mathematical modeling of coalescence

8/20/2019 Mathematical Modeling of Coalescence

1/76

June 2008

Kjell Erik Rian, EPT

Master of Science in Energy and EnvironmentSubmission date:

Supervisor:

Norwegian University of Science and Technology

Department of Energy and Process Engineering

Mathematical Modeling of Coalescenceof Oil Droplets in Water Flow

Eirik Kufås


2/76


3/76

Problem DescriptionThrough this Master's thesis the goal is to study mathematical models for coalescence of oil

droplets in a water flow. The industrial basis for this project is the need for a mathematical model

that can be applied in CFD simulations for the optimization of swirl-based coalescers.The project will be carried out in close cooperation with Aker Process Systems AS, Division of

Advanced Separation.

The following tasks should be considered in the project work:

1. Carry out a literature review on liquid-liquid coalescence with special focus on oil droplet

coalescence in a continuous water phase. Give a thorough discussion of the problem.

2. Formulate a mathematical model for coalescence of oil droplets in a water flow.

3. In cooperation with the advisors, select a suitable numerical simulation tool to study

coalescence of oil droplets in a water flow. Give a description of the relevant parts of this programsystem.Perform relevant numerical simulations and discuss the results thoroughly.

4. If necessary, suggest further improvements of the mathematical model.

Assignment given: 01. February 2008

Supervisor: Kjell Erik Rian, EPT


4/76


5/76

"

!"#$%&%'()*

# $%&%'( )%*+,&% -$,- -$". /,.-%&0. -$%.". ". 1&%1,&%) "2)%1%2)%2-+( ,2),**3&)"24 -3 -$% &5+%. ,2) &%45+,-"32. 36 7879 ,. :%++ ,. 1,..";% )"&%*-"32.4";%2 '( -$% 2%&4( ,2) ?&3*%.. >24"2%%&"24@

A.+3 BCDEFDEG

HHHHHHHHHHHHHHHHHHHHHHHHHHHH>"&"I J56K.


6/76

""

,&"-%#"

8$". /,.-%&0. -$%.". ". *,&&"%) 35- ,- -$% 2%&4( ,2) ?&3*%..>24"2%%&"24L 7879 )5&"24 -$% .1&"24 BEEG@ 8$% 1&3M%*- ". *,&&"%) 35- "2*331%&,-"32 :"-$ NI%& ?&3*%.. O(.-%=. NOL


7/76

"""

./0'&%#'

U"V5")W+"V5") *3,+%.*%&. ,&% )%;"*%. 5.%) 63& "2*&%,."24 -$% )&31+%- ."X% 36 -$%)".1%&.%) 1$,.% "2 *32-"2535. 1$,.% 6+3:L .5*$ ,. 3"+ )&31+%-. "2 :,-%& 6+3:@ 8$%%66"*"%2*( 36 .%1,&,-"32 -%*$23+34"%. ". .-&324+( )%1%2)%2- 32 -$% )&31+%- ."X%L:$"*$ ". )%."&,'+% -3 .$"6- "2-3 +,&4%& )&31+%- )",=%-%&.@ 8$%3&( '%$"2)*3,+%.*%2*% ,2) "-. =3)%+"24 ". .-5)"%) "2 -$". /,.%&0. -$%.".@ NI%& ?&3*%..O(.-%=. NOL


8/76

";

1%/$" )- 2)*'"*'0

!"#$%&%'()* 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 4

,&"-%#"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 ((

./0'&%#' 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (((

5(0' )- 6(78&"0 33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 9(

5(0' )- 1%/$"0 33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 9((

:);"*#$%'8&" 33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 9(((

4 V5,-"32. 63& -$% R32-"2535. ?$,.% @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ ]] !"#"$ %&'' )*+',-.&/0*+ 123&/0*+ 4)*+/0+30/5 123&/0*+6""""""""""""""""""""""""""""""""""""""""""""""""""""""""$$ !"#"# %*7,+/37 )*+',-.&/0*+ 123&/0*+ """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""$# !"#"! 1+,-85 )*+',-.&/0*+ 123&/0*+ """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""$#

^@^ Q"2"-%WT3+5=% /%-$3)@@@@@@@@@@@@@@@@@@ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ ]B !"!"$ 9:&/0&; &/0*+ """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""$@ !"!"! A'',7B;5 *C /D,


9/76

;

[@B b%2%&,+ N..5=1-"32. 63& -$% /3)%+ 36 -$% R8R@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ Bc [@^ O%-W51 36 -$% R8R /3)%+ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ ^E

@"!"$ L,+,-&; &/0*+ *C /D, %*E,;""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""!$

[@` S3: -$% O"=5+,-"32. ,&% R,&&"%) A5- @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ ^]

@"M"$ N+.,'/08&/,E A':,=/' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""!# L M"08$'0 %*= !(0#800()*333333333333333333333333333333333333333333333333333333333333333333333333333333333333 AI F@] T,+")"-( 36 -$% /3)%+ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ @@@@@@@@@@ ^[

F"$"$ L-0E N+E,:,+E,+=5"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""!@ F"$"# )*+.,-8,+=, *C G,'0E3&;' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""!F F"$"! %&'' O;*P Q&;&+=, """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""!R F"$"M ?07, N+E,:,+E,+=5 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""!S

F@B #=1,*- 36 R$,24"24


10/76

;"

5(0' )- 6(78&"0

Q"4@ B@]d


11/76

;""

5(0' )- 1%/$"0

8,'+% [@]d A;%&;"%: 36 -$% ;,&",'+% 1,&,=%-%&. "2 -$% "2;%.-"4,-"32.@@@@@@@@@@@@@@@@@@@@@ ^B8,'+% F@]d R3=1,&".32 '%-:%%2 ."e =%.$%. :"-$ )"66%&%2- *%++ ."X%.@ @@@@@@@@@@@@@@@@@@@@@@ ^F8,'+% F@Bd /,.. 6+3: ',+,2*% &,-"3 63& ,++ ."=5+,-"32.@ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ ^G8,'+% F@^d P%.5+-. 36 &522"24 -$% -%.- *,.% 52-"+ F .%*32).@ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@^G8,'+% F@`d ?%&63&=,2*% 1,&,=%-%&. 63& )"66%&%2- -(1%. 36 )&31+%- +"V5")@@@@@@@@@@@@@@@`[8,'+% N@]d ?&%.%2-,-"32 36 ,++ ."=5+,-"32.@ ggggggggggggggggggg@@@@@ ̀ c

8,'+% N@Bd /,-%&",+ 1&31%&-"%. 63& -$% )"66%&%2- -(1%. 36 )&31+%- +"V5").gggg@ ̀ c8,'+% a@]d O%--"24. 63& -$% ."=5+,-"32. 36 -$% :,-%& 1$,.% "2 QU9>78@ gggg@@@ []8,'+% a@Bd O%--"24. 63& -$% .3+5-"32 *32-&3+. "2 QU9>78@ gggggggggggg@@ [B8,'+% a@^d O%--"24. 5.%) "2 -$%


12/76

;"""

:);"*#$%'8&"

Z&""G J@;/)$0

! 8$%&=,+ )"665.";"-(

! : 92)%&W&%+,e,-"32 6,*-3& 63& 1&%..5&%

"


13/76

"e

" " N;%&,4%) .V5,&% 36 -$% &%+,-";% ;%+3*"-( '%-:%%2 )&31+%- ,2) 6+5")!

" T%+3*"-( ;%*-3&Y =*; R3++"."32 ;3+5=% [ #=1,*- 1,&,=%-%& \


14/76


15/76

]

4


16/76

] #2-&3)5*-"32B

#2 -5&'5+%2- )".1%&."32.L '3-$ '&%,I51 ,2) *3,+%.*%2*% 5.5,++( -,I% 1+,*%

*32-"2535.+(L ,2) -$%.% 1&3*%..%. :"++ )%-%&="2% -$% 6"2,+ )&31+%- ."X%)".-&"'5-"32@

43A

.(; )- '?" ,&"0"*' P)&G8$% =,"2 15&13.% 36 -$". -$%.". ". -3 )%.*&"'% ,2) )".*5.. -$% -$%3&%-"*,+',*I4&352) 63& +"V5")W+"V5") *3,+%.*%2*%L :"-$ .1%*",+ 63*5. 32 *3,+%.*%2*% 36 3"+)&31+%-. "2 , *32-"255= :,-%& 1$,.%L ,2) -$%2 63&=5+,-% , =,-$%=,-"*,+ =3)%+

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

`Z@ N *$,1-%& :"-$ *3=15-,-"32,+ =%-$3)3+34( ,2) )%.*&"1-"32 36 -$%."=5+,-"32. ". 4";%2 '%63&% &%.5+-. ,&% 1&%.%2-%) ,2) )".*5..%)@ O3=%

&%*3==%2),-"32. ,'35- 65&-$%& :3&I ,&% ,+.3 4";%2@ N11%2)"*%. ,2) +".- 36&%6%&%2*%. ,&% 4";%2 "2 -$% %2)@


17/76

^

> ,?@0(#%$ 1?")&@

>34

2)%$"0#"*#" %0 % ,?"*);"*)*N2( =5+-"1$,.% 1&3*%.. "2;3+;%. , =5+-"-5)% 36 "2-%&,*-"32.L ,2) -$%.%"2-%&,*-"32. =,( "2;3+;% *3++"."32. '%-:%%2 )&31+%-. ,2) 1,&-"*+%.@ R3,+%.*%2*%3**5&. :$%2 -:3 3& =3&% .5*$ 1,&-"*+%. *3++")% ,2) ,&% "2 *32-,*- +324 %2354$@8$% *3++"."32 ". *,5.%) '( .1,-",+ ;%+3*"-( )"66%&%2*%. '%-:%%2 1,&-"*+%.@ 8$%;%+3*"-( )"66%&%2*%. =,( '% *,5.%) '( .%;%&,+ 6,*-3&.@ ?&"2*% f a+,2*$ Y]ccEZ=%2-"32 -$&%% =%*$,2".=. -$,- *,2 +%,) -3 *3++"."32d

• 85&'5+%2*%d 8$% +%24-$ .*,+% 36 -$% -5&'5+%2- %))"%. -$,- *,5.%. &%+,-";%;%+3*"-( )"66%&%2*%. '%-:%%2 1,&-"*+%. =5.- '% "2 -$% 3&)%& 36 -$%

)",=%-%& 36 -$% 1,&-"*+%@ #6 -$% %))"%. ,&% -33 .=,++L -$%( :"++ 23- *32-,"2%2354$ %2%&4( -3 ,66%*- -$% 1,&-"*+% =3-"32@ A2 -$% 3-$%& $,2)L "6 -$%

%))"%. ,&% =5*$ +,&4%& -$,2 -$% ."X% 36 -$% 1,&-"*+%L %2.%='+%. 36 1,&-"*+%.,&% -&,2.13&-%) -34%-$%& ,2) )3 23- ,66%*- -$% &%+,-";% =3-"32 '%-:%%2-$%=@


18/76

B ?$(."*,+ 8$%3&(`

Z,B,- +37B,-]

"# =! $

%&'#(

"

" YB@]Z


19/76

B ?$(."*,+ 8$%3&( [

.3=% =,.. -3 -$% .=,++ )&31 .5*$ -$,- -$% .=,++ )&31 '%*3=%. -$% +,&4%.- ,6-%&

-$% *3++"."32@

#2 .-&%-*$"24 .%1,&,-"32 32+( , 1,&- 36 %,*$ )&31 ". "2 )"&%*- *32-,*- :"-$ %,*$3-$%&@ 8$% &%.- 36 -$% )&31. -%2) -3 *32-"25% -3 6+3: "2 -$%"& "2"-",+ )"&%*-"32 YQ"4@

B@^Z@ N. , *32.%V5%2*%L -$% &%4"32 36 "2-%&,*-"32 '%-:%%2 -$% -:3 )&31. "..-&%-*$%)@ 8$5.L -$%&% ,&% -:3 *3=1%-"24 63&*%. "2;3+;%) "2 -$% *3++"."32d -$%.5&6,*% -%2."32 "2 -$% &%4"32 36 "2-%&,*-"32L :$"*$ ". $3+)"24 -$% )&31. -34%-$%&

Y)&,"2"24ZL ,2) -$% I"2%-"* %2%&4( 36 -$% "2"-",+ )&31.L :$"*$ ". .-&%-*$"24 -$%)&31. ,2) .%1,&,-"24 -$%=@ Q3& )&31. 36 )"66%&%2- ."X%. -$% -:3 *3=1%-"24 63&*%.:"++ )%-%&="2% -$% ."X% 36 -$% )&31. ,6-%& -$% *3++"."32@ 8$% .-&%-*$"24 %66%*- :"++

*,5.% =,.. -&,2.6%& 6&3= -$% .=,++ )&31 -3 -$% +,&4% )&31L ,. 63& -$% &%6+%e";%.%1,&,-"32L '5- -$% )&,"2,4% %66%*- :"++ =,I% -$% .=,++ )&31 .*331 35- .3=% 36

-$% =,.. 36 -$% +,&4% )&31 '%*,5.% 36 +3:%& "2-%&2,+ 1&%..5&% "2.")% -$% +,&4%)&31 *3=1,&%) -3 -$% .=,++ )&31@

O08" #"#] ^,&EH*+ =*;;0'0*+ B,/P,,+ /P* :&-/0=;,' 4-,C;,[0., ',:&-&/0*+6"

O08" #"!] )*;;0'0*+ P0/D :&-/0&; -,80*+ *C 0+/,-&=/0*+ 4'/-,/=D0+8 ',:&-&/0*+6"

#2 '3-$ *,.%. 36 .%1,&,-"32L -$% 35-*3=% =,( 5.5,++( &%.5+- "2 .%;%&,+ .,-%++"-%)&31.@ 8$,- =%,2. -$,- -$% -:3 *3++")"24 1,&-"*+%. :"++ 1&3)5*% -:3 2%:1,&-"*+%.L '5- ,+.3 .%;%&,+ .=,++%& 1,&-"*+%. :"++ ,&".% YQ"4@ B@`Z


20/76

B ?$(."*,+ 8$%3&(F

O08" #"M]


21/76

B ?$(."*,+ 8$%3&( C

O08" #"@] G,80*+' C*- =*&;,'=,+=, &+E ',:&-&/0*+'4A'D8-0> ̀ J**V $IIK6"

N. 32% *,2 .%% 6&3= -$% &%.5+-.L -$% 1&3','"+"-( 63& *3,+%.*%2*% ,6-%& , *3++"."32 ".+,&4%.- 63& '3-$ +3: _%'%& 25='%&. ,2) 63& +3: ;,+5%. 63& -$% "=1,*-1,&,=%-%&@

N *+3.%& .-5)( 32 -$% %66%*-. 36 P%(23+). 25='%&L "=1,*- ;%+3*"-(L )&31 ."X% &,-"3,2) "2-%&2,+ *"&*5+,-"32 32 -$% *3++"."32 ,2) *3,+%.*%2*% 1&3*%.. ". )32% '(/,.$,(%IL N.$4&"XL /"2I3:(*XL f O$3-3&',2 YBEE^Z@

>3A

F&"%GH8D %0 % ,?"*);"*)*

N. 63& *3++"."32 '%-:%%2 1,&-"*+%.L '&%,IW51 3**5&. "2 ,++ I"2). 36 =5+-"1$,.%

6+3:.@ a&%,IW51 36 '5''+%. ,2) )&31. ". 4%2%&,++( *,5.%) '( 32% 36 -$% 63++3:"24=%*$,2".=. Y


22/76

B ?$(."*,+ 8$%3&(G

)%63&=%) +3*,++( .3 '5+4%. 3**5& ,2) 1,&-. 36 -$% )&31+%- '%*3=% '3)"+(

.%1,&,-%)@ 8$% -$&%% -(1%. 36 )%63&=,-"32 ,&% .$3:2 "2 Q"4@ B@F@

O08" #"F] Q&'0= /5:,' *C E-*:;,/ E,C*-7&/0*+ 4^0+>,V $I@@6"

N+.3 63& '&%,IW51 -$% )"=%2."32+%.. _%'%& 25='%& ". 5.%) -3 *$,&,*-%&"X% -$%

*&"-%&"32 63& '&%,IW51@ Q3& .$%,& 6+3:. -$". )"=%2."32+%.. _%'%& 25='%& ".4";%2 '(d

" #$=

! %&'

"

" YB@[Z

" " ". -$% ,;%&,4% 36 -$% .V5,&% 36 -$% &%+,-";% ;%+3*"-( '%-:%%2 -$% 1,&-"*+% ,2)

-$% .5&&352)"24 *32-"2535. 1$,.% ,*&3.. -$% 6+3: 6"%+)@ E ". -$% 1,&-"*+%

)",=%-%&L % = ". -$% )%2."-( 36 -$% *32-"2535. 1$,.% ,2) & ". -$% .5&6,*% -%2."32 36

-$% .(.-%=@ N**3&)"24 -3 S"2X% Y]c[[Z -$% *&"-"*,+ ;,+5% 36 -$". 25='%& )%1%2).

32 '3-$ -$% ;".*3."-( 25='%& 36 -$% )".1%&.%) 1$,.% ,2) 32 $3: -$% &%+,-";%;%+3*"-( ;,&"%. :"-$ -"=%@ 8$% )"=%2."32+%.. ;".*3."-( 25='%& -$,- *$,&,*-%&"X%.-$% ;".*3."-( 36 -$% )".1%&.%) 1$,.% ". 4";%2 '(d

" #$=

µ %

! % " %

YB@FZ

S%&%L µ E ". -$% ;".*3."-( 36 -$% )".1%&.%) 1$,.%@ U,'3&,-3&( %e1%&"=%2-. ,2)

-$%3&%-"*,+ *32.")%&,-"32. '( S"2X% Y]c[[Z .$3: -$,- -$% *&"-"*,+ _%'%& 25='%&63& '&%,IW51 -3 $,11%2L 4X Z, 6=-0/ L "2*&%,.%. :"-$ "2*&%,."24 X Y0@ #2)%6"2"-%+(

"2*&%,.% 36 X Y0 +%,). -3 YX Z, 6=-0/ !"L "@%@ 23 '&%,IW51@

Q3& -5&'5+%2- 6+3:. -5&'5+%2- %))( ;%+3*"-"%. +3*,++( 43;%&2 -$% '&%,IW511$%23=%232@ 8$%.% )(2,="* 1&%..5&% 63&*%. ,&% *,5.%) '( *$,24%. "2 -$%;%+3*"-( 3;%& )".-,2*%. -(1"*,++( 36 -$% .,=% 3&)%& ,. -$% 1,&-"*+% )",=%-%&L "@%@=5*$ .=,++%& -$,2 -$% ;".*35. .$%,&"24 ,*-"32 "2*+5)%.@ a&%,IW51 3**5&. :$%2-$% +3*,+ .$%,& .-&%.. 4%2%&,-%) '( .5*$ %))"%. ". +,&4%& -$,2 .5&6,*% -%2."32

63&*%@ 8$% +3*,+ -5&'5+%2- .$%,& .-&%.. ". )%6"2%) '( "#$! "#"

$L :$%&% "!" ". -$%

,;%&,4% ;,+5% 36 -$% ;%+3*"-( 6+5*-5,-"32. .V5,&%)@ 8$". ,;%&,4% ;,+5% *,2 '%&%+,-%) -3 -$% 1,&-"*+% )",=%-%& "2 3&)%& -3 3'-,"2 -$% *&"-"*,+ ;,+5%L E =-0/ L ,'3;%

:$"*$ '&%,IW51 3**5&.@ _$%2 5."24 -$". =%-$3)L S"2X% Y]c[[Z 6352) -$%63++3:"24 &%+,-"32 '%-:%%2 E =-0/ ,2) -$% -5&'5+%2*% %2%&4( )".."1,-"32 &,-%L ( d


23/76

B ?$(."*,+ 8$%3&( c

" #$%&

! "

#

$

% & '

( )

"

#

*

+$# YB@CZ

A2+( %))"%. 36 -$% .,=% ."X% ,. -$% 1,&-"*+% *,2 +%,) -3 '&%,IW51@ O=,++%& %))"%.)3 23- *32-,"2 %2354$ %2%&4( -3 '&%,I -$% 1,&-"*+%L :$"+% +,&4%& %))"%. M5.- =3;%

-$% 1,&-"*+%L '5- ,&% 23- '&%,I"24 "- 51@ _$%2 '&%,IW51 3**5&.L 1,&-"*+%. =,('&%,I 51 "2-3 , :")% &,24% 36 ."X%.@

#2 -$% *,.% 36 $()&3)(2,="* "2.-,'"+"-"%. ,- -$% .5&6,*% 36 -$% 1,&-"*+%L "- =,('&%,IW51 ,. , *32.%V5%2*% 36 -$% "2*&%,."24 .*&3++ 1,--%&2 32 -$% .5&6,*%@ 8$".

.*&3++ 1,--%&2 *,2 %e".- ,. 32% 36 -$% -:3 6,=35. $()&3)(2,="* "2.-,'"+"-"%.d -$%J%+;"2WS%+=$3+-X ,2) -$% P,(+%"4$W8,(+3& "2.-,'"+"-( YQ"4@ B@C ,2) Q"4@ B@GZ@ 8$%J%+;"2WS%+=$3+-X "2.-,'"+"-( 3**5&. :$%2 -:3 1,&,++%+ .-&%,=. 36 )"66%&%2-

;%+3*"-"%. -$,- ,&% ,)M,*%2- -3 %,*$ 3-$%& '%*3=% 52.-,'+% )5% -3 1%&-5&',-"32.@P,(+%"4$W8,(+3& "2.-,'"+"-( 3**5&. :$%2 -:3 6+5"). 36 )"66%&%2- )%2."-"%. "2-%&,*-

.5*$ -$,- , )%2.%L $%,;( 6+5") ,**%+%&,-%. , +"4$- 6+5")@

O08" #"R] 9=-*;; :&//,-+ *C /D, _,;.0+H^,;7D*;/> 0+'/&B0;0/5 4


24/76

B ?$(."*,+ 8$%3&(]E


25/76

]]

A

26! B)="$(*7 )- '?" 2)*'(*8)80 ,?%0"

A34


26/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.%]B

9 7 ". -$% =,.. ,))%) -3 -$% *32-"2535. 1$,.% 6&3= ,2 %;%2-5,++( )".1%&.%)

.%*32) 1$,.%@ #2 -$% 1&%.%2- .-5)( -$". .%*32) 1$,.% ". -$% +"V5") 3"+ "2 :,-%&1$,.%@ 8$% *32-"25"-( %V5,-"32 *,2L 63& "2*3=1&%.."'+% 6+3:.L '% ."=1+"6"%) -3d

!" !

" = # $

Y^@BZ

A3>3> B);"*'8; 2)*0"&9%'()* WU8%'()*

8$% 4%2%&,+ 63&= 36 -$% =3=%2-5= *32.%&;,-"32 ". 4";%2 '(d

!

! " " !

#( ) +# " !

#!

#( ) = $# $ +#% & ( ) + " !

% +!

& Y^@^Z

!

" ". %e-%&2,+ '3)( 63&*%. :$"+% ! ". -$% .-&%.. -%2.3&d

! = µ "!

" + "!

"( )# #

$

%

& '"

#

"( !

" $ )

* +

,

- . Y^@`Z

A3>3A W*"&7@ 2)*0"&9%'()* WU8%'()*

8$% 4%2%&,+ 63&= 36 -$% %2%&4( *32.%&;,-"32 %V5,-"32 63& "2*3=1&%.."'+% 6+3:*,2 '% 4";%2 ,.d

! "

! # + "# "

!

$( )= "# $ "" ( )+"

% %$

& #"( ) # !

$ Y^@[Z

S%&%L ! ="

" #$

". -$% -$%&=,+ )"665.";"-(@ 8$% %2%&4( %V5,-"32 Y>V@ Y^@[ZZ 63&

"2*3=1&%.."'+% 6+3:. ". )%*351+%) 6&3= -$% 7,;"%&WO-3I%. %V5,-"32. Y>V@ Y^@BZW

Y^@^ZZ@ 8$". =%,2. -$,- >V@ Y^@BZWY^@^Z ,&% .3+;%) 6"&.- 63&!

" ,2) : ,2) -$%2 >V@Y^@[Z 63& ? @

A3A

6(*('"HX)$8;" B"'?)=

QU9>78 5.%. -$% Q"2"-%WT3+5=% /%-$3) YQT/Z -3 )".*&%-"X% ,2) .3+;% -$%43;%&2"24 %V5,-"32. 63& -$% *32-"2535. 1$,.%@ 8$". =%-$3) *32.".-. 36 -$&%%.-%1.d

• #2-%4&,-"32 36 -$% 43;%&2"24 %V5,-"32. 3;%& ,++ -$% *32-&3+ ;3+5=%. 36 -$%)3=,"2@

•


27/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.% ]^

"#$% &' ()#*+%

&' ! ,* $)%

(&*$-&. /&.01%

2,$) -%34%($ $&

$,1%

"

#

$ $ $ $ $ $

%

&

' ' ' ' ' '

= (

5%$ -#$% &'

6%(-%#3% &' !

60% $& (&*/%($,&*

,*$& $)%

(&*$-&. /&.01%

"

#

$ $ $ $ $ $

%

&

' ' ' ' ' '

+

5%$ -#$% &'

,*(-%#3% &' !

60% $& 6,''03,&*

,*$& $)%

(&*$-&. /&.01%

"

#

$ $ $ $ $ $

%

&

' ' ' ' ' '

+

5%$ -#$% &'

(-%#$,&* &' !

,*3,6% $)%

(&*$-&.

/&.01%

"

#

$ $ $ $ $ $

%

&

' ' ' ' ' '

8$% *3&&%.132)"24 %V5,-"32 -3 -$". %e1&%.."32 ". 4";%2 '(d

!

! " "# ( )= $%& "

!

## ( )+% & ' & %# ( ) + $ # Y^@FZ

# ". , )"665."32 *3%66"*"%2- ,2) 9 ' ". , .35&*% -%&=@ Q3& ."=1+"*"-( -$% 63++3:"24

1&%.%2-,-"32 36 -$% QT/ 63& -$% 4%2%&,+ -&,2.13&- %V5,-"32 :"++ '% -&%,-%) ,.

32%W)"=%2."32,+ ,2) :"-$35- .35&*% -%&=. Y>V@ Y^@CZZ@

!

! " "# ( )= $

#

#$ " %# ( )+

#

#$ % # #

#$

&

' ( )

* + Y^@CZ

8$". %V5,-"32 *,2 '% 65&-$%& ."=1+"6"%) '( ,..5="24 .-%,)( .-,-% *32)"-"32.d

"

"# ! $" ( ) =

"

"# # " "

"#

$

% & '

( ) Y^@GZ

A3A34 JD%'(%$ !(0#&"'(Y%'()*

N. =%2-"32%)L -$% 1&"2*"1+% 36 -$% QT/ ". -3 )".*&%-"X% -$% "2-%4&,+ 63&= 36 -$%43;%&2"24 %V5,-"32.@ 8$% "2-%4&,+ 63&= 36 -$% .-%,)( .-,-% 4%2%&,+ -&,2.13&-

%V5,-"32 :"-$35- .35&*% -%&=. 63& ,2 "2-%&;,+ [P L,] "2 32% )"=%2."32 ". 4";%2 "2

>V@ Y^@cZ@ N .I%-*$ 36 -$% ,*-5,+ 23)% ,2) "-. *32-&3+ ;3+5=% ". 4";%2 "2 Q"4@ ^@]@

O08" !"$] A =*+/-*; .*;37, &-*3+E +*E, J"

! "#" ( )$

# ! "#" ( )%

= $ #& "

&'

%

&

' (

)

* $

# $ #& "

&'

%

&

' (

)

* %

Y^@cZ

_ >: %?

! "

"

! "

"

! "


28/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.%]`

A ". -$% ,&%, 63& -$% *32-&3+ ;3+5=% 6,*%.h "- ". ,..5=%) -3 '% %V5,+ 63& ,++ 6,*%.@

#2 3&)%& -3 3'-,"2 )".*&%-"X%) %V5,-"32. 63& -$% 1&3'+%=L -$% -%&=. "2 >V@ Y^@cZ

=5.- '% ,11&3e"=,-%)@ a( "2-&3)5*"24 -:3 2%: ;,&",'+%. O ,2) V@Y^@]EZL -$% ,11&3e"=,-%) -&,2.13&- %V5,-"32 *,2 '% :&"--%2 ,. "2 >V@ Y^@]]Z@

" = ! #( )" $ = " # %

" & = ! #( )

&

" $& =

#" &

# %

" '= ! #( )

'

" $'=

#" '

# %

Y^@]EZ

" #! # " "

$ ! $ = %

# !

& "!

' ( )"%$ ! ' "! ( ( ) Y^@]]Z

8$% 2%e- .-%1 ". -3 ,11&3e"=,-% -$% 6,*% ;,+5%. ' , ,2) ' P @ 8$%&% %e".- .%;%&,+=%-$3). 63& .1,-",+ )".*&%-"X,-"32@ YQ+5%2- #2*@L BEEFZ 1&%.%2-. , .$3&-)%.*&"1-"32 36 .3=% 36 -$% .*$%=%. 63& -$". )".*&%-"X,-"32d

• O0-'/HT-E,- a:P0+E 9=D,7,]

91:"2)"24 =%,2. -$,- -$% *%++W6,*% ;,+5% 36 -$% *5&&%2- *%++ ". )%&";%)

6&3= -$% V5,2-"-"%. 36 -$% *%++ 51.-&%,= 3& k51:"2)l &%+,-";% -3 -$%)"&%*-"32 36 -$% 23&=,+ ;%+3*"-(@ Q3& -$% 6"&.-W3&)%& 51:"2) =%-$3) -$%*%++W*%2-%& ;,+5% 36 , *%++ ". ,..5=%) -3 &%1&%.%2- , *%++W,;%&,4% ;,+5% 63&-$% *%++@ 8$5.L -$% 6,*% ;,+5% 36 -$% *5&&%2- *%++ ". .%- %V5,+ -3 -$% *%++W*%2-%& ;,+5% 36 -$% 51.-&%,= *%++d

! " =

! # "#$!

$ =! %

Y^@]BZ

• 9,=*+EHT-E,- a:P0+E 9=D,7,] O%*32)W3&)%& ,**5&,*( ". ,*$"%;%) ,- *%++ 6,*%. -$&354$ , 8,(+3& .%&"%.%e1,2."32 36 -$% *%++W*%2-%&%) .3+5-"32 ,'35- -$% *%++ *%2-&3")@ 8$5. -$%

6,*% ;,+5% 36 -$% *5&&%2- *%++L ' L ". *3=15-%) '(d

! " =! # + "! ( ) ##!

$ "#$! % =! & + "! ( )&

#!

$ Y^@]^Z

' ,2) $' ,&% -$% *%++W*%2-%&%) ;,+5% ,2) "-. 4&,)"%2- "2 -$% 51.-&%,= *%++L

:$"+%!

" ". -$% )".1+,*%=%2- ;%*-3& 6&3= -$% 51.-&%,= *%++ *%2-&3") -3 -$%6,*% *%2-&3")@

b%2%&,++( -$% ,**5&,*( :"++ '% "=1&3;%) '( *$33."24 , $"4$%&W3&)%& .*$%=%

'%*,5.% -$% 6"&.-W3&)%& .*$%=% $,. , 25=%&"*,+ )"665.";"-( '%*,5.% 36 "-.25=%&"*,+ )".."1,-"32 -%&= Y/m++%&L BEECZ@ a5- ,. -$% 3&)%& 36 -$% .*$%=% ".

"2*&%,.%)L *32;%&4%2*% ". =3&% )"66"*5+- -3 ,*$"%;%@ _$%2 -$% 6+3: ". ,+"42%) :"-$-$% 4&")L -$% 6"&.-W3&)%& 51:"2) .*$%=% =,( '% ,**%1-,'+%@ #2 3-$%& :3&).L 63&-&",245+,& ,2) -%-&,$%)&,+ 4&"). "- ". 4%2%&,++( =3&% ,**5&,-% &%.5+-. :"-$ $"4$%&W

3&)%& .*$%=%.L ."2*% -$% 6+3: ". 2%;%& ,+"42%) :"-$ -$% 4&")@ a5- 63& V5,)&"+,-%&,+.*$%=%. -$% &%.5+-. =,( '% ,**%1-,'+%@


29/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.% ][

A3A3> 1";D)&%$ !(0#&"'(Y%'()*

Q3& -&,2."%2- 1&3'+%=.L +"I% -$% 4%2%&,+ -&,2.13&- %V5,-"32 1&3'+%=L -$%

43;%&2"24 %V5,-"32. =5.- '% )".*&%-"X%) 23- M5.- "2 .1,*%L '5- ,+.3 "2 -"=%@ >;%&(

-%&= "2 -$% %V5,-"32. =5.- '% "2-%4&,-%) 3;%& , -"=% .-%1 %/ L 6&3= -"=% +%;%+ + -3+n]@ a( :&"-"24 -$% -&,2.13&- %V5,-"32 ,. >V@ Y^@]`ZL -$% -"=% "2-%4&,-"32 *,2 '%)32% +"I% "2 3&)"2,&( )"66%&%2-",+ %V5,-"32.L ,. .$3:2 "2 >V@ Y^@][Z@

! "# ( )! "

= $ #

#$ " %# ( )+

#

#$ %

# #

#$

&

' ( )

* + = & " "# " ( )( ) Y^@]`Z

! "# ( )! " " #

" #+"

$ $" = % " ## " ( )( )" #" #+"

$ $" Y^@][Z

N. 63& -$% .1,-",+ )".*&%-"X,-"32 -$%&% %e".- .%;%&,+ .*$%=%. 63& -%=13&,+)".*&%-"X,-"32@ YQ+5%2- #2*@L BEEFZ 4";%. , .$3&- )%.*&"1-"32 36 .3=% 36 -$%.%

.*$%=%. Y"2*3=1&%.."'+% 6+3: ". ,..5=%)L % j *32.-@Zd

• O0-'/HT-E,- N7:;0=0/ 9=D,7,]

#2 -$% "=1+"*"- =%-$3) -$% 652*-"32 C (/ L' (/ )) ". %;,+5,-%) ,- -$% 65-5&% -"=%

+%;%+@ #- ". *,++%) k"=1+"*"-l '%*,5.% ' +n] "2 , 4";%2 *%++ ". &%+,-%) -3 ' +n] "2

-$% 2%"4$'3&"24 *%++ -$&354$ C (/ L' (/ ))@ 8$". =%,2. -$,- -$% %V5,-"32 =5.-

'% .3+;%) "-%&,-";%+( ,- %,*$ -"=% +%;%+ '%63&% =3;"24 -3 -$% 2%e- -"=%.-%1@ 8$% &%.5+-"24 QT/ 63& -$% -&,2.13&- %V5,-"32 *,2 -$%2 '% :&"--%2 ,.d

! " "+"

#" "

( )$#

= $ # "+" #" "+"( ) Y^@]FZ

• 9,=*+EHT-E,- N7:;0=0/ 9=D,7,] O%*32) 3&)%& ,**5&,*( ". ,*$"%;%) '( *$33."24 , =3&% ,**5&,-% 6"2"-%)"66%&%2*% .-%2*"+ 63& -$% ,11&3e"=,-"32 36 -$% -%=13&,+ )%&";,-";%@ 8$%&%.5+-"24 QT/ -$%2 '%*3=%.d

! "" "+##$"

"+" "+

#( )%$#

= $ # "+# &" "+#( ) Y^@]CZ

•

1[:;0=0/ 9=D,7,]

8$% %e1+"*"- =%-$3) %;,+5,-%. C (/ L' (/ )) ,- -$% *5&&%2- -"=% +%;%+@ #- ".

&%6%&&%) -3 ,. k%e1+"*"-l '%*,5.% ' +b$ *,2 '% %e1&%..%) %e1+"*"-+( "2 -%&=.

36 I23:2 ;,+5%.L ' +@ 8$% %e1+"*"- =%-$3) 1&3;")%) "2 QU9>78 ". 6"&.-W

3&)%& ,**5&,-%@ 8$% &%.5+-"24 QT/ 63& -$". =%-$3) ". 4";%2 '(d

! " "+"#" "( )

$# = $ # " #"

"( ) Y^@]GZ


30/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.%]F

A3A3A .00";/$@ )- '?" !(0#&"'(Y"= WU8%'()*0

_$%2 -$% 43;%&2"24 %V5,-"32. ,&% )".*&%-"X%) :"-$ 32% 36 -$% .*$%=%. )%.*&"'%)

,'3;%L -$% )".*&%-"X%) %V5,-"32. =5.- '% ,..%='+%) -3 , =,-&"e .(.-%= 36,+4%'&,"* %V5,-"32.@ 8$". =,-&"e .(.-%= *,2 '% .3+;%) '( .%;%&,+ )"66%&%2-

-%*$2"V5%.h $3:%;%&L -$% =3.- 1315+,& .3+5-"32 1&3*%)5&% ". '( -$% 8V5,-"32 Y^@]cZ ,2) Y^@BEZ .$3:. -$% ,+4%'&,"* %V5,-"32 63& -$% 32%W)"=%2."32,+

4%2%&,+ -&,2.13&- %V5,-"32 :"-$35- .35&*% -%&= ,- %,*$ *32-&3+ ;3+5=%L :$"+%>V@ Y^@B]Z .$3:. -$% 63&= 36 -$% &%.5+-"24 =,-&"e .(.-%= -$,- ". 3'-,"2%) '(

*3='"2"24 -$%.% %V5,-"32. 63& ,++ *32-&3+ ;3+5=%.@

"# ! # +"

$ ! $ +"

% ! % = "

$

"! $

" Y^@]cZ

"# !

# + "

$%! $%

$%

" = "# "!

#

" Y^@BEZ

"

[ ]!

" [ ]= #

[ ] Y^@B]Z

#2 >V@ Y^@B]Z -$% -%&= [Q] *32-,"2. -$% "2"-",+ ;,+5%.L &J K' J KL ,2) '352),&(

*32)"-"32.@ O%% YT%&.-%%4 f /,+,+,.%I%&,L ]cc[Z 63& )%-,"+. ,'35- $3: -$%*3%66"*"%2-. "2 -$% ,+4%'&,"* %V5,-"32. ;,&( :$%2 )"66%&%2- )".*&%-"X,-"32

.*$%=%. ,&% 5.%)L ,2) $3: '352),&( *32)"-"32. %2-%& -$% )".*&%-"X,-"32 ,2),..%='+( 36 -$% 43;%&2"24 %V5,-"32.@

A3C

.$7)&('?; -)& ,&"008&"HF%0"= 2%$#8$%'()*0

8$% 1&%.%2- .-5)( )3%. 23- "2*+5)% -$% %2%&4( %V5,-"32 "2 -$% *,+*5+,-"32.'%*,5.% 23 $%,- -&,2.6%& "2 ,..5=%) Y*@6@ R$,1-%& [@BZ@ 8$5.L .3=% .1%*",+1&,*-"*%. &%+,-%) -3 -$% )".*&%-"X,-"32 36 -$% *32-"25"-( ,2) =3=%2-5=%V5,-"32. :$%2 -$% .3+;%& ". 1&%..5&%W',.%) Y.%4&%4,-%)Z ,&% )".*5..%) "2 -$".*$,1-%&@

8$% =3=%2-5= %V5,-"32. ,2) -$% *32-"25"-( %V5,-"32 ,&% *351+%) '%*,5.%%;%&( ;%+3*"-( *3=132%2- ,11%,&. "2 ,++ %V5,-"32.@ a5- -$% =3.- *3=1+%e "..5%-3 &%.3+;% ". -$% 1&%..5&% 6"%+) ."2*% "- ,11%,&. "2 ,++ =3=%2-5= %V5,-"32.@8$%&% ". 23 %V5,-"32 63& -$,- &%.3+;%. -$% 1&%..5&%@ #6 -$% 1&%..5&% 4&,)"%2- ".I23:2L -$% )".*&%-"X%) %V5,-"32. 63& ;%+3*"-( ,&% 3'-,"2%) "2 %e,*-+( -$% .,=%

=,22%& ,. 63& ,2( 3-$%& .*,+,&@ a5- 63& =3.- 6+3: *3=15-,-"32.L ,+.3 -$% 32% "2-$". .-5)(L "- ". )%."&,'+% -3 *,+*5+,-% -$% 1&%..5&% 6"%+) ,. 1,&- 36 -$% .3+5-"32L$%2*% -$% 1&%..5&% 4&,)"%2- ". 23&=,++( 23- I23:2 '%63&%$,2)@ #6 -$% 6+3: "."2*3=1&%.."'+%L ,. "- ". ,..5=%) -3 '% "2 -$". .-5)(L -$% )%2."-( ". *32.-,2- ,2))3 23- )%1%2) 32 -$% 1&%..5&%@ 8$% *351+"24 '%-:%%2 -$% 1&%..5&% ,2) ;%+3*"-(

-$5. "=1+"%. -$,- "6 -$% *3&&%*- 1&%..5&% 6"%+) ". ,11+"%) "2 -$% =3=%2-5=%V5,-"32. -$% &%.5+-"24 ;%+3*"-( 6"%+) .$35+) .,-".6( *32-"25"-(@

8$% .*$%=%. 1&%.%2-%) 63& )".*&%-"X,-"32 36 -$% 4%2%&,+ -&,2.13&- %V5,-"32. "2R$,1-%& ^@^ ". ,+.3 5.%) -3 )".*&%-"X% -$% =3=%2-5= %V5,-"32. "2 -$% 1&%..5&%W

',.%) .3+5-"32 ,+43&"-$=@ 8$% .-%,)( .-,-% eW=3=%2-5= %V5,-"32 :"-$35-

.35&*% -%&=. *,2 '% 3'-,"2%) '( .%--"24 ' c3d


31/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.% ]C

"# $ = "%&$%& + ' ( ) (* !%&

! Y^@BBZ

>V5,-"32 Y^@BBZ &%V5"&%. -$% ;,+5% 36 -$% 1&%..5&% ,- -$% 6,*% '%-:%%2 *%++. =K ,2) =$L ,. .$3:2 "2 Q"4@ ^@B@ 8$5.L ,2 "2-%&13+,-"32 .*$%=% ". 2%*%..,&( -3

*,+*5+,-% -$". ;,+5%@ N .-,2),&) .*$%=% ". *$3.%2 "2 -$% 1&%.%2- .-5)(@ O%%YQ+5%2- #2*@L BEEFZ 63& )%-,"+. ,'35- -$". .*$%=%@ QU9>78 5.%. , *3W+3*,-%).*$%=% :$%&% 1&%..5&% ,2) ;%+3*"-( ,&% .-3&%) ,- *%++ *%2-%&.@

O08" !"#] )*+/-*; .*;37, P0/D E0'=-,/0>&/0*+ :&-&7,/,-' 4O;3,+/ N+="V #KKF6"

a( "2-%4&,-"24 -$% *32-"25"-( %V5,-"32 3;%& -$% *32-&3+ ;3+5=% "2 Q"4@ ^@B -$%

63++3:"24 )".*&%-% %V5,-"32 ". 3'-,"2%)d

" # $ # #

% #&'()

! = " Y^@B^Z

W C ". -$% =,.. 6+5e -$&354$ 6,*% C @

8$% 1&3'+%= :"-$ 1&%..5&%W;%+3*"-( +"2I,4% *,2 '% &%.3+;%) '( ,)31-"24 ,2"-%&,-";% .3+5-"32 .-&,-%4(@ 8$% .-&,-%4( 5.%) "2 -$". .-5)(L ,2) ,+.3 32% 36 -$%=3.- *3==32 .-&,-%4"%.L ". -$% O#/?U> YO%="W#=1+"*"- /%-$3) 63& ?&%..5&%

U"2I%) >V5,-"32.Z ,+43&"-$=@ 8$% 1&"2*"1+% 36 -$% ,+43&"-$= ". -$,- , 45%..%)1&%..5&% 6"%+)L :d L ". 5.%) -3 .3+;% -$% )".*&%-"X%) =3=%2-5= %V5,-"32. ,2) -$%2%263&*% -$% =,.. *32.%&;,-"32 ,2) 3'-,"2 -$% 1&%..5&% 6"%+)@ N. -$% 2%e- .-%1L -$%*3&&%*-"32. 36 -$% 1&%..5&% ,2) =,.. 6+5eL :o ,2) W C eV ,&% )%6"2%) ,. -$% )"66%&%2*%'%-:%%2 -$% *3&&%*- ,2) 45%..%) 1&%..5&% ,2) =,.. 6+5eL &%.1%*-";%+(d

" = " "+ "!

# $ = # $ "+ # $ ! Y^@B`Z

8$% O#/?U> ,+43&"-$= )3%. -$% 63++3:"24 ,11&3e"=,-"32d

" # ! = $ # %&"

! " %&#

!( ) Y^@B[Z


32/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.%]G

S%&%L " # = $ #

%& @

N )".*&%-% %V5,-"32 63& -$% 1&%..5&% *3&&%*-"32L :e L "2 -$% *%++ ". -$%2 3'-,"2%) '(

.5'.-"-5-"24 -$% 6+5e *3&&%*-"32 %V5,-"32 "2-3 -$% )".*&%-% *32-"25"-( %V5,-"32L>V@ Y^@B^Zd

" # #! = "$% #$%!$%

" Y^@BFZ

A2*% -$% .3+5-"32 63& -$% *3&&%*-"32 1&%..5&% ". *,+*5+,-%)L -$% *%++ 1&%..5&% ,2)-$% 6,*% 6+5e ,&% *3&&%*-%) 5."24 -$% 63++3:"24 &%+,-"32.d

" = " "+! " "" Y^@BCZ

" # = " # "+$ # %&#

! " %&$

!( ) Y^@BGZ

S%&%L ! : ". -$% 52)%&W&%+,e,-"32 6,*-3& 63& 1&%..5&%@ O%% YT%&.-%%4 f

/,+,+,.%I%&,L ]cc[Z 63& )%-,"+. ,'35- -$% 5.% 36 52)%&W&%+,e,-"32@ 8$". "-%&,-";%1&3*%.. ". &%1%,-%) 52-"+ *32;%&4%2*% 36 -$% *3&&%*-%) ;,+5%.@

A3I

18&/8$"*#" B)="$(*7

N++ 6+3:. %2*352-%&%) "2 %24"2%%&"24 1&,*-"*% '%*3=% 52.-,'+% ,'3;% , *%&-,"2P%(23+). 25='%&@ 85&'5+%2*% ". *,5.%) '( -$% )%;%+31=%2- 36 , *$,3-"* ,2)

&,2)3= .-,-% 36 =3-"32 "2 :$"*$ -$% ;%+3*"-( ,2) 1&%..5&% *$,24% *32-"2535.+(:"-$ -"=% :"-$"2 &%4"32. 36 6+3:@ /3.- 6+3:. 36 %24"2%%&"24 ."42"6"*,2*% ,&%-5&'5+%2-L .3 -$% -5&'5+%2*% 6+3: &%4"=% ". 36 4&%,- "2-%&%.- "2 -$% %24"2%%&"24"2)5.-&(@ 8$% 1&%.%2- .-5)( )3%. ,+.3 *32-,"2 -5&'5+%2- 6+3:.L $%2*% -5&'5+%2*%

=3)%+"24 ". -$5. 2%%)%)@

A2% 36 -$% =3.- )"66"*5+- $5&)+%. -3 -$% 1&31%& 5.% 36 RQ< *3)%. ". -$% -5&'5+%2*%=3)%+"24@ #2 , -5&'5+%2- 6+3:L 1,&-"*+%. 36 6+5") =3;% 52.-%,)"+( "2 ,2521&%)"*-,'+% 1,-$@ #2 =3.- RQ< *3)%. )"66%&%2- -5&'5+%2*% =3)%+. ,&%

1&313.%)@ 85&'5+%2- 6+3:. ,&% *$,&,*-%&"X%) '( 6+5*-5,-"24 ;%+3*"-( 6"%+).@ 8$%.%6+5*-5,-"32. *,2 '% 36 .=,++ .*,+% ,2) $"4$ 6&%V5%2*( ,2) -$%2 '%*3=% -33*3=15-,-"32,+ -"=% *32.5="24 :$%2 ."=5+,-%) "2 %24"2%%&"24 *,+*5+,-"32.@

85&'5+%2*% =3)%+"24 ". ',.%) 32 -$% 1&"2*"1+% -$,- -$% ;%+3*"-( *,2 '%

)%*3=13.%) "2-3 , .-%,)( =%,2 ;,+5% ,2) , 6+5*-5,-"24 *3=132%2- 36 -$%;%+3*"-(@ 8$". ". *,++%) -$% P%(23+). )%*3=13."-"32@ 8$% -5&'5+%2- 6+3: ". -$%2*$,&,*-%&"X%) "2 -%&=. 36 -$% =%,2 ;,+5%. 36 6+3: 1&31%&-"%. ,2) .3=% .-,-".-"*,+

1&31%&-"%. 36 -$%"& 6+5*-5,-"32.@ a( "=1+%=%2-"24 -$". *$,&,*-%&"X,-"32 "2-3 -$%=3=%2-5= %V5,-"32. 63& -$% 6+3: -$% P%(23+).WN;%&,4%) 7,;"%&WO-3I%. YPN7OZ

%V5,-"32. *,2 '% )%&";%)@ #2 3&)%& -3 '% ,'+% -3 *3=15-% -5&'5+%2- 6+3:. :"-$ -$%PN7O %V5,-"32. "- ". 2%*%..,&( -3 )%;%+31 -5&'5+%2*% =3)%+. -3 1&%)"*- -$%

P%(23+). .-&%..%. ,2) -$% .*,+,& -&,2.13&- -%&=. ,2) *+3.% -$% .(.-%= 36 =%,26+3: %V5,-"32.@ 8$% 25='%& 36 ,))"-"32,+ -&,2.13&- %V5,-"32. 2%%)%) ,+324 :"-$


33/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.% ]c

-$% PN7O %V5,-"32. "2 3&)%& -3 *+3.% -$% .(.-%= *+,.."6"%. -$% =3.- *3==32

PN7O -5&'5+%2*% =3)%+.@

8$% )"66%&%2- -5&'5+%2*% =3)%+. $,;% )"66%&%2- 1&3. ,2) *32.@ O"2*% -$%P%(23+).WO-&%.. >V5,-"32 /3)%+ YPO/Z ,**352-. 63& -$% %66%*-. 36 .-&%,=+"2%

*5&;,-5&%L .:"&+L &3-,-"32L ,2) &,1") *$,24%. "2 .-&,"2 &,-% "2 , =3&% &"43&35.=,22%& -$,2 32%W%V5,-"32 ,2) -:3W%V5,-"32 =3)%+.L "- $,. 4&%,-%& 13-%2-",+ -34";% ,**5&,-% 1&%)"*-"32. 63& *3=1+%e 6+3:.L .5*$ ,. -$% &3-,-"24 +3: "2 -$%

1&%.%2- .-5)(@ 8$5.L -$". =3)%+ ". *$3.%2 ,. -$% -5&'5+%2*% =3)%+L %;%2 -$354$ "-". , .%;%2W%V5,-"32 =3)%+ 63& -$&%%W)"=%2."32,+ 1&3'+%=. Y6";%W%V5,-"32 =3)%+63& -:3W)"=%2."32,+ 1&3'+%=.Z ,2) 2%%). =3&% *3=15-,-"32,+ 13:%& ,2) -"=%

-3 '% .3+;%)@

A3I34 1&%*0D)&' WU8%'()*0 -)& '?" M"@*)$=0HJ'&"00 WU8%'()* B)="$

8,I"24 =3=%2-. 36 -$% %e,*- =3=%2-5= %V5,-"32 )%&";%. -$% %e,*- 63&= 36 -$%

P%(23+). .-&%.. -&,2.13&- %V5,-"32.@ 8$". ". , 1&3*%.. :$%&%"2 -$% %e,*-=3=%2-5= %V5,-"32. ,&% =5+-"1+"%) '( , 6+5*-5,-"24 1&31%&-(L -$% 1&3)5*- -$%2'%"24 P%(23+).W,;%&,4%)@ 9263&-52,-%+(L .%;%&,+ 36 -$% -%&=. "2 -$% %e,*-%V5,-"32 ,&% 52I23:2 ,2) =3)%+"24 ,..5=1-"32. ,&% &%V5"&%) "2 3&)%& -3 *+3.%-$% %V5,-"32.@

8$% %e,*- %V5,-"32 63& -$% -&,2.13&- 36 I"2%=,-"* P%(23+). .-&%..L "#$ = %# !% $ ! L

-,I%. -$% 63&= 4";%2 "2 >V@ Y^@BcZ YT%&.-%%4 f /,+,+,.%I%&,L ]cc[Z@

! "#$

! % "#$% &' ()#*+%!

+ & #$ ,&*-%($.&*

!

= ' #$ /0&12($.&*

!

+ (#$

3.''24.&*

!

" # #$

3.44.5#$.&*

!

+ $#$

/0%4420% 4$0#.*

!

+ %#$

"&$#$.&*

!

Y^@BcZ

8$% ."e -%&=. "2 >V@ Y^@BcZ ,&% =3)%+%) '( ."e )"66%&%2- %V5,-"32. 63& -$%P%(23+). .-&%.. -&,2.13&-@ N+324 :"-$ -$%.%L , =3)%+ %V5,-"32 63& -$% .*,+,&

)".."1,-"32 &,-%L ( L ". .3+;%)@ 8$". =,I%. -$% P%(23+).WO-&%.. >V5,-"32 /3)%+

*32-,"2 .%;%2 %V5,-"32.L :$"*$ $,;% -3 '% .3+;%) ,+324 :"-$ -$% %e,*- %V5,-"32

63& -&,2.13&- 36 I"2%=,-"* P%(23+). .-&%..@ /3&% )%-,"+. ,'35- -$% )%;%+31=%2-,2) 5.% 36 -$". =3)%+ *,2 '% 6352) "2 YT%&.-%%4 f /,+,+,.%I%&,L ]cc[Z@

A3L

Z"*"&%$ ,&)#"=8&" -)& V0" )- 26! #)="0RQ


34/76

^ RQ< /3)%+"24 36 -$% R32-"2535. ?$,.%BE

• b%2%&,-"32 36 -$% 4&")L "@%@ .5'W)";"."32 36 -$% *3=15-,-"32,+ )3=,"2 "2-3.=,++%& .5'W)3=,"2.@ /%.$%. *,2 '% '3-$ -&",245+,& ,2) V5,)&"+,-%&,+@

• O1%*"6"*,-"32 36 '352),&"%. ,2) *32-"255= X32% -(1%.@

A3L3>

J)$9"&A2*% -$% =%.$ ". *&%,-%) "- ". .,;%) ,. , '"2,&( 6"+%L :$"*$ *,2 '% &%,) '( -$%.3+;%&@ _$%2 -$% 6"+% ". &%,) "2 -$% .3+;%&L -$% 6"&.- -$"24 -3 )3 ". -3 =,I% .5&% -$,-,++ -$% ;3+5=%. *&%,-%) ,&% 13."-";%@ 8$% 5.%& )%6"2%. =3)%+. 63& .3+;%&L %2%&4(L;".*3."-(L -5&'5+%2*% ,2) &,)",-"32@ #2"-",+W ,2) '352),&( *32)"-"32. 2%%) -3 '%.1%*"6"%)L ,. :%++ ,. 1&31%&-"%. 36 -$% )"66%&%2- 6+5"). 1&%.%2- "2 -$% .(.-%=@


35/76

B]

C

!(0D"&0"= ,?%0" B)="$(*7E 2)%$"0#"*#" %*= F&"%GH8D

C34

W8$"&(%* %*= 5%7&%*7(%* 6&%;"T)&G

_$%2 =5+-"1$,.% 6+3: 1&3'+%=. ,&% -3 '% .3+;%)L -$%&% ,&% =,"2+( -:3 )"66%&%2-*+,..%. 36 ,11&3,*$%. -$,- *35+) '% 5.%) 63& =3)%+"24 36 -$% )".1%&.%) 1$,.%d -$%

>5+%&",2 ,2) -$% U,4&,24",2 =3)%+"24@ #2 -$% >5+%&",2 ,11&3,*$ -$% )".1%&.%)1$,.% ". -&%,-%) ,. , *32-"255= -$,- "2-%&,*-. :"-$ -$% *32-"2535. 1$,.%L :$"+%"2 -$% U,24&,24",2 ,11&3,*$ -$% -&,M%*-3&( 36 %,*$ 1,&*%+ "2 )".1%&.%) 1$,.% ".

6352) '( .3+;"24 -$% U,4&,24",2 %V5,-"32. 36 =,.. ,2) =3=%2-5=@ a3-$ -$%*3,+%.*%2*% ,2) '&%,IW51 1$%23=%232 *,2 '% =3)%+%) :"-$ '3-$ 36 -$% -:3

,'3;% ,11&3,*$%.@ 8$%&% ,&% .%;%&,+ 13.."'"+"-"%. 36 =%-$3). 63& =3)%+"24 -$%.%1$%23=%2, "2 '3-$ -$% >5+%&",2 ,2) U,24&,24",2 6&,=%:3&I@ 8$% =,M3&"-( 36-$% "2;%.-"4,-"32. $,;% '%%2 +33I"24 ,- -$%.% 1$%23=%2, .%1,&,-%+(@ 8$5.L =,2(

=3)%+. -$,- *32-,"2 32+( 32% 36 -$%.% 1$%23=%2, ,&% =,)%L '5- .3=% =3)%+.-$,- *3='"2% '3-$ 1$%23=%2, $,. '%%2 =,)%h =3.- 36 -$%.% ,&% ',.%) 32 -$%

-$%3&( 36 1315+,-"32 ',+,2*%. YP,=I&".$2,L BEEEZ@ 8$". ,11&3,*$ ". ',.%) 32 ,)"66%&%2-",+ %V5,-"32 -$,- ,**352-. 63& '"&-$ ,2) )%,-$ 36 1,&-"*+%. :"-$"2 -$%6+3: 6"%+)@ 8$% %V5,-"32 $,. -3 '% *351+%) :"-$ , >5+%&",2 ,11&3,*$ 63& .3+;"24

-$% )".1%&.%) 1$,.%@ 8$% 1&%.%2- :3&I :"++ "2;%.-"4,-% -5&'5+%2*% )".1%&."32,2) -$% *3,+%.*%2*% ,2) '&%,IW51 1$%23=%2, 5."24 , U,24&,24",2 ,11&3,*$@ #2QU9>78L -$% =%-$3) ,;,"+,'+% 63& U,24&,24",2 =3)%+"24 36 -$% )".1%&.%) 1$,.%". -$% )".*&%-% 1$,.% =3)%+ Y


36/76

̀ V@ Y`@^ZZ ,2) S,")%& f U%;%2.1"%+ Y]cGcZ Y>V@ Y`@`ZZ 1&3;")%-:3 )"66%&%2- &%+,-"32. 63& -$% )&,4 *3%66"*"%2- ,2) )%-,"+. ,'35- -$% 6,*-3&.

"2*+5)%) "2 -$% &%+,-"32.@

" #= $

"+

$#

$%%&'

+$&

$%%&'

# Y`@^Z

" # =

"#

$%$%&

&+'&$%$%& '"

( )+''$%

$%&

'#+$%

$%& Y`@`Z

#2 -$% ,'3;% %V5,-"32.L 3 ". -$% 6+5") 1$,.% ;%+3*"-(L 3 : ". -$% 1,&-"*+% ;%+3*"-(L µ ".

-$% =3+%*5+,& ;".*3."-( 36 -$% 6+5")L % ". -$% 6+5") )%2."-(L % : ". -$% )%2."-( 36 -$%

1,&-"*+%L ,2) E : ". -$% 1,&-"*+% )",=%-%&@ P%-,; ". -$% &%+,-";% P%(23+). 25='%&L)%6"2%) '(d

"#"#$ !

" % &' & #'

µ Y`@[Z

>V5,-"32 Y`@]Z "2*+5)%. ,))"-"32,+ 63&*%.L *,++%) O [ @ 8$%.% ,&% "=13&-,2- 52)%&*%&-,"2 *"&*5=.-,2*%.@ N=324 -$%.% ,&% -$% k;"&-5,+ =,..l 63&*%L -$% 63&*%

&%V5"&%) -3 ,**%+%&,-% -$% 6+5") .5&&352)"24 -$% 1,&-"*+%@ N23-$%& ". -$%,))"-"32,+ 63&*% -$,- %e".-. '%*,5.% 36 1&%..5&% 4&,)"%2- "2 -$% 6+5")@ a3-$ 63&*%.

,&% "=13&-,2- :$%2 % f % :L ,2) ,&% 4";%2 "2 >V@ Y`@FZWY`@CZL &%.1%*-";%+(@

" # ="

#

!

! $

%

%& '"' $( ) Y`@FZ

" # =!

! $

"

# $

%

& ' % $&

( %

( # & Y`@CZ


37/76

` V@Y`@]Z@ 8$". 1$%23=%232 ". :$%2 .=,++ 1,&-"*+%. .5.1%2)%) "2 , 4,. -$,- $,. ,

-%=1%&,-5&% 4&,)"%2- %e1%&"%2*% , 63&*% "2 -$% )"&%*-"32 3113."-% -3 -$,- 36 -$%4&,)"%2-@ O%% YQ+5%2- #2*@L BEEFZ 63& )%-,"+. 32 -$". 63&*%@

8$% )".1%&."32 36 1,&-"*+%. "2 -$% 6+5") 1$,.% )5% -3 -5&'5+%2*% *,2 '% =3)%+%)"2 -:3 :,(.d .-3*$,.-"* -&,*I"24 3& 1,&-"*+% *+35) -&,*I"24@ 8$% .-3*$,.-"*

-&,*I"24 =3)%+ 5.%. .-3*$,.-"* =%-$3). -3 1&%)"*- -$% %66%*- 36 "2.-,2-,2%35.;%+3*"-( 6+5*-5,-"32. 32 -$% 1,&-"*+% -&,M%*-3&"%.@ 8$% 1,&-"*+% *+35) =3)%+ -&,*I., .-,-".-"*,+ %;3+5-"32 36 , *+35) 36 1,&-"*+%. ,'35- , =%,2 -&,M%*-3&(@ O%%YQ+5%2-

#2*@L BEEFZ 63& )%-,"+. 32 -$% -5&'5+%2- )".1%&."32 36 1,&-"*+%.@

>V5,-"32 Y`@]Z =5.- '% )".*&%-"X%) "2 3&)%& -3 '% ,'+% -3 .3+;% -$% %V5,-"3225=%&"*,++(@ a%63&% )3"24 -$,-L "- ". *32;%2"%2- -3 15- -$% %V5,-"32 "2-3 -$%63++3:"24 4%2%&,+ %V5,-"32 .%-d

"#

"$ =% & Y`@GZ

"# $

"% ="

! $

#"# $( ) +& Y`@cZ

8$% -%&= & "2*+5)%. ,**%+%&,-"32. )5% -3 ,++ 3-$%& 63&*%. -$,2 -$% )&,4 63&*%@O%;%&,+ )".*&%-"X,-"32 .*$%=%. 63& .3+;"24 >V@ Y`@cZ ,&% ,;,"+,'+% "2 QU9>78@ 8$%

1&%.%2- .-5)( $,. 5.%) -&,1%X3"),+ -&,*I"24 ,. -$% $"4$W3&)%& .*$%=% ,2)"=1+"*"- )".*&%-"X,-"32 ,. -$% +3:W3&)%& .*$%=%@ 8&,1%X3"),+ )".*%-"X,-"32 36 >V@Y`@cZ 4";%.d

" #

$+"=

" #

$"!

"

#

"% # #

$

% &

'

( ) +

"% # #

"$+"

#"%"

#

$ *+"$$

% & '

( ) + "%&

"+"

#

"% # #

Y`@]EZ

Q3& -$% "=1+"*"- .*$%=%L -$% )".*&%-"X,-"32 36 >V@ Y`@cZ 4";%.d

" #

$+"= "

#

$+

!% & +"

$+" "" #

$+"

# #

$

% &

'

( )

"+!% #

#

Y`@]]Z

Q3& '3-$ .*$%=%. -$% 2%: 1,&-"*+% +3*,-"32 ". *3=15-%) '( ,2 %e1+"*"--&,1%X3"),+ )".*&%-"X,-"32 36 >V@ Y`@GZd


38/76

̀


39/76

` V@ YB@^Z ". +%.. -$,2 1 =*&; @A-$%&:".% .%1,&,-"32 :"++ 3**5&@ 8$% "=1,*- 1,&,=%-%& .V5,&%) ". *$3.%2 -3 '% ,


40/76

̀


41/76

` " Y`@B[Z

8$% 63++3:"24 &%+,-"32 4";%. Z,=-0/ d

"#$%&' =( ) ! $*%#+ " ,-./#/

#%

( 0 ( 1" Y`@BFZ

8$% 2%e- -"=% .-%1 =5.- ,+.3 '% *,+*5+,-%) -3 6"2) -$% ;,+5% 36 5 ,2) "-. )%&";,-";%,- -$% 2%e- -"=% +%;%+@ 9."24 , )".*&%-"X%) 63&= 36 -$% "2-%4&,-%) 63&= 36 >V@

Y`@B^Z )3%. -$".@ 8$% ."X% 36 -$% *$"+) )&31+%-. ". )%-%&="2%) 6&3= -$%,..5=1-"32 -$,- -$% %2%&4( 36 -$% 1,&%2- )&31+%- %V5,+. -$% *3='"2%) %2%&4( 36

-$% *$"+) )&31+%-.L ,2) -$% 25='%& 36 *$"+) )&31+%-. ". )%-%&="2%) '( =,..*32.%&;,-"32 YQ+5%2- #2*@L BEEFZ@

C3I

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`@B@ Q3& ;%&( )"+5-% 6+3:.Y;3+5=% 6&,*-"32t]EWFZ -$% %66%*-. 36 -$% )".1%&.%) 1$,.% 32 -$% *32-"2535.1$,.% ,&% 2%4+"4"'+%@ U,&4%& ;3+5=% 6&,*-"32. Yt]EW^Z "=1+( -$,- -:3W:,(*351+"24 ". 2%*%..,&(@ >;%2 +,&4%& 6&,*-"32. Yu]EW^Z &%V5"&% ,++ %66%*-. '%-:%%2-$% -:3 1$,.%. -3 '% -,I%2 "2-3 ,**352- ,2) 635&W:,( *351+"24 .$35+) '% 5.%)@


42/76

̀


43/76

Bc

I

B"'?)=)$)7@ %*= J(;8$%'()* J"'H8D

I34

,?@0(#%$ !"0#&(D'()* )- '?" ,&)/$";

N. =%2-"32%) "2 -$% "2-&3)5*-"32L -$% 1&"2*"1+% 36 -$% R3=1,*- 85'5+,&R3,+%.*%& YR8RZ ". -3 63&*% -$% 6+3: *32.".-"24 36 :,-%& :"-$ 3"+ )&31+%-. "2-3 ,

*32-&3++%) -5&'5+%2- ,2) *%2-&"654,+ 6+3: 1,--%&2@ 8$% ,"= ". -3 4%- -$% 3"+)&31+%-. -3 ="4&,-% "2-3 -$% ="))+% 36 -$% -5'% ,2) *3,+%.*% .3 -$% ,;%&,4%)",=%-%& "2*&%,.%.@ 8$% +,&4%& )&31+%-. *,2 -$%2 =3&% %,."+( '% &%=3;%) 6&3=

-$% :,-%& 6+3:@ 8$". ". )32% '( , .:"&+ %+%=%2-L :$"*$ ". "2.%&-%) "2-3 , *(+"2)%&63&=%) 1"1%@ 8$". .:"&+ %+%=%2- ". 1&%.%2-%) "2 Q"4@ [@]@ 8$% R8R )3%. 23- *32.".-

36 ,2( =3;"24 3& &3-,-"24 1,&-.L :$"*$ =,I%. "- *3=1,*- ,2) %,.( -3 5.% ,2)"=1+%=%2- ,=324 3-$%& 1&3*%.."24 %V5"1=%2-@ N )%.*&"1-"32 36 $3: -$% =3)%+36 -$% R8R ". =,)% "2 -$". .-5)( ,2) -$% *3=15-,-"32,+ *32)"-"32. ". 1&%.%2-%) "2

-$% 63++3:"24 .%*-"32.@

O08" @"$] 9P0-; ,;,7,+/"

I3>

Z"*"&%$ .008;D'()*0 -)& '?" B)="$ )- '?" 212

#2 3&)%& -3 ,*$"%;% -$% )%."&%) 31%&,-"24 *32)"-"32. 63& -$% ."=5+,-"32.L .%;%&,+,..5=1-"32. $,;% -3 '% =,)% 63& -$% =3)%+@ 8$%.% $,;% -3 '% 4";%2 ,. "215-. "2QU9>78@ 8$% 63++3:"24 4%2%&,+ ,..5=1-"32. *32*%&2. ,++ "2;%.-"4,-"32. )32% "2-$% 1&%.%2- .-5)(d

• b&,;"-,-"32 ". "2*+5)%)h -$% 4&,;"-,-"32,+ ,**%+%&,-"32 ". .%- -3 c@G] =D.B

"2 -$% 2%4,-";% (W)"&%*-"32L :$"*$ =%,2. .-&,"4$- )3:2:,&)@

• N++ :,++. ,&% -&%,-%) ,. ,+5="25= :,++. ,2) *32.")%&%) ,)",',-"*L :$"*$=%,2. -$,- $%,- -&,2.6%& '%-:%%2 :,++. ,2) 6+5") ,&% 2%4+%*-%)@

• 8$% '352),&( *32)"-"32 ,- -$% "2+%- 36 -$% R8R ". *32.-,2- ;%+3*"-( 36 B=D.L :$"+% -$% 1&%..5&% ". $%+) *32.-,2- ,- -$% 35-+%-L %V5,+ -3 -$%

31%&,-"24 1&%..5&% Y] ,-= j ]E]^B[ ?,Z@

• 8$% *32-"2535. 1$,.% 6+3: ". *32.")%&%) -3 '% -5&'5+%2-@ 8$". =%,2. -$,-

, -5&'5+%2*% =3)%+ =5.- '% *$3.%2h -$% P%(23+).WO-&%.. >V5,-"32 /3)%+". *$3.%2 '%*,5.% 36 "-. *,1,'"+"-( -3 ,**352- 63& %66%*-. 36 .-&%,=+"2%


44/76

[ /%-$3)3+34( ,2) O"=5+,-"32^E

*5&;,-5&% ,2) .:"&+L :$"*$ ". %..%2-",+ :$%2 =3)%+"24 -$% .:"&+"24 6+3:

"2 -$% R8R@ O%% R$,1-%& ̂ @[ 63& )%-,"+. ,'35- -$% PO/ -5&'5+%2*% =3)%+@

• 8$% 6+5") 5.%) 63& -$% *32-"2535. 1$,.% ". +"V5") :,-%&@ 8$% 1&31%&-"%. 63&:,-%& ". -,I%2 6&3= QU9>780. +"'&,&( 36 6+5") 1&31%&-"%.@ 8$% )%2."-( ".

.%- -3 '% *32.-,2- ."2*% :,-%& =,( '% *32.")%&%) ,. ,11&3e"=,-%+("2*3=1&%.."'+%@ N *3==32+( ,**%1-%) +"="- 63& , 6+3: -3 '% *32.")%&%) ,.

"2*3=1&%.."'+% ". Y_$"-%L BEE^Zd

"# =$

%!"#$ Y[@]Z

• 8$% 3"+ )&31+%-. ,&% "2 =3.- *,.%. =3)%+%) ,. +"V5") )"%.%+L :$"*$ $,.."="+,& 1&31%&-"%. -3 %@4@ $()&,-%@ 8$%( ,&% "2M%*-%) 6&3= -$% "2+%- ,&%, 36

-$% R8R@ O%% R$,1-%& [@` 63& )%-,"+. ,'35- -$% "=1,*- 36 -$% )"66%&%2-"2;%.-"4,-"32.@ 8$% 1&31%&-"%. 36 -$%.% +"V5"). ,&% ,+.3 -,I%2 6&3=QU9>780. +"'&,&(@

• 8$% )",=%-%& )".-&"'5-"32 ,- -$% "2+%- 36 -$% R8R ". ,..5=%) -3 '%52"63&=L "@%@ ,++ )&31+%-. %2-%&"24 -$% *3=15-,-"32,+ )3=,"2 $,;% -$%.,=% "2"-",+ )",=%-%&@

• #2 -$% '&%,IW51 =3)%+"24 "- ". ,..5=%) -$,- , )&31+%- *,2 32+( '&%,I 51"2-3 -:3 *$"+) )&31+%-.@

•

#- ". ,..5=%) -$,- 23 $%,- ,2) =,.. -&,2.6%& '%-:%%2 -$% )".1%&.%) ,2)*32-"2535. 1$,.% 3**5&@ A2+( =3=%2-5= %e*$,24% ". *32.")%&%)@

• 8$% 1&3'+%= ". =3)%+%) ,. -$&%%W)"=%2."32,+L -$5. -$% ^< ;%&."32 36QU9>78 F@^@BF ". &52@

N++ ."=5+,-"32. 36 -$% 1&%.%2- :3&I ,&% )32% 32 , *3=15-%& :"-$ ,2 #2-%+ R3&%78 ,&% .5==,&"X%) ,2) 1&%.%2-%) "2 8,'+% a@]@ O%--"24. 63&

.3+5-"32 *32-&3+. ,&% 1&%.%2-%) "2 8,'+% a@B@

I3A

J"'H8D )- '?" 212 B)="$

I3A34 Z"*"&%$ !"0#&(D'()* )- '?" 212 B)="$

a%*,5.% 36 -$% *3=1+%e"-( 36 -$% 6+3: :"-$ '3-$ -5&'5+%2*% ,2) .:"&+"24 6+3:L -$%R8R ". =3)%+%) ,. -$&%%W)"=%2."32,+@ 8$% 4%3=%-&( 63& -$% =3)%+ ". =,)% -3."=5+,-% "2 -$% '%.- 13.."'+% :,( :$,- :"++ $,11%2 "2 , &%,+ 1$(."*,+ R8R@ 8$%4%3=%-&( ". V5"-% ."=1+%@ #- *32.".-. 36 , *(+"2)%& "2 :$"*$ , .:"&+ %+%=%2- "."2.%&-%) YQ"4@ [@]Z@ 8$% *&3.. .%*-"32,+ ,&%, 36 -$% R8R ". .$3:2 "2 Q"4@ [@B@ a3-$-$% 35-%& :,++ ,2) -$% .:"&+ %+%=%2- ,&% *32.")%&%) ,. ,+5="25= :,++.L :$"+% -$%

"2+%- ;%+3*"-( ,2) -$% 35-+%- 1&%..5&% ,&% $%+) *32.-,2-@


45/76

[ /%-$3)3+34( ,2) O"=5+,-"32 ^]

O08" @"#] N;;3'/-&/0*+ *C /D, =-*''H',=/0*+&; &-,& *C /D, )?)"

I3A3> !(0#&"'(Y%'()* )- '?" B)="$

8$% 4&") ". *&%,-%) "2 bN/a#8@ 8$% ;3+5=% ". =%.$%) '( =%,2. 36 , 8b&")=%.$"24 .*$%=%@ 8$". =%,2. -$,- -$% =%.$ 1&"=,&"+( *32.".-. 36 -%-&,$%)&,+

=%.$ %+%=%2-.L '5- $%e,$%)&,+L 1(&,="),+L ,2) :%)4% %+%=%2-. =,( '% "2*+5)%):$%&% ,11&31&",-%@ 8$% 4&") ". =,)% :"-$ ,2 %V5,+ )".-,2*% 36 E@EE^[ = '%-:%%2%,*$ 23)%@ 8$% 4&") *32.".-%) 36 ]CFBE[ *%++. "2 -3-,+@ 8$% +%24-$ ". ] = ,2) -$%)",=%-%& ". ` *=@ 8$% .:"&+ %+%=%2- *32.".-. 36 ]B +331.@ O%% R$,1-%& F@]@] 63&)%-,"+. 36 $3: -$% 4&") ."X% ". *$3.%2@ 8$% 4&") ". 1&%.%2-%) "2 Q"4@ [@^@

O08" @"!] L-0E =-,&/,E C*- /D, )?)"

I3C

])T '?" J(;8$%'()*0 %&" 2%&&("= S8'

8$% ."=5+,-"32. ,&% *,&&"%) 35- )5&"24 -$&%% .-%1.@ 8$% 6"&.- .-%1 :,. -3 "2"-",+"X%-$% 6+3: 6"%+)@ 8$". :,. )32% :"-$ -$% .%--"24. )%6"2%) 63& -$% '352),&(*32)"-"32. ,- -$% "2+%-@ 73 1,&-"*+% "2M%*-"32 ". )32% "2 -$". .-%1@ 8$% .%*32) .-%1:,. -3 &52 -$". ."=5+,-"32 .-,-"32,&( 52-"+ *32;%&4%2*% :,. &%,*$%)@ 8$". :,.)32% '( 6"&.- &%,*$"24 *32;%&4%2*% :"-$ , 6"&.-W3&)%& 51:"2) .1,-",+

)".*&%-"X,-"32 =%-$3) 63& -$% =3=%2-5= ,2) -5&'5+%2*% %V5,-"32.L ,2) -$%2.:"-*$"24 -3 , .%*32)W3&)%& 51:"2) =%-$3) -3 ,*$"%;% , 65++( *32;%&4%).3+5-"32 36 -$% 6+3: 6"%+)@ 8$% )%6,5+- ;,+5%. 63& -$% 52)%&W&%+,e,-"32 6,*-3&. ,&%*$3.%2@ 8$% -$"&) .-%1 :,. -3 )%6"2% -$% 1,&-"*+% "2M%*-"32 "2 -$% )".*&%-% 1$,.%=3)%+ ,2) &52 -$% ."=5+,-"32 36 -$% %2-"&% 6+3: 6"%+) :$%2 -$% 1,&-"*+%. :%&%


46/76

[ /%-$3)3+34( ,2) O"=5+,-"32^B

"2*+5)%)@ 8$% *32-"2535. 1$,.% Y:,-%&Z :,. .-"++ =3)%+%) ,. .-,-"32,&(L .-"++ :"-$

, .%*32)W3&)%& 51:"2) =%-$3) "2 3&)%& -3 ,*$"%;% 433) ,**5&,*(@ 8$% )".*&%-%1$,.% :,. =3)%+%) 52.-%,)(@ 8$% ."=5+,-"32. :%&% &52 :"-$ -"=% .-%1. 36 E@EE[

.%*32). 63& -$% )".*&%-% 1$,.% 52-"+ , -3-,+ -"=% 36 B .%*32).@ 8$% %2) -"=% 63&-$% ."=5+,-"32. :,. *$3.%2 32 -$% ',.". 36 -$% 6,*- -$,- -$% .3+5-"32 )") 23-

*$,24% ,2( =3&% :$%2 "- :,. *,&&"%) 35- 63& +324%& -"=%L "@%@ -$% .3+5-"32 :,..-%,)(@ O%% R$,1-%& F@]@` 63& )%-,"+. ,'35- -$% *32-&3+ 36 -"=% "2)%1%2)%2*(@ N++.%--"24. 63& -$%


47/76

[ /%-$3)3+34( ,2) O"=5+,-"32 ^^

" #$ ( ) # !$

"" # % " ( )

"

#

$ ""

" $ % " ( )"

#

$ "" Y[@BZ

8$% )".-&"'5-"32 652*-"32L C4E6L ". %V5,+ -3 -$% -3-,+ 25='%& 36 )&31+%-. :$%2 "- "."2-%4&,-%) 6&3= E -3 "@ S%2*%L -$% O,5-%& /%,2


48/76

[ /%-$3)3+34( ,2) O"=5+,-"32^`


49/76

^[

L M"08$'0 %*= !(0#800()*

8$% 15&13.% 36 -$". /,.-%&0. -$%.". :,.L ,. =%2-"32%)L -3 =,I% , =3)%+ 63&."=5+,-"24 *3,+%.*%2*% 36 )".1%&.%) 3"+ )&31+%-. "2 *32-"2535. :,-%& 6+3:@ 8$%=,I"24 36 , =3)%+ 36 -$% R3=1,*- 85'5+,& R3,+%.*%& YR8RZ )") -$".@ S%2*%L -$%&%:%&% .%;%&,+ ,.1%*-. 36 "2-%&%.-@ 8$% ;,+")"-( ,2) ,**5&,*( 36 -$% =3)%+ ". 364&%,- "2-%&%.-L ,2) &%4,&)"24 -$% 1%&63&=,2*% 36 -$% )%;"*% -$% "2*&%,.% 36 =%,2)",=%-%& 6&3= -$% "2+%- -3 -$% 35-+%- ". *&5*",+@ 8$% 63++3:"24 *$,1-%&. 1&%.%2-

,2) )".*5.. -$% &%.5+-. ,*$"%;%)@ N++ )",4&,=. ,&% 1+3--%) :"-$ '+,*I )3-. 63&%,*$ ."=5+,-%) &%.5+-L ,2) , ),&I &%) -&%2) +"2% ". ,))%) "2 3&)%& -3 .%% -$% -&%2)36 -$% &%.5+-.@

L34

X%$(=('@ )- '?" B)="$

_$%2 1%&63&="24 RQ


50/76

F P%.5+-. ,2) &, #9 (&%%' ?48& 9#, '48/%$34#) @&$) 64$8&3&,A ! "# 2&B4$34#)

BB][]B N11&3e@ [ $35&. BE^@[E µ= E \

]CFBE[ N11&3e@ ^ $35&. BE^@cc µ= E@B` \

]`][FG N11&3e@ B@[ $35&. B]E@[c µ= ^@`c \

]]BCGC N11&3e@ B $35&. B]`@B` µ= [@BG \

F^F[[ N11&3e@ ] $35&. BBG@[E µ= ]B@Bc \^B^C[ N11&3e@ E@[ $35&. B`C@[F µ= B]@F[ \

?&B;, F"$] )*7:&-0'*+ B,/P,,+ '0[ 7,'D,' P0/D E0CC,-,+/ =,;; '0>,'"

O08" F"$] Y0'3&;0>&/0*+ *C D*P /D, -,'3;/ .&-0,' P0/D =,;; '0>,'"

A2% *,2 .%% -$,- -$% )%;",-"32 )%*&%,.%. ,. -$% 25='%& 36 *%++. "2 -$% 4&") "."2*&%,.%)@ 8$% -&%2) +"2% -$,- 6+,--%2. 35- :$%2 -$% 25='%& 36 *%++. ". "2*&%,.%);".5,+"X%. -$".@ Q3& -$% -:3 *,.%. :"-$ +,&4%.- ,=352- 36 *%++. -$% )%;",-"32 +"%.'%2%,-$ ] \L :$"*$ ". V5"-% ,**%1-,'+%@ 8$% .3+5-"32 36 -$% 635& 4&"). :"-$ -$%+,&4%.- *%++ ."X% ,&% ;,&("24 -33 =5*$ *3=1,&%) :"-$ -$% 32% :"-$ -$% .=,++%.-*%++ ."X%L ,2) *,2 23- '% *32.")%&%) ,. 4&")W"2)%1%2)%2-@ a%*,5.% -$% =%.$ :"-$-$% .=,++%.- *%++ ."X% ". -$% =3.- -"=%W*32.5="24 -$". =%.$ ". 23- 1&%6%&,'+%@8$5.L -$% 4&") :"-$ ]CFBE[ *%++. ". *$3.%2 ."2*% -$% &%.5+- ". :"-$"2 -$%,**%1-,'+% )%;",-"32 +"="- ,2) "- ". 23- ;%&( -"=% *32.5="24 Y,&352) ^ $35&. 63&

32% ."=5+,-"32Z@

L343> 2)*9"&7"*#" )- M"0(=8%$0

N. =%2-"32%)L -$% :,-%& 1$,.% :,. "-%&,-%) 52-"+ *32;%&4%2*% 36 -$% &%.")5,+.L6"&.- 63& 6"&.-W3&)%& 51:"2) =%-$3) ,2) .%*32)+( 63& .%*32)W3&)%& 51:"2)=%-$3)@ 8$". :,. )32% :"-$35- "2-&3)5*-"32 36 -$% 3"+ )&31+%-.@ 8$5.L ,*32;%&4%)L .-,-"32,&( .3+5-"32 :,. ,*$"%;%) '%63&% -$% )&31+%-. :%&%"2-&3)5*%)@ 8$% *32;%&4%2*% *&"-%&", 63& ,++ &%.")5,+. :%&% ]EW^@ 8$%( ,&%

1&%.%2-%) "2 Q"4@ F@B@

( j B>WEceB W E@EEEe n BF^@G

]cE

BEE

B]E

BBE

B^E

B`E

B[E

BFE

E [EEEE ]EEEEE ][EEEE BEEEEE B[EEEE

C B & , $ % % D @ 2

=/8>&, #9 (&%%'

E,46 6&0&)6&)(F


51/76

F P%.5+-. ,2)


52/76

F P%.5+-. ,2)


53/76

F P%.5+-. ,2)


54/76

F P%.5+-. ,2)


55/76

F P%.5+-. ,2) 780. '&%,IW51 =3)%+ 63& +3: _%'%& 25='%& 6+3:.L -$% 8Na =3)%+@ 8$%

&%.5+-. &%4,&)"24 O/< 36 -$% )&31+%-. ,- -$% %2) 36 -$% -5'% ,&% 1&%.%2-%) "2 Q"4@F@G@

( j E@EE[e n E@E]F

E@EE

E@BE

E@`E

E@FE

E@GE

]@EE

]@BE

]@`E

E [E ]EE ][E BEE

J B & , $ K & L & > & , ) / 8 > & ,

:)%&3 64$8&3&, µ8


56/76

F P%.5+-. ,2)


57/76

F P%.5+-. ,2)


58/76

F P%.5+-. ,2) V@

Y`@]`ZZ@ _$%2 -$% *32*%2-&,-"32 36 )&31+%-. ,&% +,&4%L -$% ,=352- 36 *3++"."32;3+5=% ". +,&4%L -$5. -$% 1&3','"+"-( 36 32% )&31+%- -3 '% "2 -$% *3++"."32 ;3+5=%36 ,23-$%& )&31+%- ". +,&4%&@ S%2*%L -$% 1&3','"+"-( 36 *3++"."32 ,2) *3,+%.*%2*% ".

+,&4%&@

( j E@]BC+2YeZ n ]@G[G

]]E\

]][\

]BE\

]B[\

]^E\

]^[\

]`E\

]`[\

][E\

][[\

E\ ]\ B\ ^\ `\ [\ F\ C\ G\

H & , ( & ) 3 $ K & 4 ) (

, & $ ' & # 9 D @ 2

:)%&3 B#%/8& 9,$(34#)


59/76

F P%.5+-. ,2)


60/76

F P%.5+-. ,2) 780. '5"+- "2 =3)%+ 63& )".1%&.%) 1$,.% 6+3:L -$% )".*&%-% 1$,.%

=3)%+ Y


61/76

F P%.5+-. ,2)


62/76

F P%.5+-. ,2)


63/76

`c

N 2)*#$80()*

8$% &%.5+-. 36 -$% ."=5+,-"32. .$3:%) -$,- -$% =3)%+ ". ,'+% -3 1&%)"*- -$%1%&63&=,2*% 36 -$% R8R ,2) -$% *3,+%.*%2*% 1&3*%.. 36 3"+ )&31+%-. 36 .3=%)"66%&%2- 3"+.@ 8$% *$,24% 36 O/< 36 -$% )&31+%-. ". -$% "=13&-,2- 1,&,=%-%&&%4,&)"24 -$% 1%&63&=,2*% 36 -$% )%;"*% ,2) :,. -$5. "2;%.-"4,-%)@

N++ *,.%. :"-$ )"66%&%2- "2+%- )&31+%- )",=%-%&. &%.5+-%) "2 "2*&%,.% 36 -$% O/


64/76

C R32*+5."32[E


65/76

[]

O J877"0'()*0 -)& 68'8&" P)&G

N))"-"32,+ :3&I :"-$"2 -$% 1&3'+%=. )".*5..%) "2 -$". :3&I .$35+) 6"&.- 36 ,++*32*%2-&,-% 32 "=1&3;%=%2- 36 -$% =,-$%=,-"*,+ =3)%+ )%;%+31%)@ N. )".*5..%)"2 *$,1-%& F@[ ,2) F@F -$% =3)%+ .$35+) 52)%&43 .3=% =3&% -%.-"24 -3 %2.5&%-$,- "- ". 4&") "2)%1%2)%2- ,2) -"=%W.-%1 "2)%1%2)%2-L "@%@ ,),1-"32 36 -$% 4&"),2) &%)5*-"32 36 -$% -"=% .-%1 63& 1,&-"*+% -&,*I"24@ /3&% -"=% .$35+) ,+.3 '%5.%) 32 31-"="X"24 -$% =3)%+ &%4,&)"24 '3-$ ,**5&,*( ,2) %66"*"%2*( "2 3&)%& -3

4%- , =3)%+ -$,- ". ,. %*323="* ,. 13.."'+% :"-$"2 -$% 6&,=%. 36 ,**%1-,'+%,**5&,*(@

O%*32)+(L .3=% 3-$%& ,.1%*-. 36 -$% =3)%+ .$35+) '% -%.-%)@ 8$". =,( '% -%.-"2436 -$% %66%*- 36 *$,24"24 -$% )",=%-%& ,2) +%24-$ 36 -$% R8R@ _$,- =5.- -$%

+%24-$ 36 -$% )%;"*% '% "6 -$% )",=%-%& ". "2*&%,.%) "2 3&)%& -3 $,;% -$% .,=%1%&63&=,2*%v N+.3L "- :35+) .-"++ '% "2-%&%.-"24 -3 *$%*I -$% 1%&63&=,2*% 36 $%R8R 32 %;%2 =3&% I"2). 36 3"+.L ,2) ,+.3 3-$%& =%)", ,. *32-"2535. 1$,.%@ 8$%=3)%+ .$35+) ,+.3 '% -%.-%) 63& =3&% &%,+".-"* "2+%- )".-&"'5-"32. -$,2 -$%52"63&= )".-&"'5-"32 5.%) "2 -$". .-5)(@

#- :35+) ,+.3 '% "2-%&%.-"24 -3 .%% -$% &%.5+- 36 ,23-$%& ,11&3,*$ 63& -$% .,=%*,.% 36 .-5)(L %@4@ , >5+%&",2 ,11&3,*$@ 8$". ". , =5+-"1$,.% =3)%+ 1&3;")%) "2

QU9>78@ #2 3&)%& -3 =3)%+ *3,+%.*%2*% ,2) '&%,IW51 :"-$ -$". ,11&3,*$L -$%-$%3&( 36 1315+,-"32 ',+,2*%. =5.- '% "2*+5)%)@ 8$%&% %e".- , 15&*$,.,'+% ,))W

32 =3)5+% 63& -$% +,-%.- ;%&."32 36 QU9>78L :$"*$ "2*+5)%. 1315+,-"32 ',+,2*%

=3)%+"24@ 8$". ,11&3,*$ :"++ 23- $,;% -$% .,=% +"="-,-"32 &%4,&)"24 -$% ;3+5=%6&,*-"32 36 -$% )".1%&.%) 1$,.%@


66/76

G O544%.-"32. 63& Q5-5&% _3&I[B


67/76

[^

.DD"*=(Q .R S9"&9("T )- J(;8$%'()*0 %*= 5(U8(= ,&)D"&'("0

8,'+% N@] ,2) N@B *32-,"2 ,2 3;%&;"%: 36 ,++ 1%&63&=%) ."=5+,-"32. ,2) -$%1&31%&-"%. 36 ,++ 5.%) +"V5").L &%.1%*-";%+(@

"$'&

)/8>&,

"#$%&'(&)(&

8#6&%4)K

+,&$-./0

8#6&%4)K

2,#0%&3

%45/46

7#%/8&

M,$(34#)

:)%&3

64$8&3&,

] w%. 73


68/76

N11%2)"e NL A;%&;"%: 36 O"=5+,-"32. ,2) U"V5") ?&31%&-"%.[`


69/76

[[

.DD"*=(Q FR J"''(*70 80"= (* 65VW:1

8,'+% a@] s a@` 1&%.%2- , *3=1+%-% 3;%&;"%: 36 ,++ .%--"24. 5.%) 63& -$%."=5+,-"32. "2 QU9>78@

"$3&K#,F D/>.

"$3&K#,F O

D/>.

"$3&K#,F P

"I#4(&*7$%/& "I#4(&*7$%/&

O3+;%& ?&%..5&% a,.%)

Q3&=5+,-"32 #=1+"*"-

8"=% O-%,)(

O1,*% ^<

O3+;%&

b&,)"%2- b&%%2Wb,5.. R%++ a,.%)

>2%&4( AQQ

/3)%+ P%(23+). O-&%..

P%(23+).W

O-&%.. /3)%+

U"2%,& ?&%..5&%WO-&,"2

_,++ aR 6&3= I

>V5,-"32

P%(23+).W

O-&%..

A1-"32. _,++ P%6+%*-"32 >66%*-.

7%,&W_,++8&%,-=%2-

O-,2),&) _,++Q52*-"32.

T".*35.

/3)%+

R32.-,2-.


70/76

N11%2)"e aL O%--"24. 5.%) "2 QU9>78[F

"$3&K#,F "I#4(&*7$%/& "I#4(&*7$%/&

>V5,-"32. Q+3:L 85&'5+%2*%L

P%(23+). O&%..%.

?&%..5&%WT%+3*"-(

R351+"24

O#/?U>

?&%..5&% E@^

2%&4( E@G

85&'@ ."$3&K#,F P "I#4(&*7$%/& "I#4(&*7$%/&

#2-%&,*-"32 :"-$

*32-"2535. 1$,.%

A7

91),-%


71/76

N11%2)"e aL O%--"24. 5.%) "2 QU9>78 [C

"$3&K#,F D/>."$3&K#,F "I#4(&*7$%/& "I#4(&*7$%/&

#2M%*-"32 8(1% O5&6,*%

P%+%,.% Q&3=

O5&6,*%.

#2+%-

?,&-"*+% 8(1% #2%&-/,-%&",+ O%% 8,'+% [@]

))(

U"6%-"=%

AQQ

85&'5+%2-


72/76

N11%2)"e aL O%--"24. 5.%) "2 QU9>78[G


73/76

[c

.DD"*=(Q 2R X(08%$(Y%'()* )- !(0D"&0"= ,?%0" 2)*#"*'&%'()*

Q"45&% R@] s R@[ 1&%.%2-. *32-35&. 36 -$% )&31+%- *32*%2-&,-"32 "2 6";% *,.%. :"-$)"66%&%2- "2+%- )",=%-%& 36 )"%.%+ )&31+%-.@

O08" )$] )*+/*3-' *C


74/76

N11%2)"e RL T".5,+"X,-"32 36


75/76

F]

5(0' )- M"-"&"*#"0

]@ N.$4&"XL 7@L f ?33L y@ w@ Y]ccEZ@ R3,+%.*%2*% ,2) .%1,&,-"32 "2 '"2,&( *3++"."32.36 +"V5") )&31.@ W*3-+&; *C O;30E %,=D&+0=' V ##$L ]G^WBE`@

B@ QL /,-%&",+. 8%*$23+34(@O#78>Q@

^@ >+43',.$"L O@ Y]cc]Z@ ?,&-"*+%W+,)%2 -5&'5+%2- 6+3:.d )"&%*- ."=5+,-"32 ,2)*+3.5&% =3)%+.@ A::;0,E '=0,+/0C0= -,',&-=D V MS Y^ZL ^E]@

`@ Q+5%2- #2*@ YBEEFZ@ Oga1X? F"! a',-j' L30E," Q+5%2- #2*@

[@ S,")%&L N@L f U%;%2.1"%+L A@ Y]cGcZ@


76/76

U".- 36 P%6%&%2*%.FB

][@ T%&.-%%4L S@L f /,+,+,.%I&,L _@ Y]cc[Z@ A+ N+/-*E3=/0*+ /* )*7:3/&/0*+&;O;30E

mathematical modeling of coalescence

Documents