Upload
others
View
1
Download
0
Embed Size (px)
Citation preview
31D-LJK.ps, page #1, Fri Dec 27 14:58:18 2013
ˇ �� ˇ
� ˚ �N0 ����,x* Uˇ�,) ,42!C ��� 2!z˛���� ��@$˛ �.�,) U�,I =)&˛ 8<� ���˚ ��c ���˛ $cL@HK� IKDD���RNF@MF�@B�
JQ��� )G@$˛ Uˇ�,) U�+1,I =)&˛ 8<� ����˚ ���c���˛ $cL@HK� TG����JMT�
@B�JQ�N� _� ����� �� � &4_� ����� ��� � e�t4_� ����� ���
4%. �4˙ +� 3˚�vn4;�
LO9� 8'. [��
˚k���˘MX���
? 2!˝ 2GTFG@QS˛ 3NKKHRNM˛ @MC 8@M�����˚ # +TOT @MC /NMSTRRNM�����˚�
Tp2! ?& C�� 3˚�]W *<( )* �vn4; �* �| 3
˚79F� 40.˚� 8'.2 �<˙ 40U�,. /� � v;*5� !DQMGDL
@MC 6GHMRSNM��� ,˚ # &QNRRL@M @MC 'DKOL@M�����˚� \9�˛2b8 :I�
� � 3˚79F� ˚jM( 40m� �" ?4z˝ �8 3˚gs˙ Lc
3˚79� @D* 8' [� I/˙ @9B v;��5� ? 2! �˝ 3˚
gs ?4&4 � Lc3˚79� gs � � �� 693˚˚ b� 3˚79
� g8 @L]� 693˚>5 �0 U#�@3˚79� gs � � �� 693
˚ @}5 U#˚˛ L 79� 7˙ +�� 4;cu$ e 40. RX7˙
hJ�˝ K˚ Lc3˚79� �[� [�2 ) ˛ g8 @L]� 693˚>5
H U#� 3˚79 1�.ˇ˘ @}5 U#˚ ˝ 3˚79& 7�N P
$.ˇ˘ 40. RX7˙ hJ�˝ 8'˚ Aw˚* Kˇ˘ v;z˛5�
vlY��� �vn4;˛ 3˚g˛ Lc3˚79˛ ˚jM( 40˛ \9�˛2b8
U�,N%X� Y�vN� (� ˛ '��˛ #��˛ #�
(� � L
2GTFG@QS˛ 3NKKHRNM˛ @MC 8@M�����˚� Tp2! �� 4I� �vn4;
/h PB� QH ˚jM(F� 40. RX7˚ 1&� 4;� ?&@ 3˚
�]W˙ l</[ s Kˇ˘ N$N P5� +TOT @MC /NMSTRRNM�����˚� Tp2
! �* Lc3˚79� 1�. 3˚ )0 �" Lc79˚ �vn N�
31D-LJK.ps, page #2, Fri Dec 27 14:58:19 2013
�� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
�˚ ,DKSYDQ @MC 1HBG@QC��� �˚ W� 2! � �/z˝ L)�u$˝ _).ˇ˘ 3˚&z˚
T JZ� ]� 3˚&z>5˝ >0 Q2˙ �'� ˚ �u$@ @@ ['�˝ gs˚
�8 3˚gs˚ w5� �"� L)�u$>5 10 3˚&z˙ L˝ Q2F0 >0 3˚gs& .*.2 3˚�vn( Y@�˝ E> e �u{ K˚ 1�.ˇ˘ L)�u$
>5 >0 3˚&z˙ L˝ Q2F0 10 3˚gs& 10 &z� 3˚�vn( Y@�
˝ E> e �u*5 0**5� ,DKSYDQ @MC 1HBG@QC��� �˚˝ &J.ˇ˘ ��]��g: 8�� 10 3˚&z˙ \~ /!F e m4�˚ t�z � 3˚gs˚ /w >]\
.*.2 �vn@ ˚bB\˝ &4˙ ! 0*{ & P˝ 40U�,. 2!˘ ]@�
P5�
PB� 2g 3˚79& 40.ˇ˘ 7{ @D(˚ >5˝ /˙ .$"# 6@
F� ˘˚h( JH�� >�Y P5� ˚F Tpv; 2!F0 5j* 3˚
&z˙ \~ �u$F˚ 3˚�vn4;& QH�� 1˚* c@ ˇ˚e z
B ˚ N�( 40.2 Q/ � �<� P�˙ /J� P5� �vn N�
( 40U�,. /� � v;�: /�* K0 1NLDQ����˚˛ 1NADQSR���˚
# ,DKSYDQ @MC 1HBG@QC��� �˚ W� 2!F � :]h & P˝˘˛ ˚F 2!F
� J�0 3˚�vn4;� cu&4˙ L)�u$ 4˛�LDCH@M UNSDQ SGDNQDL˚
��� 40. �8ˇ˘� �vn4;˙ 0*� P5��˚ T|N T�˘ ?
4z˝ �vn4;˚ L)�u$@ @@ ['�˝ 4;&˝ _0�\ /˝5˝
/ � ˚F 2!F� mV70 *7.˚˛5� ˚ ��� �C ˝ *QHRSNU˛
+HMCDQS˛ @MC ,B"KDKK@MC�����˚˛ #NTF@M @MC 2MXCDQ����,˚˛ 3DRS@�����˚ # 9GDMF
�ENQSGBNLHMF˚ W _H� 2!F0˛ 2GTFG@QS˛ 3NKKHRNM˛ @MC 8@M�����˚& +TOT
@MC /NMSTRRNM�����˚� Tp2!@ /J� P,˚˛ �vn4; &4 �� ˚
jM(� 40. &{ YX� P5� ? 2! �* �vn4;ˇ˘� 3˚
gs ?4& QH�� 1˚* ˚;Q7@ P˝ 3˚79F� ˚jM( 40 h
)( v;� $ *5� J˚O ? 2! �˝ LO9� 1�.2 3˚&z
�s 8'. [� I/˙ @9B @D* 3˚�vn4;� :X ��� 4
0U�,. v;˙ �e � K˚5�
LO9˚" �˛˝ Lc3˚790 3˚&z PB� @3˚79& 3
˚79� Lc )0�˝ M(ˇ˘� ˛0 J:F0 $G˚ LO9˚" E
��˝ UX˚ P5� T|N LO9˚"˝ 79˙ 4��˝ K0 Q# b'{
K~ ]y" YQ.˚:}\ �5� JO˛ �C #˛N"� JZC\ \n˙ t
��: )* g�Q{ �6 �* h & P,˚˛ LO9 pgk QH�� LO
9˙ B� 3˚!cˇ˘ >]d { K2@˝ Q# YQ.˚� 40.2 �(
xS\ P5� T( * �!� B� JZ� 3˚�vn4;� :X0 40
31D-LJK.ps, page #3, Fri Dec 27 14:58:20 2013
˚k�˘MX ��
�˚ BDLNFKT @MC 1NAHMRNM����,˚ �˝ �vn N�( JH˘ LO9�@ LHCCKD BK@RR˚� &{
˚ [�� t�( @"B ˛ ˚ �" Iv. !Y�* � *8 !Y�*˘ ˚h�
& P5 Y@� P5��˚ 2SHFKHY�����˚˝ �C oY):˘Ih yWz P˝ �M 7N LO9& @3˚79�
3˚˚ /w )�zB 3˚�]W˚ l<z P˝ 9g@ ˛0 6@ � Wtz P5
Y@� ˛ ˚k 80 LO9� �_˚ ?6 79 c� ˝W˙ l</d !YY� �
* 5R˙ Bbe { & P5 Y@� P5�
.ˇ˘N U�.ˇ˘ LO9� [� ˛0 RX˙ � P5� BDLNFKT @MC
1NAHMRNM����,˚ �� LO90 B� JZ� !YY� �*@ l=ie lf
�e ~ ˝ *\�@ ATEEDQ˚ &{˙ &h�˝˘˛ m( FB �vn N� � 7
9 c� ˝W˙ *</d˝ &{˙ LO9˚ J>*5 0**5��˚ ˚}( B
� JZ� !YY� �*( 4�/d˝˘ !l.2 &{˙ J>�˝ LO9�
(�˝ T JZ@ @.* !Y�*( 5R�˝˘ @@ :?.2 8�" >
P5��˚
4I� �vn4; cu&4 �� ˚jM(� 40. RX7 Q* 40U
�,. v; �N0 ����x *QHRSNU˛ +HMCDQS˛ @MC ,B"KDKK@MC� @� � :]h
& P5� ˚F0 JZ. K�˚L�RNBH@K @EEHMHSX SGDNQX˚ � �/�˝ 40. m
�k ˚jM(� 8(& QHw 8�=@F˙ �� �x # �� �x Wuw !DBJDQ
� ˚jM(b8 <Heˇ˘) �vn4; PB� Q2F� ˚jM( m�
# 40. 67� 4*( BU� $ ��5� ]C| *QHRSNU˛ +HMCDQS˛ @MC
,B"KDKK@MC˝ 3˚& 40. (X˚ 5j* Q2F˙ ˝�� $GF˚ W8
/� ˚jM(b8 � @3˚79˙ �1ˇ˘ �vn N� PB� JZ.
K�˚L @0˚ rpN K=* 0˚7˚ P˝\ .$"# ��Q6� ��,�xIh
�� �x}\� ˘˚h( JH�� Ip��5� ˚F� Tpv; �˝ @3˚7
9� 3˚&z˚ Q[z � �vn N� � $GF� 40.2 h9˙ .<
/[ N@\~˛ *{ˇ˘˝ U�(@& x�B JZ.ˇ˘ @3˚79 �*
Ql0 /w (B ˝ Kˇ˘ N$�5� �vn N� PB� ˚jM(� &
{ Q* F 5s Y`* 2!˝ #NTF@M @MC 2MXCDQ����,˚˚5� ˚F0 �v
� N�k QH�� � 3˚79˙ 14�\ / 5j* 3˚&z˙ \~ Q
2F˚ �vn4; ��� 7'�( 8(�@ BN@KHSHNM ENQL@SHNM˚�˝ JH(
=. eo�@ BNNODQ@SHUD F@LD˚ˇ˘ 0*��5� ˚ 7'�@ 8(z: );
�˝ 5j* Q2F c� GCH�@ A@QF@HMHMF BNRS˚˚ ˝zBd � ˛ [�
@D* 4;� ,)@ !YY� �4'� f � =HzBd �˝ =@˚ ~�
zBd *5 >.5� F* ˚( =. �8ˇ˘� =*�˝˘ (\* Q2
31D-LJK.ps, page #4, Fri Dec 27 14:58:20 2013
�� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
�˚ C=s.2 4;� [�0 �vn N�K~ ]y" Qgk 80 A&4; F˝ #U4;
W˙ v;�˝ 5j* 40U�,. 2! �* *pz˛5� $g* K0 &QNRRL@M @MC'DKOL@M�����˚& HCS����˚ W˙ m={ K�
F� M>˚ ˚jM(ˇ˘� 4I� �vn4; RX7˙ hJ�˝ JH(
v;��5� ˚}( *QHRSNU˛ +HMCDQS˛ @MC ,B"KDKK@MC�����˚k #NTF@M @MC
2MXCDQ����,˚� 2!F0 �vn4; cu&4 � ˚jM(� &{˙ v;�
˝ / � ? 2!k KJ�\~˛ *QHRSNU˛ +HMCDQS˛ @MC ,B"KDKK@MC�����˚@ :?
.ˇ˘ !DBJDQ��� �˛ �� �˚� ˚jM(b8˙ Ccˇ˘ v;�� ˛ #NTF@M @MC
2MXCDQ����,˚@ =. eo˚L c��� ˚jM( 8(� fE. &4
I/˙ L v;��5˝ / � ? 2!k w˚@ P5�
˚L. v;b8� Q/ � ? 2!k @@ KJ* 2!˝ 3DRS@�����˚�
2!˘ h & P5� 3DRS@�����˚˝ :?.ˇ˘ 4;cu$� oA@ /@� T
�( )4eˇ˘) =s.2 ?&( @"B˝ Ko * �!� 77˘ 4;
[�� ?&@ C=s.2 bF˙ >_ & P˝˘˛ ˚˝ 4;cu$� ['@
JZ. EE~˙ ˝�˝ $C˘5 JZ7N@� TK& 5q: 7N˚� :
Io�@ LNMDS@QX SQ@MREDQ˚ ��� ['( L P: 7N˚" \.��5��˚
3DRS@˝ ˚|* C=s.2 4; [�˙ 0*{ & P˝ v;b8˙ \9�˛
2 U:�@ BNLLNM @FDMBX F@LD˚ � :.ˇ�˛ U:$F˘� Y2�OQHMBHO@KR˚0
�u�˙ \~ /!F˚ $GF� ˚j˙ >'�: )�� =** ˘CM(F
˚� �˛2�@FDMBX˚0 4;cu$� &{˙ �˝ Kˇ˘ ˝��5� �C 5
j* U�˛ JZ N�k QH�� 4I� }:˚ JZ.ˇ˘ �.� [�& 1
˚* U#F˙ Wt{ & Pˇ�˛ ˚( v;�˝ 40U�,. gC:Vˇ˘�
\9�˛2b80 5j* JZ. ˚`F˙ ;;�˝˘ ˛0 /J/˙ �\�
P5� �"� 3DRS@� v;0 4;. Qdˇ˘ 2* 2;( >1�˝ :uˇ˘
� �vn4;� cu&4˙ #HWHS˛ &QNRRL@M˛ @MC 'DKOL@M����˚� 40U�,
. gC:V �" v;��5� ˚ U# ˘CM(0 4;cu$ e :Io˙
�/� � 4;cu$@ $G˚ ['�˝ :X � �vn4;˙ cu�*�
K*�˝˘˛ �:� :Ie&˝ 3QTSGETK 8' �" 0*� P5� :?.ˇ
˘ \9�˛2 eob8˙ v;:Vˇ˘ ˘�� P˝ ? 2! �* 3QTSGETK
:I8'�3QTSGETK BNMSQHATSHNM RSQ@SDFHDR˚˙ Llˇ˘ 1˚* 3˚79 c� 4
0. U6˙ 0*eˇ˘)˛ 4;cu$@ [��˝ 3˚�vn4;˚ JZ.ˇ
˘ �.˚ ]~ C=s.2 ?&( @"[ &* P�˙ 0*�e � K˚5�
31D-LJK.ps, page #5, Fri Dec 27 14:58:20 2013
˚k�˘MX ��
˚ ˚˝ BDLNFKT @MC 1NAHMRNM����,˚& 9GDMF�ENQSGBNLHMF˚� 40U�b8˚ :?.ˇ˘ \
9�˛2 U: 8A( @\ Pˇ�˛ ˚ U# [�z˝ 4;0 b8� �8 � L˝
?KNB@K SQTSGETKMDRR˙ (R˙ ~��: 7N � ˚jM(F� 407˚ 1˚* U# JZ7N@� [� F* RX˙ �˙ & P5˝ Y@ � Cqw5�
3DRS@�����˚˝ * JZ� 3C$F˙ np4; �" np�1 3C$k C
�1 3C$˘ Nv ˛ @˙$K< 4; /h& QH�� EE.ˇ˘ ,;(
c˝ 3C$F e >1ˇ˘) �vn( �˝ U#( \9�˛2b8ˇ˘ 0*
� P5� T|N ? 2!� I/0 Lc3˚79� 1�.2 3˚&z �
"� 3˚gs ��� ['�˝ gs˚ 1˚;\˝ K YX� ˛ ˚ U#
LO9� 8'.2 h9˚ 4;cu$� 3˚g4; [� B(* RX˙ Y
e z˝\( \9�˛2 b8ˇ˘ 0*� $ *5� +DD @MC 'V@MF�����˚� 2
! �* \9�˛2b8˙ +�� JZ7N@� 40. ˚M� TA& ˚k
)�z˝ ['( \~ ˚jM( c� ˝W �s �vn4;� :X˙ @V{
& P\~˛ ? 2! �˝ �vn4;� :X˙ LO9� 8'. [� I/
˙ @9B 0*� P5˝ /˚ +DD @MC 'V@MF�����˚� 2!k˝ 5s /˚
5� 9GDMF�ENQSGBNLHMF˚� 2! F* �vn4; &4 � ˚jM( 40 I/
˙ @9B &QNRRL@M @MC 'DKOL@M�����˚ �" ��( 8Q�\~˛ ˚jM(�
&{˙ JZ7N@� EEe&( $GF e K˛�e T8z*� $]˙ ˘C
"9 �c�˝ Kˇ˘ ;;� P5˝ / � 3DRS@�����˚k ? 2!k˝
w˚.˚5� T|N BDLNFKT @MC 1NAHMRNM����,˚˚ � ˚jM(F˚ :Io U
6 � 1˚* 407˙ L˝ U#˛ JZ7N@ F* � ˚jM(F˚ �/*
:Io˙ 1˚�e ]@�e w5 [�z˝ 4;0 407˙ Ve Wm{ &
P˝ M( e K˛�*� cu� & P5˝ /˙ 0*� P5˝ / �˛
9GDMF�ENQSGBNLHMF˚� ;;0 BDLNFKT @MC 1NAHMRNM����,˚� TK& f*.ˇ
˘ KJ* Iv˚ P5��˚
? 2! � YX�˝ LO9� 8'. [� Q* Tpv;0 �C +TOT
@MC /NMSTRRNM�����˚ � :]h & P5� +TOT @MC /NMSTRRNM0 Lc3˚79
� 3˚&z˚ 3˚79>5 @3˚79� 3˚&z 1�.ˇ˘ @}C&
� �vn N� � @3˚79& 40.ˇ˘ ={ @D(˚ >˙ & P5˝
@0˙ [k $?Y� JZ�.$"# 6@˚� ˘˚h( @\ Ip��5� ˚F
� Tp2! �˝ LO9 �u$F� �vn4; �* ['@ @0˙ �q
P�˙ t2��ˇ�˛ JO ˘˚h �˝ 1) ��B� 3˚v,� ZB7
4*@ �) ��B� 3˚v,>5 x t2{ 7 �vn&z˚ p@� P�˙
31D-LJK.ps, page #6, Fri Dec 27 14:58:20 2013
�� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
t2��5� ˚jM(˚ 3˚�vn N� PB� 40. RX7˙ hJ*5
˝ Tp. p˝ 2GTFG@QS˛ 3NKKHRNM˛ @MC 8@M�����˚� 2! �* :]h &
P5� @$F0 3˚�vn4; &4 � ˘C('F� lRX7˙ BU�:
)�� '6 ��Q Y�RS@SDR˚� s( $6�BQNRRcRDBSHNM@K C@S@˚( JH��ˇ
�˛ 3˚�]W 4*@ l<w YF˙ BU; > �Iv 4;cu &4 �
˚jM(˚ 40.ˇ˘ H RX7˙ hJ�˝ YFo˚ t2z˛5� ˚F� T
pv; ?&k KJ* ?&F˙ 40U�,� ˚L. v;:V I/˙ @ ?
2! �* t2{ & P5� +TOT @MC /NMSTRRNM�����˚� ?& � h & P,
˚ Lc3˚79 3˚� 1�. &z �" �vn N� PB� ˚F� 4
0. c@˚ 1˚�0˘ 40. 7˙ )* 8'. [� F* 5( & P�˙
S$?5� �"� 4;cu$� 4; [� F* JZ. �. &z&˝ 5s &
z � [�� & P�˙ 0*� ˛ 3˚�vn N� PB� Lc3˚79˚
[�{ & P˝ 5j* 40. 8' @5˘ B31 Q[˚ @D{ & P˝ 8
'˙ 3QTSGETK :Ie&( C)eˇ˘) [��e `˙ >˚e � K˚5�
�"� ? 2! �˝ 3˚�vn4; ?4& QH�� � 3˚79 J˚�
˝W& 4; ?4&4˙ ˚jM( 40� Q/ � 0*� P5� !DQMGDHL
@MC 6GHMRSHNM��� ,˚ # &QNRRL@M @MC 'DKOL@M����,˚˙ �"� ? 2! �˝
\9�˛2b8 != u � EO(˚ 1˚* � 3˚M(F˚ 40@˘� w
: [( @L L P˝ 4;cu$ e U6.ˇ˘ [$o :I( Yi
eˇ˘)˛ $GF e K˛* 3˚g4;˚ /h� & P*� RX7˙ hJ�
˝ &4˙ v;*5� JO˛ ? 2!˝ Lc3˚79� 2!Cs& 3˚&z˙
Bu; h 7˛ �vn4; ?4&4 � ˚F� 40. RX7 hJ@ * JZ
� 3˚�vn :X˙ @V�˝ ˘ L`* RX˙ '� & P˝ @D(˙ Ll
ˇ˘ ��( 8Q*5� +˛ U�� gs � � �� 693˚� @L]�& C
)z˝ gs � � �� 693˚� 1�. V: �" Lc3˚790 3˚
�vn4; �* c@˚ 1˚;\0˘ ˚jM( 40 �� ˚F� 8'.
[�˙ v;� $ *5�
? �� �˝ 4;cu$� 40. ˝ �s 4; cu&4˙ ˚jM(
40. Q/ � ��� � �vn4; ?4&4 � b� 3˚79˚ 40.
ˇ˘ =*<z˝ ˚Kk &4˙ 0*� ˛ Lc3˚79� EO(˚ @3˚7
9& @}5 U# # 3˚79& @}5 U#( NvB ˚F� 8'. [�
˙ v;�e � K˚5� ]C| Lc3˚79� �. 3˚gs˚ 3˚79&
31D-LJK.ps, page #7, Fri Dec 27 14:58:21 2013
˚k�˘MX �
9_* U# Lc3˚79˚ P$.ˇ˘ ˚jM( 40 m��:>5˝ 3
˚79& 40.ˇ˘ 7�˝ K˚ 8'.ˇ˘ K˛* [�o˙ 0**5�
? �N0 5�& 80 l�˘ ��( 8Q*5� �a= �˝ 40U�,.
v;˙ )* :? U�b8� !=( 3Q� ˛ � 3˚79& JZ.ˇ˘ =
s.2 �. 3˚gs˙ *n*5� �b= �˝ \9�˛2 U:( S�ˇ˘
Lc3˚79� 8'. [�& �vn4;� :X˚ BZe ?4z� T e�
@ A72\( v;*5� Oˇ˘ �c= �˝ ? 2!� ?&( `Y*5�
A� �? b8
? �N �˝ 3˚&z˚ 5s g M(˚ (��˝ B� WoU�( v;�
1ˇ˘ *5� � M(F0 EO(˚ 9_* Q2F˘ !(zB Pˇ� ˚ EO
( w˚˝ � M(� 3˚&z� w˚˘ N$Ne w5� � M(� Q2F0
3Ck �@ �* ['( @\ Pˇ� 3C&z0 ?6 ˚ 3C$� EO
( ��� ?4w5� 4I� �vn4; /h0 ?6 � Q2� EE&z˙
T</de z0˘ � Q2˚ $G� EO( �" 4; �* ['* P"
R K˚5�
�� Q� 69\p� 3C [�
1˚* g @\ 3˚79˚ (��˝ B� WoU�( @4; >$� � 3˚
79˙ �u�˝ Q2F� ['˝ 5�& 8˚ 3Ck 69\p� >}.2 =
He&˘� u/� & P5�
TH�4�tH˛ S˛ KH˚˛ H��˛ �˛ �
�:� tH˝ H79˙ �u�˝ Q2 EO(˙ �'��˛ EO&4 � ˚ 3
C$@ :�* �@˘ �˝ oo&z˙ ?4�e � K˚5� *{˛ Y2 H˝ �
3˚79˙ N$f P˝˘ v$@ R&� EO(˚ >]� 3˚* >0 7
9˙ N$u5� �"� 79 �0 @3˚79˛ 79 �˝ Lc3˚79˛ T˛
79 �0 3˚79˙ �� N$f P5� T˛ S˚:�˛ �<k KH˝ 3˚�v
31D-LJK.ps, page #8, Fri Dec 27 14:58:21 2013
� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
˚ ? �� �˝ 3˚79� 2!Cs�^�˚˚ 5s 3˚79� 2!Cs>5 @@ 10 U
#( v;�e z˝˘˛ ˚ @40 _).ˇ˘ �Iv 6@F� 2! $6 � S$h &
P˝ _).2 K˚5�
n( )* 3˚gs& H79� �u. Q2� 69\pg˙ �� �'*5� ?
2! �˝ ˚ U� (��˝ Q2F˚ z[8�PT@RHcKHMD@Q˚ =He&( @\
P5 @4�� 5�& 80 !'.2 e&8A˘ u$w5�
ui=ci-Cli
1+d
(1+d)��˚
�:� BH˝ H79� �u. Q2� 3C\n˙ �'� BHD��ˇS˚tHKH˝A˘
N$� & P˝˘˛ ˚˘Ih 4I@ � 79 i* Q2F� 693˚ˇ˘I
h(_CHgs S~A˙ �&�� A V:� 4l˚83˚�@ KTLOcRTL SQ@MREDQ˚
˙ �vn4; �" \p�˝ Kˇ˘ ;;*5� �"� &3C&z0 3˚g
_gv˚ �?w oo3˚�gE693˚˚& 4I˘Ih� 4l˚83˚� >ˇ
˘ N$D5� F* B"'h U˝ 69\p� C=H˙ V4� Pˇ� U��˙
@4*5�
*{˛ � 3˚79� Q2 e 9_* V:˘ \pz˝ �2> ˚8\n3˚
A˝ 5�& 8˚ 4�� & P5�
b=tv3
i=1Xinili ��˚
�:� ^H˝ H3˚79� &2!Cs˙ N$f� ^H˚��˛ �˚� ˚˙ @\
PB� ˚ U�� &2!&˝ v3
i=1Xi=1˘ @4*5��˚
r ��˚˘Ih H3˚79 (��˝ �u. Q2� �. 69\pg˙ ]Gk
8˚ *n; h & P˙ K˚5�
l*i =[(1-t)ni]1/d
˚˘Ih �. 69\pg0 EO( CH� 3˚gs )CH�˝ K˙
< & P5� �"� YBk 3˚gs � � EO(˚ >0 Q2� 69\pg
F* >e � K˚0˘˛ � 3˚79� �u. Q2� 693˚ &z0 t�K�G
31D-LJK.ps, page #9, Fri Dec 27 14:58:22 2013
˚k�˘MX ��
�˚ Q2� 693˚0 nil*i =(1=t)nZi
�˚ � 3˚79� 4;['˘Ih �. 3˚gs˙ !�: );�˝ y`* �7*e& =@
F* �� (x;d *5�
t�K�Gt�K� V: l�˘ N$� & P5� ) � *nw �. 69\pg˙ r
��˚ �c; > ˚8\n� V:( ]@; h & P˝˘˛ 5�& 8˚ YB
k 3˚gs& ]�EO(� e&˘ N$D5�
b=t(1-t)Z-1E (nZ)
�:� Z=C1+d
dˇ˘ 4�� Z-1=C
1do˙ < & P ˛ �"� jH� ��
� `H�˚5� F* E (nZ)=v3
i=1Xini
Z˘ 4�� & P˝˘˛ �:� nZ
i˝ gs˚ �
2 U# H79� �u. Q2� 693˚˚0˘ E (nZ)˝ gs˚ �_ 7� ˚
U�� 693˚� @L]�˙ �'*5��˚ �:� r ��˚ � 4�w H79˙
�u�˝ Q2� =He& ,ew ˚8\n& �. 69\pg˙ �� �c
; > 5�& 80 cg=He&( *n{ & P˝˘˛ ? 2! �˝ 40U
�,. QH �" ˚( 4;['e&�@ FQNRR ONKHBX OQDEDQDMBD ETMBSHNM˚" I
q:˘ *5�
vi(t)=C(1-t)ZnZ
i
Z+t(1-t)Z-1E (nZ) ��˚
�� � 3˚79� �. 3˚gs
5�ˇ˘ )� r ��˚ � *nw 4;['e& �" H79˙ �u�˝ Q
2� �. 3˚gs˙ S$>$� #[ r ��˚� 4;['e&� gs ���
_7*e& =@˙ !;> 5�& 85�
Cxvi
xt=(1-t)Z-2[E (nZ)-nZ
i+t(nZi-ZE (nZ))]
)� _7*e& =@ˇ˘Ih UH˚˙ *�</d˝ fI;@ (�*5 H
3˚79� �.gs0 5�& 8˚ 7O� & P5�˚
31D-LJK.ps, page #10, Fri Dec 27 14:58:22 2013
�� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
ti=CE (nZ)-nZ
i
ZE (nZ)-nZi
��˚
r ��˚˘Ih `H�˙ ˝{ 7˛ H3˚79� �.gs SH˚��˛ �˚� !'.
8A( < & P5� T|N ~_ �.gs˚ �˚ ˛ _7*e& ˚0 E (nZ)-
nZi˚ z ˚ ˚0 :l˚& nZ
i˚� V: �" j� ˚ F˝ �� ˚˚ �
&* P5�
g @\ 3˚&zˇ˘ J�zB\˝ 3˚v,( \~ JZ( ˝{ U#˛
@3˚79� 3˚0 ˚ JZ� @L]� 693˚>5 1ˇ� 3˚79�
3˚0 @L]� 693˚>5 >0 K˚ _).2 $1˚5� T|N Lc3˚
79� 693˚˚ @L]� 693˚>5 >0\ 10\˝ *t�\ /0 K
˚ _).˚5� �"� @3˚79 �� U# ˝ E (nZ)-nZ1"0˙ @4�� 7
9 �� �.gs0 �GS�G� )0� T bF0 r ��˚( �s5� 3˚7
9 �� U# ˝ E (nZ)-nZ3#0˙ @4�� 3˚79 �� �. 3˚gs0
S�D�˚ w5� T|N Lc3˚79 �� U# ˝ nZ2˚� V: �" E (nZ)-
nZ2� ˚˚ j F˝ �� ˚˙ @R & Pˇ0˘ L U#( �� NvB S$h
y`@ P5� T|0˘ Lc3˚79� 3˚&z �" �.gs˚ 5s bF
˙@R&P5�+˛ E (nZ)#nZ2˚ ˛ S�D�˚ E (nZ)"nZ
2˚ ˛ t2=CE (nZ)-n2
Z
ZE (nZ)-nZ2
@ � K˚5�
˚}( Lc3˚79� �. 3˚gs˚ fI;( L˝ U# @3˚79�
�. 3˚gs& T V:( C); > ˛ c(* 7O˙ +�� S�HS�o˙ <
& P5� T|0˘ Lc3˚79� EO(� )0 �" � 3˚79� �.
gs� V:˝ F E (nZ)#n2Z2 U#˛ S�HS�DS�D�˚�˛ G E (nZ)"n2
Z˚ ˛
S�HS�HS�D�ˇ˘ BUw5� ˚}( Lc3˚79� gs � � �� 693˚
� 1�. V: �" @@ ['�˝ gs� 1�. )0@ S0e w5˝ K
0˛ �vn4;˙ )* 3˚gs˚ 40. ˝ ��� ?4z˝ U# Lc
3˚79� 40. c@˚ 8'.ˇ˘ S0e w5˝ K˙ �'*5�
�� �Z. �. gs
c?* �� 8Q( )�� ? 2! �˝ JZEEe&�j�S˚˚( ˚ JZ
31D-LJK.ps, page #11, Fri Dec 27 14:58:22 2013
˚k�˘MX ��
�˚ 6t � �n$ S˝ JZEEe&( 3˚gs ��� _7've˙ N$u5���˚ � Q2� =He&@ z[8˚"˝ @4 �G 3Ck 69\p�F˝ �@˚ ���
˘Te&k 80 C[8 8A( L˝5 @4*5 JZEEe&( *�</d˝ 3˚
gs0 j� ˚˙ @R &* P˙ K˚5� T|N C[8 =He&( ˝� 5� =
� ��{ 40. U6b8 � *nz˝ Y` T&F� ;˝ /�3˚` ˚˚ *n�
:@ Q# Bb5� :? b8 � Q2� =He&( z[8ˇ˘ @4eˇ˘) Y` T
&F� ;( �o8�BKNRDC ENQLR˚ˇ˘ *n{ & P5�
(��˝ b� Q2F� EE� (l* &>ˇ˘ 4�z˝ \˛Y� 8A(
˝{ K˚� 5�& 8˚ 4�*5�
6(t)=v3
i=1Xivi(t)
˚|* \˛Y� 8A� JZEEe&˘Ih ˝� & P˝ JZ. Q/
�� �. gs˙ !�: )�� � 79� 4;['e&˘Ih JZEEe&
( *n; > 5�& 85�
6(t)=C(1-t)ZE (nZ)
Z+t(1-t)Z-1E (nZ) ��˚
JZEE. Q/ � �.� 3˚gs˙ !�: )�� r ��˚ �* _7
'v =@˙ !; > ˛ 6t=(1-t)Z-2t(1-Z)E (nZ)˚5�˚ _7'v ˚ˇ˘I
h 5ch �*TGMc3TBJDQ˚ =@˙ ˝� JZ. �.gs t6D�o˙ < &
P5� ˚˝ Q2� =H˚ 3C �;�˝ [8˚� 69\p /c �;�
˝ C[8 Q7 P˝ z[8e&( ? 2! � JH� P: 7N˚5���˚
B� 4%U�,. b8� fE. 3˚gs� ?4�4���
˚jM( 4%
a� ��w :? b8 �˝ � Q2� =He&k JZEEe&( 0*�
�vn4; /h / � 3˚79˚ @@ ['�˝ �.� 3˚gsF˚ *
nz˛5� T=˘ � 3˚79 � @@ ['�˝ 3˚gs˚ 1˚�5˝ K0
4I� �vn4; /h ��� EO( &z˚ 1˚* � Q2F� 5j*
c@˙ �T� P5� �"� �L � 0**�˘ ? 2! �˝ � 3˚7
31D-LJK.ps, page #12, Fri Dec 27 14:58:22 2013
��� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
��˚ @3˚790 >0 &z� 3˚gs˙ ['�\~ 3˚gs˚ �˚ z˝ K0 �.˚ z
\ >*5� ˚˝ 3˚gs˚ �˚ z a� ��w Q2� �. 69\pg � ��
B� Q2* 69\p˙ �\ /˙ K˚: 7N˚5� +˛ &*�e >0 3˚gs0 BO˝ Q2� 69\p �\( ]m NBR˛e z �"� 3Ck �vn( )* 3˚*
[˛\ >�e z˝ *(.2 U#@ WEw5�
9 i* Q2F˚ $GF e K˛* 3˚gs˚ 4; ?4&4 � ˝�
& P*�˛ 4I RX7˙ hJ{ & P˝ ˚jM(˙ 8(�� �<�˝ ˚
jM( 40b8˙ ˝*5�
˚jM( 40( 0*�˝ 5j* b8˚ (��\~ ? 2! �˝ !DQMGDHL
@MC 6GHMRSNM��� ˚ # &QNRRL@M @MC 'DKOL@M�����˚� 2! � ˝w \9�
˛2 eoˇ˘� �vn N�( 0*�:˘ *5� ˚ JZ� !(]F0 g @
\ &z� 5j* EO(˙ \y P5˝ :? b8� @4 �; � Q2F
0 @3˚˛ Lc3˚ # 3˚79 L �N� 79 i�e w5� T=˘
@3˚79 i* Q2� EO(0 ˚ JZ� ]� EO(>5 1ˇ0˘ z*
� >0 3˚�vn &z˙ ['�e � K˚5� ˚˝ r ��˚( ˝; h 7˛
EO(˚ @@ 10 Q20 z*� >0 &z� 3˚�vn@ ˚bB\ T�
˘ $G˚ �4 \�* &z>5 >0 &z� 3˚˚8˙ �˙ & P: 7N
ˇ˘˛ ˚ U# @3˚79� ˚j˙ �T�˝ ˚jM(0 z*� >0 3˚
gs˚ ?4� & P*� 4I RX7˙ hJ{ Kˇ˘ mV{ & P5���˚
T|N :? b8 � 04w 3˚79 i* Q2F0 @3˚79 i*
Q2F&˝ P˛ $GF� EE˙ *�<�: ); 3˚gs˚ �˚ z˝ K˙
['*5� ˚˝ _( �vn@ ˚bB\ B(* j� ˚˙ L˝ 3˚gs
����* $G˚ �4 IJ* CH˚ ˚83˚>5 Ve z: 7N˚5�
�"� 3˚79� ˚j˙ �T�˝ ˚jM(0 �vn4; /h �s $
G� 3˚ ,T˚ �3*� &zˇ˘ ˚bB\*� 4I( 0˚�e � K˚
5� T|N �vnk QHw Lc3˚79� 40. c@0 *t�\ /5� ˚
˝ a� ��* S P,˚˛ Lc3˚79� gs � � �� 693˚˚ ˚ J
Z� gs � � �� 693˚� @L]�>5 1�.ˇ˘ 1 &* �˙ &*
P: 7N˚5�
+TOT @MC /NMSTRRNM�����˚� 2! � *p* K}(˛ Lc3˚79� 693
˚˚ gs � � �� 693˚� @L]�>5 �5 �V5 ˚˛ ˚˝ @� ˚3
˚79� gs � � �� 693˚ 1�.ˇ˘ @]e )0�e w5˝ K
˙ �'��˛ @� ˚3˚79˚ ['�˝ 4;& @}5 &z� �vn4;˚
31D-LJK.ps, page #13, Fri Dec 27 14:58:22 2013
˚k�˘MX ���
��˚ Lc3˚79� 8'. [�& QHw $g* 40U�,. v;0 5� ��� \9
�˛2 U: � $gO 3Q� K˚5�
cu� & P*� 40.2 ˝( �e � K˚5���˚ ˚}( �vn4;& Q
H�� 1\z˝ ˚;Q7@ P˝ 3˚79F� 8'. c@0 \9�˛2 U
:( ˚H�� ;;; h & P5� ˚ U# $G� ˚j˙ >'�: )�� ˚
jM(˙ 8(�˝ � 3˚790 [$o& 80 40. :Ih)( +��
4;cu$ e $G� c@˙ 8P�0˘ ?Y2�OQHMBHOKDR˚˙ˇ˘ ˝z ˛ 4I
˝ 4;cu$˘� � 3˚79 � U6.ˇ˘ �/z˝ :I( ˝�� $
G� X.e&@ *�<� & P˝ 4;&z˙ [��˝ ?�˛2�@FDMS˚˙ &{˙
�e � K˚5�
�� 4;cu$� X.e&
4I˝ �vn4;˙ /h�: )�� � 3˚79˙ ˚b˝ !(]F e
(_CHgs˚ .Hw 3˚g( I&*5 @4�$� T˛ &QNRRL@M @MC
'DKOL@M�����˚ � ��w Qgk QHw JH}( � 3˚79˚ 4;cu$
@ 3˚gs˙ ?4�˝ &4 � $GF e K˛* gs˚ ?4� & P*�
4I e $o˙ 9]* ˘C"9& 80 RX7˙ hJ{ & U#( ˝;
>$� ˚ U# 4I�4;cu$˛ 40@˚˝ *{ˇ˘ JZEE˚ *�<z: )
�� 67�˝ $u˘5 JZ7N@� b@ P˝ ) ˛ 5s *{ˇ˘˝
5� [ �* !˛�: )�� [$o˙ bo�˝˘ 67�˝ 40@˘�
� b( 9/ \y˝ @4˙ *5� ˚ U# 4I� X.e&�&�S˚˚˝ 5�
& 8˚ 4�� & P5�
G(t)=_6(t)+vj
tj(t) �,˚
�:� j�S˚˝ r ��˚� JE. EEe&( N$f zI�S˚0 5j* 3˚7
9F˚ 8(* ˚jM(F˘Ih �/w $o :Ie&( �� N$f P5�
T˛ r �,˚ � JZEEe& a ˇ� P˝ B"'h e˝ JZ. EE&
� ˚jM(ˇ˘Ih� &:Iol ��� 4;cu$@ �(�˝ 1�.2
CL˙ N$f P˝˘˛ T ˚˚ �]R&� 4;cu$˝ _) 6!� EE
&z>5˝ � ˚jM(ˇ˘Ih� 40$o bo 1�.ˇ˘ H CL˙ L
31D-LJK.ps, page #14, Fri Dec 27 14:58:22 2013
��� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
��˚ $g* ��˝ %QDCQHBRRNM @MC 2UDMRRNM�����˚˙ m={ K���˚ :Ie& t0
j � �n$ I˝ b� 3˚79F˘Ih {( @D* ˚jM(F˙ N$f
P5� �"� I˝ � 3˚79ˇ˘Ih =*w ˚jM(_ &* Pˇ� ˚;Q7@ C�
* ˚jM(F� 7ˇ˘ 8(w +˘5 ˚jM(ˇ˘ ;;� &* P˙ K˚5� ? �� �˝ B� 3˚79˚ ˚jM(˙ 8(�˝ U# b� !(]˚ m�� ˚jM(
˙ =*�˝˘ !(]F J˚ � Ao!w $1˚ WE�\ /˝5 @4*5� $g*��˝ .KRNM���,�˚˙ m={ K�
B� :ZY�.˚ C/u.2 /� � �vn4;˙ 9k{ @D(˚ >]
\˝ K˙ �'*5���˚ T|N � 3˚79˚ 4;cu$ ��� 40.ˇ˘
B(* RX7* hJ{ �J@ ˚B� 40. :I( �\ /˝5 *5 ˛
3˚gs ?4 PB� 4;cu$� X.e&˝ $C˘5 JZ7N@�@
RNBH@K OK@MMDQ˚� TK& 9_�e zB˛ ˚˘Ih ?4z˝ 3˚gs0 �˚ �
Ko˙ �({ & P5�
�� ˚jM(F� 4%. U6� \9�˛b8
? f �˝ � 3˚79� ˚j˙ ); 8(w � ˚jM(F˚ $GF˚
['�˝ 3˚gs Cg�*� T� 3˚gs˚ [�� & P*� 4;cu
$ e [$o :I( U6.ˇ˘ Yi�˝ U#˛ 40. �8ˇ˘� 3˚g
s� ?4&4˙ S$?5� �vn4; ?4&4˚ \9�˛2 U:˘ khw
5 �8ˇ˘ *nz˝ 3˚gs& :Ie&@ ~�;d �˝ =@˙ ]Gk
8˚ c'O `Y*5�
:`Y �< !DQMGDHLc6GHMRSNM��� ,˚� >=4˛ �k &QNRRL@Mc'DKOL@M�����˚�
4˛ � �"˛ �vn4; QH [$o :IU6 U: � ˝z˝ 3˚g
s S�k :Ie& t0j˝ 5�=@F˙ ~��˝ IvU: *8�8�@ RTAF@LDc
ODQEDBS -@RG DPTHKHAQHTL˚ˇ˘ *n� & P5���˚
F ˚jM( I� �2> �8:Ie& t0j˝ ˚ Q2� 3˚ V:>5 V\ /
]d *5�
G QH � ˚jM(F� :Ie& t0j@ YBk U#˛ 4I˝ $G� X.e
&( *�</d˝ 3˚gs˙ [�*5� t0=argmax_6(t)+vj
t0j(t)
H B� ˚jM( J �;�* �8 3˚gs S�˝ T ˚jM(� lX.e
&k 4;cu$� X.e&( e$ *�</[d *5� t0=argmaxvk(t)-t0k
31D-LJK.ps, page #15, Fri Dec 27 14:58:22 2013
˚k�˘MX ���
�˚ 4;cu$ e˝ 3˚gs S�k S>J˝ Aw˚* 4; [�˚5� �"� �8 � 4;c
u$� [�˚ S�@ z*� ~ ˝ K0 S˘ ˚jM( J˘Ih �/z˝ :Ie&
t0k(t)"0� (�˚5� $g* fH0 &QNRRL@M @MC 'DKOL@M�����˚˙ m={ K�
+_6(t)+vj
t0j(t)
I B� ˚jM( J@ �/* :Io˚ t0k(t)=02 U# 4;cu$@ [�
* 3˚gs S>J˝ _6(t)+ vj(k
t0j(t)( *�</�5�
=@ H0 �8 3˚gs& :Ie& ? 5s B� gs& :Ie&( +
˘˚ 7Neˇ˘) ˚jM( F˝ 4;cu$� EE&z˙ p@/d: );�
˝ j U:$ @5˘ * U:$� EEB3( ) / IG�e w5˝ =@˚
5� �"� ˚ =@˚ ~�z\ /˝5 ˛ QH ˚jM(0 *�"* :Ie&
( +˘˚ 7N� � 4;cu$� 5s 4; [�ˇ˘Ih EE˙ pk�e
z0˘ �8 1A ˚q˝ =@˚ � & ˚5� =@ I˝ ˚jM( J˘Ih
:Io˙ Yi�\ >*5 4;cu$˝ �8 1A � *˙ & P˝ =H&
z˙ T�˘ K\�\~ ˚jM( J� EE&z˙ B3/d˝ 4; S>J( [�
�e w5˝ =@˚5���˚
˚jM( J@ �/�˝ :Ie& t0k(t)@ 2i( @4˙ ~�� ˛ U6 L
2 B(* 5s ˚jM( I�`J˚@ �/�˝ :Ie& ��� �[� �<2
U#˛ �8 3˚gs S� C: � )� =@F˚ ~�;d *5� �"� �8
3˚gs˙ *n�: )�� Gk H =@ �* _7*e& =@˙ !;>
5�& 85�
vj
Gt0j(t0)+_G6(t0)=0
Gvk(t0)-Gt0k(t0)+v
jGt0
j(t0)+_G6(t0)=0
�"� )� L =@ˇ˘Ih 9/ ~�z˝ ˛ B(* ˚jM( J �;
�*˛ Gt0k(t0)=Gv0
k(t0) =@˚ (x;d *5˝ K0 ! <˝k ?&˚5� ˚
=@ˇ˘Ih J˚jM( (��˝ �u. Q20 4; T< �<�� $G
� =H T<v& 4tO _0�*� 4;cu$ e �/�˝ :Io &z˙
T</[d e˙ �'*5� �"� ˚ \9�˛2 U:� �8 3˚gs S�@
3QTSGETK -@RG �8ˇ˘ *nz: )* =@0 5�& 85�
31D-LJK.ps, page #16, Fri Dec 27 14:58:23 2013
��� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
�˚ t1" � �n$ �-˝ 3˚79 �M(~˚ 4;cu$ ��� 40. RX7˙ hJ�
˝ U#( �'*5� :' - 5� ˝ 40.ˇ˘ U6�˝ ˚jM(� 4'@ u:zN
t0=argmaxvj
vj(t0)+_6(t0) �˚
˚k e$ �8 :Ie&( *n; >$� 4;cu$ e˝ 3˚gs S�k S>J
˝ Aw˚* 4; [�˚0˘ �8 :Ie&˝ 4;cu$˘ ��o �8 3˚
gs S�( [��*� K*�˝ t0k(t)@ w5� �"� �8 :Ie& t0
k(t)˝
&QNRRL@M @MC 'DKOL@M�����˚� r ���˚ �" 4;cu$� X.e&˘Ih
~�z˝ G(t0, t0k, {t0
j}j(k)=G(t-k, 0, {t0j}j(k) =@ � *n� & P5�
�� #j% ˚jM( 4%& Lc3˚79� 8'. [�
? f �˝ 3˚�vn N� � Lc3˚79� ˚;Q7 �s 8'.
[�˙ 0*�: )�� F @3˚79� ˚jM( 40˛ G @3˚79&
3˚79˚ 40.ˇ˘ U6�˝ U# # ˚ �s LO9� 8'. [�˙
S$?5� JO˛ G� U# ˝ Lc3˚79˚ P$.ˇ˘ 40. RX7˙ h
J�˝ U#˛ @3˚79& 7�˝ U# # 3˚79& 7�˝ U#˘
�� NvB 0*� T˘Ih Lc3˚79� 8'. [�ˇ˘Ih ˝�
& P˝ 40U�,. e�( �/� $ *5�
��˚ @3˚79� ˚jM( 4%
4I� 3˚�vn N� ��� B� 3˚79* 40.2 RX7˙ hJ
�: )�� 4;cu$ e :Io˙ Yi�\ /˝5 ˛ ?4z˝ 3˚gs
0 JZEE &z˙ *�<�˝ &z � ?4� K˚ ˚ 7N 3˚�vn
4;0 /hz\ /˝ K˚ �[� [�o˙ a� S$>.5� ˚ ?&˝ 3
˚79 e @@ K˛* [�˚0˘ 3˚�vn( ['�˝ @3˚790 ?6
˚jM( 40 '3�e � K˚5� T|0˘ @3˚79~˚ $GF e K
˛�*� �vn4;˚ /h� & P*� ˚jM(˙ 8(�� 40. RX7
˙ hJ�˝ U# [�z˝ 3˚gs0 r �˚ �" 5�& 8˚ *n� &
P5�
t1=argmax_6(t)+X1v1(t)��˚
31D-LJK.ps, page #17, Fri Dec 27 14:58:23 2013
˚k�˘MX ��
˚ U#˝ 3˚79 �M(~˚ 40. RX7˙ hJ�˝ JH( u/�0˘ ]A K*
u:z\ /.5� ~_ 3˚79 �M(& 3˚79 �M(˚ 40.ˇ˘ 2��� ˚jM
(˙ 8(�˝ U#˝ �˛�-˘ u:�:˘ *5� F* ˚F˚ 3˚79 �& 40.ˇ˘
U6*5 �˛�-�ˇ˘ u:�� ˚7 ?4w 3˚gs0 t1,2"3ˇ˘ �� u:�:˘ Y
i*5� T˛ 3˚79 �˛ � # �M(˚ bL P$.ˇ˘ 40. RX7˙ hJ�� 40/@ � ?4z˝ 3˚gs0 t1"2"3ˇ˘ u:�:˘ Yi*5�
t1"=CX1(E (nZ)-nZ
1)X1(ZE (nZ)-nZ
1)+(Z-1)_E (nZ)
�"�@3˚79~˚ 4;cu$ ���˚jM(40( *5 E (nZ)"
nZ1 # `H� =@ �"� j˙ ˚˙ L˝ 3˚gs�t1""0˚˚ [�z˝˘˛ ˚
˝ @3˚79˚ ['�˝ 3˚gs& KJ* Kˇ˘ ˚ gs˚ [�z ˚
JZ � 3˚�vn@ ˚bB\e w5�
��˚ @3˚ * 3˚79� ˚jM( 4%& Lc3˚79� ˚jM( 4%
m,
@3˚79˚ $G e K˛* 3˚gs˚ ?4� & P*� 40. RX7
˙ hJ*5 3˚79� 3˚� _I@ @3˚79 e ˚8z˝ 3˚�v
n@ ˚bBR & Pˇ0˘˛ 3˚79 F* ˚ �<�� U6.ˇ˘ 4I
� 3˚gs ?4&4 Qc{ K˚5� ˚ U# 40. /@ � ?4z˝ 3
˚gs0 b� U:$F˚ 3QTSGETK �8 :I8'˙ JH�˝ U# 5�& 8
˚ ?4� K˚5�
t1"3=argmax_6(t)+X1v1(t)+X3v3(t) � ˚
r � ˚ � @3˚79 �& 3˚79 � � =*w ˚jM(F˚ 4;cu
$ e :Io Yi˙ +�� U6.ˇ˘ RX7˙ hJ�˝ U#˛ 5�& 8
˚ Lc3˚79ˇ˘ vNw Q2F� gs � � �� 693˚� 1�. &
z �" 40. �8ˇ˘ [�z˝ 3˚gs0 5�& 80 1˚* &z˙
>˚e � K˚5�
F E (nZ)&nZ2 U#˛ t1"3=0
G E (nZ)#nZ2 U#˛ t1"3=C
X2(nZ2-E (nZ))
X2(nZ2-ZE (nZ))+(_+1)(Z-1)E (nZ)
"0��˚
31D-LJK.ps, page #18, Fri Dec 27 14:58:23 2013
�� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
��˚ r � ˚� _7*e& =@ˇ˘Ih fI;@ (��˝ U# t1"3"0@ (x*5�
�:� YX;d { K0 E (nZ)#nZ22 U#˛ Lc3˚79˚ @@ ['�˝
�. 3˚gs0 S�D�˚\~ @3˚79& 3˚79� ˚j˙ �T�˝ ˚
jM(F� 40. U6 ��� T�˘ [�z˝ 3˚gs˚ t1"3"0˚ w5
˝ /˚5� ) E (nZ)&nZ2˚" ˛ Lc3˚79˚ @@ ['�˝ gs˚
t2=CE (nZ)-nZ
2
ZE (nZ)-nZ2"0˚\~˛ T�˘ @3˚79& 3˚79� ˚j˙ �T�
˝ ˚jM(F� 40. U6� ?&˛ [�z˝ 3˚gs0 t1"3=0˚ w5� @
3˚79& 3˚79� 40. U6 � � ?4z˝ 3˚gs0 B(* U
#˚�\ Lc3˚79� �. gs&˝ w˚@ E:e w5� �"� Lc3˚
790 Na\ L 3˚79� 40. U6˙ +�� ?4z˝ 3˚gs ��
� b� U# PB� EE&z˚ B3z0˘˛ ?6 3˚gs ?4&4 $
GF* 40.ˇ˘ Qc� $ �˝ K2˚ E/5� 5/ h� ˛ ˚jM( 4
0 ��� 3˚gs˚ ?4w5 b� 3˚790 �vn N� � $GF
� ˚j˙ >'�: )�� ˚ 40. U6 m�;d �˝ K˚ �[� [�
˚ w5�
b� U# PB� Lc3˚790 ˚jM( 40 m��/\~ T :V
0 8'. V � ˝zBd *5� +˛ Lc3˚790 8'. ˝ �"
F P$.ˇ˘ ˚jM(˙ 8(�N G �. 3˚gs ��� C�* ['
( @\ P˝ 5s ˚jM(& 2�( +�� 40.2 RX7˙ hJ�˝
:V˙ .!�e � K˚5� �"� 5� �� �˝ Lc3˚79� ˚jM(
m� I/˙ @9B P$.2 ˚jM( 40 m��˝ U#( S$? E˛
˚F� 693˚ &z˚ E (nZ)&nZ2 U#k T )�2 U#˘ NvB ˚F e
�[� 8'. [�˙ v;*5�
�˚ Lc3˚79� P$.� ˚jM( 4% m
@3˚79& 3˚79˚ ˚jM( 40 m�� P˝ 1M � Lc3
˚79 F* P$.ˇ˘ ˚jM( 40 m�*5 40. �8ˇ˘�� 3
˚gs0 b� ˚jM(F˚ 3QTSGETK 8' �" U6.ˇ˘ :I"9˙ �˝
U# r �˚ �" 5�& 8˚ ?4� K˚5�
t1"2"3=argmax_6(t)+X1v1(t)+X2v2(t)+X3v3(t) ��˚
31D-LJK.ps, page #19, Fri Dec 27 14:58:24 2013
˚k�˘MX ���
��˚ r ���˚ � JZEEe&˝ 6<(t)=(X1+X2)[(1-b)v1(t)+bv2(t)]+X3v3(t)ˇ˘ 4�w
5� ˚ U# JZEE˙ *�</d˝ 3˚gs0 �˚ ]y5�
t1"2"3=�
˚˝ r ��˚ � S$? JZ.ˇ˘ �.� gs�t6D�˚& 9_* ?&( N
$f PB� b� 3˚79˚ P$.ˇ˘ ˚jM( 40 m��˝ U#˛
3QTSGETK 8' [� �" =s.2 3˚gs˚ *n� & P�˙ < & P5�
�˚ E (nZ)&nZ2 U#� @3˚79�� 4%. 7
Lc3˚79 3iw Q2F� EO(˚ E (nZ)&nZ2 )0 P˝ U#˛ ˚
F˚ @3˚79& 3˚79� 40. U6 m��\ /˝5 4I� 4
; [� t1"3=0 * �e � K˚5� T|N E (nZ)&nZ22 U# Lc3˚7
9˚ @@ ['�˝ 3˚gs0 S�H�@ w5� �"� ˚7 Lc3˚790 3
˚�vn4; PB� $G� EE ,T˙ �3</d: )�� 40.ˇ˘
@3˚79& 40.ˇ˘ 7{ K2˚ E:e w5� ? �� �˝ @3˚7
9& Lc3˚79� 7 �" 8(w +˘5 M(� �2> {j� V:˝
!(]F e 9_�5 @4*5� �"� T V:˝ L M(� �2> {jF
� h�?>�BNMUDW BNLAHM@SHNM˚ˇ˘ N$� & P5�
40. 7ˇ˘ 8(w ˚jM(� �2> {j˙ ��ˇh˚U��S˚˝hU��S˚˛ h˚��˛ �˚ˇ˘ 4�{ & P5� �"� L M(� 40. 7ˇ˘ 8(w +˘5
˚jM(� :Ie&˝ 3QTSGETK :I8' �" ˚|* h�?>ˇ˘ N$N
˝ �2> 4;['e&@ 4;cu$� 4; [� / )Rz*� 7N� K˚
5� ˚ U# ˚jM( 40˘ 2; ?4z˝ 3˚gs0 5�& 8˚ ?4w5�
t1,"2"3=argmax_6<(t)+(X1+X2)[(1-b)v1+bv2(t)]+X3v3(t) ���˚
r ���˚0 3QTSGETK :I8' �" � ˚jM(F˚ 4;cu$ e RX7
˙ hJ�˝ U# 40. �8 � ?4z˝ �8 3˚gs˙ N$f P5��˚
�:� @3˚79& Lc3˚79˚ +˘5 ˚jM(˙ 8(� � 9_* &
z� �2> {j˙ b� !(]F e >@*5 ˛ T 7 @D* �2> ��{
j0 vmax1,2 ,C
X1
X1+X2v1(t)+C
X2
X1+X2v2(t)˚0˘ vmax
1.2 &(1-b)v1(t)+bv2(t)� =
31D-LJK.ps, page #20, Fri Dec 27 14:58:24 2013
��� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
��˚ T|N ~_ L M( c� 40. 2� 8( GCH˚ (�*5 1-b&CX1
X1+X2=
@~ (x�� r ���˚� �. gs0 f1 �>5 1 K˚5�
@˙ ~���d *5� ˚ =@˙ c(O 4˛� 1-b&CX1
X1+X2@ w5��˚ ˚
( ˝{ 7˛ r ���˚� _7'v =@˙ ˚H�� 40. 7 �s �.
gst1,2"30 5�& 8˚ *nw5�
t1,2"3=mC
(X2-X1b-X2b)(nZ2-nZ
1)(X2-X1b-X2b)(nZ
2-nZ1)+(Z-1)E (nZ)
"0, i j1-b"CX1
X1+X2
0 , i j1-b=CX1
X1+X2
���˚
)� ?&( S$> ˛ 1-b"CX1
X1+X22 U# ˝ �. gs0 t1,2"3"0@ z
0˘ Lc3˚79˚ @3˚79& 7{ K2˚ (��\~˛ 1-b=CX1
X1+X22
U# ˝ r ���˚& r ��˚@ 9_�e zB t1,2"3=t1"2"3=0˚ z0˘ Lc3˚
79 e˝ @3˚79& 7{ K2˚ (��\ /˝5�
*{˛ Lc3˚79�Q2F e˝ r ���˚ �/w �8 3˚gs�t1,2"3"�˚
˚ [�z˝ K˚ S�� gs � � �vn ˚˚ $GF� 693˚ˇ˘~ 3
C�˝ K>5 x N0 [�2\ S$>$� Lc3˚79˚ @3˚79& 40
. 2�( *5 ˛ ˚ �s �2> 4;['e&˝ r ���˚ �" v1,2(t1,2"3)D
(1-b)v1(t1,2"3)+bv2(t1,2"3)˘ N$� & P5� TB5 3QTSGETK 8' �s
�2> :Ie&˝ 5�& 80 V:( L˝5�
t1,2(t1,2"3, B 1,2)=max[0, v1,2(t1,2"3)-B 1,2]
�:� !�˛�˝ Lc3˚79˚ @3˚79& 2��� 4;cu$ e RX
7˙ hJ�: )�� :I�˝ U# ˚ �s l{j�F˝ l>&˚� V:˚
5� �"� @3˚79& Lc3˚79� N�˝ ˚ l{j� V:( *�<�
˝ K˚" h & Pˇ�˛ ˚ X.˙ P(�: );�˝ 4;cu$� X. F
* 40.2 � 79F˚ 3QTSGETK 8' �" U6.ˇ˘ :I( �u�˝ U
# *�<� & PBd *5˝ K˚5� �"� ˚ L 79˚ 40.ˇ˘ 7
�˝ U# 5� =@˚ ~�zBd *5�
31D-LJK.ps, page #21, Fri Dec 27 14:58:24 2013
˚k�˘MX ���
maxB 1,2, s.t. G(t1,2"3, B 1,2)&G(t, B 1,2)
�:� &�S˛ !�˛�˚D�^�˝^�˚z�˛��S˛ !�˛�˚˝^�z��S˛ B 31,2"3)+_6(t)� 8'.ˇ
˘ =Q7 P˝ ˚ L 79� N�˝ U6Q7 P˝ 3˚79˚
3QTSGETK �88' �" �2> �8 l{j� V:( B 31,2"3˘ ?4* U#
$GF F* 40. :I �s l{j� V:( ?4�e � K˚5� �"�
˚ L 79� 40. 2�˘ ˚bBk ˚jM(0 4;cu$@ �84;
t1,2"3 ˚? 5s B� �u˙ [��\ >�*� :Ie&( ˝�˝ @5
˘ $GF� l{j� V:@ *�<� & P*� 67{ K˚5� T|0˘
!DQMGDHL @MC 6GHMRSNM��� ,˚� 3GDNQDL � �" L 79� 2�˘ ˚bBk
˚jM(� :Ie&( ˝; >$� #[ ˚ ˚jM(ˇ˘Ih� :I@ ˚ˇ
� ˚F& 40. U6Q7 P˝ 3˚79~ 3QTSGETK 8' �" :I(
*5 4;cu$˝ t1,2"3 ˚? 3˚79˚ x ['{ & P˝ 4;˙ [
�{ & P˝˘˛ ˚( 5�& 8˚ 4�� & P5�
t"3=argmaxX3t3(t, B 1,2"33 )+_6(t) ���˚
r ���˚ �" t"3˚ 4�w5 ˛ ˚ L 79� 2�˘ 8(w ˚jM(ˇ˘
Ih 4;cu$ e �/z˝ 40. :Ie&˝˛ ˚jM(F˚ bL 3QTSGETK
-@RG �8 :I8'˙ [��˝ U# &QNRRL@M @MC 'DKOL@M�����˚ ���
5�& 8˚ 7N� K˚5�
(X1+X2)t1,2(t1,2"3, B 1,2"31,2 )+X3t3(t1,2"3, B 1,2"3
3 )+_6<(t1,2"3)
=X3t3(t"3, B 1,2"33 )+_6(t"3)
) =@˙ 3QTSGETK :I8' �s �2> :Ie&( ˝�� 8Q; >
5�& 85�
(X1+X2)(v1,2(t1,2"3)-B 1,2"31,2 )+X3(v3(t1,2"3)-B1,2"3
3 )+_6<(t1,2"3)
=X3v3(t"3)-X3B1,2"33 +_6(t"3) ���˚
31D-LJK.ps, page #22, Fri Dec 27 14:58:24 2013
��� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
��˚ $g* fH0 &QNRRL@M @MC 'DKOL@M�����˚( m={ K�
T=˘ ~_ 4;cu$� 4; [�˚ t"3 gs˚" ˛ 3QTSGETK -@RG �8
� �˝ L 79� 2�˘ wEw ˚jM(ˇ˘Ih� 40. :I˝ >2O
� &z˚ � K˚ ˛ ˚ U# v1,2(t"3)'B 1,2"31,2 � =@˚ `!w5���˚ ˚ e�(
˚H�� ) 8Qr˙ 4˛� 5�& 85�
(X1+X2)v1,2(t1,2"3)+X3v3(t1,2"3)+_6<(t1,2"3)
&X3v3(t"3)+_6(t"3)+(X1+X2)v1,2(t"3)
) Q7 IWr˙ 4� �" 8Q; > 5�& 85�
(_+1)[(X1+X2)(1-b)v1(t1,2"3)+(X1+X2)bv2(t1,2"3)+X3v3(t1,2"3)]
&[(X1+X2)(1-b)+X1_]v1(t"3)+[(X1+X2)b+X2_]v2(t"3)+X3v3(t"3)���˚
T=˘ r ���˚ˇ˘Ih 79 c 7ˇ˘Ih 8(w ˚jM(� 40. :
I@ j� ˚˙ L˝5 ˚F� l{j& QH�� 5� fWr˙ 8Q; h
& P5�
(_+1)[(X1+X2)(1-b)v1(t1,2"3)+(X1+X2)bv2(t1,2"3)+X3v3(t1,2"3)]
-(_+1)[X1v1(t"3)+X2v2(t"3)+X2v3(t"3)]
=(X1+X2)B 1,2"31,2 X1v1(t"3)-X2v2(t"3)
���˚
r ���˚� YT0 r ���˚� IWr˙ ˝; > �>5 H ˚o˙ < & P
5� ˚ ?&˘Ih 5�& 80 ?&@ *nw5�
(X1+X2)B 1,2"31,2 X1v1(t"3)-X2v2(t"3)&0
T|0˘ 3˚�vn( )* 3˚gs ?4&4 � Lc3˚79˚ @3˚
79& 7eˇ˘) 8(w +˘5 ˚jM(˙ +�� 3˚79& 40.
:Io U6˙ *5 *˙ & P˝ M( 8'� l>&�MDS O@XNEE˚� V:@
40.ˇ˘ 4; ?4&4 m��\ /˝ U# *˙ & P˝ l>&� V
31D-LJK.ps, page #23, Fri Dec 27 14:58:24 2013
˚k�˘MX ���
:>5 V5˝ K˙ < & P5� ˚ ?L0 ,DMT @TBSHNM U: m��˝ K
˚ m��\ /˙ 7>5 l{j˚ V*� eo˙ 0** S P˝ !DQMGDHL
@MC 6GHMRSNM��� ,˚� 3GDNQDL �� ?&k _0*5� T|0˘ Lc3˚79�
EO( &z˚ E (nZ)"nZ22 c@ P˝ U#˛ @3˚79& 40.ˇ˘ 7
�� 40$o :IU: m��˝ K˚ 40.ˇ˘ ]A= h9˙ F�\ /
˝ U#>5 l{j˚ V5˝ K˙ < & P5�
�˚ E (nZ)#nZ2 U#� 3˚79�� 4%. 7 �˝ P$. ˚jM(
4% m
Lc3˚79� gs � � �� 693˚ �nZ2˚ &z˚ ˚ JZ� gs � �
�� 693˚� @L]� �E (nZ)˚>5 H U# Lc3˚79˚ 40.ˇ˘
m��\ / ˛ @3˚79& 3˚79~ �˘ 40. U6˙ *5 4I�
4; [�0 t1"3"0˚5� T|N E (nZ)#nZ22 U# Lc3˚79˚ @@ [
'�˝ 3˚gs0 S�D�˚5� �"� ˚ U# Lc3˚790 3˚�vn4;
PB� $G� ˚j˙ >'�: )�� F 40.ˇ˘ 3˚79& 2��
� 4; ?4&4 RX7˙ hJ�N F˝ G P$.ˇ˘ RX7˙ hJ�
˝ :u W˙ ˝; h K˚5� a� S$? K}( b� ˚jM(F˚ P$
.ˇ˘ 4;cu$ ��� RX7˙ hJ�˝ 3QTSGETK 8' �" :IU
6˙ *5 4;cu$@ [��˝ 3˚gs [�0 t1"2"3=0˚ w5� ) F
� U# &/ t1"2"3=0˚ P(� & P˝\ S$h y`@ P5� ~_ L U#
bL 9_* gs˙ P({ & P5 ˛ L U# � *˙ & P˝ l>&� V
:( C)�� x H U#( 8'.ˇ˘ [�{ K˚5� T|N F˚ t1"2"3=0˚
"˝ �.gs˙ P({ & ˚5 Lc3˚790 f1 P$.ˇ˘ RX7˙
hJ�˝ K˚ �[� [�˚ � K˚5�
a� ��* Sk pp@\˘ Lc3˚79& 3˚79� 7 �" 8
(w +˘5 M(� �2> {j� V:˝ !(]F e 9_�5 @4�0˘
˚ U# &/ T V:( L M(� �2> {jF� h�?>ˇ˘ N$� & P
5� +˛ 40. 7ˇ˘ 8(w ˚jM(� �2> {j0 ��ˇh˚U��S˚˝hU�˛ h˚��˛ �˚ˇ˘ 4�w5� ˚ U# ˚jM( 40˘ 2; ?4z˝ 3˚gs0 5�
& 8˚ ?4w5�
31D-LJK.ps, page #24, Fri Dec 27 14:58:24 2013
��� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
��˚ r ��,˚� JZEEe&˝ 6=(t)=X1v1(t)+(X2+X3)[(1-b)v2(t)+bv3(t)]˘ 4�w5�
��˚ ~_ L M( c� 40. 2� 8( GCH˚ (�*5 1-b"CX2
X2+X3=@~ (
x�� �. gs0 �>5 1 K˚5� ˚ U# r ��,˚� �. gs0 f1 �>5 V0˘Lc3˚790 3˚79& 40. 2�( 8({ K2˚ (��\ /˝5�
t1"2,3=argmax_6=(t)+X1v1(t)+(X2+X3)[(1-b)v2(t)+bv3(t)] ��,˚
r ��,˚0 3QTSGETK :I8' �" � ˚jM(F˚ 4;cu$ e RX7
˙ hJ�˝ U# 40. �8 � ?4z˝ �8 3˚gs˙ N$f P5���˚
T=˘ L M(˚ +˘5 ˚jM(˙ 8(� � b� !(]F˚ 9_* &z
� �2> {j˙ vM5 ˛ T 7 @D* �� �2> {j0 v2,3max,C
X2
X2+X3
v2(t)+CX3
X2+X3v3(t)˚0˘ v2,3
max&(1-b)v2(t)+bv3(t)� =@˙ ~���d *
5� ˚ =@˙ c(O 4˛� 1-b&CX2
X2+X3@ w5���˚ ˚( ˝{ 7˛ r
��,˚� _7'v =@˙ ˚H�� 40. 7 �s �.gs0 t1"2,30 5�
& 8˚ *nw5�
t1"2,3=mC
(X3-bX2-bX3)(nZ3-nZ
2)(X3-bX2-bX3)(nZ
2-nZ1)+(Z-1)E (nZ)
"0, i j1-b"CX2
X2+X3
0 , i j1-b=CX2
X2+X3
��˚
)� ?&( S$> ˛ 1-b"CX2
X2+X32 U# ˝ �.gs0 t1"2,3"0˚ z
0˘ Lc3˚79˚ 3˚79& 7{ K2˚ ˚ˇ�˛ 1-b"CX2
X2+X32 U
# ˝ r ��,˚& r ��˚@ 9_�e zB t1"2,3=t1"2"3=0˚ `˙ < & P5�
�"� ˚ U# Lc3˚79 e˝ 3˚79& 7�N P$.ˇ˘ 40
. RX7˙ hJ�˝ 8'˚ Aw˚;k5� �"� Lc3˚79˚ 3˚7
9& 40.ˇ˘ 7{ & P˝ K_* U#˝ �2> {j˚ ��@ z*�
40. 2�@ 8(� 7˚�˛ ˚p@* Lc3˚79˚ P$.ˇ˘ 40. R
X7˙ hJ{ 7k 5J˚˝ ?&( @"s5�
31D-LJK.ps, page #25, Fri Dec 27 14:58:24 2013
˚k�˘MX ���
C� `Y � ?�
3˚�]W 4*� l<˝ 3˚79 c ˝W˙ =@�� JZ( vE/T &
P˝ ?I�U�. (˙˙ \y P˝˘˛ ˚˝ \i.ˇ˘ �]W˚ l<z
(@˚ z9B\ Lc3˚79˚ /w \9<z � @.* !YY� �**
e$ R%z˝ W T �B@ JZ # U�˛ l\B˝ 6@ 4' }\ l�*
) ˚ � & P˝ ]2˙ �\�: 7N˚5� �"� $� C\6@ �˝ 3
˚�]W˙ Q[/d: )* 5j* 4;. 67˙ .!� P˝˘˛ \�7˙
+* I� �vn@ @@ .*.˚ *g.2 :uˇ˘ 2rz P5� T|
N �vn �] pH˙ )* 3˚g I&k gs ?4 N�˝ &J.ˇ˘ m4
�˚ t�z � &g�12 /!F& [( @L L P˝ 402F� ˚
;Q7@ �˘ @a˝ P˝ Q# 40.2 ˝@ y`* JZ. <L@ zB
F5�
? 2!˝ ˚}( JZ.ˇ˘ 6/˚ z P˝ 3˚�vn4; ?4&4˙
40U�,. Q/ � v;*5� JO˛ 2GTFG@QS˛ 3NKKHRNM˛ @MC 8@M�����˚&
+TOT @MC /NMSTRRNM�����˚� Tp2! ?& YX�� �vn N� � 5j
* 3˚M(F˚ ˚;Q7 �" 40. M(h9 '3�˝ ˚jM( 40
&4 � @D* 4;. ?&F˙ S$>.5� !DQMGDHL @MC 6GHMRSNM��� ,˚ #
&QNRRL@M @MC 'DKOL@M�����˚˙ �"� \9�˛2b8˙ ˚H�� �vn(
)* 3˚gs ?4&4 � � 3˚79˚ 40.2 &(˙ +�� 4;cu
$ e '0˝ RX˙ ˚L.ˇ˘ v;��5� v;b8 � @3˚790 >
0 gs˙ ['� 3˚790 �vn4;� /h˙ )��˝ Kˇ˘ N$
�ˇ�˛ 3Cc�@ Q* z[8 =He&( @4{ 7˛ JZ.ˇ˘ �.� 3
˚s F* 3˚79˚ @@ ['�˝ gs�t6=t3=0˚& _0�˝ Kˇ˘ N
$�5�
T|N Lc3˚79� U# 1�. 3˚&z �" �vn4; �* [
'˝ 5s Kˇ˘ v;z˛5� Lc3˚79� 3˚&z˚ 1�.ˇ˘ @3˚
79� 3˚&z& @}5 U# P$.ˇ˘ ˚jM( 40 '3�:>5˝
8'.ˇ˘ @3˚79& =�˝ K˚ �[� 8'o˙ >�5� ) Lc3
˚79� 3˚&z˚ 1�.ˇ˘ 3˚79� 3˚&z& @}5 U# Lc3
˚79 e˝ 3˚79& 7�N P$.ˇ˘ 40. RX7˙ hJ�˝
31D-LJK.ps, page #26, Fri Dec 27 14:58:24 2013
��� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
8'˚ Aw˚;\0˘ 3˚79&� 40. 2�@ �'@ ˚˝ Kˇ˘ N
$�5� �"� ? 2!� ˚L. v;?&˝ JZ� 3˚�]W˙ *<�˝
˘ 5�& 80 4;. e�( �/� P5� +˛ @3˚79ˇ˘� 3˚�v
n N� PB� 3˚79� 40. RX7˙ B3/d � S:** �v
n@ .=�e ˚bB\: );�˝˛ #[.ˇ˘ Lc3˚79& 3˚79�
1�. 3˚ ˙w( B3/T & P˝ 5j* 4;. ˝@ y`�5� ˚˝
LO9� 3˚ X1˚ f*.ˇ˘ 3˚�vn4; /h PB� LO9� 4
0. RX7 hJK2˙ B3/d ˛ ]C| @3˚ # 3˚79� 40.
U6 � �* 3˚�vn4;˚ 3˚�]W 4*( Q[{ & P˝ :Xˇ˘
cu� & P˝ @D(˚ \: 7N˚5� ]C| \9�˛2b8˙ ˚H��
�vn4; ?4&4 � 5j* 3˚79F� 8'. [� Q* ? 2!�
?&F0 +TOT @MC /NMSTRRNM�����˚& 80 Tp2!F˚ �/�˝ /J/F˙
˚L.ˇ˘* ��˘{ & P�˙ >˚ P5�
m N %
BDLNFKT˛ #� @MC )� � 1NAHMRNM˛ $BNMNLHB .QHFHMR NE #HBS@SNQRGHO @MC #DLNBQ@BX˛
"@LAQHCFD 4MHUDQRHSX /QDRR˛ ���,�
CHS˛ 3� 2�˛ �/NKHSHB@K (MSDQM@KHR@SHNM NE $BNMNLHB $WSDQM@KHSHDR @MC $MUHQNMLDMS@K
ONKHBX˛� )NTQM@K NE /TAKHB $BNMNLHBR˛ ,�˛ ��� ˛ �]�,�
!DBJDQ˛ &�˛ � 3GDNQX NE "NLODSHSNM @LNMF /DRRTQD &QNTOR ENQ /NKHSHB@K (MEKTDMBD˛�
0T@QSDQKX )NTQM@K NE $BNMNLHBR˛ � ˛ �� �˛ ��]����
˛ �/TAKHB /NKHBHDR˛ /QDRRTQD &QNTOR˛ @MC #D@C 6DHFGS "NRSR˛� )NTQM@K NE
/TAKHB $BNMNLHBR˛ � ˛ �� �˛ ���]���
!DQMGDHL˛ !� #� @MC ,� #� 6GHMRSNM˛ �,DMT TBSHNMR˛ 1DRNTQBD KKNB@SHNM˛ @MC
$BNMNLHB (MEKTDMBD˛� 0T@QSDQKX )NTQM@K NE $BNMNLHBR˛ ���˛ �� ,˛ �]���
#HWHS˛ �˛ &� ,� &QNRRL@M˛ @MC $� 'DKOL@M˛ �"NLLNM FDMBX @MC "NNQCHM@SHNM�
&DMDQ@K 3GDNQX @MC OOKHB@SHNM SN &NUDQMLDMS /NKHBX ,@JHMF˛� )NTQM@K NE
/NKHSHB@K $BNMNLX˛ �����˚˛ ���˛ ��],��
#NTF@M˛ 6� 1� @MC )� ,� 2MXCDQ˛ �(MSDQDRSc&QNTO /NKHSHBR TMCDQ ,@INQHSX 1TKD˛�
)NTQM@K NE /TAKHB $BNMNLHBR˛ ,�˛ ���,˛ ��]��
31D-LJK.ps, page #27, Fri Dec 27 14:58:24 2013
˚k�˘MX ��
&QNRRL@M˛ &� ,� @MC $� 'DKOL@M˛ �/QNSDBSHNM ENQ 2@KD˛� LDQHB@M $BNMNLHB 1DUHDV˛
�˛ ����˛ ��] ���
˛ 2ODBH@K (MSDQDRS /NKHSHBR˛ ,(3 /QDRR˛ �����
%QDCQHJRRNM˛ /� &� @MC )� 2UDMRRNM˛ �/NKHSHB@K (MRS@AHKHSX˛ "NQQTOSHNM @MC /NKHBX
%NQL@SHNM� 3GD "@RD NE $MUHQNMLDMS@K /NKHBX˛� )NTQM@K NE /TAKHB $BNMNLHBR˛
˛ ����˛ �� �]�����
+DD˛ )� *� @MC 4� 'V@MF˛ �(MSDQDRS /NKHSHBR CQHUDM 1DCHRSQHATSHNM˛� TMOTAKHRGDC O@ODQ˛
�����
+TOT˛ -� @MC )� /NMSTRRNM˛ �3GD 2SQTBSTQD NE (MDPT@KHSX @MC SGD /NKHSHBR NE
1DCHRSQHATSHNM˛� LDQHB@M /NKHSHB@K 2BHDMBD 1DUHDV˛ ���˛ ����˛ ��,]��,�
*QHRSNU˛ +�˛ /� +HMCDQS˛ @MC 1� ,B"KDKK@MC˛ �/QDRRTQD &QNTOR @MC 1DCHRSQHATSHNM˛�
)NTQM@K NE /TAKHB $BNMNLHBR˛ � ˛ ����˛ ���]�,��
,DKSYDQ˛ � @MC 2� 1HBG@QC˛ � 1@SHNM@K 3GDNQX NE SGD 2HYD NE &NUDQMLDMS˛� )NTQM@K
NE /NKHSHB@K $BNMNLX˛ ���˚˛ �� �˛ ���]���
.KRNM˛ ,�˛ 3GD +NFHB NE "NKKDBSHUD BSHNM# /TAKHB &NNCR @MC SGD 3GDNQX NE &QNTOR˛
'@U@QC 4MHUDQRHSX /QDRR˛ ��,��
/DQRRNM˛ 3� @MC &� 3@ADKKHMH˛ /NKHSHB@K $BNMNLHBR˛ ,(3 /QDRR˛ �����
1NADQSR˛ *�˛ �5NSHMF NUDQ (MBNLD 3@W 2BGDCTKDR˛� )NTQM@K NE /TAKHB $BNMNLHBR˛ ˛
��˛ ���]����
1NDLDQ˛ )� $�˛ �6GX SGD /NNQ CN MNS $WOQNOQH@SD SGD 1HBG HM #DLNBQ@BHDR� -DV
QFTLDMS˛� )NTQM@K NE /TAKHB $BNMNLHBR˛ �˛ ��� ˛ ���]����
2GTFG@QS˛ 6� %�˛ 1� #� 3NKKHRNM˛ @MC 9� 8@M˛ �1DMS 2DDJHMF HMSN SGD (MBNLD
#HRSQHATSHNM˛� *XJKNR˛ �,˛ ����˛ ���]�� �
2SHFKHY˛ )�˛ 3GD /QHBD NE (MDPT@KHSX˛ 6�6� -NQSNM ˘ "NLO@MX˛ (MB�˛ �����
3DRS@˛ "�˛ �1DENQLR˛ +NAAHDR @MC 6DKE@QD� "NLLNM FDMBX OOQN@BG˛� /TAKHB
"GNHBD˛ ���˛ ����˛ ���]���
9GDMF˛ ,�˛ �+NAAXHMF ENQ 6D@KSG 1DCHRSQHATSHNM AX "G@MFHMF SGD 2NBH@K /K@MMDQ˙R
/QDEDQDMBDR˛� )NTQM@K NE 3GDNQDSHB@K /NKHSHBR˛ ENQSGBNLHMF�
31D-LJK.ps, page #28, Fri Dec 27 14:58:24 2013
�� 40. &4˙ +* 3˚�vn4;& LO9� 8'. [�
� 3GHR QDRD@QBG V@R RTOONQSDC AX *XTMFONNJ -@SHNM@K 4MHUDQRHSX 1DRD@QBG %TMC˛ ������� %HQRS TSGNQ˛ RRHRS@MS /QNEDRRNQ˛ 2NF@MF 4MHUDQRHSX˛ 3DK� ˝ �c�c��c ���˛ $cL@HK� IKDD��
�RNF@MF�@B�JQ��� "NQQDRONMCHMF TSGNQ˛ RRHRS@MS /QNEDRRNQ˛ *XTMFONNJ -@SHNM@K 4MHUDQRHSX˛ 3DK� ˝ �c��c
���c���˛ $cL@HK� TG����JMT�@B�JQ
: ARSQ@BS<
(MBNLD 1DCHRSQHATSHNM /NKHBHDR #DBHCDC SGQNTFG
/NKHSHB@K /QNBDRRDR @MC 2SQ@SDFHB "GNHBDR NE SGD ,HCCKD "K@RR�
)HMJVNM +DD��˘4J 'V@MF���
3GHR RSTCX @M@KXYDR EQNL @ ONKHSHB@K DBNMNLX ODQRODBSHUD SGD ONKHSHB@K @MC RSQ@SDFHB
QDRONMRDR NE CHUDQRD HMBNLD BK@RRDR SN HMBNLD QDCHRSQHATSHNM ONKHBHDR OTQRTDC SN
@KKDUH@SD RNBH@K HMDPT@KHSX @BBNQCHMF SN HLOKHB@SHNMR OQDRDMSDC AX DLOHQHB@K RSTCHDR
RTBG @R SGNRD NE 2GTFG@QS˛ 3NKKHRNM˛ @MC 8@M�����˚ @R VDKK @R +TOT @MC /NMSTRRNM
�����˚� 3GD RSTCX ENBTRDR NM SGD ONRRHAKD RSQ@SDFHB BGNHBDR SG@S B@M AD L@CD AX SGD
LHCCKD BK@RR ENQ SGD A@K@MBDC HMBNLD S@W Q@SD CDBHCDC SGQNTFG SGD ONKHSHB@K
O@QSHBHO@SHNM NE D@BG HMBNLD BK@RR HMSDQDRS FQNTO A@RDC NM SGD BNLLNM @FDMBX LNCDK
NE &QNRRL@M @MC 'DKOL@M�����˚� 3GHR RSTCX @M@KXYDR SG@S VGDM SGD K@ANQ HMBNLD
ADENQD S@W@SHNM NE SGD LHCCKD BK@RR HR RL@KKDQ SG@M SGD VDHFGSDC @UDQ@FD NE SGD K@ANQ
HMBNLD ADENQD S@W@SHNM NE @KK HMBNLD BK@RRDR �VGDM BKNRDQ SN SGD K@ANQ HMBNLD NE SGD
KNV BK@RR ADENQD S@W@SHNM˚˛ SGD SVN BK@RRDR BNNODQ@SHMF SN DWDQBHRD ONKHSHB@K HMEKTDMBD
NM ONKHBX L@JDQR HR SGD ADRS BGNHBD ENQ SGD LHCCKD BK@RR CTQHMF CDBHRHNMcL@JHMF NE HSR
HMBNLD S@W Q@SD� .M SGD NSGDQ G@MC˛ VGDM HS HR FQD@SDQ SG@M SGD VDHFGSDC @UDQ@FD NE
SGD K@ANQ HMBNLD ADENQD S@W@SHNM NE @KK BK@RRDR �QDK@SHUDKX BKNRDQ SN SGD K@ANQ HMBNLD NE
SGD GHFG BK@RR˚˛ S@JHMF SGD RSQ@SDFX NE DHSGDQ BNNODQ@SHMF VHSG SGD GHFG BK@RR NQ
HMCDODMCDMSKX DWDQBHRHMF ONKHSHB@K HMEKTDMBD HR HMCHEEDQDMS�
*DXVNQCR� HMBNLD QDCHRSQHATSHNM˛ HMBNLD S@W@SHNM˛ LHCCKD BK@RR˛ HMSDQDRS FQNTO
ONKHSHBR˛ BNLLNM @FDMBX
)$+"K@RRHEHB@SHNM� (� ˛ '��˛ #��˛ #�