B? H BAFN ;<= GE F 3 ":BVE H BAFN ;<= GE * F 3 <9E : H BAFN ;<=: GE * F 3 <9E : H BAFN ;<=: GE F 3 9E= ; L `FE ; 3 ; @`FE ; 3 ;< :B 0< BE : 5 Z 1+ sF B 63 $<G;DP<G GE DG< 5 Z + sF B 64

(34)

4 E<: F:@A:B GE <@ ;A>VE E B< AE E 9E= ; L `FE ; 4

4 ;E9:;E AF: BA>? GE =;< :B H< BE : 9E :@G + 1 9:;: * F GE

BA>? + E =O:FE&: GE 45gg6 E AE AF: :BRJA : GE F GE : BA>? E

: ;:@ L<;: 9:;: AF I:B? GE * F + = F9BE :@G H BAFE = F C A:

GE <B:G:4 O:FE E : BA>? GE E : = @=E@ ;:>? G: FE F: GE 4

'4 :IEBE>: aI;:@= b G: :I ;IK@=<:4 :;: < + E@=O: : =AIE : = F C A:

GE <B:G:+ = B JAE&: @ E 9E= ; L `FE ; = F : 9:; E ;:@ 9:;E@ E

G< 9 : : B @ G LE<PE GE BAM+ LE=OE : :F9: G :9:;EBO E ME;E :

:I ;IK@=<:4

4 :IEBE>: aI;:@= b G: ;:@ F< K@=<:4 :;: < + = B JAE : =AIE : 9;E :

@ E 9E= ; L `FE ; + LE=OE : :F9: G :9:;EBO E ME;E : ;:@ F< K@=<:4

*4 :HE : =AIE : = F AF 9 A= G: BA>? E+ EF E A<G:+ E@=O:&: = F :

BA>? 4 B JAE : =AIE : @ E 9E= ; L `FE ; + LE=OE : :F9: G

:9:;EBO E E = BO: L<B ; GE = F9;<FE@ GE @G: JAE :9;E E@ :;

F:< ; H:B ; GE :I ;IK@=<: 5 A FE@ ; H:B ; GE ;:@ F< K@=<:64 E;E

<@ ;AFE@ = F I;:@= EF9;E JAE ; =:; GE L<B ; 4

,4 9D : E = BO: G = F9;<FE@ GE @G: :GEJA:G + GEHE& E = @ ;A<; :

=A;H: GE =:B<I;:>? G :9:;EBO + 9:;: =; FDL ; EF JAE ? 4 :;: :B+

9;E9:;E+ 9 ; G<BA<>? + : 9:; <; G: BA>? + BA>VE = F : E A<@ E

= @=E@ ;:>VE ! + '+ + *+ 1+ E 4 H BAFE GE

BA>? E C A: 9:;: : G<BA<>VE E AEF : 9; 9 ;>? <@G<=:G: : E A<;4

O O O; O= OB O P O P

*3:

$%' , 1 1 '1

*,'3 1 , 1 ,

/4 E>: : :I ;IK@=<: G: BA>VE + = FE>:@G = F : BA>? F:<

G<BARG: E L<@:B<M:@G = F : F:< = @=E@ ;:G:+ 9:;: = @ ;A<; : =A;H: GE

=:B<I;:>? + JAE GEHE <@=BA<; H:B ; G: :I ;IK@=<: G: BA>? GE

= @=E@ ;:>? + E GE E;F<@E : L:<P: GE B<@E:;<G:GE G: FE F:45ggg6

g5gg6 *,' N ? = @LA@G: : BA>? = F : :I ;IK@=<: <@<=<:B 3 t 5ggg6 *,' N <B<ME E A<@ E G:G GE AF: =:B<I;:>? 9;NH<:!

*(6#(,&')4* Q/*3R S +?*&+T(6.' Q .3,&* =B= (/S

+//, +'2 ' + ' + 2 * + ', 1 + 11 + , + ''

(35)

4 ;:@ L<;: AF: :BRJA : GE * F G: BA>? 9:;: AF I:B? GE * F +

= F9BE :@G H BAFE = F C A: GE <B:G:4 O:FE E : BA>? GE 4

4 ;E9:;E F GE BA>? GE : $ + 4 E AE AF: :BRJA : GE * F E

F GE : BA>? E ;:@ L<;: 9:;: G < I:BVE GE * F + = F9BE :@G

H BAFE = F C A: GE <B:G:4 O:FE E : BA>VE GE " E " + ;E 9E= <H:&

FE@ E4

'4 E@G <G E = BO<G L<B ; GE ;:I:BO + = B JAE+ EF AF INJAE;+ F

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1 O4

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(38)

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(40)

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(42)

FN G GE B C + JAE A <B<M: L: GE JAE <@HE; G: EJA:>? 5'6 = ;;E 9 @GE : EJA:>? GE AF: ;E : 5L< A;: 6!

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(43)

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GE @G: FCP<F GE :I ;>? G: JA<@ @: 5 F:P Z *1 @F64 :;: 9E;:;

(44)

4 B JAE +* F GE =: E= B + * F B & E +* F GE C A: EF AF: =AIE :4

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(45)

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(46)

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'4 HEB =<G:GE GE :G ;>? N 9; 9 ;=< @:B p = @=E@ ;:>? E p L;:>? GE

R < H: 5 &D63

4 HEB =<G:GE GE GE ;>? N 9; 9 ;=< @:B p L;:>? GE R < =A9:G D4

EH:@G EF = @ : E : O<9D E E + =OE :& E p E A<@ E < E;F:!

-- 4 5 6

;:A GE ;E= I;<FE@ D 9 GE E; I <G G: ;EB:>? E@ ;E @TFE; GE F B

:G ;H<G 9 ; ;:F: GE :G ;HE@ E 5E6 E : H:B ; EJA<H:BE@ E FCP<F 5EF:P+

= ;;E 9 @GE@ E : ;E= I;<FE@ GE AF: F @ =:F:G:6!

E

EF:P E -EF:P EF:P 4 5 6

E : L ;F:+ E : < E;F: GE :@ FA<; L ; : < LE< :+ AF ;CL<= GE E

(47)

A ;: E@ : <H: GE E E@ :; GE =;EHE; F: EF: <=:FE@ E : < E;F: GE

:G ;>? E GEHE : (;EAGB<=O+ JA:B = @ : A : E A<@ E ;EB:>? EF9R;<=: E@ ;E

@TFE; GE F B :G ;H<G 9 ; ;:F: GE :G ;HE@ E 5E6 E : = @=E@ ;:>? G

:G ;H: 5 6!

E 4 5'6

E : EJA:>? + E ? GA: = @ :@ E EF9R;<=: 4 9B<=:@G B :;< F

@E9E;<:@ : :FI FEFI; G: EJA:>? 5 6 I NF& E!

B@E B@ B@ 4 5 6

E : L ;F:+ E : < E;F: GE (;EAGB<=O L ; : < LE< :+ AF ;CL<= GE B@ E

B@ ;E AB :;C EF AF: ;E : GE <@=B<@:>? 4

G

<9E : ;:GA:G: GE F 3 <9E : H BAFN ;<=: GE * F 3 <9E : H BAFN ;<=: GE F 3 <9E : H BAFN ;<=: GE * F 3 "A;E : GE * F 3 "A;E : GE * F 3 ":B? H BAFN ;<= GE * F 3 ":B? H BAFN ;<= GE * F 3 , ;BE@FE_E; GE * F = F :F9:3 , ;BE@FE_E; GE * F 3 9C AB: 3 , (A@< = F A9 ; E3

(A@<B = F O: E GE ;:@GE G<KFE ; 3 ": ? GE H<G; 3 :9EB GE L<B ; JA:@ < : <H 3 (E@ BL :BER@:3 =<G =N <= %B:=<:B3 $<G;DP<G GE DG< 3 :;H? <H:G 4

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