Fakultät für Mathematikschachermayer/pubs/preprnts/prpr0084.p… · TXP'VXP^VegiYZP G] Ö] TÉS...

34

Transcript of Fakultät für Mathematikschachermayer/pubs/preprnts/prpr0084.p… · TXP'VXP^VegiYZP G] Ö] TÉS...

  • ������������������������������������� ������������! "��#%$')(����*��+����,���-���&��$&�����.��#/$0 "����$&�"�����"�

    1�2�3547698;:�4=:�

  • $�&�� � Y 02� ! 5 0m �+0 ! &��v7(' � �#5 ! 58' � 'b- � ' � )

  • � 2ZCL����Kz:���� :�J:���Öa � P r ` s d�Ved;SfVzVXd=PRTXP�ScTXP�V{ q g[7m=PRQHPR[7mpP%[\V r V q Q=Q7g[=oVegiYZP r�" Sc[7m$#�m=P)-7[=P/m q [�gV%j � q Vedd7SNg[=oZSc[P)3pQ q [=P%[\VegnS v mpg r VXTeg �=` VXg q [,�gVedQ7SUTXSUY&yP'VXPRT"9O�P)-7[=P%� ���

    � `k[&'( ') ] q T+*-, "�. # ] q T+*-/ "�. # SU[7m " [ "0. #1 ] q T+*-/ "�. # SU[7m2# [ "�. #

    «V�g r P/S r � V q UP%Teg] � Ved;SfV�� g r S v Y q9r V r ` TXP v2� ÉP vv y«m=P)-7[=P/m,SU[7m,g r gi[7mpPRP/m�S�YScTeVegi[=o\S v P�gVed>TXP r QHP s V&V q Ved=P�- v VeTÅSfVeg q [ ]u ` a `ed?f g oUP%[=PRTÅSfVXP%m ��� � t^d=P,mpPRVeP%TeYZgi[=g r Veg s ]Sc[;mVed7PRTXP'] q TXPzQ=TXP%m=g s VXS �7v P?aDQ=T qNs P rXr3� ` [ J ` g r �ðyÃgi[\VePRo9TXS �=v P�]g[�Ved=P r P%[ r P q ]�\VegiP v V8F{P r aÉSc[;m�,[ � 94� g r �P viv y~mpP4-7[=P%m I

    � ` [&'( ') ] q T+*5, "6. #87�] "0. #pa ] q T+*5/ "6. # SU[7m " [ "0. #1 87�] "0. #pa ] q T+*5/ "6. # SU[7m$# [ "�. #

    ` V9� ]Scg v r V q � P,S,YSUTWVXg[=o\S v PS r;: �=< � `>< �@[@?j�] q T�S vv *%A 7j�Sc[;m gV�g r [ q V�d7ScTÅmV qbr PRP5VXd7SfV9� S v rWq ]SUg v r V q � P�S v qps S v YScTeVegi[=o9S v P ] r PRP

  • �K�� � ��M�W����8S K / 065 9 � � � � ��) ! 5 �U9 ��"E� Y �&U587(& ��'��60 � ' ! �����G5 ! � � ��F � 5A=#�#" � ��! " 'q7(�#"�H�#) ! 5 �:9 �#"E�G�H�*�#0 � )S r gioUYSfy«YScTeVegi[=o9S v PZ] q T&�d=g s dAVXd=PRTXP,m q P r [ q V5P)3Ag r VSc[AP�� ` gfS v P%[9VYScTeVegi[=o9S v P�YZP%S r ` TXPUED� y [� �2�H�#)� yz~[,Ved=P�SUQ=Q v g s SfVXg q [ r V q abScVed=P%YZScVeg s S v5+ gi[7SU[ s P�SU[7m�gi[�Q7ScTeVeg s `7v SUT�gi[,Ved=Ps'q [\VeP)3NV q ] �L)658725 �:9 � � �;&��(� 9 5 �:9 � �+)65A=#� ! 5A=#� 02�(7 � )65 ! 58�60 F+B � ' � �#)2F25 ! )

  • ]ògiggAa�� [ � 9 � �&��+)*� ! &�� � � 5 ��! � 9 )*��F2"E���6��)

  • q ]7Ved=P_� ' � / )2F+5 ! )

  • ` VDg] ���� g r�q [ v2� S r `�� y sRq [=P q ]�hjH]Q q\rer g �7v�� TXP%m ` s P%m�V q � � a¤j/ÉP s SU[ q [ v2� r S � Y ` s dv P rXr I -7T r V q ]^S vv j4YKJ5[=P%P%m [ q V � P Jcy«g[\VeP%oUTÅS �=v PU ` V�PR9PR[ S rXr ` YZg[=o�VXd7SfV : � � � YKJ �P)3pg r V r ÉP s Sc[=[ q VLS rXr P%TWV�Ved;SfV�Ved7g r fS v` P�P�� ` S v r RPRT q @p�P s SU[ q [ v�� S rXr P%TWV^Ved;SfV

    ]��t :*� �D� Y J �Aa [ :*� �D� ]��t*Y J aB�-� �t ] q T.� ���� t�d=g s d�Y5P/Sc[ r VXd7SfV :�� �D��Y J � v giP r g[Ved7P s'q [7P ���� H Q q v ScT^V q ���� j=gà P9j

    :�� � � Y J � ���� H [���� h j I ]��t���a.�ð�] q T.� ������[���� h j I ]��t���a.�®&] q T.� ������

    t^d=P&[=P)3NV v PRYZYS��g viv giYZQ v�� VXd7SfV/j ��� Q7S rer g[7oZ]òT q Y J V q Sc[�Pq� ` gifS v PR[\V�Q7T q � S � g v gV �YZP%S r ` TXP �5 ! & �#5 0 ! � � 7(� � 1 J � 5 � ! ' ! �#"L=?��)658� ! 58' �� '#)6�^"E�+0(0 ! &�� ��� A®7j9�PLYS �TXPRYZP%m �l� q VedbQ q9rXr g �=v P�mpPR]òP s V rzq ] J I ` [;mpPRT VXd=P�P43NQHP s VXScVeg q [ q ]4Y J g r �P viv y«mpP4-7[=P/mSc[;m�gVzPq� ` S v r %PRT q t^d=PbgnmpP/S ] q T�Ved=PbQ7T qNq ] q ]�VXd=g r v PRYZYS o q P r � S s h g[ Ved=P r QHP s gnS v s S r P � [ )Sc[;m��� [��/ � V q Ved=P" q TXh q ]DO�Ha s �P'VXd�� ab7)�«�K� �ZSUW W M KrX � ! J F(���j��)

  • «V>g rAr VeTÅScgioUd\VW] q Te^ScTÅm V q UPRTXg] � Ved;SfV - g r SíQ=T q � S � g v gV � Y5P/S r ` TXPUj - � xZt� - 1 G � ,�� 7c=j � - 7 � G �� � SU[7m r ` s d,Ved;SfV

    ]��t : � 7 � YKJ �aZ[ : � 7 M ]��t(Y J a O � ]{ 1 � 7U�Ua : �,+ � ]��t(YKJqaB� 1 � � � + q T � A � go�P%[ q ` o9d�VXd=P�TXgo9d9VDd7SU[7m r gnmpP � P s'q Y5P r [=PRo\SfVXg9PÉ�d=g s d5oUgiUP r VXd=P�mpP r giTeP/ms'q [\VeTÅSUmpg s VXg q [.|�S r P� I ��g r SUm=Y5g rXr g �=v PUjpgà P9j]��t(Y J aÉg r ]òP rer PR[\VXgiS vv2� a ` [=g] q TeY v2�D� q ` [;mpP%m,]òT q Y � P v q "~[&Ved=g rs S r P^�PÉhN[ q ]òT q Y�Ved=P��PRQ=Q q y=!.P%NgNVed=P q TXPRYíVed;SfVDVed=P�TÅSc[;m q Y fScTXgnS �=v P1]��t(Y J ag r J y«gi[9VXPRo9TXS �=v P�SU[7mVed;SfV :*� �D�E]��t*Y J a � � %@]ò[ q VeP"VXd7SfV/jH] q TLP/S s d � h � j;�P�d7S9PVed;SfV�]��t*Y J a . � g r gi[ � Sc[;m�VXd=PRTXP'] q TeP :�� � � ]��t*Y J a . �G�+�®:a¤ v req [ q VePzVXd7SfVp]��t*YKJqa s Sc[7[ q V � P�Pq� ` S v V q �S7 r j � P s S ` r P�S r �P r S S � q UP�VXd=PRTXPLg r S� � r ` s d�Ved;SfVR]��t*��a5A®5Sc[;m�d=P%[ s PH]��t*YKJ2a s Sc[7[ q V^Pq� ` S v %PRT q S7 r DPRgVed=P%T%lt^d=P � qzT � gVeTÅSco9P&Q=T q QHPRTeV � Ved=P%[)VXP viv r ` r Ved7ScV J'�E]��t(Y4a9A ��xS r ÉP vv S r J'�E]��t(Y4a9, ��xScTXP� q Ved r VeTXg s V v2� Q q9r gVXg9PU P[=P)3NV q � r P%Te9P�VXd7SfV"] q T�S viv�� A ,Ved=P�fSUTegnS �=v PZP)3pQp] � ]��t*Y J2a � a�g r � q ` [7mpP/mI,t^d=PYZP%S r ` TXP G jpoUgiUP%[ ��� j �,+j � � [ ����� ]�� � ( � � �

    � a! " � 5 ����� � � � ( � � � � � g r Ved7PRTXP'] q TXP�ÉP vv mpP4-7[=P/mI + q T � r YS vvPR[ q ` o9d,�P"S v rWq d7S9PLVXd7SfV � G 1 J � ,'�p ` V G S v rWqZr ScVeg r -;P r I:�� + � ]��t*Y J aB� ,

    ~[7mpP%P%m I

    : � � M P43NQ�� � ]��t*YKJqa ��� ]��t*YKJqa O[ 1 :�� � M P)3pQ � � ]��t*Y J a � � ]��t(Y J a � O P :�� � M ]��t*Y J a � O, 1 : � � M ]��t*YKJ2a � O P : � � M ]��t(YKJqa � O �®

    t^d=P�YZP%S r ` TXP G m q P r [ q V�[7P s P rer ScTXg v�� r SfVeg r ] � Ved=P�TXPq� ` giTeP%Y5P%[\VxVed;SfV :�� + � � Y J � ��, ? PZVed=P%TePR] q TXPYZSUhUPS v S r V"VÅSc[ r ] q TXYSfVXg q [ SU[7m ÉPmpP4-7[=P � [ ������� �$����� � �% ! " + 5 ������� �$����� � �� � � G + q T � A®�VXPR[7mpgi[=o�V q RP%T q �P q � VÅScgi[ZVed7ScV � 1 G � VXPR[7m r V q "SU[7m :*� �E]��t*Y J a �7VeP%[7m rV q : �,+ � ]��t*YKJqaB�n�d=g s d�g r¸r VeTXg s V v2� [=P%o9SfVXg9PUD q ] q T � r YS vv PR[ q ` oUd&ÉP -7[7m&SLQ7T q � S � g v gV �YZP r S ` TXP r ` s dVed;SfV � xÉj � 1 J � ,'�Nj : � � � Y J � � , ? Sc[7m : � �E]��t(YKJ2a � , =j7Ss'q [\VeTÅSUmpg s VXg q [�V q VXd=P s d q g s P q ]-�� D!.P%YZYZSaE7 )gi[ s'q [�F ` [ s VXg q [ �gVed v PRYZYSYE=i�gYZQ v gP r gi[®Q;ScTeVeg s `=v ScTZVXd7SfV/j�o9g9PR[>Ved=Pr V qps d7S r Veg s Q7T qps P rer Y [ ]nY ` a J`MLNH �gVXdrY H >ÕLSU[7mpu H VeTXgNgnS v jÉPÉYZS � -7[;m�SzQ7T q � S � g v gV �YZP%S r ` TXP � x r ` s dAVed7ScV;Y�g r S y«YScTeVegi[=o9S v P9 P q � VXScgi[=P/m Ved7PYZP/S r ` TeP gi[V{ qbr VXPRQ r I -7T r VD] v P%YZYZS

  • �d=g s d�Y5P/Sc[ r VXd7SfV Y>g r S y«YScTeVegi[=o9S v P9~[�S9m=mpgVeg q [.j\ÉP s'q `7v m�S rer PRTeVlgi[ v P%YZYZS.E=È�Ved7ScV � J 1 � ,��pj\S�Q=T q QHPRTeV � �d=g s d��g vv� P s T ` s gnS v gi[Ved=P r Pq� ` P v t^d=P r VeTÅSfVXPRo � ] q T�Q=T q \gi[=o5Ved7P�YScgi[�Ved=P q TXPRYB�g viv� P r giY5g v ScT�V q Ved=P5S � q UP�SUQ=Q=T q S s d�� giUPR[®Sbo9PR[=P%TXS v r PRYZgy«YScTeVegi[=o9S v P Y [ ]_Y ` a `ed?f gAmpP4-7[=P/m q [ ]ns1tbuvtq]8u ` a `ed?f g�tbx>a�ÉP-7T r V�TeP%Q v S s P�x ��� J � x r ` s d�Ved;SfV J �{VÅSch9P rLs ScTXP q ]VXd=PZSUmpYZg rer g �7v P&g[\VeP%oUTÅSc[7m r �7jgà P9j

    : � � �E] 7 9qY4a � � � �t ] q T`7�SUmpYZg rer g �7v P + q TxVXd=g r -;T r V r VeP%Q.j\Ved=P�[=P s P rXr ScT � VXP s d=[ q v q o � d7S r � PRPR[mpPR9P v q QHP%m�g[�� O�p��"�FSU[7m�YS �� P s ScTXTXgP/m q UP%T�S v Y q\r V�9PRT � SfVXgY�t^d=P�[7PRíg[7oUTXP%mpgiPR[\VLmpP%UP v q QHP%m�gi[�Ved7P�Q=TXP r PR[\VLQ7SUQ;P%Tzg r Ved=P r P s'q [;m r VXPRQ��d=g s d�VXSUhUP rs SUTeP q ].VXd=P[� � gio`F ` Y5Q r � q ]>Y�D � TXPRQHP%ScVeP%m,ScQ=Q v g s ScVeg q [ q ]�Sc[ScTXo ` YZPR[\V^S r g[ v P%YZYZSE=ÈAS � q 9P)�P) q `=v m v gihUP V q s d;Sc[=o9P J>g[\V q S Y5P/S r ` TXP t � xÉj r ` s d Ved;SfViY� P s'q YZP r S y«YScTeVegi[=o9S v P9 o v SU[ s PSfVZP)3=ScYZQ v P�p E S � q 9P�TXPRUP/S v r VXd7SfV5Ved7g r d q Q;Pg r j.gi[ Ved=PZoUP%[=PRTÅS v r P'VWVXg[7o7jIV q\q�q QpVegiYZg r Veg s Sc[7m ÉP s SU[ q [ v�� VeT � V q V ` TX[ Y gi[\V q S yr go9YZScyÃYSUTWVXg[=o\S v PU¸t^d=g r �g viv g[7m=PRP%m � P�Q q\rer g �7v P9jpg° PUijpÉP r d7S viv�� P�S �=v P�V q -7[7m Sc[;mS r VXTeg s V v�� Q q\r gVegiUPQ=TXP%mpg s VÅS �=v P�Q=T qps P rXr � j r ` s d>VXd7SfV/j -+'�) �2=#�+)6B�� � ' !R� �(7(�60(02�#)65A" B�����G5 0(0658F2"E��� �L)

  • t^d=P r P'V��D]nhkj�a q ]�Q7T q � S � g v gV � Y5P/S r ` TXP r5q [ hjAg r P�� ` gQ=QHP%m �gVed VXd=P�V q Q q v q o � q ]s'q [NUPRTXoUP%[ s P�gi[ v S"jHS v rWq�s S viv P/m�ÉP/Sch ' sRq [NUP%Teo9PR[ s PUÉ«V�g r �P viv hN[ q �[Ved7ScV��D]nhkjUazg r$ q v g r d.�«]�� I � ���D]8hj�azg r S�YScQ7Q=g[7o7jHVed=P%[bVXd=P&YZP/S r ` TXS � g v gV � q ]�� s Sc[ � P&TXP'] q TWyY `7v ScVeP%m�S r ] q viv q r I ] q TzP/S s d � q ` [7mpP/mb q TXP v ] ` [ s VXg q [ � j;ÉP�d;SUP�Ved;SfVzVXd=P�YScQ=Q7g[=o� ��� f � � ] ��a � � � ] ��aLg r �AYZP%S r ` TXS �=v P9Lt^d=g r g r P/S r g v2� r P%PR[ ` r gi[=o�Y q [ q V q [=P s v S rXr SUTWyo ` Y5P%[\V r l r g[=o r ` s d�SZoUgiUP%[,YZP%S r ` TXS �=v P�] ` [ s Veg q [� S r S5VeTÅSc[ r gVeg q [hUP%Te[=P v jp�P s SU[mpP4-7[=P^SzQ=T q � S � g v gV � Y5P/S r ` TXP�

    � q [�� �%hj�S r ] q viv q r + q T¸SU[�P v P%Y5P%[\V�� ���� � ]nhj:aq ]¸Ved7P�] q TXY�� [ � � � j=�P"mpP)-;[=P� � ]��DaZ[ ��� � � ] � a 4] � � a¤+ q TLP/S s d � � �P�mpP)-;[=P�VXd=P r P'VpY�� � � ]�� � aLS r Ved=P r ` Q7Q q TWV q ]Ved=P&YZP%S r ` TXP�� � jFg° PUVed7P r YS viv P r V s v q9r P%m r PRV q ]L] `7vv � � y«Y5P/S r ` TXPU>t^d=P r P'V�� g r mpP4-7[=P%m®S r � � t �La < �

    Y�� � � ]�� � a � t^d=P r PRV&g r SU[AP v PRYZPR[\V q ] � � � ]nhkjUa' ~[7m=PRP%m.jVXSUhUP�S s'q ` [9VÅS �=v P � S r P] # � a � J q ]¸Ved=P�V q Q q v q o � q ]hkj�Sc[7m,�TXgVXP�Ved=P sRq YZQ v PRYZPR[\VzS r I��� [��

    � J] � �

  • �K�� �RQSÕ$�V�����O8M �&� S:W W M K X � !R]��Ht��4ta F(�i� �L)

  • � �2�H�#)� yz P�d7S9P"[ q V r VXTegiUP%[,] q TLYS&3pgiYS v o9PR[=P%TXS v gV � gi[�Ved=P�] q TXY `=v SfVXg q [ q ] v P%YZYZSE=\= I ] q T�P43pSUYZQ v P9j��P s'q `7v mðTeP%Q v S s P)Ved=P Q7T q � S � g v gV � YZP%S r ` TXP r � � ��� -7[7gVXP [ q [py[=P%o9SfVXg9P&YZP/S r ` TeP r�q [ohjH5~[)VXd=g r�s S r P5ÉP5YS � q � VXScgi[bVXd=P � � gi[ r ` s d S�S � VXd7SfVVed7P�V q VÅS v YS rXr � � ]nhkj�a�P�� ` S v r � � ]nh4jUa6tFy~S v Y q9r V r ` TeP v�� t q g vvi` r VeTÅSfVXP�VXd=P�YZP%Sc[7g[=o q ]�Ved=P�|ÉT ` s gnS v !�PRYZYS��P�[ q VXP�S v gVeV v P q � r PRTXScVeg q [�gi[,Ved=Pr Q=gTXgV q ]j� ab=4�H�d=g s d r d q r g[,Q7ScTeVeg s `7v SUTxVXd=P v giY5gVXScVeg q [ r�q ]IVed=P�[ q y«SUT � gVeTÅSco9P'yÃVed=P q T ��d=P%[�SUQ=Q v gP/m�P9 o;DV q � S ` rer giSU[,Y q mpP v r ] q T^Ved=P r V qps h�TXP'V ` Te[ r g[ -7[=gVeP�m=g rXs TXP'VXP�VXgYZP9�K�� �V#T�ZT �qO�qO8TLP K X � ! ]_Y ` a C`MLNH F*� � � ��� � � ! �(� hj�� =#�#" � �(� ��) �)Sc[;ma-7[7m � � S r gi[AVXd=P v P%YZYZS7>t q VeTÅSc[ r v SfVXP�VXd=P s d;Sc[=o9P q ]LVed=Ps'q [7mpgVeg q [7S v mpg r VeTXg �=` Veg q [ rxq ] � YKJ^gi[\V q S s d7Sc[=o9P q ]FVXd=PLYZP%S r ` TeP%xÉj�-7[;m�� I s �rhj��h � j

    �D] /%t ��a4[ � � �� �� ]��La � vh j t*/ s

    r ` s dbVXd7SfV/jF] q T�x.y~S= PU / s1t�;]�/%t�9 a�g r S�9PRT r g q [ q ]lVed=PTXzS9m q [=y �Lgh q m � Y mpP%TegifSfVXg9Pq ]�� � �gVed�TXP r Q;P s V^V q � � j;Sc[7m r ` s d�VXd7SfV��l] 9 t49�a�g r u_H �> q TXP v ]8hj�a«y«YZP%S r ` TÅS �=v PU!.PRVWVXg[=o

    ���� x]�/ a4[��;]�/%t � Y J ] / aba

    �P q � VÅScgi[ Sc[ u�JÅyÃYZP%S r ` TXS �=v Pbm=PR[ r gV � q ]�SAQ=T q � S � g v gV � YZP%S r ` TXPU rXr PRTeVeg q [ ]ògAa q ]v PRYZYSTE=\=�giYZQ v giP r Ved7ScV ��� x SU[7m � � 1 x � ,'�pD rer PRTeVeg q [ ]ògigAa�gYZQ v gP r Ved;SfV

    ���� � � � Y J � f � < u H ��,�? S7 r Sc[;m : �� � � Y J < u H ��[Õ S7 r PÉScTXPl[ q V� ` gVePW-;[=g r d=P/m � PRV�S r Ved=g r�q [ v2� r d q r VXd7SfV]nY�`.a J`MLNH g r S � y r go9YSfy«YZSUTWVXg[7o9S v P�=` V�[ q V�[=P s P rXr SUTeg v2� S � y«YScTeVegi[=o9S v P�S r gV�YS � d;ScQ=QHPR[�VXd7SfV : � � � Y J � f � �[ ?L ` VgVxg r P%S r � V q"q UP%T sRq YZPxVXd=g r mpg�� s `=v V � I -7[;mS r VXTeg s V v�� Q q\r gVegiUPwu H yÃYZP%S r ` TXS �=v P�] ` [ s Veg q [e�] / a¤j7[ q TXYZS v g r P%m req Ved7ScV : �� � e_��[í�SU[7m r ` s dVed;SfV : �� � e�] / a : � � � Y J � f � < u H �2��, ? P s Sc[ s'q [ r VeT ` s V_e g r�r ` s d�SZ^S � Ved7ScV�Ved=P"Q=T q � S � g v gV � YZP%S r ` TXP mpP4-7[=P/m ���

    � ] / a� � ] / a [@e�] / a6t

    z?k

  • r Veg vv r SfVXg r -7P r�� 1 x � ,��Nlt^d7PR[:�� � � � Y J � f�� � , ?

    Sc[;m : � � � YKJ < u_H)��[�t S= r ijgà P9j�Y>g r S y«YScTeVegi[=o9S v P9t q P)3NVXPR[7m�Ved=P�S � q UP�ScTXo ` YZPR[\Vl]òT q Y " [í�V q ScT � gVeTÅScT � " �� ÉP�[=PRP/m � PRV^SU[ q VXd=PRTr YZS vv TXP)-7[=P%YZPR[\V I SU[>gi[ r Q;P s Veg q [ q ]�VXd=P,Q7T qNq ] q ] v PRYZYS/E7 =�S � q 9P�TXPR9P%S v r VXd7SfVZgi[SUm7mpgVXg q [�V q S rXr P%TWVXg q [ r ]ògAazSU[7m ]ggAa q ] v P%Y5YS�E=\=pj;SU[7m�o9g9PR[ � A�9j;�P�YS � s d qNq9r P� � r ` s dVXd7SfV

    ]ògiggAa ���� � � �� � � ���� " � f � � � $ ��� t FyxS= r P�d7SUPZ[ q V�YZPR[\Veg q [=P/m Ved=g r S9m=mpgVeg q [7S v S rXr P%TWVXg q [ gi[ q TÅmpP%T"[ q V"V q�q UPRT v q SUm v P%YZYZSE=\=5Sc[7mS r �P r d;S viv q [ v2� [=P%P%m ]ògiggAa^gi[Ved=P"Q=TXP r PR[\V�Q=T qNq ]{ r gi[=oo]ggig a'jF�gVXdN� [ r S � jFSc[7mIj s d qNq\r gi[=oTe S � q 9P�S v req ` [=g] q TXY v�� � q ` [7m=P%m ��� pjVed7P�SUTeo ` YZPR[\Vxgi[�Ved7P(-7T r VÉQ7SUTWV q ].VXd=PLQ=T qNq ] � giP v m r S�Q=T q � S � g v gV � � x t � 1 x � ,��pjr ` s d�VXd7SfV � j �j�� �! " � � � �7� q v P'V " ��ïSc[7m ]_Y�`.a C`MLNH j � S r P%m q [ ]_s1tq]8uw`ca C`MLNH tbuvtbx>a'j � P�oUgiUP%[.� � � S s h\^ScTÅmgi[7m ` s Veg q [ q [0*p[ " t tR�ScQ7Q v�� Ved=P -7T r V�Q7SUTWV q ]^VXd=PQ=T q\q ]ÉV q -7[7m uw`Ãy«Y5P/S r ` TÅS �=v PmpP%[ r gVegiP r�� ` r ` s d,Ved7ScV%j7mpP4-7[=gi[=oZVed7P"Q=T q � S � g v gV � Y5P/S r ` TXP � ` ���

    � � ` � x

    [ � `(t�P&d7S9P�VXd7SfV�Ved=P&V{ q y r VXPRQbQ=T qps P rer ]nY�� C� L�`�� J � � a ` �UL�` � J g r S � ` y«YScTeVegi[=o9S v P��gVedTXP r Q;P s VDV q VXd=P - v VeTÅSfVeg q [ ]u � a ` �!L�` � J t � ` � x t � � ` 1 x � J ,��&� � C " � J j\Sc[7m r ` s d&VXd7SfV�� ` � " � � � �;O�P)-7[=gi[=o

    � � x[

    C�`ML J � ` t

    �P q � VÅScgi[SZQ=T q � S � g v gV � YZP%S r ` TeP t � x r ` s dVed;SfV�]nY ` a C`MLNH g r S5YScTeVegi[=o9S v P ` [;mpPRT

    z~[7mpP%P%mIj

    : � � � Y�` < uw` � J ��[ : ��� � Y�` C��UL J � � < uw` � J��[�� ` � J��UL J � ��� : ��� � ` � Y�` C��!L�`�� J � � < uw` � J��[ � ` � J��UL J � � � : ������� � � Y�` C��UL�`�� J � ��< uw` � J � [Õ

    Sc[;m

    : � � � � Y�` � f � �+� �` � J��UL J � � � � 9 : � ����� � � � Y�` C��!L�`�� J � � � f � � , ?

    z

  • + g[;S viv�� ÉP�YS � P r VegiYSfVXP � 1 x � J ���

    � 1 x � J[ : ��� < C�`ML J � ` 1 �< �� : � � C� `ML J < `��UL J � � 1 ` � J��UL J � � < ��

    C�`ML J �

    ` � J��UL J � � � " � � : � ��< � ` 1 �< �� " 9)� C �&� � C " � J [ �

    t^d=P�Q=T q\q ] q ]�Ved=P�-7T r V^Q7SUTWV q ]¸Q=T q Q q\r gVeg q [�E= ��g r Ved ` r -7[=g r d7P%mSc[7m�ÉP�d7SUP r d q �[�gi[Ved7P sRq ` T r P q ].Ved=P�Q=T qNq ].VXd7SfV��P�YZS � -;[7m r ` s d�Ved7ScV%j=gi[,S9m=mpgVeg q [,V q Ved7P�S rer PRTeVeg q [ rq ]¸Ved7P"Q=T q Q q\r gVeg q [�j j �j�� g r ` [=g] q TXY v2�;� q ` [;mpP%mI r TeP%o9SUTXm r VXd=P�-7[;S v S rer PRTeVeg q [�j v PRVx�� � P5Sc[ � x�y«S � rWq v` VeP v2� sRq [\Vegi[ ` q ` r Y5P/S r ` TXPU + q ToUgiUP%[�� A®7j&-7T r VDVXSUhUP@x � �,� x r ` s d&Ved7ScV � x � � 1 x � � ,'�N � q ®ScQ=Q v2� VXd=PD-7T r VlS rXr P%TWVXg q [�gVedix�� ��TeP%Q v S s gi[=oHxÉ^ r STXP r `=v VL�P�oUPRV�Sc[bP�� ` gfS v P%[9V�YZSUTWVXg[7o9S v P"YZP%S r ` TXP r ` s dVed;SfV � 1 x�� � � ,'�Njpd7PR[ s P�S v rWq � 1 x�� � , �pt^d=g r -7[=g r d=P r VXd=P"Q=T q\q ] q ]¸Q=T q Q q9r gVeg q [�E7 � D

    ��2��"G.4��Z4=E7 �,S � q UP9j7gV�YS � d7ScQ7Q;P%[Ved;SfV�Ved=P s'q [=P q ]�SUmpYZg rer g �7v P�g[\VeP%oUTÅSc[7m r g r TÅSfVXd=PRT r YS vv Sc[7m�Q q\rer g �=v�� P%UPR[�TeP/m ` s P/mZV qRP%T q I sRq [ r gnmpPRT/j7] q TLP43pSUYZQ v P9j7VXd=P s S r P��d=P%[oY g r S s'q YZQ q ` [;m>$ q g rereq [�Q=T qps P rer �gVed]ÖV{ q y r gimpP/m�a ` [ � q ` [7mpP/m/F ` YZQ r j^gà P9jwY�`D[ ��� �� L J � � j��d=PRTXP ] �R`.a.`ed?f�g g r S�$ q g rXreq [Q=T qps P rXr Sc[7mv]�� � a �� L J Sc[5g° gà mI r Pq� ` PR[ s P q ]HTeP/S v TXSU[7m q Y SUTegnS �7v P r¸r ` s d�Ved7ScV � � �� � � [� � �� � � [ ? É| v P/ScT v�� jNS&Q=TXP%mpg s VÅS �=v P�Q=T qps P rXr 7 j r ` s d,Ved7ScV 7 96YATeP%YScgi[ r ` [=g] q TXY v2�� q ` [7m=P%m,]òT q Y � P v q "j=Y ` r V�fSc[=g r d�S v Y q9r V r ` TeP v�� | q [\VXg[ ` gi[=oZ�gVXdVed=P"o9PR[=P%TXS v r P'V ` Q�ÉP"mpP%[ q VXP �Z� VXd=P s'q [NUP)3 sRq [=P�gi[ � H ]_s1tbuvtbxkaoUgiUP%[ ���

    [����v[ ] 7 9qY4a � I 7�SUm=Y5g rXr g �=v P ��d=P%TeP&Ved=g r mpP4-7[=gVeg q [)TXPq� ` giTXP r g[ Q7ScTeVeg s `7v SUTLVXd7SfV�Ved7P5TÅSc[;m q Y fScTXgiS �=v Pl]87:9�Y4a � I [v gY `�� � ] 7 9�Y4a.`xg r ]S v Y q9r V r ` TeP v�� aÉÉP vv y~mpP)-7[7P%m ] s'q YZQ7ScTXPT� O�p��"�Ãj=m=P)-7[=gVeg q [b=È�a¤zo\Scgi[ ÉP,mpPR[ q VeP ��� � Ved=P s'q [\9P)3 s'q [7Pg[ � � ]ns1t

  • � [N] 1 � H � ]ns1t

  • P�ScTXP&[ q TeP/SUm � V q VXSch9P5Ved=P s T ` s giS v r VXPRQ g[ VXd=PZQ=T qNq ] q ]ÉVed=PYSUg[ Ved7P q TXPRY�Zt qYSch9P v g]òP�P%S r giPRT5�P r Veg vv YSch9P�VXd=P r giYZQ v g] � g[7o S rer ` YZQpVXg q [ Ved7ScVDY�m q P r [ q V�F ` Y5QSfV&Q=TeP/mpg s VXS �=v PZVegiY5P r ~[a�7 � � P v q �PT-7[7S vv2� r d7S vv S v rWq mpP/S v �gVed VXd=P s S r P q ]�Ved=PQ=TXP%mpg s VÅS �=v PDF ` YZQ r )K�� �V#T�ZT �qO�qO8TLP KHX � !�Y [ ]nY�`.a.`ed?f�g F(� � �\hj�� =#�#" � �*� 02�+�r5 � �H�#) ! 5 �:9 �#"E�/�&U587(& 5 0F � �?065 � "E�n- !n� 7(' ��! 5 ��� ' � 0 �k5 y � y �40 � 7(& ! &�� ! �U-+'�)R�+=#�+)6B���)g[\V q

    Y [�� P���d=P%TeP;��Pq� ` S v r �*Y r V q Q7Q;P/mScV^VegiY5P " 1 �=jNg° PUij

    � `k[�� Y�` ] q T+*-, "Y�C � ] q T+*-/ "Sc[;m�� Ved=P F ` Y5Q q ]kY®SfV^VXgYZP " jpgà P9j

    � `[ � Y�C

  • P"g[\VeT q m ` s P�VXd=P F ` YZQ�YZP%S r ` TXPBH S rereqps gnSfVeP/mV q � jH4] /%t � *6t � �LaZ[ � � C � � � � � � � � t

    �d=P%TeP��2` � ( mpPR[ q VeP r OLgiTXS s y«YZP%S r ` TXP"SfV�]�*6t �La h�� � hj�SU[7mÉP�m=PR[ q VeP ����� VXd=P Jys'q YZQ;P%[ r ScV q T q ]�H ] r PRP.� b\=}\!�«jcQ=T q Q��e¤9 �:a¤lNgiY5g v ScT v�� S r gi[i]?� b\=}\!�«jUQ7T q Q.�e¤ = :a¸ÉPYS � -7[7m�S v qNs S viv�� Jfy«g[\VeP%oUTÅS �=v PUjNQ=TXP%m=g s VXS �7v P"Sc[;m,gi[ s TeP/S r g[=o5Q=T qps P rXr � r ` s d�VXd7SfV

    � [�� 9 �� ] /%t � *6t � �LaZ[ � � � `6] � �La �� `2]�/ a

    �d=P%TeP��l[ ]�� � ahUPRTX[=P v ]òT q Y]ns ��h � t �Ga�g[\V q ]nh j tz q TeP v ]nh j aba¤j9g° PUij9S �"y«YZP%S r ` TÅS �=v PxYSUQv] /%t *ba � �� � ` ] � �La�]òT q Ys �vh � gi[9V q Ved=P"[ q [=[=P%o9SfVXg9P" q TeP v Y5P/S r ` TXP r^q [ hjHxNgi[ s P�VXd=P�Q=T qps P rXr P r ��SU[7m��ScTXPq� ` S r g v P']ÖV sRq [\Vegi[ ` q ` r j�Ved=P�Q7T qps P rer P r � SU[7m � s SU[ � P s d q\r P%[)V q � P s'q [\VXg[ ` q ` r j�=` V�VXd=g r g r [ q V�TXP%S viv2� [=PRP/mpP%m.t^d=P�Q=T qps P rXr � SU[7m HbSUTeP r ` s dVed7ScVx] q TÉP/S s d�[ q [=[=P%o9SfVXg9P8���� q TXP v ]8hjUalYZP/S r ` TXS �=v P] ` [ s Veg q [ � �P"d7SUP�Ved7ScV

    0 5�� f�g � f � � ]�/%t *6t*��a=H4] /%t � *6t � ��a�x ] � / a[10 5� f�g � f � � ] /%t *6t*��a � ]�/%t � *6t � ��aUx@] � / at q�r VXS � gi[ v g[7PÉ�gVed&Ved=P^[ q VXScVeg q [ ` r P/m�gi[ � b\=}\!�«j&7 � � `� � � � `Åjf�d=P%TeP 7 g r SLQ7TeP/mpg s VXS �=v PhjfS vi` P%m�Q=T qps P rer Sc[7m � g r VXd=P�h9PRTX[=P v mpP rXs TXg � P/mbS � q UP9j;mpP%[ q VXP r VXd=P�Q7TeP/mpg s VXS �=v PrhfS vi` P%mQ=T qps P rer � ��� � � ]87 � � ` t�9 a ��[ � f � ] 7 � � ` t���a ��� � ` � � �Z�à PxYS � S rXr ` YZPVXd7SfV � g r�sRq [ r VXSU[\V�Sf]ÖVXPRT " j Jcy«g[\VeP%oUTÅS �=v PlSc[;m"gV r gi[\VeP%oUTÅS v g r � q ` [7mpP%m��� q [7PUj=gà P9j : � �D� � � ��[ �� ]ns � h � a��ð t�d=P%TeP � � mpP%[ q VXP r Ved=P�Y5P/S r ` TXP q [���mpP)-;[=P%m ��� �� ] � � " J t " G � �aZ[ :�� �_� � C + 1 � C � �Ãj9] q Tr V q Q7Q=g[7o&VXgYZP r+" J � " G P�[ q r d7S vv -7[7m,S5�"y«YZP%S r ` TÅS �=v P�YScQ ]�/%t *ba � � � � ` r ` s dVXd7SfV�] q T � � y~S v Y q\r V^P%S s d]�/%t *ba¤j]°S a6� � � `6] � �La � � � � `6] � �La+t � � � `q]8h j a4[ � � � `6]8h j a^SU[7m � � � � ` 1 � � � ` � , 3 G j] � a : � ��� � � � � ��� � ��,�? SU[7m : � ��� � � �Z��[ 1 �#]�/%t *ba¤

    t^d=g r g r SAVÅS r h q ]�VXd=P)V � QHP q ]]�WYSUTWVXg[=o\S v PbQ=T q �=v PRYT� q T,TÅSfVXd=PRTc� r PRYZgyÃYSUTWVXg[=o\S v PQ=T q �=v PRYT�ZS r m=P%S v V��gVXd.j=P9 o;j=gi[Y� bNp}\U�Ãj=m=P']{We¤ = �; P�ScQ=Q v�� v P%Y5YS

  • ��� 7 � � `(t � � �! " � � ��� � g r � q ` [;mpP%m ��� 9Ét^d7ScV�Ved=P v ScVWVeP%TzQ=T qps P rXr g r Q=TXP%mpg s VÅS �=v P�] q viv q r]òT q Y VXd=P&m=g rXs ` rXr g q [Q7TeP s P%m=g[=oZVXd=P5|ÉT ` s gnS v !.PRYZYS�SU[7mP rXr P%[9VXgiS vv2� ] q vv q r ]òT q Y Ved=PYZP%S r ` TÅS �7v P r P v P s VXg q [�VXd=P q TeP%Yt^d=P � q ` [7mpP/mp[=P rer Q=T q QHPRTeV � VeTÅSc[ r v ScVeP r V q VXd=P5]S s V�Ved;SfV;7 [ ] 7 ` ]�/ aba `ed?f gbg r Sc[ ��� ��r5 0*0658F2"E� 5 ��! � 9 )7 J�� g r SU[S9mpYZg rXr g �=v P"g[\VXPRoUTÅSc[;m�] q T Y®Sc[7m[7 J�� 9�� g r SZYSUTWVXg[=o\S v P � q ` [7mpP%mgi[8� J ] J a^Sc[7m,VXd=PRTXP'] q TeP :�� �_�E] 7 J�� 9�� a � ��[Õ r �Z� d � Q q VXd=P r g r : � � � ]87 J � 9qY4a � � � �P q � VXSUg[ : � � M ] 7 J � 9�] � P � aba � O � r gi[=o5Ved=P"gnmpPR[\VXgVXgP r

    : � � M ]87 J � 9 ] � P � a

  • �d=g s dbd q v mVXT ` P�] q T�P%S s d � s'q [\VXScgi[=P/m�g[c�� �t�# � � �ÃjH] q T rWq YZP �� ��j�P s'q [ s vi` mpPVed;SfV�] q T � � y~S v Y q9r V�P%S s d ]�/%t *ba�ÉP�d7S9P

    7 � � ` �� � � `k[ : ����� � � ]87 � � `t49�aB�-� t^d=g r g[=P�� ` S v gV � giYZQ v giP r VXd7SfV�S rXr ` Y5Q=Veg q [,�g[�!.P%Y5YS%E= ��g r�r SfVXg r -7P/m�Sc[7m�d=PR[ s P � � � `r SfVeg r -7P r VXd=P"[ q ScT � gVeTÅScoUP�Q=T q QHPRTeV � jNgà P9DVed=P"d � Q q Ved=P r g r^q ] v PRYZYS�E7 =&g rzr SfVeg r -7P%mIuzP%[ s PZ�PZYZS � -7[7m S,VeTÅSc[ r gVXg q [)h9PRTX[=P v �� � � `LS r mpP rXs TXg � P%m ���bv PRYZYS E7 = � �gVed2�TXPRQ v S s P%m ��� � 7c � Sc[7m v P'VeVegi[=o � � � `Z[ �� � � ` � � � � � � � ` ÉP q � VXSUg[bS5VXTXSU[ r gVeg q [�h9PRTX[=P vr SfVeg r ] � gi[=o ] � a^SU[7mo] �+a^S � q UP9 P[ q d7S9P�V q VeTÅSc[ r v ScVeP&Ved=P s d;Sc[=o9P q ]ÉVXTXSU[ r gVeg q [ hUP%Te[=P v r ]òT q Y � � � `�V q � � � `Lg[\V qS s d;Sc[=o9P q ]lYZP%S r ` TXP r ]òT q Y JV q G q [bVed=P r gioUYSfy~S v oUP � TÅSGu�C>�d=g s db�g viv>� P5m q [=P��� m=P)-7[=gi[=o VXd=P]XzS9m q [=y �Lgh q m � Y mpPRTXgiScVegiUP j � +j � � P)TXP']òP%TV q � bNp}\U�Ãj^eW¤ E ] q T�SVeTXP%ScVeYZPR[\V q ]¸Ved7P"TeP v P%SU[\V^9PRT r g q [ q ] � gT r SU[ q IQ r VXd=P q TeP%Y ] q T�TÅSc[7m q Y YZP%S r ` TeP r + q Tl] /%t *ba�-'3NP/mAmpP%[ q VXP ��� �;]�/%t *Ht49�a�Ved7P XzS9m q [=y �Lgh q m � Y�mpPRTXgiScVegiUP q ] � � � ` �gVedTXP r Q;P s V^V q �� � ` j7g° PU

    �D] /%t *6t ��a4[ � � � � `� � � � ` ]��La+t � h j t

    �d=g s d"g r � � � `Ãy~S v Y q9r V r ` TeP v�� ÉP vv y«m=P)-7[=P/m�Sc[;m r VXTeg s V v�� Q q\r gVegiUP9� PxYS � Sc[7m"m q�s d qNq9r P] q T � � y~S v Y q9r VzP%S s d ] /%t *ba¤j;SZUPRT r g q [��D] /%t *6t �La r ` s d,Ved7ScV �;] 9 t49 t49�a^g r � � q TXP v ]8hj�a«yYZP%S r ` TÅS �7v P9 P"[ q ðmpP4-7[=P

    � G� J

    ]�/ a4[ � � ] / a4[ �;] /%t " ] / a6t � Y C � � ] / aba J%$ C � � ( P J%$ CgL � (Sc[;m � ` ] / a4[ �;] /%t " ] / a6t � Y C � � ] / aba J%$ C � ` ( P J$ C���` ( t^d=P5g[\V ` gVXg9PZg[\VeP%TeQ7TePRVXSfVXg q [ q ]xVed=P r P&] q TXY `=v S r o q P r S r ] q vv q r I ] q T�-*3pP%m / síÉP

    v q\q hASfV5VegiYZP " ]�/ a"�d7g s d®g r VXd=P ` [=g � ` P � � goZ�TF ` YZQ q ] ]nY ` ]�/ a

  • t^d=P"Q=T qps P rer � s SU[�S v rWq � P"�TXgVWVeP%[�S r� [ �D] /%t " t � Y C a J 5 5 C � � 5 5 P J65 5 H � C 5 5 t]òT q Yö�d7g s d gV] q viv q r VXd7SfVwÕg r S Q=T qNs P rXrZq ]�g[\VXPRoUTÅS �7v PfScTXgiScVeg q [. t^d=P�YS�3NgiYS v] ` [ s Veg q [ � ' q ] � g r VXd=PRTXP'] q TeP�gi[\VePRo9TXS �=v PU~[ q TÅmpPRT�V q�r d q ÕVed7ScV G g r gi[7mpP%P%m�SZQ=T q � S � g v gV � YZP%S r ` TXP"Sc[7m,Ved;SfV � `[ j � + � � �j � � � � � ÉPr d7S viv r d q Ved;SfV�] � `.ac`ed?f�g,g r S ` [=g] q TXY v2� gi[\VeP%oUTÅS �=v P�YSUTWVXg[=o\S v P s v q\r P/m ��� � � P"YZS � �TegVeP � [N] � `ca.`ed?f�g,S r� [í P ] �l]�/%t *6t �La 1 �a -H + T q Y Ved7P,mpP4-7[=gVeg q [ q ]�VXd=P sRq YZQHPR[ r SfV q T � ]� bNp}N!�«j¸e¤9 }:a��P�mpP%m ` s P�Ved7ScV{ÉP�YS ��TXgVXP�VXd=P s'q YZQ;P%[ r ScV q T � � q ] �� � [ P ] �l]�/%t *6t �La 1 �a �

    [ P ]b] �D]�/%t *6t ��a 1 ?a �� � � `.a09 �� q Vegi[=o VXd7SfV/j�] q T � � y~S v Y q\r V P%S s d ] /%t *babÉPAd;SUP VXd7SfV\] �D] /%t *6t �La 1 ?a ��� � ` [: � � � � � �D]�/%t *6t ��a 1 4�%[BbÉPmpP%m ` s P�VXd7SfV&Ved=P s'q Y5QHPR[ r ScV q T � ��g r&sRq [ r VXSU[9V/ Ngi[ s P� 1 � �&g r SZYScTeVegi[=o9S v P9j ��� m=P)-7[\Veg q [ q ]¸VXd=P sRq YZQ;P%[ r SfV q T q ]DQ=T qps P rXr P r^q ]gi[\VePRo9TXS �=v PfScTXgiScVeg q [.jpgV�] q viv q r VXd7SfV � g r S5YScTeVegi[=o9S v P�S r �P viv t q P r VXgYScVeP�Ved7P�mpg r VXSU[ s P � G 1 J � jp[ q VeP�Ved7ScV

    � G 1 J � [ : � ��� ���� 1 � G� J ���� �� : � �D� ] < �D]�/%t *6t ��a 1 < � a � �� :*� �U] � �� � ` 1 � � � ` � 9 � a � � ]�� 7c a :*� �D� � � �+�'� 7c �zP43NV q � r P%Te9PVed7ScV G < � � [ J < � � I gi[7mpP%P%mIjxÉP�d;SUPV q r d q ïVed7ScV J)Sc[7m G

    s'q g[ s gnmpP q [Ved=P r P'V r^q ]¸Ved=P�] q TeY � � � " A * � jp�d=PRTXP � luw`Åj7S r Ved=P r P r P'V r oUP%[=PRTÅSfVXPu�C � � q Vegi[=o5Ved7ScV � `xg r Pq� ` S v V q q [�� " A * � jNVed7g r � P sRq YZP r^q � \g q ` r + g[;S viv�� ÉP r d q Ved7ScV@Y g r S r gioUYScyÃYScTeVegi[=o\S v P ` [;mpPRT G + giT r Vx[ q VeP^VXd7SfV��!TXPRYSUg[ rS v qps S v YScTeVegi[=o\S v P ` [7m=PRT G S r � g r�sRq [\Vegi[ ` q ` r ScVLVegiYZP " jHgà PUij��6C � [ ��CljISc[;m J5Sc[7m G s'q g[ s gnmpP q [vu�C � r TXPRo\ScTÅm r VXd=P�TeP%YScgi[=g[7o)Q7SUTWV � P � q ]LVed7P r PRYZgyÃYSUTWVXg[=o\S v PlY ÉPd7SUP ��� ] � aS � q UP�VXd7SfV/j7] q T �� y«S v Y q\r VLP/S s d ]�/%t *ba6t : � �� � � � � � f � � , ? SU[7m : � ��� � � �d�[ 1 �#]�/%t *ba¤t^d=g r ��'��60 � ' !�� �(7*�+0(02�#)65A"CB gYZQ v2� VXd7SfV � P � g r S v TXP%SUm � S YSUTWVXg[=o\S v P ] q T�S v qNs S vYScTeVegi[=o9S v P?a ` [7mpPRT G S r So v SU[ s PZSfV"P)3=SUY5Q v P�pÈ�TeP%UP%S v r � PZYS � q [ v2� s'q [ s vi` mpPVed;SfV � P � g r S G y r gioUYScyÃYScTeVegi[=o\S v PUjNS r �P�Q7TeP r P%[9V v�� r d7S vv r PRP9O�P)-7[=P � `+]�/ a4[ ] : � ��� � � � � � f � �a � J . �t�d=g s d g r SQ=TeP/mpg s VXS �=v P � � y~S v Y q9r V r ` TXP v2� r VXTeg s V v�� Q q9r gVegiUP5Q=T qps P rXr �t^d7P5Q7T qps P rerB� 9] � P � a�g r S5Q=T qNs P rXr�q ] G y«g[\VeP%oUTÅS �=v P�SUTegnSfVXg q [,S r

    : �,+�� fScT ��� ��� � ] � 9�] � P � abaR[: �,+ � � 9:] � � � f � � � � `69 � P � � � � ` � f � 9 � aB�+� : �,+ � � � ��[Õ : � �D� � � �+��tk

  • �d=P%TeP�Ved7P v S r V�Pq� ` S v gV � ] q vv q r ]òT q Y Ved=P�]S s V�VXd7SfV JZSc[;m G s'q g[ s gnmpP q [ u�C � Sc[;mVed;SfV%j � � P%g[=oQ7TeP/mpg s VXS �=v P9j � � g r u�C � YZP%S r ` TÅS �=v PUuzP%[ s P � 9b] � P � a�g r S�Q=T qps P rer¸q ]Hg[\VXPRoUTÅS �7v P�fScTXgiScVeg q [��d q9r P sRq YZQHPR[ r SfV q T¸g rlsRq [ r VXSU[\VSc[;mAVXd=PRTXP'] q TeP � 9�] � P � a&g r S G y«YScTeVegi[=o9S v P q ]�gi[\VeP%oUTÅS �=v P,fSUTegnSfVXg q [.jl�d=P%[ s P�gi[Q7SUTWVXg s `=v SUT�S G y«YScTeVegi[=o9S v P9�t^d=PRTXP'] q TeP � P � S r �P viv S r YbScTXP G y r go9YZScyÃYSUTWVXg[=o\S v P r ` YZYZgi[=o ` Q I Pzd7S9P�Q=T q 9P%m&Q=T q Q q9r gVXg q [��; = ` [7mpPRTxVed=P�SUm=mpgVeg q [;S v d � Q q Ved=P r g r VXd7SfVY>TeP%YZSUg[ r�s'q [ r VÅSc[\VzSf]ÖVeP%T^Ved=P�-;T r V�VegiYZP " �d=P%[ Y]F ` YZQ r �Z� SfV v P%S r V"��gVXdTXP r QHP s VV q � 9 � f � \VXPRQb I � q �P�mpT q Q Ved=g r S rer ` YZQpVXg q [ SU[7m S rXr ` Y5P" v o;Ved7ScVrYIHl[ = !�P'V " HD[�t " J@[ " Sc[7mmpP)-;[=P"g[;m ` s VXg9P v2� VXd=P r V q Q=Q=gi[=oZVXgYZP r

    " 0 [ g[p] �4*-A " 0 � J I � � Y�` � f � /ð � t 3H[ð�t E�t req VXd7SfV�] "10 a �0 L J g[ s TeP/S r P r V q gi[ -7[7gV � 3!.P'V

    Y � 0 [ J7� � C�2 ��� � C�2 � � 9�Y 3H[í tX�t � q VeP�Ved;SfV Y � J r SfVXg r -7P r Ved=PzS rer ` YZQpVeg q [ r�q ];VXd=PD-7T r VQ7SUTWV q ]HVed7P�Q7T qNq ]{jU�d=PRTXP^ÉP^d7S9Pr d q �[bVXd7SfV�Ved7PRTXP&g r S�YZP/S r ` TeP G � xxj r SfVXg r ] � g[7oo]ògAa¤j@]ògig a'jZ]ògigig a�S � q 9P�] q T " [ " J � q TeP%Q;P/SfV�Ved=PS � q UPZScTXo ` Y5P%[\VLV q�s d qNq\r P&g[7m ` s VXg9P v2� jI] q T�3o[ �tE�t j.YZP%S r ` TXP r

    0 � J � x r ` s d�VXd7SfV

    ]ògAa � 0 � J 1 0 � ,'� 7c 0 � J . g[=] � G � 2 � 2 5 � �� 5 � � I � ult

  • t^d=P"Q=T qNq ] q ]�Q7T q Q q\r gVeg q [ �7\=&g r�sRq YZQ v P'VeP"[ q "ED$lT q Q q9r gVeg q [a�7\= sRq [\VXSUg[ r Ved7P,YS&F q T�Q7SUTWV q ]zVXd=PQ=T qNq ] q ]�Ved7P,YScgi[AVXd=P q TeP%Y� t^d=PYZg rXr g[=oLg[=o9TeP/mpgiPR[\V.g r�r VXg viv Ved=PxSUTeo ` YZPR[\VI] q T�Ved=PÉQ=TXP%mpg s VÅS �=v PIF ` YZQ r�q ]7Ft^d=PxScTXo ` Y5P%[\V] q T�Ved=P,Q=TXP%mpg s VÅS �=v P�F ` YZQ r oUgiUP%[ � P v q ï�g vv@� P r giYZg v ScT�V q ] �=` V&VeP s d7[=g s S viv�� r v gioUd\V v2�P%S r giPRT�VXd7Sc[�aÉVXd=P"Q=T qNq ] q ]¸Q7T q Q q\r gVeg q [��7\=p�y��r3 )

  • : �� � ]87 9�Y4a � ��[ : �� � 7 C�2U]nY�C�2 1 Y�C�2 � aB� �® ]M�7 �:a] q T�P/S s d�SUmpYZg rer g �=v P�gi[\VePRo9TXSU[7m r ` Q7Q q TWVXP%m �Z� � � " 0 � �à P"[ q r d7S viv Q=T qps PRP/m�gi[7m ` s VegiUP v�� q [ 3 I r ` Q=Q q\r P��P�d7SUP s d q9r PR[�jN] q T/3 / 7jpQ=T q � Sfy� g v gV � YZP/S r ` TeP r � H [ � t � J t t � 0r ` s dVed7ScV

    : �� 2 M Y C � < u C � � O [ Y C � � �G[í t t�3Sc[;m r ` s dVed7ScV%jp] q T

    � � [ � 7U � � J . gi[p] 0 � � � � � � �x � � � I � vuvtbx � � ��/ � ��� t�P�d;SUP

    � � � 1 � � � J � ,�� � �G[�t t�3 1 ~[ S9m=mpgVeg q [A�P�S rXr ` YZPVXd7SfV � � SU[7m � � � J Sco9TeP%P � � P'] q TeP " � 1 Sc[7mASc]ÖVeP%T " �4�%@ÉVed7g rYZP%SU[ r Ved;SfV � � Sc[;m � � � J sRq gi[ s gnmpP q [ VXd=P BHy~S v oUP � TÅSou C � � SU[7m Ved7ScV�Ved7P/XzS9m q [py�zgih q m � Y m=PRTXgfSfVXg9P � � � 7 � � � � JZg r u�C � y«Y5P/S r ` TÅS �=v PU� q s'q [ r gnmpPRT,Ved7P r V q Q=Q=gi[=o VegiY5P " 0 � J I mpP%[ q VXP q [ VXd=P r PRV�� " 0 � J�, ? � �Z� � �Ved7P;F ` YZQ>YZP/S r ` TeP q ]�Ved7P;F ` YZQ Y�C�2 g�� 1 Y��C�2 g � � s'q [;mpgVXg q [7S v q [ u�C�2 g�� � � ]M�7 �:aVed7g r ]ns1t

  • !.PRVWVXg[=o [ v giY 0 � � � 0 jUP/S s d q ]HVed7P r P%Y5gy«YZSUTWVXg[7o9S v P r Y � 0 [ J 5 5 C 2�� � 9cYbg r S y r gioUYSfyYScTeVegi[=o9S v P9D«V�] q viv q r Ved;SfVY � [

    ��0 L6JY � 0

    g r S y r gioUYScyÃYScTeVegi[=o\S v P5SU[7m�VXd=PRTXP'] q TeP

    Y [ Y � P Y �

    g r S y r gioUYScyÃYScTeVegi[=o\S v P�V q\q t^d=P"Q=T qNq ] q ]�VXd=P"YScgi[Ved=P q TXPRY g r�s'q Y5Q v PRVeP"[ q "ED+ q T v SfVXPRT ` r P9j v P'V ` r TXP r ` YZP�gi[�Ved=P r `�� r P�� ` PR[\V�Q=T q Q q9r gVeg q [��d7SfV�ÉP&d7SUP r d q �[�gi[Ved7P�S � q UP�Q=T qNq ]{)K , �V#T�ZT���O��O8TLP K � � ' ! �pF+B ���� ! &��102� ! 'b-V�L)

  • r gi[=oZVed=g r P�� ` S v gV � �P�ÉP%TeP"S �=v P�V q mpPRTXg9P"S s d;ScTÅS s VXPRTXg r SfVXg q [ q ]DYS&3pgiYZS v P v PRYZPR[\V r jr PRPT� O�pZ=U� sRq T q viv SUT � 4�;~[ Ved=P�oUP%[=PRTÅS v s S r P9jxgà P9>�d=P%[>VXd=P�Q=T qNs P rXr Y g r [ q VZ[=P s P rXr SUTeg v2� v qps S vv2� � q ` [7mpP/mIjVed7P r P'V q ]�S9mpYZg rXr g �=v PLgi[\VePRo9TXSU[7m r Y5gioUd\V � P�TXP r VeTXg s VeP%m5V q VXd=P�RPRT q gi[\VePRo9TXSU[7mIj s'q Y5Q;ScTXPQ=T q Q q9r gVXg q [>E= ��S � q 9PUL�P v q íÉP&�g viv r d q ðVXd7SfV"S v req g[bVed=g r�s S r P"VXd=P5S � q 9P�Pq� ` S v ygV � TXPRYSUg[ r fS v gim.jxSfV v P/S r V�] q T5Q q9r gVXg9P,TÅSc[7m q Y�SUTegnS �7v P r � t^d7g r TeP r `7v Vm q P r [ q VgiY5YZP/mpgiScVeP v�� ] q viv q Õ]òT q Y Ved=P"TXP r `=v V r gi[a� O�pd=&�Ãz[ q Ved7PRT�ScQ=Q7T q S s dZV q Ved=P�Q=T q �7v P%Y g r V q PR[ v ScTXoUPLVed=P s'q [ s P%QpV q ]�SUmpYZg rer g �=v P�gi[9VXPRo9TXSU[7mgi[ S r giY5g v ScT�^S � S r �S r m q [=P�gi[ � p��"�^SU[7m�� O�=��&�« uzP%TeP�Ved=P,gimpP/S)g r V q S vv q ] q Tgi[9VXPRo9TXSU[7m r 7�Ved7ScV�SUTeP r ` s d�VXd7SfV�Ved=P5Q=T qps P rXr 7 9?Y g r�s'q [\VXT q vv P%m]òT q Y � P v q �Z� SU[ScQ7Q=T q Q=TXgiScVeP�] ` [ s VXg q [/e�j.Ved=P req y s S viv P%m

  • | v P%ScT v2� VXd=P,Q7T q � S � g v gV � YZP%S r ` TXP J mpP)-;[=P%m ��� � J [ � J� � H g r gi[AVed7P r P'V ����Sc[;m r SfVXg r -7P r Ved7PTeP�� ` gTXP%m�Q7T q Q;P%TWVXgP r &~[7mpPRP/m q [)VXd=P r PRV � �P&d;SUP : � �D� eI

  • + q TzS&]òP%S r g �=v P"�PRgioUd\V�] ` [ s Veg q [

  • 5 0�7+" '?02�(�;5 ��� H ]_swa �5 ! & )

  • ��K8J�� �ZSUW W M K#" - e / �r5 -p-+'#) 02'�� �� ���� �Z�v&��#=#� : ��� � e_� ,E? � 5 -��� 5 0F(' ��� ���(� �Z5 -� ,®g[=]*��� < ! &��+)gi[p]*� � < ! &��2)

  • 7 H g r e�y~SUmpYZg rer g �7v P9xNg[ s P�Ved=P r Pq� ` P%[ s P�� � g r gi[ s TXP%S r gi[=o5ÉP"S v req&q � VXSUg[Ved;SfV^] q TzS vv*^Sc[7mS viv ��� �gVXd : � � e_� ,�? I] � 9qY4a.`NP � � P O / : � �E] � 9�Y4a �

  • t^d=g r j=V q o9P'VXd=PRT^�gVed�t^d=P q TeP%YS=p\=pjp q `7v m�Ved=P%[�gYZQ v2�� H [ gi[p]*� � e�ySUm=Y5g rXr g �=v P�gi[\VeP%oUTÅSc[7m 7 m=P)-7[=P/m�S y r ` Q;P%TeYScTeVegi[=o\S v P 7 9qY�t^d=P�[=P43NV�P)3=ScYZQ v PUj�d q �PR9PRT/j r d q r Ved7ScV�gV�YZgo9d9V�d;ScQ=QHPR[®Ved;SfV%j^] q T rWq YZP r gioUYSfyYScTeVegi[=o9S v P&YZP%S r ` TXPUjI7 9#Yg r S r ` Q;P%TeYSUTWVXg[=o\S v PUjF�d=g v P&] q T q VXd=PRT r go9YZScyÃYSUTWVXg[=o\S v PYZP%S r ` TXP r jNgV�]SUg v r V q � P req ��K8J3) � ��M�W����8S K $�&��+)

  • P&[ q íV ` TX[bV q Ved7P s d7SUTXS s VXPRTXg r SfVXg q [ q ]xYS&3pgiYZS v SU[7m q ]xSfVeVXScgi[7S �=v P5P v PRYZP%[9V r "t^d=PScQ7Q=T q S s d g r mpg�hHP%TeP%[9V�]òT q Y VXd=P q [=P ` r P%m gi[�� O�pZ=U�«j¸�d7g s d ^S r � S r P%m q [AS s d;Sc[=o9Pq ]�[ ` Y �PRTÅScgiTXP�VeP s d=[=g � ` PU ~[ q TXmpP%T[ q VV q q UPRT v q SUmAVed=P r VXScVeP%Y5P%[\V r �P�d=PR[ s P'] q TWVXdr ` Q=Q q9r P�VXd7SfV`eíg r S&]òP%S r g �=v P��PRgioUd\V^] ` [ s Veg q [.��K8J � �ZSUW W M K#" - � � � � ! &�� �;! &��2)S:T�V#SUW KHX � ! e F*�v�G-+�*�#0658F+"E�

  • � [ r ` Q � d���� � ! � 5 � � � � � �,�°&uzPRTXP5ÉP ` r P&P43NQ v g s gV v2� Ved7ScV�Ved=P5g[*-7Y ` Y g[ Ved=PZm ` S v gV �Ved7P q TXPRY g r S�Y5gi[=giY ` Y� ` V�Ved=P%[�gVÉ] q viv q r ]òT q Y : � � e_� , ?öSc[7mZ]òT q Y Ved7P�P�� ` S v gV �: � � �,�p[ � VXd7SfV � [ �aP ]87 9�Y4a � Sc[;mAVXd7SfV 7 9�Y�g r S ` [=g] q TXY v2� gi[\VePRo9TXS �=v PYScTeVegi[=o9S v P9ED��4 � 4=JI4=c§ ¥�µ«ª¤/ f¦Ö¥W¬~ñ°¥3�R¢¤£>c§ ¥É¦Öª�²~¥WìÅ¥e¬¢¤§?c¬ªRâW§ ¥W£�²´ "¦©/¥¦©/¥«ª¤¬~á�ª°¯l¢'²Ã²~¥e¦�c¬~´µe´ %¶qÈ×ý"ºX¹°{ÑzºX¹ÃÆÈËWºÅÀNþ=ÆÈÇfºÅÇ/ËW�÷ z Þ¤Þ 9 ú~Ò

    Û ô 9 � à ý5Ò9ô;Ñ�{¼°ÁU×~7ª¤£>%¥e f²«¢'¦i´iª¤ �¡'¥4c¬ªWµ«¥e²«²Ã/²14¢�ìÅ¢¤¬~´¢¤¦n´iª¤ ; f´¥� cª¤ Z§ ªWµ«¢¤§ ¥W£^¥e f¦¸´ f¦��¥~¶'¬¢RâW§ ¥e²«×Ý5�{Ñ�ÒÔ;¼Ã½¤ÊfºÅÊÆÈÀÈÆ ¹�� Ó76�×#��ý8�,9,:&÷ z Þ 9 � � 9 Þ'ú~× z k � z 6/Ò

    Û ôlᤠc¢¤£�´µ¸³I¬ª«¶¤¬°¢¤£É£�´ %¶�¢¤ c¡kU¬~´µe´ %¶^ª°¯µÃª' f¦i´ %¶'¥e f¦;µe§ ¢¤´£�²´ �¢¤ �´ cµ«ª¤£U§ ¥e¦Ö¥É£^¢¤¬Ãê'¥W¦n×cÝ%ÓÖÿ¸ý8�¤½¤¾¼ÃÇ9Ò½ÅÌHóF½¤ÇR¹°¼eÒºÅÇÔ"ü¸Â/¹WÒ����&÷ z Þ¤Þ6'ú~× k Þ��q6/Ò

    Û 2; 9 ÞXà ý5Ò?�Ò��ºÅ¼Ã¼ÃÆÈ·°½¤Ç\×HÜÉÒ;ý5Ò�;D¼Ã{·e× { ¢¤¬~¦n´ %¶R¢¤§ ¥W²�¢¤ c¡�±¸¬WâW´¦n¬¢e¶R¥�´  { %§ ¦n´ %¥e¬~´ªe¡G|9¥«µW/¬~´¦n´¥e²{ ¢¤¬Ãê'¥e¦i²«×,�¤½¤¾¼°ÇfºÅÀN½ÅÌ=ôHË{½¤Ç½¤Ñ�ÆÈË.{½¤¼Á@�,&÷ z Þ 9 Þ'ú«×� ��z »Öß+ � Ò

    Û ��z à �fÒNý5ÒU�ºÅ¼Ã¼°Æȷý¤Ç\×pÝUÒAÒU;ÀÈÆÈ·ÃÄXº/× { ¢¤¬~¦n´ %¶R¢¤§ ¥W²�¢¤ c¡1|U¦Öªeµ~©/¢'²Ã¦n´iµB�~ f¦n¥ò¶'¬¢¤§ ²�´ ¦©/¥&¨\©/¥«ª¤¬~á�ª°¯~;ª¤ f¦n´ cª¤/²L¨f¬¢R¡¤´ %¶'×fÝR¹Ã½RË«fºÅ·¹ÃÆÈËZH¼°½%Ë{{·Ã·°{·¸ºÅÇÔL¹Ã/WÆȼ�ÿ¸Â/ÂÀÈÆÈËWºX¹ÃÆȽ¤Ç·����÷ z Þ ��z ú~× k�z �� k 6/Ò

    Û � 9 ÞXà �fÒ,�RºÅË{½RÔ\×�~7¢¤§ µe%§:|U¦ÖªWµ{©/¢¤²«¦n´ëe¥�¥e¦;³.¬ªRâW§��¥e£�¥e²É¡'¥ { ¢¤¬~¦n´ %¶R¢¤§ ¥W²«×#N{Ë~¹Ã¾/¼ÃZ�½Å¹°{·¸ÆÈÇ�ý"ºX¹Ã~»ÑzºX¹ÃÆÈË{·�����:&÷ z Þ 9 Þ'ú«Ò

    Û �¤Ä/Þ k à ÝUÒ0�'ºÅË«Äź/×N± { ¢¤¬~¦n´ %¶R¢¤§ ¥�é.¥8c¬°¥W²~¥e f¦n¢'¦i´iª¤ �éI¥e²«%§ ¦�¢¤ c¡�¢¤ "±�2c§ ´iµ«¢¤¦n´ª¤ Z¦ÖªB�~ cµ«ª¤£U§ ¥e¦Ö¥�H´ñ c¢' cµW´i¢¤§ { ¢¤¬Ãꤥe¦n²«×/ý"ºX¹°{ÑzºX¹ÃÆÈËWºÅÀNþ=ÆÈÇfºÅÇË{C��÷ z Þ¤Þ k ú~× k ¤Þ�� k 6/Ò

    Û �RÝ � 9 à �fÒ,�RºÅË{½RÔ\×fÿxÒcÝ%ÆȼÁRºÅ~Ï9×9æ7´£�´¦¨\©/¥«ª¤¬¥e£�²H¯~ª¤¬|U¦nªeµ~©¢¤²«¦i´iµl³I¬ªeµ«¥W²«²~¥W²«×9Ý%¼°ÆÈÇ¿¤{¼l÷ z Þ � 9 ú«ÒÛ ;º¤Þ 9 à D�ÒE;ºÅÊfºÅǽWÏ9×N¨N©/¥;\/ c¡'¢¤£^¥W f¦Ö¢¤§N¨\©/¥«ª¤¬°¥W£ ª°¯p±l²Ã²~¥e¦³.¬~´µe´ %¶DªÃ¯ ¬¥nc²3FG>x¥W§Èââ'¥W ,F6|9µ~©/¢Rµ~©/¥e¬~ñ

    £^¢¤á'¥e¬~×�H�ÇÆ Ï'{¼Ã·°Æ ¹��DÔ/þf¼«ºÅÇË«/�óF½¤Ñx¹��¤×,�F{·ÃºÅÇJIË{½¤Ç\×f¼°WÂ/¼ÃÆÈÇ'¹x÷ z Þ¤Þ 9 ú«ÒÛ ;#;ÞÅßÅà D�ÒK;ºÅÊfºÅÇ/½eÏU×DÜÉÒ&;D¼«ºÅÑ�Ĥ½eÏU׸ålª�¢¤¬WâW´¦n¬¢e¶R¥5¢¤ c¡,¥«ëe%´ìX¢'§ ¥e f¦^£�¢¤¬~¦n´ %¶'¢¤§ ¥5£�¥«¢¤²«/¬¥e²ML,±¸ 

    ¥e§ ¥W£^¥W f¦Ö¢¤¬~áU¬ªWª°¯�ªÃ¯¦©/¥N¢'¬~¬~´²~ª¤ fñi³.§ ´²°ê¤¢�¦©/¥«ª¤¬¥e£É×f.{½¤¼°ÁH¼°½¤Ê\Òÿ�ÂÂÀnÒ��0+�÷ z Þ¤ÞÅßRú«ÒÛ ;D¼ ��z à ÜÉÒ;ý5Ò�;D¼Ã{·e×I±¸¬WâW´¦n¬¢X¶'¥�¢' c¡O)�ëe%´§ ´nâ{¬~´%£�´ P)�µ«ª¤ cª¤£�´µe²�ç;´¦©�´ 

  • Û Ý/ÞÅßÅà û ÒÅÝ%Ë«fºÅËÃ{¼ÃÑzºWÁ'{¼W× { ¢¤¬~¦n´ %¶R¢¤§ ¥ { ¥«¢¤²«%¬°¥W²U¯~ª'¬.¡¤´²~µe¬¥W¦Ö¥�¦i´£�¥�c¬ªWµ«¥e²«²«¥e²Iç7´¦©É´