118
V *R8stI *T$%Rt iRT4RR$t V}}TBs{Y PBT V$T{TsP VRR$t8Rt =tIRT =t{RTs$tk Q$sB8R$ YZ qYRR$R 7ZA8$RI B YR 3s{Zjk BP z$T$t$s _BjkR{Yt${ ytR$ZR stI 7sR =t$%RTR$k $t }sT$sj PZjhjj8Rt BP YR TRJZ$TR8RtR PBT YR IRTRR BP sRRT BP 7{$Rt{R yt ytIZRT$sj stI 7kRR8R et$tRRT$t eATZ P $RY ]BT]Ys$T <st$P * 7YRTsj$ ]BT]Ys$T VtBt$B V qTst$ FZjk 1n 1((d js{,RAZT z$T$t$s PRkbBTIRU V$Tj$tR !}RTs$BtR iRRRsT{Y *R8stI *T$%Rt iRT4RR$t 3jRR VRR$t8Rt iR%RtZR stsR8Rt $-RITytRRT _TBTs88$t ]B}kT$Y 1((d Q$sB8R$ YZ

V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

  • Upload
    others

  • View
    0

  • Download
    0

Embed Size (px)

Citation preview

Page 1: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

V *�8stI *�$%�t i�T4���$t� V}}�Bs{Y PB�

V$�{�sP� VRR$�t8�t� =tI�� =t{���s$t�k

�$sB8�$ �YZ

qY�R$R 7ZA8$���I �B �Y� 3s{Zj�k BP

z$��$t$s _Bjk��{Yt${ ytR�$�Z�� stI 7�s�� =t$%��R$�k

$t }s��$sj PZjhjj8�t� BP �Y� ��JZ$��8�t�R PB� �Y� I����� BP

�sR��� BP 7{$�t{�

yt

ytIZR��$sj stI 7kR��8R et�$t���$t�

eA�Z �� $RY� ]BT]Ys$�

<st$P *� 7Y��sj$� ]BT]Ys$�

Vt�Bt$B V� q�st$

FZjk 1n� 1((d

js{,RAZ��� z$��$t$s

��kbB�IRU V$�j$t� !}��s�$BtR i�R�s�{Y� *�8stI *�$%�t i�T4���$t�� 3j��� VRR$�t8�t��

i�%�tZ� �sts��8�t�� �$-�ITyt����� _�B��s88$t�

]B}k�$�Y� 1((d� �$sB8�$ �YZ

Page 2: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

V *�8stI *�$%�t i�T4���$t� V}}�Bs{Y PB�

V$�{�sP� VRR$�t8�t� =tI�� =t{���s$t�k

�$sB8�$ �YZ

wV 7qiV]qD

qY� {Z���t� s$�j$t� }�s{�${� $R �B sRR$�t s$�{�sP� {s}s{$�k �B R{Y�IZj�I 4$�Y�R b�jj $t

sI%st{� BP I�}s��Z��� V� RZ{Y st �s�jk R�s�� $t �Y$R }�B{�RR� �Y� Y$�Y Zt{���s$t�k BP

I�8stI }BR�R s 8s`B� $8}�I$8�t� PB� s$�j$t�R �B A�R� 8s�{Y �Y� s$�}jst� {s}s{$�$�R b$�Y

�Y� htsj I�8stI� <Bb�%��� �Y� s{{Z�s{k BP �Y� I�8stI PB��{sR� $8}�B%�R 8s�,�Ijk B%��

�$8�� stI ��%$R$BtR �B �Y� $t$�$sj 4��� sRR$�t8�t� A�{B8� ts�Z�sjjk }���$t�t� bY�t �Y�

BAR��%�I I�8stI {BtR$I��sAjk I$&��R P�B8 �Y� sRR$�t�I s$�{�sP� {s}s{$�k� qY� *�8stI

*�$%�t i�T4���$t� w**iD s}}�Bs{Y }�B}BR�I $t �Y$R �Y�R$R B&��R s Ikts8${ ��TsRR$�t8�t�

BP s$�{�sP� {s}s{$�k �B �Y� 4$�Y� t��bB�,� sR stI bY�t $8}�B%�I I�8stI PB��{sR�R A�{B8�

s%s$jsAj�� RB sR �B 8s-$8$9� �Y� �B�sj ��%�tZ��

�{sZR� BP �Y� t��I �B }��R��%� �Y� $t$�$sj {��b R{Y�IZj�� �Y$R ��TsRR$�t8�t� s}}�Bs{Y

$R j$8$��I b$�Y$t s R$t�j� Ps8$jk BP s$�{�sP� stI �B �Y� 4$�Y�R sRR$�t�I �B �Y$R }s��${Zjs�

Ps8$jk� qY$R ��R��${�$Bt R$�t$h{st�jk ��IZ{�R �Y� }�BAj�8 R$9�� VR s ��RZj�� $� A�{B8�R

{B8}Z�s�$Btsjjk ��s{�sAj� �B $t{jZI� }s�Y j�%�j I�8stI $tPB�8s�$Bt $t�B �Y� **i 8BI�j�

sj�YBZ�Y �Y� }�BAj�8 R$9� {st �Y�t ��� %��k js��� A�{sZR� BP �Y� tZ8��BZR {B8A$ts�$BtR BP

{B8}BR$t� }s�YR P�B8 j��R� VR st �-��tR$Bt� 8BI�jR {BtR$I��$t� }s�YT{jsRR j�%�j I$&���t{�R�

IskTBPTb��, I�8stI %s�$s�$BtR� stI ��T{s}�Z�� �&�{�R s�� sjRB }��R�t��I�

qY� **i 8BI�j PB� s R$t�j� Ps8$jk b$�Y }s�Y j�%�j I�8stI {BtR$I��s�$BtR $R PB�8Zjs��I

sR s 8$-�IT$t����� }�B��s88$t� }�BAj�8� qY� 8BI�j:R }BjkY�I�sj R��Z{�Z�� $R R�ZI$�I

$$

Page 3: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�B �-}jB�� bskR PB� �$�Y��t$t� $�R ��}��R�t�s�$Bt stI PB� I��$%$t� {���s$t {jsRR�R BP %sj$I

$t�JZsj$�$�R� zs�$BZR s}}�Bs{Y�R PB� $8}j�8�t�$t� RZ{Y ��PB�8Zjs�$Bt ��{Yt$JZ�R s�� $t%�RT

�$�s��I stI ��R��I� qY� A�R� BP �Y�R� }�B{�IZ��R PB� RBj%$t� js���TR{sj� {Ysjj�t�$t� $tR�st{�R

BP �Y� }�BAj�8 �Z�tR BZ� �B A� st $t����s��I s}}�Bs{Y �Ys� ZR�R {���s$t R�j�{��I 8BI�j sZ�T

8�t�s�$BtR stI %sj$I $t�JZsj$�$�R ��t��s��I %$s s RZ$�sAj� R�}s�s�$Bt �BZ�$t� stI s }s��$sj

{Bt%�- YZjj {BtR��Z{�$Bt }�B{�RR� =R$t� �Y$R R��s���k $t {Bt{��� b$�Y }�B}��jk R�j�{��I

]_Ne� B}�$BtR ��IZ{�R �Y� ]_= �$8� Ak st s%��s�� Ps{�B� BP ��;M B%�� st $t$�$sj 8BI�j

PB� s ��R�TA�I BP }�BAj�8R �s{Y Ys%$t� 1(( 4$�Y�R $t �B�sj� _�B8}��I Ak �Y$R $t����s��I

Y�Z�$R�${ s}}�Bs{Y� s }�B{�IZ�� PB� htI$t� RBjZ�$BtR b$�Y$t s }��R{�$A�I j$8$� BP B}�$8sj$�k

$R RZ���R��I� qB I�8BtR��s�� �Y� �&�{�$%�t�RR BP �Y�R� I�%�jB}�I 8��YBIBjB�$�R� b� sjRB

RBj%�I �bB js���TR{sj� }�s{�${sjTR$9�I t��bB�,R �Ys� ��R}�{�$%�jk $t%Bj%� M(( stI d(E( 4$�Y�R�

stI dMd�E stI nnd(x }s�YR $t �B�sj� b$�Y n(( stI n�E 4$�Y�R A�jBt�$t� �B �Y� I�R$�ts��I

Ps8$jk� qY�R� }�BAj�8R b��� �k}${sjjk RBj%�I b$�Y$t E YBZ�R Bt s 7=W =j��s d GB�,R�s�$Bt

Ys%$t� 1E( � iV� stI s {jB{,TR}��I BP dE� �<9� b$�Y Bt� �-{�}�$Bt �Ys� ��JZ$��I d;

YBZ�R BP ]_= �$8�� qY$R j�%�j BP {B8}Z�s�$Btsj �&B�� $R s{{�}�sAj� {BtR$I��$t� �Ys� RZ{Y

8BI�jR s�� RBj%�I s� s }jstt$t� R�s�� $t �Y� I�{$R$Bt }�B{�RR�

$$$

Page 4: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

V{,tBbj�I�8�t�R

y h�R� b$RY �B �Yst, 8k }s��t�R stI 8k R$R��� PB� �Y�$� jB%� stI �t{BZ�s��8�t� �Y�BZ�YBZ�

8k j$P� stI �R}�{$sjjk IZ�$t� �Y�R� �bB k�s�R bY�t y s8 �YBZRstIR BP 8$j�R sbsk P�B8 YB8��

y I�I${s�� �Y$R �Y�R$R �B �Y�8 PB� �Y� }BR$�$%� %$�b BP j$P� �Y�k {Bt�$tZBZRjk }sRR�I �B 8��

�k I��}�R� s}}��{$s�$Bt �B�R �B 8k sI%$RB�R *�� eA�Z �� $RY stI *�� <st$P *�

7Y��sj$� y �Yst, *�� $RY PB� Y�� �t{BZ�s��8�t� stI ZtI��R�stIt�RR� 7Y� YsR A��t 8B��

�Yst `ZR� s ���s� sI%$RB� bYB $tR}$��I stI �Z$I�I 8� $t {B8}j��$t� �Y$R �Y�R$R b$�Y ���s�

�t�YZR$sR8 stI }s�$�t{�� 7Y� YsR sjRB A��t s �BBI P�$�tI bYB {Y����I 8� Z} bY�t y bsR

I�}��RR�I stI RYBb�I 8� I$��{�$BtR bY�t y bsR A�b$jI���I� y s8 ��s��PZj PB� *�� 7Y��sj$:R

%sjZsAj� �Z$Ist{�� {BtR$R��t� s���t�$Bt� stI s8s9$t� ��s{Y$t�� <$R }��P�{� }��RBtsj$�k $R

{B88�t��I Ak �%��k Bt� bYB YsR bB�,�I b$�Y Y$8� y� $R s R$t{��� }j�sRZ�� �B A� Y$R sI%$R���

y s8 sjRB ��s��PZj �B 8k �Y�R$R {B88$���� 8�8A�� *�� Vt�Bt$B V� q�st$� PB� Y$R sI%$R�

stI �-}���$R� $t �Y� s$�j$t� B}��s�$BtR ��R�s�{Y� 7}�{$sj �Yst,R s�� IZ� �B ��� *BZ�jsR

i� $RY stI �R� ]Btt$� ]Y�t s� =t$��I V$�j$t�R� qY�k Y�j}�I 8� ZtI��R�stI �Y� bYBj�

RkR��8 RB �Ys� y {BZjI {BtR��Z{� s ��sj$R�${ Is�s R��Z{�Z��� stI }s�$�t�jk }�B%$I�I Is�s

s�s$t stI s�s$t �B sRR$R� �Y� {B8}Z�s�$Btsj �-}��$8�t�R $t �Y$R �Y�R$R�

y sjRB s}}��{$s�� *�� _s��${, �B�jj$t� PB� }�B%$I$t� s PsR� {B8}Z��� RB �Ys� y {BZjI

Rs%� �$8� Bt bs$�$t� PB� �Y� {B8}Z�s�$Btsj ��RZj�R� y �Yst, s�As�s 3�s�${�jj$ PB� Y�� Y�j}

$%

Page 5: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

Bt YBb �B ZR� V�_N stI 7�Bt�TFBt� <Bt� PB� Y$R Y�j} Bt }��PB�8$t� �Y� {B8}Z�s�$Btsj

�-}��$8�t�R�

y �Yst, sjj 8k P�$�tIR �Ys� y Ys%� s{JZ$��I $t �Y�R� �bB k�s�R PB� 8s,$t� 8k j$P� $t

z$��$t$s q�{Y RB �t`BksAj�� y sjRB �Yst, �Y� 3s{Zj�k stI �Y� 7�s& $t �Y� p�sIB *�}s��8�t�

BP ytIZR��$sj stI 7kR��8R et�$t���$t�� y �R}�{$sjjk s}}��{$s�� �Y� Y�j} P�B8 �R� NB%�I$s

]Bj� stI �R� �s�Yk Z{Ystst�

yt �Y� �tI� y bBZjI j$,� �B �Yst, �Y� R$8B}�(; {B8}Z��� PB� �$%$t� 8� {B8}stk $t �Y�

8stk Rj��}j�RR t$�Y�R���

%

Page 6: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

]Bt��t�R

VAR��s{� $$

V{,tBbj�I�8�t�R $%

d yt��BIZ{�$Bt d

d�d yt��BIZ{�$Bt � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � d

d�1 q��8$tBjB�k � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 1

d�n s{,��BZtI stI �B�$%s�$Bt � � � � � � � � � � � � � � � � � � � � � � � � � � � n

d�; �BI�j !%��%$�b � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � x

d�x _�BAj�8 7�s��8�t� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � E

d�x�d !A`�{�$%� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � E

d�x�1 ]BtR��s$t�R � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � M

d�E i�R�s�{Y ]Bt��$AZ�$BtR � � � � � � � � � � � � � � � � � � � � � � � � � � � � � M

1 N$���s�Z�� i�%$�b d(

1�d 3j��� VRR$�t8�t� _�BAj�8 � � � � � � � � � � � � � � � � � � � � � � � � � � � � d(

1�1 yt����s��I V}}�Bs{Y�R �B 3V_ stI B�Y�� 7{Y�IZj$t� _�B{�RR�R � � � � � � � dx

1�n i�T4���$t� _�BAj�8 � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � d�

%$

Page 7: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1�; 7�B{YsR�${ !}�$8$9s�$Bt V}}�Bs{Y�R � � � � � � � � � � � � � � � � � � � � � � 1d

1�;�d ���sT<�Z�$R�${R � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 11

1�;�1 iBAZR� !}�$8$9s�$Bt � � � � � � � � � � � � � � � � � � � � � � � � � � � 1n

n �BI�j 3B�8Zjs�$Bt 1E

n�d !Z�j$t� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 1E

n�1 s{,��BZtIU W��bB�, 7��Z{�Z�� � � � � � � � � � � � � � � � � � � � � � � � � � 1�

n�n WB�s�$Bt � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � nd

n�; V N��T sR�I 3j��� VRR$�t8�t� �BI�j � � � � � � � � � � � � � � � � � � � � � nn

n�x V _s�YT sR�I i�%�tZ� �sts��8�t� 7kR��8 � � � � � � � � � � � � � � � � � � nx

n�E qY� _�B}BR�I **i �BI�jR � � � � � � � � � � � � � � � � � � � � � � � � � � � n�

n�E�d qY� sR${ **i �BI�j � � � � � � � � � � � � � � � � � � � � � � � � � � n�

n�E�1 _s�YT]jsRR N�%�j sR�I **i �BI�j � � � � � � � � � � � � � � � � � � ;d

n�E�n yt����s��I _s�YTAsR�I **i �BI�j b$�Y *!G B� *!� zs�$s�$BtR � ;1

n�E�; **i b$�Y i�{s}�Z�� w**iTiD � � � � � � � � � � � � � � � � � � � � � ;;

; �BI�j 7��Z{�Z�� VtsjkR$R ;�

;�d q$�Y��t$t� i�}��R�t�s�$Bt BP stI zsj$I yt�JZsj$�$�R PB� �BI�j **i � � � � ;�

;�d�d q$�Y��t$t� i�}��R�t�s�$Bt BP wM�D� � � � � � � � � � � � � � � � � � � � ;M

;�d�1 p�t��sj$9�I ]B�^{$�t� i�IZ{�$Bt =R$t� p�t��sj$9�I =}}�� BZtI

wp= D 7Z��B�s�� ]BtR��s$t�R � � � � � � � � � � � � � � � � � � � � � � x1

;�d�n i�}js{$t� wM�D b$�Y s q$�Y��� 7�� BP zsj$I yt�JZsj$�$�R � � � � � � � � xE

;�1 p�t��sj$9�I ]jsRR BP 3s{��$sj zsj$I yt�JZsj$�$�R � � � � � � � � � � � � � � � � x�

;�n *$��{� ]BtR��Z{�$Bt BP {Bt%\. � i � � � � � � � � � � � � � � � � � � � � � � � � E�

%$$

Page 8: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

x WZ8��${sj e-}��$8�t�R �n

x�d e-}��$8�t�sj *�R$�t � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �;

x�1 _��j$8$ts�k e-}��$8�t�R � � � � � � � � � � � � � � � � � � � � � � � � � � � � �E

x�1�d V _�$B�$ �BI�j y8}�B%�8�t� � � � � � � � � � � � � � � � � � � � � � � ��

x�1�1 ]Bt%�- <Zjj ]BtR��Z{�$Bt � � � � � � � � � � � � � � � � � � � � � � � � Md

x�1�n p�t��s�$Bt BP zsj$I yt�JZsj$�$�R � � � � � � � � � � � � � � � � � � � � Mn

x�1�; 3Z��Y�� e-}��$8�t�R Bt 7�� 1 _�BAj�8R � � � � � � � � � � � � � � � � M;

x�1�x WBI� 7�j�{�$Bt stI �st{Y$t� _�$B�$�$�R stI ]_Ne� ]Z�R � � � � � M�

x�n 7BjZ�$Bt V}}�Bs{Y�R � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � M�

x�n�d 7Z88s�k BP �Y� _�B}BR�I <�Z�$R�${ V}}�Bs{Y � � � � � � � � � � � � �(

x�n�1 qY� _�B}BR�I !}�$8sj V}}�Bs{Y � � � � � � � � � � � � � � � � � � � � �d

x�n�n e-}��$8�t�sj i�RZj�R !A�s$t�I P�B8 i�sjTR$9�I _�BAj�8R � � � � � � �1

E 7Z88s�k� ]Bt{jZR$BtR stI 3Z�Z�� i�R�s�{Y *$��{�$BtR �x

E�d 7Z88s�k stI ]Bt{jZR$BtR � � � � � � � � � � � � � � � � � � � � � � � � � � � � �x

E�1 3Z�Z�� i�R�s�{Y *$��{�$BtR � � � � � � � � � � � � � � � � � � � � � � � � � � � �M

V}}�tI$- d((

i�P���t{�R d(n

z$�s d(M

%$$$

Page 9: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

N$R� BP qsAj�R

d 7�� tB�s�$BtU � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � nd

1 _s�s8���� tB�s�$BtU � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � n1

n *�{$R$Bt %s�$sAj� tB�s�$BtU � � � � � � � � � � � � � � � � � � � � � � � � � � � � n1

; V%��s�� ]_= q$8� =tI�� *$&���t� ]_Ne� ]Z��$t� 7��s���$�R � � � � � � � �M

x V%��s�� ]_= q$8� stI WZ8A�� BP �st{YTstIT BZtI WBI�R b$�Y _�B}BR$T

�$BtR d stI n� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � M(

E WZ8��${sj i�RZj�R PB� _s��$sj V}}j${s�$BtR BP _�B}BR$�$Bt n� � � � � � � � � � M(

� V%��s�� ]_= q$8� PB� �Y� +T%s�$sAj� V}}j${s�$Bt PB� ]�$�${sj 3j$�Y�R � � � M1

M V%��s�� ]_= q$8� PB� �Y� 7�}s�s�$Bt _�BAj�8 V}}j${s�$Bt � � � � � � � � � Mn

� WZ8��${sj i�RZj�R P�B8 *$&���t� V}}�Bs{Y�R bY�t V}}j$�I �B �Y� 7�� 1

_�BAj�8R� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � Mx

d( V%��s�� ]_= q$8�R PB� qbB WBI� 7�j�{�$Bt 7��s���$�R� � � � � � � � � � � � M�

dd V%��s�� ]_= q$8�R PB� *$&���t� ]Z�R !}�$BtR� � � � � � � � � � � � � � � � MM

d1 ]_= q$8�R PB� qY��� ;((Tj�� _�BAj�8R� � � � � � � � � � � � � � � � � � � � � M�

dn ]_= q$8�R PB� i�sj 7$9�I _�BAj�8R� � � � � � � � � � � � � � � � � � � � � � � �n

$-

Page 10: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

N$R� BP 3$�Z��R

d �BI�j !%��%$�b� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

1 yjjZR��s�$Bt BP VRR$�t8�t� i�js�$t� �B �s$t��tst{�� � � � � � � � � � � � � � dn

n yt����s�$Bt BP 7$8Zjs�$Bt stI !}�$8$9s�$Bt $t �Y� ;�

�BI�j� � � � � � � � � d�

; q$8�TR}s{� W��bB�, 7��Z{�Z�� b$�Y �s$t��tst{� V�{R� � � � � � � � � � � � � 1M

x Vt yjjZR��s�$%� e-s8}j� PB� �Y� **i _�BAj�8� � � � � � � � � � � � � � � � � x(

-

Page 11: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

]Ys}��� d

yt��BIZ{�$Bt

d�d yt��BIZ{�$Bt

y� $R s b�jj s{{�}��I ��t��sj {Bt{�}� $t stk $tIZR��k �Ys� s A����� {BB�I$ts�$Bt BP RZ}}jk

stI I�8stI 8sts��8�t� {st k$�jI Y$�Y�� ��%�tZ�R� yt �Y� s$�j$t� $tIZR��k� RZ}}jk 8sts��T

8�t� ��P��R �B �Y� sRR$�t8�t� BP s$�{�sP� �k}�R w�s{Y Ys%$t� s I$&���t� {s}s{$�kD stI {��bR

w�s{Y Ys%$t� I$&���t� JZsj$h{s�$BtRD �B 4$�Y� j��R� qYZR� $� I�sjR b$�Y sRR$�t$t� �Y� X�$�Y�

��RBZ�{�R �B �Y� �$�Y� 4$�Y�R s� �Y� �$�Y� �$8�"� 7$8$js�jk� I�8stI 8sts��8�t� wsjRB ,tBbt

sR k$�jI B� ��%�tZ� 8sts��8�t�D ��P��R �B �Y� sA$j$�k �B R�jj �Y� X�$�Y� �${,��R �B �Y� �$�Y�

{ZR�B8��R s� �Y� �$�Y� �$8�" wV8��${st V$�j$t�R� d�M�D� qYZR� s {BB�I$ts�$Bt BP RZ}}jk stI

I�8stI 8sts��8�t� ��JZ$��R �Y� $t����s�$Bt BP s$�j$t� R{Y�IZj$t� stI ��%�tZ� 8sts��8�t�

I�{$R$BtR� bY${Y� YBb�%��� s�� ZRZsjjk 8sI� $t R�%��sj I$R�$t{� R��}R� V{{B�I$t� �B ����

stI <B}}��R�sI wd��nD� s$�j$t�R �-}��$�t{� st s%��s�� BP Ex0 Z�$j$9s�$Bt BP s$�{�sP� {s}s{T

$�k� bY$j�� s� �Y� Rs8� �$8�� jBR$t� 8stk {ZR�B8��R IZ� �B $tRZ^{$�t� {s}s{$�k� qY� Y$�Y

Zt{���s$t�k BP I�8stI� {BZ}j�I b$�Y �Y� R�}s�s�$Bt BP I�8stI PB��{sR�$t�� ��%�tZ� 8stT

s��8�t�� }�${$t�� stI {s}s{$�k sRR$�t8�t� I�{$R$BtR� ���s�jk Y$tI��R st s$�j$t�:R sA$j$�k �B

��sj$9� 8B�� ��%�tZ�� qY$R R$�Zs�$Bt {BZjI A� $8}�B%�I Ak st $t����s��I RZ}}jk stI I�8stI

8sts��8�t� ��{Yt$JZ�� yt �Y$R ��R�s�{Y� b� �-s8$t� st �tYst{�8�t� BP �Y� 3j��� VRR$�tT

8�t� _�BAj�8 w3V_D� AsR�I Bt �Y� {BtR$I��s�$Bt BP I�8stI 8sts��8�t�� 7}�{$h{sjjk� b�

d

Page 12: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1

}��R�t� �Y� {Bt{�}� BP s *�8stI *�$%�t i�T4���$t� w**iD s}}�Bs{Y� bY${Y Z}Is��R 4���

sRR$�t8�t� I�{$R$BtR sR 8B�� s{{Z�s�� I�8stI PB��{sR�R A�{B8� s%s$jsAj� B%�� �$8��

qY$R {Ys}��� $R B��st$9�I sR PBjjBbR� yt 7�{�$Bt d�1� b� }��R�t� �Y� ���8$tBjB�k �Ys� b$jj

A� ZR�I �Y�BZ�YBZ� �Y$R �Y�R$R� yt 7�{�$Bt d�n� b� A�$�4k $t��BIZ{� �Y� ��R�s�{Y }�BAj�8

stI I$R{ZRR �Y� 8B�$%s�$Bt PB� �Y$R ��R�s�{Y }�BAj�8� 7�{�$Bt d�; }�B%$I�R st B%��%$�b

BP BZ� 8BI�j$t� }��R}�{�$%�� stI }��R�t�R �Y� R{B}� BP �Y$R �Y�R$R� qY$R $R PBjjBb�I Ak s

I��s$j�I I�R{�$}�$Bt BP �Y� }�BAj�8 $t 7�{�$Bt d�x� 3$tsjjk� 7�{�$Bt d�E }��R�t�R �Y� ��R�s�{Y

{Bt��$AZ�$BtR P�B8 �Y$R R�ZIk�

d�1 q��8$tBjB�k

G� h�R� I�ht� RB8� $8}B��st� ���8R �Ys� b$jj A� ZR�I �Y�BZ�YBZ� �Y$R �Y�R$R�

V$�{�sP� qk}� T ]���s$t 8BI�j BP s$�{�sP�� RZ{Y sR �Y� �* �E�Tn((� Vjj s$�{�sP�

BP �Y� Rs8� �k}� Ys%� �Y� Rs8� {B{,}$� {Bth�Z�s�$Bt� {��b �s�$t� w{��b JZsj$h{s�$BtR

��JZ$��8�t�D� 8s$t��tst{� ��JZ$��8�t�R� {s}s{$�k� ��{�

V$�{�sP� 3s8$jk T V R�� BP s$�{�sP� �k}�R� �s{Y b$�Y �Y� Rs8� {B{,}$� {Bth�Z�s�$Bt

stI {��b �s�$t�� qYZR� �Y� Rs8� {��b {st 4k stk s$�{�sP� �k}� BP �Y� Rs8� Ps8$jk� Vt

�-s8}j� BP st s$�{�sP� Ps8$jk bBZjI A� �Y� B�$t� �x�\�E� Ps8$jk� bY${Y {BtR$R�R BP R�%�t

s$�{�sP� �k}�R� RZ{Y sR �* �E�Tn(( stI �+ �x�T1((� b$�Y {s}s{$�k �st��R A��b��t dM1T

1;;� yt sII$�$Bt �B I$&���t� �B�sj {s}s{$�$�R� �Y� R}j$� A��b��t h�R�T{jsRR {s}s{$�k stI {Bs{Y

{s}s{$�k $R sjRB I$&���t� PB� I$&���t� s$�{�sP� �k}�R�

qs$j T Vt $tI$%$IZsj s$�{�sP��

7}$jj T qY� }Y�tB8�tBt �Ys� bY�t I�8stI $R Y$�Y�� �Yst �Y� {s}s{$�k sRR$�t�I �B �Y�

4$�Y�� �-{�RR {ZR�B8��R b$jj A� jBR� IZ� �B {s}s{$�k j$8$�s�$BtR�

7}B$j T qY� }Y�tB8�tBt �Ys� bY�t I�8stI $R jBb�� �Yst �Y� {s}s{$�k sRR$�t�I �B �Y�

4$�Y�� RB8� R�s�R b$jj A� ZtZR�I IZ� �B jBb I�8stI�

N��\3j$�Y� N�� T V j�� $R s R��8�t� {Btt�{�$t� �bB R�B}R BP s 4$�Y� s� s R}�{$h{

I�}s��Z�� �$8�� $���� s j�� R}stR �Y� `BZ�t�k P�B8 �Y� �$8� st s$�{�sP� �s,�R B& Zt�$j $�

jstIR�

Page 13: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

n

_s�Y T V }s�Y ��P��R �B s 4$�Y� j�� wB� s R�� BP 4$�Y� j��RD A��b��t s R}�{$h{ B�$�$t stI

I�R�$ts�$Bt� stI s� s R}�{$h{ I�}s��Z�� �$8�� qYZR� �Y��� {st A� 8Zj�$}j� }s�YR A��b��t

�s{Y B�$�$tTI�R�$ts�$Bt }s$�� 3B� �-s8}j�� Bt� BP �Y� }s�YR A��b��t iBstB,� stI *�t%��

{BtR$R�R BP �Y� iBstB,�T]Y${s�B 4$�Y� �Ys� j�s%�R s� d(Un( s8� PBjjBb�I Ak �Y� ]Y${s�BT

*�t%�� 4$�Y� �Ys� j�s%�R s� 1Un(}8�

qY�BZ�Y 3j$�Y� T qbB B� 8B�� 4$�Y� j��R �Ys� s�� I�R$�sAj� �B A� 4Bbt Ak �Y� Rs8�

s$�{�sP�� qY�BZ�Y 4$�Y�R s�� s���s{�$%� �B �YBR� {ZR�B8��R 4k$t� 8Zj�$}j� j��R A��b��t �Y�$�

B�$�$t stI I�R�$ts�$Bt� e%�t �YBZ�Y �Y� s$�{�sP� R�B}R s� st $t���8�I$s�� I�R�$ts�$Bt� �Y�

A�t�h� �B �Y� {ZR�B8��R $R �Ys� �Y�k {st R�sk Bt �Y� Rs8� s$�{�sP� Zt�$j �Y�k ��s{Y �Y�$�

htsj I�R�$ts�$Bt�

!\* T qY� B�$�$t stI I�R�$ts�$Bt BP s }s�Y�

3s��T{jsRR T V {jsRR {B���R}BtIR �B s }s��${Zjs� Ps�� ��R��${�$Bt� 3B� �-s8}j�� s O Ps��

$R �Y� Zt��R��${��I Ps�� w$���� sP��� }Z�{YsR�� �Y� I�}s��Z�� Isk {st A� {Yst��I b$�Y tB

}�tsj�kD� bY���sR s G Ps�� $R 8B�� ��R��${��I w$���� �Y� I�}s��Z�� Isk {st A� {Yst��I Btjk

Ak $t{Z��$t� s }�tsj�k� stI �Y� �${,�� RYBZjI A� }Z�{YsR�I s� j�sR� �bB b��,R $t sI%st{� BP

4$�Y� I�}s��Z��D�

_s�YT{jsRR T Ws�Z�sjjk� s }s�YT{jsRR ��P��R �B s }s��${Zjs� }s�Y stI Ps��T{jsRR {B8A$tsT

�$Bt�

qZ�tT�$8� T qY� 8$t$8Z8 �$8� st s$�{�sP� t��IR A��b��t $�R jstI$t� �$8� stI �Y�

t�-� �s,�TB& �$8�� qY$R $t{jZI�R �Y� �$8� PB� RB8� 8$tB� $tR}�{�$BtR� }��}s�s�$Bt BP �Y�

s$�{�sP� PB� $�R t�-� ��$}� stI $�R 8B%�8�t� �B �Y� �Ztbsk� qZ�tT�$8� $R s$�{�sP� stI s$�}B��

I�}�tI�t�� stI $R �k}${sjjk n( T ;( 8$tZ��R PB� IB8�R�${ 4$�Y�R�

yt �Y� PBjjBb$t� R�{�$Bt� b� I$R{ZRR �Y� }�BAj�8 I�ht$�$Bt stI �Y� 8B�$%s�$Bt �Ys� j�I

ZR �B R�ZIk �Y$R }�BAj�8�

d�n s{,��BZtI stI �B�$%s�$Bt

!t� BP �Y� 8s`B� s$�j$t� B}��s�$Btsj }�BAj�8R $R �Y� R{Y�IZj� }jstt$t� }�B{�RR� bY${Y ZRZsjjk

{BtR$R�R BP R�%��sj R�JZ�t�$sj RZA}�BAj�8R T �Y� R{Y�IZj� I�R$�t }�BAj�8� �Y� 4��� sRR$�t8�t�

Page 14: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;

}�BAj�8� �Y� {��b R{Y�IZj$t� }�BAj�8� stI �Y� s$�{�sP� �BZ�$t� }�BAj�8 wq�BIB�B%${� d�MMD�

3j��� sRR$�t8�t� ��P��R �B �Y� sRR$�t8�t� BP s$�{�sP� �k}�R �B 4$�Y� j��R� bY���sR {��b

R{Y�IZj$t� ��P��R �B �Y� sRR$�t8�t� BP �s{Y {��b �B �YBR� 4$�Y� j��R �Ys� $� $R JZsj$h�I �B 4k�

3$tsjjk� s$�{�sP� �BZ�$t� wB� �B�s�$BtD ��P��R �B �Y� R{Y�IZj$t� BP �Y� $tI$%$IZsj s$�{�sP� �B

�BZ��R� bY$j� Rs�$RPk$t� �Y� �$%�t 4��� sRR$�t8�t�R� V{{B�I$t� �B {���s$t Zt$Bt {Bt��s{�R�

{��b R{Y�IZj$t� t��IR �B A� {B8}j���I b�jj $t sI%st{� BP 4$�Y� I�}s��Z��R RB �Ys� �Y� {��b

{st A� tB�$h�I �s�jk �tBZ�Y� qY$R PB�{�R $t$�$sj 4��� sRR$�t8�t�R �B A� {B8}j���I �%�t

�s�j$�� wZRZsjjk s {BZ}j� BP 8Bt�YR A�PB�� 4$�Y� I�}s��Z��RD $t B�I�� �B }�B%$I� �Y� 4���

$tPB�8s�$Bt �B �Y� {��b R{Y�IZj$t� R�s���

*�8stI $R Y$�Yjk %s�$sAj� $t �Y� s$�j$t� $tIZR��k w ���� stI <B}}��R�sI� d��nD� <BbT

�%��� �Y� s{{Z�s{k BP �Y� I�8stI PB��{sR� $8}�B%�R 8s�,�Ijk B%�� �$8�� ]BtR�JZ�t�jk� sR

8B�� $tPB�8s�$Bt $R �s�Y���I sABZ� I�8stI� Z}Is��R �B �Y� $t$�$sj 4��� sRR$�t8�t� A�{B8�

s}}�sj$t� �B $8}j�8�t� $t B�I�� �B s%B$I {ZR�B8�� R}$jj B� R}B$j $t {sR� bY�t �Y� BAR��%�I

I�8stI $R Zt�-}�{��Ijk Y$�Y B� jBb sR {B8}s��I b$�Y �Y� s$�{�sP� {s}s{$�k sRR$�t�I �B �Ys�

4$�Y� j��� �{sZR� BP �Y� t��I �B }��R��%� �Y� $t$�$sj {��b R{Y�IZj�� YBb�%��� s ��TsRR$�t8�t�

BP sjj 4���R $R }�BY$A$�$%�� qY$R j�sIR �B �Y� {Bt{�}� BP j$8$�$t� 4��� ��TsRR$�t8�t�R �B s$�T

{�sP� b$�Y$t �Y� Rs8� Ps8$jk� bY��� �Y� js����� sR I�ht�I sAB%�� {BtR$R�R BP I$&���t� s$�{�sP�

�k}�R� �s{Y Ys%$t� s I$&���t� {s}s{$�k� AZ� b$�Y �Y� Rs8� {B{,}$� {Bth�Z�s�$Bt� <�t{� s

��TsRR$�t8�t� BP s$�{�sP� b$�Y$t Bt� Ps8$jk b$jj Btjk {Yst�� �Y� s$�{�sP� B�$�$tsjjk sRR$�t�I

�B s {��b �B Bt� Ys%$t� s I$&���t� {s}s{$�k� AZ� k�� R��%${�sAj� Ak �Y� Rs8� {��b� yt bYs�

PBjjBbR� b� ��P�� �B �Y� ��TsRR$�t8�t� BP s$�{�sP� b$�Y$t Bt� Ps8$jk AsR�I Bt Z}Is��I I�8stI

PB��{sR� sR �Y� *�8stI *�$%�t i�T4���$t� w**iD }�BAj�8� qY$R }�BAj�8 $R �Y� PB{ZR BP

�Y� }��R�t� �Y�R$R�

i�%�tZ� {st PZ��Y�� A� $8}�B%�I s� s js��� R�s�� bY�t 8B�� 4�-$A$j$�k $R sII�I �Y�BZ�Y

Ikts8${sjjk Rbs}}$t� s$�{�sP�� Vj�YBZ�Y Btjk s j$8$��I tZ8A�� BP �-{Yst��R s�� }BRR$Aj�

A��b��t s R8sjj tZ8A�� BP s$�{�sP� IZ� �B �Y� }�B-$8$�k �B I�}s��Z�� �$8�R� �Y�R� Rbs}R {st

8s,� ZR� BP s 8B�� s{{Z�s�� I�8stI PB��{sR�� stI �YZR� {st A� }�B8$R$t� PB� }�Bh�sA$j$�k�

yt bYs� PBjjBbR� b� }��R�t� st B%��%$�b BP BZ� 8BI�j� stI �Y�t }�B%$I� sII$�$Btsj

Page 15: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

x

I��s$jR ���s�I$t� �Y� **i }�BAj�8� $�R ��js�$BtRY$}R b$�Y B�Y�� R{Y�IZj$t� }�BAj�8R �Ys�

s�$R� b$�Y$t �Y� B%��sjj R$�Zs�$Btsj {Bt��-�� stI ��R�s�{Y {Bt��$AZ�$BtR $t �Y$R �Y�R$R�

d�; �BI�j !%��%$�b

]j�s�jk� �Y��� $R Y$�Y I�}�tI�t{k A��b��t 3V� w�Y� 3j��� VRR$�t8�t� �BI�jD� **i� stI

Rbs}}$t�� qY� $t}Z�R �B �Y� 3V� s�� �Y� 4$�Y� t��bB�,� $���� j��R b$�Y !\* stI I�}s�T

�Z�� �$8�R� sR b�jj sR I$&���t� 0r��X BP s%s$jsAj� s$�{�sP�� qY� BZ�}Z� BP �Y� 3V� $R �Y�

sRR$�t8�t� BP I$&���t� s$�{�sP� �k}�R �B j��R� qY$R sRR$�t8�t� $R t�-� P�I $t�B �Y� {��b

R{Y�IZj$t� 8BI�j �B I����8$t� s {��b R{Y�IZj� �Ys� $R P�sR$Aj� b$�Y ��R}�{� �B �Y� �$%�t

4��� sRR$�t8�t�R� i�{sjj �Ys� IZ�$t� �Y� }�B{�RR BP RBj%$t� �Y� **i� b� t��I �B }��R��%�

�Y� {��b R{Y�IZj�� �Ys� $R� �s{Y **i }�BAj�8 {st ��TsRR$�t 4��� �k}�R �B 4$�Y�R b$�Y$t s

}s��${Zjs� Ps8$jk� qYZR �Y� **i $R {Btht�I �B {BtR$I�� 4$�Y� j��R �Ys� s�� sRR$�t�I �B �Y$R

Ps8$jk Ak 3V�� GY$j� IB$t� �Y$R� $� {st ��%$R� �Y� �$%�t 8s$t��tst{� R{Y�IZj�R R$�t$h{st�jk�

sR jBt� sR �Y� R�s��I 8s$t��tst{� ��JZ$��8�t�R s�� Rs�$Rh�I� !AR��%� �Ys� �Y$R ��IZ{�$Bt

P�B8 sjj �Y� Ps8$j$�R �B Btjk Bt� Ps8$jk� stI P�B8 sjj 4$�Y� j��R �B �Y� j��R sRR$�t�I �B �Y$R

}s��${Zjs� Ps8$jk sjBt�� ��IZ{�R �Y� }�BAj�8 R$9� {BtR$I��sAjk wAk s}}�B-$8s��jk �(TM(0

Bt �Y� s%��s��D� ]BtR�JZ�t�jk� s 8B�� I��s$j�I stsjkR$R $t{jZI$t� �Y� {BtR$I��s�$Bt BP }s�Y

I�8stI $tPB�8s�$Bt stI I�8stI �stIB8t�RR $R }BRR$Aj� $t �Y� **i }�BAj�8� !t �Y�

B�Y�� YstI� �%�t �YBZ�Y �Y� $t$�$sj 4���$t� {BtR��s$tR �Y� **i RBjZ�$Bt w$���� �s{Y 4$�Y�

j�� $t �Y� ��T4���$t� {st Btjk A� sRR$�t�I �B st s$�{�sP� BP �Y� Rs8� Ps8$jk sR $�R $t$�$sj

s$�{�sP�D� �Y� ��%$R�I 4���$t� {st R�$jj I$&�� R$�t$h{st�jk P�B8 �Y� $t$�$sj 4���$t�� Ak %$��Z� BP

s ��TsRR$�t8�t� BP s$�{�sP� �k}�R AsR�I Bt I�8stIT{s}s{$�k ��JZ$��8�t�R� VR s ��RZj�� **i

b$jj� }�BAsAjk� A� }��PB�8�I Btjk Bt{� A�PB�� I�}s��Z��� stI �Y� �$8� �B }��PB�8 **i b$jj

A� s� j�sR� �bB B� �Y��� b��,R $t sI%st{� BP I�}s��Z�� �B s%B$I 8s`B� I$R�Z�Ast{�R �B �Y�

}jstt$t� }�B{�RR� <���sP���� b� ZR� **i sRR$�t8�t� �B ��P�� �B �Y� sRR$�t8�t� BA�s$t�I

Ak �Y� **i 8BI�j�

Ws�Z�sjjk� I�8stI PB��{sR� ,��}R $8}�B%$t� �%�t sP��� �Y� **i $R RBj%�I� qB PZ��Y��

Z�$j$9� �Y$R $tPB�8s�$Bt� q7E70�Q Rbs}R A��b��t I$&���t� �k}�R BP �Y� Rs8� Ps8$jk {st A�

Page 16: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

E

}��PB�8�I js��� Bt� b$�Y st s���8}� �B }��R��%� �Y� ��%$R�I 4���$t� �B �Y� ���s��R� �-��t�

w8s$tjk IZ� �B �Y� I�R$�� B� t��I �B }��R��%� s$�}B�� R��%${�R: R{Y�IZj�RD� stI RB sR �B

�s,� sI%st�s�� BP s 8B�� I��s$j�I I�8stI PB��{sR� wR}�{$h{ PB� �s{Y IskD� qY� *�8stI

*�$%�t *$R}s�{Y w*�

D }�B}BR�I Ak ���� stI <B}}��R�sI wd��nD� bY${Y b$jj A� ��%$�b�I $t

I��s$j $t �Y� t�-� {Ys}���� $R st �-s8}j� BP �Y$R Is$jk Rbs}}$t� }�B{�RR� yt �Y$R Rbs}}$t�

}�B{�RR� �Y� **i sRR$�t8�t� ��}js{�R �Y� $t$�$sj sRR$�t8�t� sR st $t}Z� �B �Y� Is$jk 4���$t�

s}}j${s�$Bt� stI �Y� Rbs}R s�� R�j�{��I RZ{Y �Ys� RBBt sP��� �Y� Rbs}R� �Y� ��%$R�I 4���$t�

RBjZ�$Bt $R R�$jj $t�s{�� qY$R sRRZ��R �Ys� �Y� Rbs}R {st A� }B��t�$sjjk }��PB�8�I Bt s Is$jk

AsR$R� AsR�I Bt �Y� **i sRR$�t8�t��

G� �t%$R$Bt �Y� B%��sjj 4���$t� }�B{�RR �B A� RB8�bYs� R$8$js� �B �Y� Bt� �$%�t $t

3$�Z�� d� qY� PB{ZR BP �Y$R �Y�R$R b$jj A� Bt �Y� **i }�BAj�8� Vtsjk9$t� �Y� I��s$jR BP

�Y�R� �bB js���� }�BAj�8R� sjBt� b$�Y �Y� I�}�tI�t{$�R A��b��t sjj �Y� �Y��� }�BAj�8R� $R

s jBt�T���8 ��R�s�{Y �Bsj stI s PZ�Z�� ��R�s�{Y I$��{�$Bt�

yt �Y� t�-� R�{�$Bt� b� }�B%$I� PZ��Y�� I��s$jR Bt �Y� **i }�BAj�8�

d�x _�BAj�8 7�s��8�t�

d�x�d !A`�{�$%�

qY� BA`�{�$%� BP �Y� *�8stI *�$%�t i�T4���$t� w**iD }�BAj�8 $R �B ��%$R� �Y� $t$�$sj 4���T

$t� sRR$�t8�t�R sR stI bY�t A����� I�8stI PB��{sR� A�{B8�R s%s$jsAj�� RB sR �B 8s-$8$9�

�Y� �B�sj ��%�tZ��

VR 8�t�$Bt�I sAB%�� �Y� 3V� sRR$�tR �s{Y 4$�Y� j�� �B st s$�{�sP� �k}�� p$%�t �Y$R

sRR$�t8�t�� b� bst� �B htI s t�b sRR$�t8�t� PB� �s{Y Ps8$jk RB sR �B A�R� X8s�{Y" s$�{�sP�

{s}s{$�$�R b$�Y I�8stIR� b$�Y �Y� $t��t� �Ys� �Y� R}$jj stI R}B$j� B� jBR� {ZR�B8��R stI

�8}�k R�s�R� s�� 8$t$8$9�I� stI �Y� }�Bh� $R 8s-$8$9�I�

]j�s�jk� s RBjZ�$Bt �B �Y� **i }�BAj�8 t��IR �B Rs�$RPk sjj �Y� {BtR��s$t�R �Ys� s��

}��R�t� $t �Y� $t$�$sj 4���$t�� bY${Y b$jj A� I�R{�$A�I $t 7�{�$Bt d�x�1� VR 8�t�$Bt�I sAB%��

�Y��� s��� YBb�%��� �bB 8s$t I$&���t{�R A��b��t �Y� $t$�$sj 4��� sRR$�t8�t� stI �Y� **i

Page 17: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

Fleet Assignment

(Solves fleeting problem for the entire fleet) (120-90 days out)

Demand Driven Re-fleeting (Solves a constrained fleeting problem for individual family) (30-14 days out)

Demand Driven Dispatch (Allows limited swaps only; can be performed daily.) (7-1 days out)

Revised

fleeting

Initial

fleetin

g

3$�Z�� dU �BI�j !%��%$�b�

}�BAj�8U wdD qY� **i }�BAj�8 $R RBj%�I PB� �s{Y s$�{�sP� Ps8$jk� $tR��sI BP �Y� bYBj� 4����

qYZR� $�R R$9� $R {BtR$I��sAjk R8sjj�� �Yst �Ys� PB� �Y� 4��� sRR$�t8�t� }�BAj�8� w1D V� �Y�

�$8� BP RBj%$t� �Y� **i� s 8B�� s{{Z�s�� stI I��s$j�I I�8stI PB��{sR� ws� �Y� }s�YT{jsRR

j�%�jD $R s%s$jsAj�� qYZR� s RBjZ�$Bt s}}�Bs{Y �B �Y� **i }�BAj�8 RYBZjI �s,� sI%st�s��

BP �Y� R8sjj�� }�BAj�8 R$9�� stI �Y� $8}�B%�I stI 8B�� I��s$j�I I�8stI PB��{sR��

�jBb� b� $t��BIZ{� �Y� }�$8s�k {BtR��s$t�R �Ys� t��I �B A� Rs�$Rh�I Ak �Y� **i

}�BAj�8�

Page 18: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

M

d�x�1 ]BtR��s$t�R

7$8$js� �B �Y� 4��� sRR$�t8�t� }�BAj�8� �Y� **i }�BAj�8 t��IR �B Rs�$RPk �Y� PBjjBb$t�

R��R BP {BtR��s$t�R� i�{sjj �Ys� �Y� **i }�BAj�8 b$jj A� RBj%�I PB� �s{Y s$�{�sP� Ps8$jk�

�Ys� $R� sjj 4$�Y� j��R $t$�$sjjk sRR$�t�I �B st s$�{�sP� �k}� BP s Ps8$jk $t �Y� $t$�$sj 4���

sRR$�t8�t� R�$jj t��I �B A� sRR$�t�I �B st s$�{�sP� �k}� b$�Y$t �Y� Rs8� Ps8$jk�

T 7Z}}jk �sts��8�t� ]BtR��s$t�RU ]BtR��s$t�R �Ys� �tRZ�� �Y� P�sR$A$j$�k BP sRT

R$�t$t� s$�{�sP� �k}�R �B j��R� qY�R� s�� sjRB �Y� AsR${ {BtR��s$t�R ZR�I $t �Y� 3V��

stI $t{jZI�U

]B%�� ]BtR��s$t�RU es{Y 4$�Y� j�� B�$�$tsjjk sRR$�t�I �B s Ps8$jk t��IR �B A�

sRR$�t�I �B st s$�{�sP� �k}� b$�Y$t �Ys� Rs8� Ps8$jk� �Ys� $R� �s{Y 4$�Y� j�� t��IR �B

A� {B%���I Ak st s$�{�sP� �k}� P�B8 �Y$R Ps8$jk�

sjst{� ]BtR��s$t�RU qY� 4Bb $t stI BZ� BP �s{Y s$�}B�� t��IR �B A� Asjst{�I�

V$�{�sP� V%s$jsA$j$�k ]BtR��s$t�RU qY� tZ8A�� BP s%s$jsAj� s$�{�sP� BP �s{Y

�k}� $R �$%�t stI {sttB� A� �-{��I�I�

T *�8stI �sts��8�t� ]BtR��s$t�RU qY�R� s�� {BtR��s$t�R �Ys� �tRZ�� �Ys� }�BT

`�{��I Rsj�R IB tB� �-{��I �$�Y�� {s}s{$�$�R B� I�8stIR�

T !�Y�� ]BtR��s$t�RU qY�R� $t{jZI� {BtR��s$t�R �Ys� $t����s�� RZ}}jk 8sts��8�t�

stI I�8stI 8sts��8�t� I�{$R$BtR� sR b�jj sR s$�{�sP� 8s$t��tst{� {BtR��s$t�R� qY�

I��s$jR BP 8s$t��tst{� {BtR��s$t�R s�� I�R{�$A�I $t V}}�tI$- d�

d�E i�R�s�{Y ]Bt��$AZ�$BtR

yt �Y$R �Y�R$R� b� }�B}BR� st B%��sjj P�s8�bB�, PB� RZ}}jk 8sts��8�t� $t s$�j$t�R �Ys� �s,�R

sI%st�s�� BP 4�-$A$j$�$�R $t �Y� RkR��8 {s}s{$�k� qY$R P�s8�bB�, $t{jZI�R �Y��� R�JZ�t�$sj

R�s��R T �Y� 4��� sRR$�t8�t� R�s��� �Y� **i R�s��� stI �Y� Is$jk Rbs}}$t� R�s��� VR �Y�

4$�Y� I�}s��Z�� �$8� I�sbR t�s�� �Y�R� R�s��R Z�$j$9� 8B�� s{{Z�s�� PB��{sR� $tPB�8s�$Bt �B

Page 19: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

A����� 8s�{Y �Y� 4��� {s}s{$�$�R b$�Y I�8stIR RB sR �B }Z�RZ� A����� }�Bh�R� qY� PB{ZR BP

�Y$R �Y�R$R $R �Y� **i {B8}Bt�t� BP �Y$R P�s8�bB�,�

qY��� YsR A��t st $t{��sR$t� ���tI $t ��{�t� k�s�R �B $t����s�� �Y� I$&���t� R{Y�IZj$t�

}�B{�RR�R� AZ� �Y� j$���s�Z�� Bt $t����s�$t� �Y� R{Y�IZj$t� }�B{�RR�R b$�Y ��%�tZ� 8sts��T

8�t� $R R�$jj j$8$��I� qY� }�B}BR�I *�8stI *�$%�t i�T4���$t� 8BI�j ��sj$9�R �Y$R $t����sT

�$Bt� stI �YZR }s��$sjjk $t����s��R �Y� RZ}}jk stI I�8stI 8sts��8�t� R��s���$�R $t �Y�

s$�j$t� $tIZR��k�

yt �Y� 4��� sRR$�t8�t� sR b�jj sR �Y� ��T4���$t� j$���s�Z��� I�8stIR s�� ��t��sjjk sRT

RZ8�I �B A� j��T$tI�}�tI�t�� <Bb�%��� b� b$jj RYBb js��� �Ys� I�8stIR s�� Y$�Yjk I�}�tT

I�t� A��b��t j��R �Ys� RYs�� �Y� Rs8� }s�Y� !t �Y� B�Y�� YstI� }s�YTj�%�j I�8stIR 8B��

s{{Z�s��jk ��4�{� �Y� ��sj RkR��8� qB BZ� ,tBbj�I��� �Y$R $R �Y� h�R� �&B�� �Ys� $t{jZI�R

}s�YTj�%�j I�8stIR $t�B 4��� sRR$�t8�t� ��js��I 8BI�jR� e&�{�$%� RBjZ�$Bt s}}�Bs{Y�R s��

I�R$�t�I PB� RZ{Y s **i 8BI�j� stI s�� ��R��I Bt }�s{�${sj R$9�I }�BAj�8R �B I�8BtR��s��

$�R s}}j${sA$j$�k $t �Y� s$�j$t� $tIZR��k�

<Bb�%��� �Y$R �Y�R$R IB�R tB� s���8}� �B stRb�� �Y� JZ�R�$BtR Bt �Y� $t�����js�$Bt BP

�Y� �Y��� R�s��R $t �Y� P�s8�bB�,� RZ{Y sR YBb IB �Y� $t$�$sj 4��� sRR$�t8�t�� �Y� **i

}�BAj�8� stI �Y� RZAR�JZ�t� Rbs}}$t� }�B{�RR $t���s{�� stI bYs� $R �Y� $8}s{� BP �Y�

$t$�$sj 4��� sRR$�t8�t� Bt �Y� **i stI Bt �Y� Rbs}R� qY�R� �-��tR$BtR ��8s$t �B A� %��k

$t����R�$t� PZ�Z�� ��R�s�{Y $I�sR�

Page 20: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

]Ys}��� 1

N$���s�Z�� i�%$�b

VR 8�t�$Bt�I $t ]Ys}��� d� �Y� ��T4���$t� }�BAj�8 $R Y$�Yjk {BtR��s$t�I Ak �Y� RBjZ�$Bt �B

�Y� 4��� sRR$�t8�t� }�BAj�8 w3V_D� qYZR� $t bYs� PBjjBbR� b� h�R� }�B%$I� st B%��%$�b BP

�Y� j$���s�Z�� Bt 3V_ $t 7�{�$Bt 1�d� qY�t� $t 7�{�$Bt 1�1� b� I$R{ZRR j$���s�Z�� Bt I$&���t�

s}}�Bs{Y�R PB� $t����s�$t� 3V_ b$�Y B�Y�� R{Y�IZj$t� }�B{�RR�R� stI $t 7�{�$Bt 1�n� b�

}��R�t� s ��%$�b BP �Y� j$���s�Z�� Bt �Y� ��T4���$t� stI Rbs}}$t� }�BAj�8R� 3$tsjjk� $t

7�{�$Bt 1�;� b� I$R{ZRR j$���s�Z�� Bt I$&���t� RBjZ�$Bt s}}�Bs{Y�R PB� R�B{YsR�${ B}�$8$9s�$Bt

}�BAj�8R�

1�d 3j��� VRR$�t8�t� _�BAj�8

qY� 3j��� VRR$�t8�t� _�BAj�8 w3V_D $R s 8s`B� {B8}Bt�t� BP �Y� s$�j$t� R{Y�IZj$t�

}�B{�RR� stI �YZR� YsR A��t R�ZI$�I s� {BtR$I��sAj� j�t��Y Ak ��R�s�{Y��R stI }�s{�$�$Bt��R�

�BR� ��R�s�{Y��R ZR� �Y� Rs8� �%��k Isk 8BI�j w$���� �Y� Rs8� 4$�Y� R{Y�IZj� $R ZR�I �%��k

Isk BP �Y� }jstt$t� }��$BID PB� �Y� 3V_� qY�k PB�8Zjs�� �Y� 3V_ sR st $t����� }�BAj�8

wy_D stI }�B}BR� s %s�$��k BP s}}�Bs{Y�R �B BA�s$t s �BBI RBjZ�$Bt $t ��sRBtsAj� {B8}Z�$t�

�$8� wR��� PB� $tR�st{�� VAs�s d�M�� <st� �� sj� d��x� ]js�,� �� sj� d��ED� 3B� ��t��sj

s}}�Bs{Y�R $t RBj%$t� y_ }�BAj�8R� b� ��P�� ��sI��R �B 7Y��sj$ stI *�$R{Bjj 1((( PB� st

�-��tR$%� ��%$�b�

d(

Page 21: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

dd

�BR� y_ PB�8Zjs�$BtR �8}jBk s �$8�TR}s{� t��bB�, wpB}sjst stI qsjjZ�$ d��M� ]js�,�

d��E� qsjjZ�$ d��ED� $t bY${Y �s{Y s$�}B�� s� �s{Y �%�t� ws��$%sj B� I�}s��Z�� �$8� BP s

4$�Y� �B\P�B8 �Ys� s$�}B��D $R ��}��R�t��I sR s tBI�� qY��� s�� �Y��� �k}�R BP s�{R $t �Y�

t��bB�,U ��BZtI s�{R ��}��R�t�$t� s$�{�sP� R�sk$t� s� �Y� Rs8� R�s�$Bt PB� s �$%�t }��$BI BP

�$8�� 4$�Y� s�{R ��}��R�t�$t� �s{Y 4$�Y� j��� stI B%��t$�Y� s�{R wB� b�s}Ts�BZtI s�{RD ZR�I

�B {Btt�{� �Y� jsR� �%�t� BP �Y� Isk b$�Y �Y� h�R� �%�t� BP �Y� PBjjBb$t� Isk� qY$R Xb�s}}$t�

Z}" �tRZ��R s$�{�sP� Asjst{� s� �s{Y s$�}B��� $t sII$�$Bt �B �Y� Rs8� Is$jk R{Y�IZj��

yt �$8�TR}s{� t��bB�,R� Bt� j$8$�s�$Bt $R �Ys� �Y� s$�{�sP� �k}�R s�� tB� I$&���t�$s��I

bY�t Bt �Y� ��BZtI� qY� sRRZ8}�$Bt $R �Ys� sjj s$�{�sP� �k}�R Ys%� �Y� Rs8� {s}sA$j$�k stI

s�� sAj� �B 4k sjj 4$�Y� j��R� iZRY8�$�� stI �Bt�B�$B��R wd���D PB�8Zjs��I s 8Zj�${B88BIT

$�k t��bB�, R��Z{�Z�� �B s{{B88BIs�� I$&���t� s$�{�sP� �k}� {s}sA$j$�$�R� yt �Y�$� t��bB�,�

�s{Y tBI� $R st �%�t� ��}��R�t�$t� �Y� R�s�� BP st B}��s�$Bt wW � �D� $���� s 4$�Y� W B}��s��I

Ak s$�{�sP� �k}� �� es{Y 4$�Y� s{�$%$�k s�{ ��}��R�t�R s �k}� � �Ys� $R ZR�I �B B}��s�� 4$�Y�

j�� W stI $R sjRB s%s$jsAj� PB� {Btt�{�$Bt �B 4$�Y� j�� /� stI �s{Y R$� s{�$%$�k s�{ ��}��R�t�R

s �k}� � �Ys� $R ZR�I �B B}��s�� 4$�Y� j�� W stI $R sjRB s%s$jsAj� tB� Btjk �B �Y� $88�I$s��

RZ{{�RRB� 4$�Y� j�� /� AZ� sjRB �B sjj js��� 4$�Y�R� ]B8}s��I b$�Y �$8�TR}s{� t��bB�,R�

�Y� R$� s{�$%$�k s�{R s�� R$8$js� �B �Y� ��BZtI s�{R bY�t tB 4$�Y� j��R s�� }�BY$A$��I PB�

stk �k}�R� !t �Y� B�Y�� YstI� �Y$R t�b t��bB�, R��Z{�Z�� {st �sR$jk ��Bb Zt8sts��sAjk

R$t{� �Y� {YB${� BP 4$�Y� {Btt�{�$BtR $R js���� qY� sZ�YB�R RZ���R��I j$8$�$t� �Y� tZ8A��

BP {Btt�{�$BtR �B s R8sjj R$9� �B ,��} �Y� }�BAj�8 ��s{�sAj��

�BR� y_ 8BI�jR $t{jZI� �Y� PBjjBb$t� �Y��� R��R BP {BtR��s$t�R wpB}sjst stI qsjjZ�$�

d��MDU wsD ]B%�� ]BtR��s$t�R� bY${Y I�8stI �Ys� �s{Y j�� A� sRR$�t�I �B Bt� s$�{�sP� �k}��

wAD sjst{� ]BtR��s$t�R� bY${Y ��JZ$�� �Ys� �Y� 4Bb $t stI BZ� BP st s$�}B�� A� Asjst{�I

w$���� �Y� �B�sj tZ8A�� BP s$�{�sP� 4k$t� $t stI {Z���t�jk s� �Ys� R�s�$Bt RYBZjI �JZsj �Y�

�B�sj tZ8A�� BP s$�{�sP� �Ys� s�� �$�Y�� 4k$t� BZ� B� R�sk$t� s� �Y� R�s�$BtD� w{D V%s$jsA$j$�k

]BtR��s$t�R w]BZt� ]BtR��s$t�RD� bY${Y ��JZ$�� �Ys� �Y� tZ8A�� BP s$�{�sP� BP �s{Y �k}� �Ys�

s�� sRR$�t�I �B 4$�Y�R {sttB� �-{��I �Y� �B�sj s%s$jsAj� tZ8A��� <���sP���� b� b$jj ��P��

�B �Y�R� �Y��� R��R BP {BtR��s$t�R sR �Y� AsR${ 3V_ {BtR��s$t�R� yt �Y� BA`�{�$%� PZt{�$Bt�

Page 22: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d1

8BR� 8BI�jR {BtR$I�� �Y� {BR� BP sRR$�t$t� s {���s$t s$�{�sP� �k}� �B s 4$�Y� j��� qY$R {BR�

���8 {BtR$R�R BP �bB {B8}Bt�t�RU �Y� B}��s�$t� {BR� stI �Y� R}$jj {BR� wVAs�s d�M�� <st�

�� sj� d��x� ]js�,� �� sj� d��ED� Vj�YBZ�Y �Y� B}��s�$t� {BR� $R ��js�$%�jk }��I${�sAj� PB�

�s{Y s$�{�sP� �k}� stI 4$�Y� j��� �Y� R}$jj {BR� I�}�tIR Bt �Y� Y$�Yjk Zt{���s$t I�8stI� stI

�YZR� {st A� %��k I$^{Zj� �B �R�$8s�� wOZ stI Ost�� d��MD� qYZR� �Y� I�8stI %s�$sA$j$�k

stI I$R��$AZ�$Bt s�� tB� �-}j${$�jk {BtR$I���I $t �Y�R� $t����� }�B��s88$t� PB�8Zjs�$BtR�

yt sII$�$Bt� 8BR� PB�8Zjs�$BtR BP �Y$R �k}� {BtR$I�� s ��js-s�$Bt BP �Y� {B8}j��� 4���$t�

}�BAj�8 stI IB tB� $t{jZI� s$�{�sP� 8s$t��tst{� {BtR��s$t�R� 3�B8 �Y� 3V_ BZ�}Z�� �s{Y

j�� $R sRR$�t�I �B Bt� s$�{�sP� �k}� $t �Y� Ps8$jk� <Bb�%��� s R��8$t�jk P�sR$Aj� sRR$�t8�t�

{st A� $tP�sR$Aj� $t }�s{�${� bY�t 8s$t��tst{� $R {BtR$I���I� 3B� �-s8}j�� sR RYBbt $t

3$�Z�� 1� $t e-s8}j� wsD� j��R s stI { s�� sRR$�t�I �B s$�{�sP� �k}� d� stI j��R A stI I

s�� sRR$�t�I �B s$�{�sP� �k}� 1� V$�{�sP� �k}� d 8$�Y� ��R$I� B%��t$�Y� s� 7�s�$Bt V stI

s$�{�sP� �k}� 1 s� 7�s�$Bt ]� _BRR$Aj� 8s$t��tst{� {st A� }��PB�8�I B%��t$�Y�jk s� �Y�R�

�bB ��R}�{�$%� R�s�$BtR $P 7�s�$Bt V $R JZsj$h�I �B 8s$t�s$t �k}� d stI 7�s�$Bt ] $R JZsj$h�I

�B 8s$t�s$t �k}� 1� Vj���ts�$%�jk� $t e-s8}j� wAD BP 3$�Z�� 1� j��R s stI I s�� sRR$�t�I

�B Bt� �k}� bY$j� j��R A stI { sRR$�t�I �B stB�Y��� VR s ��RZj�� �k}� d stI 1 b$jj �s,�

�Z�tR �B ��R$I� B%��t$�Y� s� �Y� �bB R�s�$BtR V stI ] �%��k B�Y�� Isk� B�Y �-s8}j�R s��

P�sR$Aj� $t ���8R BP sRR$�t8�t� b$�YBZ� 8s$t��tst{�� <Bb�%��� �Y� sRR$�t8�t� $t e-s8}j�

wAD $R $tP�sR$Aj� Ztj�RR 8s$t��tst{� $R sjbskR }��PB�8�I �%��k B�Y�� Isk� B� AB�Y R�s�$BtR

s�� JZsj$h�I �B 8s$t�s$t AB�Y �k}�R�

!t� BP �Y� P�b }s}��R Bt �Y� 3V_ �Ys� $t{jZI�R 8s$t��tst{� {BtR��s$t�R $R Ak ]js�,� ��

sj� wd��ED� bYB }�B}BR� �bB s}}�Bs{Y�R� yt �Y� h�R� s}}�Bs{Y� $t sII$�$Bt �B �Y� AsR${ 3V_

{BtR��s$t�R� �Y�k $t{jZI� st sII$�$Btsj {BtR��s$t� ��JZ$�$t� tB j�RR �Yst s �$%�t }��{�t�s��

BP s$�{�sP� �B A� s%s$jsAj� s� �s{Y 8s$t��tst{� R�s�$BtU �Y$R $R s %��k R$8}j� s}}�B-$8sT

�$Bt �B �Y� 8s$t��tst{� ��JZ$��8�t�R� qY� R�{BtI s}}�Bs{Y {BtR$I��R �Y� 8s$t��tst{�

��JZ$��8�t�R $t ���s��� I��s$j� stI Z�$j$9�R s j$R� BP R{Y�IZj�I 8s$t��tst{� s{�$%$�$�R� bY${Y

$t{jZI�R� PB� �s{Y 8s$t��tst{� s{�$%$�k� �Y� 8s$t��tst{� R�s�$Bt� s$�{�sP� �k}�� �s�j$�R�

R�s��$t� �$8� stI js��R� {B8}j��$Bt �$8� PB� 8s$t��tst{�� stI $�R �-}�{��I IZ�s�$Bt� qYZR�

Page 23: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

dn

Leg d

Leg b Leg a

Station B

Station A Station C

Example (a) Type 1 is assigned to legs a and c, and Type 2 is assigned to legs b and d.

Leg c

Example (b) One type is assigned to legs a and d, and the other type is assigned to legs b and c. The two types switch assignments every day.

Station A

Station B

Station C

Leg d

Leg b Leg a

Leg c

3$�Z�� 1U yjjZR��s�$Bt BP VRR$�t8�t� i�js�$t� �B �s$t��tst{��

�Y��� $R s �$8�Tb$tIBb {B���R}BtI$t� �B �s{Y 8s$t��tst{� ��JZ$��8�t��

i�{sjj �Ys� 3VV ��JZ$��R PBZ� �k}�R BP 8s$t��tst{� {Y�{,R� V8Bt� �Y�8� �Y� ] stI *

{Y�{,R �s,� jBt��� �Yst 1; YBZ�R stI s�� tB� {BtR$I���I $t �Y$R 8BI�jU s$�{�sP� R{Y�IZj�I �B

ZtI���B �Y�R� {Y�{,R s�� R�� sR XZts%s$jsAj�" $t �Y� 8BI�j� ]js�,� �� sj�� �Y�t� {jsRR$Pk �Y�

B�Y�� �bB 8s$t��tst{� ��JZ$��8�t�R $t�B �bB ��BZ}R AsR�I Bt �Y� �-}�{��I IZ�s�$BtU �Y�

RYB�� 8s$t��tst{� ��JZ$��8�t�R stI �Y� jBt� 8s$t��tst{� ��JZ$��8�t�R� bY${Y {B���R}BtI

�B �Y� V {Y�{,R stI �Y� {Y�{,R� ��R}�{�$%�jk� sR�I Bt �Y$R j$R�� �Y�k {��s�� 8s$t��tst{�

s�{R� bY${Y I�}s�� P�B8 stI s��$%� s� �Y� Rs8� R�s�$Bt� stI bY${Y s�� }s�sjj�j �B �Y�

Page 24: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d;

��BZtI s�{R� qY� IZ�s�$Bt BP �s{Y jBt� 8s$t��tst{� s�{ $R� ��t��sjjk� jBt��� �Yst YsjP

BP $�R �$8�Tb$tIBb j�t��Y� qY$R �tRZ��R �Ys� tB s$�{�sP� {st �s,� �bB jBt� 8s$t��tst{�

s�{R T {B���R}BtI$t� �B �Y� Rs8� ��JZ$��8�t� T $t s �Bb� qY$R� YBb�%��� $R tB� �Y� {sR�

PB� RYB�� 8s$t��tst{�� IZ� �B $�R IZ�s�$Bt� qYZR� �-��s �&B�� $R 8sI� �B }��%�t� IBZAj�T

{BZt�$t�� bY${Y 8$�Y� Ys}}�t bY�t �s{Y 8s$t��tst{� IZ�s�$Bt $R RYB���� �Yst YsjP BP �Y�

�$8�Tb$tIBb j�t��Y� stI �YZR� �Y� Rs8� s$�{�sP� {st �s,� 8B�� �Yst Bt� RYB�� 8s$t��tst{�

s�{ T BP �Y� Rs8� ��JZ$��8�t� T Bt� sP��� �Y� B�Y��� qB s%B$I �Y$R R$�Zs�$Bt� �s{Y 4$�Y� s�{

�Ys� {st A� PBjjBb�I Ak s RYB�� 8s$t��tst{� $R IZ}j${s��IU Bt� $R �Y� ��sj 4$�Y� s�{� �Y�

B�Y�� $R �Y� 4$�Y� s�{ �-��tI�I Ak �Y� IZ�s�$Bt BP �Y� RYB�� 8s$t��tst{� ��JZ$��8�t�� qY�

{B%�� {BtR��s$t�R s�� t�-� ��stRPB�8�I �B �tRZ�� �Ys� PB� �s{Y 4$�Y� j��� �$�Y�� $�R ��sj 4$�Y�

s�{ B� $�R �-��tI�I 4$�Y� s�{ $R {B%���I Ak �s{Y s$�{�sP� �k}�� qY$R� YBb�%��� $t{��sR�R �Y�

tZ8A�� BP $t����� %s�$sAj�R R$�t$h{st�jk� V ��js-s�$Bt $R }�B}BR�I� bY${Y $t{jZI�R s 8$- BP

8s$t��tst{� s�{R stI �Y�R� �-��tI�I 4$�Y� s�{R�

*Z� �B �Y� js��� R$9�R BP �Y�R� $t����� }�BAj�8R� RB8� ��R�s�{Y��R Ys%� R�s���I $t%�R�$�s�T

$t� �Y� �&�{�$%�t�RR BP I$&���t� RBjZ�$Bt s}}�Bs{Y�R PB� �Y� 3V_� 7BRtBbR,s w1(((D }��R�t�R

�bB Y�Z�$R�${R PB� �Y� 3V_� AB�Y AsR�I Bt �stIB8$9�I jB{sj R�s�{Y }�B{�IZ��RU p���Ik istT

IB8$9�I VIs}�$%� 7�s�{Y _�B{�IZ�� wpiV7_D stI 7$8Zjs��I Vtt�sj$t� w7VD� 7BRtBbR,s

I�ht�R s R�JZ�t{� BP 4$�Y� j��R sRR$�t�I �B �s{Y s$�{�sP� sR s �B�s�$Bt {k{j�� qZ�tT�$8� $R

$t{jZI�I $t �Y� {BtR��s$t�R� B�Y piV7_ stI 7V R�s�� b$�Y �stIB8jk ��t��s��I $t$�$sj

RBjZ�$BtR� bY${Y {BtR$R� BP s �B�s�$Bt {k{j� PB� �s{Y s$�{�sP�� stI }��PB�8 s R�s�{Y �Ys� 8sk

j�sI �B s 8B%� P�B8 �Y� {Z���t� RBjZ�$Bt �B Bt� BP $�R t�$�YAB�R� V t�$�YAB� $R {��s��I Ak s

Rbs} B}��s�$Bt� qY� Rbs} B}��s�$Bt R�j�{�R s }s$� BP s$�{�sP�� I����8$t�R s {B88Bt s$�}B��

$t �Y�$� �B�s�$Bt {k{j�R� stI Rb$�{Y�R �Y� }B��$BtR BP �Y� �bB �B�s�$Bt {k{j�R PBjjBb$t� �Y�

{B88Bt s$�}B��� $P $� $R P�sR$Aj� �B IB RB� yt }s��${Zjs�� �Y� Asjst{� {BtR��s$t�R stI �$8�

{BtR��s$t�R t��I �B A� Rs�$Rh�I sP��� �Y� Rbs}� $���� �Y� h�R� }B��$Bt BP Bt� BP �Y� �B�s�$Bt

{k{j�R RYBZjI ���8$ts�� A�PB�� �Y� R�s�� BP �Y� R�{BtI }B��$Bt BP �Y� B�Y�� �B�s�$Bt {k{j��

yt �Y� piV7_ sj�B�$�Y8� st $tt�� jBB} stI st BZ��� jBB} s�� }��PB�8�I� qY� $tt�� jBB}

$R s NB{sj !}�$8$9s�$Bt _YsR�� bY${Y �stIB8jk R�j�{�R s h-�I tZ8A�� BP }s$�R BP �B�s�$Bt

Page 25: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

dx

{k{j�R stI }��PB�8R Rbs} B}��s�$BtR� qY� Rbs} bY${Y $8}�B%�R �Y� {BR� 8BR� R$�t$h{st�jk

$R R�B��I� qY$R $R �Y�t }sRR�I �B �Y� BZ��� jBB}� �Y� ]BtR��Z{�$Bt _YsR�� bY${Y h-�R �Y� A�R�

R�%��sj Rbs}R P�B8 �Y$R stI }��%$BZR $���s�$BtR� stI ��sRR$�tR �Y� ��8s$t$t� 4$�Y�R �stIB8jk

�B �Y� B�Y�� s$�{�sP�� =tj$,� piV7_� bY${Y ���s$tR Btjk �Y� $8}�B%$t� RBjZ�$BtR IZ�$t� �Y�

t�$�YAB�YBBI R�s�{Y�R� �Y� 7V s{{�}�R tB� Btjk $8}�B%$t� RBjZ�$BtR AZ� sjRB s }�B}B��$Bt BP

I����$B�s�$t� Bt�R� b$�Y �Y� YB}� BP tB� ����$t� ��s}}�I s� s jB{sj B}�$8Z8� qY� �-}�{��I

I�8stI stI �Y� {BR� BP Bt� YBZ� BP 4$�Y� s�� ZR�I �B {B8}Z�� �Y� �-}�{��I }�Bh�� qY���

s�� �bB 8s$t I�sbAs{,R BP �Y� ��RZj�$t� 8BI�j� 3$�R�� I�8stI %��RZR {s}s{$�k $tPB�8s�$Bt

stI I�8stI R�B{YsR�${$�k s�� tB� $t{jZI�I $t �Y� $t$�$sj sRR$�t8�t� sR b�jj sR �Y� Rbs}}$t�

R��}R� qYZR� �Y� $t$�$sj RBjZ�$BtR stI �Y� }B��t�$sj Rbs}R s�� ��t��s��I �stIB8jk� stI

s�� tB� AsR�I Bt s A����� sRR$�t8�t� }BRR$A$j$�k� 7�{BtI� 8s$t��tst{� {BtR��s$t�R s�� tB�

{BtR$I���I $t �Y� 8BI�j�

1�1 yt����s��I V}}�Bs{Y�R �B 3V_ stI B�Y�� 7{Y�IZj$t� _�B{�RR�R

VR R�s��I $t �Y� }��%$BZR {Ys}���� RBj%$t� 3V_ b$�YBZ� {BtR$I��$t� $�R $t����s�$Bt b$�Y

I�8stI 8sts��8�t� stI �Y� 4$�Y� t��bB�, R{Y�IZj$t� YsR RB8� I�sbAs{,R� stI $R tB�

t�{�RRs�$jk A�t�h{$sj �B �Y� �B�sj ��%�tZ� 8sts��8�t� }�B{�RR� q�BIB�B%${ wd�MMD �$%�R s

R$8}j� �-s8}j� Bt �Y� $t����s�$Bt BP 3V_ stI R{Y�IZj� }jstt$t�� yt Y$R �-s8}j�� s$�{�sP� s��

sRR$�t�I �B �Y� t��bB�, {BtR$I��$t� 4$�Y� P��JZ�t{$�R� bY��� �Y� B}��s�$t� {BR� $R 8Zj�$}j$�I

Ak �Y� 4$�Y� P��JZ�t{k A��b��t �bB R�s�$BtR 4Bbt Ak �Y� Rs8� s$�{�sP� �k}� �B {B8}Z��

�Y� �B�sj Is$jk {BR�� Ns���� s$�{�sP� ��tI �B A� sRR$�t�I �B R8sjj�� P��JZ�t{k stI jBt���

I$R�st{� 4$�Y�R� 78sjj�� s$�{�sP� Ys%� jBb�� B}��s�$t� {BR�R� AZ� �Y$R {st A� {B8}�tRs��I

$P �Y� 4$�Y� P��JZ�t{k $R Y$�Y�

yt ��{�t� k�s�R� $tR��sI BP �Y� ��sI$�$Btsj s}}�Bs{Y BP RBj%$t� I$&���t� {B8}Bt�t�R BP �Y�

s$�j$t� R{Y�IZj$t� }�BAj�8R R�}s�s��jk� ��R�s�{Y��R Ys%� R�s���I PB{ZR$t� Bt st $t����s��I

s}}�Bs{Y PB� RBj%$t� �Y� �t�$�� R{Y�IZj$t� }�BAj�8�

p$%�t s 4��� sRR$�t8�t� PB� s R$t�j� s$�{�sP� �k}�� s$�{�sP� BP �Y$R �k}� {st A� �BZ��I

�B I$&���t� R�j�{�$BtR BP 4$�Y�R� 7�s�{Y$t� PB� s P�sR$Aj� s$�{�sP� �BZ�$t� b$�Y �Y� 8$t$8sj

Page 26: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

dE

{BR� $R �Y� BA`�{�$%� BP s$�{�sP� �BZ�$t� }�BAj�8� =tI�� �Y� ��sI$�$Btsj s}}�Bs{Y� s �BZ�$t�

}�BAj�8 $R RBj%�I PB� $tI$%$IZsj s$�{�sP� �k}�R sP��� �Y� 3V_� qY� jB{sj B}�$8$9s�$BtR PB�

sjj �Y� �k}�R 8sk tB� j�sI �B s �jBAsj B}�$8$9s�$Bt PB� �Y� �t�$�� 4��� $t �Y� s$�j$t�� yt

sII$�$Bt� ��R��${��I b$�Y$t s R$t�j� �k}�� $tP�sR$A$j$�k $R 8B�� j$,�jk �B B{{Z� sR s ��RZj� BP

j�RR {YB${�R BP 4$�Y�R� s�tYs�� �� sj� wd��MD }��R�t� s R��$t�TAsR�I �y_ 8BI�j �B RBj%�

�Y� 4��� sRR$�t8�t� }�BAj�8 stI s$�{�sP� �BZ�$t� }�BAj�8 R$8Zj�st�BZRjk PB� �Y� �t�$��

4���� qY�k I�ht� s X0�7z/ sR s R�JZ�t{� BP 4BbTAsjst{� stI 8s$t��tst{� P�sR$Aj� 4$�Y�R

A��b��t 8s$t��tst{� R�s�$BtR� V sZ�8�t��I R��$t� $R s R��$t� �-��tI�I �B $t{jZI� �Y�

8s$t��tst{� �$8� s� �Y� �tI BP �Y� jsR� R�s�$Bt� qY� 8BI�j BA`�{�$%� $R �B sRR$�t s RZAR��

BP �Y�R� sZ�8�t��I R��$t�R �B �Y� s$�{�sP� �k}�R RB �Ys� �Y� {BR� $R 8$t$8$9�I ZtI�� 4Bb

stI {B%�� {BtR��s$t�R� qY� 8BI�j $R RBj%�I ZR$t� s A�st{YTstIT}�${� s}}�Bs{Y� $��� s N_

��js-s�$Bt $R RBj%�I s� �s{Y tBI� BP �Y� A�st{YTstITABZtI ���� ZR$t� {BjZ8t ��t��s�$Bt�

GY�t ��t��s�$t� {BjZ8tR� �Y� }�${$t� RZA}�BAj�8 $R {sR� sR s RYB���R� }s�Y }�BAj�8 B%��

s R}�{$sjjk {BtR��Z{��I t��bB�,� qY$R t��bB�, $R �Y� �$8�TR}s{� t��bB�, b$�Y 8s$t��tst{�

s�{R {s��k$t� 8s$t��tst{� {BR�R� {Btt�{�$Bt s�{R {s��k$t� 4$�Y�T��js��I {BR�R PB� �Y� R�s��$t�

tBI� stI 8s$t��tst{� {Btt�{�$Bt s�{R {s��k$t� 8s$t��tst{� {BR�R stI wt��s�$%�D �Y�BZ�Y

��%�tZ�R� =R$t� �Y� tBI� stI $RjstIR {Bt{�}� Ak <st� �� sj� s RBjZ�$Bt {st A� s{Y$�%�I $t

s�BZtI x YBZ�R� bY${Y $R s{{�}�sAj� PB� s }jstt$t� 8BI�j� �R}�{$sjjk bY�t �Y� 8s$t��tst{�

��JZ$��8�t�R s�� Rs�$Rh�I�

]sB stI 3st w1(((D }�B}BR� s 8BI�j �Ys� $t����s��R �Y� 4$�Y� t��bB�, R{Y�IZj$t� }�BAT

j�8� �Y� 4��� sRR$�t8�t� }�BAj�8� stI �Y� s$�{�sP� �BZ�$t� }�BAj�8� qY�$� 8BI�j $R AsR�I

Bt st $t$�$sj {stI$Is�� t��bB�, stI s R�� BP {stI$Is�� 4$�Y�R� qY�k {BtR$I�� �$8�TI�}�tI�t�

I�8stIR� stI R$8Zj�st�BZRjk I����8$t� �Y� 4$�Y� t��bB�,� �Y� 4��� sRR$�t8�t�� stI �Y�

s$�{�sP� �BZ�$t� I�{$R$BtR� qY�k $t��BIZ{� �Y� $I�s BP s q$8�T��js��I ]stI$Is�� 3j$�Y�

wq]3D� bY${Y $R s {stI$Is�� 4$�Y� sRRB{$s��I b$�Y s {���s$t �$8� RjB�� qY� }�BAj�8 $R �B

sRR$�t �s{Y s$�{�sP� �B st s}}�B}�$s�� q]3 RB �Ys� �Y� �B�sj }�Bh� {st A� 8s-$8$9�I� qY�k

{BtR$I�� 8s$t��tst{� sR s �$8�Tb$tIBb PB� �Y� s$�{�sP�� WB q]3 {st A� sRR$�t�I �B �Y$R

�$8�Tb$tIBb R$t{� tB 4$�Y� {st A� 4Bbt Ak st s$�{�sP� ZtI�� 8s$t��tst{��

Page 27: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d�

i�-$t� �� sj� w1(((D {��s�$%�jk s}}jk �$8�Tb$tIBbR �B �Y� 3V_ RB sR �B $t����s�� 4���

sRR$�t8�t� b$�Y �Y� {Bth�Z�s�$Bt BP �Y� ZtI��jk$t� 4$�Y� t��bB�,� VjjBb$t� 4$�Y� I�}s�T

�Z�� �$8�R �B %s�k b$�Y$t s R8sjj �$8�Tb$tIBb ��js-�R �$8� {BtR��s$t�R� stI }�B%$I�R 8B��

{YB${�R BP sRR$�t$t� s$�{�sP� �B 4$�Y�R� stI �YZR 8$�Y� $8}�B%� �Y� 4��� sRR$�t8�t� RBjZT

�$Bt� WB� RZ�}�$R$t�jk� �Y� }�BAj�8 R$9� ��BbR sjBt� b$�Y �Y$R sII�I 4�-$A$j$�k� qY� sZ�YB�R

}�B}BR� %s�$BZR s}}�Bs{Y�R �B ��IZ{� �Y� }�BAj�8 R$9��

yt sjj �Y�R� }�B}BR�I 4��� sRR$�t8�t� 8BI�jR� ��%�tZ� $R {sj{Zjs��I� $P s� sjj� ZR$t� �Y�

s%��s�� I�8stI s�����s��I B%�� �Y� }jstt$t� YB�$9Bt� b$�Y j$��j� $tPB�8s�$Bt Bt I�8stI

I$R��$AZ�$BtR� ]BtR�JZ�t�jk� st $8}�B%�8�t� �B �Y� 8BI�j {BZjI A� s{Y$�%�I �Y�BZ�Y �Y�

Z�$j$9s�$Bt BP I�8stI I$R��$AZ�$BtR stI s 8B�� s{{Z�s�� stI I��s$j�I I�8stI PB��{sR��

bY${Y $R s{JZ$��I sR �Y� s$�{�sP� I�}s��Z�� �$8� I�sbR t�s��

qYZR� s ��T4���$t�� AsR�I Bt �Y� sII�I $tPB�8s�$Bt �Ys� �Y�R� 4��� sRR$�t8�t� 8BI�jR

js{,� {BZjI }�B%$I� R$�t$h{st� A�t�h�R �B �Y� s$�j$t�� qY� t�-� R�{�$Bt }�B%$I�R s A�$�P

RZ88s�k BP �Y� j$���s�Z�� Bt ��T4���$t� ��js��I }�BAj�8R�

1�n i�T4���$t� _�BAj�8

i�R�s�{Y $t �Y� ��T4���$t� s��s $R ��js�$%�jk t�b� stI Y�t{�� $R %��k j$8$��I� ���� stI

<B}}��R�sI wd��nD s�� Bt� BP �Y� h�R� ��R�s�{Y��R bYB }�B}BR�I �Y$R A��s,T�Y�BZ�Y $I�s BP

��%$R$t� 4��� sRR$�t8�t�R B%�� �$8� PB� �s{Y s$�{�sP� Ps8$jk� qY�k }�B}BR�I �Y� {Bt{�}� BP

*�8stI *�$%�t *$R}s�{Y w;�

D� bY${Y $R �B Ikts8${sjjk {Yst�� s$�{�sP� �k}� sRR$�t8�t�R

sR �Y� 4$�Y� I�}s��Z�� �$8�R s}}�Bs{Y stI PB��{sR�R $8}�B%�� qY�k ��R��${� �Y� {Yst�� BP

sRR$�t8�t� �B Bt� s$�{�sP� Ps8$jk IZ� �B �Y� t��I �B }��R��%� {��b R{Y�IZj�R�

���� stI <B}}��R�sI PB�8Zjs�� �Y� 4��� sRR$�t8�t� }�BAj�8 sR s 8Zj�$T{B88BI$�k

t��bB�, 4Bb }�BAj�8� qY$R� YBb�%��� {BtRZ8�R }�BY$A$�$%� {B8}Z�s�$Btsj �&B��� Vj���tsT

�$%�jk� �bB Y�Z�$R�${R s�� }�B}BR�I �B k$�jI s 8B�� �^{$�t� }��PB�8st{�� qY� 7�JZ�t�$sj

�$t$8Z8 ]BR� 3jBb ���YBI w7�]3D RBj%�R s R�JZ�t{� BP �bBT�k}� sRR$�t8�t� }�BAj�8R

AsR�I Bt �Y� BAR��%s�$Bt �Ys� s 4��� sRR$�t8�t� }�BAj�8 b$�Y Btjk �bB �k}�R {st A� ��T

IZ{�I �B s R$t�j� {B88BI$�k 8$t$8Z8 {BR� t��bB�, 4Bb }�BAj�8� qY$R $R IBt� Ak sRR$�t$t�

Page 28: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

dM

sjj 4$�Y�R �B Bt� s$�{�sP� �k}� h�R�� stI �Y�t RBj%$t� s 8$t$8Z8 {BR� t��bB�, 4Bb }�BAj�8

Ak R���$t� �Y� BA`�{�$%� PZt{�$Bt �B A� �Y� I$&���t{� $t }�Bh�R bY�t �Y� 4$�Y� $R sRR$�t�I

�B �Y� B�Y�� �k}�� 3B� 8B�� �Yst �bB s$�{�sP� �k}�R� s 8$t$8Z8 {BR� t��bB�, 4Bb }�BAj�8

PB� �bB �k}�R $R RBj%�I s� �s{Y $���s�$Bt� Ak R�}s�s�$t� Bt� s$�{�sP� �k}� P�B8 B�Y�� �k}�R�

stI s�����s�$t� sjj B�Y�� �k}�R �B PB�8 �Y� R�{BtI �k}�� V R��$�R BP s�����s��I �bBT�k}�

sRR$�t8�t� }�BAj�8R s�� RBj%�I Zt�$j sjj �Y� �k}�R s�� sRR$�t�I� qY� sZ�YB�R RZ���R� s����T

�s�$t� s$�{�sP� �k}�R AsR�I Bt s RB���I B�I�� BP �Y�$� {s}s{$�$�R� qY� R�{BtI 8��YBI� �Y�

*�j�s _�Bh� ���YBI w*eN_i!D� R�s��R b$�Y s P�sR$Aj� RBjZ�$Bt �B �Y� 4��� sRR$�t8�t�� stI

htIR }�Bh�sAj� Rbs}R PB� �bB s$�{�sP� �k}�R s� s �$8�� qY$R $R IBt� Ak ZR$t� s jBt��R� }s�Y

sj�B�$�Y8� yt �Y�$� {B8}Z�s�$Btsj �-}��$8�t�R� �Y� sZ�YB�R ��js- �Y� $t����sj$�k {BtR��s$t�R

BP �Y� 8Zj�$T{B88BI$�k t��bB�, 4Bb }�BAj�8 stI RBj%� �Y� {B���R}BtI$t� N$t�s� _�B��s8

wN_D� Vjj N_ RBjZ�$BtR �Z�t�I BZ� �B A� $t����sj� �YZR k$�jI$t� B}�$8sj RBjZ�$BtR� qY�R�

B}�$8sj RBjZ�$BtR b��� �Y�t {B8}s��I b$�Y �Y� Y�Z�$R�${ RBjZ�$BtR BA�s$t�I Ak *eN_i!

stI 7�]3� *eN_i! stI 7�]3 ��R}�{�$%�jk s��s$t�I st s{{Z�s{k BP $t �-{�RR BP ����0

stI �����0 BP B}�$8sj$�k� �B�� $8}B��st�jk� �Y�R� sj�B�$�Y8R b��� PBZtI �B A� RZ^{$�t�jk

�^{$�t� PB� �Y� 8BI�j �B A� RBj%�I P��JZ�t�jk w}�BAsAjk Is$jkD�

7$t{� �Y� t��bB�, 4Bb }�BAj�8 $R I����8$t$R�${ stI tB �stIB8t�RR $t I�8stI $R {BtR$IT

���I� �Y� ��%�tZ� {B���R}BtI$t� �B s �$%�t 4��� sRR$�t8�t� $R I����8$t�I �Y�BZ�Y �Y� ZR�

BP s R$8Zjs�$Bt 8BI�j� bY${Y ��t��s��R {ZR�B8�� I�8stIR AsR�I Bt s PB��{sR��I I�8stI

I$R��$AZ�$Bt� 3$�Z�� n �-Y$A$�R YBb �Y� B}�$8$9s�$Bt stI R$8Zjs�$Bt s�� $t����s��I $t �Y�$�

s}}�Bs{Y�

VR s ��RZj� BP �Y$R R$8Zjs�$Bt 8BI�j� jBsIR� R}$jj stI I�t$�I ABs�I$t� {st A� }��I${��I�

qYZR� �Y� ��%�tZ� {B���R}BtI$t� �B �Y� �$%�t 4���$t� I�{$R$Bt $R I����8$t�I {BtR$I��$t�

I�8stI R�B{YsR�${$�k� stI �Y$R $tPB�8s�$Bt $R P�I As{, �B �Y� s$�}jst� sRR$�t��� qY$R ��T

sRR$�t8�t�� R$8Zjs�$Bt� stI ABB,$t� }��I${�B� stI }�Bh� �R�$8s�$Bt }�B{�RR $R ��}�s��I

{Bt�$tZBZRjk Zt�$j �Y� I�}s��Z�� �$8� $R $88$t�t�� stI �Y� htsj sRR$�t8�t� $R I����8$t�I�

7�� 3$�Z�� n PB� �Y$R $t����s��I 8BI�j� qY� {sR� R�ZI$�R }��PB�8�I RYBb�I s dTx0 $8}�B%�T

8�t� $t B}��s�$t� }�Bh� P�B8 �Y� s}}j${s�$Bt BP ;�

� qY$R $R IZ� �B R}$jj s%B$Ist{� stI s

Page 29: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d�

Solve the fleet assignment problem using a heuristic. (Maximize profit assuming deterministic demand.)

Simulate the performance (loads, spill, etc.) of the new assignment based on forecasted demand distributions.

New assignment

Simulation Optimization

Modified profit in the fleet assignment problem objective function

3$�Z�� nU yt����s�$Bt BP 7$8Zjs�$Bt stI !}�$8$9s�$Bt $t �Y� ;�

�BI�j�

��IZ{�I tZ8A�� BP js���� s$�}jst�R ZR�I�

qB BZ� ,tBbj�I��� �Y��� $R tB 8s`B� =7 s$�j$t� �Ys� $R $8}j�8�t�$t� �Y� {Bt{�}� BP

*�8stI *�$%�t *$R}s�{Y �B $�R PZjj �-��t�� <Bb�%��� R�%��sj s$�j$t�R s�� $t �Y� }�B{�RR

BP �%sjZs�$t� �Y� A�t�h�R BP s ;�

�k}� BP s}}�Bs{Y� Vt �-s8}j� $R ]Bt�$t�t�sj V$�j$t�R

w_sR�B�� d���D� bY${Y YsR }��PB�8�I j$8$��I �-}��$8�t�R �B ��R� �Y� A�t�h�R BP �Y� ;�

{Bt{�}�� Ak {BtR$I��$t� �bB �k}�R BP Rbs}RU E( *q* w*skR �B *�}s��Z��D Rbs}R� stI d;

*q* Rbs}R� qY� PB�8�� $t%Bj%�R I$&���t� Ps8$j$�R stI �YZR� 8$�Y� ��JZ$�� �Y� {��b R{Y�IZj�

�B A� {Yst��I� bY$j� �Y� js���� $R {Btht�I b$�Y$t Bt� Ps8$jk� AZ� $R AsR�I Bt $8}�B%�I

Page 30: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1(

PB��{sR�R A�$t� s%s$jsAj� sR 4$�Y� I�}s��Z��R t�s�� k {BtR$I��$t� Btjk �Y� �-}�{��I ��%�tZ�

�s$t� B{{sR$Btsjjk %��k }BB� Rbs}R {BZjI ��RZj� A�{sZR� BP I�8stI R�B{YsR�${$�k� qB s%B$I

�Y� t��s�$%� $8}s{� BP RZ{Y ZtRZ{{�RRPZj Rbs}R� s �Bt�� ]s�jB 7$8Zjs�$Bt $R ZR�I �B }��PB�8

s �$R, stsjkR$R RB �Ys� s I$R��$AZ�$Bt BP ��%�tZ� �s$tR PB� �Y� Rbs} $R BA�s$t�I� G$�Y

I��s$j�I $tPB�8s�$Bt Bt �Y� s%��s��� %s�$s�$Bt� 8$t$8Z8� stI 8s-$8Z8 ��%�tZ� �s$tR

��RZj�$t� P�B8 s Rbs}� �B���Y�� b$�Y �Y� }��{�t� BP ��$sjR �Ys� k$�jI }BR$�$%� ��%�tZ� �s$tR�

sR b�jj sR �Y� }��{�t� �Ys� 8��� �Y� 8$t$8Z8 ��%�tZ� �Bsj� s A����� ZtI��R�stI$t� BP

�Y� }B��t�$sj A�t�h�R $R s{Y$�%�I� sR�I Bt �Y$R $tPB�8s�$Bt� Btjk Rbs}R �Ys� 8��� �Y�

8$t$8Z8 ��%�tZ� �Bsj $t M(0 BP �Y� ��$sjR s�� }��PB�8�I� e-}��$8�t�sj ��RZj�R $tI${s��

�Ys� RZ{Y s �$R, stsjkR$R $8}�B%�R �Y� s{�Zsj ��%�tZ� �s$t Ak M0� stI ���s�jk ��IZ{�R �Y�

tZ8A�� BP Zt}�Bh�sAj� Rbs}R }��PB�8�I�

qsjjZ�$ wd��ED $8}�B%�R ���� stI <B}}��R�sI:R Rbs}}$t� sj�B�$�Y8 Ak ��IZ{$t� $�R �Zt

�$8�� <$R sj�B�$�Y8 �Zs�st���R htI$t� s Rs8�TIsk Rbs} B}}B��Zt$�k $P Bt� �-$R�R� bY${Y

8sk $t%Bj%� 8Zj�$}j� s$�{�sP� Rbs}}$t�R stI 8Zj�$}j� R�s�$BtR� <Bb�%��� qsjjZ�$:R sj�B�$�Y8

$R j$8$��I �B �bB s$�{�sP� �k}�R Btjk� qY$R sj�B�$�Y8 $R AsR�I Bt s R��$�R BP RYB���R�T}s�Y

sj�B�$�Y8R� stI {st s{{B88BIs�� �Y�BZ�Y 4$�Y�R� qsjjZ�$ PZ��Y�� RZ���R�R Y�Z�$R�${R �B

sII��RR �Y� $RRZ�R BP I$&���t� ��BZtI �$8�R�

Fs��sY �0 yq3 w1(((D 8BI�j �Y� ��T4���$t� }�BAj�8 sR s 8Zj�${B88BI$�k $t����� t��bB�,

4Bb }�BAj�8� b$�Y R$I� {BtR��s$t�R bY${Y� I$&���t� P�B8 qsjjZ�$:R s}}�Bs{Y wd��ED� $R s}T

}j${sAj� �B 8Zj�$}j� s$�{�sP� �k}�R stI ��t��s��R s R}�{$h�I tZ8A�� BP s{{�}�sAj� RBjZ�$BtR�

qY�$� AsR${ 8BI�j $R R$8$js� �B �Y� j��TAsR�I 3V�� {B88Btjk ZR�I $t j$���s�Z�� sR I$R{ZRR�I

$t �Y� }��%$BZR R�{�$Bt� b$�Y tBI� Asjst{$t� {BtR��s$t�R� 4$�Y� j�� {B%��$t� {BtR��s$t�R� stI

s$�{�sP� s%s$jsA$j$�k {BtR��s$t�R� qY�k sjRB $t{jZI� {BtR��s$t�R $t �Y� PB�8Zjs�$Bt �B }js{�

s ZR��TR}�{$h�I j$8$� Bt �Y� tZ8A�� BP 4��� �k}� {Yst��R� yt sII$�$Bt� R$I� {BtR��s$t�R PB�

8s$t��tst{�� {��b R�s^t�� stI tB$R� ��R��${�$BtR s�� sII�I PB� RBjZ�$Bt P�sR$A$j$�k� V�BZtI

�Y$R 8BI�j� �Y� sZ�YB�R }�B}BR� h%� 8BIZj�R PB� I$&���t� s}}j${s�$BtR� qY�R� 8BIZj�R s��

}�$8s�$jk �s�����I s� Zt�-}�{��I {Yst��R �B �Y� 3V�� AZ� tBt� BP �Y� 8BIZj�R I$��{�jk

Page 31: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1d

sII��RR�R A����� I�8stI PB��{sR�$t�� es{Y 8BIZj� ��RBj%�R �Y� 3V� b$�Y s Rj$�Y� 8BI$hT

{s�$Bt Bt �Y� {BtR��s$t�R� qY� _B}}$t� �BIZj� sjjBbR s ZR��TR}�{$h�I tZ8A�� BP s$�{�sP�

s�� �B A� ��8B%�I P�B8 �Y� R{Y�IZj� w���� PB� 8s$t��tst{�D� qY� ]Yst��TBPTpsZ�� �BIZj�

$R ZR�I bY�t s {���s$t tZ8A�� BP s$�{�sP� $R �B A� ��IZ{�I PB� Bt� 4��� �k}� stI $t{��sR�I

PB� stB�Y��� qY$R {st A� s ��RZj� BP 8$RR �R�$8s�$Bt BP s$�{�sP� s%s$jsA$j$�k $t �Y� R{Y�IZj�

}��$BI� qY� 7bs}}$t� �BIZj� $R $I�t�${sj �B �Y� 3V� �-{�}� PB� s j$8$� Bt �Y� tZ8A��

BP sjjBbsAj� Rbs}R PB� s ZR��TR}�{$h�I 4��� �k}�R� qY�R� h�R� �Y��� 8BIZj�R 8BI$Pk �Y�

{B%�� {BtR��s$t�R BP �Y� 3V�� qY� =�$j$9s�$Bt �BIZj� {Yst��R �Y� �B�sj sRR$�t8�t� �$8�

A��b��t �bB ��BZ}R BP s$�{�sP� �k}�R� Vt �-s8}j� s}}j${s�$Bt BP �Y$R 8BIZj� $R bY�t �Y�

{��b R�s^t� j�%�j $R %$Bjs��I Ak s }s��${Zjs� s$�{�sP� �k}�:R 4$�Y� sRR$�t8�t�R� qY� sjst{T

$t� �BIZj� Asjst{�R �Y� R{Y�IZj� sP��� RB8� 4��� sRR$�t8�t�R s�� {Yst��I Ak �Y� ZR��R� V

}��T}�B{�RR$t� R�s�� $R Z�$j$9�I �B I���{� $tP�sR$A$j$�$�R $t �Y� 8BI�j A�PB�� �Y� B}�$8$9s�$Bt

}YsR�� qY� BA`�{�$%� BP �Y� 8BI�j $R tB� �B ��t��s�� Bt� B}�$8sj RBjZ�$Bt� AZ� R�%��sj

sj���ts�$%� t�s�TB}�$8sj RBjZ�$BtR �B sjjBb �Y� ZR�� {YBBR� �Y� 8BR� "s}}�B}�$s��" RBjZ�$Bt

P�B8 st B}��s�$Bt:R }��R}�{�$%�� qY� 8$-�I $t����� }�B��s8 $R RBj%�I ZR$t� s I�}�YTh�R�

A�st{YTstITABZtI s}}�Bs{Y �s,$t� �Y� sI%st�s�� BP PZt{�$Bt {sjjR $t �Y� ]_Ne�:R 8s�Y�T

8s�${sj B}�$8$9s�$Bt RZA�BZ�$t� j$A�s�k� GY�t Bt� �BBI RBjZ�$Bt $R s{Y$�%�I� s {Z� $R sII�I

�B �j$8$ts�� �Y$R RBjZ�$Bt stI �tRZ�� �Ys� �Y� t�b RBjZ�$Bt {Bt�s$tR s R��${� RZAR�� BP �Y�

sj��sIk BA�s$t�I RBjZ�$Bt� ]B8}Z�s�$Btsj �-}��$8�t�R PB� ��sj$R�${ }�BAj�8 R$9�R RZ���R�

�Ys� 8Zj�$}j� s{{�}�sAj� RBjZ�$BtR {st A� ��t��s��I $t �k}${sjjk j�RR �Yst h%� 8$tZ��R sR s

��RZj� BP �&�{�$%� }��}�B{�RR$t� stI RBjZ�$Bt ��{Yt$JZ�R�

1�; 7�B{YsR�${ !}�$8$9s�$Bt V}}�Bs{Y�R

qY� }�$8s�k I$^{Zj�k $t ��T4���$t�� sR $t 8BR� ��sj j$P� }�BAj�8R� $R �Y� Zt{���s$t�k� yt

**i� �Y� tZ8A�� BP }B��t�$sj {ZR�B8��R $R Y$�Yjk Zt{���s$t� qY� R�B{YsR�${ sR}�{� BP

}sRR�t��� I�8stI {BtR$I��sAjk Y$tI��R st B}�$8Z8 RBjZ�$Bt �B �Y� R{Y�IZj$t� }�BAj�8�

qYZR� $� $R Y$�Yjk I�R$�sAj� �B 8s,� ZR� BP st B}�$8$9s�$Bt s}}�Bs{Y �Ys� �-}j${$�jk {BtR$I��R

�Y$R R�B{YsR�${$�k� �jBb� b� }�B%$I� st B%��%$�b BP �Y� I$&���t� s}}�Bs{Y�R �Ys� {st A�

Page 32: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

11

ZR�I PB� R�B{YsR�${ B}�$8$9s�$Bt� Vj�YBZ�Y �Y�R� R�B{YsR�${ B}�$8$9s�$Bt s}}�Bs{Y�R s��

tB� sIB}��I $t �Y$R �Y�R$R� �Y�k s�� �BBI sj���ts�$%�R PB� {BtIZ{�$t� PZ�Z�� ��R�s�{Y�

1�;�d ���sT<�Z�$R�${R

���sTY�Z�$R�${ $R s ��t��sj P�s8�bB�, PB� Y�Z�$R�${R $t RBj%$t� �jBAsj B}�$8$9s�$Bt }�BAj�8R�

tB�sAjk {B8A$ts�B�$sj B}�$8$9s�$Bt }�BAj�8R� !t� YZ�Ij� PB� B}�$8$9s�$Bt 8��YBIR $R �B

s%B$I �Y� RBjZ�$Bt P�B8 A�$t� ��s}}�I s� s jB{sj B}�$8Z8� 7B8� 8��sTY�Z�$R�${R� RZ{Y sR

7$8Zjs��I Vtt�sj$t� stI qsAZ 7�s�{Y� Ys%� }�B%�t �B A� �&�{�$%� $t �R{s}$t� P�B8 jB{sj

B}�$8s�

7$8Zjs��I stt�sj$t� w7VD bsR I��$%�I P�B8 R�s�$R�${sj 8�{Yst${R sR st stsjB�k �B �Y�

bsk s {�kR�sjj$t� RBj$I }��PB�8R s� �Y� j$8$� BP s jBb ��8}��s�Z�� bY�t sjjBb�I �B {BBj

RjBbjk w�Y� stt�sj$t� }�B{�RRD $t�B s 8$t$8Z8 �t���k {�kR�sjj$t� R��Z{�Z�� w�$�,}s��${, ��

sj�� d�MnD�

qY� 7V sj�B�$�Y8 s%B$IR A�$t� ��s}}�I $t s jB{sj B}�$8Z8 Ak s{{�}�$t� s P�s{�$Bt

BP tBtT$8}�B%$t� RBjZ�$BtR� y� ��t��s��R t�$�YAB� RBjZ�$BtR PB� �Y� {Z���t� RBjZ�$Bt� yP s

t�$�YAB� $8}�B%�R �Y� PZt{�$Bt %sjZ�� �Y� {Z���t� RBjZ�$Bt $R �Y�t ��}js{�I� !�Y��b$R�� �Y�

t�$�YAB� $R s{{�}��I b$�Y s {���s$t }�BAsA$j$�k� BP��t �Y� }s�s8���� B� PZt{�$Bt ZR�I PBjjBbR

st �-}Bt�t�$sj I�{sk� qY$R }�B{�RR $R ��}�s��I Zt�$j �Y� ���8$ts�$Bt {�$���$Bt $R Rs�$Rh�I�

stI �Y� htsj RBjZ�$Bt }��R{�$A�I $R �Y� A�R� jB{sj B}�$8Z8 I���{��I $t �Y$R }�B{�RR�

7�j�{� $t$�$sj RBjZ�$Bt ? � �

yt$�$sj$9� x k (� ��8}��s�Z�� {BZt��� 0 ) (�

*!

3!i z ) d �B ]w0D *!

p�t��s�� s t�b wt�$�YAB�D RBjZ�$Bt ? � �

& ) Ww? � D � Ww? � D�

y3 & c ( B� �stIB8w(, dD c � �� � �

q<eW

? � ) ? � �

eW* y3

Page 33: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1n

eW* 3!i

0 ) 0 L d�

x ) x w0D�

=WqyN ���8$ts�$Bt {�$���$Bt $R ��Z��

qsAj� 1�;�d V p�t��${ 7V Vj�B�$�Y8�

V R$8}j$h�I }�B{�RR $R �$%�t $t qsAj� 1�;�d we�j�R�� d��(� 78$�Y �� sj�� d��xD� bY���

�Y� BA`�{�$%� $R �B 8$t$8$9� PZt{�$Bt W � qY� }�BAsA$j$�k BP s{{�}�$t� st $tP��$B� t�$�YAB�

RBjZ�$Bt $R R�� sR � �� � �

� bY��� & $R �Y� I����$B�s�$Bt $t �Y� BA`�{�$%� PZt{�$Bt wst $t{��sR�

PB� s 8$t$8$9s�$Bt }�BAj�8D� stI x $R s {Bt��Bj }s�s8���� �Ys� $R {B8}s�sAj� b$�Y �Y�

��8}��s�Z�� $t }YkR${sj stt�sj$t�� V R8sjj & $8}j$�R �Ys� �Y� t�b RBjZ�$Bt $R tB� s R$�T

t$h{st� I����$B�s�$Bt P�B8 �Y� {Z���t� Bt� stI $R 8B�� j$,�jk �B A� s{{�}��I� V Y$�Y x

%sjZ� sjRB �$%�R s Y$�Y }BRR$A$j$�k PB� �Y� RBjZ�$Bt �B A� s{{�}��I� qY� sj�B�$�Y8 R�s��R b$�Y

s ��js�$%�jk js��� x %sjZ� �B s%B$I A�$t� }��8s�Z��jk ��s}}�I $t s jB{sj B}�$8Z8� qY$R

x %sjZ� $R ��sIZsjjk I�{��sR�I� PBjjBb$t� RB8� PZt{�$Bt x w0D� qY� $t$�$sj %sjZ� BP x � �Y�

PZt{�$Bt x w0D� sR b�jj sR �Y� tZ8A�� BP $���s�$BtR s� �s{Y ��8}��s�Z��� ]w0D� s�� RB8� AsR${

{YB${�R PB� 7V sj�B�$�Y8 ZR��R we�j�R�� d��(D�

1�;�1 iBAZR� !}�$8$9s�$Bt

iBAZR� !}�$8$9s�$Bt wi!D $R st s}}�Bs{Y �Ys� s���8}�R �B ��IZ{� �Y� $8}s{� BP tB$R��

���B�R� stI $t{B8}j��� Is�s Bt RBjZ�$BtR� Ak {BtR$I��$t� Zt{���s$t�k $t �Y� PB�8Zjs�$Bt�

bY$j� sjjBb$t� $tP�sR$Aj� RBjZ�$BtR� b$�Y s }�tsj�k� qYZR� $t sII$�$Bt �B I�{$R$Bt %s�$sAj�R�

$� $t{jZI�R {Bt��Bj %s�$sAj�R RB sR �B ��4�{� �Y� Zt{���s$t�k� sR b�jj sR s R�� BP ���B� %s�$sAj�R

�B 8�sRZ�� �Y� $tP�sR$A$j$�k� �Zj%�k stI zstI��A�$ wd��xD }�B%$I� s I��s$j�I $t��BIZ{�$Bt

stI RB8� �-s8}j� s}}j${s�$BtR BP �Y$R 8��YBI� qY�k PB�8Zjs�� �Y� i! 8BI�j sR PBjjBbRU

-7z7E7F� �w?, r � , 3 3 3 , r � D L �'wF � , 3 3 3 , F � D

Page 34: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1;

X`Ki��0 0L

\? ) K

4 � ? L g � r � L F � ) � � , � X ; �

? � (, r � � (, � X ; �

bY��� � ) \d, 3 3 3 , Ci $R s R�� BP R{�ts�$BR� ? ��}��R�t�R �Y� }�$8s�k h�R�TR�s�� I�{$R$BtR�

stI r � stI F � ��R}�{�$%�jk I�tB�� �Y� {Bt��Bj B� ��{BZ�R� %s�$sAj�R stI �Y� ���B� %s�$sAj�R

{B���R}BtI$t� �B R{�ts�$B X ; �� es{Y R{�ts�$B X ; � $R sRRB{$s��I b$�Y �Y� R�� \4 � , g � , � � i

BP ��sj$9s�$BtR BP �Y� {B�^{$�t�R� stI �Y� }�BAsA$j$�k BP R{�ts�$B X B{{Z��$t� $R � � � b$�Y

�� � � � � ) d�

qY� h�R� ���8 $t �Y� BA`�{�$%� PZt{�$Bt $R {sjj�I �Y� RBjZ�$Bt �BAZR�t�RR ���8� y� �s,�R

�Y� %sjZ� BP �w?, r � D bY�t r �JZsjR r � � b$�Y }�BAsA$j$�k � � � stI {st A� ZR�I �B 8BI�j

�$R,� qY� sZ�YB�R RZ���R� �bB s}}�Bs{Y�R PB� 8BI�j$t� �$R,U �Y� 8�st\%s�$st{� 8BI�jR BP

�s�,Bb$�9 wd��dD stI �Y� Z�$j$�k 8BI�jR BP %Bt W�Z8sttT�B���tR���t wd�xnD� Vt �-s8T

}j� PB� �Y� PB�8�� s}}�Bs{Y $R �B Ys%� �Y� 8�st }jZR s {BtR�st� �$8�R �Y� %s�$st{� sR �Y�

8BI�j �BAZR�t�RR ���8� bY��� �Y� 8�st $R �Y� �-}�{��I BA`�{�$%� PZt{�$Bt %sjZ� B%�� sjj

�Y� R{�ts�$BR� stI R$8$js�jk� �Y� %s�$st{� $R {B8}Z��I B%�� sjj �Y� R{�ts�$BR PB� �Y� BA`�{�$%�

PZt{�$Bt %sjZ�� qY� Z�$j$�k 8BI�jR }��8$� ZR��R �B sRR$�t s Z�$j$�k wb�$�Y�D �B �Y� BZ�{B8�

BP �s{Y R{�ts�$B� qYZR� �Y$R 8BI�j {st Z�$j$9� s {Bt{s%� Z�$j$�k PZt{�$Bt sR �Y� RBjZ�$Bt

�BAZR�t�RR ���8� ]B8}s��I �B �Y� 8�st\%s�$st{� 8BI�jR �Ys� ZR� �Y� BA`�{�$%� }�BAsA$j$T

�$�R sR }s�s8����R� �Y� Z�$j$�k 8BI�jR s�� 8B�� RZA`�{�$%� stI ��4�{� �Y� ZR��R: }��P���t{�R�

qY� 8�st\%s�$st{� 8BI�jR ��JZ$�� Rk88���k PB� �Y� I$R��$AZ�$Bt BP �Y� R{�ts�$B� bY$j� �Y�

Z�$j$�k 8BI�jR s�� 8B�� ��t��sj�

qY� R�{BtI ���8 $t �Y� BA`�{�$%� PZt{�$Bt $R s P�sR$A$j$�k }�tsj�k PZt{�$Bt stI $R {sjj�I

�Y� 8BI�j �BAZR�t�RR ���8� =tj$,� 7�B{YsR�${ N$t�s� _�B��s88$t� w7N_D� bY${Y ��JZ$��R

P�sR$A$j$�k PB� sjj R{�ts�$BR� i! sjjBbR $tP�sR$A$j$�$�R PB� �Y� %s�$BZR R{�ts�$BR� AZ� s� s

}�tsj�k�

]j�s�jk� �Y� h�R� ���8 stI �Y� R�{BtI ���8 PB�8 s ��sI�B& A��b��t 8BI�j �BAZR�t�RR

w8B�� �8}YsR$R Bt P�sR$A$j$�k stI j�RR Bt B}�$8sj$�kD stI RBjZ�$Bt �BAZR�t�RR w8B�� �8}YsR$R

Page 35: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1x

Bt B}�$8sj$�k stI j�RR Bt P�sR$A$j$�kD� qY$R ��sI�B& $R {Bt��Bjj�I Ak �Y� }s�s8���� �� bY${Y

{st A� sI`ZR��I s{{B�I$t� �B �Y� �$R, s��$�ZI� BP �Y� I�{$R$Bt 8s,���

i! $R I$&���t� P�B8 R�tR$�$%$�k stsjkR$R� sR �Y� js���� $R s }BR�TB}�$8sj$�k R�ZIk� }�BT

%$I$t� Btjk 8�sRZ��R� AZ� tB }��%�t�$BtR B� ��{BZ�R�� �B �Y� R�tR$�$%$�k BP �Y� RBjZ�$Bt�

]B8}s��I �B 7N_� �Y�k s�� AB�Y }��TB}�$8sj$�k stsjkR$R� stI 7N_ $R s R}�{$sj {sR� BP i! $t

�Ys� 7N_ {BtR$I��R Btjk �Y� h�R� 8B8�t� BP �Y� BA`�{�$%� PZt{�$Bt %sjZ�� bY$j� i! {BtR$I��R

Y$�Y�� 8B8�t�R� qY$R ��tI��R �Y� js���� s}}�Bs{Y 8B�� }sRR$%�� AZ� sjRB 8B�� �-}�tR$%�

�B $8}j�8�t�� 3$tsjjk� �Y� sZ�YB�R }B$t� BZ� �Ys� �%�t R�JZ�t�$sj {B8}Z���R s�� ZtsAj� �B

YstIj� �Y� �sR,R PB� 8B�� �Yst s R8sjj tZ8A�� BP R{�ts�$BR�

Page 36: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

]Ys}��� n

�BI�j 3B�8Zjs�$Bt

n�d !Z�j$t�

yt �Y$R {Ys}���� b� }��R�t� s 8BI�j PB�8Zjs�$Bt BP BZ� *�8stI *�$%�t i�T4���$t� w**iD

}�BAj�8� i�{sjj �Ys� �Y� 3j��� VRR$�t8�t� �BI�j w3V�D sRR$�tR s R�� BP 4$�Y� j��R �B �s{Y

s$�{�sP� Ps8$jk� bY��� st s$�{�sP� Ps8$jk ��P��R �B s R�� BP {��b {B8}s�$Aj� s$�{�sP� �k}�R� stI

�s{Y s$�{�sP� �k}� YsR s I$&���t� {s}s{$�k� qY� **i 8BI�j $R� �Y�t� RBj%�I PB� �s{Y Ps8$jk

RB sR �B ��TsRR$�t s$�{�sP� �k}�R BP �Ys� Ps8$jk �B �Y� $t%Bj%�I 4$�Y� j��R� VR �-}js$t�I $t �Y�

}��%$BZR {Ys}���� �Y$R ��R��${�$Bt $R t�{�RRs�k $t B�I�� �B }��R��%� �Y� $t$�$sj {��b R{Y�IZj��

qY� 8B�$%s�$Bt PB� **i $R �B �s,� sI%st�s�� BP st $8}�B%�I I�8stI PB��{sR� �Ys� 8$�Y�

A� BA�s$t�I sR �Y� 4$�Y� I�}s��Z�� �$8�R I�sb t�s�� 7$t{� **i $R RBj%�I PB� �s{Y Ps8$jk

w$tR��sI BP �Y� �t�$�� 4���D� �Y� }�BAj�8 R$9� $R ���s�jk ��IZ{�I� qY$R sjjBbR s 8B�� I��s$j�I

stsjkR$R� sR �-}js$t�I $t �Y$R {Ys}����

Vt s$�j$t�:R RZ}}jk 8sts��8�t� ��P��R �B �Y� s$�j$t�:R sA$j$�k �B 8sts�� $�R RZ}}jk

�Y�BZ�Y 4$�Y� R{Y�IZj$t�� 4���$t�� stI {��b R{Y�IZj$t� I�{$R$BtR� bY���sR I�8stI 8stT

s��8�t� ��P��R �B �Y� s$�j$t�:R sA$j$�k �B 8sts�� $�R I�8stI �Y�BZ�Y ��%�tZ� 8sts��8�t�

stI }�${$t�� qY� 8s$t $I�s A�Y$tI �Y� **i 8BI�j $R �B $t����s�� st s$�j$t�:R RZ}}jk

8sts��8�t� stI I�8stI 8sts��8�t� I�{$R$BtR� bY$j� PB{ZR$t� Bt 4���$t� stI ��%�tZ�

8sts��8�t�� <Bb�%��� $� $R st $8}B��st� PZ�Z�� ��R�s�{Y I$��{�$Bt �B �-��tI �Y� {Bt{�}�R

1E

Page 37: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1�

}�B}BR�I $t �Y$R }�B`�{� �B $t{jZI� B�Y�� {B8}Bt�t�R BP st s$�j$t�:R RZ}}jk stI I�8stI

8sts��8�t� RZ{Y sR 4$�Y� R{Y�IZj$t�� {��b R{Y�IZj$t�� stI }�${$t��

qY$R {Ys}��� $R B��st$9�I sR PBjjBbR� G� h�R� }��R�t�� $t 7�{�$Bt n�1� �Y� ZtI��jk$t�

t��bB�, R��Z{�Z�� BP BZ� 8BI�j� yt 7�{�$Bt n�n� b� $t��BIZ{� �Y� tB�s�$Bt �Ys� b$jj A�

ZR�I �Y�BZ�YBZ� �Y$R �Y�R$R� yt 7�{�$Bt n�;� b� ��%$�b �Y� Xj��TAsR�I" 3V� PB�8Zjs�$Bt

{B88Btjk ZR�I $t �Y� j$���s�Z��� yt 7�{�$Bt n�x� b� PB{ZR Bt }s�YTAsR�I 8BI�jR� 7}�{$h{sjjk�

b� $t��BIZ{� s ��%�tZ� 8sts��8�t� 8BI�j �Ys� YsR A��t ��{�$%$t� 8Z{Y s���t�$Bt $t ��{�t�

��R�s�{Y� yt 7�{�$Bt n�E� b� }��R�t� BZ� }�B}BR�I **i 8BI�jR bY${Y� sR 8�t�$Bt�I sAB%��

s$8 s� $t����s�$t� 4���$t� stI ��%�tZ� 8sts��8�t� I�{$R$BtR�

n�1 s{,��BZtIU W��bB�, 7��Z{�Z��

VR 8�t�$Bt�I $t �Y� }��%$BZR {Ys}���� 3V� $R RBj%�I $t s$�{�sP�T�k}� I��s$j� stI b$�Y

Xs�����s��I 8s$t��tst{� {BtR��s$t�R"� $P 8s$t��tst{� $R $t{jZI�I $t �Y� 8BI�j� 7}�{$h{sjjk�

b� {BtR$I�� s }s��${Zjs� Ps8$jk BP s$�{�sP� sjBt� b$�Y sjj �Y� 4$�Y�R sRR$�t�I �B �Ys� Ps8$jk

$t �Y� 3V�� G� R�� Z} BZ� t��bB�, sR s �$8�TR}s{� t��bB�,� R$8$js� �B �YBR� {B88Btjk

ZR�I $t �Y� j$���s�Z�� wR��� PB� $tR�st{�� i�-$t� �� sj� w1(((DD� yt bYs� PBjjBbR� b� }�B%$I�

I��s$jR Bt �Y$R t��bB�, R��Z{�Z���

yt �Y$R t��bB�,� �Y��� $R s tBI� sRRB{$s��I b$�Y �s{Y �%�t� w4$�Y� s��$%sj B� I�}s��Z�� s� s

R}�{$h{ �$8�D stI �s{Y s$�{�sP� �k}�� qY$R sjjBbR PB� s$�{�sP� �k}� I�}�tI�t� 4$�Y� �$8�R stI

�Z�t �$8�R $t BZ� t��bB�, ��}��R�t�s�$Bt� yP 4$�Y� �$8�R stI �Z�t �$8�R s�� tB� R$�t$h{st�jk

I$&���t� s8Bt� �Y� %s�$BZR s$�{�sP� �k}�R b$�Y$t Bt� Ps8$jk� s {B8}BR$�� t��bB�, {st A�

{BtR��Z{��I PB� �Y� �t�$�� Ps8$jk� yt B�I�� �B Ys%� P�sR$Aj� s$�{�sP� {Btt�{�$BtR� s��$%sj tBI�R

s�� }js{�I s� �s{Y 4$�Y�:R ��sIk �$8�� $tR��sI BP �Y� I�}s��Z�� �$8�� qY��� s�� �Y��� �k}�R

BP s�{RU ��BZtI s�{R� 4$�Y� s�{R� stI B%��t$�Y� s�{R� Vt �-s8}j� t��bB�, PB� s R}�{$h{

s$�{�sP� �k}� b$�Y PBZ� R�s�$BtR ws$�}B��RD stI R$- j��R $R �$%�t $t 3$�Z�� ;� qY� -Ts-$R

I�}${�R �Y� %s�$BZR R�s�$BtR $t%Bj%�I $t �Y� Ps8$jk:R sRR$�t8�t� stI �Y� kTs-$R $tI${s��R

�$8�� qY� RBj$I %���${sj s��BbR s�� ��BZtI s�{R ��}��R�t�$t� s$�{�sP� R�sk$t� s� �Y� Rs8�

R�s�$Bt PB� s }��$BI BP �$8�� qY� ��BZtI s�{R s�� {Btt�{��I Ak 4$�Y� s�{R� bY${Y s�� I$��{��I

Page 38: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1M

Time

Station

Station 4 Station 3 Station 2 Station 1

A

B

G

H

D

C

F

E

I

10:00am

9:00am

12:00pm

11:00am

9:50am

9:00am

12:20pm

12:00pm

12:30pm

J

M

K

L

N

3$�Z�� ;U q$8�TR}s{� W��bB�, 7��Z{�Z�� b$�Y �s$t��tst{� V�{R�

Page 39: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

1�

P�B8 �Y�$� B�$�$t R�s�$Bt �B �Y�$� {B���R}BtI$t� I�R�$ts�$Bt R�s�$Bt� Vt �-s8}j� BP s 4$�Y�

s�{ $R s�{ V wR�� 3$�Z�� ;D� bY${Y ��}��R�t�R �Y� 4$�Y� P�B8 7�s�$Bt d �B 7�s�$Bt 1 b$�Y s

I�}s��Z�� �$8� BP �U((s8 stI s ��sIk �$8� ws��$%sj �$8� }jZR �Z�t �$8�D BP d(U((s8� qY�

B%��t$�Y� s�{R wB� b�s}Ts�BZtI s�{RD s�� R}�{$sj {sR�R BP ��BZtI s�{R� bY${Y �Zs�st��� 4Bb

Asjst{� Ak {Btt�{�$t� �Y� jsR� tBI� w�%�t�D BP �s{Y R�s�$Bt �B �Y� h�R� tBI� s� �Ys� R�s�$Bt�

<�t{�� �Y�k s�� $t{jZI�I $t �Y� R�� BP ��BZtI s�{R $t BZ� PB�8Zjs�$Bt� 3B� �Y� Rs,� BP ��s}Y

R$8}j${$�k� $t �Y� h�Z�� b� Btjk RYBb �Y� B%��t$�Y� s�{ w�Y� jBt� IB���I s�{D PB� 7�s�$Bt d�

yt sII$�$Bt �B �Y�R� XAsR${" �$8�TR}s{� t��bB�, s�{R� b� $t{jZI� 8s$t��tst{� s�{R� ��}T

��R�t��I Ak �Y� RYB�� IB���I s�{R $t BZ� t��bB�,� �B 8BI�j �Y� V stI {Y�{,R� bY${Y s��

R}�{$h�I Ak s X8s$t��tst{� ��JZ$��8�t� j$R�"� VR �-}js$t�I }��%$BZRjk� �s{Y X8s$t��tst{�

��JZ$��8�t�" $t �Y� j$R� R}�{$h�R wdD �Y� {B���R}BtI$t� 8s$t��tst{� R�s�$Bt� w1D �Y� �k}�

stI wnD �Y� tZ8A�� BP s$�{�sP� IZ� PB� �Ys� }s��${Zjs� 8s$t��tst{�� w;D �Y� 8s$t��tst{�

IZ�s�$Bt� stI wxD �Y� 8s$t��tst{� �$8�Tb$tIBb� qY� 8s$t��tst{� �$8�Tb$tIBb R}�{$h�R

�Y� �s�j$�R� R�s��$t� �$8� stI �Y� js��R� {B8}j��$Bt �$8� IZ�$t� bY${Y �Y$R R}�{$h{ 8s$t��T

tst{� s{�$%$�k {st A� }��PB�8�I� ]j�s�jk� �Y� 8s$t��tst{� �$8�Tb$tIBb j�t��Y 8ZR� A� s�

j�sR� sR jBt� sR �Y� ��JZ$��I 8s$t��tst{� IZ�s�$Bt� qY� 8s$t��tst{� s�{R s��� �YZR� s�{R

�Ys� Xj�s%�" stI X���Z�t �B" �Y� Rs8� R�s�$Bt b$�Y$t �Y� {B���R}BtI$t� �$8�Tb$tIBb� b$�Y

IZ�s�$Bt �JZsj �B �Ys� BP �Y� 8s$t��tst{� ��JZ$��8�t�� 3B� �s{Y 8s$t��tst{� ��JZ$��8�t��

b� h�R� sII st s�{ XI�}s��$t�" s� �Y� �s�j$�R� R�s�� �$8�� stI X���Z�t$t�" sP��� �Y� 8s$tT

��tst{� IZ�s�$Bt� qY� s$�{�sP� sj��sIk Bt �Y� ��BZtI s� �Y� �s�j$�R� R�s�� �$8� {st �s,�

�Y$R s�{ PB� 8s$t��tst{�� G� sjRB sII s 8s$t��tst{� s�{ PB� �s{Y 4$�Y� �Ys� s��$%�R sP���

�Y� PB���B$t� �s�j$�R� R�s�� �$8�� AZ� {st {B8}j��� �Y� ��JZ$��I 8s$t��tst{� Ak �Y� js��R�

{B8}j��$Bt �$8�� !AR��%� �Ys� 8s$t��tst{� s�{R PB� s R}�{$h{ 8s$t��tst{� ��JZ$��8�t�

b$jj A� sII�I Btjk �B �Y� tBI� BP �Y� {B���R}BtI$t� s$�{�sP� �k}��

VR st �-s8}j�� {BtR$I��� s�s$t� �Y� t��bB�, �$%�t $t 3$�Z�� ;� bY${Y {B���R}BtIR �B

s R}�{$h{ s$�{�sP� �k}�� stI RZ}}BR� �Ys� b� Ys%� �bB 8s$t��tst{� ��JZ$��8�t�R PB� �Y$R

s$�{�sP� �k}� s� 7�s�$Bt ;U i�JZ$��8�t� d YsR s �$8�Tb$tIBb BP >�U((s8� d1U((}8H� stI

Page 40: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

n(

i�JZ$��8�t� 1� YsR s �$8�Tb$tIBb BP >�U((s8� d1Un(}8H� B�Y ��JZ$��8�t�R Ys%� 8s$t��T

tst{� IZ�s�$BtR BP 1�x YBZ�R� G� h�R� sII �bB 8s$t��tst{� s�{R� s�{ �N PB� i�JZ$��8�t� d

stI s�{ �W PB� i�JZ$��8�t� 1� �Ys� R�s�� s� �Y� �s�j$�R� �$8� }BRR$Aj� w�U((s8 PB� AB�Y ��T

JZ$��8�t�RDU �Y�R� s�� PB� �Y� s$�{�sP� sj��sIk Bt �Y� ��BZtI� W�-�� b� R�s�{Y PB� sjj 4$�Y�R

s��$%$t� s� �Y$R R�s�$Bt sP��� ��((s8 �Ys� {st ZtI���B 8s$t��tst{� stI A� {B8}j���I Ak

�Y� js��R� {B8}j��$Bt �$8� BP �Y� {B���R}BtI$t� 8s$t��tst{� ��JZ$��8�t�� !AR��%� �Ys�

4$�Y� yF Rs�$Rh�R �Y$R {BtI$�$Bt PB� i�JZ$��8�t� 1U $� s��$%�R s� 7�s�$Bt ; s� �Ux(s8� sP���

bY${Y $� {st ZtI���B �Y� 1�x YBZ� 8s$t��tst{�� stI R�$jj {B8}j��� A�PB�� d1Un(}8� $���� s�

d1U1(}8� qYZR� b� sII stB�Y�� 8s$t��tst{� s�{� s�{ F� PB� i�JZ$��8�t� 1� �$�Y� sP���

4$�Y� s�{ yF�

qY� R$9� BP �Y$R t��bB�, {st A� ��IZ{�I �Y�BZ�Y �Y� ��{Yt$JZ�R RZ���R��I Ak Fs��sY

�� sj� wd���D� 3Z��Y��8B��� sR 8�t�$Bt�I sAB%�� $P sjj s$�{�sP� �k}�R Ys%� $I�t�${sj 4$�Y�

stI �Z�t �$8�R� �Y�t �Y�k {st RYs�� tBI�R BP �Y� Rs8� t��bB�,�

G� tBb }��R�t� %s�$BZR 8s�Y�8s�${sj PB�8Zjs�$BtR BP 3V� stI **i AsR�I Bt �Y$R

t��bB�, R��Z{�Z��� 3B� �Y$R }Z�}BR�� $t �Y� t�-� R�{�$Bt b� $t��BIZ{� �Y� tB�s�$Bt �Ys� b$jj

A� ZR�I �Y�BZ�YBZ� �Y$R �Y�R$R�

Page 41: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

nd

n�n WB�s�$Bt

qsAj�R d T n �-}js$tR �Y� tB�s�$Bt ZR�I �Y�BZ�YBZ� �Y$R �Y�R$R�

qsAj� dU 7�� tB�s�$BtU

� U R�� BP s$�{�sP� Ps8$j$�R $t �Y� 4���� $tI�-�I Ak >

x � U R�� BP s$�{�sP� �k}�R $t Ps8$jk >� $tI�-�I Ak 0

x U R�� BP sjj s$�{�sP� �k}�R $t �Y� 4���� bY��� x ) � � � � x �

U � U R�� BP 4$�Y� j��R ws�{RD sRR$�t�I �B Ps8$jk > $t 3V�� $tI�-�I Ak q

U U R�� BP sjj 4$�Y� j��R� bY��� U ) � � � � U �

] � U R�� BP tBI�R $t �k}� 0:R t��bB�,� 0 ; x � $tI�-�I Ak t

t � U R�� BP ��BZtI s�{R $t �k}� 0:R t��bB�,� 0 ; x � $tI�-�I Ak /

5; U R�� BP B�$�$tTI�R�$ts�$Bt }s$�R� $tI�-�I Ak wL, QD

� U R�� BP sjj }s�YR� $tI�-�I Ak 7

�wqD U R�� BP }s�YR �Ys� }sRR �Y�BZ�Y j�� q, q ; U

� � � � U R�� BP }s�YR b$�Y B�$�$t L stI I�R�$ts�$Bt Q, wL, QD ; 5;

g U R�� BP {jsRR�R� $tI�-�I Ak �

gC � U R�� BP s�{R }sRR$t� �Y�BZ�Y s {BZt�$t� �$8� j$t� w����� ns8 e7qD $t

�k}� 0:R t��bB�,� 0 ; x

qY� �Bj� BP �Y� R��R gC � , 0 ; x � $R �B {BZt� �Y� tZ8A�� BP s$�{�sP� BP �s{Y �k}� Ak

RZ88$t� �Y� 4Bb Bt sjj s�{R }sRR$t� �Y�BZ�Y st s�A$��s�$jk {YBR�t �$8� j$t�� V {B88Btjk

ZR�I �$8� j$t� $R ns8 e7q� A�{sZR� Btjk s P�b w��IT�k�D 4$�Y� s�{R }sRR �Y�BZ�Y �Y$R j$t��

stI sjj �Y� ��R� s�� ��BZtI s�{R B� 8s$t��tst{� s�{R�

Page 42: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

n1

qsAj� 1U _s�s8���� tB�s�$BtU

� � � U {BR� BP {B%��$t� j�� q ZR$t� s$�{�sP� �k}� 0, q ; U, 0 ; x

gy� � U {s}s{$�k BP s$�{�sP� �k}� 0, 0 ; x

� U 8�st I�8stI Bt }s�Y 7� 7 ; �

W � U Ps�� }�${� Bt }s�Y 7� 7 ; �

wL � , Q � D U B�$�$t stI I�R�$ts�$Bt BP }s�Y 7, 7 ; �

\ � U tZ8A�� BP s%s$jsAj� s$�{�sP� BP �k}� 0� 0 ; x

KW � � )

T

z

Z

d, $P 4$�Y� q A��$tR s� tBI� z w$t s$�{�sP� �k}� 0:R t��bB�,D�

q ; U, z ; ] � , 0 ; x

�d, $P 4$�Y� q �tIR s� tBI� z w$t s$�{�sP� �k}� 0:R t��bB�,D�

q ; U, z ; ] � , 0 ; x

(, B�Y��b$R�

K/ � � )

T

z

Z

d, $P ��BZtI s�{ / A��$tR s� tBI� z w$t s$�{�sP� �k}� 0:R t��bB�,D�

/ ; t � , z ; ] � , 0 ; x

�d, $P ��BZtI s�{ / �tIR s� tBI� z w$t s$�{�sP� �k}� 0:R t��bB�,D�

/ ; t � , z ; ] � , 0 ; x

(, B�Y��b$R��

yt sII$�$Bt� b� ZR� � B� o>�H �B I�tB�� �Y� �-}�{��I %sjZ� BP �stIB8 %s�$sAj� ��

qsAj� nU *�{$R$Bt %s�$sAj� tB�s�$BtU

? � � )

l

d, $P 4$�Y� j�� q $R 4Bbt Ak s$�{�sP� �k}� 0, q ; U, 0 ; x

(, B�Y��b$R�

r � U tZ8A�� BP s$�{�sP� wBP �k}� 0D Bt ��BZtI s�{ / $t �k}� 0:R t��bB�,� / ; t � , 0 ; x

R � U tZ8A�� BP }sRR�t���R 4Bbt ws{{�}��I I�8stID Bt }s�Y 7� 7 ; �

Page 43: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

nn

WB�� �Ys� ? � � s�� A$ts�k I�{$R$Bt %s�$sAj�R� G� sRRZ8� �Ys� sjj �Y� �k}�R $t x � BP Ps8$jk

> {st A� sRR$�t�I �B sjj �Y� j��R $t U � � yP� $t RB8� R}�{$sj {sR�R� {���s$t �k}� 0 ; x � {sttB�

A� sRR$�t�I �B j�� q ; U � � b� {st R�� st Z}}�� ABZtI BP ( �B ? � � RB sR �B }�BY$A$� ? � � P�B8

A�{B8$t� d�

3$tsjjk� ��{sjj �Ys� s j�� ��P��R �B �Y� R��8�t� {Btt�{�$t� �bB R�B}R BP s 4$�Y� s� s R}�{$h{

I�}s��Z�� �$8�� bY���sR s }s�Y ��P��R �B s 4$�Y� j�� wB� s R�� BP 4$�Y� j��RD A��b��t s R}�{$h{

B�$�$t stI I�R�$ts�$Bt stI s� s R}�{$h{ I�}s��Z�� �$8�� qYZR� �Y��� {st A� 8Zj�$}j� }s�YR

A��b��t �s{Y B�$�$tTI�R�$ts�$Bt }s$�� stI �s{Y }s�Y $R Zt$JZ�jk I����8$t�I Ak �Y� R�� BP

j��R $� {BtR$R�R BP�

yt bYs� PBjjBbR� b� h�R� }��R�t�� $t 7�{�$Bt n�;� �Y� AsR${ w$���� Xj��TAsR�I"D 3V� PB�8ZT

js�$Bt {B88Btjk ZR�I $t �Y� j$���s�Z��� yt 7�{�$Bt n�x� b� I�R{�$A� s X}s�YTAsR�I" i�%�tZ�

�sts��8�t� 7kR��8 �Ys� $R ��{�t�jk }�B}BR�I $t �Y� j$���s�Z��� yt 7�{�$Bt n�E� b� }��R�t�

BZ� X}s�YTAsR�I" **i 8BI�jR�

n�; V N��T sR�I 3j��� VRR$�t8�t� �BI�j

G� h�R� }��R�t� �Y� j��TAsR�I 3V� PB�8Zjs�$Bt {B88Btjk ZR�I $t �Y� j$���s�Z�� wR��� PB�

$tR�st{�� i�-$t� �� sj� w1(((DD� V �$8�TR}s{� t��bB�, $R {BtR��Z{��I PB� �s{Y s$�{�sP�

�k}�� sR �-}js$t�I $t 7�{�$Bt n�1� b$�Y �Y� I$&���t{� A�$t� �Ys� �s{Y �k}�:R t��bB�, tBb

$t{jZI�R sjj �Y� 4$�Y� j��R �Ys� $� $R JZsj$h�I �B 4k wsR B}}BR�I �B 4$�Y� j��R sRR$�t�I �B

$�R {B���R}BtI$t� Ps8$jk� sR b$jj A� IBt� PB� **iD� <Bb�%��� $t B�I�� �B R$8}j$Pk tB�s�$Bt�

$t bYs� PBjjBbR b� b$jj ZR� �Y� Rs8� tB�s�$Bt w] � D �B I�R{�$A� �Y� R�� BP tBI�R $t �k}� 0:R

t��bB�,� 0 ; x �

�BR� 3V� PB�8Zjs�$BtR PB{ZR Bt 8$t$8$9$t� �Y� �B�sj {BR� BP sRR$�t$t� s$�{�sP� �k}�R

Page 44: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

n;

�B 4$�Y� j��R�

�BI�j d sR${ N��TAsR�I 3V� w3V�TNDU

�$t$8$9�3

� � �

3� � �

� � � ? � �

RZA`�{� �B

3� � �

? � � ) d, � q ; U wdsD

3� � �

KW � � ? � � L3

� � � �K/ � � r � ) (, �z ; ] � , �0 ; x wdAD

3� � �

? � � L3

� � �r � � \ � , � 0 ; x wd{D

? � � ; \(, di, � q ; U, �0 ; x wdID

r � � (, � / ; t � , �0 ; x3 wd�D

qY� PB{ZR BP 3V� $R �B htI �Y� XRs8� �%��kIsk 4���$t�"� ]BtR��s$t�R wdsD s�� �Y� {B%��

{BtR��s$t�R� ��JZ$�$t� �s{Y j�� �B A� sRR$�t�I �B �-s{�jk Bt� s$�{�sP� �k}�� ]BtR��s$t�R wdAD

s�� �Y� Asjst{� {BtR��s$t�R� ��JZ$�$t� s$�{�sP� 4Bb �B A� {BtR��%�I s� �s{Y tBI�� ]BtT

R��s$t�R wd{D s�� �Y� {BZt� {BtR��s$t�R� bY${Y �tRZ�� �Ys� �Y� tZ8A�� BP s$�{�sP� BP �s{Y

�k}� ZR�I {sttB� �-{��I �Y� �B�sj tZ8A�� BP s%s$jsAj� s$�{�sP� BP �Y$R �k}�� 3$tsjjk� ]BtT

R��s$t�R wdID stI wd�D ��JZ$�� �Y� sRR$�t8�t� %s�$sAj�R� -� �B A� A$ts�k� stI �Y� ��BZtI

%s�$sAj�R� k� �B A� tBtt��s�$%�� !AR��%� �Ys� �Y� $t����sj$�k BP %s�$sAj�R k $R $8}j$�I Ak

�Y� $t����sj$�k BP %s�$sAj�R -� stI Y�t{�� t��I tB� A� �-}j${$�jk R�s��I $t �Y� PB�8Zjs�$Bt�

VR 8�t�$Bt�I $t �Y� }��%$BZR {Ys}���� 8BR� 8BI�jR �8}jBk�I $t �Y� j$���s�Z�� I����8$t�

�Y� {BR�� � � � � BP sRR$�t$t� �k}� 0 �B j�� q AsR�I Bt �bB {B8}Bt�t�RU �Y� B}��s�$t� {BR� stI

�Y� R}$jj {BR� wVAs�s wd�M�D� <st� �� sj� wd��xD� ]js�,� �� sj� wd��EDD� !AR��%� �Ys� �Y�

Page 45: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

nx

�-}�{��I R}$jj Bt j�� q, q ; U� ��RZj�$t� P�B8 sRR$�t8�t� BP �k}� 0, 0 ; x � I�tB��I sR o>X � � H�

{st A� I����8$t�I AkU

o>X � � H )

8 �

� � � � w; � � gy� � D _w; � D Q; � , w1D

bY��� _w3D I�tB��R �Y� }�BAsA$j$�k I�tR$�k PZt{�$Bt BP j�� I�8stI ; � � bY${Y $R ZRZsjjk

8BI�j�I sR s {Bt�$tZBZR tB�8sj I$R��$AZ�$Bt� !P {BZ�R�� $� $R sjRB }BRR$Aj� �B 8s-$8$9� �Y�

�B�sj ��%�tZ� $t �Y$R PB�8Zjs�$Bt�

!AR��%� �Ys� �Y� {BtR��s$t�R $t �BI�j d IB tB� $t{jZI� stk }sRR�t��� I�8stI stI

s$�{�sP� {s}s{$�k $tPB�8s�$Bt� qY$R $tPB�8s�$Bt {st Btjk A� {BtR$I���I $t �Y� {BR� ���8

BP �Y� BA`�{�$%� PZt{�$Bt� qYZR� �BI�j d 8sts��R RZ}}jk Ak sRR$�t$t� s$�{�sP� �k}� w�YZR�

{s}s{$�kD �B �s{Y j��� AsR�I Bt �-B��tBZRjk I����8$t�I j�� I�8stIR� ]BtR�JZ�t�jk� b� ��P��

�B {BtR��s$t�R wdsDuwd�D sR �Y� XRZ}}jk 8sts��8�t�" {BtR��s$t�R�

y� $R }BRR$Aj� �B �-��tI �Y� AsR${ 3V� RZ{Y �Ys� $� sjRB $t{jZI�R s�����s�� 8s$t��tst{�

{BtR��s$t�R s� �Y� �k}� j�%�j wR�� V}}�tI$- d PB� RZ{Y st �-��tI�I PB�8Zjs�$BtD�

qY� t�-� R�{�$Bt I$R{ZRR�R }s�YTAsR�I s}}�Bs{Y�R PB� s$�j$t� RZ}}jk stI I�8stI 8stT

s��8�t��

n�x V _s�YT sR�I i�%�tZ� �sts��8�t� 7kR��8

qY� Xj��TAsR�I" 3V� �$%�t $t �BI�j d {BtR$I��R j�� I�8stIR sR $tI�}�tI�t� stI {BtR$R�R

Btjk BP RZ}}jk 8sts��8�t� {BtR��s$t�R� <Bb�%��� $t �Y� =t$��I 7�s��R� sABZ� ;(0 BP �Y�

}sRR�t��� ��$}R {BtR$R� BP 8Zj�$}j� j��R� A�{sZR� BP �Y� YZA stI R}B,� t��bB�,R� ]j�s�jk�

�Y� I�8stI {B8$t� P�B8 s }sRR�t���� bYB t��IR �B 4k 8Zj�$}j� j��R A��b��t Y�� B�$�$t

stI I�R�$ts�$Bt� b$jj A� I�}�tI�t� Bt �Y� s%s$jsA$j$�k BP R�s�R Bt sjj j��RU $P R�s�R Bt Bt�

Page 46: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

nE

j�� s�� Zts%s$jsAj�� �Y�t �Y$R I�8stI b$jj A� jBR�� qYZR� wdD j�� I�8stIR {st A� Y$�Yjk

I�}�tI�t�� stI w1D }sRR�t���R� bYB I�8stI �B 4k Bt s }s��${Zjs� j��� s�� tB� $I�t�${sj

$t ���8R BP �Y� ��%�tZ� �Ys� �Y�k b$jj ��t��s�� stI\B� s$�j$t� ��RBZ�{�R �Ys� �Y�k b$jj

{BtRZ8�� qY���PB��� s$�j$t�R t��I �B Z�$j$9� ��{Yt$JZ�R RB sR �B 8sts�� �Y�$� I�8stI $t �Y�

8BR� B}�$8sj bsk Ak I�{$I$t� Bt bY${Y }sRR�t���R �B s{{�}� Bt bY${Y 4$�Y�R� {BtR$I��$t�

I�}�tI�t{$�R $t I�8stIR� yt sII$�$Bt� s$�j$t�R {st �-��{$R� RB8� {Bt��Bj B%�� �Y�$� I�8stI

�Y�BZ�Y }�BIZ{� wR�s�R Bt s 4$�Y� j��D I$&���t�$s�$Bt� bY${Y $R 8BR�jk IBt� AsR�I Bt �$8�

BP }Z�{YsR� w�Y$R $R {B88Btjk ��P����I �B sR ��%�tZ� 8sts��8�t�D� sR b�jj sR �Y�$� }�${$t�

I�{$R$BtR� R�� �{p$jj stI %st ik9$t wd���D PB� st �-��tR$%� ��%$�b BP ��R�s�{Y Bt ��%�tZ�

8sts��8�t��

!A%$BZRjk� st s$�j$t�:R 4���$t� I�{$R$BtR b$jj ���s�jk {BtR��s$t �Y� �-��t� �B bY${Y $�

{st 8sts�� $�R I�8stI� 7$8$js�jk� st s$�j$t� YsR s Y$�Y j�%�j BP {Bt��Bj B%�� $�R I�8stI�

stI �Y���PB��� j�� I�8stIR s�� tB� �-B��tBZRjk I����8$t�I $t}Z�R �B �Y� 4��� sRR$�t8�t�

8BI�j� <Bb�%��� sR R�s��I }��%$BZRjk� �Y� ��sI$�$Btsj s$�j$t� }jstt$t� }�B{�RR ��t��sjjk

8s,�R RZ}}jk 8sts��8�t� stI I�8stI 8sts��8�t� I�{$R$BtR R�JZ�t�$sjjk� b$�Y j$��j� B�

tB $t���s{�$Bt A��b��t �s{Y B�Y��� yt sII$�$Bt� 8BR� ��R�s�{Y Bt ��%�tZ� 8sts��8�t� YsR

PB{ZR�I Bt }Bj${$�R �Ys� s�� B}�$8sj PB� s R$t�j� 4$�Y� j��� V t�b R���s8 BP ��R�s�{Y $R

��{�t�jk �8���$t� $t �Y� ��%�tZ� 8sts��8�t� j$���s�Z��� PB{ZR$t� Bt }Bj${$�R {BtR$I��$t�

}s�Y I�8stIR� qYZR� $t �Y� PBjjBb$t�� b� R�s�� Ak {BtR$I��$t� RZ{Y s }s�YTAsR�I ��%�tZ�

8sts��8�t� RkR��8� G� ��P�� �Y� $t����R��I ��sI�� �B �{p$jj stI %st ik9$t wd���D PB� st

�-��tR$%� ��%$�b BP ��R�s�{Y Bt ��%�tZ� 8sts��8�t��

7}�{$h{sjjk� b� I$R{ZRR s X*$R}js{�8�t� VI`ZR��I z$��Zsj W�R�$t� w*VzWD" �k}� BP s

Page 47: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

n�

��%�tZ� 8sts��8�t� RkR��8 wR��� PB� $tR�st{�� �jBAsAs stI N�� w1(((DD� 7Z{Y s i�%�tZ�

�sts��8�t� 7kR��8 {BtR$I��R 4��� sRR$�t8�t�R w�Y� {s}s{$�k sRR$�t�I �B �s{Y 4$�Y� j��D

sR �$%�t� stI I����8$t�R �Y� }s�Y I�8stI s{{�}��I Ak �Y� RkR��8 RB sR �B 8s-$8$9� �B�sj

��%�tZ�� qYZR� $� 8sts��R I�8stI� {BtR$I��$t� s h-�I RZ}}jk �$%�t Ak �Y� 4���$t� RBjZ�$Bt�

yt �Y� PBjjBb$t�� b� b$jj tB� }�B%$I� sjj �Y� I��s$jR BP *VzW wR�� �jBAsAs stI N��

w1(((D PB� I��s$jRD� AZ� }��R�t� s }s��${Zjs� N$t�s� _�B��s8 wN_D� bY${Y $R st $8}B��st�

{B8}Bt�t� BP �Y�R� RkR��8R�

i�{sjj �Ys� R � $R �Y� s{{�}��I I�8stI Bt }s�Y 7� 7 ; �� �Y�R� s�� BZ� I�{$R$Bt %s�$sAj�R

wR�� 7�{�$Bt n�n PB� �Y� tB�s�$BtD� p$%�t s 4���$t� RBjZ�$Bt� b� j��� PB� �s{Y q ; U�

gy�\XX � #3� � �

gy� � ? � �

I�tB�� �Y� {s}s{$�k sRR$�t�I �B j�� q $t �Y� �$%�t 4���$t� RBjZ�$Bt� qYZR� �Y�R� {s}s{$�$�R s��

$t}Z�R �B �Y� *VzW �k}� BP st i� 7kR��8� bY${Y 8s,�R ZR� BP �Y� PBjjBb$t� N_� ZRZsjjk

RBj%�I PB� �s{Y I�}s��Z�� Isk�

�BI�j 1 _s�YTAsR�I i� �BI�j wi�T_DU

�s-$8$9�3

� � �W � R �

RZA`�{� �B

3

� � � � � �R � � gy�\XX � , � q ; U wnsD

R � � � , � 7 ; � wnAD

R � � (, � 7 ; � wn{D

Page 48: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

nM

]BtR��s$t�R wnsD ��JZ$�� �Ys� �Y� tZ8A�� BP }sRR�t���R 4Bbt Bt �s{Y j�� IB�R tB� %$Bjs��

�Y� {s}s{$�k BP �Y� s$�{�sP� �k}� sRR$�t�I �B �Ys� j��� stI {BtR��s$t�R wnAD �tRZ�� �Ys� �Y�

�-}�{��I I�8stI Bt �s{Y }s�Y }�B%$I�R st Z}}�� j$8$� Bt �Y� tZ8A�� BP }sRR�t���R 4Bbt

Bt �Ys� }s�Y� <�t{�� {BtR��s$t�R wnsDuwn{D I����8$t� �Y� tZ8A�� BP }sRR�t���R 4Bbt Bt

�s{Y }s�Y 7 wR � D Ak {BtR$I��$t� �Y� ��RBZ�{� {BtRZ8}�$Bt �Ys� �s{Y }s�Y }sRR�t��� ��JZ$��R�

qY���PB��� b� b$jj ��P�� �B {BtR��s$t�R wnsDuwn{D sR �Y� XI�8stI 8sts��8�t�" {BtR��s$t�R�

yt ��sj$�k� �Y� 8�st I�8stI �R�$8s��R� � � s�� tB� t�{�RRs�$jk $t�����R� qYZR� Ak sjRB tB�

��JZ$�$t� R � �B A� $t����sj� b� s�� jBB,$t� PB� st s}}�B-$8s�� RBjZ�$Bt�

qB RZ88s�$9�� �B BZ� ,tBbj�I��� 8BR� s$�j$t�R s�� {Z���t�jk 8s,$t� �Y�$� 4���$t� stI

��%�tZ� 8sts��8�t� I�{$R$BtR $t s R�JZ�t�$sj 8stt��� Vj�YBZ�Y RB8� s$�j$t�R Ys%� R�s���I

ZR$t� }s�Y j�%�j I�8stIR $t �Y�$� ��%�tZ� 8sts��8�t� RkR��8R� 8BR� 4��� sRR$�t8�t� 8BIT

�jR s�� R�$jj AsR�I Bt j�� j�%�j I�8stIR� yt sII$�$Bt� I�8stI PB��{sR�R s�� Y$�Yjk Zt{���s$t

bY�t 4��� sRR$�t8�t� I�{$R$BtR s�� 8sI�� AZ� PB��{sR�R $8}�B%� R$�t$h{st�jk B%�� �$8�� Vjj

�Y�R� R�s��8�t�R YBjI PB� BZ� $tIZR��k }s��t��� s 8s`B� =7 s$�j$t�� VR s ��RZj�� s ��T4���$t�

8BI�j �Ys� bBZjI sjjBb �Y� s$�j$t� �B $t����s�� $�R RZ}}jk stI I�8stI 8sts��8�t� I�{$R$BtR�

bY$j� �s,$t� sI%st�s�� BP st $8}�B%�I I�8stI PB��{sR� BA�s$t�I sR I�}s��Z��R t�s�� {BZjI

���s�jk A�t�h� �Y� s$�j$t��

yt �Y� PBjjBb$t� R�{�$BtR� b� I�sb Z}Bt �Y�R� BAR��%s�$BtR stI {Bt{jZR$BtR �B 8BI�j �Y�

**i }�BAj�8� stI }��R�t� R�%��sj %s�$s�$BtR BP $��

Page 49: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

n�

n�E qY� _�B}BR�I **i �BI�jR

yt �Y$R R�{�$Bt� b� }��R�t� BZ� PB�8Zjs�$Bt BP �Y� **i �Ys� s$8R s� $t����s�$t� RZ}}jk stI

I�8stI 8sts��8�t� I�{$R$BtR� yt 7�{�$Bt n�E�d� b� }��R�t� �Y� AsR${ **i 8BI�j �Ys�

{BtR$I��R st s�����s��I }s�YTj�%�j I�8stIR� yt 7�{�$Bt n�E�1� b� �-��tI �Y� AsR${ 8BI�j

$t�B s **i 8BI�j b$�Y }s�YT{jsRR j�%�j I�8stIR� yt 7�{�$Bt n�E�n� b� PZ��Y�� �-��tI �Y�

8BI�j RB �Ys� *!GwIsk BP b��,D B� *!�wIsk BP 8Bt�YD %s�$s�$Bt $R {BtR$I���I� 3$tsjjk� $t

7�{�$BtR�{**ii� b� $t��BIZ{� �Y� {Bt{�}� BP ��{s}�Z�� stI �-��tI �Y� AsR$I **i 8BI�j

�B $t{jZI� �Y$R {Bt{�}��

VR 8�t�$Bt�I }��%$BZRjk� $t �Y$R �Y�R$R� b� b$jj j$8$� �Y� R{B}� BP RZ}}jk 8sts��8�t�

�B 4���$t� stI �Y� R{B}� BP I�8stI 8sts��8�t� �B ��%�tZ� 8sts��8�t�� <Bb�%��� b�

A�j$�%� �Ys� �Y� PZ�Z�� RkR��8 PB� st s$�j$t� $R �Y� Bt� �Ys� $t����s��R sjj RZ}}jk 8sts��8�t�

w����� 4$�Y� R{Y�IZj$t�� 4��� sRR$�t8�t�� {��b R{Y�IZj$t�D stI I�8stI 8sts��8�t� w�����

��%�tZ� 8sts��8�t�� }�${$t�D I�{$R$BtR�

n�E�d qY� sR${ **i �BI�j

VR I$R{ZRR�I }��%$BZRjk� b� }�B}BR� �B RBj%� �Y� **i R�}s�s��jk PB� �s{Y Ps8$jk� RB sR �B

}��R��%� �Y� $t$�$sj {��b R{Y�IZj�R� qY$R s}}�Bs{Y sjRB j�sIR �B s 8Z{Y R8sjj�� }�BAj�8

R$9� �Yst �Y� B�$�$tsj 4���$t� }�BAj�8� �YZR sjjBb$t� s 8B�� I��s$j�I stsjkR$R�

G� tBb R�� Z} BZ� AsR${ **i 8BI�j �Ys� s$8R s� $t����s�$t� 4���$t� stI ��%�tZ�

8sts��8�t� I�{$R$BtR� G� RBj%� �Y$R **i }�BAj�8 PB� �s{Y Ps8$jk >, �> ; �� qY�

PB�8Zjs�$Bt PB� Ps8$jk > $R �$%�t A�jBb�

Page 50: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;(

�BI�j n Vt yt����s��I _s�YTAsR�I **i �BI�j w**iT D PB� 3s8$jk >U

�s-$8$9�3� � �

W � R � �3

� � � �

3� � � �

��� � ? � �

RZA`�{� �B

3� � � �

? � � ) d, � q ; U w;sD

3� � � �

KW � ? � � L3

� � � K/ � r � ) (, �z ; ] � , �0 ; x w;AD

3� � � �

? � � L3

� � � � r � � \ � , � 0 ; x w;{D

3� � � � � �

R � �3

� � � �gy� � ? � � , � q ; U w;ID

3� � � � � �

R � � gy�\XX � , � q ; U� U w;�D

R � � � , � 7 ; � w;PD

? � � ; \(, di, � q ; U , �0 ; x w;�D

r � � (, � / ; t � , �0 ; x w;YD

R � � (, � 7 ; � w;$D

yt bYs� PBjjBbR� b� ��P�� �B �Y$R 8BI�j sR �Y� AsR${ **i 8BI�j PB� Ps8$jk > stI I�tB��

$� sR **iT � 7Z}}jk stI I�8stI 8sts��8�t� I�{$R$BtR $t���s{� $t �Y$R 8BI�j �Y�BZ�Y

{BtR��s$t�R w;ID� !P {BZ�R�� s�����s�� 8s$t��tst{� {BtR��s$t�R {st sjRB A� {BtR$I���I $t

�Y$R 8BI�j Ak �Y� $t{jZR$Bt BP {BtR��s$t�R w�nsDuw�nID $t V}}�tI$- d� yt �Y� BA`�{�$%�

PZt{�$Bt� b� ZR� ��� � �B I�tB�� �Y� {BR� BP {B%��$t� j�� q ZR$t� s$�{�sP� �k}� 0� bY${Y 8sk wB�

8sk tB�D A� I$&���t� P�B8 �Y� {BR� � � � ZR�I }��%$BZRjk� RZ{Y sR $t �BI�j d�

!AR��%� �Ys� �Y$R 8BI�j Btjk sjjBbR �Y� ��TsRR$�t8�t� BP �k}�R $t Ps8$jk > wR�� x D

�B j��R B�$�$tsjjk sRR$�t�I �B �Ys� Ps8$jk Ak 3V� wR�� U D� R�� {BtR��s$t�R w;ID stI w;�D�

]s}s{$�k sRR$�t8�t�R �B j��R BZ�R$I� �Y� Ps8$jk wR�� U � U D s�� {BtR$I���I h-�I bY$j�

Page 51: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;d

RBj%$t� �Y� **i PB� �Y$R Ps8$jk wR�� {BtR��s$t�R w;�DD� qY�R� h-�I {s}s{$�k sRR$�t8�t�R�

�B���Y�� b$�Y I�{$R$Bt %s�$sAj�R PB� I�8stI s{{�}��I Bt sjj }s�YR wR � , 7 ; �� R�� {BtT

R��s$t�R w;PD stI w;$DD� s�� R�$jj $t{jZI�I $t �Y� PB�8Zjs�$Bt RB sR �B {BtR$I�� �Y� t��bB�,

�&�{� IZ� �B �Y� I�}�tI�t{k A��b��t sjj }s�YR stI {s}s{$�k sRR$�t8�t�R $t �Y� t��bB�,�

!P {BZ�R�� �BI�j n {st A� �-��tI�I RZ{Y �Ys� ��T4���$t� $R IBt� PB� sjj Ps8$j$�R R$8ZjT

�st�BZRjk wsR jBt� sR �s{Y j�� $R ��TsRR$�t�I b$�Y$t $�R B�$�$tsj Ps8$jkD� <Bb�%��� �Y$R b$jj

$t{��sR� �Y� }�BAj�8 R$9� {BtR$I��sAjk� stI �YZR� t��IR PZ��Y�� ��R�s�{Y� !Z� $t$�$sj ��R�s�{Y

I$��{�$Bt b$jj A� �B sII��RR �Y� }�BAj�8 R�}s�s��jk PB� �s{Y Ps8$jk� sR $R IBt� $t �BI�j n�

yt �Y$R {sR�� �Y� B�I�� $t bY${Y �Y�R� 8BI�jR PB� �Y� Ps8$j$�R s�� RBj%�I b$jj Ys%� st $8}s{�

Bt �Y� B%��sjj I�{$R$Bt� Vtsjk9$t� �Y$R $RRZ� $R stB�Y�� ��R�s�{Y I$��{�$Bt�

n�E�1 _s�YT]jsRR N�%�j sR�I **i �BI�j

y� $R �sRk �B �-��tI �BI�j n �B $t{jZI� }s�YT{jsRR j�%�j I��s$jR� VRRZ8�� PB� �Y� Rs,� BP

R$8}j${$�k $t tB�s�$Bt� �Ys� sjj }s�YT{jsRR�R �Ys� }sRR �Y�BZ�Y j�� q, q ; U� {st ZR� �Y� Rs8�

{s}s{$�k� gy�\XX � w$���� b� $�tB�� �Y� I$&���t{� A��b��t {Bs{Y {jsRR�R stI AZR$t�RR\h�R�

{jsRR�RD� yt bYs� PBjjBbR� b� j�� W � � � � R � � � � stI � � � I�tB�� �Y� Ps��� tZ8A�� BP s{{�}��I

}sRR�t���R� stI 8�st I�8stI Bt }s�Y 7 stI {jsRR �� ��R}�{�$%�jk� PB� 7 ; �, � ; g� y�

$R R��s$�Y�PB�bs�I �B �-��tI �Y$R 8BI�j �B $t{jZI� h�R� stI AZR$t�RR {jsRR�R� !Z� 8BI�j

BA`�{�$%�� sR b�jj sR I�8stI 8sts��8�t� {BtR��s$t�R w{BtR��s$t�R wnsDuwn{DD� {st �YZR A�

��stRPB�8�I sR RYBbt $t �BI�j ; A�jBb�

Page 52: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;1

�BI�j ; _s�YT]jsRR N�%�j sR�I **i �BI�j w**iT]DU

�s-$8$9�3� � �

3

� � �W � � � R � � � �

3� � � �

3 � �

�� � ? �

RZA`�{� �B

3 � �

? � ) d, � q ; U � wxsD

3� � � �

KW � ? � L3

� � � �K/ � r � ) (, �z ; ] , �0 ; x � wxAD

3� � � � �

? � L3

� � � � �r � � \ , � 0 ; x � wx{D

3� � � � � �

3

� � �R � � � �

3 � �

gy� ? � , � q ; U � wxID

3� � � � � �

3

� � �R � � � � gy�\XX � , � q ; U� U � wx�D

R � � � � � � � , � 7 ; �, �� ; g wxPD

R � � � � (, � 7 ; �, �� ; g3 wx�D

7$8$js� �B 3V�� **i b$jj ��t��s�� �Y� XRs8� �%��kIsk 4���$t�"� y� b$jj A� �Y� PB{ZR BP

�Y� *�8stI *�$%�t *$R}s�{Y w***D 8BI�j �B {Yst�� �Y�R� X�%��kIsk sRR$�t8�t�R" bY�t

sI%st�s��BZR wR�� ]Ys}��� d PB� st B%��%$�b BP �Y� B%��sjj 8BI�jD�

n�E�n yt����s��I _s�YTAsR�I **i �BI�j b$�Y *!G B� *!� zs�$s�$BtR

yt �BI�j n� b� s�����s�� sjj �Y� I�8stI $tPB�8s�$Bt $t�B Bt� I$R��$AZ�$Bt� stI Btjk ZR�

st s�����s��I 8�st� � � PB� �Y� {B���R}BtI$t� }s�Y I�8stI B%�� �Y� }jstt$t� YB�$9Bt�

<Bb�%��� I�8stI I$R��$AZ�$BtR stI }s�s8����R PB� �Y� Rs8� }s�Y 8$�Y� I$&�� js���jk B%��

I$&���t� IskR BP b��, w*!GD� stI BP 8Bt�Y w*!�D� �BtIsk stI 3�$Isk� PB� �-s8}j�� s��

IskR b$�Y Y$�Y I�8stIR Bt }s�YR }sRR$t� �Y�BZ�Y AZR$t�RR {�t���R� bY���sR �Y� Rs8� }s�YR

8$�Y� �-}��$�t{� 8Z{Y jBb�� I�8stIR Bt s qZ�RIsk� yt Ps{�� �Y� I�8stI PB� �%��k Isk BP

Page 53: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;n

�Y� b��, b$jj� }BRR$Ajk� Ys%� s I$&���t� 8�st Bt s js��� tZ8A�� BP }s�YR� yt bYs� PBjjBbR�

b� j�� W � � � � � � R � � � � � � stI � � � � � I�tB�� �Y� Ps��� tZ8A�� BP s{{�}��I }sRR�t���R� stI 8�st

I�8stI Bt }s�Y 7� {jsRR �� stI b��, Isk j� PB� 7 ; �, � ; g,j ; P � bY��� P $R �Y� R��

BP IskR {BtR$I���I� G� sjRB j�� /P / I�tB�� �Y� {s�I$tsj$�k wR$9�D BP R�� P � !AR��%� �Ys� $P

I�8stI }s����tR Bt R�%��sj IskR s�� R$8$js�� �Y�t �Y�R� IskR {st R�$jj A� s�����s��I stI

{BtR$I���I sR s R$t�j� Isk� yt �Y$R {sR�� b� j�� /j/ I�tB�� �Y� {s�I$tsj$�k BP �Y� s�����s��I

Isk� stI �$%� �s{Y s�����s��I Isk s b�$�Y� BP � � � bY��� � � )� � �

� � � � stI�

� � � � � ) d�

]BtR$I��$t� �Y$R I��s$j j�sIR �B BZ� t�-� **i 8BI�j� �$%�t sR PBjjBbR�

�BI�j x yt����s��I _s�YTAsR�I **i �BI�j b$�Y *!G B�

*!� zs�$s�$BtR w**iTGDU

�s-$8$9�3

� � �

3

� � �

3

� � � � � W � � � � � R � � � � � �3

� �

3� � �

� � � ? �

RZA`�{� �B

3� � �

? � ) d, � q ; U � wEsD

3 � �

KW � ? � L3

� � � �K/ � � r � ) (, �z ; ] � , �0 ; x � wEAD

3 � � � �

? � L3

� � � � �r � � \ � , � 0 ; x � wE{D

3

� � � � �3

� � �R � � � � � �

3� � �

gy� � ? � , � q ; U � , � j ; P wEID

3

� � � � �3

� � �R � � � � � � gy�\XX � , � q ; U� U � , � j ; P wE�D

R � � � � � � � � � � � , � 7 ; �, � � ; g, � j ; P wEPD

? � � ; \(, di, � q ; U � , �0 ; x � wE�D

r � � (, � / ; t � , �0 ; x � wEYD

Page 54: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;;

R � � � � � � (, � 7 ; �, � � ; g, � j ; P3 wE$D

WB�${� �Ys� �Y� %s�$st� 8�st I�8stIR }�B%$I� 8B�� s{{Z�s�� $tPB�8s�$Bt PB� �Y� sRT

R$�t8�t� I�{$R$Bt �Yst �Y� s�����s��I 8�st I�8stIR� <Bb�%��� �Y� Is$jk 4��� sRR$�t8�t�

I�{$R$BtR s�� R�$jj j�P� $t%s�$st� Zt�$j 4$�Y� I�}s��Z��R s�� %��k t�s�� $���� �Y� *** R�s���

n�E�; **i b$�Y i�{s}�Z�� w**iTiD

yt �Y� **i 8BI�jR }��R�t��I sAB%� w�BI�jR n� ; stI xD� b� sRRZ8� �Ys� }sRR�t���R �$�Y��

4k Bt �Y� R}�{$h{ }s�Y �Ys� �Y�k Ys%� I�8stI�I �B 4k B� �Y�k b$jj A� jBR�� yt ��sj$�k�

YBb�%��� s }sRR�t���� bYB {sttB� ��� Bt �Y� }s�Y BP Y�� h�R� {YB${�� {st A� ��{s}�Z��I Ak

�Y� s$�j$t�:R B�Y�� }s�YR A��b��t Y�� B�$�$t stI I�R�$ts�$Bt� qYZR� I�8stIR Bt }s�YR b$�Y

{B88Bt B�$�$tTI�R�$ts�$Bt }s$�R b$jj A� Y$�Yjk I�}�tI�t�� qY$R $8}B��st� �&�{� t��IR �B

A� {BtR$I���I $t �Y� **i� qY���PB��� b� tBb �-��tI BZ� AsR${ **i 8BI�j �B sjRB {BtR$I��

�Y$R sR}�{� BP I�8stI 8sts��8�t�� G� b$jj ��P�� �B �Y� ��RZj�$t� 8BI�j sR �Y� **i 8BI�j

b$�Y ��{s}�Z�� w$t bYs� PBjjBbR� �Y$R $R ��P����I �B sR **iTiD�

G� h�R� ��%$�b RB8� tB�s�$Bt I�ht�I $t 7�{�$Bt n�n� i�{sjj �Ys� � � � � $R �Y� R�� BP }s�YR

Ys%$t� B�$�$t L stI I�R�$ts�$Bt Q� wL, QD ; 5;� stI �wqD $R �Y� R�� BP }s�YR �Ys� {�BRR

�Y�BZ�Y j�� q, q ; U� 7$8$js�jk� wL � , Q � D ��P��R �B �Y� B�$�$t stI I�R�$ts�$Bt BP }s�Y 7, 7 ; ��

yt sII$�$Bt� b� I�ht� # � � sR �Y� }�B}B��$Bt BP �-{�RR w$���� R}$jj�ID I�8stI Bt }s�Y 7 �Ys�

{st A� �BZ��I �B s I$&���t� }s�Y i� �7 ; �, i ; � � � � � � , i W) 7� qY$R $R �Y� }�B}B��$Bt

BP }sRR�t���R bYBR� h�R� {YB${� $R }s�Y 7� AZ� bYB {st A� �BZ��I �B }s�Y i� $t {sR� �Y�$�

h�R� {YB${� $R tB� s%s$jsAj�� G� b$jj ��P�� �B }s�s8����R # � � sR RZAR�$�Z�$Bt Ps{�B�R� �Y�R�

s�� $t}Z�R �B BZ� 8BI�j� yt }�s{�${�� }sRR�t��� RZAR�$�Z�$Bt b$jj I�}�tI Bt R�%��sj Ps{�B�R

RZ{Y sR �Y� s$�j$t�:R 4$�Y� t��bB�, stI R{Y�IZj�� 8s�,�� RYs��� stI {B8}��$�$Bt {B8$t�

Page 55: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;x

P�B8 B�Y�� s$�j$t�R� stI �YZR� �Y�R� }s�s8����R s�� %��k I$^{Zj� �B I����8$t�� <Bb�%���

RB8� ��R�s�{Y��R Ys%� ��{�t�jk R�s���I stsjk9$t� �Y� ZR� BP I$R{���� {YB${� jB�$� 8BI�jR

PB� s$�j$t� PB��{sR�$t�� R�� %st ik9$t w1(((D� bYB ZR�R I$R{���� {YB${� �Y�B�k �B }��I${�

st $tI$%$IZsj {BtRZ8��:R {YB${� Ak {BtR$I��$t� RZ{Y Ps{�B�R sR }�${�� 4$�Y� {Ys�s{���$R�${R�

{ZR�B8�� {Ys�s{���$R�${R� R{Y�IZj�R� ��{� qY� j$���s�Z�� Bt ���s$j B}��s�$BtR �Ys� {BtR$I��R

{ZR�B8�� RZAR�$�Z�$Bt {BZjI sjRB A� ZR�PZj $t }�B%$I$t� $tR$�Y�R� R��� PB� �-s8}j�� �sYs`st

stI %st ik9$t wd��MD�

yt B�I�� �B R$8}j$Pk tB�s�$Bt� b� {BtR$I�� A�jBb Btjk }s�Y j�%�j I�8stIR� �-��tR$BtR �B

}s�YT{jsRR stI\B� *!G B� *!� j�%�jR s�� R��s$�Y�PB�bs�I� G� j�� R �� � I�tB�� �Y� I�8stI

Bt }s�Y 7 �Ys� $R 4Bbt Bt }s�Y i� �7 ; �, i ; � � � � � � � bY�t ��{s}�Z�� $R {BtR$I���I $t �Y�

stsjkR$R� �Y�R� s�� BZ� I�{$R$Bt %s�$sAj�R� wWB�� �Ys� �Y� %s�$sAj� R � BP �BI�j 1� PB� �-s8}j��

��js��R �B %s�$sAj� R �� � $t �Y� }��R�t� {Bt��-��D qYZR� BZ� BA`�{�$%� PZt{�$Bt stI I�8stI

8sts��8�t� {BtR��s$t�R s�� ��%$R�I sR RYBbt $t �BI�j E A�jBb�

�BI�j E **i �BI�j ]BtR$I��$t� i�{s}�Z�� w**iTiDU

�s-$8$9�3� � � W � 3

� � � � � �R �� � �

3� � �

3� � � � �

� � � ? � � �3� � �

3� � � � � � � � �� � & � � R �� �

RZA`�{� �B

3� � � � ? � � ) d, � q ; U � w�sD

3� � � KW � � ? � � L

3

� � � � K/ � � r � ) (, �z ; ] � , �0 ; x � w�AD

3� � ! � ? � � L

3

� � ! � r � � \ � , � 0 ; x � w�{D

3" � # $ � %

3& � # ' ( ) * ( R +& " �

3

� � , - gy� � ? � � , � q ; U � w�ID

Page 56: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;E

3� � � � � �

3� � � � � � R �� � � gy�\XX � , � q ; U� U � w��D

3� � � � � � R �� � � � , � 7 ; � w�PD

R �� � � # � � w � � R �� � D, � 7 ; �, i ; � � � � �, i W) 7 w��D

R �� � � (, � 7 ; �, i ; � � � � � w�YD

G� sII s R8sjj }�tsj�k ���8� & � � � PB� s{{�}�$t� s }s�Y 7 }sRR�t��� Bt }s�Y i� bY�t

7 W) i� stI $t{jZI� �Y$R $t �Y� BA`�{�$%� PZt{�$Bt� qY$R �tRZ��R �Ys� $t st B}�$8sj RBjZ�$Bt

�s{Y }s�Y I�8stI $R Rs�$Rh�I Bt �Ys� }s�Y $�R�jP� $P {s}s{$�k }��8$�R� !tjk bY�t �Y��� $R

tB� �tBZ�Y {s}s{$�k Bt �Ys� }s�Y b$jj �Y� �-{�RR }s�Y I�8stI wR}$jjD A� �BZ��I �B B�Y��

}s�YR Ys%$t� Rjs{, {s}s{$�k� 3Z��Y��8B��� R$8$js� �B �Y$R �BI�j d %s�$s�$Bt� b� {st ��}js{�

�Y� I�8stI 8sts��8�t� {BtR��s$t�R $t �BI�jR ; stI x b$�Y {BtR��s$t�R w�IDuw�YD b$�Y

BA%$BZR 8BI$h{s�$BtR $t %s�$sAj� I�ht$�$Bt�

!AR��%� �Ys� sR tB��I sAB%�� %s�$sAj�R R �� � ��P�� �B �Y� I�8stI Bt }s�Y 7 �Ys� $R 4Bbt

ws{{�}��ID Bt }s�Y 7� PB� 7 ; �� qYZR� �Y� R}�{$sj {sR� BP **iTi b$�Y # � � ) (,�7 ; �, i ;

�wL � , Q � D, i W) 7, ��IZ{�R �B �Y� AsR${ 8BI�j **i w**iT D�

Page 57: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

]Ys}��� ;

�BI�j 7��Z{�Z�� VtsjkR$R

yt �Y$R {Ys}���� b� R�ZIk �Y� }BjkY�I�sj R��Z{�Z�� BP �Y� **i 8BI�j �B �-}jB�� bskR

PB� �$�Y��t$t� $�R ��}��R�t�s�$Bt stI PB� I��$%$t� {���s$t {jsRR�R BP %sj$I $t�JZsj$�$�R� yt

7�{�$Bt ;�d� b� }��R�t� R�%��sj �tYst{�I ��}��R�t�s�$BtR BP �Y� **i 8BI�j� stI ��t��s��

%sj$I $t�JZsj$�$�R PB� $�� yt 7�{�$Bt ;�1� b� I��$%� s {jsRR BP %sj$I $t�JZsj$�$�R �Ys� k$�jI

Ps{��R BP �Y� {Bt%�- YZjj BP RBjZ�$BtR P�sR$Aj� �B s RZAR��Z{�Z�� BP **iT � !t �Y� B�Y��

YstI� 7�{�$Bt ;�n I$��{�jk {BtR��Z{�R �Y� �t�$�� {Bt%�- YZjj I�R{�$}�$Bt PB� �Y$R RZAR��Z{�Z���

;�d q$�Y��t$t� i�}��R�t�s�$Bt BP stI zsj$I yt�JZsj$�$�R PB�

�BI�j **i

]BtR$I�� �Y� PBjjBb$t� 8BI�j PB� **iT PB� Ps8$jk > w$t �Y� �R�sAj$RY�I tB�s�$BtDU

**iT �BI�j PB� 3s8$jk >U

�s-$8$9�3� � �

W � R ��

3� � � �

3� � � �

��� � ? � � wMsD

RZA`�{� �B

;�

Page 58: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;M

3� � � � ? � � ) d, � q ; U � wMAD

3

� � � � KW � � ? � � L3

� � K/� � r � ) (, �z ; ] � , �0 ; x � wM{D

3

� � � � ? � � L3

� � � � r� � \ � , � 0 ; x � wMID

3 � � � � �

R �3

� � � � gy�� ? � � , � q ; U � wM�D

3 � � � � �

R � gy�\XX � , � q ; U� U � wMPD

R � , � 7 ; � wM�D

w?, r, RD � (, wMYD

? K7zy�r3 wM$D

;�d�d q$�Y��t$t� i�}��R�t�s�$Bt BP wM�D�

]BtR$I�� �Y� PBjjBb$t� ��RZj� �Ys� }��R{�$A�R s �$�Y��� %sj$I ��}js{�8�t� PB� �Y� R�� BP

{BtR��s$t�R wM�D�

_�B}BR$�$Bt d qY� PBjjBb$t� R�� BP {BtR��s$t�R s�� s %sj$I� �$�Y��� ��}js{�8�t� PB� wM�DU

3 � � � � �

R �3

� � � � K� � � ? � � , � q ; U � , w�sD

bY���

K� � � ) E7z \gy� � ,3

� � � � � i, � q ; U � , 0 ; x � 3 w�AD

_�BBPU ]j�s�jk� w�sD $R �$�Y��� �Yst w$���� s� j�sR� sR �$�Y� sRD wM�D� qB �R�sAj$RY %sj$I$�k� $� $R

RZ^{$�t� �B RYBb �Ys� PB� stk P�sR$Aj� RBjZ�$Bt w�?, �r, �RD �B wMD� b� Ys%� �Ys� w�sD $R Rs�$Rh�I�

]BtR$I�� stk q ; U � � stI tB�$t� wMAD�wM$D� RZ}}BR� �Ys� �? � � � ) d� RB �Ys�� � � � � � �

�R�

� gy� � � �

Page 59: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

;�

yP K� � � � # gy� � � � �Y�t w�sD $R Rs�$Rh�I� !�Y��b$R�� b� Ys%� �Ys� �Y� �$�Y�TYstI R$I� BP w�sD

PB� ? ) �? $R �$%�t Ak wZR$t� wM�DD

K� � � � #3

� � � � � � � �

3� � � � � �

�R �

B� �Ys� s�s$t� w�sD $R Rs�$Rh�I� qY$R {B8}j���R �Y� }�BBP� (

e-s8}j� d

]BtR$I�� s **i }�BAj�8 PB� Ps8$jk > $t bY${Y �Y��� s�� 1 �k}�R �B A� sRR$�t�I �B ;

j��R� qY� t��bB�, R��Z{�Z�� $R RYBbt $t 3$�Z�� x� WB�� �Ys� �s{Y �k}� YsR s {B}k BP �Y$R

Rs8� t��bB�,� RB Btjk Bt� $R RYBbt $t �Y� h�Z��� 7B8� BP �Y� $8}B��st� }s�s8����R s��U

qk}�R $t Ps8$jk >U x � ) \d, 1i�

qk}�R $t �Y� �t�$�� 4���U x ) \d, 1, ni� bY��� n $R s �k}� P�B8 RB8� B�Y�� Ps8$jk�

N��R sRR$�t�I �B Ps8$jk >U U � ) \qd, q1, qn, q;i� $tI�-�I Ak d �Y�BZ�Y ;�

N��R sRR$�t�I �B �Y� �t�$�� 4���U U ) U � � \qxi�

]s}s{$�$�R PB� �Y� �bB �k}�RU gy� ) n(, gy� ) M(�

yt sII$�$Bt� �Y� }s�YR }sRR$t� �Y�BZ�Y �s{Y j�� s�� j$R��I $t �Y� h�Z��� *�8stIR PB�

�Y� t$t� }s�YR s��U wd1� d�� M� 1E� dd� ;(� d�� x� n;D�

G� �-s8$t� q ) ; ; U � � qY� {BtR��s$t� wM�D $R �$%�t Ak

R � L R � � n(? � L M(? � wd(sD

3�B8 w�AD� tB�$t� �Ys�

3� � � � � �

� ) � L � ) 1E L d� ) ;x,

Page 60: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

x(

1 l1 6 l1-l22 l2 7 l3-l43 l3 8 l2-l54 l4 9 l1-l2-l55 l5

Path index Legs Path index Legs

A1

A6

B2

C3

l1

l2

l3C4

Z

l4

G1

G2

G3

G4 G6

G5

B5

l5

3$�Z�� xU Vt yjjZR��s�$%� e-s8}j� PB� �Y� **i _�BAj�8�

Page 61: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

xd

b� ��� K� � � ) n( stI K� � � ) ;x� <�t{�� w�sD k$�jIR s �$�Y��� ��}��R�t�s�$Bt �Yst wd(sD sR

�$%�t Ak

R � L R � � n(? � � L ;x? � � 3 wd(AD

WB�� �Ys� $t �Y� {Bt�$tZBZR wP�s{�$BtsjD ��js-s�$Bt RBjZ�$Bt �B wMD PB� �Y$R ��R� {sR�� b� Ys%�

R � ) 1E, R � ) d�, ? � � ) (3�, stI ? � � ) (3n3 qYZR� wd(AD I�j���R �Y$R RBjZ�$Bt wR$t{� �Y�

j�P�TYstI R$I� $t wd(AD $R ;x� bY$j� �Y� �$�Y�TYstI R$I� $R n;�x s� �Y$R RBjZ�$BtD�

<�t{�PB��Y� b� sRRZ8� �Ys� �BI�j **iT $t wMD YsR A��t }��}�B{�RR�I ZR$t� �Y� PBjT

jBb$t� �bB R��}RU

7��} dU 3B� �s{Y 7 ; �� h�R� ��}js{� � b$�Y

8$t\ � , gy�\XX � � q ; wU� U � D U 7 ; �wqD, 8s-� � wgy� � D $P 7 ; �wqD PB� RB8� q ; U � i wddD

WB��U qY$R sRRZ8�R �Ys� �s{Y �k}� 0 ; x � $R s%s$jsAj� PB� �s{Y j�� q ; U � �

7��} 1U qY�t s}}jk _�B}BR$�$Bt d �B I��$%� {BtR��s$t�R w�sD %$s w�AD�

e-s8}j� 1

7Z}}BR� �Ys� PB� RB8� q ; U � � b� Ys%� �Y� {BtR��s$t�

R � L R � � ;? � � L ? � � , wd1sD

bY���

( � R � � 1, ( � R � � 13 wd1AD

Page 62: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

x1

qY�t� _�B}BR$�$Bt d �$%�R tB PZ��Y�� ��IZ{�$Bt BP {B�^{$�t�R $t wd1sD AsR�I Bt wd1AD�

<Bb�%��� RZ}}BR� �Ys� b� sjRB Ys%� �Y� ��R��${�$Bt PB� RB8� q ; U� U � �Ys�

R � L R � � d3 wd1{D

qY�t Ak wddD� ZR$t� wd1{D� b� {st ��IZ{� �Y� Z}}�� ABZtIR $t wd1AD �B � ) d� stI � ) d�

stI �Y�t _�B}BR$�$Bt d }��8$�R ZR �B �$�Y��t wd1sD �B

R � L R � � 1? � � L ? � � 3 wd1ID

;�d�1 p�t��sj$9�I ]B�^{$�t� i�IZ{�$Bt =R$t� p�t��sj$9�I =}}�� BZtI

wp= D 7Z��B�s�� ]BtR��s$t�R

7Z}}BR� �Ys� b� RBj%� �Y� {Bt�$tZBZR ��js-s�$Bt BP **iT wY�t{�PB��Y� b� b$jj sRRZ8� �Ys�

wMD YsR A��t }��}�B{�RR�I ZR$t� �Y� }�B{�IZ�� I�R{�$A�I $t 7�{�$Bt ;�d�dD� stI b� BA�s$t

s P�s{�$Btsj RBjZ�$Bt� ]BtR$I�� s R�j�{�$Bt BP {BtR��s$t�R $t w�sD stI wMPD� stI j�� U�� g U �

A� �Y� R�� BP j��R {B���R}BtI$t� �B �Y� R�j�{��I {BtR��s$t�R $t w�sD� =R$t� {BtR��s$t� 8Zj�$T

}j$��R sR �$%�t Ak �Y� {B���R}BtI$t� B}�$8sj IZsj 8Zj�$}j$��R� j�� ZR {BtR��Z{� s RZ��B�s��

{BtR��s$t� BP �Y� PBjjBb$t� �k}�U

3

� � � � �>

3 � �

y � ? � H �3� � �

K � R � � K wdnD

bY��� y � � ( � wq, 0D, K � � ( � 7� stI K � ( s�� �Y� {B���R}BtI$t� I��$%�I RZ��B�s��

{BtR��s$t� {B�^{$�t�R� qY$R RZ��B�s�� {BtR��s$t� wdnD 8$�Y� A� {BtR��Z{��I ZR$t� sjj �Y�

{BtR��s$t�R $t w�sD stI wMPD� B� $� 8$�Y� A� s RZ��B�s�� BP Btjk �Y� {BtR��s$t�R w�sD� B� stk

RZAR�� �Y���BP� bY��� �Y� js���� $t{jZI�R �Y� {sR� bY�t wdnD $R R$8}jk �$%�t Ak w�sD PB� RB8�

}s��${Zjs� q ; U � � N��

y � � ) E7z7E`E \y � U 0 ; x � i, � q ; U�

� wd;D

Page 63: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

xn

stI j��

K ) Ey?7E`E \3� � � K � R � � K � U RB8� {Bt�$tZBZR N_ ��js-s�$Bt BP **iT i3 wdxD

WB�� P�B8 wMAD �Ys� $P

3� � � � � y � � � K,

�Y�t wdnD bBZjI A� $8}j$�I $t �Y� {Bt�$tZBZR R�tR� Ak wMAD stI wMYD� stI $R tB� BP $t����R�

ws {B�^{$�t� ��IZ{�$Bt BP �s{Y y � � �B y � � � PB� �s{Y q ; U �� ��IZ{�R �B s ��IZtIst� {BtR��s$t�

$t �Y� {Bt�$tZBZR R�tR�D� <�t{�� RZ}}BR� �Ys�

3� � � � � y � � c K3 wdED

3Z��Y��8B��� PB� �s{Y q ; U �� {B8}Z��

� ) K �3

� � � � � � �� � y� � � �q ; U �, wd�D

stI {BtR$I�� �Y� PBjjBb$t� ��RZj��

_�B}BR$�$Bt 1 p$%�t wd;D T wd�D� �Y� PBjjBb$t� $R s %sj$I $t�JZsj$�k PB� **iT U

3� � � � �

3� � � � >E7z \y � � , � iH? � � �

3� � � K � R � � K � 3 wdMD

_�BBPU ]BtR$I�� stk P�sR$Aj� RBjZ�$Bt w�?, �r, �RD �B **i� y� $R RZ^{$�t� �B RYBb �Ys� w�?, �RD

Rs�$Rh�R wdMD� WB�$t� �Ys� w�?, �RD $R P�sR$Aj� �B �Y� RZ��B�s�� {BtR��s$t� wdnD� $P y � � � � � wq, 0D

RZ{Y �Ys� �? � � ) d� �Y�t wdMD $R sjRB Rs�$Rh�I� <�t{�� RZ}}BR� �Ys� PB� RB8� q � ; U � � � b� Ys%�

�Ys� �? � � � � ) d� bY���

y � � � � k � � 3 wd�D

Page 64: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

x;

Z� tB�� �Ys� PB� �s{Y q ; U � � � b� Ys%� P�B8 wdED stI wd�D �Ys�

y � � � c K �3

� � � � � �� �y� � ) � �q ; U � � w1(D

stI RB� P�B8 wd;D stI w1(D� b� Ys%��

E7z \y � � � , � i # y � � � � E7z \y � � , � i � 0 ; x � , � q ; U � � 3 w1dD

]BtR�JZ�t�jk� ZR$t� w1dD� b� Ys%� �Ys� �Y� j�P�TYstI R$I� BP wdMD s� �Y� RBjZ�$Bt w�?, �RD $R�

tB�$t� wdxD stI wd�D�

� y � � � � L3

� � � � � �� � �y � � � k � � L

3

� � � � � �� � �y � � � ) K �

3� � �

K � �R � � K �

B� �Ys� wdMD $R Rs�$Rh�I� qY$R {B8}j���R �Y� }�BBP� (

e-s8}j� n

]BtR$I�� �Y� PBjjBb$t� RZAR�� BP **iT {BtR��s$t�R BP �k}� w�sD stI wMPD�

wq ) dD U R � L R � � ? � � L d

n? � � w11sD

wq ) 1D U R � L R � � ? � � L n

;? � � w11AD

wq ) nD U R � L R � � ? � � L n

;? � � w11{D

wq ) ; ; U � U � D U R � L R � L R � � d w11ID

( � R � � d �7 w11�D

stI bY���

? � � L ? � � ) d, ? � � L ? � � ) d, ? � � L ? � � ) d, w11PD

? � (3 w11�D

Page 65: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

xx

]BtR$I�� �Y� RZ��B�s�� PB�8�I Ak� � � � � � � � � � � � � � � � �

� U

wd

1? � � L

d

E? � � D L w

d

1? � � L

n

M? � � D L w

d

1? � � L

n

M? � � D � wR � L R � L R � D3 w1nD

WB�$t� w11ID� b� {st ZR� K ) d $t w1nD wP�B8 wdxDD� V{{B�I$t�jk� tB�$t� �Ys�

�3 �

y � � )d

EL

n

ML

n

M)

dd

d1c K # d

sR ��JZ$��I Ak wdED� b� ��� P�B8 wd�D �Ys�

� ) d �n

;)

d

;, � ) d �

dn

1;)

dd

1;, stI � ) d �

dn

1;)

dd

1;3 w1;D

<�t{�� P�B8 w1nD stI w1;D� b� ��� �Ys� wdMD BP _�B}BR$�$Bt 1 �$%�R

wd

;? � � L

d

E? � � D L w

dd

1;? � � L

n

M? � � D L w

dd

1;? � � L

n

M? � � D � wR � L R � L R � D3 w1xD

!AR��%� �Ys� �Y� RBjZ�$Bt

R � ) R � )d

;, R � )

d

1, w? � � )

d

;, ? � � )

n

;D, w? � � ) (, ? � � ) dD, w? � � ) (, ? � � ) dD w1ED

$R s P�s{�$Btsj %����- BP w11D ws� bY${Y �Y� j$t�s�jk $tI�}�tI�t� {BtR��s$t�R w11sDTw11ID�

w11PD� stI ? � � ) ? � � ) ( P�B8 w11�D s�� A$tI$t�D� <Bb�%��� �Y� j�P�TYstI R$I� BP w1xD s�

�Y$R RBjZ�$Bt $R� � � bY${Y $R j�RR �Yst �Y� �$�Y�TYstI R$I� %sjZ� BP d� <�t{� w1xD I�j���R �Y$R

P�s{�$Btsj %����-�

e-s8}j� ;

V 8B�� R��s$�Y�PB�bs�I s}}j${s�$Bt BP _�B}BR$�$Bt 1 PB� �Y� {sR� BP s R$t�j� {BtR��s$t� $�R�jP

BP �k}� w�sD $R sR PBjjBbR� ]BtR$I�� �Y� RkR��8 BP {BtR��s$t�RU

wq ; U � D U R � L R �� 1? � L

n

;? � w1�sD

Page 66: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

xE

wq ; U � U � D U R � L R � � d w1�AD

( � R � � d �7 w1�{D

bY��� ? � � L ? � � ) d, ? � (3 w1�ID

!AR��%� �Ys� ���s�$t� w1�sD $�R�jP sR �Y� XRZ��B�s��" wdnD� b� Ys%� P�B8 wdxD stI w1�AD

�Ys� s }��8$RR$Aj� %sjZ� BP K �JZsjR d� V{{B�I$t�jk� � # K ) d� stI ZR$t� wdMD BP _�B}BR$T

�$Bt 1� b� {st �$�Y��t w1�sD �B

R � L R � � ? � � Ln

;? � � w1MD

!AR��%� �Ys� �Y� P�s{�$Btsj RBjZ�$Bt

R � ) d, R � ) (, w? � � )d

x, ? � � )

;

xD w1�D

$R s P�sR$Aj� %����- BP w1�D� AZ� $R {Z� B& Ak w1MD�

i�8s�, d

yt ��t��sj� $� 8$�Y� A� ZR�PZj �B s}}jk _�B}BR$�$Bt 1 �B �s{Y $tI$%$IZsj {BtR��s$t� w�sD�

�s�Y�� �Yst s}}jk $� �B s R$t�j� RZ��B�s�� {BtR��s$t� BP �k}� wdMD� qY� ��sI�B& $R �Ys� �Y�

tZ8A�� BP N_ }�BAj�8R BP �Y� �k}� wdxD $t{��sR�R� sj�YBZ�Y �Y� �&B�� {BZjI A� ��IZ{�I Ak

8s,$t� �Y$R ��js-s�$Bt R$8}j��� !t� sj���ts�$%� $R �B ZR� �Y� R$8}j� ��js-s�$Bt ( � R � � � �7

$t wdxD stI s{{B�I$t�jk I�ht� K )�

� � � K � � � K � �

;�d�n i�}js{$t� wM�D b$�Y s q$�Y��� 7�� BP zsj$I yt�JZsj$�$�R

]BtR$I�� �Y� PBjjBb$t� ��RZj�U

Page 67: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

x�

_�B}BR$�$Bt n qY� PBjjBb$t� s�� %sj$I $t�JZsj$�$�R PB� **iT

R � �3

� � � �E7z\ � , K� � � i? � � � 7 ; �wqD, � q ; U � wn(D

�B��B%��� ZR$t� wn(D b$�Y$t **iT {sZR�R wM�D �B A� $8}j$�I $t �Y� {Bt�$tZBZR R�tR�

wY�t{�� �Y� js���� {st �Y�t A� I�j���ID PB� sjj 7 ;

� � � � �wqD�

_�BBPU ]BtR$I�� stk P�sR$Aj� RBjZ�$Bt w�?, �r, �FD �B **iT � stI j�� ZR RYBb �Ys� wn(D YBjI

��Z�� ]BtR$I�� stk q ; U � � stI �-s8$t� stk 7 ; �wqD� yP �? � � � ) d $t wMAD bY��� 0

; x � �

�Y�t P�B8 w�sD� wM�D� stI wMYD b� Ys%� �Ys� �R � � K� � � � stI �R � � � � B� �Ys�

�R � � E7z\ � , K� � � � i #3

� � � �E7z\ � , K� � � i�? � � 3

<�t{� wn(D $R Rs�$Rh�I� stI �Y���PB��� $� I�ht�R s %sj$I $t�JZsj$�k PB� �s{Y 7 ; �wqD, q ; U � �

�B��B%��� R$t{� P�B8 wMAD stI wMYD b� Ys%��

3� � � �

E7z\ � , K� � � i? � � �3

� � � � � ? � � ) �

�Y$R sRR���R �Ys� wMAD� wMYD� stI wn(D $8}jk wM�D $t �Y� {Bt�$tZBZR R�tR� � 7 ;

� � � � �wqD3

qY$R {B8}j���R �Y� }�BBP� (

e-s8}j� x

]BtR$I�� �Y� PBjjBb$t� RkR��8 BP {BtR��s$t�R BP �k}� wMAD� w�sD� wM�D� stI wMYD PB� RB8�

q ; U � U

? � L ? � � ) d wndsD

R L R � � ? � L ;? � � wndAD

Page 68: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

xM

R � � 1, R � � 1 wnd{D

w?, RD � (3 wndID

WB�� �Ys� �Y� RBjZ�$Bt

w|? � � , |? � � , |R � , |R � D ) w1bn, dbn, 1, (D wn1D

$R s wP�s{�$BtsjD �-���8� }B$t� BP wndD sR �%$I�t{�I Ak �Y� PBZ� j$t�s�jk $tI�}�tI�t� Yk}��T

}jst�R wndsD� wndAD� R � ) 1 P�B8 wnd{D stI R � ) ( P�B8 wndID A�$t� A$tI$t� s� �Y$R P�sR$Aj�

RBjZ�$Bt� WB�� �Ys� �Y� $t�JZsj$�$�R wn(D PB� �Y$R �-s8}j� s�� �$%�t Ak

R � � ? � � L 1? � � stI R � � ? � � L 1? � � 3 wnnD

yt }s��${Zjs�� �Y� h�R� BP �Y�R� {Z�R B& �Y� P�s{�$Btsj %����- wn1D�

qY� {Bt�$tZBZR ��js-s�$Bt RBjZ�$Bt �B e-s8}j� d sP��� s}}jk$t� _�B}BR$�$Bt wdD �$%�R

w|? � � , |? � � , |? � � , |? � � D ) w(3xE, (3;;, (3M, (31D,

stI |R � ) ;(� ]BtR��Z{�$t� %sj$I $t�JZsj$�$�R wn(D PB� q ) d� q ) 1 stI 7 ) E k$�jIRU

R � � E7z\ � , K� � � i? � � LE7z\ � , K� � � i? � � ) n(? � � L ;(? � �

stI

R � � E7z\ � , K� � � i? � � LE7z\ � , K� � � i? � � ) n(? � � L ;(? � � 3

qY� �$�Y�TYstI R$I�R BP �Y�R� �bB $t�JZsj$�$�R s�� n; stI n1� ��R}�{�$%�jk� <�t{�� R$t{�

|R � ) ;(� �Y�R� t�b {BtR��s$t�R {Z� B& �Y� PB���B$t� P�s{�$Btsj RBjZ�$Bt�

i�8s�, 1

Page 69: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

x�

yt ��t��sj Bt� bBZjI Btjk ��t��s�� wn(D PB� �YBR� {sR�R �Ys� IB tB� R$8}jk k$�jI wM�D $�R�jP�

stI ,��} �Y�R� sjBt� b$�Y wM�D PB� �Y� ��8s$t$t� {sR�R� w7�� i�8s�, n A�jBb D

;�1 p�t��sj$9�I ]jsRR BP 3s{��$sj zsj$I yt�JZsj$�$�R

�B�$%s��I Ak e-s8}j� x stI _�B}BR$�$Bt n� b� tBb I��$%� s {jsRR BP %sj$I $t�JZsj$�$�R

�Ys� ��t��sj$9�R wn(D� stI {st $t Ps{� A� I�8BtR��s��I �B k$�jI Ps{��R BP �Y� {Bt%�- YZjj BP

RBjZ�$BtR P�sR$Aj� �B s RZAR��Z{�Z�� BP **iT �

qBbs�I �Y$R �tI� PB� stk q ; U � � j��

. � ) \w? � � PB� 0 ; x � , R � PB� 7 ; �wqDD U

3

� � � �? � � ) d wn;sD

3

� � � � � R � �

3

� � � �K� � � ? � � wn;AD

R � � � �7 ; �wqD wn;{D

R � (, ? A$ts�ki3 wn;ID

N�� �. � I�tB�� �Y� {Bt�$tZBZR ��js-s�$Bt BP . � � N�� ZR R�j�{� stk { g �wqD RZ{Y �Ys�

+w{D ) \0 ; x � U K� � � c3

� � � i W) �3 wnxsD

wejR�� $P K� � � ��

� � � � � � � 0 ; x � � �Y�t wn;AD $R $8}j$�I Ak wn;sD� wn;{D stI �Y� tBtt��s�$%$�k

{BtR��s$t�R $t �Y� {Bt�$tZBZR R�tR�� stI �Y�t� {Bt%\. � i # �. � $�R�jP�D VjRB� j�� �+w{D #

x � � +w{D� stI sRRZ8� �Ys� �Y��� �-$R�R s

|0 ; �+w{D PB� bY${Y K� � �� k3

� � � 3 wnxAD

]BtR$I�� �Y� PBjjBb$t� ��RZj��

Page 70: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

E(

_�B}BR$�$Bt ; 3B� stk q ; U � � j�� . � A� I�ht�I Ak wn;D� stI {BtR$I�� stk { g �wqD

RZ{Y �Ys� +w{D I�ht�I Ak wnxsD $R tBt�8}�k� stI |0 I�ht�I Ak wnxAD �-$R�R� qY�t� �Y�

PBjjBb$t� $t�JZsj$�k $R %sj$I PB� . � wstI Y�t{� PB� **iT D� stI $R 8B��B%�� Ps{��TI�ht$t�

PB� �Lz8w. � DU

3

� � � � � �K� � � ? � � L >

3� � �

� H3

� � � � � �? � � �

3� � �

R � 3 wnED

_�BBPU wzsj$I$�kUD ]BtR$I�� stk P�sR$Aj� RBjZ�$Bt w�?, �RD ; . � stI j�� ZR %��$Pk �Ys� �Y$R

RBjZ�$Bt $R P�sR$Aj� �B wnED� WB�$t� wn;s� n;ID� RZ}}BR� �Ys� �? � � ) d stI �? � � # ( � 0 W) 0 � �

yP 0 � ; +w{D� �Y�t P�B8 wn;A� n;ID b� ��� �Ys�

K� � � �3

� � � � � ��R � �

3� � �

�R �

B� �Ys� wnED $R Rs�$Rh�I� yP 0 � ; �+w{D� �Y�t P�B8 wn;{D b� ���

3� � �

� �3

� � ��R �

B� �Ys� s�s$t wnED $R Rs�$Rh�I� <�t{�� wnED $R %sj$I�

w3s{��TI�ht$t�UD qB RYBb �Ys� wnED I�ht�R s Ps{�� BP {Bt%w. � D� I�tB�$t� /x � / ) z

stI /�wqD/ ) E� j�� ZR �-Y$A$� �Y� �-$R��t{� BP RB8� wE L z � dD j$t�s�jk wstI Y�t{��

s^t�jkD $tI�}�tI�t� }B$t�R $t . � s� bY${Y wnED $R A$tI$t�� qY$R bBZjI �Y�t $tI${s�� �Ys�

�Y� $t���R�{�$Bt BP {Bt%w. � D stI �Y� Yk}��}jst� {B���R}BtI$t� �B wnED wsR st �JZsj$�kD $R

wE L z � 1D� stI R$t{� . � YsR s P�sR$Aj� RBjZ�$Bt s� bY${Y wnED $R $ts{�$%� wPB� �-s8}j��

stk P�sR$Aj� RBjZ�$Bt Ys%$t� R # (D� �Y$R bBZjI sRR��� �Ys� I$8\{Bt%w. � Di � wE L z � dD�

<Bb�%��� IZ� �B �Y� �JZsj$�k wn;sD� b� ,tBb �Ys� I$8\{Bt%w. � Di � wE L z � dD� qY$R $t

�Z�t bBZjI �R�sAj$RY �Ys� I$8\{Bt%w. � Di ) wELz� dD stI �Ys� wnED I�ht�R s }�B}�� Ps{��

BP {Bt%w. � D�

Page 71: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

Ed

qBbs�I �Y$R �tI� }${, stk 0 � ; +w{D W) �� stI {BtR$I�� �Y� PBjjBb$t� {Bjj�{�$Bt BP

wE L z � dD }B$t�R� �s{Y I�ht$t� s }s��${Zjs� �Bb BP �Y� 8s��$- 4 �$%�t $t wn�D B%�� �Y�

R��R y� yy� yyy� stI yz w�Y�R� s�� �-}js$t�I $t �Y� R�JZ�jD� }jZR s IZ88k }B$t� I�ht$t� �Y�

jsR� �Bb BP 4� WB�� �Ys� 4 $R s RJZs�� 8s��$- BP R$9� wE L zD� stI �Ys� �{ # �wqD � { $R �Y�

{B8}j�8�t� BP y�

zs�$sAj�R bYBR� %sjZ�R s�� $I�t�$h�I $t �s{Y �Bb BP 4

4 )

? � � � ? � � PB� 0 ; +w{D ? � � PB� 0 ; �+w{D R � PB� 7 ; { R � PB� 7 ; �{

0 W) 0 � w$t{jZI$t� ? � �� D

7�� y

w/{/ }B$t�RD

d���

d

( ( Id (

7�� yy

w/+w{D/ � d }B$t�RD( { ( I1 (

7�� yyy

w/�+w{D/ }B$t�RD( ( { In (

7�� yz

w/�{/ }B$t�RD( ( I; Ix 6 N {

7$t�j� IZ88k }B$t� d ( ��� ( ( ��� ( ( ��� ( ( ��� (

wn�D

7�� yU qY$R $R {B8}�$R�I BP /{/ }B$t�R P�sR$Aj� �B . � s� bY${Y wnED $R A$tI$t� sR PBjjBbR�

Page 72: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

E1

]BtR$I�� �Y� RkR��8

3

� � � R� ) K� � � � wnMsD

( � R � � � �7 ; {3 wnMAD

WB�� �Ys� R$t{� 0�

; +w{D� b� Ys%� P�B8 wnxD �Ys�

( c K� � � � c3

� � � � 3 wn�D

<�t{�� wnMD $R P�sR$Aj�� stI 8B��B%��� �Y� }B$t� |R # w|R � , 7 ; {D bY���

|R � )� �

� � � � �

=

N K� � � � � 7 ; {, w;(D

Rs�$Rh�R wnMsD b$�Y ( c |R � c � , � 7 ; { $t wnMAD� <�t{�� R$t{� �Y� I$8�tR$Bt BP �Y�

Yk}��{ZA� I�ht�I Ak wnMAD $R /{/� stI R$t{� |R $R s P�sR$Aj� RBjZ�$Bt jk$t� Bt �Y� Yk}��}jst�

wnMsD �Ys� $R $t���$B� �B �Y$R Yk}��{ZA�� b� Ys%� �Ys� �Y� I$8�tR$Bt BP wnMD $R /{/�d� <�t{��

R$t{� �Y� B�$�$t j$�R B& �Y� }jst� wnMsD� �Y��� �-$R� s {Bjj�{�$Bt BP /{/ j$t�s�jk $tI�}�tI�t�

}B$t�R wR � , 7 ; {D P�sR$Aj� �B wnMD� N�� �Y�R� }B$t�R I�ht� �Y� �BbR BP �Y� /{/ /{/ 8s��$-

I � � qY$R }�BIZ{�R �Y� }B$t�R I�ht$t� 7�� y $t wn�D�

7�� yyU es{Y BP �Y� }B$t�R $t �Y$R R�� s�� I�ht�I Ak {BtR$I��$t� $t �Z�t �s{Y 0 ;

+w{D, 0 W) 0�� stI R���$t� ? � � ) d $t wn;D stI htI$t� s RBjZ�$Bt R RZ{Y �Ys�

� � � � R � ) K� � � �

bY$j� R � ) ( �7 ; �{� qY$R $R }BRR$Aj� R$t{� P�B8 wnxD� b� Ys%� K� � � c � � � � � � *�ht$t� �Y�

�BbR BP I s{{B�I$t�jk� 7�� yy {Bt�s$tR /+w{D/ � d }B$t�R P�B8 . � s� bY${Y wnED $R A$tI$t��

7�� yyyU qY�R� s�� s R�� BP /�+w{D/ P�sR$Aj� }B$t�R $t . � s� bY${Y wnED $R A$tI$t�� bY���

�s{Y �Bb BP I $R $I�t�${sjjk �JZsj �B w � , 7 ; {D� wWB�� �Ys� P�sR$A$j$�k �B . � PBjjBbR P�B8

wnxD R$t{� K� � � �� � � � � � 0 ; �+w{D�D

Page 73: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

En

7�� yzU qY$R {Bjj�{�$Bt BP /�{/ }B$t�R $t . � s� bY${Y wnED $R A$tI$t� s�� I�ht�I sR PBjjBbR�

es{Y BP �Y�R� }B$t�R YsR ? � �� ) d stI �Y� ��8s$t$t� %s�$sAj�R 9��BR� k$�jI$t� �Y� 8s��$- I � �

stI YsR R � ) � � 7 ; {� k$�jI$t� �Y� 8s��$- I � � <�t{�� wnED $R A$tI$t� s� �s{Y BP �Y�R�

}B$t�R� $t }s��${Zjs�� 3Z��Y��8B��� tB�$t� P�B8 wnxAD �Ys� K� � �� k�

� � � � � �Y��� �-$R�R st

6 k ( RZ{Y �Ys� Ak �s,$t� R � ) 6 PB� �s{Y 7 ; �{ $t �Z�t b$�Y �Y� ��8s$t$t� R � ) ( PB�

i ; {, i W) 7� b� bBZjI s{Y$�%� P�sR$A$j$�k BP �s{Y BP �Y�R� }B$t�R �B . � �

qB {B8}j��� �Y� }�BBP� b� �-Y$A$� j$t�s� $tI�}�tI�t{� BP �Y� R�� BP E L z � d }B$t�R

I�ht$t� �Y� �BbR BP 4 b$�Y$t �Y� R��R y� yy� yyy� stI yz Ak I�8BtR��s�$t� �Ys� 4 $R tBtT

R$t�Zjs�� qBbs�I �Y$R �tI� {BtR$I�� �Y� RkR��8 4 ) ( bY��� ) w � , , , � , � D $R

}s��$�$Bt�I w$t�B RZA%�{�B�R � , 333 � D s{{B�I$t� �B �Y� ��R}�{�$%� h%� R��R BP {BjZ8tR BP 4

$I�t�$h�I $t wn�D� stI j�� ZR RYBb �Ys� �Y$R RkR��8 YsR s Zt$JZ� RBjZ�$Bt �$%�t Ak # (�

3�B8 7�� y� j���$t� � I�tB�� s %�{�B� BP /{/ Bt�R� stI tB�$t� �Ys� I ��

� �-$R�R� b� ���

w�D � LI � � ) ( L� � ) �I ��

� w�D � 3 w;dsD

7$8$js�jk� 7��R yy� yyy stI yz ��R}�{�$%�jk k$�jI

) �I � ) >I I ��

� �H � w;dAD

) �I � ) >I I ��

� �H � w;d{D

stI 6 � ) �I � � I � � , L� � ) wdb6D>�I � I I ��

� �LI � I ��

� �H � 3 w;dID

Z� �Y� htsj �JZs�$Bt k$�jIR � # (� stI Y�t{� P�B8 w;dD� b� Ys%� # ( sR �Y� Zt$JZ�

RBjZ�$Bt� qY$R {B8}j���R �Y� }�BBP� (

i�8s�, n

Page 74: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

E;

WB�� �Y� ��j�%st{� BP �Y� �-$R��t{� BP |0 $t wnxAD PB� wnED �B A� Ps{��$sj� !�Y��b$R�� tB�$t�

wnxsD� $t {sR� �+w{D W) �� b� bBZjI Ys%� K� � � #� � � �

PB� sjj 0 ; �+w{D� stI �Y�t� �Y�

{B���R}BtI$t� w%sj$ID $t�JZsj$�k wnED bBZjI A� $8}j$�I w$t �Y� {Bt�$tZBZR R�tR�D Ak wn;AD

stI R � (�

i�8s�, ;

WB�� �Ys� wn(D $R s R}�{$sj {sR� BP wnED PB� �Y� {sR� BP /{/ ) d� yt �Y$R {sR�� $P �Y��� �-$R�R

s 0�

; x � Ys%$t� K� � � � c �

stI s |0 ; x � Ys%$t� K� � �� k �� �Y�t wnxD YBjIR ��Z�� stI �Y�t Ak

_�B}BR$�$Bt ;� wn(D bBZjI I�ht� s Ps{�� BP {Bt%w. � D� qY$R bsR �Y� {sR� PB� e-s8}j� x�

e-s8}j� E

]BtR$I�� s R�� . � BP eJZs�$Bt wn;D I�ht�I sR PBjjBbRU

. � ) \w? � , ? � , R , R , R � , R � D U

? � L ? � ) d w;1sD

R L R L R � L R � � ? � L ;? � w;1AD

R�

� d �7 ) d, 333, ; w;1{D

R � (, ? A$ts�ki3 w;1ID

WB�� �Ys� �Y� RBjZ�$Bt w|?, |RD �$%�t Ak

|? � ) 1bn, |? � ) dbn, |R ) |R ) d, |R � ) |R � ) ( w;nD

Page 75: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

Ex

I�ht�R s P�s{�$Btsj %����- BP �Y� {Bt�$tZBZR ��js-s�$Bt �. � BP . � wsR �%$I�t{�I Ak �Y� E

j$t�s�jk $tI�}�tI�t� s{�$%� {BtR��s$t�R �$%�t Ak w;1sD� w;1AD� w;1{D PB� 7 ) d, 1� stI wR � (

$t w;1ID PB� 7 ) n, ;D� !AR��%� �Ys� Ak i�8s�, ; b� IB tB� Ys%� stk Ps{��$sj {BtR��s$t�R BP

�k}� wn(DwB� wnED b$�Y /{/ ) dD� yt Ps{�� wn(D ��IZ{�R �B w;1{D � 7 ) d, 333, ;� <Bb�%��� ZR$t�

{ ) \d, 1i, +w{D ) \di, �+w{D ) \1i, w;;D

b� R�� �Ys� wnxsD stI wnxAD s�� Rs�$Rh�I stI b� I��$%� �Y� {B���R}BtI$t� Ps{��$sj %sj$I

$t�JZsj$�k wnED sR

? � � L 1? � � � R � L R � 3 w;xD

!AR��%� �Ys� w;xD I�j���R �Y� P�s{�$Btsj RBjZ�$Bt w;nD�

yt ��t��sj� �$%�t s P�s{�$Btsj RBjZ�$Bt �B �Y� {Bt�$tZBZR ��js-s�$Bt BP **iT � b� {BZjI

I�%�jB} s R�}s�s�$Bt �BZ�$t� �B wY�Z�$R�${sjjkD ��t��s�� s %sj$I $t�JZsj$�k BP �k}� wnED $t

B�I�� �B I�j��� �Y� �$%�t P�s{�$Btsj RBjZ�$Bt w|?, |RD� Rsk� $P }BRR$Aj�� G� {BZjI �-s8$t� �s{Y

q ; U � $t �Z�t PB� bY${Y �Y� {B���R}BtI$t� %s�$sAj�R w? � � , 0 ; x � D s�� tB� A$ts�k %sjZ�I� 3B�

stk RZ{Y q� Ys%$t� R�j�{��I RB8� { g �wqD� BAR��%� �Ys� �Y� %sj$I $t�JZsj$�k wnED $R BP �Y�

PB�8

3

� � � �8$t\K� � � ,

3� �

� i? � � �3

� � R � w;ED

G� bBZjI j$,� �B R�j�{� �Ys� { g �wqD PB� bY${Y w;ED bBZjI A� %$Bjs��I Ak �Y� �$%�t

P�s{�$Btsj RBjZ�$Bt w|?, |RD �B sR ���s� st �-��t� sR }BRR$Aj�� *�tB�$t�

x

� ) \0 ; x � U |? � � k (i, w;�D

b� b$RY �B 8s-$8$9� wAk I����8$t$t� { g �wqDDU

3� �

|R � �3

� � � ��

8$t\K� � � ,3

� � � i|? � � 3 w;MD

Page 76: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

EE

*�ht$t� A$ts�k %s�$sAj�R

� � )+ d, $P 7 ; {

(, B�Y��b$R�� 7 ; �wqD, w;�D

b� {BtR$I�� �Y� PBjjBb$t� R�}s�s�$Bt }�BAj�8� AsR�I Bt w;MD�

7_wjD U-y?7E7F�\� � � � � � ��

� � � �|R � � � �

� � ��|? � 8$t\K� � , �

� � � � � � � ii

3 wx(D

_�B}BR$�$Bt x

�jBb sRR���R �Ys� �Y$R R�}s�s�$Bt }�BAj�8 {st A� �JZ$%sj�t�jk RBj%�I sR 7_:wjD� bY���

� � � 0 ; x �� stI # � � � 7 ; �wqD stI 0 ; x �� s�� sZ-$j$s�k {Bt�$tZBZR %s�$sAj�R�

7_ � wjD U -y?7E7F�3

� � � �|R � � � �

3

� � ��|? � > K� � � � L

3

� � � � � w� � � # � � DH wxdsD

X`Ki��0 0L

( � # � � � � � � 7 ; �wqD, 0 ; x �� wxdAD

( � w� � � # � � D � wd� � � D � 7 ; �wqD, 0 ; x �� wxd{D

� K7zy�r3 wxdID

]BtR$I�� s�s$t e-s8}j� E� WB�$t� �Ys� |? � ) 1bn, |? � ) dbn, |R � ) |R � ) d, |R � ) |R � )

(, � ) � ) � ) � ) d, stI K� � � ) d, K� � � ) ;� b� {st PB�8Zjs�� �Y� {B���R}BtI$t� Ch � wqD

}�BAj�8 wxdD sR PBjjBbRU

-y?7E7F� � � L � � �

1

n> � � L

�3� � �

w� �� # � � DH �

d

n> ; � � L

�3� � �

w� �� # � � DH wx1sD

Page 77: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

E�

X`Ki��0 0L U

( � # � � � � � 7 ) d, 333, ;, 0 ) d, 1 wx1AD

( � w� � � # � � D � wd � � � D 7 ) d, 333, ;, 0 ) d, 1 wx1{D

� K7zy�r3 wx1ID

qY� N_ ��js-s�$Bt BP Ch�wqD $�R�jP k$�jIR st B}�$8sj $t����� RBjZ�$Bt � � ) d, � � ) 1, � � )

d, � � ) (, � � ) � � ) d, stI � � ) � � ) (� qY� {B���R}BtI$t� � %�{�B� k$�jIR { ) \d, 1i�

stI ��t��s��R �Y� %sj$I $t�JZsj$�k w;EDU ? � � L 1? � � � R � L R � � bY${Y {B$t{$I�R b$�Y w;xD sR

$t e-s8}j� E�

_�B}BR$�$Bt E N�� w��, �

�, #

�D A� st B}�$8sj RBjZ�$Bt PB� wxdD� qY�t �

�RBj%�R 7_wjD

b$�Y s {B88Bt BA`�{�$%� %sjZ� "��

_�BBPU ]BtR$I�� stk A$ts�k %�{�B� ��� stI j�� { ) \7 ; �wqD U �� � ) di stI �{ ) �wqD � {�

!AR��%� �Ys� wxdAD stI wxd{D sRR��� �Ys�

# � � ) � � � 7 ; { stI # � � ) ( � 7 ; �{, PB� �s{Y 0 ; x

wxnD

t�{�RRs�$jk YBjIR ��Z�� <�t{�� PB� � ) �� h-�I� _�BAj�8 Ch�wqD ��IZ{�R �B

-y?7E7F�3

� � �|R � �

3

� � ��|? � � > K� � � � � L wd � � � D

3� � �

� H wx;sD

X`Ki��0 0L ( � � � � d � 0 ; x�

� 3 wx;AD

7$t{� |? � � k ( � 0 ; x�

� � �Y� B}�$8sj BA`�{�$%� %sjZ� PB� wx;D $R

3� � �

|R � �3

� � � ��|? � � 8$t\K� � � ,

3� � �

� i3 wxxD

WB�$t� �Ys� �Y� BA`�{�$%� %sjZ� wxxD $R �Y� Rs8� sR �Ys� BA�s$t�I PB� Ch wqD $t wx(D Ak h-$t�

� ) ��� stI R$t{� �Y$R $R ��Z� PB� sjj RZ{Y A$ts�k %�{�B�R ��� �Y� }�BBP $R {B8}j���� (

Page 78: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

EM

i�8s�, x

!AR��%� �Ys� �Y� PBjjBb$t� s�� %sj$I $t�JZsj$�$�R PB� Ch�wqDU

3� � � � � �

� # � � � K� � � � � �0 ; x � wxEsD

3� � � � � �

� w� � � # � � D � K� � � wd � � � D �0 ; x � wxEAD

A�{sZR� �Y�k ��R}�{�$%�jk sRR��� �Ys� �Y� {B�^{$�t� BP |? � � $t wxdsD RYBZjI A� j�RR �Yst B�

�JZsj �B� � � � � � � � � � � stI j�RR �Yst B� �JZsj �B K� � � sR $t wx(D� yt Ps{�� $� $R �sRk �B %��$Pk

�Ys� Ak $t{jZI$t� wxED $t�B wxdD� PB� stk A$ts�k %�{�B� ��� b� bBZjI t�{{�RRs�$jk Ys%� Ak

W�yX7K7q70r �Ys� � � # d $P� � � � k K� � � stI � � # ( $P

� � � � c K� � � wbY��� { $R sR I�ht�I $t �Y�

}�BBP BP _�B}BR$�$Bt E� stI bY��� stk %sjZ� BP � � ; >(, dH $R �JZ$%sj�t� bY�t� � � � ) K� � � D�

<Bb�%��� R$t{� �Y� BA`�{�$%� PZt{�$Bt BP Ch�wqD }��PB�8R �Y$R Rs8� PZt{�$Bt sR $t wx;sD� b�

Ys%� {YBR�t �B B8$� �Y�R� {BtR��s$t�R�

G� tBb RYBb �Ys� �Y� N_ ��js-s�$Bt BP wxdD sZ�B8s�${sjjk k$�jIR B}�$8sj $t����� RBjZT

�$BtR�

_�B}BR$�$Bt � qY� N_ ��js-s�$Bt BP R�}s�s�$Bt }�BAj�8 Ch�wqD k$�jIR B}�$8sj $t����� RBT

jZ�$BtR�

_�BBPU qY� }�BAj�8 {st A� ��stRPB�8�I $t�BU

-y?7E7F�3

� � � � � � w|R � � � D� � �3

� � � � |? � � w

3� � � � � �

� # � � � K� � � � � D

X`Ki��0 0L

# � � � � � � 7 ; �wqD, 0 ; x � wx�D

# � � � � � � 7 ; �wqD, 0 ; x � wxMD

Page 79: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

E�

� � � # � � � d � � � � 7 ; �wqD, 0 ; x�

� wx�D

( � � � � d � 7, #, � � (3 wE(D

3$�R� tB�� �Ys� �Y$R }�BAj�8 $R �JZ$%sj�t� �B wbY��� wW, /, _D � ( DU

-y?7E7F� �3

� � � � � �W � � � �

3

� � �/ � � � L

3

� � � � � �

3

� � �_ � � # � �

X`Ki��0 0L

# � � � � � � 7 ; �wqD, 0 ; x�

� wEdD

# � � � � � � 7 ; �wqD, 0 ; x�

� wE1D

( � � � � d � 7 ; �wqD, ( � � � � d � 0 ; x�

� , wEnD

A�{sZR� s� B}�$8sj$�k� b� bBZjI Ys%� # � � ) 8$t\� � , � � i �w7, 0D {sZR� BP BA`�{�$%� PZt{�$Bt

stI $t �$�Y�� {sR�� wx�D bBZjI A� Rs�$Rh�I A�{sZR� BP wEnD� <Bb�%��� s� �-���8� }B$t�R BP

wEdDuwEnD� stk s{�$%� {BtR��s$t�R $t wEdD B� wE1D Btjk I����8$t� #T%s�$sAj� %sjZ�R $t ���8R

BP �Y� �T stI �T%s�$sAj�� �R�sAj$RY$t� �JZsj$�$�R s8Bt� R��R BP �Y� �T stI �T %s�$sAj�R� bY$j�

�Y�R� js���� %s�$sAj� %sjZ�R s�� �Y�t t�{�RRs�$jk I����8$t�I Ak s{�$%� {BtR��s$t�R P�B8 wEnD�

<�t{�� sjj %s�$sAj�R s�� (Td s� �-���8� }B$t�R� qY$R {B8}j���R �Y� }�BBP� (

;�n *$��{� ]BtR��Z{�$Bt BP {Bt%\.qi

yt �Y$R R�{�$Bt� b� I�8BtR��s�� YBb �B I$��{�jk {BtR��Z{� �Y� �t�$�� {Bt%�- YZjj BP . � � bY${Y

bBZjI �Y�t sZ�B8s�${sjjk $8}jk �Y� �t�$�� Ps8$jk BP %sj$I $t�JZsj$�$�R wnED w$t sII$�$Bt �B

B�Y��RD� qY$R ��}��R�t�s�$Bt $R {BtR��Z{��I $t s Y$�Y�� I$8�tR$Bt �Ys� $t%Bj%�R s I$Rs����T

�s�$Bt BP �Y� %s�$sAj�R R � PB� 7 ; �wqD $t�B {B8}Bt�t�R < � � � � 0 ; x � � �$%�t stk q ; U � �

Page 80: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�(

]BtR$I�� �Y� PBjjBb$t� ��RZj��

_�B}BR$�$Bt M N�� . � A� �$%�t Ak wn;D PB� stk q ; U � � qY�t {Bt%\. � i # .�

� � bY���

.�

� )\w? � � PB� 0 ; x � , R � PB� 7 ; �wqDD U

3

� � � �? � � ) d wE;sD

3

� � � � < � � � � K� � � ? � � � 0 ; x � wE;AD

< � � � � � ? � � � 7 ; �wqD, 0 ; x � wE;{D

R � )3

� � � �< � � � � 7 ; �wqD wE;ID

? � � � ( � 0 ; x �

< � � � � ( � 7 ; �wqD, 0 ; x � i3 wE;�D

_�BBPU N�� ZR h�R� RYBb �Ys� . � g .�

� � p$%�t stk w�?, �RD ; . � � I�ht�

�< � � � ) �R � �? � � 7 ; �wqD, 0 ; x � 3 wExD

qY�t Ak I$��{� RZAR�$�Z�$Bt� $� $R ��sI$jk %��$h�I �Ys� w�?, �R, �<D Rs�$Rh�R wE;sTE;�D� <�t{��

. � g .�

� � qB {B8}j��� �Y� }�BBP� $� $R RZ^{$�t� �B RYBb �Ys� s� �s{Y �-���8� }B$t� w|?, |R, |<D

BP .�

� � b� t�{�RRs�$jk Ys%� �Ys� |? $R A$ts�k b$�Y w|?, |RD ; . � �

qBbs�I �Y$R �tI� {BtR$I�� �Y� j$t�s� }�B��s88$t� }�BAj�8 �B

8s-$8$9� \� � N ? L � � N R U w?, RD ; .�

� i wEED

PB� stk BA`�{�$%� ��sI$�t� %�{�B� w� � , � � D PB� bY${Y wEED YsR s Zt$JZ� B}�$8Z8� N�� ZR RYBb

�Ys� �Y$R B}�$8Z8 w|?, |RD� Rsk� YsR |? t�{�RRs�$jk A$ts�k %sjZ�I b$�Y w|?, |RD ; . � � qB RBj%�

wEED� tB�� �Ys� b� {BZjI h�R� RZAR�$�Z�� BZ� PB� R $t ���8R BP < ZR$t� wE;ID� W�-�� BAR��%�

Page 81: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�d

P�B8 wE;A� E;{D �Ys� PB� �s{Y 0 ; x � � �Y�R� {BtR��s$t�R s�� R�}s�sAj� $t �Y� ��R}�{�$%� R��R

BP %s�$sAj�R w< � � � , 7 ; �wqDD� stI 8B��B%��� �s{Y BP �Y�R� R�}s�sAj� {BtR��s$t�R Ys%� �Y�$�

�$�Y�TYstI R$I�R R{sj�I Ak ? � � � <�t{�� Ak N_ IZsj$�k� �Y� B}�$8sj %sjZ�R BP < � � � {st A�

BA�s$t�I sR j$t�s� PZt{�$BtR BP ? � � � 7 ; �wqD� PB� �s{Y 0 ; x � � qY���PB��� �Y� j$t�s� }�B��s8

wEED �&�{�$%�jk ��IZ{�R �B

8s-$8$9� \�� �

N ? U3

� � � �? � � ) d, ? � (i wE�D

PB� RB8� BA`�{�$%� %�{�B� �� �� 7$t{� wEED YsR A��t sRRZ8�I �B Ys%� s Zt$JZ� B}�$8Z8� �Y�t

RB IB�R wE�D� WB�$t� �Y� R��Z{�Z�� BP wE�D� �Y$R RBjZ�$Bt 8ZR� A� BP �Y� PB�8

|? � � ) d stI |? � � ) ( � 0 ; x � � \0i, PB� RB8� 0

; x � 3 wEMD

<�t{�� |? $R A$ts�k %sjZ�I s� �s{Y �-���8� }B$t� w|?, |R, |<D BP .�� � �B��B%��� �$%�t wEMD� tB��

P�B8 wE;{DTwE;�D �Ys�

|< � � � # ( � 7 ; �wqD, 0 ; x � � \0i, stI RB� |R � # |< � � � � 7 ; �wqD3 wE�D

<�t{�� P�B8 wE;{D� wE;AD stI wE�D� b� Ys%�

( � |R � � � � 7 ; �wqD, stI3

� � � � �|R � ) 3

� � � � �|< � � � � K� � � )

3

� � � �K� � � |? � � w�(D

stI RB� P�B8 wEMD stI w�(D� b� Ys%� �Ys� w|?, |RD ; . � � qY$R {B8}j���R �Y� }�BBP� (

V}}jk$t� _�B}BR$�$Bt M� �Y� **iT �BI�j {st A� �$�Y��t�I �Y�BZ�Y �Y� R�s��I }s��$sj

{Bt%�- YZjj {BtR��Z{�$Bt }�B{�RR sR PBjjBbR� bY${Y b� ��P�� �B sR �BI�j **iT �U

�BI�j **iT �PB� 3s8$jk >U

�s-$8$9�

3

� � �W � R � �

3

� � � �3

� � � �� � � � ? � � w�dsD

Page 82: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�1

RZA`�{� �B

3� � � �

? � � ) d, � q ; U � w�dAD

3

� � � �KW � � ? � � L

3

� � K/ � � r � ) (, �z ; ] � ,�0 ; x � w�d{D

3

� � � � ? � � L

3

� � � � r � � \ � , � 0 ; x � w�dID

3 � � � � �

< � � � K� � � ? � � , � 0 ; x � , � q ; U � w�d�D

3 � � � � �

R � gy�\XX � , � q ; U� U � w�dPD

< � � � ? � � , � q ; U � , 7 ; �wqD, 0 ; x � w�d�D

R )3

� � � �< � � , � q ; U � , 7 ; �wqD w�dYD

w?, r, R,<D � (, ? K7zy�r3 w�d$D

i�8s�, E

GY$j� b� Ys%� }�B%$I�I s I$��{� }�BBP BP _�B}BR$�$Bt M sAB%� PB� �Y� Rs,� BP {B8}j���t�RR�

tB�� �Ys� �Y� {Bt%�- YZjj ��}��R�t�s�$Bt wE;D {st sj���ts�$%�jk A� I��$%�I Ak s}}jk$t� �Y�

R}�{$sj p= TR��Z{�Z��I iNq s}}�Bs{Y I�R{�$A�I Ak 7Y��sj$ �� sj� wd��MD� 3Z��Y��8B��� tB��

�Ys� wnED {st A� I��$%�I Ak RZ��B�s�$t� wE;AD PB� 0 ; +w{D� �$%�t wnxsD� stI wE;{D PB� 7 ; {

stI 0 ; �+w{D� stI �Y�t ZR$t� wE;ID sjBt� b$�Y < � (� �B��B%��� b$�Y wnxAD sjRB YBjI$t�

��Z�� Bt� {st %��$Pk �Ys� �Y�R� RZ��B�s�� 8Zj�$}j$��R {B���R}BtI �B st �-���8� I$��{�$Bt BP

�Y� sRRB{$s��I }�B`�{�$Bt {Bt�� �Y���Ak }�B%$I$t� st sj���ts�$%� }�BBP PB� _�B}BR$�$Bt ;�

<Bb�%��� b� Ys%� }��P����I �B sIB}� �Y� 8B�� I$��{� R�jPT{Bt�s$t�I s}}�Bs{Y sAB%� PB� �Y�

Rs,� BP {js�$�k�

Page 83: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

]Ys}��� x

WZ8��${sj e-}��$8�t�R

V$�j$t� {B8}st$�R �k}${sjjk Ys%� js��� 4$�Y� t��bB�,R� qY� tZ8A�� BP 4$�Y�R $t �s{Y Ps8T

$jk stI �Y� �B�sj tZ8A�� BP 4$�Y�R PB� stk {s��$�� {st �sR$jk ��s{Y YZtI��IR stI �%�t B%��

�YBZRstIR� j�� sjBt� �Y� tZ8A�� BP }s�YR PB�8�I Ak �Y�R� 4$�Y�R� bY${Y {st A� ��tR BP �YBZT

RstIR� ]BtR$I��$t� �Y� js��� R$9�R BP ��sj j$P� t��bB�,R� RBj%$t� **iT I$��{�jk sR st �y_ $R

ZRZsjjk $8}jsZR$Aj�� yt �Y$R {Ys}���� b� $t%�R�$�s�� YBb �B �^{$�t�jk s}}jk �Y� }�B}BR$�$BtR

R�s��I $t �Y� }��%$BZR {Ys}��� RB �Ys� ��js�$%�jk js���� }�BAj�8R {st A� RBj%�I s� s ��sj$R�${

{BR�� yt 7�{�$Bt x�d� b� I�R{�$A� BZ� tZ8��${sj �-}��$8�t�sj I�R$�t� yt 7�{�$Bt x�1� b� $tT

��BIZ{� �Y� }��j$8$ts�k }�B{�IZ��R I�R$�t�I �B s}}jk �Y� %s�$BZR }�B}BR$�$BtR� stI �-}jB��

I$&���t� ��js��I s}}�Bs{Y�R� yt 7�{�$Bt x�n� b� RZ88s�$9� �Y� }�B{�IZ��R $t 7�{�$Bt x�1

Ak }�B}BR$t� s Y�Z�$R�${ 8��YBI stI st B}�$8sj$�k 8��YBI �B RBj%� }�s{�${sjTR$9�I **i

}�BAj�8R PB� I��$%$t� �BBI JZsj$�k RBjZ�$BtR $t st s{{�}�sAj� �$8� P�s8��

�n

Page 84: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�;

x�d e-}��$8�t�sj *�R$�t

qB ��R� �Y� �^{$�t{k BP I$&���t� s}}�Bs{Y�R� b� ZR� ��sj$R�${� Yk}B�Y��${sj �stIB8jk ��t��T

s��I 4$�Y� t��bB�,R� es{Y 4$�Y� $R ��t��s��I Ak �stIB8jk R�j�{�$t� s I�}s��Z�� R�s�$Bt stI

st s��$%sj R�s�$Bt P�B8 s R�s�$Bt }BBj� *�}s��Z�� �$8�R stI 4$�Y� IZ�s�$BtR s�� Zt$PB�8jk

��t��s��I� sR�I Bt st BAR��%s�$Bt BP st s$�j$t�:R 4$�Y� Is�s� bY${Y $tI${s�� �Ys� sjj �Y�

4$�Y�R s�� }s$��I A��b��t R�s�$BtR� PB� �s{Y �stIB8jk ��t��s��I 4$�Y�� b� {��s�� stB�Y��

4$�Y� I�}s��$t� P�B8 $�R s��$%sj R�s�$Bt stI s��$%$t� s� $�R I�}s��Z�� R�s�$Bt� qY� �bB 4$�Y�R

Ys%� �Y� Rs8� 4$�Y� IZ�s�$Bt� AZ� �Y� I�}s��Z�� �$8�R s�� $tI�}�tI�t� %s�$sAj�R Zt$PB�8jk

I$R��$AZ��I b$�Y$t 1; YBZ�R� GY��Y�� �Y$R }s$� BP 4$�Y�R $R $t �Y� I�R$�ts��I Ps8$jk B� tB�

$R s�A$��s�$jk I����8$t�I�

3j$�Y�R s�� ��t��s��I Zt�$j RB8� }��TR}�{$h�I j$8$� $R ��s{Y�I� _s�YR {BtR$R�$t� Z}

�B �Y��� j��R s�� �Y�t PB�8�I AsR�I Bt �Y$R R��� bY��� �s{Y 4$�Y� $R �s,�t sR s R$t�j�Tj��

}s�Y� k R�s�{Y$t� �s{Y 4$�Y�:R I�}s��Z�� R�s�$Bt� �bBTj�� }s�YR s�� PB�8�I $P stB�Y�� 4$�Y�

s��$%�R s� �Y$R R�s�$Bt s� s �$8� �s�j$�� �Yst �Y� I�}s��Z�� �$8� BP �Y� I�}s��$t� 4$�Y� stI

�Y� �bB 4$�Y�R IB tB� PB�8 s {k{j�� $���� �Y� s��$%$t� 4$�Y�:R I�}s��Z�� R�s�$Bt $R I$&���t�

P�B8 �Y� I�}s��$t� 4$�Y�:R s��$%sj R�s�$Bt� V �Y���Tj�� }s�Y $R PB�8�I $t s R$8$js� bsk Ak

%$�b$t� s �bBTj�� }s�Y sR Bt� s�����s��I X4$�Y�"� yt �Y�R� ��t��s��I ��R� }�BAj�8R� Ztj�RR

R}�{$h�I B�Y��b$R�� b� sRRZ8� PBZ� �k}�R BP s$�{�sP� $t �Y� Ps8$jk� b$�Y js���� {s}s{$�$�R

Ys%$t� Y$�Y�� B}��s�$t� {BR�R�

=R$t� �Y$R R{Y�8s� b� ��t��s��I �Y��� R��R BP ��R� t��bB�,R� qYBR� $t �Y� h�R� R�� s��

��js�$%�jk R8sjj $t R$9�� qY�k Ys%� s 8s-$8Z8 BP d1( 4$�Y�R $t �B�sj stI tB 8B�� �Yst

x( 4$�Y�R $t �Y� Ps8$jk� qY� I�8stIR PB� �Y�R� }�BAj�8R s�� Zt$PB�8jk ��t��s��I� qY$R

Page 85: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�x

}�BAj�8 R�� $R {B8}�$R�I BP h%� ��BZ}R� �s{Y Ys%$t� n( t��bB�,R� qY� ��BZ}R s�� I$%$I�I

8s$tjk s{{B�I$t� �B �Y� tZ8A�� BP 4$�Y�R $t �B�sj� stI $t �Y� jsR� �bB {sR�R� sjRB AsR�I Bt

�Y� I$R��$AZ�$Bt BP �Y� }s�Y I�8stIR� qY� }�BAj�8R $t p�BZ}R d� 1� stI n Ys%� E(� �(�

stI dd( 4$�Y�R� ��R}�{�$%�jk� yt �Y�R� }�BAj�8R� �Y� R8sjj�R� �k}� YsR s {s}s{$�k Zt$PB�8jk

I$R��$AZ��I A��b��t ;( stI �x� stI �s{Y �k}� YsR 1( R�s�R j�RR �Yst �Y� $88�I$s��jk js����

�k}�� qY� }�BAj�8R $t ��BZ}R ; stI x }�BAj�8R Ys%� d(( stI d1( 4$�Y�R ��R}�{�$%�jk�

stI $t sII$�$Bt� s�� sRR$�t�I I$&���t� }s�Y I�8stIR T PB� p�BZ} ;� �Y� }s�Y I�8stIR s��

Zt$PB�8jk I$R��$AZ��I A��b��t ( stI E� stI �Y� {s}s{$�$�R BP �Y� s$�{�sP� $t �Y� Ps8$jk �st��

P�B8 ;( �B d1x� bY$j� PB� p�BZ} x� �Y� }s�Y I�8stIR s�� A��b��t dx stI 1x� stI �Y�

{s}s{$�$�R �st�� P�B8 n( �B d(x� ]BR�R BP sRR$�t$t� I$&���t� �k}�R BP s$�{�sP� R�s�� P�B8 s

8�st BP cE((( PB� �Y� R8sjj�R� �k}�� stI $t{��sR�R PB� �s{Y js���� �k}� Ak s 8�st BP cd(((�

7�stIs�I I�%$s�$BtR BP �Y�R� {BR�R s�� �s,�t �B A� c;((� qY� 4$�Y� Ps��R s�� sRRZ8�I �B

A� Zt$PB�8jk I$R��$AZ��I A��b��t cdx( stI cdx((� _s�YR {BtR$R�$t� BP 8B�� j��R ��tI �B A�

8B�� �-}�tR$%�� es{Y sII$�$Btsj j�� $R sRRZ8�I �B k$�jI s 8�st �-��s BP c1(( $t �Y� 4$�Y�

Ps���

qY� R�{BtI R�� {BtR$R�R BP xd js���� }�BAj�8R� qY�k s�� I$%$I�I $t�B �Y��� ��BZ}R

s{{B�I$t� �B �Y� tZ8A�� BP 4$�Y�R $t �B�sjU dx(� 1((� stI ;((� <sjP BP �Y� �B�sj 4$�Y�R s��

�s,�t �B A�jBt� �B �Y� I�R$�ts��I Ps8$jk� qY� h�R� �bB ��BZ}R Ys%� PBZ� 4$�Y� {B8}BR$�$Bt

t��bB�,R �s{Y� b$�Y �s{Y t��bB�, A�$t� ZR�I �B ��t��s�� R$- I$&���t� %��R$BtR BP �Y� }�BAj�8

Ak s{{B88BIs�$t� I$&���t� tB�8sjjk I$R��$AZ��I I�8stIR� qY�R� R$- %��R$BtR Ys%� 8�st

I�8stIR BP x� M� stI dx� �s{Y A�$t� }s$��I b$�Y s {B�^{$�t� BP %s�$s�$Bt BP (�dx stI (�;x�

W��s�$%� I�8stIR s�� ��Zt{s��I stI ��R�� �B (� qY� {s}s{$�$�R PB� �Y�R� �bB ��BZ}R s��

Page 86: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�E

I�{$I�I R$8$js� �B �Y� 7�� d }�BAj�8R b$�Y �Y� �-{�}�$Bt �Ys� �Y� tZ8A��R BP R�s�R I$&�� Ak

dx A��b��t �Y� sI`s{�t� �k}�R� qY� �Y$�I ��BZ} YsR Btjk �Y��� t��bB�,R� �s{Y ��t��s�$t�

Bt� }�BAj�8 Ys%$t� s 8�st BP x stI s {B�^{$�t� BP %s�$s�$Bt BP (�dx PB� I�8stIR� qY�

�Y��� }�BAj�8R Ys%� {s}s{$�$�R \;(� xx� �(� Mxi� \E(� �x� �(� d(xi� stI \�x� �(� d(x� d1(i�

��R}�{�$%�jk� ]BR�R stI Ps��R s�� I�{$I�I $t �Y� R$8$js� bsk sR $t �Y� 7�� d }�BAj�8R�

!Z� �-}��$8�t�R h�R� {BtR$I�� �Y� 7�� d }�BAj�8R� qY� I$&���t� s}}�Bs{Y�R s�� hj����I

BZ� P�B8 PZ��Y�� {BtR$I��s�$Bt $P �Y�k k$�jI }BB� ��RZj�R PB� �Y�R� 7�� d ��R� }�BAj�8R� qY�

��R� {sR�R BP 7�� 1 s�� �Y�t ZR�I �B PZ��Y�� $t%�R�$�s�� �Y� �&�{�$%�t�RR BP �Y� 8B�� }�B8$R$t�

s}}�Bs{Y�R� stI PB� sRR�RR$t� �Y�$� }��PB�8st{� PB� I$&���t� I�8stI %sjZ�R�

qY� �Y$�I R�� YsR �bB t��bB�,R �Ys� s�� ��}��R�t�s�$%� �B �Y� ��sj R$9�I t��bB�,R $t s$�T

j$t�R� !t� t��bB�, YsR M(( 4$�Y�R stI dMd�E }s�YR $t �B�sj stI n(( 4$�Y�R $t �Y� I�R$�ts��I

Ps8$jk� qY� B�Y�� t��bB�, YsR d(E( 4$�Y�R stI nnd(x }s�YR $t �B�sj stI n�E 4$�Y�R $t �Y�

I�R$�ts��I Ps8$jk� qY� }�BAj�8R $t �Y$R R�� s�� ZR�I �B ��R� �Y� htsj }�B}BR�I s}}�Bs{Y�R�

x�1 _��j$8$ts�k e-}��$8�t�R

yt ]Ys}��� ;� b� }��R�t��I R�%��sj %sj$I $t�JZsj$�$�R �Ys� �$�Y��t �Y� N_ ��js-s�$Bt PB� �Y�

**i �y_ PB�8Zjs�$Bt� <Bb�%��� sII$t� sjj �Y� %sj$I $t�JZsj$�$�R R$8Zj�st�BZRjk $t{��sR�R

�Y� tZ8A�� BP {BtR��s$t�R $t �Y� PB�8Zjs�$Bt� bY${Y 8sk j�sI �B st sI%��R� B%��sjj �&�{��

]BtR�JZ�t�jk� b� $t%�R�$�s�� $t �Y$R R�{�$Bt s %s�$��k BP R�j�{�$Bt �Zj�R PB� �Y� }�B}BR�I %sj$I

$t�JZsj$�$�R� yt }s��${Zjs�� b� s���8}� I$&���t� bskR �B s}}jk �Y� $tI$%$IZsj }�B}BR$�$BtR

PB� �Y� 7�� d }�BAj�8R� stI R�j�{� �Y� A�R� R��s���$�R �B {s��k PB�bs�I �B PZ��Y�� ��R� ZR$t�

�Y� js���� }�BAj�8R $t 7�� 1� qY� }�BAj�8R s�� RBj%�I Ak ]_Ne� E�E�( Bt s 7=W =j��s d

Page 87: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

��

GB�,R�s�$Bt Ys%$t� 1E( � iV� stI s {jB{,TR}��I BP dE� �<9� qY� ��RZj�R s�� }��R�t��I

$t qsAj�R ; �B d1� yt �Y�R� stI �Y� PBjjBb$t� �sAj�R� X�$8�" ��P��R �B �Y� ]_= �$8� ZR�I �B

RBj%� �Y� }�BAj�8� �-{jZI$t� $t}Z� stI BZ�}Z� }�B{�RR$t� �$8�R� Vjj ]_= �$8�R s�� RYBbt

$t R�{BtIR� Ztj�RR R}�{$h�I B�Y��b$R��

!Z� �-}��$8�t�R PBjjBb �Y� PBjjBb$t� R�JZ�t{�U wdD qY� s }�$B�$ 8BI�j $8}�B%�8�t�R

s�� s���8}��I h�R�� PB{ZR$t� Bt �Y� ]_Ne� {Z�R stI Bt _�B}BR$�$BtR d stI n� qY$R $R

I$R{ZRR�I $t 7�{�$Bt x�1�d� w1D qY� {Bt%�- YZjj BP . � $R ��R��I t�-� Bt �Y� A�R� 8BI�j

P�B8 wdD� qY$R $R I�R{�$A�I $t 7�{�$Bt x�1�1� wnD zsj$I $t�JZsj$�$�R s�� �Y�t ��t��s��I

AsR�I Bt _�B}BR$�$Bt 1 stI �Y� s{{B8}stk$t� R�}s�s�$Bt }�BAj�8 RZA�BZ�$t�� qY�R� ��RZj�R

s�� }��R�t��I $t 7�{�$Bt x�1�n� qY� PB���B$t� ��R�R s�� }��PB�8�I Bt �Y� 7�� d }�BAj�8R�

!tjk �Y� 8BI�jR �Ys� k$�jI �BBI ��RZj�R s�� R�j�{��I �B ��R� Bt �Y� 7�� 1 }�BAj�8R� sR

I��s$j�I $t 7�{�$Bt x�1�;� qY� 8BR� {Ysjj�t�$t� }�BAj�8R P�B8 7�� 1 s�� R�j�{��I PB� PZ��Y��

�-s8$ts�$Bt �B $t%�R�$�s�� �Y� s}}j${s�$Bt BP ]_Ne�:R B}�$BtR b$�Y ��R}�{� �B I�R$�t$t�

A�st{Y$t� }�$B�$�$�R stI R�j�{�$t� %s�$BZR {Z� ��t��s�$Bt R{Y�8�R� 7�{�$Bt x�1�x I$R{ZRR�R

�Y� ��js��I ��RZj�R BA�s$t�I�

x�1�d V _�$B�$ �BI�j y8}�B%�8�t�

�PB�� s}}jk$t� �Y� %sj$I $t�JZsj$�$�R }��R�t��I $t �Y� }��%$BZR {Ys}���� b� ��R��I �Y� {Z�R

}�B%$I�I Ak ]_Ne� $�R�jP� ]_Ne� s}}j$�R RB8� I�PsZj� }��}�B{�RR$t� �Zj�R sjBt� b$�Y

%s�$BZR A�st{Y$t�� Ps�YB8$t�� stI As{,��s{,$t� R��s���$�R $t I�%�jB}$t� �Y� A�st{YTstIT

ABZtI ����� qY�R� I�PsZj� B}�$BtR {st A� �-}jB��I stI {Yst��I s{{B�I$t� �B �Y� }s��${Zjs�

}�BAj�8 PB� $8}�B%$t� �Y� B%��sjj }��PB�8st{�� G� h�R� �-s8$t� ]_Ne�:R {Z� ��t��s�$Bt

B}�$BtR Bt �Y� 7�� d }�BAj�8R� Ns��� PB� �Y� 7�� 1 }�BAj�8R� b� b$jj PZ��Y�� �-}jB�� %s�$BZR

Page 88: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�M

A�st{Y$t� R��s���$�R�

]_Ne� }�B%$I�R R$- B}�$BtR BP {Z�RU �q7R`��`0X w{j$JZ� $t�JZsj$�$�RD� �L8���`0X w{B%��

$t�JZsj$�$�RD� WqLj�`0X� W�y��`0X wP�s{�$Btsj $t�JZsj$�$�RD� /`K�`0X wp= $t�JZsj$�$�RD� stI

7E�q7�Q�`0X� qY�R� {Z�R s�� %sj$I $t�JZsj$�$�R �Ys� �$�Y��t �Y� {BtR��s$t�R PB� �Y� N_ ��js-T

s�$Bt bY$j� }��R��%$t� �Y� $t����� P�sR$Aj� RBjZ�$BtR� k I�PsZj�� ]_Ne� }��PB�8R $t���tsj

��R�R Bt �Y� }�BAj�8� stI s}}j$�R {Z�R bY�t �Y� ��R�R $tI${s�� �Ys� �Y� {Z�R s�� j$,�jk �B A�

A�t�h{$sj� qY� ��t��s�$Bt BP �Y�R� {Z�R {st sjRB A� R}�{$h�I Ak �Y� ZR��� G� PB�{� �Y�R�

{Z�R �B A� ��t��s��I �B R�� bY��Y�� stk {Z�R s�� }s��${Zjs�jk �&�{�$%� PB� BZ� }�BAj�8�

qsAj� ; RYBbR �Y� s%��s�� {B8}Z�s�$Btsj �$8� PB� �Y� 7�� d }�BAj�8R ZtI�� I$&���t� {Z�

B}�$BtR�

qsAj� ;U V%��s�� ]_= q$8� =tI�� *$&���t� ]_Ne� ]Z��$t� 7��s���$�R

p�BZ} ]_Ne� {j$JZ�{Z�R {B%��{Z�R 4Bb{Z�R P�s{{Z�R �ZA{Z�R $8}j$�I{Z�RI�PsZj� B& Bt B& Bt B& Bt B& Bt B& Bt B& Bt

d ��( �MM (�M� (�M� (��( (�Md (��( (��( d�d; (�M� (�M� (��d (�M�

1 n�nd n�nd n�nd n�n( n�n( 1��x n�nd n�n( ;�xx n�1M n�n( n�nd n�nd

n d;�( d;�d d;�( d;�( d;�1 d;�( d;�( d;�( d��1 d;�( d;�d d;�( d;�(

; 111 11n 111 11E 11n 11; 111 111 1x� 11� 11n 11n 111

x x�n� x�n� x�nM x�nE x�nM E�(� x�n� x�n� E�1d x�n; x�n� x�n� x�nM

3$�R�� tB ��R��${�$BtR Bt {Z�R s�� s}}j$�I� $���� Ak I�PsZj�� ]_Ne� I����8$t�R bY��Y��

�B ��t��s�� stk �k}�R BP {Z�R� qB {B8}s�� b$�Y �Y$R I�PsZj� R���$t�� �s{Y {Z� $R �Y�t �Z�t�I

B& stI Bt $t �Z�t bY$j� B�Y�� {Z�R s�� R�� sR I�PsZj�� e-}��$8�t�R $tI${s�� �Ys� �Y� Btjk

{Z� �Ys� YsR s }��{�}�$Aj� $t4Z�t{� Bt �Y� ]_= �$8� $R P�s{{Z�R� bY${Y $t{��sR�R �Y� ]_=

�$8� bY�t �Z�t�I Bt� 7$t{� �Y� I�PsZj� R��s���k b$�Y tB {Z� ��t��s�$Bt ��R��${�$BtR $R `ZR�

sR �&�{�$%� sR �Y� A�R� BP �Y�R� B}�$BtR� b� {YBBR� �B s}}jk �Y� I�PsZj� R���$t�R $t ]_Ne�

Page 89: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

��

PB� �Y� ��8s$t$t� �-}��$8�t�R ZR$t� 7�� d }�BAj�8R�

_�B}BR$�$BtR d stI n s�� �Y� 8BR� R��s$�Y�PB�bs�I �B A� �8A�II�I $t�B �Y� B�$�$tsj

**i 8BI�j stI s�� h�R� �-s8$t�I� G� ��R��I wdD �Y� B�$�$tsj **iT 8BI�j b$�YBZ�

stk }�B}BR$�$Bt ZR�I� w1D s}}jk$t� Btjk _�B}BR$�$Bt d �B �Y� B�$�$tsj 8BI�j� $���� ZR$t� �Y�

%sj$I ��}js{�8�t� $t�JZsj$�$�R $tR��sI BP �Y� B�$�$tsj {BtR��s$t�R Bt �B�sj I�8stI %��RZR

{s}s{$�k� wnD �Y� **i 8BI�j ZR$t� �Y� %sj$I ��}js{�8�t�R P�B8 _�B}BR$�$Bt d stI sjj �Y�

%sj$I $t�JZsj$�$�R ��t��s��I Ak _�B}BR$�$Bt n� stI� htsjjk� w;D ZR$t� _�B}BR$�$Bt d stI

{Bt��Bjj�I %��R$BtR BP _�B}BR$�$Bt n� bY${Y s�� I��s$j�I $t �Y� PBjjBb$t� }s�s��s}Y� qsAj� x

}��R�t�R �Y� tZ8��${sj ��RZj�R PB� �Y� ]_= �$8� stI �Y� tZ8A�� BP A�st{YTstITABZtI tBI�R

�tZ8��s��I PB� s}}�Bs{Y�R wdD stI w1D� wV}}�Bs{Y wnD bsR BAR��%�I �B A� $tP��$B� $t $t$�$sj

�ZtR� stI bsR �Y���PB�� I�B}}�I P�B8 {BtR$I��s�$Bt�D qsAj� E {B8}s��R �Y� ��RZj�R P�B8

R�%��sj {Bt��Bjj�I %��R$BtR BP _�B}BR$�$Bt n Bt ��BZ}R d �B x� i�{sjj �Ys� $P _�B}BR$�$Bt n $R

PZjjk s}}j$�I� �Y� PBjjBb$t� %sj$I $t�JZsj$�$�R s�� sII�I �B sjj �Y� }s�YR 7 ; �wqD PB� sjj �Y�

j��R q ; U � U

R � �3

� � � �E7z\ � , K� � � i? � � � 7 ; �wqD, � q ; U � 3 w�1D

qY$R $t{��sR�R �Y� tZ8A�� BP {BtR��s$t�R 8s�,�Ijk stI $R �Y� 8s`B� ��sRBt �Ys� s}}�Bs{Y

wnD $R RjBb� qY� }Z�}BR� BP s}}�Bs{Y w;D $R �B j$8$� �Y� tZ8A�� BP {BtR��s$t�R sII�I Ak

�Y� sAB%� $t�JZsj$�$�R� G� ��R��I PBZ� {�$���$s PB� R�j�{�$t� �Y� %sj$I $t�JZsj$�$�R� RYBbt $t

qsAj� E sR ]d� ]1� ]n� stI ];� Vjj BP �Y�R� B}�$BtR s}}jk _�B}BR$�$Bt d�

3$�R�jk� $t ]d� _�B}BR$�$Bt n $R s}}j$�I �B j��R q Btjk $P K � c K� � � , � 7 ; �wqD, 0 ; x3 yP

RB8� K � k K� � � � _�B}BR$�$Bt d sjBt� $R RZ^{$�t� sR $� }�B%$I�R �$�Y��� {BtR��s$t�R� <Bb�%���

�Y$R {�$���$Bt $R tB� �BB ��R��${�$%� stI R�$jj $t{��sR�R �Y� tZ8A�� BP {BtR��s$t�R R$�t$h{st�jk�

Page 90: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

M(

qsAj� xU V%��s�� ]_= q$8� stI WZ8A�� BP �st{YTstIT BZtI WBI�R b$�Y _�B}BR$�$BtRd stI n�

��BZ} !�$�$tsj **i G$�Y _�B}� d�$8� tBI� �$8� tBI�

d (�M E (��� �

1 n�(� d( n�(n d(

n dn�d1 11x d1�Mn 11x

; 1d��nx 1;�( 11(�(( 1;EM

x x�;n dd x�nE dd

qsAj� EU WZ8��${sj i�RZj�R PB� _s��$sj V}}j${s�$BtR BP _�B}BR$�$Bt n�

p�BZ} !tjk _�B}� d ]d ]1 ]n ];�$8� tBI� �$8� tBI� �$8� tBI� �$8� tBI� �$8� tBI�

d (��� � d�Ex� dd (���n dd d�xMM dd (���; dd

1 n�(n d( d;�nx � n�xn � dx�dE � n�x( �

n d1�Mn 11x ����1 1(M d��MM 1;x d(;�( 1(M d��xE 1;x

; 11(�(( 1;EM d(;M�� dM;� 1(1�1 d�n( ME��M dxd� 1(E�E d�n(

x x�nE dd dE�xx d1 x�M�n d1 d��nM d1 x�M�M d1

qY��� B�Y�� sj���ts�$%�R s�� PZ��Y�� ��R��I� yt ]1� �Y� %sj$I $t�JZsj$�k w�1D $R sII�I PB�

Btjk Bt� j�� stI Bt� }s�Y� bY��� �Y� R�j�{��I j�� YsR �Y� 8s-$8Z8 �B�sj I�8stI Bt sjj

�Y� }s�YR {�BRR$t� $�� stI �Y� R�j�{��I }s�Y YsR �Y� 8$t$8Z8 I�8stI s8Bt� �Y�R� }s�YR�

yt ]n� �Y� {�$���$Bt $R �B R�j�{� �Y� }s�YR �Ys� Ys%� �Y� 8$t$8Z8 I�8stI s8Bt� sjj �Y�

}s�YR� bY$j� s}}jk$t� tB ��R��${�$BtR �B �Y� j��R� yt ];� Bt� j�� $R R�j�{��I sR $t ]1� bY$j� sjj

}s�YR {�BRR$t� �Y$R j�� s�� R�j�{��I� qY� ��RZj�R RYBb �Ys� ]d stI ]n �$%� sj8BR� $I�t�${sj

��RZj�R bY$j� ]1 stI ]; s�� R$8$js� stI RZ}��$B� �B ]d stI ]n� qY$R 8sk $tI${s�� �Ys� �Y�

I�{$R$Bt Bt bY${Y j�� �B {YBBR� $R {�$�${sj�

qY� ��RZj�R P�B8 ZR$t� s}}�Bs{Y w1D s}}�s� �B A� �Y� A�R�� b$�Y s}}�Bs{Y wdD A�$t�

Rj$�Y�jk $tP��$B�� <���sP���� b� ZR� �Y� B�$�$tsj **i b$�Y Btjk _�B}BR$�$Bt d s}}j$�I sR s

Page 91: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

Md

AsR�j$t� �B 8�sRZ�� �Y� �^{$�t{k BP B�Y�� s}}�Bs{Y�R� Vj�YBZ�Y bY�t sII$t� �Y� {Bt��Bjj�I

%��R$BtR BP _�B}BR$�$Bt n $R tB� sR �BBI� ]1 stI ]; RYBb RB8� }�B8$R� bY�t �Y� }�BAj�8R

A�{B8� 8B�� {Ysjj�t�$t�� <�t{�� s}}�Bs{Y w1D stI s}}�Bs{Y w;D ZtI�� ]1 s�� {s��$�I

PB�bs�I PB� js��� ��R�R ZR$t� �Y� 7�� 1 }�BAj�8R�

x�1�1 ]Bt%�- <Zjj ]BtR��Z{�$Bt

i�{sjj �Ys� $t �Y� }��%$BZR {Ys}���� b� I�%�jB}�I s I$��{� {BtR��Z{�$Bt BP �Y� �t�$�� {Bt%�-

YZjj BP . � � qY$R $t%Bj%�I s I$Rs�����s�$Bt BP �Y� %s�$sAj�R R � PB� 7 ; �wqD $t�B {B8}Bt�t�R

< � � � � 0 ; x � � �$%�t stk q ; U � � <Bb�%��� sII$t� sjj �Y� +T%s�$sAj�R $t�B �Y� 8BI�j ���s�jk

$t{��sR�R �Y� }�BAj�8 R$9�� qY$R }�B8}�R ZR �B R�ZIk Btjk }s��$sj {BtR��Z{�$BtR BP �Y$R

{Bt%�- YZjj �B $t{B�}B�s�� $t�B �Y� PB�8Zjs�$Bt� wG� ��P�� �B �Y$R }s��$sj }�B{�RR $t ���8R

BP sII$t� �Y� {B���R}BtI$t� +T%s�$sAj�R $t�B �Y� 8BI�j�D

3$�R�jk� +T%s�$sAj�R s�� sII�I s }�$B�$ PB� RB8� {�$�${sj j��R $t �Y� B�$�$tsj **iT 8BI�j

A�PB�� $� $R RBj%�I sR st �y_� 3$%� �Zj�R s�� s}}j$�I $t R�j�{�$t� �Y� {�$�${sj j��R� sR RYBbt

$t {BjZ8tR 1 �B E BP qsAj� �� iZj� dU +T%s�$sAj�R s�� sII�I bY�t�

� � � � � � � k K� � � � iZj�

1U +T%s�$sAj�R s�� sII�I bY�t�

� � � � � � � c 8s- � � � gy� � � � iZj� nU +T%s�$sAj�R s�� sII�I

bY�t K� � � c�

� � � � � � � c 8s- � � � gy� � � � iZj� ;U +T%s�$sAj�R s�� sII�I PB� �Y� 4$�Y�R �Ys�

Ys%� �Y� 8s-$8Z8 �B�sj Ps�� w8s- � � � � � � W � � D� stI iZj� xU +T%s�$sAj�R s�� sII�I PB� �Y�

4$�Y�R �Ys� Ys%� �Y� 8s-$8Z8 s%��s�� Ps�� w8s- � � � � � � \ �

� � � � � � iD� i�RZj�R $tI${s�� �Ys� �Y�

R�{BtI stI �Y$�I �Zj�R s�� AB�Y %��k �BBI� <Bb�%��� js��� �-}��$8�t�R $tI${s�� �Ys� �Y�

PBZ��Y stI hP�Y �Zj�R }��PB�8 8Z{Y A����� PB� js���� }�BAj�8R�

qsAj� � sjRB RYBbR ��RZj�R P�B8 s }BR���$B�$ s}}j${s�$Bt BP �Y$R $I�s� qY� 8BI�j $R

RBj%�I $t �bB R�s��RU s� 7�s�� d� �Y� N_T��js-s�$Bt $R RBj%�I� V� 7�s�� 1� +T%s�$sAj�R s��

Page 92: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

M1

$t{B�}B�s��I PB� �Y� P�s{�$Btsj j��R stI �Y� 8BI�j $R RBj%�I sR st �y_� *Z�$t� 7�s�� 1�

b� sIB}� �bB %��R$BtRU �Y� $t����sj j��R BA�s$t�I P�B8 7�s�� d s�� tB� h-�I $t �Y� h�R�

%��R$Bt� bY$j� �Y�k s�� h-�I $t �Y� R�{BtI� GY$j� �Y� R�{BtI %��R$Bt IB�R tB� �Zs�st���

B}�$8sj$�k� $�R BA`�{�$%� %sjZ� $R %��k t�s� �B �Y� B}�$8Z8 %sjZ� $t BZ� �-}��$8�t�sj �ZtR

wR�� �Y� XBA`0" {BjZ8t bY${Y RYBbR �Y� s%��s�� }��{�t� BP �Y� BA`�{�$%� %sjZ� BA�s$t�I

�B �Y� �jBAsj B}�$8Z8 %sjZ�D� stI �Y� ]_= �$8�R s�� R8sjj�� �Yst PB� %��R$Bt d� 7�$jj AB�Y

%��R$BtR s�� �s�Y�� RjBb�

qsAj� �U V%��s�� ]_= q$8� PB� �Y� +T%s�$sAj� V}}j${s�$Bt PB� ]�$�${sj 3j$�Y�R

s }�$B�$ s }BR���$B�$��BZ} �Zj� d �Zj� 1 �Zj� n �Zj� ; �Zj� x tBt h-$t� h-$t�

�$8� �$8� �$8� �$8� �$8� �$8� BA`0 �$8�

d M�1M (��1 (��1 d��d d�(1 ;�Ex ����M n�1�

1 x;�1; n�nn n�nn M�11 ;�1M nx�;� ���ME 1x�;;

n 1;��nx dE�(; dE�(n ;��E( dM�� d�x��� ����E dxx�d�

; nE1�;1 d;1��� d;n�(n 1n;��( �;�M 1;E�;d d(( 1d(�(d

x 1n1�;d ���1 ���1 1n�M( dd�d d�n�MM ����d dxn�d;

G� sjRB s���8}��I �B $t{B�}B�s�� +T%s�$sAj�R AB�Y s }�$B�$ stI s }BR���$B�$ PB� {���s$t

{�$�${sj 4$�Y�R AsR�I Bt iZj� 1 sR I�R{�$A�I sAB%�� <���� $t �Y� R�{BtI R�s��� �Y� $t����sj

RBjZ�$BtR P�B8 7�s�� d b��� h-�I stI �Y� �y_ bsR RBj%�I b$�Y stB�Y�� ��BZ} BP +T%s�$sAj�R

$t{B�}B�s��I %$s iZj� 1� w*$&���t� bskR �B R�j�{� +T%s�$sAj�R b��� sjRB ��R��I s� 7�s�� 1�D

<Bb�%��� tBt� BP �Y�8 BZ�}��PB�8�I �Y� }Z�� s }�$B�$ %��R$Bt� 3Z��Y��8B��� sj�YBZ�Y $t

�Y� s }�$B�$ %��R$Bt� iZj�R 1 stI n }��PB�8�I b�jj Bt �Y� 7�� d }�BAj�8R� �Y$R }��PB�8st{�

I����$B�s��I bY�t �Y� t��bB�, ���b $t R$9�� yt Ps{�� PB� �Y� 7�� 1 js���� }�BAj�8R� iZj�R

; stI x }��PB�8 %��k b�jj� k$�jI$t� �Y� A�R� ��RZj�R $t {���s$t {B8A$ts�$BtR BP R��s���$�R�

<�t{�� b� ��{B88�tI �Y� PB���B$t� B}�$BtR Btjk PB� ��js�$%�jk R8sjjTR$9�I }�BAj�8R BP �Y�

Page 93: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

Mn

�k}� {Bt�s$t�I $t 7�� d�

x�1�n p�t��s�$Bt BP zsj$I yt�JZsj$�$�R

i�RZj�R P�B8 $8}j�8�t�$t� �Y� R�}s�s�$Bt }�BAj�8R AsR�I Bt _�B}BR$�$Bt n s�� RYBbt $t

qsAj� M� stI s�� {B8}s��I b$�Y �Y� **iT 8BI�j� qbB %��R$BtR BP �Y$R s}}�Bs{Y b���

qsAj� MU V%��s�� ]_= q$8� PB� �Y� 7�}s�s�$Bt _�BAj�8 V}}j${s�$Bt

p�BZ} 7_ 7_1 **i

d d�xd d��( (���

1 x�x� x�1E 1�Mn

n 1(�;� d��dn dn�xx

; ���x� �E�nx 1dM�nd

x dx�(1 d;�;d x�EM

��R��I� yt �Y� %��R$Bt 7_� b� R$8}jk RBj%�I �Y� R�}s�s�$Bt }�BAj�8� stI ��t��s��I �Y�

sRRB{$s��I {Z� $P Bt� bsR BA�s$t�I w$���� �Y� BA`�{�$%� %sjZ� BP �Y� R�}s�s�$Bt }�BAj�8 bsR

}BR$�$%�D� qY� ��%$R�I N_ RBjZ�$Bt bsR �Y�t P�I As{, $t�B �Y� R�}s�s�$Bt }�BAj�8 PB� ��t��T

s�$t� stB�Y�� {Z�� qY$R jBB} bsR ��}�s��I Zt�$j tB {Z� bsR ��t��s��I P�B8 �Y� R�}s�s�$Bt

}�BAj�8 RZA�BZ�$t�� yt �Y� R�{BtI %��R$Bt {sjj�I 7_1� s p= {Z� ��t��s��I P�B8 _�B}BT

R$�$Bt 1 bsR sjRB �8A�II�I $t�B �Y� PB���B$t� 7_ s}}�Bs{Y� 3$�R�� �Y� R�}s�s�$Bt �BZ�$t�

bsR ZR�I �B ��t��s�� s {Z� stI �B Z}Is�� �Y� {B���R}BtI$t� **i 8BI�j N_ RBjZ�$Bt sR

sAB%�� yP tB t�b {Z� bsR ��t��s��I Ak �Y$R }�B{�RR� b� �-$��I �Y$R �BZ�$t�� !�Y��b$R��

b� �-s8$t�I t�-� �Y� j�� �Ys� k$�jI�I �Y� 8s-$8Z8 I$&���t{� A��b��t 8s- � � � K� � � stI y � � �

wbY��� y � � � ) 8$t � � � y � � D �B R�� $P s p= {Z� BP _�B}BR$�$Bt 1 {BZjI A� ��t��s��I� yP RB�

�Y� **i 8BI�j:R N_ RBjZ�$Bt bsR Z}Is��I sP��� $t{B�}B�s�$t� �Y$R t�b p= {Z�� qY� }�BT

{�IZ�� �Y�t ��%����I �B RBj%$t� �Y� R�}s�s�$Bt �BZ�$t�� qY$R jBB} bsR ��}�s��I Zt�$j �$�Y��

Page 94: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

M;

tB {Z� bsR ��t��s��I P�B8 �Y� R�}s�s�$Bt }�BAj�8� B� s }��TR}�{$h�I tZ8A�� BP jBB}R bsR

��s{Y�I� qY$R %��R$Bt 7_1 k$�jI�I %��k �t{BZ�s�$t� ��RZj�R� �R}�{$sjjk bY�t �Y� }�BAj�8R

A�{s8� js���� $t R$9�� VR b� RYsjj R�� js���� 7_1 }��PB�8�I �-���8�jk b�jj Bt �Y� 7�� 1 ��R�

}�BAj�8R�

x�1�; 3Z��Y�� e-}��$8�t�R Bt 7�� 1 _�BAj�8R

sR�I Bt �Y� tZ8��${sj ��RZj�R P�B8 7�� d� b� �-}��$8�t��I b$�Y �Y� 8BR� }�B8$R$t�

8��YBIR ZR$t� �Y� 7�� 1 }�BAj�8R� i�{sjj �Ys� b� Ys%� �Y��� ��BZ}R BP t��bB�,R $t �Y� 7��

1 }�BAj�8R� �s{Y Ys%$t� s �B�sj tZ8A�� BP 4$�Y�R BP dx(� 1((� stI ;((� ��R}�{�$%�jk� G�

h�R� RBj%�I �Y� dx(T stI 1((T j�� ��BZ} }�BAj�8R ZR$t� �Y� R�j�{��I }�B8$R$t� s}}�Bs{Y�R sR

I�R{�$A�I A�jBb� qY� s%��s�� ]_= �$8�R stI �Y� s%��s�� }��{�t�s�� BP B}�$8sj$�k s{Y$�%�I

Ak �Y� Y�Z�$R�${sjjk �Zt %��R$BtR s�� RZ88s�$9�I $t qsAj� ��

qY� PBjjBb$t� sj�B�$�Y8${ {B8}BR$�$BtR b��� ��R��I wR�� �Y� {BjZ8tR BP qsAj� �D� qY�

B�$�$tsj **i 8BI�j bsR h�R� RBj%�I� PBjjBb�I Ak �Y� s}}j${s�$Bt BP _�B}BR$�$Bt d w_�B}dD�

y� $R tB�${�I �Ys� bY�t �Y� }�BAj�8R A�{B8� ��js�$%�jk 8B�� {Ysjj�t�$t�� �R}�{$sjjk bY�t

�Y� B�$�$tsj **i 8BI�j ��JZ$��R 8B�� �Yst Bt� YBZ� wnE(( R�{BtIRD �B RBj%� �Y� }�BAT

j�8� s}}jk$t� _�B}BR$�$Bt d ZRZsjjk }��PB�8R A������ qYZR $t �Y� PBjjBb$t� �-}��$8�t�R�

_�B}BR$�$Bt d $R sjbskR s}}j$�I�

W�-�� b� s���8}��I �B ��t��s�� %sj$I $t�JZsj$�$�R ZR$t� �Y� R�}s�s�$Bt }�BAj�8 �BZ�$t��

qbB I$&���t� s}}�Bs{Y�R b��� sIB}��I sP��� sII$t� sjj �Y� {BtR��s$t�R ��t��s��I P�B8

�Y� R�}s�s�$Bt }�BAj�8� yt 7_3� b� h- �Y� %s�$sAj�R �Ys� s�� sj��sIk A$ts�k %sjZ�I sP���

sII$t� �Y� ��t��s��I {Z�R A�PB�� RBj%$t� �Y� ��RZj�$t� **i }�BAj�8 sR st �y_� yt �Y�

R�{BtI %��R$Bt 7_=� �Y� {Z�TsZ�8�t��I **i 8BI�j $R RBj%�I �-s{�jk sR st �y_ b$�YBZ�

Page 95: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

Mx

qsAj� �U WZ8��${sj i�RZj�R P�B8 *$&���t� V}}�Bs{Y�R bY�t V}}j$�I �B �Y� 7�� 1 _�BAj�8R�

/U/ {% **i _�B}d 7_3 7_= + wdD + w1D +TR}T}�B}1 +TR}T}�B}1�n�$8� �$8� BA`0 �$8� �$8� �$8� �$8� BA`0 �$8� BA`0 �$8�

dx( x �dx xMn xMd d(( 1�M �(d d1�M d1dd d(( nxM d(( nM�

dx( x �;x 1dEd 1dxx d(( x1( n;E( �E� �(n ����M x;E ����M xnM

dx( M �dx Mx M; d(( d(n dx; 1�n 1(M d(( d(n d(( d(E

dx( M �;x dx; dxE d(( ddn 1(1 M�d d�� d(( d(M d(( d(�

dx( dx �dx x� x� ����� E� �x d�� �E d(( �1 d(( �n

dx( dx �;x x; xx ����� E1 �; dMM �E ����� En ����� En

1(( x �dx nEx� 1;�1 d(( dd�n nnnM n;d( nx1n d(( d(;n d(( d(;(

1(( x �;x x;n1 x;(M d(( dExx x1dd ���d n�xn d(( dnxd d(( dE(1

1(( M �dx �En�

ddxE�

d(( xd� MEn�

E;xd xE�n d(( xx1 d(( x;d

1(( M �;x d�n;�

d�nd�

d(( EM1 1M;(�

EEMM E(;� d(( �dn d(( EME

1(( dx �dx dxM dx� d(( M� dnE 1E� 11( d(( Mn ����� �;

1(( dx �;x dx1 dx� ����M d1d dM( 1;E dMd ����M d(� ����M dd;

~U !t� t��bB�, {BZjI tB� A� RBj%�I b$�Y$t �Y� R$- YBZ� j$8$�� stI bsR �Y���PB�� tB� $t{jZI�I$t �Y� s%��s�� {sj{Zjs�$BtR�

stk RZ{Y h-$t�R� GY$j� �Y� %��R$Bt 7_3 8sk tB� k$�jI st B}�$8sj RBjZ�$Bt� $� $R RYBbt �B

}�BIZ{� RBjZ�$BtR %��k {jBR� �B B}�$8sj$�k ws� st s%��s��� 8B�� �Yst �����0 BP B}�$8sj$�kD

stI �Y� {B8}Z�s�$Btsj �$8� $R �k}${sjjk YsjP stI RB8��$8�R Bt� �Y$�I BP �Ys� PB� 7_= wBt

s%��s��� �Y� ]_= �$8�R PB� 7_3 s�� x;�n0 BP �Ys� PB� 7_=D� <�t{�� $t �Y� PBjjBb$t� ��R�R�

b� s}}jk �Y� h-�I %��R$Bt R��s���k 7_3�

VR 8�t�$Bt�I $t 7�{�$Bt x�1�1� �Y� h�R� �Y��� �Zj�R R�s��I �Y���$t bY�t s}}j$�I s }�$B�$

PB� �Y� +T%s�$sAj�R ��PB�8Zjs�$Bt I$I tB� s}}�s� �B A� �t{BZ�s�$t� PB� RBj%$t� js���� R$9�I

}�BAj�8R� <Bb�%��� iZj�R ; stI x }��PB�8�I %��k b�jj Bt �Y� 7�� 1 }�BAj�8R� qY�$� ��RZj�R

s�� �$%�t $t {BjZ8tR +wdD stI +w1D� ��R}�{�$%�jk� i�{sjj �Ys� iZj� ;� B� +wdD� sIIR �Y�

+T%s�$sAj�R PB� �Y� 4$�Y�R �Ys� Ys%� �Y� 8s-$8Z8 �B�sj Ps��� stI iZj� x� B� +w1D� sIIR

�Y� +T%s�$sAj�R PB� �Y� 4$�Y�R �Ys� Ys%� �Y� 8s-$8Z8 s%��s�� Ps��� +w1D }��PB�8R A�����

Page 96: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

ME

stI $R R�j�{��I �B A� �-}��$8�t��I b$�Y PZ��Y��� V {B8A$ts�$Bt BP iZj�R ; stI x bsR sjRB

��R��I� $���� +T%s�$sAj�R s�� $t{B�}B�s��I PB� 4$�Y�R �Ys� Ys%� �$�Y�� �Y� 8s-$8Z8 �B�sj Ps��

B� �Y� 8s-$8Z8 s%��s�� Ps��� qY� ��RZj�R b��� tB� sR �BBI sR PB� s}}jk$t� +w1D sjBt��

qY� s%��s�� ]_= �$8�R PB� st $t����s��I s}}�Bs{Y ZR$t� �Y� R�}s�s�$Bt �BZ�$t� b$�Y

�Y� +T%s�$sAj� PB�8Zjs�$Bt� sR b�jj sR ZR$t� _�B}BR$�$BtR 1 stI n� s�� �$%�t $t �Y� jsR�

�bB {BjZ8tR BP qsAj� �� yt �Y$R $t����s��I s}}�Bs{Y� �Y� +T%s�$sAj�R s�� sII�I s }�$B�$

PB� �YBR� 4$�Y� j��R Ys%$t� �Y� 8s-$8Z8 s%��s�� Ps��� sR $t �Y� %��R$Bt +w1D I�R{�$A�I

sAB%�� _�B}BR$�$Bt n� bY�t ZR�I� $R s}}j$�I }s��$sjjk sR PB� �Y� R��s���k ]1 I�R{�$A�I $t

7�{�$Bt x�1� $���� �Y� %sj$I $t�JZsj$�k $R sII�I PB� Btjk Bt� j�� stI Bt� }s�Y� bY��� �Y� j��

YsR �Y� 8s-$8Z8 �B�sj I�8stI Bt sjj �Y� }s�YR {�BRR$t� $�� stI �Y� }s�Y YsR �Y� 8$t$8Z8

I�8stI s8Bt� �Y�R� }s�YR� qY� 7_1 %��R$Bt bsR RYBbt �B A� %��k }�B8$R$t� PB� �Y� 7�� d

}�BAj�8R� yt �Y� }��R�t� $t����s��I s}}�Bs{Y� $� $R s}}j$�I �B �Y� 8BI�j Ys%$t� +T%s�$sAj�R

$t s j$,�b$R� PsRY$Bt� qY�R� �bB $t����s��I s}}�Bs{Y�R� {sjj�I +TR}T}�B}1 stI +TR}T}�B}1�n�

��R}�{�$%�jk� $8}�B%� ]_= �$8�R ��8s�,sAjk� yt R�%��sj {sR�R� �Y�k ��IZ{� �Y� {B8}Z�s�$Bt

�$8� Ak s Ps{�B� BP d� $t {B8}s�$RBt b$�Y �Y� B�$�$tsj **iT PB�8Zjs�$Bt ws� st s%��s���

�Y� ��IZ{�$Bt $t �&B�� $R Ak s Ps{�B� BP 1�nD� yt �Y� 1((Tj�� ��BZ}� bY�t �Y� }�BAj�8R

A�{B8� %��k Ys�I �B RBj%�� �Y� +TR}T}�B}1 s}}�Bs{Y BZ�}��PB�8R 7_3� �Y� A�R� s}}�Bs{Y

RB Ps��

qY� ��RZj�R sjRB $tI${s�� �Ys� �Y� 8�stR stI %s�$st{�R BP I�8stIR $t4Z�t{� �Y� {B8}ZT

�s�$Btsj �&B��� qY� }�BAj�8R A�{B8� 8B�� {Ysjj�t�$t� bY�t �Y� I�8stIR A�{B8� R8sjj���

GY�t �Y� 8�st I�8stI $R R8sjj� st $t{��sR� $t �Y� %s�$st{� $t{��sR�R �Y� I$^{Zj�k BP

RBj%$t� �Y� }�BAj�8� y� $R bB��Y tB�${$t� �Ys� �Y� 7_3 R��s���k BZ�}��PB�8R �Y� $t����s��I

Page 97: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

M�

s}}�Bs{Y�R bY�t �Y� I�8stIR s�� js����� bY$j� B�Y��b$R�� bY�t �Y� I�8stIR s�� R8sjj��

stI �Y� }�BAj�8R �s,� YBZ�R �B RBj%�� �Y� $t����s��I s}}�Bs{Y�R }��PB�8 A������ yt BZ�

��R� }�BAj�8R� $t }s��${Zjs�� bY�t �Y� I�8stI I$R��$AZ�$Bt YsR s 8�st BP x� B� s 8�st BP

M stI s {B�^{$�t� BP %s�$s�$Bt BP (�;x� �Y� }�BAj�8R �s,� %��k jBt� �B RBj%�� y� $R �Y�R�

}�BAj�8R �Ys� s�� $t 8BR� t��I BP �BBI sj�B�$�Y8R� yt �Y� PBjjBb$t�� b� PB{ZR BZ� ��R�R Bt

RZ{Y }�BAj�8R Btjk�

x�1�x WBI� 7�j�{�$Bt stI �st{Y$t� _�$B�$�$�R stI ]_Ne� ]Z�R

V� �s{Y tBI� BP �Y� A�st{YTstITABZtI ����� ]_Ne� sRRB{$s��R s %sjZ� �Ys� $R ZR�I �B R�j�{�

tBI�R $t �Y� �tZ8��s�$Bt }�B{�RR� k I�PsZj�� �Y� XA�R� ABZtI" �Zj� $R s}}j$�I� $���� �Y�

jBb�� ABZtI Bt �Y� $t����� B}�$8Z8 sR BA�s$t�I P�B8 �Y� N_ RZA}�BAj�8 RBj%�I s� �Y�

tBI� $R ZR�I sR �Y� I�R$�ts��I %sjZ�� Vt sj���ts�$%� $R �B ZR� �Y� XA�R� �R�$8s��" �Zj��

bY${Y {B8}Z��R st �R�$8s�� BP �Y� A�R� BA`�{�$%� %sjZ� �Ys� {st A� s{Y$�%�I P�B8 �Y�

tBI� RZA}�BAj�8� qY$R sj���ts�$%� R$�t$h{st�jk ��IZ{�I �Y� {B8}Z�s�$Btsj �$8� $t BZ� ��R�

}�BAj�8R� yt R�%��sj {sR�R� $� RBj%�I �Y� }�BAj�8 $t Btjk YsjP BP �Y� ]_= �$8� sR {B8}s��I

b$�Y �Y� I�PsZj� XA�R� ABZtI" B}�$Bt� yt qsAj� d(� b� {B8}s�� �Y� {B8}Z�s�$Btsj �$8�R

Bt �Y� 1((Tj�� ��BZ} ��R� }�BAj�8R PB� �Y�R� �bB tBI� R�j�{�$Bt sj���ts�$%�R bY�t ZR$t�

+TR}T}�B}1�

qsAj� d(U V%��s�� ]_= q$8�R PB� qbB WBI� 7�j�{�$Bt 7��s���$�R�

/U/ {�%� A�R� ABZtI A�R� �R�$8s��

1(( x (�dx d(;n xM1�d

1(( x (�;x dnx(�M dd((��

1(( M (�;x �dn�( En(�(

Page 98: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

MM

yt sII$�$Bt� ]_Ne� ZR��R {st sjRB }�$B�$�$9� �Y� $t����� %s�$sAj�R� RB �Ys� �Y� %s�$sAj�R

Ys%$t� Y$�Y�� }�$B�$�$�R s�� A�st{Y�I �s�j$�� s� stk R�j�{��I tBI�� yt BZ� �-}��$8�t�� b�

��R��I �Y��� R��s���$�R PB� }�$B�$�$9$t� �Y� 4$�Y� %s�$sAj�R� 3$�R�� b� �$%� Y$�Y�� }�$B�$�$�R

�B �Y� 4$�Y�R Ys%$t� js���� �B�sj I�8stIR w\� � � � � � � � i PB� q ; U � D� 7�{BtI� b� �$%� Y$�Y��

}�$B�$�$�R �B �Y� 4$�Y�R Ys%$t� js���� s%��s�� I�8stIR w\� � � � � � � � � � � � � i PB� q ; U � D� B�Y BP

�Y�R� R��s���$�R wsR b�jj sR �Y�$� ��%��R� %��R$BtRD I���sI�I ]_Ne�:R }��PB�8st{�� <�t{��

b� ZR�I ]_Ne�:R I�PsZj� R��s���k�

i�{sjj �Ys� b� ��R��I Bt �Y� 7�� d }�BAj�8R �Y� {Z� ��t��s�$Bt B}�$BtR b$�Y$t ]_Ne��

G� t�-� ��T��R��I �Y�R� B}�$BtR Bt �Y� 7�� 1 }�BAj�8R ZR$t� �Y� $t����s��I s}}�Bs{Y +TR}T

}�B}1 b$�Y �Y� A�R� �R�$8s�� tBI� R�j�{�$Bt R��s���k� qsAj� dd {B8}s��R �Y� s%��s�� ]_=

�$8�R PB� �Y� I$&���t� {Z� B}�$BtR s}}j$�I �B �Y$R {B8A$ts�$Bt R��s���k�

qsAj� ddU V%��s�� ]_= q$8�R PB� *$&���t� ]Z�R !}�$BtR�

/U/ {�%� I�PsZj� {j$JZ�R {B%��R 4BbR P�s{R �ZAR $8}j$�IR

1(( x (�dx xM1 �1E �1d x�( x1E �d� �nx

1(( x (�;x dd(d ddx; dddM d(�� d((� ddnd dd1E

1(( M (�;x En( �(; E�� Ed� Exd �(( �(n

qY� 4Bb{Z�R $R �Y� Btjk B}�$Bt �Ys� $8}�B%�R �Y� }��PB�8st{�� qY� P�s{{Z�R B}�$Bt sjRB

�tYst{�R �Y� }��PB�8st{� RB8��$8�R� AZ� I���sI�R $� $t RB8� {sR�R� stI $R tB� R�sAj�� G�

PZ��Y�� ��R��I s R��Bt� s}}j${s�$Bt BP �Y� 4Bb{Z�R B}�$Bt� AZ� �Y� ��RZj�R b��� tB� sR �BBI

sR �Y� I�PsZj� s}}j${s�$Bt�

sR�I Bt �Y� ��RZj�R P�B8 �Y� dx(T stI 1((Tj�� ��BZ} }�BAj�8R� b� R�j�{��I 7_3 stI �Y�

+TR}T}�B}1�n s}}�Bs{Y�R b$�Y �Y� XA�R� �R�$8s��" tBI� R�j�{�$Bt B}�$Bt stI �Y� 4Bb{Z�R

B}�$Bt �B ��R� Bt �Y� ;((Tj�� ��BZ} }�BAj�8R� qsAj� d1 }��R�t�R �Y� ��RZj�R P�B8 �Y� B�$�$tsj

Page 99: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

M�

**i 8BI�j� �Y� 7_3 s}}�Bs{Y� stI �Y� +TR}T}�B}1�n s}}�Bs{Y� G� h�R� ��$�I �B RBj%� �Y�

}�BAj�8 ZR$t� �Y� B�$�$tsj **i 8BI�j� <Bb�%��� s8Bt� �Y� �Y��� t��bB�,R� Btjk �Y� h�R�

t��bB�, {BZjI A� RBj%�I b$�Y$t �Y� }��TR}�{$h�I d(TYBZ� �$8� j$8$�� qY� R�{BtI stI �Y�

�Y$�I t��bB�,R Btjk ���Z�t�I �Y� A�R� $t����sj RBjZ�$BtR �Ys� b��� I���{��I b$�Y$t d( YBZ�R�

stI �Y���PB�� b� IB tB� Ys%� s %��$h�I B}�$8sj BA`�{�$%� %sjZ� PB� �Y�R� �bB $tR�st{�R�

GY�t ZR$t� �Y� wY�Z�$R�${D s}}�Bs{Y�R �Ys� h- �Y� A$ts�kT%sjZ�I %s�$sAj�R sP��� �Y� htsj

tBI�T9��B N_ ��js-s�$Bt� �Y� R�{BtI t��bB�, {BZjI A� RBj%�I Ak 7_3 stI +TR}T}�B}1�n

8Z{Y PsR��� stI s{Y$�%�I �Y� Rs8� BA`�{�$%� %sjZ�� qY� �Y$�I t��bB�, {BZjI sjRB A� RBj%�I

b$�Y$t �Y� �$8� j$8$�� stI $t �Y$R {sR�� PB�8�I Rj$�Y�jk $8}�B%�I BA`�{�$%� %sjZ�R� qY�

+TR}T}�B}1�n s}}�Bs{Y $8}�B%�I �Y� A�R� BA`�{�$%� %sjZ� PBZtI PB� �Y� B�$�$tsj **i 8BI�j

�Zt Ak (�n0� stI �Y� 7_3 s}}�Bs{Y $8}�B%�I �Y$R **i %sjZ� Ak (�10�

qsAj� d1U ]_= q$8�R PB� qY��� ;((Tj�� _�BAj�8R�

_�BAj�8 **i 7_3 +TR}T}�B}1�n�$8� BA`0 �$8� BA`0 �$8�

d 1(;(( ����� ;ME� ����� n(;d

1 nE((( d(( x;x1 d(( ;1��

n nE((( d((�1( �En; d((�n( ddnn�

x�n 7BjZ�$Bt V}}�Bs{Y�R

yt �Y$R R�{�$Bt� b� RZ88s�$9� �Y� $t����s��I s}}�Bs{Y Ak }�B}BR$t� s Y�Z�$R�${ s}}�Bs{Y

$t 7�{�$Bt x�n�d� stI st B}�$8sj sj�B�$�Y8 $t 7�{�$Bt x�n�1� B�Y s}}�Bs{Y�R b��� ��R��I

Bt ��sj R$9�I t��bB�,R stI �Y� ��RZj�R s�� }��R�t��I $t 7�{�$Bt x�n�n�

Page 100: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�(

x�n�d 7Z88s�k BP �Y� _�B}BR�I <�Z�$R�${ V}}�Bs{Y

sR�I Bt �Y� $t����s��I s}}�Bs{Y�R� b� }�B}BR� �Y� PBjjBb$t� Y�Z�$R�${ �B RBj%� �Y� **iT

8BI�jU

yt$�$sj$9s�$BtU

_��}�B{�RR �Y� **iT 8BI�j �R�sAj$RY�I $t 7�{�$Bt n�E�d Ak �Y� �bB R��}R }�B}BR�I $t

7�{�$Bt ;�d�d RB �Ys� _�B}BR$�$Bt d $R s}}j$�I �B �Y� R�� BP {BtR��s$t�R w;ID�

7��} dU i�}js{� w;PD b$�Y �Y� %sj$I $t�JZsj$�k R � �� � � � � E7z\ � , K� �

�i? �

�P�B8 _�B}BT

R$�$Bt n PB� �Y� j�� �Ys� YsR �Y� 8s-$8Z8 �B�sj I�8stI Bt sjj �Y� }s�YR {�BRR$t� $�� stI

�Y� }s�Y �Ys� YsR �Y� 8$t$8Z8 I�8stI s8Bt� �Y�R� }s�YR� VII �Y� +T%s�$sAj�R PB� �Y�

4$�Y�R �Ys� Ys%� �Y� 8s-$8Z8 s%��s�� Ps��� 7Bj%� �Y� ��RZj�$t� N_ ��js-s�$Bt Ak ��js-$t�

�Y� A$ts�k {BtR��s$t�R�

7��} 1U yP �Y� RBjZ�$Bt �B �Y� N_ ��js-s�$Bt Rs�$Rh�R �Y� A$ts�k ��R��${�$BtR� R�B}�

B�Y��b$R�� ZR� �Y� {Z���t� RBjZ�$Bt �B RBj%� �Y� R�}s�s�$Bt }�BAj�8� yP �Y� BA`�{�$%� %sjZ�

BP �Y� R�}s�s�$Bt }�BAj�8 $R 9��B wtB {Z� $R ��t��s��ID� �B �B 7��} ;� B�Y��b$R�� ��t��s��

s {Z� AsR�I Bt �Y� RBjZ�$Bt stI ��TRBj%� �Y� **iT 8BI�j:R N_ ��js-s�$Bt b$�Y �Y$R t�b

{Z�� _�B{��I �B 7��} n�

7��} nU yP s A$ts�k %sjZ�I RBjZ�$Bt $R BA�s$t�I� R�B}� B�Y��b$R�� ZR� �Y� j�� �Ys� k$�jIR

�Y� 8s-$8Z8 I$&���t{� A��b��t 8s-� � �

K� ��stI y �

� � s8Bt� sjj �Y� P�s{�$Btsj %s�$sAj�R w$����

8s- �� � � � � � � � �

� � � � w8s-� � �

K� ��

� y �� � DD �B ��t��s�� s p= $t�JZsj$�k BP _�B}BR$�$Bt 1� yP

�Y$R $t�JZsj$�k {Z�R B& �Y� {Z���t� RBjZ�$Bt� sII $� �B �Y� 8BI�j stI ��RBj%�� i��Z�t �B 7��}

1�

7��} ;U yP �Y� RBjZ�$Bt $R A$ts�k� R�B}� B�Y��b$R�� h- �Y� %s�$sAj�R �Ys� s�� A$ts�k

Page 101: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�d

%sjZ�I $t �Y� N_ ��js-s�$Bt RBjZ�$Bt s� �Y�$� {Z���t� %sjZ�R� stI h- ? � � s� d $P $� $R ���s���

�Yst (��x� 7Bj%� �Y� ��RZj�$t� �y_ }�BAj�8 Ak R���$t� �Y� tBI� R�j�{�$Bt B}�$Bt �B XA�R�

�R�$8s��"� stI Rb$�{Y$t� Bt �Y� X4Bb{Z�R" $t ]_Ne��

x�n�1 qY� _�B}BR�I !}�$8sj V}}�Bs{Y

_�B8}��I Ak �Y� Y�Z�$R�${ s}}�Bs{Y� stI tB�${$t� �Ys� �Y� $t����s��I }�B{�IZ�� s{Y$�%�R

t�s�TB}�$8sj RBjZ�$BtR� b� 8BI$Pk �Y� htsj R��} BP �Y� Y�Z�$R�${ 8��YBI stI }�B}BR� �Y�

PBjjBb$t� �-s{� sj�B�$�Y8� WB�${� �Ys� �Y$R s}}�Bs{Y ���s$tR �Y� N_ }�B{�RR$t� R��}R P�B8

�Y� Y�Z�$R�${ }�B{�IZ�� P�B8 7�{�$Bt x�n�d�

yt$�$sj$9s�$BtU

_��}�B{�RR �Y� **iT 8BI�j I�R{�$A�I $t 7�{�$Bt n�E�d Ak �Y� �bB R��}R }�B}BR�I $t

7�{�$Bt ;�d�d RB �Ys� _�B}BR$�$Bt d $R s}}j$�I �B �Y� R�� BP {BtR��s$t�R w;ID�

7��} dU i�}js{� w;PD b$�Y �Y� %sj$I $t�JZsj$�k R � ��

� � � � E7z\ � , K� � � i? � � P�B8 _�B}BT

R$�$Bt n PB� �Y� j�� �Ys� YsR �Y� 8s-$8Z8 �B�sj I�8stI Bt sjj �Y� }s�YR {�BRR$t� $�� stI

�Y� }s�Y �Ys� YsR �Y� 8$t$8Z8 I�8stI s8Bt� �Y�R� }s�YR� VII �Y� +T%s�$sAj�R PB� �Y�

4$�Y�R �Ys� Ys%� �Y� 8s-$8Z8 s%��s�� Ps��� 7Bj%� �Y� ��RZj�$t� N_ ��js-s�$Bt Ak ��js-$t�

�Y� A$ts�k {BtR��s$t�R�

7��} 1U yP �Y� RBjZ�$Bt �B �Y� N_ ��js-s�$Bt Rs�$Rh�R �Y� A$ts�k ��R��${�$BtR� R�B}�

B�Y��b$R�� ZR� �Y� {Z���t� RBjZ�$Bt �B RBj%� �Y� R�}s�s�$Bt }�BAj�8� yP �Y� BA`�{�$%� %sjZ�

BP �Y� R�}s�s�$Bt }�BAj�8 $R 9��B wtB {Z� $R ��t��s��ID� �B �B 7��} ;� B�Y��b$R�� ��t��s��

s {Z� AsR�I Bt �Y� RBjZ�$Bt stI ��TRBj%� �Y� **iT 8BI�j:R N_ ��js-s�$Bt b$�Y �Y$R t�b

{Z�� _�B{��I �B 7��} n�

7��} nU yP s A$ts�k %sjZ�I RBjZ�$Bt $R BA�s$t�I� R�B}� B�Y��b$R�� ZR� �Y� j�� �Ys� k$�jIR

Page 102: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�1

�Y� 8s-$8Z8 I$&���t{� A��b��t 8s- � � � K� � � stI y � � � s8Bt� sjj �Y� P�s{�$Btsj %s�$sAj�R w$����

8s- � � � � � � � � � � � � � � � w8s- � � � K� � � � y � � � DD �B ��t��s�� s p= $t�JZsj$�k BP _�B}BR$�$Bt 1� yP

�Y$R $t�JZsj$�k {Z�R B& �Y� {Z���t� RBjZ�$Bt� sII $� �B �Y� 8BI�j stI ��RBj%�� i��Z�t �B 7��}

1�

7��} ;U yP �Y� RBjZ�$Bt $R A$ts�k� R�B}� B�Y��b$R�� }�$B�$�$9� �Y� RBjZ�$Bt %s�$sAj�R Ak

$8}BR$t� s Y$�Y�� }�$B�$�k �B �Y� R�� BP �Y� %s�$sAj�R �Ys� s�� R�$jj P�s{�$Btsj %sjZ�I $t �Y� N_

��js-s�$Bt RBjZ�$Bt stI s jBb�� }�$B�$�k �B �Y� R�� BP �Y� A$ts�k %sjZ�I %s�$sAj�R� VjjBb st

6T B}�$8sj$�k �Bj��st{� b$�Y �Y� �y_ RBj%�� w]_Ne� E�E�(D stI RBj%� �Y� ��RZj�$t� 8$-�IT

$t����� }�BAj�8 Ak R���$t� �Y� tBI� R�j�{�$Bt B}�$Bt �B XA�R� �R�$8s��"� stI Rb$�{Y$t� Bt

�Y� X4Bb{Z�R" $t ]_Ne�� wyt BZ� {B8}Z�s�$BtR� b� ZR�I 6 ) (3(x�D

G� ��8s�, Y��� �Ys� $t }�s{�${�� s$�j$t�R bBZjI Ys%� �Y� B�$�$tsj 4��� sRR$�t8�t� s�

YstI� bY${Y $R s P�sR$Aj� RBjZ�$Bt �B BZ� 8BI�j� qY$R B�$�$tsj 4��� sRR$�t8�t� %sjZ� {st A�

R�� sR s jBb�� ABZtI �B R}��I Z} �Y� Ps�YB8$t� }�B{�RR $t AB�Y BP �Y� sAB%� s}}�Bs{Y�R�

x�n�n e-}��$8�t�sj i�RZj�R !A�s$t�I P�B8 i�sjTR$9�I _�BAj�8R

G� ��R��I �Y� }�B}BR�I s}}�Bs{Y�R Bt �Y� 7�� n }�BAj�8R� qY$R R�� YsR �bB t��bB�,R� qY�

h�R� Bt� YsR M(( j��R stI dMd�E }s�YR $t �B�sj� b$�Y n(( j��R $t �Y� Ps8$jk� stI �Y� R�{BtI

Bt� YsR d(E( j��R stI nnd(x }s�YR $t �B�sj� b$�Y n(( j��R $t �Y� Ps8$jk� B�Y t��bB�,R s��

��R��I Bt �bBT�k}�� �Y���T�k}�� stI PBZ�T�k}� }�BAj�8R b$�Y I$&���t� 8�stR stI {B�^{$�t�R

BP %s�$s�$Bt Bt I�8stIR� qsAj� dn {B8}s��R �Y� s%��s�� ]_= �$8� PB� RBj%$t� �Y�R� ��sj

R$9�I }�BAj�8R b$�Y �Y� B�$�$tsj **i 8BI�j stI �Y� }�B}BR�I 6TB}�$8sj stI Y�Z�$R�${

8��YBIR�

yt qsAj� dn� !ip� !_q� stI <e= {BjZ8tR RYBb �Y� {B8}Z�$t� �$8�R Ak ZR$t� �Y�

Page 103: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�n

qsAj� dnU ]_= q$8�R PB� i�sj 7$9�I _�BAj�8R�

]s}s{$�$�R �x�dd1�wd1ED Ex��x�wMxD Ex��(�wddxD

/U/ /U � / /x / {�%� !ip !_q <e= !ip !_q <e= !ip !_q <e=

x (�dx 1E xd ;x x1 d;; d(� ~~ ;(xd ;d1n1 M (�;x nM ME ddd nE dd( �E nEE( d;�d ;�(

M(( n(( dx (�;x 1; �; �( n1 1(� �; �E 11; ddxx (�dx ddMn xnx ;;E ~~ d;E�n d;E; ~~ ~~ ~~

n M (�;x dnMdE dnn�� d�x� ~~ M1n� dn�d ~~ ~~ ~~dx (�;x Mx 1�� 1;n 1nx n�M 1Ed dM;n End ;E1

x (�dx 1x d;M �n E( d�n dx( ~~ ~~ ~~1 M (�;x E; 1;1 dE( �d d�M dx1 ~~ n1�; �1E�

d(E( n�E dx (�;x �E d�M dE� �x dM( d;1 ~~ EEE Ed�x (�dx d;dx d��1 E�n ~~ xEn; M�d ~~ ~~ ~~

n M (�;x ~~ d1dn1 1n(1 1d;x ndE; �d1 ~~ ~~ ~~dx (�;x d�� ;;( n(M 1;( ;dn 1E� ~~ dn1x xE�

WB��U ~~ I�tB��R �Y� }�BAj�8 $R tB� RBj%�I A�{sZR� BP XBZ� BP 8�8B�k" ���B��

B�$�$tsj **i 8BI�j� �Y� }�B}BR�I 6TB}�$8sj 8��YBI� stI �Y� }�B}BR�I Y�Z�$R�${ 8��YBI�

��R}�{�$%�jk� G� RZ88s�$9� �Y� PBjjBb$t� htI$t�R P�B8 �Y� ��RZj�RU

dD yP s }�BAj�8 bsR RBj%�I PsR� Ak �Y� B�$�$tsj 8BI�j� $� {BZjI sjRB A� RBj%�I ��js�$%�jk

PsR� ZR$t� �Y� }�B}BR�I 8��YBIR�

1D qY� }�B}BR�I 8��YBIR s�� 8B�� ��j$sAj� �Yst �Y� B�$�$tsj 8BI�j� e$�Y� }�BAj�8R

b��� tB� RBj%sAj� Ak �Y� B�$�$tsj 8BI�j� AZ� b��� RBj%�I Ak �Y� }�B}BR�I 8��YBIR b$�Y �Y�

}��R{�$A�I j$8$�R� wG$�Y$t x YBZ�R Ak ]_Ne� E�E�( Bt s 7=W =j��s d GB�,R�s�$Bt Ys%$t�

1E( � iV� stI s {jB{,TR}��I BP dE� �<9�D

nD ]B8}s�$t� �Y� B}�$8sj 8��YBI b$�Y �Y� Y�Z�$R�${ 8��YBI� �%�t �YBZ�Y �Y� PB�8��

{BtRZ8�R ���s��� ]_= �$8� Ak st s%��s�� Ps{�B� BP 1��� �Y� tZ8A�� BP }�BAj�8R RBj%sAj�

Ak �Y$R 8��YBI IB�R tB� I�{��sR��

;D qY� }�B}BR�I Y�Z�$R�${ }�B%$I�R %��k �BBI JZsj$�k RBjZ�$BtR� 3B� �Y� nd }�BAj�8R

Page 104: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�;

�Ys� s�� RBj%sAj� Ak !_q� �Y� Y�Z�$R�${ k$�jI�I d((0 B}�$8sj$�k PB� 1� BP �Y�8� stI �����0

PB� �Y� B�Y�� �bB� ��s{Y$t� st s%��s�� BP ������0 BP B}�$8sj$�k BP �YBR� RBj%�I Ak �Y�

w6DTB}�$8sj sj�B�$�Y8�

_�BAj�8R Ys%$t� ; �k}�R BP s$�{�sP� $t �Y� Ps8$jk b��� sjRB ��R��I b$�Y �Y� }�B}BR�I

Y�Z�$R�${� qY� t��bB�, Ys%$t� M(( 4$�Y�R bsR RBj%�I $t ;� E� stI d; YBZ�R� stI �Y� t��bB�,

Ys%$t� d(E( 4$�Y�R bsR RBj%�I $t E YBZ�R� qY�R� ]_= �$8�R s�� {BtR$I���I s{{�}�sAj� sR

�Y$R 8BI�j $R RBj%�I $t �Y� }jstt$t� R�s���

Page 105: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

]Ys}��� E

7Z88s�k� ]Bt{jZR$BtR stI 3Z�Z��

i�R�s�{Y *$��{�$BtR

qY$R {Ys}��� }�B%$I�R s RZ88s�k stI {Bt{jZR$BtR PB� BZ� bB�, $t 7�{�$Bt E�d� stI }�B}BR�

RB8� ��{B88�tIs�$BtR PB� PZ�Z�� ��R�s�{Y $t 7�{�$Bt E�1�

E�d 7Z88s�k stI ]Bt{jZR$BtR

qY$R �Y�R$R }��R�t�R 8BI�jR stI RBjZ�$Bt s}}�Bs{Y�R PB� �Y� **i w*�8stI *�$%�t i�T

4���$t�D }�BAj�8� yt �Y� s$�j$t� R{Y�IZj$t� }�B{�RR� �Y� $t$�$sj 4��� sRR$�t8�t�R s�� {B8T

}j���I b$�Y Btjk }��j$8$ts�k I�8stI $tPB�8s�$Bt� qY� BA`�{�$%� BP �Y� **i }�BAj�8 $R �B

��%$R� �Y� $t$�$sj 4���$t� sRR$�t8�t�R sR stI bY�t A����� I�8stI PB��{sR�R A�{B8� s%s$jT

sAj�� $t B�I�� �B }�B%$I� s A����� 8s�{Y A��b��t I�8stIR stI s$�{�sP� {s}s{$�$�R� RB sR �B

8s-$8$9� �Y� �B�sj ��%�tZ��

G� h�R� }�B}BR�I st B%��sjj �Y���TR�s�� P�s8�bB�, PB� RZ}}jk 4��� 8sts��8�t� $t

s$�j$t�R �s,$t� sI%st�s�� BP $tY���t� 4�-$A$j$�$�R $t RkR��8 {s}s{$�k� yt �Y$R P�s8�bB�,�

�x

Page 106: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�E

{Bt�$tZBZRjk Z}Is��I I�8stI PB��{sR� $tPB�8s�$Bt $R Z�$j$9�I RB �Ys� �Y� {s}s{$�$�R sRR$�t�I

�B 4$�Y�R s�� A����� 8s�{Y�I b$�Y �Y� I�8stI� stI �Y� R}$jj stI R}B$j {BR�R s�� {BtR�JZ�t�jk

��IZ{�I�

yt ]Ys}��� n� b� }��R�t��I PBZ� **i 8BI�jRU �Y� AsR${ **i 8BI�j� �Y� **i 8BI�j

{BtR$I��$t� }s�YT{jsRR j�%�jR� �Y� **i 8BI�j b$�Y *!G\*!� w*sk BP G��, stI *sk BP

�Bt�YD %s�$s�$BtR� stI �Y� **i 8BI�j b$�Y ��T{s}�Z�� w$���� s }�B}B��$Bt BP jBR� }s�Y j�%�j

I�8stIR {st A� Rs�$Rh�I Bt B�Y�� }s�YR� $P t��I�ID� _�$B� �B BZ� bB�,� 4��� sRR$�t8�t� stI

��%�tZ� 8sts��8�t� 8BI�jR Ys%� ��sI$�$Btsjjk A��t RBj%�I $t s R�JZ�t�$sj }�B{�RR� qY�

4��� sRR$�t8�t� $R I�{$I�I s� st �s�j$�� R�s�� bY�t Btjk }��j$8$ts�k I�8stI $tPB�8s�$Bt

$R s%s$jsAj�� stI s ��%�tZ� 8sts��8�t� R�ZIk $R ZR�I �B 8s-$8$9� �Y� �B�sj ��%�tZ�� �$%�t

�Y� }��R{�$A�I 4��� sRR$�t8�t�� !t� BP �Y� {Bt��$AZ�$BtR BP �Y� **i 8BI�jR $R �Ys� Ak

$t����s�$t� �Y� 4���$t� stI ��%�tZ� 8sts��8�t� I�{$R$Bt }�B{�RR�R� �Y� 4���$t� I�{$R$BtR

s�� sI`ZR��I AsR�I Bt �Y� P��IAs{, P�B8 �Y� ��%�tZ� 8sts��8�t� PB� �Y� }B��t�$sj BP s

A����� }�Bh��

V �Y$�I {Bt��$AZ�$Bt BP �Y�R� 8BI�jR $R �Y� $t{jZR$Bt BP �Y� }s�Y j�%�j I�8stI $tPB�T

8s�$Bt� _�$B� �B �Y�R� 8BI�jR� I�8stIR Bt �s{Y j�� b��� {BtR$I���I �B A� $tI�}�tI�t��

<Bb�%��� sP��� �Y� $t��BIZ{�$Bt BP YZATstITR}B,� RkR��8R $t s$�j$t� t��bB�,R� sABZ� ;(0 BP

�Y� }sRR�t��� ��$}R $t �Y� =7 {BtR$R� BP 8B�� �Yst Bt� j��� qY���PB��� I�8stIR s�� Y$�Yjk

I�}�tI�t� A��b��t 4$�Y� j��R� _s�Y j�%�j I�8stIR $t��BIZ{� 8B�� s{{Z�s�� $tPB�8s�$Bt �B

�Y� 4���$t� stI ��%�tZ� 8sts��8�t� I�{$R$BtR� AZ� Bt �Y� B�Y�� YstI� j�sI �B s R$�t$h{st�

$t{��sR� $t �Y� R$9� BP �Y� }�BAj�8 �B A� RBj%�I� yt BZ� ��R� }�BAj�8R� b� {BtR��Z{��I }s�YR

Ys%$t� Z} �B n j��R� !t s%��s��� �Y� �B�sj tZ8A�� BP �Y� }s�YR PB� �Y� t��bB�,R Ys%$t� 1((�

Page 107: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

��

;((� M((� stI d(E( 4$�Y�R $t BZ� ��R�R s�� ;;1;� Mn;�� dMd�E� stI nnd(x� ��R}�{�$%�jk�

e%�t �YBZ�Y b� s}}jk �Y� 8BI�j �B s R$t�j� Ps8$jk� �Y� tZ8A�� BP }s�YR R�$jj 8s,� $�

$8}jsZR$Aj� �B RBj%� �Y� 8BI�j I$��{�jk sR s ��sI$�$Btsjjk PB�8Zjs��I �y_� G� }�B}BR�I R�%T

��sj ��PB�8Zjs�$Bt� }s��$sj {Bt%�- YZjj {BtR��Z{�$BtR� stI %s�$BZR {jsRR�R BP %sj$I $t�JZsj$�$�R

�B �$�Y��t �Y� PB�8Zjs�$Bt� stI ZR�I �stIB8jk ��t��s��I ��sj$R�${ t��bB�,R �B ��R� PB� �Y�

}��PB�8st{� BP I$&���t� sj�B�$�Y8${ {B8}BR$�$BtR BP �Y�R� I��$%�I R��s���$�R� G� I$R{B%���I

�Ys� $t{B�}B�s�$t� �t�$�� R��R BP �Y� }�B}BR�I %sj$I $t�JZsj$�$�R {st $t{��sR� �Y� R$9� BP �Y�

8BI�j R$�t$h{st�jk stI 8s,� $� $t��s{�sAj�� bY$j� %��R$BtR Ys%$t� {s��PZjjk R�j�{��I R��R BP

RZ{Y %sj$I $t�JZsj$�$�R {st ��t��sjjk �tYst{� �Y� B%��sjj }��PB�8st{�� �B��B%��� bY�t �Y�

N_ ��js-s�$Bt $R RBj%�I PB� �Y�R� �$�Y��t�I %��R$BtR� s ��js�$%�jk ���s��� tZ8A�� BP %s�$sAj�R

�Z�t BZ� �B A� A$ts�k %sjZ�I� GY�t �Y�R� A$ts�k %s�$sAj�R s�� wY�Z�$R�${sjjkD h-�I $t %sjZ�

�B ��IZ{� �Y� R$9� BP �Y� �y_ �Ys� $R P�I $t�B ]_Ne�� �Y� ]_= �$8�R �B RBj%� �Y� }�BAj�8

s�� ���s�jk ��IZ{�I� bY$j� �Y� JZsj$�k BP �Y� RBjZ�$Bt $R Btjk 8$jIjk I���sI�I w�Y� s%��s��

BA`�{�$%� %sjZ� s��s$t�I �����0 BP B}�$8sj$�kD�

qY� A�R� BP �Y�R� 8��YBIR ��R��I �Z�t�I BZ� �B A� st $t����s��I s}}�Bs{Y �Ys� �8}jBk

R�j�{��I %sj$I $t�JZsj$�$�R AsR�I Bt _�B}BR$�$BtR d� 1� stI n� ��t��s�$t� {Z�R P�B8 s R�}T

s�s�$Bt �BZ�$t�� stI {BtR��Z{�$t� s }s��${Zjs� }s��$sj {Bt%�- YZjj ��}��R�t�s�$Bt� =R$t�

�Y$R $t����s��I s}}�Bs{Y sjBt� b$�Y }�B}��jk R�j�{��I ]_Ne� R��s���$�R {Z�R �Y� ]_= �$8�

Ak st s%��s�� Ps{�B� BP ��;M PB� �Y� 1((Tj�� ��R� }�BAj�8 ��BZ}� sR�I Bt �Y� $t����s��I

s}}�Bs{Y� b� }�B}BR�I s Y�Z�$R�${ s}}�Bs{Y stI st B}�$8sj$�k s}}�Bs{Y� qY�R� �bB s}T

}�Bs{Y�R b��� ��R��I Bt RB8� }�s{�${sj R$9� }�BAj�8R stI k$�jI�I %��k �t{BZ�s�$t� ��RZj�R�

3B� �-s8}j�� s �k}${sj js���TR{sj� }�s{�${sj R$9�I }�BAj�8 $t%Bj%$t� d�(E( 4$�Y�R stI nn�dx(

Page 108: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

�M

}s�YR� b$�Y n�E 4$�Y�R stI ; �k}�R A�jBt�$t� �B �Y� I�R$�ts��I Ps8$jk� bsR RBj%�I b$�Y$t

E YBZ�R� Bt s 7=W =j��s d GB�,R�s�$Bt Ys%$t� 1E( � iV� stI s {jB{,TR}��I BP dE�

�<9� qY$R $R s{{�}�sAj� {BtR$I��$t� �Ys� RZ{Y 8BI�jR s�� RBj%�I s� s }jstt$t� R�s�� $t �Y�

I�{$R$Bt }�B{�RR�

VtB�Y�� ��T4���$t� 8BI�j }�B}BR�I Ak Fs��sY �� sj� w1(((D ��R�R }�BAj�8R Ys%$t� 1;d

�B MdM 4$�Y�R� qY�$� 8BI�j bsR RBj%�I Bt st <_ ]dE( bB�,R�s�$Bt b$�Y 1xE � iV� stI

s {jB{,TR}��I BP dE( �<9� qY�$� RBjZ�$BtR b��� BA�s$t�I b$�Y$t Bt� YBZ�� qY� I$&���t{�

A��b��t BZ� 8BI�j stI �Y�$�R j$�R $t �Y� 8B�� s{{Z�s�� stI ��sj$R�${ }s�Y j�%�j I�8stI

$tPB�8s�$Bt �Ys� b� {BtR$I��� VR sPB��T8�t�$Bt�I� �%�t �Y� 1((T4$�Y� }�BAj�8R Ys%� st

s%��s�� BP ;;1; }s�YR� bY${Y $t{��sR�R �Y� tZ8A�� BP {BtR��s$t�R I�sR�${sjjk� <�t{�� BZ�

{jsRR BP }�BAj�8R s�� R$�t$h{st�jk 8B�� {Ysjj�t�$t��

E�1 3Z�Z�� i�R�s�{Y *$��{�$BtR

qY� js���R� ��R� t��bB�, {BtR$I���I $t BZ� ��R�s�{Y� Ys%$t� d�(E( 4$�Y�R $t �B�sj� b$�Y

n�E 4$�Y�R $t �Y� I�R$�ts��I Ps8$jk� $R {B8}s�sAj� �B ��sjTR$9�I t��bB�,R $t �Y� s$�j$t�

$tIZR��k� qB PZ��Y�� %sj$Is�� �Y� }�B}BR�I s}}�Bs{Y� b� ��{B88�tI �Ys� $� A� ��R��I Bt

8B�� t��bB�,R BP �Y$R �k}�� Ys%$t� s %s�$��k BP I�8stI I$R��$AZ�$BtR�

<st� �� sj� wd��xD }�B}BR�I tBI� s�����s�$Bt stI $RjstI {BtR��Z{�$Bt s}}�Bs{Y�R PB�

RBj%$t� js���TR{sj� 4��� sRR$�t8�t� }�BAj�8R� qY�R� s}}�Bs{Y�R b��� $8}j�8�t��I Ak 8stk

��R�s�{Y��R wR��� PB� �-s8}j�� Fs��sY �� sj�� 1(((D� stI RYBbt �B A� %��k �&�{�$%�� <st�

�� sj�:R ��RZj�R RYBb �Ys� tBI� s�����s�$Bt sjBt� {st j�sI �B s ��IZ{�$Bt BP �Y� ]_= �$8�R

PB� �Y� 4��� sRR$�t8�t� }�BAj�8 Ak s Ps{�B� BP 1 �B �� VR s �B}${ PB� PZ�Z�� ��R�s�{Y� �Y�R�

Page 109: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

��

R��s���$�R {BZjI A� s}}j$�I �B BZ� 8BI�j PB� �tYst{$t� �Y� }�BAj�8 YstIj$t� {s}sA$j$�k�

qY� 8BI�j b� }��R�t��I RBj%�R �Y� ��T4���$t� }�BAj�8 PB� s R$t�j� Ps8$jk� yt �Y$R {sR��

�Y� R�JZ�t{� $t bY${Y �Y�R� 8BI�jR PB� �Y� Ps8$j$�R s�� RBj%�I b$jj Ys%� st $8}s{� Bt �Y�

B%��sjj I�{$R$Bt� Vtsjk9$t� �Y$R $RRZ� $R stB�Y�� ��R�s�{Y I$��{�$Bt� 3Z��Y��8B��� **i

8BI�j {st A� �-��tI�I RZ{Y �Ys� ��T4���$t� $R IBt� PB� sjj Ps8$j$�R R$8Zj�st�BZRjk wsR jBt�

sR �s{Y j�� $R ��TsRR$�t�I b$�Y$t $�R B�$�$tsj Ps8$jkD�

G� Ys%� }��R�t��I PBZ� ��sI�I 8BI�jR $t �Y$R �Y�R$R� stI Ys%� }�B}BR�I s R}�{$h�I

RBjZ�$Bt s}}�Bs{Y PB� �Y� AsR${ R��Z{�Z��I 8BI�j $t �Y$R R��� qY� 8B�� sI%st{�I **i

8BI�jR� sR b�jj sR �Y� 8BI�j b$�Y 8s$t��tst{� {BtR��s$t�R bY${Y $R $t{jZI�I $t �Y� s}}�tI$-

BP �Y$R �Y�R$R� Ys%� {���s$t sII$�$Btsj P�s�Z��R stI {BtR��s$t�R bYBR� R��Z{�Z�� t��IR �B A�

PZ��Y�� �-}jB��I $t B�I�� �B �-��tI BZ� RBjZ�$Bt s}}�Bs{Y �B RBj%$t� �Y�R� }�BAj�8R�

yt �Y$R �Y�R$R� b� Ys%� PB{ZR�I Bt �Y� 8BI�j stI RBjZ�$Bt s}}�Bs{Y�R PB� �Y� ��T4���$t�

}�BAj�8� b$�YBZ� sII��RR$t� stk P��IAs{, }�B{�RR �B �Y� $t$�$sj 4���$t� R�s��� Vt $8}B��st�

PZ�Z�� ��R�s�{Y I$��{�$Bt {st A� s R�ZIk Bt YBb �Y� $t$�$sj 4��� sRR$�t8�t�� �Y� **i

}�BAj�8� stI �Y� RZAR�JZ�t� Rbs}}$t� }�B{�RR $t���s{�� stI Bt �Y� $8}s{� BP �Y� $t$�$sj

4��� sRR$�t8�t� Bt �Y� **i }YsR� stI �Y� Rbs}}$t� 8�{Yst$R8R�

3$tsjjk� BZ� 8BI�j $t����s��R �Y� 4��� sRR$�t8�t� 8BI�j stI �Y� ��%�tZ� 8sts��8�t�

I�{$R$Bt R��s���k b$�Y s PB{ZR Bt }s�Y j�%�j I�8stI $tPB�8s�$Bt� 3Z��Y�� ��R�s�{Y {st

$t{jZI� B�Y�� R{Y�IZj$t� {BtR$I��s�$BtR RZ{Y sR s$�{�sP� �BZ�$t� stI {��b R{Y�IZj$t�� sR

b�jj sR B�Y�� k$�jI 8sts��8�t� I�{$R$BtR� RZ{Y sR }�${$t� stI }�B��{�$Bt j�%�j I�{$R$BtR�

Page 110: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

V}}�tI$-

V}}�tI$- d e-��tI$t� 3V� b$�Y �s$t��tst{� ]BtR��s$t�R

VR 8�t�$Bt�I A�PB��� s$�{�sP� 8s$t��tst{� ��JZ$��8�t�R s�� {�Z{$sj {BtR��s$t�R �Ys� t��I

�B A� Rs�$Rh�I Ak �Y� s$�{�sP� R{Y�IZj�R� qY�R� 8s$t��tst{� ��JZ$��8�t�R $t{jZI� 8s`B�

stI 8$tB� }s�� $tR}�{�$BtR stI �BBj ��}js{�8�t�R �Ys� t��I �B A� }��PB�8�I ���Zjs�jk� qY�

3�I��sj V%$s�$Bt VI8$t$R��s�$Bt w3VVD ��JZ$��R PBZ� �k}�R BP s$�{�sP� 8s$t��tst{�� ,tBbt

sR �Y�V� � ] stI* {Y�{,R wpB}sjst stI qsjjZ�$� d��MD� V8Bt� �Y�8�V stI {Y�{,R s��

RYB���� �Yst 1; YBZ�R w]js�,�� d��ED� V {Y�{,R s�� �Y� 8BR� P��JZ�t� w�%��k Ex 4$�Y� YBZ�R

s{{B�I$t� �B 3VV:R ��JZ$��8�t�D� stI s�� �Y� RYB���R� wsABZ� ; YBZ�RD� bY���sR {Y�{,R

��JZ$�� d( �B dx YBZ�R� <Bb�%��� s$�j$t�R ��t��sjjk $8}BR� R��${��� 8s$t��tst{� {BtR��s$t�R

�Yst 3VV ��JZ$��8�t�R �B �tRZ�� RsP��k� yt sII$�$Bt� �Y� �k}� BP 8s$t��tst{�� P��JZ�t{$�R�

IZ�s�$BtR� stI �Y� ��JZ$��I �JZ$}8�t� stI 8s$t��tst{� R�s�$BtR %s�k I�}�tI$t� Bt �Y�

{Bth�Z�s�$Bt BP �Y� s$�{�sP�� stI �Y���PB��� s�� ZRZsjjk I$&���t� PB� I$&���t� s$�{�sP� �k}�R�

qYZR� st $t}Z� �B �Y� s$�j$t� R{Y�IZj$t� }�B{�RR $t{jZI�R s }jstt�I 8s$t��tst{� R{Y�IZj��

s�����s��I PB� �s{Y s$�{�sP� �k}�� bY${Y I�R$�ts��R s j$R� BP 8s$t��tst{� ��JZ$��8�t�R IZ�$t�

s R}�{$h�I �$8�Tb$tIBb stI s� s }s��${Zjs� 8s$t��tst{� R�s�$Bt� qk}${sjjk� s }s��${Zjs�

8s$t��tst{� R�s�$Bt YsR �Y� Ps{$j$�k �B s{{B88BIs�� Btjk s j$8$��I tZ8A�� BP s$�{�sP� �k}�R�

d((

Page 111: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d(d

Vt s$�{�sP�� �Y�t� YsR �B A� sRR$�t�I �B 4$�Y�R RB �Ys� $� R}�tIR �tBZ�Y �$8� s� s JZsj$h�I

R�s�$Bt IZ�$t� $�R 8s$t��tst{� �$8��

y� $R }BRR$Aj� �B �-��tI 3V� RZ{Y �Ys� $� sjRB $t{jZI�R s�����s�� 8s$t��tst{� {BtR��s$t�R

s� �Y� �k}� j�%�j� yt �Y� PBjjBb$t�� b� h�R� $t��BIZ{� �Y� sII$�$Btsj tB�s�$Bt �Ys� b$jj A�

t��I�I $t �Y$R R�{�$Bt� stI �Y�t ��%$R� �Y� PB�8Zjs�$Bt �$%�t $t �BI�j d �B $t{jZI� �Y�R�

s�����s�� 8s$t��tst{� {BtR��s$t�R�

VII$�$Btsj WB�s�$BtU

h U U R�� BP \ stI 4 8s$t��tst{� ��JZ$��8�t�R� $tI�-�I Ak �

-gw�D U R�� BP 8s$t��tst{� s�{R �Ys� s�� {stI$Is��R PB� Rs�$RPk$t� 8s$t��tst{�

��JZ$��8�t� �, � ; h U

- � U R�� BP 8s$t��tst{� s�{R $t �k}� 0:R t��bB�,� 0 ; x � $tI�-�I Ak E

C� U tZ8A�� BP s$�{�sP� t��I�I �B Rs�$RPk 8s$t��tst{� ��JZ$��8�t� �, � ; h U

K� � � )

T

z

Z

d, $P 8s$t��tst{� s�{ E A��$tR s� tBI� z w$t �k}� 0:R t��bB�,D�

E ; - � , z ; ] � , 0 ; x

�d, $P 8s$t��tst{� s�{ E �tIR s� tBI� z w$t �k}� 0:R t��bB�,D�

E ; - � , z ; ] � , 0 ; x

(, B�Y��b$R��

yt sII$�$Bt� b� j�� I�{$R$Bt %s�$sAj�R F � I�tB�� �Y� tZ8A�� BP s$�{�sP� wBP �k}� 0D Bt

8s$t��tst{� s�{ E $t �k}� 0:R t��bB�,� E ; - � , 0 ; x � G� sjRB Z}Is�� R��R gC � � 0 ; x �

RZ{Y �Ys� tBb �Y�k sjRB $t{jZI� �YBR� 8s$t��tst{� s�{R }sRR$t� �Y�BZ�Y �Y� {BZt�$t� �$8�

j$t��

G� �Y�t ��}js{� {BtR��s$t�R wdAD stI wd{D b$�Y {BtR��s$t�R w�nsD stI w�nAD� stI sII

{BtR��s$t�R w�n{D stI w�nID� sR �$%�t A�jBbU

3

� � �KW � � ? � � L

3

� � � K/ � � r � L

3

� � K� � � F � ) (, �z ; ] � , �0 ; x w�nsD

Page 112: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d(1

3� � � � �

? � � L3

� � � � �r � L

3

� � � � �F � � \ � , � 0 ; x w�nAD

3

� � � � �F � L FX ) C , � � ; h U w�n{D

F � U 7z0�/��, �E ; - � , � 0 ; x w�nID

!AR��%� �Ys� {BtR��s$t�R w�nsD stI w�nAD tBb $t{jZI� �Y� s$�{�sP� ZtI�� 8s$t��tst{��

VjRB� ��{sjj �Ys� �Y� }s�s8���� C R}�{$h�R �Y� tZ8A�� BP s$�{�sP� t��I�I �B Rs�$RPk 8s$tT

��tst{� ��JZ$��8�t� �� � ; h U� qY$R $R {BtR$I���I $t {BtR��s$t�R w�n{D� G� sjjBb �Y$R

{BtR��s$t� �B A� %$Bjs��I s� s }�tsj�kU �Y$R $R IBt� Ak sII$t� Rjs{, %s�$sAj�R FX � bY${Y

{B���R}BtI �B �Y� RYB��s�� $t �Y� ��JZ$��I tZ8A��� stI Ak sII$t� ~ 7LqgLX0� � � FX

�B �Y� BA`�{�$%� PZt{�$Bt� bY��� ~ 7LqgLX0 $R �Y� }�tsj�k }�� Zt$� RYB��s�� $t 8s$t��tst{�

��JZ$��8�t�R� WB�� �Ys� A�{sZR� BP �Y� {�$�${sj ts�Z�� BP �Y� 8s$t��tst{� ��JZ$��8�t�R� $t

j$�Z BP s j$t�s� }�tsj�k ���8 PB� �Y� Rjs{, %s�$sAj�R FX � b� {BZjI sj���ts�$%�jk Ys%� $8}BR�I

RB8� $t{��sR$t� �s�� }�tsj�k PZt{�$Bt� stI\B� ABZtI�I �s{Y FX P�B8 sAB%� Ak s 8s-$8Z8

}��8$RR$Aj� %$Bjs�$Bt $t �Y$R 8s$t��tst{� ��JZ$��8�t�� 3$tsjjk� {BtR��s$t�R w�nID ��JZ$��

�s{Y 8s$t��tst{� %s�$sAj� �B A� $t����sj�

VR 8�t�$Bt�I }��%$BZRjk� �Y�R� s�����s�� 8s$t��tst{� {BtR��s$t�R b$jj Btjk sRRZ�� �Ys�

�Y� 8s$t��tst{� s{�$%$�$�R R�j�{��I Rs�$RPk �Y� s�����s�� ��JZ$��8�t�R� AZ� �Y�k {sttB�

�Zs�st��� Rs�$RPs{�$Bt BP �Y� 8s$t��tst{� ��JZ$��8�t�R Ak �s{Y $tI$%$IZsj s$�{�sP� w�s$jD�

qYZR� $� $R }BRR$Aj� �Ys� s P�sR$Aj� 8s$t��tst{� R{Y�IZj� $t �Y� �k}� j�%�j RBjZ�$Bt �Z�tR

BZ� �B A� $tP�sR$Aj� $t �Y� $tI$%$IZsj s$�{�sP� �s$j j�%�j }�BAj�8� 7Z{Y {Bt4${�R t��I �B A�

��RBj%�I $t �Y� �BZ�$t� 8BI�j�

Page 113: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

i�P���t{�R

VAs�s� F� wd�M�D� V}}jk$t� yt����� N$t�s� _�B��s88$t� �B �Y� 3j��� VRR$�t8�t� _�BAj�8�

yt���Ps{�R� zBj� d�� 1(u1M�

s�tYs��� ]�� BjstI� W� N�� ]js�,�� N� G�� FBYtRBt� e� N�� W�8YsZR��� p� N�� stI 7Y�tB$� i� p�

wd��MD� 3j$�Y� 7��$t� �BI�jR PB� V$�{�sP� 3j���$t� stI iBZ�$t�� q�stR}B��s�$Bt 7{$�t{��

zBj� n1� WB� n� 1(Mu11(�

�jBAsAs� _� stI N��� 7� w1(((D� _!*7 =}Is�� Ns��� W��bB�, !T* ]Bt��Bj i�RZj�R� VpT

y3!i7 i� 7�ZIk p�BZ} ����$t�� W�b OB�, ]$�k�

����� �� e� stI <B}}��R�sI� ]� V� wd��nD� *�8stI *�$%�t *$R}s�{YU V ���YBI PB� *kT

ts8${ V$�{�sP� ]s}s{$�k VRR$�t8�t�� �BI�jR stI Vj�B�$�Y8R� !}��s�$BtR i�R�s�{Y�

zBj� ;d� WB� d� dxnudEM�

]sB� F� stI 3st� <� w1(((D� yt����s�$Bt BP !}�$8$9$t� 3j$�Y� W��bB�,� 3j��� VRR$�t8�t�R

stI V$�{�sP� iBZ��R� GB�,$t� }s}��� Wstkst� q�{YtBjB�${sj =t$%��R$�k� 7$t�s}B���

d(n

Page 114: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d(;

]js�,�� N� G�� <st�� ]� V�� FBYtRBt� e� N� stI W�8YsZR��� p� N� wd��ED� �s$t��tst{�

stI ]��b ]BtR$I��s�$BtR $t 3j��� VRR$�t8�t�� q�stR}B��s�$Bt 7{$�t{�� zBj� n(� WB� n�

1;�u1E(�

e�j�R�� i� G� wd��(D� 7$8Zjs��I Vtt�sj$t�U V qBBj PB� !}��s�$Btsj i�R�s�{Y� eZ�B}�st

FBZ�tsj BP !}��s�$Btsj i�R�s�{Y� zBj� ;E� 1�du1Md�

3�B� q� V� stI s�I� F� 3� wd�M�D� 3j$�Y� 7{Y�IZj$t� stI �s$t��tst{� sR� _jstt$t�� �stT

s��8�t� 7{$�t{�� zBj� nx� d;dxud;1n�

3BZ���� iBA���� psk� *� �� stI ���t$�Yst� � G� wd��nD� V�_NU V �BI�j$t� Nst�Zs��

PB� �s�Y�8s�${sj _�B��s8� qY� 7{$�t�$h{ _��RR�

3BZ���� iBA���� psk� *� �� stI ���t$�Yst� � G� wd���D� V�_NU V �BI�j$t� Nst�Zs�� PB�

�s�Y�8s�${sj _�B��s8 b$�Y V�_N _jZR d�E 7�ZI�t� eI$�$Bt PB� �${�BRBP� G$tIBbR�

*Z-AZ�k _��RR�

pB}sjst� i� stI qsjjZ�$� �� q� wd��MD� �s�Y�8s�${sj �BI�jR $t V$�j$t� 7{Y�IZj� _jstt$t�U

V 7Z�%�k� VttsjR BP !}��s�$BtR i�R�s�{Y� zBj� �E� dxxudMx�

Page 115: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d(x

<st�� ]� V�� s�tYs��� ]�� FBYtRBt� e� N�� �s�R��t� i� e�� W�8YsZR��� p �N�� stI 7$�$RT

8BtI$� p� wd��xD� qY� 3j��� VRR$�t8�t� _�BAj�8 T 7Bj%$t� s Ns���T7{sj� yt�����T

_�B��s8� �s�Y�8s�${sj _�B��s88$t�� zBj� �(� WB� 1� 1ddu1n1�

Fs{BAR� q� N�� is�j$&� i� �� stI 78$�Y� � ]� w1(((D� 7Bs�$t� b$�Y 7kt{Y�Bt$9�I 7kR��8R�

!i\�7 qBIsk� VZ�ZR� 1(((� nEu;;�

Fs��sY� V� y�� pBBIR��$t� F�� Ws�sR$8Yst� i� w1(((D� Vt �^{$�t� s$�j$t� ��T4���$t� 8BI�j

PB� �Y� $t{��8�t�sj 8BI$h{s�$Bt BP }jstt�I 4��� sRR$�t8�t�R� q�stR}B��s�$Bt 7{$�t{��

zBj� n;� WB� ;� n;�unEn�

�$�,}s��${,� 7�� p�js��� ]� *� F�� stI z�{{Y$� �� _� wd�MnD� !}�$8$9s�$Bt Ak 7$8Zjs��I

Vtt�sj$t�� 7{$�t{�� zBj� 11(U E�duEM(�

�sYs`st� 7� stI %st ik9$t� p� wd��MD� 7�B{,$t� i��s$j VRRB��8�t�R ZtI�� *kts8${ ]BtT

RZ8�� 7ZAR�$�Z�$Bt� GB�,$t� _s}��� ]BjZ8A$s =t$%��R$�k� WO�

�{p$jj� F� stI %st ik9$t� p� wd���D� i�%�tZ� �sts��8�t�U i�R�s�{Y !%��%$�b stI

_�BR}�{�R� q�stR}B��s�$Bt 7{$�t{�� zBj� nn� WB� 1� 1nnT1xE�

�Zj%�k� F� ��� zstI��A�$� i� F� stI ��t$BR� 7� V� wd��xD� iBAZR� !}�$8$9s�$Bt BP Ns���T

R{sj� 7kR��8R� !}��s�$BtR i�R�s�{Y� zBj� ;n� WB� 1� 1E;u1���

Page 116: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d(E

_sR�B�� F� wd���D� *�8stI *�$%�t *$R}s�{YU V 7�B{YsR�${ V}}�Bs{Y� Vpy3!i7 7k8}BT

R$Z8� W�b !�j�stR� NBZ$R$sts�

iZRY8�$��� i� V� stI �Bt�B�$B��$R� 7� V� wd���D� VI%st{�R $t �Y� !}�$8$9s�$Bt BP V$�j$t�

3j��� VRR$�t8�t�� q�stR}B��s�$Bt 7{$�t{�� zBj� nd� WB� 1� dx�udE��

i�-$t�� �� s�tYs��� ]�� �t$,��� q�� Fs��sY� V� stI ��$RYts8Z��Yk� W� w1(((D� V$�j$t�

3j��� VRR$�t8�t� b$�Y q$8� G$tIBbR� q�stR}B��s�$Bt 7{$�t{�� zBj� n;� WB� d� du1(�

7Y��sj$� <� *�� VIs8R� G� _� stI *�$R{Bjj� _� F� wd��MD� e-}jB$�$t� 7}�{$sj 7��Z{�Z��R $t

]BtR��Z{�$t� s <$��s�{Yk BP i�js-s�$BtR PB� (Td �$-�I yt����� _�BAj�8R� !}��s�$BtR

i�R�s�{Y� zBj� ;E� WB� n� n�Eu;(x�

7Y��sj$� <� *� stI *�$R{Bjj� _� F� w1(((D e%BjZ�$Bt stI 7�s��TBPT�Y�TV�� $t yt����� _�B��s8T

8$t�� FBZ�tsj BP ]B8}Z�s�$Btsj stI V}}j$�I �s�Y�8s�${R� zBj� d1;� WB� du1� nd�un;(�

7Y��sj$� <� *� stI N��� O� p� wd��xD� 7�JZ�t�$sj stI 7$8Zj�st�BZR N$P�$t�R BP �$t$8sj ]B%��

yt�JZsj$�$�R PB� p�t��sj$9�I =}}�� BZtI ]BtR��s$t�I �ts}Rs{, _Bjk�B}�R� 7yV�

FBZ�tsj !t *$R{���� �s�Y�8s�${R� zBj� M� WB� d� dnnudxn�

Page 117: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

d(�

78$�Y� *� <�� <Z�j�k� 7� stI qY$�j� 7� =� wd��xD� 3��JZ�t{k VRR$�t8�t� Vj�B�$�Y8R isI$BT

{B88Zt${s�$BtR V��t{k V����8�t�� yt���$8 i�}B��� i�P� i]]� (�(�

7BRtBbR,s� *� w1(((D� !}�$8$9s�$Bt BP s 7$8}j$h�I 3j��� VRR$�t8�t� _�BAj�8 b$�Y ���sT

Y�Z�$R�${RU 7$8Zjs��I Vtt�sj$t� stI piV7_� V}}�B-$8s�$Bt stI ]B8}j�-$�k $t WZT

8��${sj !}�$8$9s�$BtU ]Bt�$tZBZR stI *$R{���� _�BAj�8R� �jZb�� V{sI�8${ _ZAj$RYT

��R� ;��u;MM�

qsjjZ�$� �� q� wd��ED� 7bs}}$t� V}}j${s�$BtR $t s *s$jk V$�j$t� 3j��� VRR$�t8�t�� q�stRT

}B��s�$Bt 7{$�t{�� zBj� n(� WB� n� 1n�u1;M�

q�BIB�B%${� *� wd�MMD� V$�j$t� !}��s�$BtR i�R�s�{Y� pB�IBt stI ��s{Y 7{$�t{� _ZAj$RYT

��R� W�b OB�,�

%st ik9$t� p� w1(((D� GYk G� W��I *$R{���� ]YB${� qY�B�k $t i�%�tZ� �sts��8�t�2

Vpy3!i7 7k8}BR$Z8� W�b !�j�stR�

OZ� p� stI Ost�� F� wd��MD� !}�$8$9s�$Bt V}}j${s�$BtR $t �Y� V$�j$t� ytIZR��k� $t <stIABB,

BP ]B8A$ts�B�$sj !}�$8$9s�$Bt� zBj� 1� �jZb�� V{sI�8${ _ZAj$RY��R�

Page 118: V *‡8stI *—$%‡t i‡T4‡‡˝$t˙ V}}—Bs{Y PB— V$—{—sP˝ VRR$˙t8‡t˝ …€¦ · n˚; VN‡˙T sR‡I3j‡‡˝VRR$˙t8‡t˝ BI‡j ˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚˚

z$�s

�$sB8�$ �YZ bsR AB�t Bt �s�{Y �� d��E $t �$:st� ]Y$ts� 7Y� I$I Y�� 7 $t ytIZR��$sj

yt���ts�$Btsj q�sI� P�B8 �Y� �$:st F$sB�Bt� =t$%��R$�k� VP��� {B8}j��$Bt BP Y�� 7� RY�

{Bt�$tZ�I ��sIZs�� R�ZIk $t �Y� ytR�$�Z�� BP 7��s���k stI *�{$R$BtT�s,$t� $t �Y� �$:st

F$sB�Bt� =t$%��R$�k PB� �bB k�s�R� yt VZ�ZR�� d���� RY� R�s���I �B }Z�RZ� Y�� �sR���:R

I����� $t ytIZR��$sj et�$t���$t� s� z$��$t$s q�{Y� *Z�$t� Y�� �7� RY� 8s$t�s$t�I R��Bt�

s{sI�8${ s{Y$�%�8�t�R� 7Y� bB�,�I PB� �Y��� R�8�R���R sR s q�s{Y$t� VRR$R�st� $t �Y�

p�sIB *�}s��8�t� BP ytIZR��$sj stI 7kR��8R et�$t���$t�� stI Bt� R�8�R��� sR s i�R�s�{Y

VRR$R�st� b$�Y *�� $RY Bt �Y� *�8stI *�$%�t i�T4���$t� }�B`�{��*Z�$t� Y�� R�{BtI k�s�

sR s �sR���:R R�ZI�t�� RY� Y�jI �Y� }BR� BP "z${� _��R$I�t� BP yW3!i�7"� z$��$t$s q�{Y

]Ys}����

VP��� ��sIZs�$Bt� RY� `B$t�I e-���� p�BZ} stI b$jj A� bB�,$t� sR st yq {BtRZj�st�� <��

��R�s�{Y $t����R�R s�� $t V$�j$t� !}��s�$BtR i�R�s�{Y stI !}�$8$9s�$Bt�

d(M