The theory of equilibrium magnetic properties of the granulated magnetic materials

The present-day analysis of the theoretical adaptation status of the experimental curves of the magnetization and the static magnetic susceptibility as functions of the external parameters H and T (H is an applied external magnetic field and T is a temperature) is made for granulated ferromagnetic s...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2000
Автор: Stefanovskii, E.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2000
Назва видання:Физика низких температур
Теми:
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/129047
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:The theory of equilibrium magnetic properties of the granulated magnetic materials / E. Stefanovskii // Физика низких температур. — 2000. — Т. 26, № 3. — С. 262-270. — Бібліогр.: 17 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-129047
record_format dspace
spelling irk-123456789-1290472018-01-16T03:02:53Z The theory of equilibrium magnetic properties of the granulated magnetic materials Stefanovskii, E. Низкотемпеpатуpный магнетизм The present-day analysis of the theoretical adaptation status of the experimental curves of the magnetization and the static magnetic susceptibility as functions of the external parameters H and T (H is an applied external magnetic field and T is a temperature) is made for granulated ferromagnetic systems. Once more it is pointed that the consideration of the energy of magnetic anisotropy of a ferromagnetic material (as against the methods of the adapt used everywhere) play an essential role for the understanding of the magnetic behavior of the systems mentioned above and allow us to investigate the magnetoanisotropic behavior of granulated magnetic systems [at certain granule distribution functions (by their volume and orientation) as regards the external magnetic field]. It is shown that the use of the “blocking” concept is not necessary for the investigations of the thermodynamically equilibrium magnetic properties of the above systems. 2000 Article The theory of equilibrium magnetic properties of the granulated magnetic materials / E. Stefanovskii // Физика низких температур. — 2000. — Т. 26, № 3. — С. 262-270. — Бібліогр.: 17 назв. — англ. 0132-6414 PACS: 75.30.Gw, 75.50.Lk, 75.50.Tt http://dspace.nbuv.gov.ua/handle/123456789/129047 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Низкотемпеpатуpный магнетизм
Низкотемпеpатуpный магнетизм
spellingShingle Низкотемпеpатуpный магнетизм
Низкотемпеpатуpный магнетизм
Stefanovskii, E.
The theory of equilibrium magnetic properties of the granulated magnetic materials
Физика низких температур
description The present-day analysis of the theoretical adaptation status of the experimental curves of the magnetization and the static magnetic susceptibility as functions of the external parameters H and T (H is an applied external magnetic field and T is a temperature) is made for granulated ferromagnetic systems. Once more it is pointed that the consideration of the energy of magnetic anisotropy of a ferromagnetic material (as against the methods of the adapt used everywhere) play an essential role for the understanding of the magnetic behavior of the systems mentioned above and allow us to investigate the magnetoanisotropic behavior of granulated magnetic systems [at certain granule distribution functions (by their volume and orientation) as regards the external magnetic field]. It is shown that the use of the “blocking” concept is not necessary for the investigations of the thermodynamically equilibrium magnetic properties of the above systems.
format Article
author Stefanovskii, E.
author_facet Stefanovskii, E.
author_sort Stefanovskii, E.
title The theory of equilibrium magnetic properties of the granulated magnetic materials
title_short The theory of equilibrium magnetic properties of the granulated magnetic materials
title_full The theory of equilibrium magnetic properties of the granulated magnetic materials
title_fullStr The theory of equilibrium magnetic properties of the granulated magnetic materials
title_full_unstemmed The theory of equilibrium magnetic properties of the granulated magnetic materials
title_sort theory of equilibrium magnetic properties of the granulated magnetic materials
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2000
topic_facet Низкотемпеpатуpный магнетизм
url http://dspace.nbuv.gov.ua/handle/123456789/129047
citation_txt The theory of equilibrium magnetic properties of the granulated magnetic materials / E. Stefanovskii // Физика низких температур. — 2000. — Т. 26, № 3. — С. 262-270. — Бібліогр.: 17 назв. — англ.
series Физика низких температур
work_keys_str_mv AT stefanovskiie thetheoryofequilibriummagneticpropertiesofthegranulatedmagneticmaterials
AT stefanovskiie theoryofequilibriummagneticpropertiesofthegranulatedmagneticmaterials
first_indexed 2025-07-09T10:28:58Z
last_indexed 2025-07-09T10:28:58Z
_version_ 1837164858542391296
fulltext ��� ������� �� �������� ������ �����������������! ! � "��#!$��!%"�& �')("�*�+$,��%��!-!�/.0 1 2 3 4 5 6 7 8 9 : : ; < = 3 2 = 3 6 > ? 6 4 3 @ A : B :C > : A D D E F 5 3 2 :G H > 6 H 3 > 2 :3 8 6 4 2 = 3 F > E 5 A B E 2 3 I D E F 5 3 2 : G D E 2 3 > : E B 8 1 2 3 4 E 5 6 7 8 9 : : ; < = 3 2 = 3 6 > ? 6 4 3 @ A : B :C > : A D D E F 5 3 2 :G H > 6 H 3 > 2 :3 8 6 4 2 = 3 F > E 5 A B E 2 3 I D E F 5 3 2 : G D E 2 3 > : E B 8 JLK MON&KPMRQTS,UVQ WXM Y[Z]\_^`\_abS&\cZ]d dOegfih MjN�\lknmgSoQpm MqS,N&\rM]stQ W N�KjMufXS*eXhgZ]^vewN�MjxydzegfihPMjN&\lk{dVePN�MXS�\�eX^ls |~}��������_���������+�!��� ���_�,�,�r�����`�*���c���0���,���¡ ��v¢�£��`��¤l¥!¦,���§���©¨ª�«�­¬����®���®�����c�����¯�ª°��_±,��¬�¢�£��_���²¤�³&�¯�`¬«�«¢�´«µ·¶�¸c¹«¢·º_���²�«��»¼�½§¾+¿�À�ÁlÂ�ÃlÄlÅ`Ƨ¿`ÇÉÈËÊ�Ì«Í�¾+¿�À�ÁlÎ Ê,ÌÉÍ&Î ¿`ϫΠÀ�Á Ð�Å_Ï_Å�À Ñ«Å_Ò�Ó�Í,ÌÉÍ«ÃlÄ!Ô*Õ�Ö�׫×�× Ø�Ù*ÅjÚ�Û_Å`Ã�Å`Ç*Ä�½­Ò,¿�Üq¿�Ç*¿«Á¡Ü*Ã�À¡ÃÞÝ,ÆßÄlÙ*ÅjÄ�Ù,Å�Ý«Û�Å`Ä_À�Ï�¿«Áà¿�Ò*¿�Ú*IJ¿«ÄvÀ§Ý«ÇqÃvÄ�¿�ÄvÍ*ÃáÝ�Æ�ÄvÙ�ÅjÅcâ*Ú*Å`Û_À§¾ãÅ`Ç*Äl¿�Á�Ï�Í,Û_Ñ�Å`éÝoÆàÄ�Ù*Å ¾"¿�Ì�Ç�Å�Ä�À�ä_¿�Ä_À�Ý«Çw¿�Ç*ÒjÄ�Ù,ÅáÃ�Äl¿«Ä�À�Ï�¾ã¿�Ì�Ç*Å`Ä_À�Ï�Ã�Í*ÃvÏcÅ`Ú*Ä_À�Ê�À�Á­À§Ä­Üj¿�Ã�Ä�Ù*Å߯®Í*Ç*Ï`Ä_À�Ý«Ç*Ã�Ý,Æ"Å`â*Ä�Å`Û�Ç*¿«Á+Ú*¿�Ûv¿É¾ãÅ`Ä�Å`Û�Ã�åæ¿�Ç*Òjç è åéÀ�Ã"¿�Çê¿�Ú*ÚoÁ²À�Å`ÒêÅ`â*Ä�Å`Û�Ç*¿«Á!¾ã¿ÉÌ«Ç*Å`Ä_À�Ï�ÆlÀ�Å�Á�Òê¿�Ç*ÒëçwÀ�Ãã¿àÄlÅ�¾ãÚ�Å�Û�¿�ÄvÍ*Û�Å«ì�À�Ãã¾"¿�Ò*Å�ƮݫÛãÌ�Ûv¿�Ç*Í�Á§¿�ÄvÅcÒëÆ­ÅcÛvÛ�Ý�¾ã¿�Ì,Ç�Å�ÄvÀ§Ï òÜ,Ã�ÄvÅc¾ãÃ�Î�í+Ç*Ï`Åj¾"Ý«ÛvÅjÀ§ÄáÀ§Ã�Ú*Ý,À§Ç,Ä�Å`ÒqÄvÙ�¿«Ä�Ä�Ù*Å)Ï`Ý«Ç*Ã_À�Ò*ÅcÛv¿«Ä�À�ÝÉÇîÝoÆïÄvÙ*Å)ÅcÇ*Å`Û�Ì«ÜqÝ,Æà¾ã¿�Ì,Ç�Å�ÄvÀ§Ï)¿�Ç�À¡ÃvÝÉÄvÛ�Ý«Ú�ÜiÝ,Æà¿ Æ®Å`Û�ÛvÝ�¾ã¿�Ì,Ç�Å�ÄvÀ§Ïð¾"¿�Ä�Å`Û_À�¿�Á è ¿�Ã+¿�Ì�¿«À�Ç*Ã�ĪÄ�Ù*Åð¾"Å`Ä�Ù,Ý�Ò,Ã+Ý,Æ�ÄlÙ*Å�¿�Ò*¿�Ú*Ä�Í*ÃvÅcÒ~Å�Ñ�Å`Û²Üoñ+Ù*ÅcÛvÅÉìãÚoÁ­¿cÜ�¿�Ç©Å`Ã�ÃvÅcÇ*Ä�À¡¿¯Á�Û�Ý,Á­Å�Æ­Ý,Û Ä²Ù*ÅðÍ*Ç*Ò�Å�ÛvÃ�Äv¿�Ç*Ò*À§Ç,Ì�Ý,Æ�ÄvÙ�Åð¾"¿«Ì«Ç*Å`Ä_À�Ï�Ê*Å`Ù*¿�Ñ*À�Ý�ÛªÝ*Æ�ÄvÙ*Å"¿«Ê,Ý�Ñ�ÅãÃlÜ*Ã�ÄvÅc¾ãÃ+¾ãÅ`Ç*ÄvÀ§Ý«Ç*ÅcÒ�¿�Ç*Ò�¿,Á­Á§Ý«ñXÍ*Ã�ÄvÝ�À�Ç*Ñ�Å`Ã�Ä�À¡Ì,¿�Ä�ŠIJÙ*ÅÞ¾ã¿�Ì�Ç*Å`Ä�Ý«¿�Ç�À�Ã�Ý,IJÛ_Ý«Ú�À�ÏêÊ*Å`Ù*¿�Ñ*À�Ý«Û�Ý*Æ�Ì,Û�¿�Ç*Í�Á�¿�Ä�Å`Òî¾"¿�Ì�Ç�Å�Ä�À�Ï©ÃlÜ*ÃvÄ�Å`¾"ÃÞò­¿«ÄàÄvÙ�ÅÞÏcÅ�ÛvÄ�¿«À�Ç Ì,Û�¿«Ç�Í�Á§ÅÞÒ�À¡ÃvÄ�Û�À¡Ê*Í*Ä�À¡Ý«Ç Æ®Í,Ç*ÏcÄ�À¡Ý,Ç�à è Ê�Ü�Ä�Ù*Å�À�Û�Ñ,Ý�Á­Í,¾"Åã¿«Ç�Ò~ÝÉÛ�À¡Å�Ç�Ä�¿�Ä_À�Ý�Ç·ì�¿�Ã!Û_Å`Ì�¿�ÛvÒ*Ã!Ä�Ù*ÅãÅcâ*ÄlÅ�ÛvÇ*¿«Á/¾ã¿�Ì,Ç�Å�ÄvÀ§Ï�ƲÀ�Å�Á§Ò�ó`Î�ôlÄ+À�Ã!Ã�Ù*Ý«ñ+Ç�ÄvÙ�¿«Ä!Ä�Ù*Å Í�Ã�ÅXÝoÆRÄvÙ*Åöõ«Ê�Á§Ý«Ïc÷�À�Ç*Ì·øTÏcÝ«Ç*Ï`ÅcÚ*ÄiÀ�ÃîÇ�Ý�Ä]Ç*ÅcÏ`ÅcÃvÃ�¿«Û²ÜùƮݫÛîÄ�Ù*ÅbÀ§Ç�Ñ,Å�Ã�ÄvÀ§Ì«¿«ÄvÀ§Ý«Ç*à Ý,ÆwÄ�Ù,ÅXÄ�Ù*Å`Û�¾ãÝ«Ò�Ü*Ç*¿�¾ðÀ�Ïc¿,Á­Á�Ü Åcú*ÍoÀ­Á­À�Ê*Û_À�Í*¾[¾ã¿�Ì,Ç�Å�ÄvÀ§ÏãÚ*Û�Ý,Ú�Å�ÛvÄ_À�ÅcÃ�Ý�Æ�ÄvÙ*Å�¿�Ê*Ý«Ñ,Å�òÜ,ÃvÄ�Å`¾"Ã�Î û�Ó+ü!ý�Â�þ�ÿ�Î Ô���Î��!ñ�Õ�þ«ÿ�Î ÿ��*Î���÷�Õ�þ«ÿ�Î ÿ��*Î Ø�Ä � �� ��������������������� ���� "!�#%$� �& ')(+*, )-�!�'.&0/213*4 �&�'��5/6 "$87:9��,;<;>=@?� �A�'$2B�!"-DC�'�')!E7F#�C�G�'.1�&,B�H�/6!�& ')!�70/�A�'I �!�(<J�#%/�&�'I7�#K1.1�')707 HL#%$� '�7F'� M�F1�?ONQP�?�'.RS1.B�!�70/�7T&UB�HV7 *W "$L$XHL'��5�TB�*, �-�!�'�&5/21Y9�Z[;\= ] ��F&0/21M$2'�7^951"$_#%7F& ')�07)`a-��0 �!K#%$_'�7�=^/�!b c!KBd!�*4 e-K!K'�&5/�1 9�f,'� �g�$2RD*, �-�!�'�&5/81d=h*, �&5��/8i�NOP�?�'I7�#KC�G�'.1�&,B�H�� '�7F'� �� 1)?1� M!jC�'k(�/8'M$2'.1�&5� /21a*4 �&�'���/6 "$87lBdHS&5?K'>Zm;n1�B * ] B�!�'�!�& "!�(o*4 �&5�0/�ip M7qf�'"$L$O �7q1.B�!�(K#�1�&5/�!"-p*4 �&�'���/� "$�7,r)sutmvKw�N P�?�'a�T')!K'.fx'�(y/�!K&�'��F'�7�&o/�!z�,;<;D{L*W �& ')�0/2 �$�7I/�7I'�i�{ ] $8 �/6!�')(\C�Rk&5?K'<�F'�1.'�!�&SBMC�7 '��FA� �&0/2Bd!\BdH4&0?�'<7FB�{61) "$L$2')('�HFHL'.1�&oB�HY-�/� �!�&p*4 e-�!�'�&�B���'�7�/67�&0 �!�1�'>9���;}|�=p/6!y7�#K1)?1�B�!�(�#K1.&0/�!"-p7 R 7T&�'�*W7~rF�%`���weN��&U/�7U!�B�&U?� ��0(h&�Bh#�!�(�'��07F&0 �!�(Y&5?� �&V&0?�'4��;}|V{�'�HFHL'.1�& /�7~1�Bd!�!�'.1�&�'�(<f4/2&5?< "!< M(�(�/�&5/2B�!� "$�1)?� �!�! 'M$�B H�1�#���� '�!�&1� M� �5/�'��07U7�1� �&�& ')�0/2! -�B�!lZ[;�-��0 �!�#�$_'�7U �!�(�/67U7�'�1�Bd!�(� M�TR � '"$8 �&0/�!"-�& B�&0?�',#�!�/2J�#�'4*, �-�!�'�&5/21 ] � B ] '�� &5/2'�7�BdHq��;D;*4 �&�'��0/� "$87)NWPX?K'��F'�HLB �T'�`4C�'M$2BMf�`~ "7o&0?�'>HF/�� 7 &�7T&5 �-�'kBdH� '�7F'� M�F1�?O`Qfx'S$8/�*4/�&�B�#�� 7�'"$2Ad'�7�&�BS&5?�'h �!� "$2R�70/�7UB�H�')J�#%/2{$�/2C��0/2#�*�*W e-�!K'.&0/�1 ] �FB ] '���&0/�')7lB�H�&0?�'>7FR�7 &�'�*W7�1.B�!�70/2{(K')�T')(l �C�B"A�'�N �Q���4���5�"�����K�U�5�"�.���M���M���M���<�����x�,�����p� �������K�5�M� � NpPX?K'�B�C�G�'.1�&y#�!�(K'��y/�!�A�'�7F&0/�-� �&5/2B�!�/27y @7 B�$�/�(?K'.& ')�TB"- '�!K'.B"#�7�7 R�7F& ')*:9. �!�')!�7F'�*,C[$_',B�HqZm; ] M�T&5/21"$_'�7/�!K1�Bd� ] Bd�0 �& ')(I/2!�& B� ~!�B�!�*4 e-�!�'�&5/�1,7 B�$�/�(�*4 �&5�0/�iX="N���7V � #%$2'�`�&5?K')7T'p �� '�&0?�'�7FR�7 &�'�*W74fW/�&0?> p7 *W "$L$,9�A�B�$_#�*,'�= 1.B�!�& ')!K&pB�Ho&0?�'jZm; 1�B�* ] B�!�'�!�&<f,?�/21)?�/�7�'�7�7 ')! &5/� "$fW?�'�!�/2!K&�'��� �1�&5/�B�!�7SC�'�&�f,'�'�! ] �� &5/21"$2')7YBdH4&5?K'p7 R�7F& ')* ���'I!�'e-%$_'�1�&�'�(�NV��!<B"&5?K')� f,B���(�7�`VZm; ] ���&0/21"$_'�7xB�H�&5?�'��;D;E{�7TR�7F& ')*¡1) "!<!�'�/2&5? ')�4�FB�&5 �& '�!KBd�4*,B"A�'�HLB��TfW ��0(!�B���1)?� �! -�'k&5?K')/2��A�B�$_#�*~'>9�&0?�'k7 &5 �&�'kB�HI&5?K')� *,B�(�R�{!� �*4/�1W'�J�#�/L$�/2C��0/�#%*¢/�7�* ') "!�&�`%BdH�1�BM#��07T'd="N£4NV��7S/�7�g�!�B�f,!�`U&5? '�(�' ] ')!�(K'�!�1.'�BdHh <*~ �-�!�'�&5/21*,B�*,'�!�&�Bd�x �*~ �-�!�'�&5/2¤. �&0/2Bd!¥9./ N 'KNL`[*4 e-�!�'�&5/21h*xB�*~')!�& ] ')�S#�!�/�&�A�BK$_#%*x'�=IBdHh l-� M7YBdHh!KBd!�/2!�& ')� �1�&5/2!�- ] ��0 �{*W e-�!K'.&0/21�9�¦X;>= ] ��T&5/21"$2')7kB�!:'�i�&�'��0!� �$ ] M�� �*~'�&�'��579. �C�7 B�$2#�& '�& ')* ] '��� �&�#��T'p§y �!�(¥&5?K'IA $_#K'�B�Hx'�i�& ')� !� "$*W e-�!K'.&0/21aHF/2'"$�(j¨p=�fW/2&0?�/�!y&0?�'kHF�0 �*,'�fxB � gyB�Hl©m M!�{- '�A�/�!Xª«7¬1M$� �707�/21x&0?�'.B��TR�/_7�(K')7T1)�0/�C�'�(4C�RW&0?�'xHL#�!�1�&5/�B�!hB�H&5?K'�70 �*~'�!� "*x'KNqP�?K#�7�`q*4 e-�!�'�&5/�¤. �&0/2B�! µ(̈ <`m­ ) B�Hh -K "7�B�Hp/2(K')!�&0/21� "$�*W e-%!�'.&0/21�*xB�*~')! &57 µµ 1� �!�C�'>'�i�{ ] � ')7 7�'�(o �7 9�'�N -�N�`Q7 '�'�resMw5= µ(̈ <`[­ ) = ®�¯µµ ¯ °    ¯µµ ¯ ±² §    ` ° ( ³ ) = ´¶µd·0¸ ( ³ ) − s ³ ` 9�s�= fW?�'���' ® /�7¬&5?�',!�#�*,C�'��¬B H� �&�Bd*4/21x*W e-�!K'.&0/21�*~Bd*~')!K&57 µµ /_!l&5?K'~-Q �7�#�!�/�&xA�B�$_#�*~'K¹ ² /67,º¶BK$_¤�*W �!�!�ª�7�1�Bd!�7F&0 M!�& �!�( ° ( ³ ) /�7�&5? 'W©m "!"-�'.A�/6!�HL#�!K1.&0/2Bd!ON��F&U/�7�!�'�1.'�7�70 ��TR�&�B!�B"&�'>&0?� �&<&5?�'j(�')7 1���/ ] &5/2B�!�BdH� >*4 e-K!K'�&5/21 ] �� &5/81M$2')77�R�7T&�'�*cfW/8&5?\&5?�'<?�'"$ ] B�HS©[ �! -�'.A�/_!jHL#�!K1.&0/�B !»9. �7�/6!&5?K' ] �F'�7�'�!�&�1) �7 '�=U/�7V(K'�1)/270/2A�'M$2RhC� "7F'�(hB�!h&0?�',HF �1.&¶&0?� �&*W e-�!K'.&0/21<')!K'��L-�RjBdHS'� �1)? ] ��F&0/21M$2'DB�HS&5?K'<')!�7F'�*,C[$_'] B�7�7 ')7 7 ')7zBd![$_R^B ! '@*W/6!�/�*~#�* 9�/�!c/�&57zBd�0/2'�!�&5 �&0/2B�! ¼ ½d¾0¿�À_Á�Â_Ã�ÄeÅ�Æ5Ç�È�É É�Ê0Ë�Ì�Ì�Ì (K' ] ')!�(�'�!�1�'d=�`¶fW?�/�1�?E1.B��0�F'�7 ] Bd!�(�74&�B�&5?�'IB���/8')!�&0 �&0/�B�!B�H~&5?�' ] ���&0/21"$_'o*4 e-Q!�'�&5/21p* B *~'�!�&� "$_B�!"-�70/�(�'l&5?�'p(�/2{� '�1.&0/2Bd!lB�HU&5? '� ]�] $�/�')(�'�i�& ')�0!� "$V*4 e-�!�'�&5/21hHF/2'"$8(ON�� &x/�7/�* ] B��F&0 �!�&S&5?� �&S&5?�/67hB���/2'�!�&0 �&5/�B�!>(�' ] ')!�(K'�!�1.'</27�(K')7 {1��0/2C�'�(>C�R\&5?K'DHL#�!�1�&5/2B�!\BdH ∼ 1.B�7 θ `�fW?�'�� ' θ /�7S&0?�' "!"-%$_'<C�'�&�f~'.'�!>(�/��F'�1.&0/2Bd!�7SBdH4&0?�'<*W e-�!K'.&0/21<*,B�*,'�!�& "!�(I&5?K'WHF/2'"$�(�N � Nd�x$L$Q�T') "$�Z[;�*W �& ')�0/2 �$�7¶ �� '�*4 e-�!�'�&5/�1� �$L$_Rh �!�/27 BM&0{ � B ] /�1xBd!K')7)N P�?�/67¶*,'� �!�7¶&0?� �&V&0?�'�*4 e-Q!�'�&5/81�*~Bd*~')!K&¶BdH'� �1�? ] ���&0/21"$_'jB�H<&5? 'y')!�7 '�*,C[$_' /2!:&5? ' �C�7 ')!�1�'yBdH'�i�& ')� !� "$�*, )-�!�'.&0/21oHF/�'M$�(<&0�5/8')7~&�BoB�� /2')!K&5 �& '� "$2B�!"-Q7�/6(�'&0?�'y7 Bd{61) "$L$_'�(:(�/2� '.1�&5/8Bd!�7<B�H��M'� �7 R¢*W e-Q! '.&0/2¤. �&5/8Bd!��%N Z%B��W� '�A�')�07�/6!�-D&0?�'o*W e-Q! '.&0/21o*,B�*,'�!�&4B H ') �1�?EBdHx&0?�''�!�7T')*~C%$2' ] M�F&0/21"$_'�7�HF� Bd*�Bd!K'oB�H4&5? ')7 'p(�/��F'�1�&5/2B�!�7Y&�B "!�B�&5?�'��4Bd!K'�9�#�!�( ')�4&0?�'o/�!�H $2#�'�!�1�'�B�H,7TB�*,'I'�i�&�'��0!� "$HF �1.& Bd�07�="`m/�&�/�7�!�'�1.'�7�70 ��TR�& BIBMA�'��F1�B�*x'W'�!�'��T- RIC� ��0� /2')��N P�?K' A� "$_#�'�B�Hk&0?�/27jC� ��0��/8')�y/27y(�'�&�'��0*W/2!K')(¡C�R &0?�'*4 e-Q!�'�&5/21j �!�/27 BM&0��B ] R�')! ')�T-�R B�Hl&5?�' ] ���&0/21"$_'j9. �!�(�`1�B�!�7 ')J�#K')!K&�$2R�`�C�R�/�&57SA�BK$_#�*~'��W=o �!�(>'�i�&�'���!� "$ HF �1�{& B � 7�N � NU�TH~ <��;E; 7TR�7F& ')*^1�B�!�70/_7 & ')(EBdH~*W e-Q! '.&0/21) "$L$2R/�7 B"&5� B ] /81WZm; ] ��T&5/21"$2')7�`�/ N 'KN�`�/�H¬ x1.B�� ��'�7 ] B !K(�/�!d-�')!K')� {-�R C% ����0/2'��y(�/�(�!�B�&j'.i%/27 &�`o&5?K'¢(�')7 1���/ ] &5/2B�! B�H>/8&57*4 e-Q!�'�&5/21 ] � B ] ')�T&5/2'�7¬f�B�#%$�(hCK' ] Bd707�/2C[$_'�fW/2&5?4&0?�'x?�'"$ ]B�H<&0?�'�©m �!�-�'�A�/2! HL#�!�1�&5/2B�!�No�F!@7 B¢(KBd/�!"-:&5?K'y&�'�*,{ ] ')� �&�#%�F'�{�HF/8'M$�(@( ' ] '�!�(�')!K1�'�B�H<*, )-K! '.&0/2¤. �&5/8Bd!¡9�'�N -¬N�`7 '�'aresMw0=IBdHh <7FR�7F&�'�*4{�'�!�7 ')*~C%$2'pB�Hh/�(�'�!�&0/�1) $�A�B�$2#%*x' ] ��F&0/21M$2'�7�/�!I&0?�/�7q1) �7 'W/�7qfW��/8&�&�'�!o �7 µ(± ` § ) = µ� °    µ� ��¨² §    ` 9���= fW?K'��F' µ� /�7E&5?�' 7 �&�#%�� �&0/2B�!¢*W e-%!�'.&0/2¤. �&0/2Bd! BdH}Z[; 7 #�C�7 &0 �!�1�'�` µ� ��/�7¶&0?�'�A� "$2#�'xB H�&0?�',*, )-K! '.&0/21,*,B�*,'�!�&B�Hx&0?�' ] ��F&5/81M$2'IfW/2&5?E&0?�'IA�B�$2#Q* '��WNU��;E; 7TR�7F& ')*47fW?KBd7 'h*, �-�!�'�&5/8¤. �&5/2B�!p/67�(K')7T1)�0/�C�'�(IC�RI'�i ] ��'�7�70/�B�!�9���=9�fW/8&5?l&5?�'� �(�(�/2&0/�B�!lBdH �MC%$2B�1)gK/�!"-��I1.B�!�1�' ] &.=, "�F'4#Q7T#�{ $�$2RD1� "$�$2'�(���������������������� � ��� !#"%$&�� �!�(D&0?�'�7F'l1.B�!�1�' ] &57f,'�� 'pHF/2�07F&�/�!�&0� Bd(K#�1.'�(k/�!K&�B<&5? ' ] ?KR 70/�1�7hBdH4*4 e-K!K'�&5/�1 ] ?�'�!�B�*,'�!� 4C�R(',N�º¶') �!<r*)�weN + N-,�A�')!S/�He`df4/2&5?4&0?�'x?�'"$ ] B�H� �!h'�i�& ')�0!� $Q*4 e-K!K'�&5/�1HF/2'"$�(a/6!D&0?�' ] �� &5/�1M$2'�7hBdHY��;E; #�!�(�'��h/�!�A�'�7F&0/�-� �&0/�B�!&0?�'>'�!K')� -�R C% ����0/2'��<1�Bd!�!�'�1.& ')(�f4/2&5?�&5?K'>'�!�'��L-�R�BdH*4 e-Q!�'�&5/21j �!�/27 BM&0��B ] R�/�7<(K')7T&5� BMR�'�(�`W&0?�'>B���/8')!�&0 �&0/�B�!(K' ] ')!�(�'�!�1�'IBdH,*4 e-�!�'�&5/21I'�!�'��F-�R<B�Hx7 R 7 & ')* ] M�T&5/21"$_'�7/�7S!�B"&�(�'�7 1)� /2C�'�(kC�Rk&5?K'o1�B�7 θ {LHL#�!K1.&0/2Bd!»9�'.i�1�' ] &h&0?�'$�/�*4/2&¶1� �7F'�B�H.�� �AK')�TR�7 &5�TB�!"-�'�i�&�'���!� "$Q*4 e-K!K'�&5/�1�HF/2'"$�(/� fW?�/�1)?�fW/L$L$mC�'~&5� ') �& ')(�C�'M$2B�fh="N 0 NXPX? #Q7x/2&x1� �!�C�'�7F&0 �&�'�(l&5?� �&�&0?�'I�,;<; 7TR�7F& ')*47fW/8&5?S-��0 �!�#[$_'�7UB�H���'� "$¶Zm;b*~ �&�'���/6 "$X&0?� �&�f,'~1.B�!�70/2(�'��1� M!�!KBM&�C�'K`�-�'�!�'��0 "$�$2R»7 ] '� �g�/_! -�` (K')7T1)�0/2CK')(zC�R ©� �!�{-�'�A�/�! 1M$� �707�/21j&5?K'.B�� RmN�P�?�/67D1�/2� 1.#�*47F&0 M!�1�'jfW �7k "$87 B!KBM& ')(\') ��u$8/8')�S �$�7FBDC�R>©qN21 ' ′ '"$ r*3[`Ls54Kw�`�6x#�NU|V'�/�1)?K')�)`;»N87�?�$�/2B�*,/�7,res�sMweN 9 N�1U'�Ad'�� &5?�'"$2')707�`h# ] & B !�B�fS`� �&�&�'�* ] &57E �&D(�'�7�{1)�0/�CQ/2! - �T') $��,;<; 7FR�7F&�'�*47�fW/2&5?�&0?�'�?K'M$ ] BdHl&5?�'©[ "!"-�'.A�/�!bHL#�! 1.&0/2B�!b?� �A�'^1.B�!�&0/�!�#�')( & B CK' *~ M(�'9.7F'�'»res.t%v�we`~HLB��l'.i� M* ] $_'�=�N;:,B�fx'�A�')�)`W/2&p70?�B�#%$�(yC�'!�B"&�'�(D&0?� �&�`V/�!¥B���(K')�~&�B<(�'�7F1��0/2C�' ] '�1.#[$8/� ��0/�&5/8')74� 'M$� �&5{/�!"-a& BD*W e-�!K'.&0/21o �!�/67FB�&5�TB ] RDBdH &5?K'pZm; 1.B�* ] Bd!K'�!�&�`&5?K'W1�Bd!K1.' ] &07UB�H<�MC[$_B"1)g�/2!�-oA�B�$_#�*~'���B�H ] �� &5/21"$_'�7� �&x HF/2i�'�( & ')* ] '��� �& #Q�T'} �!�(=�"C%$2BM1�g�/2! - &�'�* ] ')� �&�#%�F'���B�HHF/2i�'�(DA�B�$2#�*,'SB�H ] �� &5/�1"$_'�74fx')� '�/6!�&0�FB�(�#�1�')(E/�!K&�B�&5?�' ] ?�R�70/�1)7qB�HV*4 e-Q!�'�&5/21 ] ?�'�!KBd*~')!� QN>lN¶� !< S�F'� "$U��;D; 7FR�7 &�'�* &5?K')�T'� ���'IZm; 1.B�* ] Bd{!�'�!�& ] �� &5/21"$_'�7~BdH,(�/2HFHL')� '�!�&WAKB�$2#�*,'K`V/ N 'KN�`V/�!¥&5?�'o7TR�7�{&�'�*I`�&0?�'��F'4/�7� ~1.'�� &5 �/�!IHL#�!K1�&5/2B�!IBdH¬&5?K')/2��(�/�7 &5� /2C�#�&0/2B�! ? ( � ) C�R�A�BK$_#�*~'(�hN¶��&,/�7 '.A�/�(K')! &�&0?�'��F'�fW/2&0?�&5?� �&~&5?�'HL#%$�$�A�B�$_#�*~',B�HqZ[;�7F#�C%7F&0 �!�1�'W/�!�&5?K'W7 R 7T&�'�*@/27 � ¾�¿�Ì = ∫@BA�CED @-FHGJI �LK ( � ) M � = ∑N K � � � ` 9�O�= fW?�'���'P� ¾ãÀ Ç �!�(Q� ¾�¿câ ��F'I&5?�'o*,/6!�/2*~#�*3 "!�(D*4 �i�/�{*,#�*z-��� "!�#%$2'xA�B�$2#�*~')7¬'.i%/�7T&5/�!"-�/6!h&5?K'4��;D;�7�R�7T&�'�*I` � � /67x&5?K'hA�B�$2#�*~'�B�H�&0?�' " {8-K�0 �!K#%$2'�` ? � /�7x&0?�'�!�#%*xC�')�B Hq-Q� �!�#[$_'�7,f4/2&5?¥AdB�$2#�*~'�� � NV�F!k9�O%=4f,'h-% �Ad'IC�B�&0?1.B�!�&0/�!�#�BM#�7I �!�(�(�/67F1���'�&�'<(K')7T1)�0/ ] &0/�B !\BdH4&0?�'<7F#�C�7TR�7�{&�'�*�BdHqZm;+7F#�C%7F&0 �!�1�'x-��� "!�#%$2')7�/_!�&5?�'h�x;D; 7�R�7 &�'�*SN RQ�TS��VUK�Q�������h���%���#UXWp���YUK�5�"���-ZL�M��[¶�������\U-WI���M� �.������"���p� �5�"���������#UBWo���������S��W����0��� P�?�'�BdC G�'.1�&VHLB��¶/�!KA�')7 &5/«-Q �&0/2Bd!S/�7 ] $8 �1�'�(�/2!� �!Y'.i�&�'���{!� "$¶*, �-�!�'�&5/81�HF/2'"$�(�`Q&0?�'h(�/��F'�1�&5/2B�!IB�H�f ?�/21�?I1�Bd/�!�1�/�(K')7fW/2&5?Y&5?� �&VB�H¶*4 e-Q!�'�&5/21, �!�/�7 B"&5� B ] R� �i�'�7�NH1 '′ '"$Qf4 �7�&5?�'HF/���7 &y&�B 1�B�!�70/2(�'��y7 #�1)?� -�'.B�*~'.&0�FR3B�Hk&0?�' ] �FB�C�{$_'�* res�4�w�N��U&U&5? 'W/�!�/2&0/� "$X7T&5 e-�'xB�H¶� ')7T') "�F1�?Sf,',!�'e-%$_'�1.&&5?K' /�!�&�'��0 �1.&0/2Bd!:B�H}Z[; 1�B�* ] B�!�'�!�&k-�� M!�#%$2'�7kfW/2&0?') �1�?SBd&0?�'���N�;�B��F'�B�A�')��`� "$�$�&5?�' ] ��F&5/81M$2')7�B�H¶&0?�'4� ;<;7�R�7T&�'�*@ "�F'h7�# ]�] B�7 ')(I& BIC�'W#%!�/�( B *4 �/�!�`m/ N�'�N6`[*4 e-Q!�'�&5{/2¤�'�(o?�B�*xB"-�')!K'.B"#�7e$_R�N�F&�/�7h'�A�/�(�'�!�&h&0?� �&�`VfW?K')!E&5?K'��F'</_7S!�BD/6!�& ')� �1.&0/2B�!C�'.& f,'�')! ] "�F&5/81M$2')7S9. �!K(DB�!�$2Ra/6!<&5?�/�7~1) "7F'�="`¶&5?K'�HL#[$�$*W e-�!K'.&0/21W'�!K')� - R ε � B HU S7 ' ] ��0 �& ';"F{ ] �� &5/21"$2'WfW/8&5?l&5?�'A�B�$2#�*~']� � �!�(�7 �&�#%�� �&0/2B�!�*4 e-K!K'�&5/2¤� �&0/�B !YB�H�-��5 �! #m$2')7B HSZm; 7 #�C�7 &0 �!�1�' µ� �T' ] � '�7F'�!�&07h&0?�'<7F#%*�B�Hh <*W e-�{ !�'�&5/�1p �!�/�7FB�&0�FB ] RD'�!�'��T- R ε�&� "!�(k/2&57_^%'�')*4 �!k'�!�')�T-�R ὲ � /2!I&5?K','�i�& ')� !� "$¶*, �-�!�'�&5/81�HF/�'"$8(O`Q/ N�'�NL` ε � = ε a N + εb N N 9�c�= ��7�/�7�g�!�B�fW!�`%&5?�'4'�i ] � ')7 70/2Bd! ε�&� = − d Å`Æ­Æ � � (µµ � ` �&e ) f 9.vK= 1) �!�C�' f,�0/2&�& ')!cHLB���*W e-�!K'.&0/21@#�!�/� �i%/� "$ ] ���&0/21"$_'�7�`fW?�'���'<&0?�'<1�B�!�7 &5 �!K&_g;h#iJi,� ' ] � ')7T')!K&57I&0?�'a( ')!�7�/2& R�B�H §2j��k!#j���lV�nmol ? ��pB��"nqr"�s���"����t��� � ��� !u"*$Y���5l����v�v!u"��5�wl ? !uj��w� �������Bqx�X!u� M �<� � ���H!u"�$y�z� !u�v��"%� qE� { É |�É È Ã2}�É |�È�É È�~��.Á��.��Á���Ã0Àx���LÊ�Ë�Ì�Ì.Ì"ÊLÆ�¾�Ë���Ê�}�ÅT� Ëv��� '�HFHL'.1�&5/8A�' #%!�/� �i%/_ $ *4 e-Q!�'�&5/21 "!�/�7TBd&0�FB ] R '�!�')�T-�R�` � N = µ� � � /�7j&0?�'�A� "$2#�'¢BdH\*W e-Q! '.&0/21¢*,B�*,'�!�&jBdH " { ] �� &5/21"$2'oB�H4&5?�'�')!K7�'�*~C%$_'K` µµ � ` ��� �� 'o#%!�/2&hA�'�1.& Bd�07 $_B�!�-h&5?�'x(�/�� '�1.&0/�B�!�7¬BdH�&0?�'�*4 e-�!�'�&5/21�*~Bd*~'�!�& S N �!�( 'U ���& ')7 /� �!D �i%/�7���`O "$2B�!"-<fW?�/�1�?<&0?�'�*4 e-Q!�'�&5/21I �!�/27 BM&0{� B ] Rp �i�'�7xB�H� "$L$V7FR�7T&�'�* ] ��F&0/21M$2'�7� �!�(l'.i�& ')�0!� $O*4 e-�{!K'.&0/21�HF/8'M$�(< M�T'�B���/2'�!K&�'�(�NOP�?K' ^%'.'�*4 �!<'�!�')�T-�R�B H�&0?�' "F{ ] �� &5/21"$2'W/�7 ε ` � = − µ� � � ¨ (µµ � ` � � ) N 9.��= ��!< �7 ] ? ')�0/21� "$V7FR�7T&�'�*:BdHq1.B�Bd�0(�/6!� �& ')7�fW/2&0?o&0?�' ] B�$� �� �i�/�7 � � f,'�?K �A�' µµ � = ( � µ�� ϕ � 7./6! θ � � 7./L! ϕ � 7./6! θ N `�1.B�7 θ � ) ` > = ( 4[` 4Q`�¨ ) 9.��= "!�(o&0?�'4'�i ] �T')707 /2B�!pHLB���&0?�'�HL#%$L$X'�!K')� - RlBdH ε � ] ���&0/�1M$2'/�7qfW��/8&�&�'�!o �7 ε � = − ∆ε a N ( 1�Bd7� θ � + ��jS1.B�7 θ� ) ` ∆ε �&� = g h#iJi � ��� 4�` j = µ ¨� g Å`Æ­Æ = ¨ ¨ � N 9�)�= P�?K'�A� $_#�'IB�H ∆ε ��� (K'.& ')� *W/6!�')74&0?�'I')!K'��L-�RDC� ��0� /2')�4/�!&0?�'W �C�7�'�!�1�',B�H�&5?K','�i�&�'��0!� "$X*4 e-�!�'�&5/21,HF/2'"$�(�&0?� �&�/67�&�BC�'oBMAK')�T1.B�*x'p/6!kBd�0(�'��h& B<1)?� �!"-�'o&0?�'oB��5/8')!�&0 �&5/2B�!EBdH*4 e-Q!�'�&5/21h*~Bd*~')!K& S � HF�FB�* Bd!K'WB�H�&5?K' �"'� �7FR��I(�/��T'.1�{&0/2B�!�7 θ � = � � π &�BI M!�B�&0?�')� θ � = π ` 4[N ��&h/�74!�B�&�(�/6HFHF/21.#[$_&,& B�70?�B�f &0?� �&,&0?�'SA� "$2#�'IBdHx&0?�''�!�'��L-�R¢C� ��0��/2'��>/2!:&5? 'y'.i�&�'���!� "$p*W e-�!K'.&0/21 HF/�'M$�(:BdH7 '"$_'�1.& ')(SB���/8')!�&0 �&0/�B�!I(K'.1��F'� �7 ')7�fW/8&5?S&5?�'4/_!K1��F'� M7F'~BdH jA� "$2#�'4C�RI&5?�'S$� �f ∆ε � = ∆ε ��� ( � − j ) N 9�3�= �U&�$� �7�&�`�fW?�'�!j&5?�'<A� "$_#�'<B�Hh&0?�'�'.i�&�'���!� "$W*4 e-K!K'�&5/�1HF/2'"$�(l¨ � ') �1�?K')7�&5?K'hA� "$2#�'hB�HU&0?�'�7 Bd{61) "$L$_'�(<*4 e-K!K'�&5/�1 "!�/�7FB�&0�FB ] R<HF/2'M$�(l¨ � `¶/ N 'KN�` j = s�`m&0?�'h'�!�'��F-�R�C� ��0��/2'��(�/�7� ]�] '� ��07�rF7 '.'49�s�4�=�w¶ �!�(�/6!�&0?�'x')!K'��L-�R�B�H�&5?K' ] �� &5/2{1"$_' ε � G�#�7F&SBd!K'p*W/2!�/�*x#%*c/27I$2')HL&� �& θ � = 4[` /TN�'�NL`V&0?�'B�!�$2R�B�!�'E')J #Q/6$�/2C��0/2#�*+7 &5 �& '�N,��!j&0?�/�7I'�i�&�'��0!� �$W*4 e-�{!K'.&0/21WHF/2'"$�(�`Q&0?�'4')!�'��T-�R�B�H�&5?�' ] �� &5/81M$2' ε � /�7 ε � = − ∆ε �,� [( 1�Bd7 θ + s ) f − s ] N 9�s�4�= ��?�/L$2' &0?�'�A� �$2#�'�BdHk&0?�'�'.i�& ')�0!� $�*4 e-�!�'�&5/21�HF/2'"$8(/�!K1��F'� �7�'�7�HL#Q�T&5?K')�)` &0?�'��F',/�7¬B�!�$2R� �(�(�/2&5/�B�!� $[( '.' ] '�!�/�!d-B�Hx&0?�'o7�/6!�-%$2'�*4/2!�/6*x#Q*^/�!E&5?�' ] "�F&0/21M$2'I')! ')�T-�R ε � �& θ � = 4[NºO "7F'�(�B !�&0?�'� �C�B�A�'k#Q!�1�B�* ] $8/�1� �&�'�( "�L-�#%*x')!K&57)`&0?�'IHLB�$L$_B�f,/�! -p1.B�!�1"$2#Q7 /2Bd!�749�A�')� Rp/6* ] B��T&5 �!K&�B�!�'�7,HLB��HL#%�F&0?�'���(�/67F1�#Q7 75/�B�!%=x1� �!IC�'h*, M( '� sMN��,�� �!K#%$2')7YBdHh(�/6HFHL')�T')!K&hA�B�$2#�*~')7S?� �A�'p(�/2HFHL')� '�!�&A� "$2#�'�7UB�H¶1�Bd�0�F'�7 ] B�!�(�/_! -�'�!�'��T- RSC� ��0��/2'��07�N�P�?�/67U*, Mg�'�7 /2& ] Bd707�/2C[$_'K`V/_H~!�'.'�(K')(�`¶& B�/2!K&5�FB�(�#�1�'�&5? '�1�Bd!K1�' ] &07,B�H�MA�BK$_#�*,'��� �!K(��M& ')* ] '��0 �&�#�� '��hB�H¶C�$_B"1)gK/�!�-�N�[N ,¶!�')�T-�RjC� M� �5/�'��07o/�!y&0?�'<-��0 �!K#%$_'�7IB�HI(�/�HFHL'�� ')!�&A�B�$2#�*~' (�/�70 ]�] ') "�>/�!:Bd!K' �!K(:&5?K' 75 �*~'y'�i�& ')� !� "$ *W e-�!K'.&0/21oHF/2'M$�(EfW?�/21�?k/274')J�#% "$U&�B<&0?�'pHF/�'M$�(EB�H,*W e-�{!�'�&5/�1h �!�/27 BM&0��B ] RY¨ � rL1.B�!�(�/�&5/2B�! j = s HF� B�* 9�3�=�w�N O�N��W�5/�'�!�&0 �&5/2B�!� "$p(K' ] ')!�(�'�!�1�'yBdHE&0?�'y')!K'��L-�R@B�H " { ] �� &0/�1"$2' ε � `�'.A�'�!< �&�'�!K')� -�RoC� "���0/�')�,(�/270 ]�] '� ��� "!�1�'�`/�7U�0 �&5?K')�UHF ���HF�FB�*�C�')/6!�- ∼ 1�B 7 θ rF7F'�'S9Ms�4�=�weNm� !IB"&5?K')� f,Bd�0(�7�`�'�A�'�! /�!z&5?�/67o1� �7F'K`x- '�!�'��0 "$�$2R 7 ] '� MgK/�!"-�`,&5?�'©[ "!"-�'.A�/�!p(K'�7F1��5/ ] &5/2B�!�BdHq&5?K'I��;D; 7FR�7 &�'�* (�B�'�7�!KBM&7�'�'�*�&�BSC�'W1�Bd�0�T'.1�&�`m "$_&0?�B�#�-�?o �$L$m&0?�' ] M�F&0/21"$_'�7UB�H�&5?�'7�R�7T&�'�* �� 'y�M#%!�C%$2B�1)g�/6!"-8�[` / N�'�NL`d&0?�'�RhC�'�?� �A�',/�!S xfW �R��'�7F'�*~C%$8/6!"-p h7F# ] ')� ] �� M*, )-�!�'.&0/214Bd!K'�Nc�N��W![$_Ry/�!y1� �7 ')7�9�fW?�/21�?yfW/6$L$hC�'a(K')* B !K7�&0�� �&�'�(C�'M$2B�f�= §�� � *4 �i�� ∆ε ����� �!K(I¨ � � ¨ a 1� �!lBd!K'W#%7F'&5?K'¢©m M!"-�'�A�/�!^(�')7 1���/ ] &5/2B�! B�HE&5?K' 7 R�7F&�'�* f4/2&5?�B�#�& (�B"#�C�&�NP�?�#�7�`V&0?�'o'�!�'��L-�REB H~&5? ' " { ] ��F&5/81M$2'oBdH~&5?K'�� ;<;7�R�7T&�'�*3/�7,( ')7 1���/2C�'�(�C�Ro'.i ] � '�7�70/�B !E9�)K="NXP�?�'4-Q� �!�#[$_'')!�7F'�*,C[$_':1.B�!�&0 �/�!�7 ? � ] �� &5/21"$2')7zfW/�&5? � � A�B�$2#�*~'�`fW?�'���' ? � /�7�&5?K'�HL#�!�1�&5/�B�!lB H -��� M! #%$_'�7,(�/67F&5�0/2CK#�&5/2B�!�C�RA�B�$2#�*~'  �!K(h&5?K'�HL#�$L$�A�B�$_#�*~'k� ¾+¿�Ì BdH�&0?�'4Z[; 1.B�* ] Bd{!�'�!�&o/�7l9 O%="N�P�?�'<HL#%$L$,')!�'��T-�R>BdHY&5?�'k��;E; 7 R�7F& ')*9�&5?�'k'�!�'��L-�RyB�HI!�B�!�/2!K&�'��� �1�&5/2! -y-��� M! #%$_'�7l')!�7F'�*,C[$_'�= 1) �!IC�',fW� /2&�& ')!l �7 � = ∑� K � ε � ` 9�sds�= fW?�'���' ε N /_7�(�'�&�'���*4/�!�'�(IC�R�'�i ] ��'�7�70/�B�!�9�)�="N�U&�HF/�!�/�& 'p& ')* ] '��� �& #Q�T')7Y&5?�' ] �FB�C� �C�/L$8/8&�RDB�H4(�'�&�'�1){&5/�!"-3&0?�' 7TR�7F& ')* 9u?� �A�/2! - &0?�')�0*~Bd(KR�!� M*,/81 '�J�#�/L$�/2C�{�5/�#%*h=SfW/�&5?E')!K'��L-�R�� (³ � ) /_!E&0?�'IA�BK$_#%*x'o'"$_'�*~')!�&hB�H- '�!K')� �$�/�¤e')(S1�BMB���(�/�!� �& ')7 ∏� MK³ � /27U(K'.& ')� *W/�! ')(SC�RS&5?�'º¶B�$2¤.*W �!�'.i ] Bd!K'�!�& '�i ]�� −� ( � � ) � ² § w~N 9�s5�K= �T!}Bd#��h1� M7F'K`�/2&�*~') �!K7�&0?� �&S&5?�' ] � BMC% �C�/L$�/2& R}HLB��S&5?�'" { ] �� &0/�1"$2' 9 -Q�� �!K#%$2'd=EfW/2&0?�A�B�$2#Q* '=� � & B ?� �A�'\&5?�'(�/2� '.1�&5/8Bd!lBdHU*4 e-Q!�'�&5/21h*,B�*,'�!�& S � /2!o&0?�'W'"$2')*~')!K&�B�H7 ] �1.'h �!"-m$2' M Ω � = 7 /�! θ � M ϕ� M θ /�7 M ω � = � � '�i ]    ∆ε �«�² § ( 1�Bd7 f θ � + �! S1�B 7 θ � )    M Ω � `�9�s&O�= fW?�'���' � � /�7S7FB�*x'�1.B�!�7T&5 �!K&�N��L&�/�7h1"$2') ��4&0?� �&�/�!E&0?�/�71) �7 '�&5?�'�1�Bd�0�F'�7 ] B�!�(�/_! - 7F&0 �&0/_7 &0/21) "$D7T#�*#"bB H}&5?�'7�R�7T&�'�*@/27�(K'�&�'���*4/�!�'�(IC�RI M!I'�i ] � '�7�70/2B�! " = ∏�      � � ∫ Ω $ % Ω � '�i ]    ∆εa N² § ( 1�B 7 f θ � + � j 1�Bd7 θ � )         � $ 9�s&c�= �'&)( !*� ? ����l!*�� ² "*" Ëv�,+ { É |�É È Ã } É |�ÈeÉ È�~���Á��.��Á���Ã0Àx���LÊ�Ë�Ì�Ì�ÌMÊLÆ�¾�Ë5�dÊ�}�ÅT� "!�(I&5?K'WHF� '�',')!K'��L-�R��>B�H¶&0?�'W7 R�7 &�'�* � = − §���� " 9�s.v�= &0 Mg�'�7U&0?�'�HLB��0* � ( ¨<` § ) = ∑� ? � � � ( ¨<` § ) ` 9�s.��= fW?K'��F' � � (̈<` § ) = = − §k$�!      � � ∫ Ω $ M Ω � '"i ]    ∆ε ���� ­ ( � µ�� f θ N + ��j�1�B�7 θ � )         N �F&h/_7h! '.1�')707 ���R<& Bp'�* ] ?� �7 /2¤�'I&5?K �&� �(�(�/2&0/2A�/2&�R<B�H,HF�F'�''�!�'��L-�R���9�s.�K=UB�H�&5?K',7FR�7T&�'�*¢9. �!�(h&0?�'x'�i ] �F'�757 /2B�!�HLB��7 &5 �&0/�7F&0/21� "$Q7 #�* " 9�s�c�=U �7¬&5?�' ] �TB ( #�1.&�=U/�7�1�Bd!�(�/2&5/8Bd!K')(C�RpB�#��4!�'e-%$_'�1.&0/�! -�B�H~Zm;+-%�� �!K#%$_'I/�!�& ')�0 �1�&5/2B�!�7xf4/2&5?'� �1�?yB"&5?K')�)N ��7lfW/6$L$�CK'}7 '�')!zC�'"$_B�fS`,&5?�'>*4 e-K!K'�&5/�1*~B�*x')!K&�B�H�&5?�'h7 R�7F&�'�* fW/6$�$¶ "$87 B ] B�7�7 ')7 7U&0?�'W �(�(�/2&0/2A�{/2& R ] � B ] ')�T&�R�N��L&�/�7S*W �&0?�'�*, �&5/�1) $�$2R>�F'�H $_'�1�&�'�(>/�!k&0?�'/�!�(�' ] '�!�(�'�!K1.'>B�Hp7 B�*,'�(�/2� '.1�&5/2B�!�B H " {�1"$_#�7�& ')�<*4 e-�{!K'.&0/21<*,B�*,'�!�&oHF�FB�*�&5?�'<7 &5 �&�'�B�H4BM&0?�'���7 R�7 &�'�* ] �� {&0/21M$2'�7�N �%�TS��VU������e�8�Y�W���h�����0�W�K����W%�0�����¢�"��� U��0�"���-ZL�M��[�_�0�W�"�����e���2���������0�V[��,��U�������� .�"�������o�M���p�0�0�"������~� UK�����e�8�S�����e�d�������2�%�xZL�2�#W � 7h/67hg�!�B�fW!�`¶&5?K'o*W e-�!K'.&0/21o*,B�*,'�!�&hB�H S ( ¨ � § )B�H�&5?K'�7TR�7F& ')*� �&¶&�'�* ] ')�0 �&�#���'x(�/�HFHL'���/�! -�HF�FB�* �C�7 BK$_#�& '¤�'�� B�/27U'�i ] � ')7 7�'�(IC�R S (̈ � § ) = − ∂ � ( ¨<` § ) � ∂ >�` 9�s.��= B���`� �1�1�Bd#�!�&0/_! -»HLB��I&5?�'�-�'�B�*x'.&0� R� �!�(j7�R�*4*,'�&5�TR>BdHB�#�� ] � BMC�$_'�*S` S ( ¨ � § ) = � ( ¨<` § ) �&e ` � ( ¨ � § ) = − ∂ � (̈ E` § )� ∂̈ +N 9�s�)�= P� MgK/�!"-�/�! &�Bo �1.1�B�#�!K&�'�i ] �T')707 /2Bd!¥9�s.��=,HLB���&5?�'h7 R 7 & ')*HF� '�',')!K'��L-�R�`Q/2&x/27U'� M7FRI& B�BMC�&5 �/6!oHF�FB�*:9�s�)�= � ( ¨ � § ) = ∑� ? � � � ( ± ` § ) ` 9�s�3�= � � (̈E` § ) = § × × ∂ ∂̈ $�!      � � ∫ Ω $ % Ω � '�i ]    ∆ε ���² § ( 1�Bd7� θ N + j 1MB�7 θ N )       N ZQ#���&0?�'��,B�!�`¶/2&,f,/L$L$VC�'S1.B�!�A�'�!�/2'�!K&WHLBd�~#�7x& Bp#�7 'S&5?�' 7�B�{�1� "$L$_'�(k�F'�(�#�1�'�( ] ��0 �*~'.& ')� 7h9. �74� '�-� ��0(�7~&5?K'�/�!K&�'���{!� "$ ] ��5 �*~'�&�'���7�B�H¶&0?�'W7TR 7 & ')*�`�!� �*~'M$2R� M7U�T'�-� "��(�7�&5?�'A� "$_#K'pB�H4')!K')� -�RaC% ����0/2'���/2!k&0?�'� �C�7T')!K1.'lB H~'�i�& ')� !� "$ *W e-�!K'.&0/21,HF/�'"$�(� �!�(h&0?�'xA� "$2#�'xBdH¬*W e-�!K'.&0/�1, �!�/�7FB�&0�FB ] RHF/2'M$�(%= � �f = ∆ε �,� � ² § = g Å�Æ�Æ�� N � ² §k` j = ± � ¨ � ` ¨ � = � g Å`Æ­Æ � µ� N 9�� 4K= PX?�/27x/�7�1.B�!�A�'�!�/2'�!�&xC�'�1) �#%7F'K`m'KN -¶N�`XHLB��,�,;<; 7FR�7 &�'�*W7fW/2&5?�A� ��0/�B�#�7~Zm;+1�Bd* ] B�!�'�!�&07x9./ N�'KN�`[(�/�HFHL'��F'�!�&�A� "$_#�')7B H g Å`Æ­Æ �!�( µ =\C�#�&\f /8&5? /�(K')! &5/21� "$�HL#�!K1�&5/�B�!�7>B�H ] M�T&5/21"$_'�7¶(�/27�&0��/2CK#�&0/�B�!4C�R4&5?K'�/���A�B�$_#�*~' ? ( � ) �!�(h/�(�'�!�{&5/21� "$Y� ¾�¿cÌ �!�( ] �TB ] Bd� &5/2B�! g Å`Æ­Æ � � � ² § `�fW? ')� '_� � /�7&5?K' ] B�75/8&5/�B�!4B H�HL#�!K1�&5/�B�!h*W �i%/�*x#%* � ? ( � ) `d&5? '�1�#Q�TA�')7B H�� ')( #�1.'�(o*4 e-Q!�'�&5/2¤� �&5/2B�! � ( � �f ` j ) =    ∑� ? � � � (̈ � ­ )      µ� ∑� ? � � N    − Ö 9��%s�= �7WHL#%!�1�&5/2B�!�7~BdH,�T')(K#�1�')(E*W e-�!K'.&0/21�HF/8'M$�( j G�#�7 &,1�B�/�!�{1)/�( '�N�F&�/�7h!�B"&�(�/2HFHF/21�#%$2&h&�Bk7�?KBMf�&5?� �&�`Vf4?�')!}&5?�'oA� ���/�{ �Cm$2')7S9��H4�=� ��T'o#�7 ')(X`V&5?K'I'.i ] �F'�707�/2B�!kHLBd�4&0?�'o7 R�7F& ')**W e-�!K'.&0/21W*~Bd*~')!K&x9�s�3�=x1� �!IC�'4f �0/2& &�'�!o �7 � ( ± `m§ ) = ∑� ? � � � ( � �f ` ) ` � � ( � �f � j ) = = � Nf�      ∫ Ω $ M Ω � 'Mi ] r*� �f (1�B�7 f θ N + ��jS1.B�7 θ � ) w      − Ö × × ∂ ∂ j ∫ Ω $ M ΩN '.i ] r � N ( � µ�� f θ � + � j 1"B�7 θ N ) � N 9�� �K= �T!�&5?�'41) �7T'WB�H�1.B�!�&0/�!�#�#%*¢(�'�7 1)� / ] &0/2B�! � (± `Q­ ) = =        ∫@ F�� � @BF�GxI � ? ( � )Φ r � f ( � ) � j w M �               ∫� F�� � � F�GxI � ? ( � ) M �        − � 9��VO�= fW?�'���' � (̈ E`Q­ ) /�7 &5?�' � ')(�#K1.'�( *4 e-�!�'�&5/�¤. �&0/2B�!9�� � ( ¨<` § ) ≤ � � ="`m �!�( §2j��k!#j���lV�nmol ? ��pB��"nqr"�s���"����t��� � ��� !u"*$Y���5l����v�v!u"��5�wl ? !uj��w� �������Bqx�X!u� M �<� � ���H!u"�$y�z� !u�v��"%� qE� { É |�É È Ã2}�É |�È�É È�~��.Á��.��Á���Ã0Àx���LÊ�Ë�Ì�Ì.Ì"ÊLÆ�¾�Ë���Ê�}�ÅT� Ëv��� Φ( � �f ` j ) = = '�i ] r � �f ( s + j ) f w − '�i ] � � �f ( s − j ) f w √π � ��� '��0HF/�r � N ( � + j ) w + '���HF/Ur � � ( s − j ) w � − j = = s − '�i ] (− c � �f j ) � � ��� � � r � � ( s + j ) w + ����� (− � � N j ) � � � � N ( s − j ) w � − j N 9��Hc%= ��!j'�i ] � ')7 70/2Bd!�9�� cQ=�HLBd�I&0?�'DHL#%!�1.&0/2Bd! Φ( � � `�j ) C�B�&5?7 ] '�1)/6 "$OHL#�! 1.&0/2B�!�7 � ��� (³ ) = √π ∫� � M ! '�i ] ( � ) 9���v�= "!�(I&5?K'��W �fW7TB�!o/2!�& '�-��0 "$mf,'�� ',#�7 ')( � � ( ³ ) = '�i ] (− ³ ) ∫� � % � '.i ] ( ! f ) N 9�����= P�?K#�7�̀�HF��B�* '.i ] � '�7�70/�B !K7�9��HOQ=0t�9�����=p/2&o/�7I1"$2') ��I&0?� �&'�J�#�/L$8/�C%��/2#�*�1.#��FA�'�7�BdH�*W e-�!K'.&0/�¤. �&5/2B�!SBdH� ,� '� "$¶��;D; 7 R�7 &�'�*y1�B !K75/67F&5/6!"-�B�H¶*W e-�!K'.&0/21, �!�/�7 BM&0� B ] /214Zm;c*4 �&�'�{�0/� "$I-��� "!�#%$2')7»9u/�! &5?�/�7E1� �7�'jB�H<*W e-�!K'.& Bd{6#Q!K/� �iQ/2 $ =�̀ "!�(�̀o1�Bd!�7F'�J�#K')!�&e$_RÒl "$L$<')J #�/L$�/2C��0/�#Q*n*W e-Q! '.&0/21 ] �{�0 �*~'.& ')� 7oB�HI7F#�1)?y \7FR�7T&�'�*b/�!j&0?�'Ef ?KB�$2'a�0 �! -�'DBdH '�i�& ')� !� "$ ] M� �*,'�&�'��07x1�?� �!"-�'o9 ¨ �!�(D§�=41� �!�C�'�(K')7 {1��0/2C�'�(¢B�!�$2R¢C�R¢&0?�' Φ( � Nf ` j ) {LHL#�!K1.&0/�B !: �!�(¢1� �!�!KBM& (K')7T1)�0/2CK')( C�R &5? ' ©m �!�-�'�A�/2! HL#Q! 1.&0/2Bd! ° ( � �f j ) = = ° (µ� � � ¨ � ² § ) NP�?�')� '� �� '�J�#�/8&�'�7 #�C�7 &5 �!K&5/2 $V�F'� �7�B�!�7xHLB���C�'"$�/�'�A�/�!d-&0?� �&p/2!y� '� "$���;E; 7TR�7F& ')*47I&0?�'a7TB {61� "$�$2')(�©m/�HF7 ?�/8&�¤�{ 7�$2R�Bd¤0B�A�{ �� e-�!�'��j$2B�-� M� /2&5?�*4/21� "$�$2R !�B���*4 "$<9�$_B"-�{�! B � {*4 "$ =h(�/27�&0��/2CK#�&0/�B�!kr�s��[̀�s�O%w�B�H ] ��T&5/21"$_'�7~C�RpAKB�$2#�*,'I/�7/�* ] $2')*~'�!�&�'�(�9.7 '.'K̀�'KN -�NL̀Xr�s��dt¬s�c%w0="̀Q/ N�'�NL̀ ? ( � ) = � √ � π � σ '�i ]      − $�! f ( � � � � ) � σ f      N 9�����= ��!<'�i ] �F'�707�/2B�!k9��"��=H σ /274(�/�7 ] '��57 /2B�!k9�?� "$�HF{6fW/�(�&0?m=4BdH&0?�'I1�B � � ')7 ] B�!�(�/6!"-}(�/67F&5�0/2CK#�&5/2B�!EfW?�/L$2' � � /�74&5?�'IA�B�{$2#Q* '�1�Bd�0�T')7 ] B�!�(�/2!�-�& BW&0?�',*, �i�/6*,#�*zB�Hm&0?�'xHL#�!K1.&0/�B�!� ? ( � ) N¶��&,/�7~!�'.1�'�757 �� Ro&�Bo!KBM&�'h&0?� �&�&5?K'h#�7�/6!�-pB�HU&0?�'$2B"-K{L!KBd�0*, �$>(�/�7T&5�0/2C�#K&5/2B�! HL#�!K1�&5/�B�! 9./2&57 ] �TB ] ')�T&5/2'�7�=-Q/�A�'�7h#%7h&0?�' ] B�757 /2C�/L$�/2& RaB�H4'�i�&�'�!�(�/�!"-�&0?�'E$8/�*4/�&57SBdH/�!K&�'e-��� �&5/�B�!�7p/6!�9��VO%=�&�Bj&5? 'DfW?KB�$2'a/�!K&�'��FA� "$WBdHSA�B�{$2#Q* ')7 � � � ∞ � NP�?�'o&�'�* ] ')� �& #��F' ] M�� �*~'�&�'��k� Nf 1� �!EC�'o'�i ] � ')7 7 ')(C�RW&0?�'x7 Bd{61) $�$2')(YC%$2BM1�g�/2! -�&�'�* ] '��� �& #Q�T'�N���7V/67Vg�!KBMf4!�`9.7 '�'�`�'�N -�N�`Ur�s.t%v�w0="`X&0?�'�C�$_B"1)gK/�!�-<&�'�* ] ')� �& #��F'SB H�&0?�' ] M�T&5/21"$_'Sf,/2&5?�� N A�B�$2#�*,'I/2!<&5? '� �C�7 '�!�1.'SB�HU'�i�& ')� !� "$*W e-�!K'.&0/21WHF/2'"$8(l/�7�(�'�&�'��0*,/�!K')(l �7 §���� Õ �� = d Å`Æ­Æ � � � ² $�!    τ τ �    ` 9�� )K= fW?�'���' τ � /�7¶� '"$8 �i� �&5/�B�!4&5/6*,'x �!�( τ /_7¬B�C�7F'�� A� �&5/�B�!h&0/2*,'9. �7U ,�F#%$2'K`K/6!h&5?K'�#%7F#� �$�'�i ] ')�0/2*~')!K&¶&�B�* ') "7F#�� ',7F&0 �&5/21*W e-�!K'.&0/21�')J�#�/L$8/8C��0/�#%* ] �FB ] '��F&0/2'�7�$8! (τ � τ � ) ≈ ��v /�7#�7 ')(%="N%PX?K'�!�`[/8&�/�7U'�A�/�(�'�!�&�&5?� �&�f,'W?� �Ad' � Nf = ( § Ê*ÁlÕ �� � § ) $�!    τ τ �    N 9�� 3K= :,Bdf~'.A�'���`m&0?�'�HLBK$�$2B�f,/�!�-<75? Bd#[$8(lC�'�! Bd& ')(XNXPX? 'h&�'�*W{ ] ')�0 �& #�� '� �!�(4A�B�$2#�*~'�B�H�C%$_B"1)g�/2!�-� �� '�/�! &5� Bd(K#�1�')(h/�!K&�B&5?K' ] ?�R�70/�1)7�B H�� ;<; 7FR�7 &�'�*W7If,?K')!j&0?�'�/��I'�J�#�/L$�/2C�{�5/�#%* ] � B ] ')�T&5/2'�7, �� '�(K')7T1)�0/�C�'�(</2!�B���(K')�x& BoC�� '� �g�&5?�'7�#�*W7SBd�l/_!K&�'e-��0 "$87I/�!\&5?�'D! #Q*x'��0 �&�B���7SB�H4'�i ] �T')707 /2B�!9��Vc�=p/�! &�B>& f,B ] M�T&57�` &0?�'DHF/2�07F&IB�H4fW?�/�1)?y�T'M$� �&�'�7I&�B�MC%$2B�1)g ')(�� ] �� &5/�1M$2'�7�`o&0?�'¢7�'�1�Bd!�( ] ��F&57y�T'M$� �&�'�7j&�B�M#�!KC%$2B�1)g�'�(/� ] �� &0/21M$2'�7�N��T!�7FBo(KBd/�! -�` �"C�$_B"1)g�'�(�� ] "��{&5/21"$_'�7y M�T'@(K')7T1)�0/�C�'�(� �7 7 ?�B"fW/�!"- �dHL'��0�FB�*, �-�!�'�&5/81 � C�')?� �A�/�B���`�f4?�/L$2']�M#�!�C%$2BM1�gK')(/�YBd!K')7)`�fW/�&5?S&5?K',?�'"$ ] B�H&5?K'I©[ "!"-�'.A�/�!<HL#�!�1�&5/2B�!�`¶ �7,7�?KBMf4/�!"- �d7 # ] '�� ] ��0 �*W e-�{!�'�&5/�1���C�'�?� �A /8B �)NP�?�'<#�7T'<B�H4&5?K'DHL#�!�1�&5/2B�! Φ r � N ( � ) ` � /_!�7F& ') "(>B�H©[ "!"-�'.A�/�!�ª�7UHL#�!�1�&5/�B�!S'M$�/2*W/6!� �& ')7� "$�$%&0?�',!�B�&�'�(h1�B�!�&5�0 �{ (�/�1�&5/2B�!�7� M!�(Y1.B�* ] $�/21) �&0/2Bd!�7� �!�(Yf,'�(KB�!KBM&�&5?K/�!�gS/�& /�7!�'�1.'�7�70 ��TRa& Bk#�7F'�&5?K'o1�B ! 1.' ] &�B�H4C%$2Bd1�g�/�!d-»9. �&I$2'� M7F&fW?�'�!y(�'�7F1��0/2C�/�!"-y&5? ')�0*xB�(�R�!K �*W/21<'�J�#%/6$8/2C��5/8#�*+*W e-�{ !�'�&5/�1 ] �FB ] '�� &5/�'�7oB�HS&5?�'j��;E; 7FR�7 &�'�*S=�N,PX?K'a ��T-�#�{*,'�!�&oB�Hh'�i ] B�!�'�!�& � �f ( s − j ) f M!�(j&0?�'D ��T-�#�*,'�!K&�B�HHL#�!�1�&5/8Bd!�7D'��0HF/ � � � ( � − ) wD �!�( � � � � N ( s − j ) � 1.B�*W{] $_'�&�'"$2Ra&0 �g�'�7h/�!�& BD �1.1�B�#�!�&h&0?�'I1�B * ] '�&5/2&0/�B !EB�H,?K') �&')!K')� -�R�fW/�&5?S&0?�',HL#%$L$m*W e-Q! '.&0/21x')!K')� -�R�BdH¬&5? ' ] ��F&0/21"$_'B Hx �!�R<A�B�$2#�*,'� �&, M!�R<70/�-%!�/�HF/21� �!�& ] "�� �*~'.& ')�07 § �!�(¨<N¬P�?�/27h*,B�*,'�!�&h/�74&5?�B�#�-�?K&W& BpCK'�J #�/2&�'o7 /�-�!�/�HF/�1� M!�& �!�(o/�&x/_7q1.B�!�!K'�1.& ')(SfW/2&0?I&5? 'W*W e-�!K'.&0/21W �!�/67�B"&5� B ] R�B�H-K�0 �!K#%$2')7�B�HI&5?K'jZ[; *, �&�'���/� "$ NWPX?K/�7<*xB��F'>� ') "$�/�7T&5/21(�'�7F1��0/ ] &5/�B�!SBdH�*, �-�!�'�&5/81 ] �FB ] '��F&0/2'�7�BdHq��;D; 7FR�7 &�'�*W7fW �7 ] �FB ] B�7F'�(�C�R:ZVNS�hN �y'�7 &>r�suv�w</�!^s�3���sy9.7T'.' "$87 B%`¶res.��w0=x �!�(�fW �7�HLB��F-�B�&� �HL&�'�� fW ���(ON 7�&5 �&0/21�*4 e-Q!�'�&5/21I7 #�7F1�' ] &5/�C%/6$8/2& R<BdHx o7TR�7F& ')*^/�7W( '){ &�'��5*~/�!�'�(o �7 χ(̈ D` § ) = ∂ � � ∂̈ 9�O 4K= B �)`Q&0 �g�/�!"-p/�! &�B� �1.1�BM#�!�&U&0?� �& ∂ ∂ ¨ = µ�� g Å`Æ�Æ ∂ ∂ ` 9�Oms�= f,',B�C�&5 �/6!oHF� Bd*:9�O�4�= �'&)( !*� ? ����l!*�� ² "*" Ëv�v� { É |�É È Ã } É |�ÈeÉ È�~���Á��.��Á���Ã0Àx���LÊ�Ë�Ì�Ì�ÌMÊLÆ�¾�Ë5�dÊ�}�ÅT� χ( ¨<` § ) = µ� � g Å`Æ­Æ ∑� ? ���ï� Ψ( � N � j ) = = µ� f� d Å�Æ­Æ ∫@/F�� � @/A�� � � ? ( � )Ψ( � f ( � ) ` j ) M �@` 9�O���= fW?K'��F' Ψ( � �f ` j ) = ��� � √π ( � + j ) × × � � � � � �f ( s + j ) � − '"i ] r � �f ( s − j ) f w')�0HF/ � � N ( s + j ) � + '���H / � � � ( s − j ) w − − π)      '.i ] r � �f ( s + j ) f � − '�i ] r � �f ( s − j ) f w '���HF/�r � � ( s + j ) � + '��0HF/�r � � ( � − j ) w      f − sIN 9�O�O%= ��!S1.B�!�1"$2#�7�/2B�!YB HO&5?�/_7U7 '�1.&0/�B !Sfx',fxB�#%$�(o$�/�g�'x& B��F'�1) "$L$&0?� �&,f4?�')!<(K'�7F1��5/8C�/�!"-<&5?K'I��;D; 7 R�7 &�'�* �7, I7F# ] ')� { ] ��� "*, �-�!�'�&5/214Bd!K'K` � (̈ D` § ) = µ� ∑� ? � � � � ( � � �f ) = = µ� ∫@ F�� � @BF�G I � ? ( � )° ( ��� f ( � ) j ) M � ` 9�O�c%= "!�(I&5?K'W7 &5 �&0/21W*4 e-�!�'�&5/2147�#�7F1�' ] &5/�C%/�$�/2& R χ( ± ` § ) = µ� f� g Å`Æ­Æ ∑� ? � � � Ξ( � �f ` ) = = µ� f� d Å`Æ�Æ ∫@ F�� � @ A�� � ? ( � )Ξ( � f ( � ) ` j ) M � 9�O�v�= fW?K'��F' � � �f j = µ� � � ±� ­ 9�O���= &0?�'< ��L-�#�*,'�!�&�B�H4&5?K'<©X �!"-�'.A�/�!>HL#�!�1�&5/2B�!k1�B � � ')7 ] B�!�{(�/�!"-o&�BS&5?�'S©m �!�-�'�A�/2!I1"$8 "7�70/�1W&0?�'.B��TR�`�fW?�/ $_' Ξ( � �f ` j ) = 70/�!�? ( � � Nf j ) − � � �� j f ��� �f j f 70/2!�? ( �H� N � ) N 9�O���= � &I!�B�&�(�/2HFHF/21.#[$_&I&�Bk70?�B�fc&5?� �&�`�HLBd�S'�iQ �* ] $2'�`�/�!\&5?�'1) �7 '<f,?�'�!\&5?K'pB���/8')!K&5 �&0/2Bd!\B�Hh&5? 'D ]�] $�/�')(\'�i�& ')� !� "$*W e-�!K'.&0/21¢HF/�'"$�( /27 ] '�� ] '�!�(�/�1�#m$� ��\&�B:&5?K' *~ �-�!�'�&5/21 �!�/�7TB�&5�FB ] RI �iQ/67�BdHO-K�0 �!K#%$2')7�&0?�' Φ( � � ` j ) {LHL#Q! 1.&0/2Bd!o/6! '.i ] �F'�707�/2B�!�9�� O%=,?� �7U&0?�'WHLB�� * 90&5?�/�7U1� �7F'41�Bd�0�F'�7 ] B�!�(�7&�Bkg Å`Æ­Æ�� 4K= Φ( � � ` j ) = � '.i ] r − � �f ( s + j ) f w − 'Mi ] r − � �f ( s − ) � � √π � N r&,X�0H � � � ( s + j ) � + ,¶��H � � � ( s − j ) � w + j ` 9�O )K= � �f = ¯ g Å`Æ­Æ ¯ � �² § ` j = µ� ¨ � g Å`Æ­Æ ¯ 9�O 3K= fW?�'���' ,O� H (³ ) /�7U&0?�'W'���� B���HL#%!�1.&0/2Bd!ON � � m���h�h� �%�M� �_��Z¶�����.�"�M�T�U��� ���������.� ���4�_�0� �M�XU����%�2�p�HZ2�d�������4�����M�K�#W �=�� ��� �\m���!u�v� �<"\!uj �/� ����� qr�&� l ? " M ���B!u"�$�� q�&" �V��� N ��!�(K'���&0?�'�7F'<1�B�!�(�/�&0/2B�!�7�`�/�&�/67�'�A�/�( ')!K&�&0?� �&o/�!j (�/27 1)�T'.& '>(�'�7F1��0/ ] &5/8Bd!yB�HI&0?�'j��;D; 7�R�7 &�'�*+&0?�'��F'>/�7B !Q$_R>B�!�'<A� $_#�'<B�H ? � (K/�HFHL')� '�!�&oHF�FB�*�¤�')� Bk&5?K �&�1�B���{��'�7 ] B !K(�7E&�B�&0?�'yA�B�$_#�*,'jB�H�-��� "!�#%$2')7 � � `� �!K(@/2&1.B�/2!�1�/�(�'�7~fW/2&5?¥&5?�'S&�B�&5 "$U!�#�*,C�'��~BdH�-��� "!�#%$2')74/�!¥&5?�'7�R�7T&�'�*IN � ?�'�! &5?K' ��;E; 7 R�7 &�'�* /�7k(�'�7 1)� /2C�'�(@/6! 1.B�!�&0/�!�#�#�*I`�&5?�'I(�/67F&5�0/�C�#�&5/2B�!DHL#�! 1.&0/2B�!�B H�&0?�'�7 R�7F& ')*B H ] "�F&0/21M$2'�7oC�Ry&0?�'�/��oAKB�$2#�*,'>?� �7l&5?K'aHLB��0*+BdH�&5?�' �W/_�0 �1 δ {�HL#�!�1�&5/2B�! ? ( � ) ∼ δ( � − � � ) N 9�c 4K= :,')� 'K`�&0?�'y� ')(�#K1.'�(@*4 e-�!�'�&5/8¤u �&5/�B�! � ( ¨ � § ) BdH¥&5?�'��;D;+7 R�7 &�'�*¢?� M7q&5?�'hHLBd�0* � (̈ � § ) = Φ( � �f ` ) ` 9�cms�= �!�(I&0?�'h7F&5 �&5/�1h*W e-�!K'.&0/�1h7F#%7F1�' ] &5/2C�/L$8/8&�R �vg Å`Æ­Æ µ� χ(̈ <` § ) = Ψ( � �f ` j ) ` 9�c �K= fW?�'���' � �f = g Å�Æ­Æ � ��� ² § NZm/�-�#Q�T')7¥s.tBcj9. �7�&0?�'�'.i% �* ] $_'�7�= ] �F'�7 ')!�&07S&5?K'��T'){7�#[$_&07�B�H�!�#Q* ')�0/21� "$¶1) "$21�#%$8 �&5/�B�!oB�Hq1.#�� A�'�7 � (̈ � § ) A�7&5?K' ©m "!"-�'.A�/6! ] ��5 �*~'�&�'�� � �f j = µ� � � ¨ � ² § �!�(1.#�� A�'�7 χ( ) M!�( χ( � ) HLBd�� ~��;D;�7FR�7T&�'�*y1�Bd!�7�/�7T&5/�! -�B�H �����Xq Zm; -��5 �!K#%$2')74B�Hx&0?�'�7� �*~'p7�/2¤e'�� � �&�(�/�HFHL'�� ')!�&1.B���� '"$8 �&0/2Bd!�7~B H '.i�& ')�0!� "$� "!�(k/_!K&�'���!� "$ ] ��0 �*,'�&�'���74B�H&5?K'�7�R�7T&�'�*IN¶��!l-�')!K'��� "$ `O/2&,/�7,7T'.'�!�1"$_'� ��e$_Ro&0?� �&x&0?�'�7F'��'�7F#[$_&07�(�/2HFHL')�S'�707F'�!�&0/_ $�$2R>HF� Bd*�&5?�B�7F'�&5?� �&�f~')�T'pB�C�{ &5 �/�!K')(:f4/2&5?¡&5?�'�?�'"$ ] B�HE&5?K'¢©m �! -�'.A�/2!^HL#�!�1�&5/�B�!�N ,O7 ] '.1�/� "$L$_R�7�/�-�!�/2HF/21) �!K&�&�By!�B"&�'>/�7� >7F#�C�7F&0 M!�&0/� "$�/�!�{1)� '� �7F'W/�!S&0?�',/�!�/�&5/� "$X7T&5 �&5/�1W*4 e-K!K'�&5/�1W7F#%7F1�' ] &5/2C�/L$8/8&�R�B�H §2j��k!#j���lV�nmol ? ��pB��"nqr"�s���"����t��� � ��� !u"*$Y���5l����v�v!u"��5�wl ? !uj��w� �������Bqx�X!u� M �<� � ���H!u"�$y�z� !u�v��"%� qE� { É |�É È Ã2}�É |�È�É È�~��.Á��.��Á���Ã0Àx���LÊ�Ë�Ì�Ì.Ì"ÊLÆ�¾�Ë���Ê�}�ÅT� Ëv��� &0?�'y�x;D; 7�R�7T&�'�* 9. �7�1.B�* ] ��F'�(�&�By&0?�'j©X �!"-�'.A�/�!B�!�'�= χ( j = 4 ) /�! &0?�'¢�� �! - '�B�Hj$_B"f &�'�* ] ')�0 �&�#���'�7g Å`Æ­Æ � � � ² § � � � N PX?K/�7^1) �! C�' '�7�7 ')! &5/� "$¢f,?K')!�,;<;cB"C�G�'�1.&07V "�F'x#�7F'�(�/6!�(K'.A�/21�')7¬&�B4��'�1�Bd�0(� �!�(S� ') �(B�#�&x �!o/�!�HLB���*4 �&5/8Bd!ONCm=DP�?�'>1� �7F' ? � � � = 1.B�!�7T&D9�� ? ( � ) = 1�Bd!�7F&.=E/�7p 7 ] '�1)/6HF/21a(�/67�&0��/2CK#�&5/2B�!jB�HS&5?�'k7 R 7 & ')* ] ��F&0/21M$2'�7of,?K')! ] ��F&0/21M$2'�7�B�HU "!�Rp7�/8¤�'W1�B�!�&5�0/2CK#�&�'h'�J�#� "$L$_Rl&�BI&5?K'�*4 e-�{!K'.&0/21,1�B�* ] B�!�'�!�&�AdB�$2#�*~',B�H¶&0?�'h�x;D;+7 R�7�& ')*�N ��&V/67V!�B�&V(K/�HFHF/21�#%$_&¬&�BW70?�B�fy&5?K �&�` /6!h&5? ')7 '�1� �7F'�7�`d&0?�' � '�(�#�1�'�(@*4 e-�!�'�&5/�¤. �&0/2B�!¢B�H<&5?K'y7�R�7 &�'�* 1) �! C�'y'�i�{ ] �F'�707F'�(o/�!I&0?�'�HLB��0* � ( ¨<` § ) = �� ¾+¿`â − � ¾ãÀ Ç ∫@/A�CED @/A�� � Φ r � f ( � ) ` %w M �@N 9�c�O%= ��7 /�!"-p&0?�'W&0?�'�Bd� '�*�B�HU/2!�& '�-��0 "$X1� "$21.#%$� �&5/8B !�Bd!l&5?�' �A�')� �-�' ∫@-F�� � @BF�G I Φ r � f ( � ) ` j w M � = ( � ¾+¿`â − � ¾ãÀ Ç )Φ r � f ( � � ) � j �9�c c�= f,',1�B *~',& B�&5?K','�i ] �F'�757 /2B�! � (̈ <`m­ ) = Φ r � f ( � � ) ` j w 9�c vK= fW?�'���' � � /�7V7TB�*x'xA $_#K'�B�H�&5?�'xA�B�$_#�*~'�HF�TB�*y&5? ' � �!�-�' r�� ¾ãÀ Ç `.� ¾+¿`â we`[/5N '�NL`.� ¾ãÀ Ç ≤ � � ≤ � ¾+¿câ N��!kBM&0?�'��4f,B���(�7�`V&0?�/67S� ;<; 7 R�7 &�'�*�f,/2&5?>7T#�1�?> (�/27 &5� /2C�#�&5/�B�!3HL#�!K1.&0/�B !¡C�'�?� �A�'�7� "7> :�,Zm; 7 R�7F& ')*1.B�!�70/27 &5/�!"-oB�HU/�(�'�!�&0/�1� �$[-K�0 �!K#%$2')7qfW/�&5?I&0?�',A�B�$2#�*,' � � N 'VBd!�7�/6(�'��F'�(IC�'"$_B�f¢ ��F'h7FB�*x'S$�/_*4/2&U1� �7 ')7�HLBd�UA� $_#�'�7UB�H&5?K'W7 R 7T&�'�*Iª�7U'�i�&�'���!� "$ ] �� M*x'�&�'��07�¨ �!�( § N1d=�¨ � � ¨ � ( j � � s ) N ��!:&5?K')7T' 1�B !K(�/2&0/�B !K7�`I&5 �g�/6!�-3/2!�& B@ �1.1�B�#�!K&a&0?� �& ¯ 1�Bd7 θ ¯ ≤ sY �!K(D!�'e-m$2'.1�&5/2! -�&0?�'�#�!�/2& R� �7x1�B�* ] ��F'�(<&�B �0�¡±��ï¶ Î��+Å_Ú�Å_Ç�Ò«Å`Ç«Ï�À Å_ÃðÝ«Æ+IJ٫Å�¾+¿�Ì�Ç,Å_ÄvÀ ä_¿cÄvÀ Ý�Ç � = µ� µ � Ý,Ƭ� � íÜ�ÃlÄlÅ_¾ ñ�À ÄlÙLÀ Ò�Å_Ç,ÄvÀ Ï_¿�ÁwÚ«¿�ÛlÄvÀ Ï`Á�ÅcÃîÝ�ÇéÄlÙ�ÅD�·¿`Ç�Ì�ÅcÑ,À ÇéÚ�¿`Û�¿`¾+Å_ÄlÅ_Û � = µ� @ ` � � ç Æ§Ý�Û�Ò,À§Æ­Æ�Å_Û²Å_Ç,Ä�Ñ«Ý�Á�Í�¾�Å_Ã�Ý«Æ�Ú«¿�ÛlÄ�À Ï`Á�Å`Ã�¿cÇ,ÒwÄlÅ_¾+Ú,Å_Û²¿ ½ÄlÍ�ÛlÅ_Ã è µ = Ö�� � ��Ã`Õ � ��� � = � � � Å_Û�Ì � Ï`¾ � ì`Î�Ø�Ù«Å��·¿`Ç�Ì«Å_Ñ,À Ç)Ò�Å_ÃlÏ_ÛvÀ¡Ú ½ÄvÀ ÝÉÇÞÝ«Æ�¿�Á§Á¶�� � íܫÃlIJÅ_¾�Ã�À�ÃãÄ­Ù�Å�Ãl¿�¾�Å è Ä­Ù,Å�Ò*À�Æ­Æ�ÅcÛlÅ_Ç�ÄãÛlÅ_Ì,À Ý�Ç�ÃãÝ«Æ ÄlÙ�ÅãÁ�Ý�ñªÅ_òÄ!Ï_Í,ÛlÑÉÅ�ì�Î �0�¡±������ Ø&Ù�Å ÃlÄ­¿�Ä®À¡Ï ¾�¿c̫ǫÅcÄ®À¡ÏjÃlÍ�ÃlÏ_ÅcÚ«ÄvÀ Ê*À�Á�À Ä®Ü χ = ��� � � ` Ý,Æ�¿�� � íÜ,ÃlÄ­Åc¾éñ�À ÄlÙjÀ¡Ò«Å`ÇÉÄvÀ Ï`¿�Á+Ú«¿�ÛlÄvÀ Ï`Á¡Å`Ã�¿`Ã�¿ÞƧͫÇ�Ï_ÄvÀ Ý«Ç)Ý«Æ"Ä�Ù�Å�ÛlÅ ½ Ò�Í,Ï_Å_Ò�¿cÚ,Ú*Á�À ÅcÒ�¾+¿�Ì�Ç�Å_ÄvÀ Ï�Æ­À Å`Á�Ò � = b � b � ¿�Ä+õ�ÙoÀ ÌÉÙ�ø�ÄlÅ_¾+Ú�Å_Ûl¿`ÄlÍ�ÛlÅ_Ã� = � � � � ��� � @ = � � ! " Ö Î �0�¡±��$#%� Ø�Ù«Å ÃlÄl¿cÄvÀ Ï ¾�¿�Ì�Ç�Å_ÄvÀ Ï ÃlÍ,òÏ_Å_Ú,ÄvÀ Ê*À�Á�À¡Ä§Ü χ = �&� � � b Ý«Æá¿� ' íܫÃlIJÅ_¾æñ+À ÄlÙjÀ Ò,Å_Ç�ÄvÀ Ï_¿«Á�Ú,¿cÛvÄlÀ¡Ï`Á�Å_Ã�¿`Ã�¿áƧÍ�Ç,Ï_ÄvÀ Ý�ÇwݯÆ�ÄlÙ,Å�ÛlÅ ½ Ò,Í�Ï_Å_ÒÞ¿cÚ,Ú�Á�À Å_Òê¾+¿`Ì«ÇÉÅ`ÄlÀ�Ï�Æ­À�Å`Á�Ò � = b � b � ¿`Äïõ¯Á¡Ý�ñ"ø~Ä­Åc¾�ÚÉÅ`Ûl¿cÄlÍ,Û²Å_Ã� = �(� � � �)� � @ = �+* � , , Ö Î �0�¡±���µ Î�Ø�Ù«Å ÃlÄl¿cÄvÀ Ï ¾�¿�Ì�Ç�Å_ÄvÀ Ï ÃlÍ,òÏ_Å_Ú,ÄvÀ Ê*À�Á�À¡Ä§Ü χ = �&� � � b Ý«Æá¿� ' íܫÃlIJÅ_¾æñ+À ÄlÙjÀ Ò,Å_Ç�ÄvÀ Ï_¿«Á�Ú,¿cÛvÄlÀ¡Ï`Á�Å_Ã�¿`Ã�¿áƧÍ�Ç,Ï_ÄvÀ Ý�ÇwݯÆ�ÄlÙ,Å�ÛlÅ ½ Ò,Í�Ï_Å_Ò)ÄlÅ_¾+Ú,Å_Û²¿`ÄlÍ�ÛlÅ � = �(� � � �)� � @ ¿`Äàõ�ñ�Å_¿`÷·øáÅ_â,Ä­ÅcÛlÇ,¿�Á�¾�¿cÌ«Ç�Å_ÄvÀ ÏÆ�À Å�Á�Ò � = b � ` � = ��Î �*Ö , , Ö Î �'&)( !*� ? ����l!*�� ² "*" Ëv��- { É |�É È Ã } É |�ÈeÉ È�~���Á��.��Á���Ã0Àx���LÊ�Ë�Ì�Ì�ÌMÊLÆ�¾�Ë5�dÊ�}�ÅT� j /6!k'.i ] � '�7�70/�B !K7o9�s�O%="`�9"s�cQ="`�9�se��=�`�9�s�3K="`�9��H��="`Ufx'1�B�*,'x&�B4&5?K'4©m �!�-�'�A /6!�1"$� �7�70/21x&5?�'�B��FR�N���!�(S&5?�/67V/�7�!KBM&7 #�� ] � /�70/_! -� �7I/2&�/27S#�!�(�')�S&0?�')7 '�1.B�!�(K/2&5/2B�!�7Y&5?� �&�&0?�''�!�'��L-�R¢C� ��0��/2'��k/�!: "$�$o&0?�' ] ��T&5/21"$2')7EB�H<&0?�'���;D;7 R�7 &�'�*y(�/270 ]�] ') �� 7V �!�(4&0?�'UB�� /2')!K&5 �&0/2Bd!h(K' ] ')!K(�'�!�1�'�BdHHL#�$�$�*, )-�!�'.&0/21k')! ')�T-�RyB�H�&0?�'>7TR 7 & ')* r�7F'�'j9�3�=�wIC�'�{1�B�*,'�7�J�#�/2&�'W!K'� �� ∼ 1MB�7 θ NP�?�'W7� �*~'W�T')7 #%$2&V1� M!SC�'xB�C�&0 �/�!�'�(�CKR�#�70/2!�-� "7FR�* ] {& Bd&0/21D'�i ] �F'�707�/2B�!�7�HLB��I&5?K'a �C�BMA�'k*,'�!�&0/2Bd!K')(�7 ] '�1�/� "$HL#%!�1�&5/2B�!�7� �&�&5? 'W1�Bd�0�F'�7 ] Bd!�(�/�! -�1�B�!�(�/2&5/�B�!�7�N(%= j = � N� !� �1�1.B��5(K M!�1�'�fW/2&5?¡&5?K'�- '�!�'��0 "$ ] B 7T&�#%$� �& ')7\BdH'�J�#�/L$8/�C%��/2#�*b&0?�'��5*~Bd(KR�!� M*~/21)7�`W/2!�&5?�/�7<7 /2&�#� �&5/2B�!�`W �& "!�R & ')* ] '��� �& #��F'�7�`,&5?K'}7TR�7F& ')*�#�!�(�'��</�!�A�'�7F&0/�-� �&0/�B�!*~#�7 &,C�'�(�'�*W e-%!�'.&0/2¤�'�(�`O/5N 'KN�` � = 4[N���&h/_7~&5?�/27W� '�7F#%$2&&0?� �&I1�Bd*~')7SBM#�&�B�H4&0?�'�'.i ] �T')707�/8B !jHLBd�S&0?�'<HL#�!K1.&0/�B�! Φ( � � ` ) rF7F'�'W9��Hc�=�w¶ �& j = 4Q`K �7¬&5?K'�!K#�*~')� �&�B��¬BdH�&0?�' HF/��07T&�& ')� * /27�'�JK#� "$¶&�BI¤0')� B[`X/2&57x(�'�!�B�*W/6!� �&�B��x/�7�')J #� "$& B;� √π 'd� H0/ ( � � ) "!�(h&0?�'x7F'�1.B�!�(Y&�'��0* /27¶'�J�#% "$�& BW¤�'��FB�N'd=�©�'.&I#�7S1�B !K75/6(�')�I!KBMf &5?�'D� 'e-�/2Bd!\B�Hh&�'�* ] ')� �{& #Q�T')7xf4?�/21�?< ��F'�7TB ��?�/�-�?��I&0?� �&xB�!�'h1� �!�&5?�/6!�g�&5?� �&�`HLB�� � � ] ��� "*x'.& ')�07�B�H� "$�$�&0?�'j7FR�7 &�'�* ] �� &5/�1"$_'�7<&0?�'1�B�!�(�/8&5/�B�!�7 � ��� � s�` � �f � � s� "�F'aHL#[$8HF/L$L$2')(� �!�(y&0?�'� 'e-K/8Bd!jB�HhA� �$2#�'�7IBdHY&5?K'<'.iK&�'��5!K "$W*W e-Q! '.&0/21DHF/2'"$8(j/�77 #�1�?y&0?� �& � �f j � � � 9�&0?�/�7l1.B��0�F'�7 ] Bd!�(�7o& B�&0?�'k1) �7T'B�H µ� � � ¨ � ² § � � � `Yg Å`Æ­Æ � � � ² § � � s)="N �h7�/�!"-y'�i�{ ] �!�70/2Bd!�7 '�i ] r � N ( s ± j ) .w = s + � �f ( � ± ) f + s � � N� ( � ± j ) � + NLN�N 9�c���= "!�( ')� HF/Ur*� N ( s ± j ) w = � � ( s ± j ) + s O � N� ( s ± j ) Ô + N�NLN /2&x/27�!KBM&�(K/�HFHF/21�#%$_&�&�BSBMC�&0 M/2! Φ( � �f ` j ) = s O � � �f j = �O µ� � � ¨² § 9�c���= fW?�/�1)?S1�Bd/�!K1�/_(K'�7¶fW/8&5?h&0?�'x'�i ] �!�70/2Bd!SBdHO&5?K',©X �!"-�'.A�/�!HL#%!�1�&5/2B�!3f,?K')! � � �f j = µ� � � ¨ � ² § � � s�N��U1�1�/_(K'�!�{ &0 �$L$_R�`m/�&x "$87 BIHLB�$L$_B�fW7�HF�FB�*�&5?K/�7U&0?� �&� �&� �!�RI&�'�* ] ')� �{& #Q�T'�(�/6HFHL')� /�!"-@HF�FB�* § = 4 �& j → 4z&5?K'�*4 e-K!K'�&5/2{¤. �&0/2B�!yB�HI') �1�?�Zm;n-�� M!�#%$2'j9u "!�(y&0?�'���'�HLBd� 'EB HS&0?�' fW?KB�$2'S��;D;+7TR�7F& ')*S=�& ')!�(�7q&�B�¤e')�TBmNP�?�#�7¬#�!�(K')��&0?�'�7F'�1.B�!�(K/2&5/2B�!�7)`d'�A�'��FR~-K�0 �!K#%$2'�BdH�&0?�'�,;<; 7TR�7�& ')*� �!�(z&5?�'>7TR�7F& ')*� M7� Df4?�B�$_'E1) �!zC�'(K')7T1)�0/2CK')(EC�RD&5? 'o1M$� M7 70/�1¥©X �!"-�'�A�/�!E&5?K'.B���R�` /5N '�NL`V&0?�' ] ?�'�!�B�*,'�!�B�!IBdHU7T# ] ')� ] �� M*, )-K! '.&0/�70*�&5 �g�'�7 ] $� �1.'KNP�?�'� �C�BMA�'�'.i ] � ')7 75/8Bd!�7¶70?�B�f�&0?� �&¶f4?�')!Y&5?�'�1.B�!�(�/2{&0/2B�!�7 � �f � � sM` � �f j � � s "�F' /�* ] $_'�*x'�!�& ')(X`�&0?�'] �F'�7 ')!�1�'�B�H�&5?�'S')!�'��T-�RpC� ��0� /2')�~/�!�&5?�'I�,;<; 7 R 7 & ')* -K�0 �!K#%$2')7I/27I!�B"&�'�757T')!K&5/2 $W9�/2&�1� �!\#�7 'p&0?�'D©m "!"-�'.A�/6! (�'�7F1��0/ ] &5/�B�!%="N �Q�T�U�K���VZ2����������� �F&�?� �7YC�'.'�!>70?�B�fW!k&0?� �&�`�/�!> �-�'�!�'��5 "$�1) "7F'K` � ') "$ ��;D; 7 R�7 &�'�*,7\fW/2&5?^ ¢*, )-K! '.&0/21¢ �!�/�7 BM&0��B ] /21 Z[;1.B�* ] Bd!K')! &V1� M!�!KBM&�C�' ( ')7 1���/2C�'�(SfW/�&5?S&5? ' ?K'"$ ] B HO&5?�'©[ "!"-�'.A�/�!E1M$� �707�/21o&0?�'�Bd� R�` / N '�NL`V&5?K'�/_�Y&5?�'��0*,B�(�R�!� "*,/21')J�#%/6$8/8C��0/2#�*3*~ �-�!�'�&5/2¤. �&0/2Bd!E �!�(<7 &0 �&5/21I*, �-�!�'�&5/21I7F#%7�{ 1.' ] &5/8C�/L$�/2&�R:1) �!K!�B"&>C�' (K')7T1)�0/2C�'�(:C�R¢&0?�'�©m "!"-�'.A�/6!HL#�!�1�&5/8Bd!o �!�(o/2&07�(�'��0/�A� �&5/2A�'�7�NP�?�'kHL#Q!�1�&5/8Bd! ?� �7lC�'.'�! HLB"#�!�(�9�7�#KC�7 &5/2& #�&5/�!d- &5?�'©[ "!"-�'.A�/�!<HL#�!K1.&0/2Bd!�=,fW?�/�1)?E(�'�7�1���/8C�')7�`¶/�!< S#�!�/�A�'���70 "$ fW �R�`V&5?�'l1.B�* ] '�&5/8&5/2B�!DB�H,HL#�$L$q*4 e-�!�'�&5/81�'�!K')� - REB�H, ��;D; 7FR�7 &�'�* ] ��F&0/21M$2'xBdH¶ �!KRhA�B�$_#�*~',9�f4/�&0?�B"#�&�7�' ] �{�5 �&0/�!"-D&0?�')*�/2!K&�B�&5?�'o7FB�{61) "$L$2')(��MC%$2B�1)g ')(��p �!�(��M#%!�{C%$_B�1�g�'�(���=Uf,/2&5?S&0?�')/6�U?�') �&V'�!�'��T- R�N%�F& ?K M7¬C�'.'�!I �7 1.'���{ &5 �/�!K')(l&5?� �&x&5?K'h#�7 'hB�HU&5? '�1�Bd!K1.' ] &xBdH �MC�$_B"1)gK/�!�-��o/�7!�B"&�!�'�1.'�707� �� RIf,?�'�!I&5? 'W&0?�')�0*~Bd(KR�!� M*,/81W'�J�#�/L$�/2C�� /2#�* ] � B ] ')�T&5/2'�7�B�HU��;E;+ ��F'W(K'�7F1��5/8C�')(XNm� !o �(K(�/2&0/�B !S& B�/2&�`&5?K'>#�7 '>B�Hp7 #�1�?�#�!�/�A�'���70 "$�(K')7T1)�0/ ] &0/2Bd! HLBd�D "$L$I&5?�' ] M�T&5/21"$_'�7�BdH� ,7 R�7 &�'�* �!K(� 47FR�7 &�'�*� �7U xfW?KB�$2',*W �gK')7/2& ] Bd707�/8C%$_'<& B> �A�Bd/�(j7 #�1�?� �� &5/2HF/21�/� "$W �!�(j M* CQ/«-�#�B"#Q7*,B�(�'"$87)`QB�!�'~B H¬fW?�/�1)?O`QHLB���/�!K7�&0 �!�1�'�/�7q#�7F'�(o/�!¥r�s.��weNP�?�'p� 'e-�/2Bd!�7hB�H41)?� "!"-�/�! -a'�i�& ')� !� "$ ] ��0 �*,'�&�'���7�¨ �!�(:§ ?K �A�'yC�'�')! /2!�(�/21� �&�'�(^9u� '"$8 �&0/�!"-@& B@/2!�& ')� !� "$ ] M� �*,'�&�'��07�B�HX �!�Zm;�1.B�* ] Bd!K'�!�&¶B�H� 4��;D;�7 R�7 &�'�*h=fW?�'���'�1"$8 �7 75/81<©X �!"-�'�A�/�!>(K')7T1)�0/ ] &5/�B�!kB�HW/�! A�')7T&5/�-� �&�'�(BdC G�'.1�&57�/�7 ] B�7 75/8C%$_'KNm��!���;E;b7TR 7 & ')*47UfW/�&0?p hg�! Bdf4! HL#�!�1�&5/8Bd!�B�Hl-��� "!�#%$2'»(�/27�&0��/2CK#�&0/�B�!�CKR &0?�'�/��<A�BK$_#�*,' ? ( � ) `�*, �-�!�'�&5/2¤� �&5/2B�!�1�#�� A�')7 � ( j ) �!�(S1.#���A�'�7�B�H¶7F&0 �&5/21*W e-�!K'.&0/21�7T#�7 1.' ] &5/8C�/L$�/2&�R χ( ) `O�T'�-%/_7 & ')�T')(E �&W(�/�HFHL'�� ')!�&&�'�* ] '��0 �&�#�� '�7�`�*4 �RhC�'x#�7T')(SC�B�&5?SHLB��V(K'.& ')� *W/6!�/�!"-I&5?�'A� "$_#K'pB�H4')HFHL'�1.&0/�A�'o1�B !K7�&0 �!�&hB�H4*W e-�!K'.&0/21p �!�/�7FB�&0�FB ] Rg Å`Æ­Æ �!�(yHLBd�I1"$� ��5/2HLR�/2! -�&5?K' ] '�1.#�$�/_ "��/2& R>B�H�/2&07S&�'�*W{] ')�0 �& #�� '»(K' ] ')!�(K'�!�1.'KNh��!�(¢1�Bd!KA�')�07T'M$2R�`h&5?�'yg�!KBMfW{$_'�(�-�'�BdH�&5?K'�& ')* ] '��� �& #��F'x(�' ] '�!�( ')!K1.'UB�H�&5? '�'�HFHL'.1�&5/2A�'*W e-�!K'.&0/21, �!�/27 BM&0��B ] Rh1�B�!�7 &5 �!�&.g Å`Æ�Æ *W �RI "$�$2BMf�B�!�',&�B��'�1�Bd!�7F&5� #�1�&�&5?�'xA�BK$_#�*~',(�/�7 &5� /2C�#�&0/2B�!�HL#�!K1�&5/�B�! ? ( � ) B�H&5?K'<��;D; 7 R�7F& ')* ] ��T&5/21"$_'�7�N P�?�'o1�B���� ')7 ] B�!�(K/�!"-�/�!�{A�')7T&5/�-� �&0/2B�!�7EBdH�C�B�&5? &5?K'»7TB HL&0{�*4 e-�!�'�&5/�1y M!�( ?� ��0(�{ *W e-�!K'.&0/21,HL')�0�FB�*4 e-�!�'�&5/�1,1�B�* ] B�!�'�!�&07�B H¬&5? 'W(�/�HFHL'�� ')!�&��;D;+7 R�7 &�'�*,7UfW/ $�$mC�' ] #�C%$�/�7�?K'�(�$8 �& ')�)N ���[������� � Z�����U��4����� P�?�'W �#K&5?KBd��f,B�#%$�(l$8/�g ',&�Bh&0?� �!�gS&0?�'h�F70�� �'"$X;D/2!�/�7�{ &5� R<B�Hx�UC�7FB�� ] &0/�B�!\90&5?K' �,' ] �� &5* ')!K&WB�Hk7�1�/2')! 1.'I�UC�{7�B�� ] &5/2B�!m=xHLBd��HF/�!� �!�1)/6 "$O7T# ]�] B �T&�`�¦X�FB�HeNm�x �(���B��FB�(�'�&5{75g R}HF�TB�*�&5?�'¥º¶')!�{F��#��0/�B�! �W!K/2A�'���70/�&�RkBdH4&0?�' 1U'�-�'�A 9�� 70�� �'M$ `UºX'�')�0{\7d?K'�A K=hHLB �~&5? ' ] B 7 70/2C�/L$�/�&�R<B�HxfxB���g�/_! -/�!E&5?�'o� '�-�/2B�!EB H~*W e-�!K'.&0/�1 ] �FB ] '��F&0/2')74B�H4��;E; 7TR�7�{&�'�*W74 �!�(¥&5?K'�'�i�&0�F'�*,'"$2R<#�7 ')HL#%$�(�/67�1�#�7 75/8Bd!�7W �!�( �W��N � /81.& Bd��;¥'.'��FB�A�/21�?oHLB��U&0?�'�? 'M$ ] /�!I&0?�'4f�B�� g�N §2j��k!#j���lV�nmol ? ��pB��"nqr"�s���"����t��� � ��� !u"*$Y���5l����v�v!u"��5�wl ? !uj��w� �������Bqx�X!u� M �<� � ���H!u"�$y�z� !u�v��"%� qE� { É |�É È Ã2}�É |�È�É È�~��.Á��.��Á���Ã0Àx���LÊ�Ë�Ì�Ì.Ì"ÊLÆ�¾�Ë���Ê�}�ÅT� Ëv� Ö�Î�ý·Î��ãÎ��!Ý�Ç�ÃlÝ�Ñ«Ãl÷ÉÜ&Õ�� �c±����É��� �_� Õ�� À�Á�Å_Ü�Õ���Å_ñ��!Ý�Ûl÷ è Ö_׫þ ��ì�Î f Î�üªÎ�û�Î �Åc¿`Ç�Õ�¿`Ç�Ò��*Î ��Î��&À Ñ�À Ç,̫òÄlÝ�Ç&Õ� �����,�*»)� �0���É��Î�����Õ�Ö f �¯×è Ö_×�ÿ«×�ì�Î Ô*Î+ô_Î+ý�Î��«¿cÏ_ݫʫÃ�¿cÇ,Ògü0Î+û�Î� /Å_¿`Ç�Õ��0�§���������_���§ `» �r�v¢ ç �«�­���0�­»���� �,� ��� �  `�¯�,�c±*������� ���,�­�l�r�«�o¢ À Ç&Â�� �c±����«�­� ��� ÕªÑ�Î�ôvôlôrÎ�Õ¬��Î�Ø�Î Ð�¿`Ò�Ýð¿cÇ,Ò��ïÎ�ý«Í�Ù*Á è Å_Ò,ÃcÎ�ì�Õ�Ó�Ï`¿cÒ,Å_¾ãÀ Ïãû·ÛlÅ`Ãlà è Ö�×��cÔ*ì�Õ�Ú&Î f Ô�Ö�Î�*Î� �Î ��Î�ü�ÍoÁ§Á�À Ä­Ü&Õ�º��o���l� � ¦� ������«�g��� � ��±��������§  � �*���`���§�«» ��Õ+Ó�Ò«½ ÒoÀ òݫǫ½��wÅ`ÃvÁ¡Å�Üïû Í«ÊoÁ§À�ÃlÙ�À�Ç«Ì�ü�Ý«¾+Ú«¿�Ç�Ü è Ö_׫þ f ì�Îÿ*Î�� ��±��������§ ã�!�l�r�o�`�r���§���ã�_� �0���¯�����,�r���� `»¡��� Õ���Î���Î �+Ý�Ûl¾+¿�Ç«Çá¿cÇ,Ò ��Î �·À�Ý�Ûl¿`Ç*À è Å_Ò�Ã`Î�ì`Õ!��Ý�ÛvÄ­Ù"��ݯÁ§Á�¿�Ç«Ò è Ö_×�× f ì�Î��ηӪÎ�¼�Î� �ÅcÛl÷,Ý�Ñ,À IJä�Õ#�oÎ�Ð+Î+ áÀ ÄlÏ_Ù�Å`Á�Á²Õ )Î��*Î�ü�¿`Û�Å�Ü&Õ*Ó+Î�û�Î��!Ý�Í�Ç«Ì�Õ ý�Î�$*Ù�¿`Ç�Ì�Õ��/Î�¼!Î�ý�Ú�¿`Ò�¿,Õ�Ø�Î�û·¿`Ûl÷�Å_Û�Õ�Ó+Î��+ͫIJÄlÅ_Ç&Õï¿`Ç�Òk��Î Ø�Ù,Ý�¾+¿`Ã`Õo�0�c��� �#%��`¬ � &����l�vÎ#')(·Õ,Ô�þ �Éÿ è Öv×É× f ì`Îþ�Î#��Î *ðÎ�+ªÀ ¿�Ý*Õ#��Î�ý·Î��,À ¿`Ç�Ì�Õ·¿`Ç�Òêü0Î���Î�ü�Ù*À Å_Ç&Õ �0�¯�«� �,%��`¬ � &/���l� Î '-(*Õ*Ô,þ �«× è Ö_×�× f ì�Î.*Î�üªÎ*û�Î /Å_¿`Ç�Õ ���!�«�*»)�������«� Î�/�'�Õ�Ö�Ô-.*Ö è Ö�׫ÿ�ÿ*ì�Î ×*ÎM��Î���Å_Å�ÁlÕ�0 ������� �1%ª��� � Î�/�/)(·Õ!��� � è Ör× �É×,ì�ÎÖ���ÎM��Î���Å_Å�ÁlÕ��ª�«� �/¥0�_�c�o���,��Î�2�Õ�×«× è Ö�× ��×*ì`Î Ö«Ö�Î3�!Í�Î%��Î!Ð�Å`À�Ï_Ù�Å`Á�¿`Ç�Ò )Î!ô_Î!ý«Ù*Á�À¡Ý�¾�À ÃcÕ ³·�«¬ ���0�c��� �� � ç �54 ��Õ ÿ f � è Ö�×,þ �*ì�ÎÖ f Î �ãÎ ��Î�ý*Á�Å_ä_Ý�Ñ�Õ�ç �¯�_�¯�®�Þ�c�+�Ë�¡�­�v¦����­¬��ï�ð�` _�����,�c���®���§�����c�ã³���»�� �³·��»�¦·���¡�¯����Õ!û�ÙÉÜ,ÃvÀ Ï_Ã�Ð�Å_Ñ,À Å_ñ�Õ0ý�Ý�Ñ,À ÅcÄðý�Ï`À Å_Ç�ÄvÀ�Æ­À Ï~Ð�Å_Ñ,À¡Å_ñªÃ76�ý�Å_Ï_½ ÄvÀ Ý�ÇêÓ�Õ!ô_Î )Î38�Ù,¿�Á�¿cÄlÇoÀ ÷�Ý�Ñ è Å_Ò�Î�ì�Õ3�+¿cÛlñªÝÉÝ�ÒêÓ�Ïc¿`Ò�Å_¾�À Ï�û Í«Ê,½ Á§À�ÃlÙ«ÅcÛlÃ`Õ*Ñ·Î&Öcþ,Õ�Ú,¿cÛlÄ�Ô è Ör×�×Éÿ,ì�Î Ö_Ô*Ϊô_Î� )Îm�·À�ƧÃlÙ,À¡Ä�äà¿`Ç�Ò9�ðÎ��ãΪý�Á¡Ü¯ÝÉävÝ�Ñ�Õ +�!�ª�c�«� � 0 ����� ��³���»§� � �:<; Õ*Ô�ÿ è Ö_×-�*Öcì�Î Ö �*Î ÞÎ��ïÎ �¿cÄlÙ�Ý�Ç�Õ���Î ß¿`Í�Û­Ü&Õ=��Î �+Í�Ç,òÄ�ÅcÄ­ÄlÅ_Û�Õ>��Î��·Ý�Û�Å_Ç�ävÅ`Á§Á�À­Õ üªÎ ½?� Ò�Å@��Ý�Ñ,À Ý«Ç�Õ�¿cÇ,ÒA��ÎB �Ý�Í�Å«Õ �Ë���c�É� �DCc���,��� �7E �*Õ f þ�×è Öv×É×�Ô�ì�Î Ö_ÿ*Î ��Î��+Î��jÅ_òÄ`Õ ���!�«�*»)�������«� Î���/�Õ�ýÉÍ�Ú,Ú,Á�Î§Õ f ��×�ý è Ö�×���Ö�ì`ÎÖ<��Î � ��±��¯�����¡���X�,� � � �É���,»�»�¦*�®±«� Õ�ѷΪÖ�Õ�ÓªÎ�¼�Î3 �ÅcÛl÷,Ý�ñ+À Äläã¿�Ç«ÒÞ¼!Î 8�Ç,Å`Á§Á�Å_Û è Å`Ò«Ã`Ρì�Õ"Ó�Ï_¿cÒ,Å_¾ãÀ Ïjû·ÛvÅ_òÃ`Õ=�3� ¿`Ç�Òp��ݫǫÒ�Ý�Ç è Ö_×-��×�ì�Õ Ú�Î � f Ö«ÎÖ`þ�Î� ªÎ �ãÀ Å_ÇÉÜ&Õãý·ÎãÐ+ΪØ�Å`À â�Å`À�Ûl¿�Õ� ªÎãÐ/ݫҫ¾+¿�Ï_ú�Õ�ü0Î�ü�Ý�ñª¿cÏ`Ù«Å�Õãý�Î Ó�ÍoƭƧÛlÅ_Ä`Õ íðÎ*Ð�Å_Ò,Ý�Ç�Õ*¿`Ç�ÒB�oÎ�û�À ÅcÛlÛlÅ«Õ �@�9� : ����Õ�Ö�×,þ è Ö_×�× ��ì�Î �'&)( !*� ? ����l!*�� ² "*" Ë ��Ì { É |�É È Ã } É |�ÈeÉ È�~���Á��.��Á���Ã0Àx���LÊ�Ë�Ì�Ì�ÌMÊLÆ�¾�Ë5�dÊ�}�ÅT�