Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting

Theoretical study of the broken symmetry phase (BSP) transition line in solid HD reveals that its anomalous features provide evidence for quantum orientational melting. The observations of unusual reentrant behavior is a consequence of the symmetry properties of the system, namely, the fact that in...

Full description

Saved in:
Bibliographic Details
Published in:Физика низких температур
Date:1998
Main Authors: Freiman, Yu.A., Tretyak, S.M., Jezowski, A., Hemley, R.J.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 1998
Subjects:
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/175561
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting / Yu.A. Freiman, S.M. Tretyak, A. Jezowski, R.J. Hemley // Физика низких температур. — 1998. — Т. 24, № 7. — С. 683-688. — Бібліогр.: 29 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-175561
record_format dspace
spelling Freiman, Yu.A.
Tretyak, S.M.
Jezowski, A.
Hemley, R.J.
2021-02-01T18:04:33Z
2021-02-01T18:04:33Z
1998
Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting / Yu.A. Freiman, S.M. Tretyak, A. Jezowski, R.J. Hemley // Физика низких температур. — 1998. — Т. 24, № 7. — С. 683-688. — Бібліогр.: 29 назв. — англ.
0132-6414
PACS: 67.80.-s, 62.50.+p, 31.70.Ks
https://nasplib.isofts.kiev.ua/handle/123456789/175561
Theoretical study of the broken symmetry phase (BSP) transition line in solid HD reveals that its anomalous features provide evidence for quantum orientational melting. The observations of unusual reentrant behavior is a consequence of the symmetry properties of the system, namely, the fact that in HD all rotational states and transitions between them are allowed, in contrast to the behavior of the homonuclear isotopes H₂ and D₂. The systematic underestimation of the transition pressure characteristic of all theories of the BSP transition can be removed if crystal-field effects are taken into account. Remove selected
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Физические свойства криокристаллов
Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting
spellingShingle Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting
Freiman, Yu.A.
Tretyak, S.M.
Jezowski, A.
Hemley, R.J.
Физические свойства криокристаллов
title_short Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting
title_full Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting
title_fullStr Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting
title_full_unstemmed Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting
title_sort broken symmetry phase transition in solid hd: a manifestation of quantum orientational melting
author Freiman, Yu.A.
Tretyak, S.M.
Jezowski, A.
Hemley, R.J.
author_facet Freiman, Yu.A.
Tretyak, S.M.
Jezowski, A.
Hemley, R.J.
topic Физические свойства криокристаллов
topic_facet Физические свойства криокристаллов
publishDate 1998
language English
container_title Физика низких температур
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
description Theoretical study of the broken symmetry phase (BSP) transition line in solid HD reveals that its anomalous features provide evidence for quantum orientational melting. The observations of unusual reentrant behavior is a consequence of the symmetry properties of the system, namely, the fact that in HD all rotational states and transitions between them are allowed, in contrast to the behavior of the homonuclear isotopes H₂ and D₂. The systematic underestimation of the transition pressure characteristic of all theories of the BSP transition can be removed if crystal-field effects are taken into account. Remove selected
issn 0132-6414
url https://nasplib.isofts.kiev.ua/handle/123456789/175561
citation_txt Broken symmetry phase transition in solid HD: a manifestation of quantum orientational melting / Yu.A. Freiman, S.M. Tretyak, A. Jezowski, R.J. Hemley // Физика низких температур. — 1998. — Т. 24, № 7. — С. 683-688. — Бібліогр.: 29 назв. — англ.
work_keys_str_mv AT freimanyua brokensymmetryphasetransitioninsolidhdamanifestationofquantumorientationalmelting
AT tretyaksm brokensymmetryphasetransitioninsolidhdamanifestationofquantumorientationalmelting
AT jezowskia brokensymmetryphasetransitioninsolidhdamanifestationofquantumorientationalmelting
AT hemleyrj brokensymmetryphasetransitioninsolidhdamanifestationofquantumorientationalmelting
first_indexed 2025-11-25T23:55:35Z
last_indexed 2025-11-25T23:55:35Z
_version_ 1850590686095605760
fulltext ��� ������� �� �������� ������ ������������������ ! �"#��$!%'&�()�* )+-,#�'�.%0/1"�2�3!/1"�" 4650798;:=<?>;@ ABA?:DC�5�@FEHGJIH>-:?C�50IK<D>MLNC�LO7K<BL�<?>P7KQ�LORTSVUXW IYAZIK< L\[]:^>;C�I C�L_7`<?7 [KaKb-IK<-C�b^A 7c5�LO:d<eC0I C�L\7K<DI9QPAf:=Q\C�Lg<Mh i-j#k1lMk)mon�prq�sKt)uvt)uxwzy-k�{zk�|PnOpx}O~�to� ���1���g�\�����������������������!�\��������� ���g�����g���������N���� �¡��_��¢O���£�£¤r¥���¦��������g�\�§��¦�¨]©�ª.�«�g������¬�­��g� ¨]®�¯�°±¯_²�©x³� £�£������­�¨�´������������µ]¶�·x¸�¹�º\»]¼�½�¾g¹ ·�¸�¿�ÀÁ¹�º�ÂgÃ�Ä�Å�¸g½OÄ�Æ�Ç]Ã�È�¸ lDk�É�pËÊ k§ÌxÍ^Î �!q �]�NÏg��Ð����±�������Ñ���]�����g�Ò�����'�§���\���������=�±�������������§�0���O������¤�Ó«�N�\��¢��§�0���.Ô����_������¢g �¨�����Õ����Ñ �¬�¢���¤'�*���!Ó'¢g����¨���NÖ��*�1��×rØ�®�ªg¨�Ù�°�Ú�Ø�Ù�°ÜÛD�\��¢gÕ����eÝ�¨]�1��Õ��£��¤µ*¶�·x¸�¹�º�»�¸g¿�Þ�ß\¾OÀÁ¹ ¿�Âgà à�¸�¿]à á�½OÆ�â�à à�º ãJk!ÉËkxäPpåsçæ p.~ è��g���' �¡�����¢���Õ'����Ð������������N¡�����¤êé«�����������_����ëå� ¦' #�����O�\�_���\�.Ô����_������¢g �¨!é«���O���O¦'���.�£�����Ò�N���]�Ò���£�)����Ûê���� ��N��¦��§����¨«Ù�Ý�Ù]¯�!�\����¤���������¢g #Ôx�g��¤ÜìÁÛíÛê���Ñ ��N��¦'�§�£�£¨�î�éêÝ�°�°±¯_Ù�¨x´�Ó�¬µ*¶�·x¸�¹§º\»�Å�¾�·Ëº§¾Oï�Àrð�º\à âg¹�á)à ¾�ñ�È ò�¾�â�¾g¹�Ç�¾�ñ�ó�¸�½\âgÅ;ôOõ'ö�ô_õ�õ�÷ ø�Å�¾�Æ�½O¾gÂ�¹�â�¸�º!ùOÂOÈ�ñ�ïPÆ�¼.Â_Å�¾�ú�½OÆ�Ä�¾�¿Pù�ï0·#·Ë¾gÂO½\ïêà�Å�¸�ùO¾�ûgü!ý�þ!ÿËÂO½O¸�¿�ù�¹§Â_¹§Æ�¿-ºÒ¹�¿�¾�¹�¿êù_Æ�º\¹�ñ����c½�¾�Ç�¾�¸£º�ùËÂ\Å�¸�Âo¹�ÂOù ¸�¿�Æ�·Ë¸�ºNÆ�È�ù�¼N¾g¸�ÂOÈ�½_¾�ù�à�½OÆ�Ç�¹�ñ�¾ê¾gÇ�¹�ñ�¾g¿�â�¾P¼NÆ�½���È�¸�¿�Â_È�·6Æ�½g¹�¾�¿�Â_¸�Â�¹�Æ�¿�¸�º#·Ë¾�º�Â_¹§¿�ð�Ã�ø�Å�¾;Æ�ú�ù_¾�½�Ç�¸�Â�¹�Æ�¿�ùÜÆ�¼)È�¿�È�ùOÈ�¸�º ½O¾g¾�¿�ÂO½O¸�¿�Â#ú�¾gÅ�¸�Ç0¹�Æ�½o¹§ùx¸�â�Æ�¿�ùO¾���È�¾�¿�â�¾rÆ�¼.Â\Å�¾rù�ï0·#·Ë¾gÂO½\ïêà�½�Æ�à�¾�½_Â�¹�¾�ùËÆ�¼.ÂOÅ�¾rù\ï�ùOÂO¾g·�ö�¿�¸�·#¾£º�ï«ö«Â\Å�¾�¼�¸�â�ÂxÂOÅ�¸�Â˹�¿ ��� ¸�ºNº.½�Æ�Â_¸�Â�¹�Æ�¿�¸�º.ùOÂ_¸�ÂO¾gù)¸�¿�ñ-ÂO½O¸�¿�ù�¹�Â�¹�Æ�¿�ùoú�¾�Â_áx¾g¾�¿êÂ_Å�¾�· ¸�½�¾�¸�ºNºNÆ�áx¾gñ«ö!¹�¿-âgÆ�¿�ÂO½_¸�ù_ÂËÂOÆ;ÂOÅ�¾�ú�¾�Å�¸�Ç�¹�Æ�½oÆ�¼.Â_Å�¾ Å�Æ�·ËÆ�¿�È�â�º§¾g¸�½�¹§ù_Æ�ÂOÆ�à�¾�ù�� �¸�¿�ñ��� êÃxø�Å�¾ ù\ï�ù_ÂO¾g·#¸�Â�¹�âêÈ�¿�ñ�¾g½�¾gùOÂ�¹�·Ë¸�Â�¹�Æ�¿ Æ�¼)Â_Å�¾PÂO½O¸�¿�ù�¹�Â�¹�Æ�¿^à�½O¾�ù_ùOÈ�½�¾;âgÅ�¸�½�¸�âg¶ ÂO¾g½�¹�ùOÂѹ�â�Æ�¼�¸�ºNº]Â_Å�¾�Æ�½g¹�¾�ù1Æ�¼�ÂOÅ�¾Ëü!ý�þ Â\½�¸�¿�ùѹ�Âѹ�Æ�¿râg¸�¿rú�¾x½_¾�·ËÆ�Ç�¾�ñ�¹�¼�â�½�ï0ùOÂ\¸�º§¶\¼\¹�¾�ºNñr¾�¼�¼N¾gâ�Â_ù�¸�½O¾�ÂO¸�Ä�¾�¿Á¹�¿�Â\Æo¸�â�â�Æ�È�¿�Â�à þ� ���ý�»�����������������ö��� �� !"�#�%$'&�ö�(�ô�à )"*�Ã,+.ù -�.0/�1�/�24365�7,8:9�;0<>=�/#?@/�AB3%5"C,D#9�E0<�1�/GF"5�HJI"KMLNE�7�<O9�;QPSRT/GF�/�U:5V8:WX5JD YBZ�[�\0]G^V_�`badc#]feg_�\ h�i�jlk%m#npobjrq%sut�v�t4w0q�xryNm#z{qpk�|lt�y}i�|�~bnNt�oBj#�ds��#���l� ���@�'� � �b��h:�'��h���h �Q� wBnJj>suj>�0vGs mS�d�bqX�0�BjSw�tBs�sVq��dqpk%q�v�| ypt�n�suv��d~0|Bq%��o�vVi�j}~Bq��Bj#n�sVq�v�|�tBy����dm#�0v��dz�q�sJtQv�tBwBqgx�j#yN� ypj"x�vVs��f�Q�f��h�i0j�~Bq6yNypj>nuj>�0x�j#s�q6��wdnutBw�j>nuvGq�j#s�tBy{vVi�j�q6sNtB� vJt4wBq�x�sN�b�dsuvGmQ��x�j#s:x#mQ�B�0tQv��Bj0��m#s�m�n���kXj0��nujQk%m"v�j#~�sJtBk�j�kX| vJt�vGi�j�~�j���t�j>n����dmQ��v��dz�wbm#n�m�zSj�vJj>n��Mm#�b~}sN|Bz{z�j"vGnu|d� nujQk%m"v�j#~}���bxQk�j>m#nJ� sVwBq6��j#yNypj�x"vGs¡v��dnV�¢t4�0v�vJt��dj�yNmQnSz�t4nJj j#s�sJj#��vGq%m�kJ�£���Bj{v�t�sN|Bz{z�j"vGnu|¤nJj#���dq%nuj>z�j#�BvVs"�£i�|B~dnutQoBj#� m#�B~@~Bj"�BvJj>nJq��dz¥ibm"�Bj�v�¦�t�sVw�j"x#q�j>s>§�wbm#n�m��N���Om#�b~�t�n�vVi�tB� � � x"t4nVnNj#sVw�t4�b~�vJt�vGi�jSj"�Bj#��nJtQvVm"vGq�tB�Bm�k£���'m#��v��'z¥�0�dz{� �Bj#n�¨©�d¦�i0j>nuj>m#s�t4nJvVi�tB�N� � m#�b~�wBmQnJm#�N� � x"t4nVnNj#sVw�tB�B~�vJt t�~d~ª¨�sJvGm"vJj>s>��«N�¬vVi�j­x>m#sJj�tBy®���¯zStbkXj"x���kXj#s���vGi0j ���0xQk�j>q m#n�j�~Bq%sJvVqX��oB�dq%sViBm"�TkXj�m#�B~¢vGi�j�z�tBk�j�x"�£k�j#sO~�t���t�v w�t�sVsNj#sGs�m¢x"j>�0v�j#n{t4y{q%���Bj#n�sVq�tB�T��°:s�m�nJj#sN�'k�v#��vGi�j}��� zStbk�j�x"�'k�j>s¢~�t���t�v�ibm"�Bj±tBnNvGi0t4²TwBm#nVm³sJw�j�x#q�j#s�mQ�B~­m�kpk m#��ob�'kgm#n¢z�t�z�j#��v��'z´sNvVm"v�j#s�¨ = µ �p�Q��¶'�p�p� ��m#�B~­vVnVm#�BsVq%�vVq�tB�Bs��dj"v�¦Sj"j>�¢m�kpk£tBy�vViBj#z¬m#nJj�m�kpkXt�¦�j#~T� hTt�m{�Bj>nu|@o�t�t�~�mQwBw0n�t�·¸q�z{m"vGq�tB�T�'vGi�j�j�kXj"x"vGnNtB��~�j>�b� sJq�v�|³~Bq6s�vVn�q��0�BvGq�tB�Bs{q%�®vGi0j�� � mQ�0~����¹z�tbk�j�x"�'k�j>s{m#nJj vViBj³sVm#z�jB�S���Bv�q%�­vGi�j����ºz�tBk�j�x"�'k�j}vGi0j}x�j#��v�j#nV�%t�yN� x#idm#nuoBj³~0tQj#s��Bt�v�x"t4q%�0x>q�~0j}¦�q�vVi�vViBj}x"j>�0v�j#n��6tByN� z�mQs�s�� »Bq%��x�jSvGi0j�z�t0kXj"x"�'kXj�nJtQvVm#vJj>s�m#nJtQ�'�B~�q�vVs�x�j#��vJj>nV�6t4yN�pz�m#sVs �b�Bv�vViBj�q%�BvJj>nJz�t0kXj"x"�£k%m#n�q6��v�j#nVm"x�vVq�t4�bs�mQnuj¼nJj�kgm"vJj>~½v�t vViBj�x"j>�0v�j#n��6tByN�%x#iBm#nuoBjB�MnJt�vGm#vVq�t��0sStBy:vGi�j�zStbk�j�x"�'k�j>s�m#nuj m�x�x"t4z{wBm#�bq�j>~¾�B|�vVn�m#�bsVk%m#vGq�tB�Bm�k�~Bq%sJw'k%m"x�j#z�j>��vVs�t�y�vVi�j x"j>�0v�j#n��6tByN� z{m#s�s��4h�i0�ds��QvGi0jOn�t�vGm�vGq�tB��m#�d~{vVn�m#�bsVk%m#vGq�tB�{t4y vViBjSz�t0kXj"x���kXjSm#n�j�x�t��dw�kXj#~�~�|d�Bm#z{q�x#m�k k�|T�4°Os�mSnuj>sJ�'k�v�t4y sJ�Bx#i}tByNyN�6x�j#��v�j#n{n�t�vGm"vVq�tB�T��m#�³m#~b~Bq�vGqgt4�bm�kO��j#q�sJj>���bj#npod� k%q%¿�jªvJj>nJzÀm#wbw�j#m#nGs¾q%�lvViBjªm#�dq�sJtQvVnJt4wbq�xªwbm#nNv³tBy±vVi�j q%�0v�j#n�z�tBk�j"x��Tkgm#n:w�tQv�j#�0vGq%m�kJ�dm#s:yNq%n�sJv:idm#s �dj"j#��sVi�t�¦����0| �dm#�ÂÁ�nVm#��j#�b~�tB�B¿��N¶b���@ã�dq�~Bj#��x"j�yptBn}~dq6yNypj>nuj>�0x�j#s}q%� wbnNtBw�j#nNvVq�j>s�tBy:m#sN|dz�z�j"vGnVq�xÄm#�b~�sN|bz�z�j"vGnVq�x�i�|d~BnJt#oBj#�ds>� ¦�ibq�x>iÅm#nJjrm­x"t4�bsNj#�0�Bj>��x�j­tBy±vGi�j­x�t��dw¸kgq%��o¬t4y±vVi�j nJtQvVm#vVq�tB�Æm#�d~ÇvGnVm#�Bsfkgm"vVq�t4�Æt�y�vGi�j¬z�tBk�j�x"�TkXjlq%��vVi�j x"tB�B~Bj#�BsJj#~¥sNvVm#vJjB��iBmQs��bj"j>�ªnJj#w�tBnNv�j#~¥sJq%�0x�j¾vGi�j�s�qg·d� vVq�j>s��pȸ�f�'°¥k%m#nuoBj��Bjfodm"vGq���j�~�j"�dq�m#vGq�tB��t�y�vViBj�ÉËÊ©Ì@nGm"vVq�t yNnJt4z½vGi�jSq%~�j#m�kdi0x>w{�Bm�kX�Bj�t4y √ Í>Ê�È�ypt��d�b~{�d|@ÎMnNtB¿Bi0�Bm#� vVqpkXt���j"v�m�kJ���pϸ�@ypt�n¢���´m"v�Ðfj>nut�wBnJj>sJsJ�dnNj}�b|�·d�pnVm"| ~bq%yNyNn�m"x"vGqgt��Ѧ�mQs�m"v�vGnJq��B�bv�j#~��B|�vVi�j�m��BvGi�t�nJs�vJtÄypj#m"v��bn�j#s tBy:vViBj�q6�BvJj>nJz�t0kXj"x��Tk%m#n�q%��vJj>nVm"x"vGq�t��±t4y����ÂzStbk�j�x"�'k�j>s�� Ò ÓBÔQÕuÖ¸Õf×�Ø�ÙQÚ Û�Ü#Ý�ÞVßdÕfàOÕJá>Ø�Ù"â�ã�Ü�ä#ÞuÖ¸ÕJå�Ù æ Õ ç"è¸é äGÚêÞ�Ü#Ý"ë:ìdÕJåQÕfí4Ù#Û:î Ùfã�Þ�ï�ð#ðQñ »��B�'sNj#���dj#��v�x#m�kXx"�Tkgm"vVq�t4�bs{�B|ª»QvVnJÐËi0j#z�j"x>i0�B|­���b�{sN�dwb� w�t�nJv:vGibq%s:x"t4�0xQk��dsJq�tB�T� ���0v}vGi�j�z¡t�suv³sNvVnGq6¿Bq%��o¬~Bq%yNypj#n�j#��x"j>s±�0j�vJ¦�j�j#� vGi0j i�tBzStB���bx�kXj#m#n�i�|B~bnNt�oBj>�bs@�#� � m#�d~r� �Q� m#�B~­��� m#nJj j"�Bq%~�j#�BvS�B|}wBnJt4w�j#nJvGq�j#s�tBy:vGi0j�sNtbk%q%~BsS�b�B~Bj#n��Bj#nN|}iBq�odi wBnuj>sVsu�¸nuj>s��M°�v@kXt�¦¹wBnJj>sJs��bn�j0�MvVi�j�yNnNj"j�nJtQvJtBn��B�bm#�BvJ�dz ���bz��Bj#nVs±¨�� nuj>z{m#q%� odtQtB~Å���'m#��v��'zÀ�0�dz��Bj#n�s�ypt�n zStbk�j�x"�'k�j>s:q6��sJt0kgq%~¢� � m#�b~�� � �¸m#�b~�m�vSkXt�¦lv�j#z�w�j#n�m�� vJ�dnNj#sStB�bk�|³k�tQ¦�j#sNv{sNvGm"vJj>s�¨ = µ q%�±vGi�j�j"�Bj#��¨�s�w�j�x#q�j#sm#nuj�t�x�x"�dwBq�j#~ ��»Bq��0x�j�vGi�jO¨ = µ s�vVm"v�j�ibm#s:m�s�w0iBj#n�q�x#m�kpkX|su|�z{z�j�vVn�q�x�s�wbm"vGq6m�k�~0q%sNvVnGqg�B�BvGqgt4� � vVi�j#n�j�q%s{�Bt±tBn�q�j#��vGm�� vVq�tB�Bm�kBtBn�~0j>n�q6���£�N� � m#�b~��Q�u� � m"v:k�tQ¦¥w0nNj#sGsu�¸nuj>s ~Bt�¦�� vJt � = µ Á{��h�i0jÄq6��v�j#nVz�t0kXj"x���kgm�nOq%�0v�j#n�m"x"vGq�tB��m�~Bz{q�·Bj#svVi�j¼iBqXo0i0j#n�nNt�vGm"vVq�t4�bm�k�sJvGm"vJj>s�q6��v�t�vViBj±odnJtQ�'�B~ªsuvGm#vJj ¦�m#��j}yp�d��x"vGq�tB�T�:�B�Bv@vGiBq6s�m#~bz�q�·bv��dnuj�q%sÑv�t�t¼sVz�m�kpkOvJt wBnutB~��dx"jOvViBjSt�nG~�j>nVq���o�m"v�Ð�j#nNt�wdnuj>sVsu�dnJjB�� ¥q�vGi@q%��x#n�j#m#sV� q���o¤wBnJj#s�sJ�dnNj0�dvViBj�m#�bq%sNt�vGnutBwBq�x�q%��vJj>nVz�tBk�j�x"�'k%mQn:q��BvJj>nJm#x#� vVq�tB�¾q%��x#n�j#m#sNj#s�� m#�b~³m#~Bz{q�·BvJ�¸nuj>s�t4y�iBq�odiBj#n�nJtQvVm#vVq�tB�Bm�k suvGm"v�j#s�q��BvJt�vViBjÑo¸nNt��d�0~¼suvGm"vJj�¦{m"�Bj�yp�d�0x"vGq�t��}�Bj"x�tBz�j zStBnuj¡m#wbwBnuj�x#q%m"�TkXj0�4j"�Bj#��v��'m�k k�|�nNj#sJ�'k�vGq%��o�q6��vGi0jOvVnVm#�BsVq%� vVq�tB�Æq%�BvJtÂm wBidm#sujlx>ibm#n�m�x�vJj>nJq�Ð�j#~��B|�tBn�qgj>��vVm#vVq�tB�Bm�k t�nG~�j>n���h�idq6s�vGnVm#�BsVq�vVq�tB�ªibm#s��bj�j#�­x>m�kpk�j>~­vViBj¾�dnNtB¿�j#� su|�z{z�j�vVnN|ªwBidm#sJj��#�O»0Î � vVnVm#�BsVq�vGq�tB�T��h�idq6s�vVnVm#�dsJq�vGq�t�� ¦�mQs�ypt�nJj�vJtBk%~��B| �:m#q�x#i¼m#�b~ ãv�vJj>nVs�q%�½�����Q¶ ���b��m��B~ ypt��d�d~�j�·dw�j>nVq%zSj#�0vGm�kpkX|��B|­»Bq%k��Bj#n�m}m#�B~� ¥q��G��o¸m#m#nV~�j#� q�������Í���q�� � �N� � ���b�:m#�d~�vViBj#���B|��'tBnNj#�BÐ"m#�Bmb�M»Bq6k��Bj#n�m m#�B~��OtQj"v�vJjQk�q%� ����Í��­qX� � �N� � ��Í0�"���±tBs�ibm#nJ|£���©i�j#� m#�B~ »Bq kX��j#nGm � �B�¾j"·dwBj#n�q6z�j#��vGm�kpk�|Âsuv��'~Bq�j#~ÅvGi�jl�O»bÎ vVn�m#�bs�q�vVq�t4��q�� ���Çm#�b~³nJj#w�t4nJvJj>~®j��dq�~0j>��x�j�ypt4n{m��0t4�b� zStB��t�vJt4�bq�xOwdi0m#s�j�kgq��0j���qJ�,jB�p�4m"!"#$�}z�q%�bq�z��dz m#�d~{vViB�bs nuj�j#�BvVn�m#�0v��0j>iBm��Bq�t4n � vGibm"v�x"t4�0vGnJmQsuv�j#~³z{m#nG¿�j>~�kX|}¦�q�vVi vViBm"v�ypt��¸�B~¢ypt�n � �u� � m#�b~ � �u� � � h�i�j �:»bÎ vGnVm#�BsVq�vVq�tB� qX� ��� ¦�m#s ypt��d�b~ m#v ��Í'�,È%��ÎMm{m#�B~@È�Á��B¦�iBqgx>iÑodm"�BjS�B|�j"·dvVn�mQw�tBk%m#vGq���o�vGi0j vJj>z�w0j#n�m"v��'nNj�~�j#w�j#�d~�j#�0x�j�m{vVnVm#�BsVq�vGq�tB��wBnJj#s�sJ�dnNj&! Â\½ m#v� = µ Á¥tBy'! * ≈ �(��� µ � ± ¶ � ��Î�m0��h�i0jÄz{q%�Bq%z��dzÅw�tB� q��0v�¦�m#s@k�tQx#m#vJj>~¾m#v&! � ≈ ��È)��Î�m�m#�b~*� � ≈ È µ Á t�nq���nuj>~0�Bx"j>~{�'�Bq�vVs�m"v+� � Ê', ≈ �.-�¶Ñ�/,�q�s�vVi�j�nJtQvVm#vVq�tB�Bm�k x"t4�bsNvVm#�Bv � �©h�iBj}~Bq%sJt4nV~�j#nJj>~ wBidm#sJj}q�s�nuj�j#�0vGn�m���v#�:vGi0m#v q�s�� ypt�n�yNq�·0j>~¾wBnNj#sVsN�'nNj�q6�±vGi�j�nGm#�4odj��dj"v�¦Sj"j>�0! � m��B~! * ��m#s�v�j#z�w�j#nVm"v��dnJj�q�s�q��0x>nuj>m�sNj#~��bvGi0j�sJtBk%q%~@oBt�j>s�yNnNtBzm{~dq6sNtBn�~0j>nuj>~¤v�t�m#�¤t�nJ~Bj#nNj#~�m��B~�vGi0j#��v�t�m�~bq%sNtBnJ~Bj#nNj#~ wBi0mQsNj t���x�jªmfodm#q%����h�i0j�sVk�tBw�j�tBy�vVi�j�tBn�qgj>��vVm#vVq�tB�Bm�k zSj�k�vGq%��o�x"�dnJ��j 12! ÂN½ Ê'13�³q�s{��jfo0m�vGq��Bj�m"v�v�j#z�w0j>nJm"v��'nNj#s k�j>sJs�vViBm#� � � m#�B~�w�t�sVq�vGq��Bj�m"v4� > � � ��°:v5� ≈ ���¾Á �6�TÊ7, ≈ � � vGi�j{vGnVm#�bs�q�vVq�t4�±wBnNj#sVsN�'nNj{�Bj"x�tBzSj#s�j>���bm�kMvJt ! * �M°��dt��Bj�vGibq%sSvJj>z{w�j#n�m#vJ�dnNj0�MvViBj�sJvJ�d~dq�j#~³w�t�nJvGq�t��±t�yvVi�j�vGnVm#�dsJq�vGqgt4� x��bn���j�q%s±mQwBw0n�t�·¸q�z{m"v�j�kX| kgq��0j>m#n±¦�q�vVi vJj>z�w0j#n�m"v��'nNj0� h�i�j�w�j"x"�£k%q�mQn{ypj>m"vJ�dnJj>s�tBy����¹nJj#s�w0t4�bs�q��'k�j�ypt4n�vGi0j nuj>z{m#nV¿Bm"�'k�j��bj>iBm"�bq�t4n�t4ySq�vVs{�O»bμvVnVm#�dsJq�vGq�t��¾kgq6�Bj�m��B~ vVi�j��Bm�v��dnujOtBy'vViBj�vGnJm#�dsJq�vGq�t���q�vGsJj�kgy�m#nujOvGi0�ds�tBy�t4�0�dq�t4�bs q��0v�j#nNj#s�v�� hT¦�t}~Bq%yNypj#nJj>��v�zSj"x>ibm#�bqXsVz{s�i0m"�Bj��bj�j#�}wbnNtB� w�t�sJj>~¾q%�¾vGi�j±k%q�v�j#n�m�v��dnujB�98��0j�t�ySvGi�j>z¤��x>m�kpkXj#~³�0�dm#�b� vJ�¸zÇt4nVq�j#��vGm"vVq�tB�Bm�kOz�j�kXvVq���o��f� µ �p�����f��¦�mQs{sNvJ�d~dqgj>~}yptBnvViBj�zStB~�j�k£s�|Bsuv�j#z¥t�y�m�kpkg��¨����bmQ��vJ�dzln�t�v�tBn�s��0j>ypt�n�jSvVi�j wbiBm#sJj�vGnVm#�BsVq�vGq�tB��q������Ʀ¡m�s�ypt��d�0~³j"·dw0j>nJq%z�j>��vVm�k k�|�� ° ~0q%yNypj>nJj#��v�m#wBwdnutBm"x>i®v�t±vGi0j¤w0nNt��'k�j>zǦ�m#s�wbnNtBw�t�sJj>~ �b|�»�vVnNÐ�i�j#z�j�x#id��|r���b�f��°:x"x�t�nG~0q%��o�v�t¾vGi�j}k%m#vJv�j#n�z�t�� ~0jQkJ��vVi�j�zSj"x>ibm#�bqXsVzÆtBySvGi0j�wBnJj>sJsJ�dnJj>�p~BnVq��Bj>�¾t�nGqgj>��vVm#� vVq�tB�Bm�k�t�nG~�j>nVq%��o³q��}sJtBk%q%~¾���Âq�sSx"tBz�w'k�j"v�j�kX|�~bq�yNypj>nJj#��v yNnJt4z vViBm#v�q%�Ç� � m#�b~�� � ��m#�B~�q�s�nujQk%m"v�j#~Åv�tlvVi�j x#nJj>m"vVq�t4�¢tBy:m�sVq���o'k�jÄ~0jQk�tQx#m�k%q�Ð�j#~�¨ = ��suvGm"v�j�vViBm"v�q�s�m ~bq%nNj"x"v�m#�bm�kXt�o¥t�y�vGi0j³Ð�j#nJt4�pw�tBq%��v±�Bm#x#m#��x�|ª¦{m"�Bj>s±q%� �0�dm#�0v��dzÅx#nJ|�suvGm�kgs>�MhMi0�ds>�MvGi0q%s�zSj"x>ibm#�bqXsVz�q%sS~bq%nNj"x"v�k�| vVq�j>~®¦�q�vVi}vGi�j���j#q�sJj>���bj#npod�Nk%q%¿�j�vJj>nJz¹q%�®vGi�j�q%�BvJj>nJz�t�� k�j�x"�Tkgm#n�w�tQv�j#�0vGq%m�k�vVidm"v�q%s�sVw�j"x>q%yNqgxªv�tÅ��� m#�b~ qgvGs tByNyN�6x�j#��v�j#nOnJt�vGm#vVq�t��M� h�i�j¥�O»0ιvVn�mQ�0sGq�vVq�tB�¬iBmQs¾m"v�vVn�m#x"v�j#~lx"t4�bs�q%~�j>nVm"�'k�j q%�0v�j#nNj#sJv�yNnJt4z �btQvGi¢j"·¸w�j#n�q6z�j#��v�m#�d~¤vGi0j�t�n�|�yptBnSz�mQ��| |Bj#m#n�s¾��suj�j0�Äypt�n±j�·dm�z�w�kXj0�������p��¶Q�Ë�ËÏ'��m#�b~¥nJj#ypj>nuj>�0x�j#s vViBj#nNj#q%� � �dh�i�j�z�mQq��Ñj>yNyptBnNvVs�q6�{vGi0j�t�n�|�ibm"�BjO�Bj"j#��z{m#~�j j#q�vGi0j#n�v�t­x>m�k�x"�£k%m"v�j¾vGi0j³vGnJm#�dsJq�vGqgt4�¥w0n�j#s�sJ�dnuj¼m�v�ÐVj>nJt vJj>z{w�j#nGm"vJ�dnJj��>�:��²'¶ µ ��t4n�v�t�wBnJj#~Bq�x"vOvGi0j@kgm"vJvGq�x"jÄsJvVnN�Bx#�vJ�¸nujÄypt�nOvVi�j@�O»�wBibm#sNj��N¶��f²'¶��b�f�d°Oypv�j#n:vViBjÑ�O»bÎ�vVnVm#�B� sVq�vVq�tB� ¦�m#s}ypt��d�B~ j"·¸w�j>nVq�z�j#�0vGm�kpkX|T�Äq�v}�Bj"x>m#z�j�x�kXj#m#n vVidm"v±vGi0j�x>nJq�vGq�x#m�k�~�j#�dsJq�vGq�j#s±~Bj"v�j#n�z{q%��j#~lq%�ªvViBj�yNq�nVsNv vViBj"t4nJj"vGq�x#m�k©sJv��b~dq�j#s�� �¸� �����p���0�S¦�j#nNj�x"tB�BsVq%~�j#nVm"�'kX|}�b�B� ~0j>nuj>sJvVq%z�m#vJj>~¢nNj�kgm"vVq��Bj�vJt�j"·dwBj#n�q6z�j#��v#�T«u��z�tBnNj�nJj"x�j#��v ¦�tBnJ¿T��sJj"��j>nVm�k��dmQsJq�xÄm#sJsJ�dz�w�vGq�t��ds�m#�d~�sVq�z{wbkgq6yNq�x>m"vVq�t4�bs tBy�vViBj#sNj�j#mQnVk�|¥vVnNj#m"vGz�j>�0vGs±ibm"�Bj��Bj�j#�¥sJ�B�;��j�x"v�j#~ v�t x#mQnuj>yp�'k}m#�Bm�k�|Bs�q%s���m#�b~ m�v�vJj>z�w0vGs¾¦�j#nJj¥z�mQ~�jªv�tloBt �bj�|�t��d~�vViBj�z�t4sJv����0j>sJvGq�tB�Bm��'kXj�m#wBwbnNt�·dq%z{m"vGqgt4�bs"�78���j tBy�vGi�j�z�t�sJv¡sVq�od�Bq6yNq�x>m#�0v�mQwBw0n�t�·¸q�z{m"vGq�tB�Bs�q%sSvGi�j�z�j>m#� yNq�j�k%~¬���=< � m�wBwBnJtQ·'q�z�m"vVq�tB�T��h�iBj�j#yNypj�x"v�tBy�x"t4nVnujQk%m#� vVq�tB�Bs:�Bjfo'kXj"x"v�j#~�q6��vVi�j>��<�m#wdwBnut�·dq%z{m"vGq�t���¦{m#s�vGmQ¿�j>� q%�0v�t±m#x"x�t��d�BvÑ��q%�}~dq�yNypj#nJj>��v�¦�m"|ds � �B|=�MmfoBj#�d~Bq?�G¿}m#�d~ »Bqpk���j>nVm��>�ËÍb��m#�b~@�B|�»BwBnVq�¿�m#�b~�Á�kXj#q%���>�:�b�f�dvGi�jSj#yNypj�x"v tByªvVn�m��Bsfkgm"vVq�t4�b� nut�vGm"vGqgt4��x"tQ�dw�kgq���o ¦�m#s¬suv��d~bq�j#~ �0| @Bm#�dsJs�j#�ªm#�b~­��m��ª~�j#n�°��Bt4q6nG~l�N¶ µ �>��m#�d~­vVi�j³x"t4�bsNj#��0�Bj#��x�j#s�t�y³~bq%yNypj>nuj>�0v�ypt4nVz�s�t�y}vViBjªq%�0v�j#n�z�tBk�j�x"�£k%m#n w0tQvJj>�0vGq�m�k'¦Sj#n�jSvJj>suv�j#~��0|�°:��q6nGm#z½j�v:m�kJ���f���b�f��h�iBt��Bodi m±�B�bz��Bj#n{t4y�q%z�w�t�nuvGm#�0vÄnJj#sN�'k�vGs{j#z�j>n odj>~¾yNnJt4zÆvGi0j>suj sJv��b~dq�j#s#��tB�bkX|}sVz�m�kpk�x#iBm���oBj>s�¦�j#nNj�ypt��d�0~³q%�±vViBj�wBnNj#� ~bq�x"v�j#~lvGnJmQ�BsVq�vGq�tB�¬w0n�j#s�sJ�dnujB��« v¾¦�mQs³su��oBoBj#sNv�j#~���¶ µ �vVidm"v�z�mQ��|��6�bt4~0|�j#yNypj�x"vGs{m#nJj�nJj#s�w�tB�BsVq��'k�j�yptBnSvViBj�sJ|�sJ� vJj>z{m"vGq�x��d�b~�j#nJj>suvGq%z{m"vGq�t��¾t4ySvViBj�vGnJmQ�BsVq�vGqgt��¾wBnJj>sJsJ�dnJjB� «��@vGi�j{wBnJj>suj>�0v©w0mQw�j#n"�d¦�j¡w0n�t�wBt�sJj¡m{��j"¦ m#wbwBnNtBm"x#i@v�t vVidq%s:w0n�t��'k�j>z¤�£« vOq6s:s�i0tQ¦��@vGibm"v:vGi�j�z�m#q6��~0q%sJx>nuj>wBm���x"| �bj�vJ¦Sj�j#�ÅvGi0j�t�nJ| m#�d~Åj"·dw�j#nVq%zSj#�Bv�x#m#�Å�Bj nuj>z�tQ�0j>~ j"�Bj#��q%� vGi�j)�=< m#wBwbnNt�·dq%z{m"vGq�t���q6y{x>nJ|BsNvVm�k�yNq�jQk%~�j#yN� ypj"x�vVsOm�nNj{vGm#¿�j#��q%��vJt�m�x�x"tQ�d�0v#� °©�0tQvViBj#nSwBnJtQ�'k�j#zÅvGiBm"v�iBm�sO�0j�j#��q6��v�j#�dsJq���jQk�|�sJv��b~B� q�j#~Åq%�¬vViBjªx"t4�0v�j"·Bv�t4y®vGi�jl�:»bιvVnGm#�bs�qgvGq�t�� q%s¾vVi�j �0�Bj#sNvGqgt��±t�y�vGi�j�sNvGnJ�Bx"v��bn�j�tBy�vGi0j��O»�wBibm#sJjB��«N�±j>m�nVk�| vViBj"t4nJj"vGq�x#m�k�sNvJ�¸~0q�j>s��A�b�p�����p���b�p�fÍb�f��vViBj�suvGnJ�Bx"v��dnJj�m#sJ� sJ�dz�j>~®v�t}�Bj !OÌ È α �p�dq�vVnNt�oBj>�¾sJvGnN�0x�vJ�¸nujB��h�i�j�x>nu|dsNvVm�k sJvGnu�dx"v��bnNj�tBy vGi�j�ibqêo¸iB�6v�j#z�w�j>nVm"v��bn�j�wbiBm#sJj�v�t±��¶ µ ��ÎMm BQñ6C ×ËÚ DVÚ äËÜFEBÚ D�äVÚ ä/G£á"Ù#Û+H"Ù#Ø�ÜVâgÔ"ØpÞ"ï ð"ðQñ�Þ$I�Õ JKC�Þ/E ç7L ��wdi0m#s�j�« � ¦�m#s�ypt��d�B~±vJt��dj�i0x#w³��¶¸�Q�����B�Bv�vVi�j�sJvGnu�dx#� vJ�dnNj�tBy:vVi�j��O»�q%sSsJvGqpkpk��¸�B¿0�Bt�¦����7��j"x"j>��vSvViBj"t4nJj"vGq�x>m�k suj>m#nJx#i yptBn±vVi�jªk�t4¦Sj#sJvG�6j>��j#nuoB| sNvVnJ�Bx�vJ�dnJj�t�y¤vGi0j��O» wBi0mQsNj �¸m#suj>~ tB� vGi0j¯k�t4x#m�kÂ~0j#�BsVq�vJ| m#wBwBnJtQ·'q%z�m�� vVq�tB� �N¶�¶�²'¶QÏb�¼m#�b~ÅÌ������������ � z�tBk�j"x��'k%mQn ~B|B�Bm�z�q�x#s sJq%z���kgm"vVq�t4�bs³�J¶�����¶(�b��su�Bo�oBj>sJv�m ypt4�bnG�pzStbk�j�x"�'k%m#n±t4nV� vVi�tBn�i0t4z��dq�x³sJvGnu�dx"v��dnuj³t�y�!OÉ"Ì4¶ ô sN|dz�z�j"vGnJ|T� 8��­vGi0j t�vGi0j>n�ibm#�B~���nuj�x"j#�Bv�s�w0j"x�vVnNtBsNx"tBwBq�x³~Bm"vVm³~0t��0tQv�nu�£k�j t��Bv9!OÌ�È£�'m#vSk�j>m#sJvOyptBn � �u� � �N¶(�b�f� «N�¾vGi�j�wBnuj>sJj#��vÄw0m#wBj#n�vVi�j�wBiBm�sNj�~Bq%mfodnVm#z�tBySsJtBk%q%~ ���´iBm#s��Bj"j>�­x#m�k�x��Tkgm"vJj>~M� ¥j³s�i0tQ¦�vGibm"v��B�bm#�BvJ�dz t�nGq�j#�BvVm"vGq�t��dm�k�z�jQk�vGq6��o x#m#�lnNj#mQ~Bqpk�|¥m#x"x"tQ�d�0v�yptBn¢vGi0j �d���¸su�dm�kOypj#m"v��dnJj#s�tBySvVi�j±�O»BέvGn�m��BsVq�vGq�tB�³q6�}vGi0q%s�sJ|BsV� vJj>z@��h�i0j}�Bj#idm"�dq�tBn�t�y�vGi0j³wBibm#sJj}vGn�m��BsVq�vGq�tB�½kgq%��j³q%� sutdk%q�~����¹m#s�x�tBz�wbm#nNj#~}¦�qgvGi¾� � mQ�0~�� � qXs{m@x�tB�BsJj#� ���0j>�0x�j±tBy{vGi0j�sJ|Bz{z�j"vGnu|�wBnJt4w�j#nJvGq�j#s@t4yÑvGi�j³su|�sJvJj>z¤� �Bm#z�j�kX|±tByOvVi�j�yNm�x�v�vGiBm"v�q6�¾���ÂvVn�m#�bs�q�vVq�t4�bsS�Bj"v�¦�j�j#� m�kpk:vGi0j¤nut�vGm"vGqgt4�bm�k�sJvVm"v�j#s�m#n�j�m�kpkXt�¦Sj#~¼q6�³x"t4�0vGnJm#sJv�vJt ����m#�b~±���@� 'Z� ���#e%c����Ba��Q]feg_�\�� «N�ªvViBj �=< m�wBwBnJtQ·'q�z�m"vVq�tB�T��vViBj ��m#z�qpk�v�t��dq�m��­t�y vVi�j¬sN|BsJv�j#z tBy kgq%��j>m�n�nut4vJt4nVs�q%�0v�j#n�m"x"vGq6��o��dq�m¬���dm�� sJq%���dm�~BnJ�dw�tbkgm#n�ypt4nJx"j>s x#m#���BjS¦�nJq�v�vJj>�@q%��vVi�j�yptbkpkXt�¦�q%��o ypt�nGzÇ� ¶�Íb�f§ � = ,�� � − ( � * η + � ô ) � � * + � * η � Ê©¶¸� ��� � ¦�i0j>nuj�� q�sSvViBj�tBw�j#nVm"v�t�nStByOmQ�4o��Tk%m#n�z�t�z�j#��vJ�¸z�� � *m#�B~ � ô m#nJj�zStbkXj"x"�'kgm#n�m#�d~@x#nJ|�suvGm�kMyNq�jQk%~�x"t4�bsNvGm���vGs�� ,q�s{vGi0j�nJtQvGm�vGq�tB�Bm�k:x"tB�BsJvGm#��v�� η = √ � π Ê � < � � * > q�s{vGi0j t�nG~�j>n¾wBmQnJm#z�j"v�j#n��Äm#�d~�������� ��~Bj#��t�v�j#s}vVi�j#nGz¡t�~�|d� �Bm#z{q�x�m���j>nVmfodq%��o�¦�q�vVi�vGi�j���m#z{qpk�v�t4�bq�mQ�}�JÃM� �£��� � ��� h�i�j�� <±x�tB�BsJvVm#��v � * = − ∑�! ′ ∑ αβγδ " \� ′ αβγδ # �αβ # � ′ γδ � ��¶ � ¦�i0j>nuj " �\� ′ αβγδ q�s�vGi�j�q%��v�j#nGm"x"vGqgt4��z{m"vGnVq�· ��~0j>yNq%��j>~Ñ�B|�vGi0j wBm#nVm#z�j�vJj>nJs@t4y{vGi0j�q%�0v�j#n�z�tBk�j"x��Tkgm#n@w�t�v�j#��vGq6m�k¡m#�b~��B| vVi�j¹k%m"v�vVq�x"jÂwBm�n�m#z�j�vJj>nVs$� # �αβ = ΩαΩβ − ô ⁄( δαβ �&% ���bz��Bj#nVs{vGi�j±k%m#vJvGq�x�j±s�q�vJj>s$� Ω q%s{m��d�bq�v���j�x"v�tBn{m�kXtB��o vVi�j�j#�B�dq kgq��'n�q��dz t�nJq�j#��vGm�vGq�tB�³tBy�vGi�j±z�tbk�j�x"�'k�j�q%�¾vGi0j sJq�v�j'%�� ¥ibq6kXj�vViBj�z�tbk�j�x"�'k%m#n�yNq�j�k%~¥q%s¤odj#��j>nVm"vJj>~½�B|ªvGi0j x"tQ�dw�k%qX��o¹v�j#n�z{s­q%��vVi�j¬qX�0v�j#n�z�tbkXj"x"�'kgm#n­q%��vJj>nVm"x"vGq�t�� w�t�v�j#�BvVq%m�kJ�dvGi0j�x#n�|BsJvGm�k%�pyNq�jQk%~�vJj>nJz���¶B� � ô = − Ï π� ∑ δ , ( ( δ) � � * (Ωδ) ��È � t�nGqêo¸q��bm"v�j#sSyNn�t�z�s�q%��o'kXj#�pz�t0kXj"x���kgm�nOvJj>nJz�sSq%�¢vGi�j�q%��v�j#nV� zStbk�j�x"�'k%m#n�w�tQv�j#�0vGq%m�kJ����j#nNj , (( δ) q6sSvGi0j�nVm#~Bq%m�k©yp�b�Bx#� vVq�tB� x>ibm#n�m�x�vJj>nJq�Ð�q���oÀvGi�j m#�bq%sut4vVnNtBwBq�x´wBm�qXn w0tQvJj>�b� vVqXm�k��N¶b�)�+* δ q%s vViBj�nVm#~Bq��dsV�6�4j"x"v�tBn t4yªvVi�j¹��j#mQnuj>sJv �0j>qXo0i��dt�nGs>� Ωδ = * δ Ê ( δ �Äm#�b~ δ m#nJj�q6�B~dqgx�j#s±tBy�vVi�j �0j>m#nJj#sNvS��j>qXo0i0�Bt�nGs>� h�i�j�t4nVq�j#��vGm"vVq�tB�Bm�k�s�vVm"v�j�t4y¤vGi�j�sJ|BsNv�j#z q�s�~0j�vJj>nJ� z{q%��j#~ �d|ª�dm�k��Bj#s}mQ�B~lsVqêo¸�Bs±tBy�vVi�j�zStbk�j�x"�'k%m#n}m#�d~ x#nJ|�sJvVm�k�x"t4�bsNvGm#�0vGs>� m#�b~±x>m#�®�Bj�~�j>sJx#n�q��Bj#~±�B|}w�tBs�q�vVq���j m��B~}�Bjfodm"vGq��0j�t�nJ~Bj#n�wBm#nVm#z�j�vJj>nJs���« �±vGi0j�x#mQsNj@t4y α �-, � m��B~�vViBj�kXt�¦��%vJj>z{w�j#nVm"v��dnJj�w0idm#suj�t�y � �u� � � � * > µ m#�d~ � ô = µ ��z�t�n�j}wBnJj"x>q%sujQk�|T�OvGi�j}sJj�x"t4�b~B�p~BjfodnJj�j±v�j#n�z�q%s Ð�j#nJt'���d�Bv{idqêo¸i�j#nV� ~�j�odnJj�j@v�j#n�z{s�~�t�j"·dq%suv � � yptBn β ��8 � � � * < µ m#�b~ � ô > . � * . m#�d~�vViBj±tBn�~0j>n@wdm#nJmQzSj"v�j#n�q%sw0t4sVq�vGq��0jB��<¸t�n γ � 8��{�B�Bt�vGi�z�tBk�j"x��Tkgm#n�m#�b~�x#n�|BsuvGm�k'yNq�j�kg~ x"tB�BsJvGm#�0vGs{mQnNj��0j�odm"vVq���jB��m±��j�odm�vGq��Bj�t4nV~�j#n�wBm#nVm#z�j"v�j#n ~0j>sux>nVq��0j>slwbnNj"x�j#sVs�q�t���t4y¥~bq%sux>�ukgq6¿�j¹z�t0kXj"x"�£k�j>s>�¼h�i�j sJvGm"vJj>s¾¦�q�vVilvGi0jr��j�odm#vVq��Bj�t�nV~�j>n¾wdm#nJmQzSj"v�j#n¾x>m#� �Bj vVn�j#m"v�j#~¹m#s vGi0j¥tBnJq�j>��vGm#vVq�t��0m�k�m#�bm�k�t#o¹t4y�vGi�j j>m�sN|B� w�kgm#��j>�6v�|dw�j�tBn�~0j>nJq%��o�q%��z{mfod�Bj"vGs>� °©s}sVi�t�¦�� q%� ��j#yf��¶QÍ���j��Bj#� ��j>nJ|¥sVz�m�kpk�x>nu|dsNvVm�k yNq�j�k%~dsSx#mQ�}sJ�B�bs�vVm#�BvVq�m�kpkX|±x>ibm#��odj@vGi�j��Bj#iBm���qgt4n�t�y�vVi�j sJ|BsJv�j#z@� <'tBn�w�tBs�q�vVq���j � ô ��vGi0j¤z{m#q%��~bq%yNypj>nuj>�0x"j�¦{q�vGivViBj�x#m#sJj�t�y � ô = µ kgq�j#sSq%�±vGi�j�yNm"x"v�vVidm"vSvViBj�t�nGqgj>��vVm#�vVq�tB�Bm�k£wdiBm#sJjSvGnJmQ�BsVq�vGqgt��0s#�dq��bsNv�j#mQ~Ñt4y�sJj#wBm#nVm"vGq%�4o�t�nJq�j#�B� vVm#vGq�tB�Bm�k k�|�t4nV~�j#nJj>~@m#�d~@~Bq%sJt4nV~�j#nJj>~@sNvGm"vJj>s�ibm"�dq���o�oBj#�B� j#nVm�k k�|�s�w�j>m�¿Bq%��or~0q%yNypj>nuj>�0v�su|dz�z�j�vVnJ|£�OsNj#wbm#n�m#vJj�z¡t�nuj m��B~¢kXj#s�s�t�nG~�j>nJj#~�sJvGm"vJj>s tBy�vGi�j�sVm#z�j¡su|Bz�z�j�vVnN|��Bh�iB�ds>� vViBj#sNj�wBibm#sNj{vGn�m��BsVq�vGq�tB�Bs�m#n�j�t�y vGi0j�tBn�~0j#n��6t�nJ~Bj#n:vJ|Bw�jB� h�i�j�zStBsNv{x>iBm�n�m"x"v�j#nVq%sNvVq�x�ypj#m"v��'nNj@t�y�vViBj�sN|dsuv�j#z¹m"v �0j�odm"vVq��Bj{�dm�kX�0j>s�t4y�vGi�j{x#n�|BsJvGm�k�yNq�j�kg~®�Vx�tBz{wBm#nJj>~�¦{q�vGi vVidm"v�m"v � ô = µ � q%s�vGibm"v�sJvGm"vJj>s�¦�qgvGi�m@��j�o'm"vGq���j{t�nJ~Bj#nwbm#n�m�zSj�vJj>n¾x#mQ�lj"·'q%sNv�mQs}vViBj#n�z�tB~�|B�dm#z{q�x#m�k k�|¬sJvGm"�'k�j sJvGm"vJj>s¡t4y�vGi�j�sJ|BsJv�j#z�m�kXt���o±¦�q�vGi±vVi�j�sJvGm"vJj>sSibm"�dq���o�m w0t4sVq�vGq��0j�t4nV~�j#n{wBm#nVm#z�j"v�j#n"��hMi�j�wBibm#sJj�vGnVm#�dsJq�vGqgt4�bsStQx#� x"�¸nJnVqX��o³q%�}vVi�j�sN|BsJv�j#z¹m"v��0j�odm"vVq��Bj�x#nN|bsNvGm�kOyNq�j�kg~bs�m#nuj vViBj vGnVm#�BsVq�vGq�tB�Bs �Bj"v�¦�j"j>� v�¦�t ~dq%yNypj#nNj#�0v t4nV~�j#nJj>~ sJvGm"vJj>s��SvGi0j¼j#m#sN|b� m"·dq6s�tBn�qgj>�0vGm"vVq�t4�bm�k�sNvGm"vJj>s¢¦�q�vViªvVi�j w0t4sVq�vGq��0jOtBn�~0j>n�wBm�n�m#z�j�vJj>n�mQ�B~ÑvGi0jOj#mQsu|��pw�kgm#��jSt�nGqgj>��vVm#� vVq�tB�Bm�k suvGm�v�j#s:¦�q�vGi η < µ �« �lwBnVq%��x#q%wbk�j0��vGi�j x>nu|�sJvVm�kg�pyNq�j�kg~ v�j#n�z x#mQ�½�dj�~�j#� ~0�Bx"j>~±yNnNtBzÅÃ��T����È � ��« v�q6s�w0nNtBw�tBnNvVq�t4�bm�kMvJt�m�wbnNtB~��Bx"v tBy{s��0x>i����¸m#��vVq�vGqgj>s@m#s ξ¢ = É0/�Ì − √ Í Ê È��:vGi�j±~Bj"�Bq%m#� vVq�tB�¯tBy¹ÉËÊ�̯yNnJt4z vViBj q�~0j>m�k i0x>w �Bm�kX�bj1� ξ � = = ��Ê�Ì − √ È:�BvViBjS~Bj"�Bq%m"vGq�tB�Ñt4y2��Ê©Ì�yNnut�z½vGi0j�q%~0j#m�k�i�x>w �dm�k��Bj�q��}vViBj@x>m#suj�tBy�vGi�j�z�tB��t�x�kgq��bq�x�~Bq6sNv�tBnuvGq�tB�T��m#�d~ ! � ( x�tBs θ * ) = ( ⁄ �'3�465 � θ * − 7 / ¶b�£¦�i0j>nuj θ* q�sSvGi�j�w�tdk%m#nm���o'kXj@t4y�vGi�j@x�j#��vVnGm�k:zStbkXj"x"�'kXj�nNj#sVw�j�x"vGqg�4j@vGi�j�É��pm"·dq%s�� ,:tB��j�tBy�vGi0j#sNj����'m#��vVq�vGq�j#s}m#nJj�¿B��t�¦�� vJt¥sN�dyNyNq�x#q�j#��v m�x�x"�dn�m�x�|±j#q�vViBj#n�yNnJt4zÇj�·bw�j>nVq%z¡j>�0v�t4n¡vGi0j�t�n�|T��hMi0m"v�q%s ¦�i0|�vGi�j�nNj#~0�Bx�j#~�x#nJ|�sJvVm�k yNq�j�kg~¢¦�qpk k��Bj{vGnuj>m�v�j#~�q%��vVi�j wbnNj#sJj>��vSsNvJ�d~B|�m#s�m�wBm#nVm#z�j"v�j#n:t�y�vGi�j"tBnN|T� 8'Z * �9��a;:g]0�<�Q\B`�`Te=��c�a;�>��eg_�\ hTtÄyNq��b~�vGi�j¡w0idm#suj¡~0q%mfo¸n�m#z t�y�vGi�j�su|�sJvJj>z½t�y�nut4vJt4nVs ~0j>sux>nVq��0j>~ �B|�vVi�j���m#z�q kXvJt4�bq%m#�¥�JÃ��T�S��� � �"�:¦�j±�dsJj>~ vViBj�sVm#z�j�x"t�z{w��BvVm"vGq�tB�Bm�k�sNx#i0j>z�j�m#s�q6� ��j#yNs"�{� µ �p�4���<£q%nVsNv��4vViBj�j>��j#nuoB|ÄsVw�j"x�vVnN�'z­tBy£vVi�j�k%q%�0j>m#n n�t�v�tBn�s�q%�{vVi�j ×ËÚ D�Ú ä�Ü'E�Ú D�ä�Ú ä GTá"Ù>Û3H"Ù#Ø�ÜËâgÔ"Ø Þ>ï ð#ð#ñQÞ�I>Õ J�C4Þ:E ç L BQñ@? yNq�j�kg~ " � � * ¦�m#s x#m�kXx"�'k%m#vJj>~T� ¦�iBj#nNj " = = − ( ��� η + ��� ) � ªj¬�bs�j#~ÆvGi�j �dm#sVqXs­tBy�sJwdi�j>nVq�x>m�k yp�d��x�vVq�tB�Bs � Õ§� q6��¦�ibq�x>i±vVi�j�¿bqX�0j"vGq�x�j#��j#nNoB|�tBw�j#n�m�v�t�n� � q%s:~bq�m"oBt4�bm�kJ�¸h�i�j��dm#sVq%s:suj�v:¦�m#s:nJj#sNvVnGqgx�vJj>~@v�t�� = � �¦�ibq�x>iM��¦�q�vViBq%�ÆvGi0j sNvJ�¸~0q�j>~ nVm#��o�j t4y "��¤j#�bsN�'nNj#s su�dyNyNq�x#q�j>��v�m"x�x"�¸nJm"x�|¾tBy�x#m�kXx"�'k%m"vGq�tB�Bs�yptBn@k�t�¦�j#n�k�j"�4j�k%s t�y£vVi�j�sJ|BsNvJj>z¤�;�}m�¿Bq%��o��dsJj:tBy'vViBjOsVw�j"x�vVnN�'z­tQ�bvGm#q%��j>~ � ¦Sj�i0m#��j�x#m�kXx"�'k%m"v�j#~±vGi0j�yNnJj�j�j#��j#nNoB| �¥m#s�m�yp�b�Bx"vGq�t�� t�y�vGi�j}t�nJ~Bj#n�wBm#nVm#z�j"v�j#n�m#�d~ tBy{vGi0j�vJj>z{w�j#nVm"v��dnJj}m#v odq���j#���Bm�kX�bj>s�tBy vGi�j{z�t0kXj"x��Tk%m#n:yNq�jQk%~�m#�d~@x#nJ|�suvGm�k�yNqgjQk%~ x"t4�bsNvVm#�BvVs � * m#�B~ � ô �MhMi�j>�±¦�j�ypt��d�0~±vGi0j�v�j#z�w�j#n�m��vJ�dnNj�~�j#w�j#�d~�j#�0x�j¾t4y@vGi0j³t�nG~�j>n±wBm#nVm#z�j"v�j#n�yNnJt4z vGi0j x"t4�b~Bq�vVq�t4�­vVidm"v�vVi�j¼yNnJj"j}j>�0j#npoB|�tByÑvGi0j³s�|Bsuv�j#z q�s�m z�q6�dq�z��dz �:1 ��Ê+1 η = µ � ���¡m"vVm�tB�ªvGi�j¼�Bm#nVq%m"vVq�t4�½t�yvVi�j�t4nV~�j#n�wBm#nVm#z�j�vJj>n�¦�q�vGi®v�j#z�w�j>nJm#v��bnNj�m#�B~³z�tBk�j"x��'� k%m#n}yNq�j�kg~ x"t��0s�vVm#��v � * m�kpkXt�¦ v�t¥nNj"x"j>q��0j¼vViBj�wBibm#sJj vVn�m#�bs�q�vVq�t4� k%q%��j�ypt�n±vGi�j¾odq��Bj#�ª�dm�k��Bj�tBy�vGi�j¼x#nJ|BsNvGm�k yNq�j�kg~@x"t��0s�vVm#�Bv:q%�@vGi�j�x�t�tBn�~bq%�Bm"v�j#s � * � ���¸h�i�j�k�t�x��bs�t�yj#���dm"vVq�tB�41 η Ê�1 � = ∞ ypt�n:~Bq%yNypj#nNj#�Bv � * q%s vGi�j�x"�dnJ��jSt�ym"�dsJt0kX�BvJj�qX�bsNvVm#�dq kgq�v�|ªt�y�vGi�j³tBn�q�j#�0vGm"vGqgt4�bm�k k�|�tBnJ~Bj#nNj#~ wBi0mQsNj0��h�i�j�k�tQx"�ds@t�y{j#�0�dm"vGq�t���� (η Â\½ ) = � (η = µ ) ypt�n~Bq6yNypj>nuj>�0v � * q%s�vViBj{x��'nN�0j�tBy:vVi�j�vGi�j>nVz�t4~0|��0mQz�q�x#m�kpkX|j#���dqpk%q��dnJq��dz vGnJmQ�BsVq�vGqgt��0s:� ηÂ\½ q%s vGi0j��Bm�kX�BjSt�y�vGi0jSt4nV~�j#nwBm#nVm#z�j�vJj>nSyptBnS¦�ibq�x>i¢vGi0j�yNnJj�j�j#��j#nuo�|¢t�y�vGi�j�tBnJ~Bj#nNj#~ wBi0mQsNjl�bj�x"t4z�j#s­j>���bm�k³v�tÅvGi0j¬yNn�j"jlj>��j>nuoB|¹t�y�vGi0j ~Bq6sNtBn�~0j>nuj>~¢wdiBm#sJj � � ��sVq���o �Bm#� Á�nJm#�Bj#�B~0t4�b¿� ês m#�dm�k�|�vGq�x#m�kÀnJj>wBnJj#� suj>�0vGm"vVq�t4�¾�"�Q��¶b�:tBy�vGi0j�s�i0t4nJvG�pn�m#��oBj��Bm�kXj#�Bx"j�wBt�v�j#�BvVqXm�k t�y���j"j�m#�d~ ��j>�B~0j#n³��¶ �b����¦�j�ibm"��j¼x#m�k�x��Tkgm"vJj>~½vGi0j zStbk�j�x"�'k%m#n�yNqgjQk%~�x"t4�bsNvVmQ��v � * m#s�m�yp�d��x"vGqgt��Ñt4y�nujQk%m"vGqg�Bjx"t4z{wBnJj>sJsVq�tB� ( * Ê ( �d¦�i�j#nJj ( * mQ�0~ ( m#nuj�vGi0j���j#mQnuj>sJv ��j#q�odi0�Bt4n�~0q%sJvGm#��x"j>s�m"v�Ðfj>nut�wBnJj>sJsJ�dnNj�m��B~�wbnNj#sVsN�dnJj !{� nuj>sVw�j"x�vVq���jQk�|T�O« v�¦�m�s�m#s�sJ�dz�j>~¾vGi0m#v{vGi0j��O»¾wBiBmQsuj�q%� sutdk%q�~l���´idm#s�vViBj³sVm#z�j³sJ�dwBw0t4sJj>~¸kX| kXt�¦�j#s�v�j#�Bj#npoB| suvGnJ�Bx"v��dnJj������#¶ ô m#s¡¦�m#s�wBnJj#~Bq�x"v�j#~}ypt4n�sutdk%q%~®� � �N¶�¶Q²¶ �d�f� <£q��dm�kpk�|£�OvJt�z�m#w vGi�j¾�O»bÎ¥vVn�mQ�0sGq�vVq�tB�­kgq6�Bj}q%��vJt !O� �ªsJwBm#x"j0�M¦�j�z��dsNv{�dsJj�vGi�j�wBnJj#s�sJ�dnNj#�6�BtBk��¸z¡j�j#���dm�� vVq�tB��t�y�sJvVm"v�j0��°SkXvVi�t���odi��0t�!"#0"Âj"·dw0j>nJq%z�j>��vVm�k¡~0m"vGm iBm"�0j��dj"j#��nNj#w�tBnNvJj>~�yptBn�sNtbkgq6~±��� m"v:vViBj#sNj�wBnuj>sVsN�'nNj#s�� q�sJtQvJt�w0q�x�~bq�yNypj>nJj#��x�j#s���m"v:kXj#mQsuv��bj�vJ¦�j"j#��� � mQ�0~�� �#� q%� vVi�j�z�j�odm#�bm#nOn�m#��oBj�m#nJj���j>nJ|�sGz�m�kpk��dh�iB�bs#�b¦�j��¸suj�vGi0j nuj�x"j>�0v�·'� nJm#|�wBnNj#sVsN�'nNj#�%�0tBk��dz�j±j#���dm#vVq�t���t�y{sJvGm"vJj�ypt�n � � m#�b~�� � z�j>m#sJ�dnJj#~��b|%�'t4�0�Bj�|bnNjSj�vOm�kJ�£�N¶'�Q�����Sq%�Bj"v yp�d��x�vVq�tB�Bm�k ypt�nVz � � °Os�j�·bw�j�x"v�j#~ �dvGi0j�wbiBm#sJj�vGnVm#�bs�q�vVq�t4��w0n�j#s�sJ�dnJj�x#m�k�x��'� k%m"v�j#~¬�b�d~�j#n¾vGi0jrm�s�sJ�dz{w�vGqgt4� t�y±Ðfj>nut x#nJ|Bs�vVm�k¤yNqgjQk%~ �d�0~Bj#nNj#sJvGq%z�m�v�j#s{vGi0j�j"·¸w�j#n�q6z�j#��vGm�kO�Bm�k��Bj��B|�m±yNm#x"v�t�n t�y:yptQ�dn��d°Os:sVi�t�¦���q%��t��¸n:sJvJ�d~B|@tBy�vVi�jÄz¡t�~�jQk�sN|BsJv�j#z odq���j#���B|�vViBjÑ��m#z�qpk�v�t��dq�m����J�#Ã��T�'��� � �O�N¶�ÍB�"�d�0j�odm"vGqg�Bj �Bm�k��dj#s�yptBn vGi0jSx>nu|�sJvVm�k�yNqgjQk%~�sViBq%ypv�vGi�j¡w0idm#sJjOvVnVm#�dsJq�vGq�t�� k%q��Bj��'w�¦�m#nJ~±v�t�ibq�odi�j#n�wdnuj>sVsu�dnJj>s>�+<£qêod�dnNj®�Q��ÌT�Ms�i0tQ¦{s m@sNj"v�tBy�vGi�j"tBnNj"vGq�x#m�k�x��'nN�0j>s�vGibm"v�odq���j�vGi0j��Bj>sJv�mfodnJj�j#� zSj#�0v�¦�q�vVi�vGi0jSj�·bw�j>nVq%z¡j>�0vGm�k£~Bm�vGmSyNnJt4z ��j>yf� �¸�0h�i�j#sJj x"�dnN�0j>s�x�t�nVnNj#sGw�t��0~}v�t}nNj#~0�Bx�j#~}x#nN|bsNvGm�kOyNq�j�kg~bs ��� / � * t y − µ � � È � − µ � � Ï � m � ~ − µ � � � � h i j v i j t n | s � x x"j�j#~bs�q6��nuj>wBnJt�~B�Bx#q%��o­vGi0j�~bq�s�vVq%��oB�'qXsViBq6��o�ypj#m#v��bnNj}t4y vViBj¢���Çw0idm#sJj�vVn�m��BsVq�vVq�tB�¾kgq6�Bj0� qJ��jB���MvVi�j���tB�Bz�t��Bt�� vJt��0q�x>qgv�|³t�y�vVi�j�x"�dnN�0j¤m��B~�m�x"t4nVnuj�x"v�w�tBs�q�vVq�t4�¾tBySvVi�j z{q%�Bq%z��dz¤�½h�i0jºsJvJj�j#w�j#n¹vJj>z{w�j#nVm"v��dnJj´~Bj#w�j#�B~Bj#��x"j x#idm#nVm"x"v�j#n�q%sJvVq�x�tBy'vGi0jOj"·dw�j#nVq%zSj#�BvVm�k¸~Bm"vVmSq%s�wBnVq��Bx#q%wBm�kpk�| ~0�Bj�v�t}vVi�j�j>yNypj"x�v{tBySt4nVq�j#�BvVm"vGq�t��dm�k:x"t�nJnJjQk%m"vGq�t��ds>��m#�d~ q%�}w0mQnNv�v�t�vVi�j���j#q%sNj#�0�Bj>n o¸�ukgq�¿0j�v�j#nGz�q��±vViBj������u��� q%�0v�j#n�z�tBk�j"x��Tkgm#n�w�t�v�j#��vGq6m�kMt�z�q�vJv�j#~�q���vGibq%s�sNv��b~B|T� « �@vGi�j¡w0n�j#sNj#�0v©wBm#w0j#n�¦�jSx"t4�bs�q%~0j#n�vViBjSx#nN|BsJvGm�k£yNq�j�kg~ m�sOm�wbm#n�mQz¡j�vJj>nSq���vVi�j{vGi�j"tBnN|��¸m��B~�vViB�ds�vGi0jÄ���Bj>sJvVq�tB� j"·¸q6sNvGs:m�s�v�t�vViBjS�dm�k��Bj�m#�b~@vGi0j¡sVqêo¸�@t4y vGi0q%s:wBm#nVm#z�j"v�j#n nJj#���dq%nJj#~�v�t odm#q%�¹mfo'nNj"j>z�j>��v��Bj"v�¦�j�j#��vVi�j�tBnu|¹m#�d~ j"·¸w�j>nVq�z�j#�0v#�Q°Os�yptbkpkXt�¦�s�yNnJt4z½vGi�jSm#�Bm�k�|Bs�q%s�tBy à �T�B��È � � vViBj��0j�odm"vGqg�4j{s�q�od�@t4y vGi�jSx#nJ|�sJvVm�k�yNqgjQk%~�q%s:~�j>yNq%�0q�v�j0�dm#�d~ vViBj��Bm�kX�Bj#s�odq��Bj#��m"�Bt��4j¢x�tBn�nJj#s�w�tB�B~�v�t}vGi�j��dm�k��Bj�t4y ξ ¢ = ÉVÊ©Ì − √ Í�Ê�È���vViBjl~Bj"�Bq%m"vGq�tB�Çt4y�ÉËÊ�Ì�yNnNtBz vVi�j q%~0j#m�k¤i�x#w ��m�k��bjB��¦�idq�x#il¦�m#s�ypt��d�d~ q%�lvGi0j�nJj"x�j#��v ·'� nJm#|}idqêo¸i0� wBnJj#s�sJ�dnJj�suv��'~�|��N¶��>�"��° ~0j�vVm#qpkXj#~}mQ�0m�kX|dsJq%s ����¦0�å¯ Ã1ü�½\Æ�Ä�¾�¿êà�Å�¸�ù\¾�ÂN½O¸g¿�ù_¹ Â_¹ Æ�¿Jº§¹ ¿�¾�¹�¿;ù\Æ�º§¹ ñÄ� �rÃ1ý£ï�·xú�Æ�º�ùg» ¾�� ¶ à�¾�½_¹�·x¾�¿�ÂÒ¸�º ñ�¸�Â\¸`ú�ï ó�Æ�ù\Å�¸�½Nï�ö��«Å�¾g¿]ö�¸g¿�ñ ý�¹�º�Ç�¾g½\¸��Òõ���ÃÁý�Æ�º§¹ ñ â�È�½\Ç�¾gù�»«à�½\¾�ù\¾g¿�ÂoÂNÅ�¾�Æ�½Nï�Ãb�˹�¼N¼�¾�½O¾�¿�ÂËâ�È�½�Ç�¾�ùo¸�½\¾Áº�¸gú�¾gº�º§¾�ñêú�ïPÇ�¸�º�È�¾�ùÆ�¼«Â�Å�¾x½\¾gñ�È�â�¾gñrâ�½�ï�ù\Â\¸�º«¼N¹ ¾gº�ñ�û � ÿ�Ã'óܾ�º�Â_¹ ¿�ðoâ�È�½\Ç�¾Ë¹ ¿ � �x¾ û Ð ÿgà BQñ6B ×ËÚ DVÚ äËÜFEBÚ D�äVÚ ä/G£á"Ù#Û+H"Ù#Ø�ÜVâgÔ"ØpÞ"ï ð"ðQñ�Þ$I�Õ JKC�Þ/E ç7L t y v i q s w t q � v ¦ q k k � j o q � j � j k s j ¦ i j n j � � j n j@¦�j�¦�t��£k%~¾k%q%¿�j�v�t�w0t4q6��v�t��Bv{vGiBm"v{vGi�j�~Bj#ypt4nVz{m"vGq�t�� t�y:vGi�j�kgm"vJvGq�x"j�vGiBm�v:o¸q��Bj#sSnVqXsJj�vJt�vVi�j��0j�odm"vGqg�4j�x#nJ|BsNvGm�k yNq�j�kg~Åm#s³mªnJj#s�w�tB�BsJj­t4y±vGi�j¥k%m"v�vVq�x�j­v�t vGi�jªm#wBwbk%q�j#~ wBnuj>sVsu�¸nujÄq%s�q%��m"x"x�tBnJ~�¦�q�vVi�vGi0jSodj#��j#nGm�k3�'j>� �©i0m"v�j�kgq�j#nV� ��nVm"�d��wbn�q%��x#q%wbk�j0� °Os¡t���j�x#m#�³suj�j0�MvViBj¢�O»BέvGnJm#�dsJq�vGq�t���k%q%��j�q%�}sJtBk%q%~ ���¯q%s³sVq�z{qpkgm#n®v�tlvGi�j ! # �Æz�j�k�vGq%��o¬x"�dnJ��j�t�y ( ��j �K<£q�o������ � � �£«pvOq%s:j#sNvVm"�£k%q�sGi�j>~�vViBm"v:vGi0j�wdnuj>sJj#��x"j�t4y vGi0j z�q6�dq�z��dz¹q%�±vViBj ( ��j�z�jQk�vGq%�4o�x"�dnJ��j�sJv�j#z�s{yNnNtBzÅvGi0j yNm"x"vOvViBm"vOvViBj�j#�0vGnNtBw�|�tBy vGi0jÄsutdk%q�~�w0iBmQsuj�j"·Bx"j�j#~ds�vGi0j j#��vGnJt�w�|�t�y@vGi�j�k%q%���'q�~ªm"v}kXt�¦ vJj>z{w�j#n�m�v��dnuj>s��O¦�i�j#nJj vVi�j�vViBj#n�z{m�k©wBnJt�wBj#nNvVq�j>s¡t�y�vVi�j�x"tB�B~Bj#�BsJj#~}wBidm#sJj#s�m#nJj ~�tBz�q6�dm"vJj>~ �B| sJwdq��Åwdnut�w�j>nuvGq�j#s�� �£q%���bq%~ ( ��j�t��Bj"|Bs <'j#n�z{q�sJvGm"vGq6sNvGqgx>s��:¦�q�vGi vGi0j±j>�0vGnut�w�|�wBnJt4w0t4nJvGq�tB�Bm�k�vJt vVi�j�v�j#z{w�j>nVm"vJ�dnJjB� 8��¤vGi�j�t�vVi�j>n�iBmQ�0~��dvVi�j�j#�BvVnNtBw�|@t�y sutdk%q�~ ( ��j¼q6s�vGibm"v�t4y@¦�j#m#¿bk�|rq6��v�j#nVm"x�vVq%��o¥sGw0q%� ��-�¶ ���0xQk�j>q ��vGibm"v�q%s��SvGi�j�j#��vGnJt4w�|ªt4y�sutdk%q�~ ( ��j�q�s�q%�0~Bj#� w�j#�B~0j>��v�t4yÑv�j#z�w�j#nVm"v��dnJj³m#�b~­j>���dm�kgs¤v�t ( k%�B¶­� <£q�o�� ¶���Ì � �b«���vGi0q%s�vJj>z{w�j#nVm"v��dnJj�nJjfodq�t4� �4vViBj�j>��vVnJt4w0|�x"tB��vGnVq�� �b�BvGqgt4��vJt�vVi�j�yNnJj"jOj#�Bj#npoB|�q%s mQ��mQ~0~dq�vGqgt��0m�k¸yNm#x"v�t�n�vViBm"v sJvGm"�bqpkgqgÐ�j>s�vGi�j�sNtbk%q�~�wdi0m#s�j0� ° sJq%z�q kgm#n�sJq�v��bm#vGq�tB�ÅtQx"x"�¸nJs�q%� vGi0jªx>m#sJjªtBy}vVi�j sJ|BsJv�j#z¹tBy�nJt�v�tBn�s���h�iBj�z¡tdk�j"x��'k%m#n�yNq�j�kg~¼o0qg�4j#s�m±~Bt��d� �TkXj"vG�ps�ibm#w�jSo'nNt��d�B~�sJvVm"v�j�tBy vGi�j�sJ|BsNvJj>z �dvVidq�sOw0n�t��dq�~Bj#s m���j�·bvGnJm�x"t4�0vGnJq��B�bvGq�tB��vJt�vGi0j{j>�0vGnut�w�|�tBy�vViBj{t4nV~�j#nJj>~ wbiBm#sJjB��¦�ibq�x>i�q%s{j#���dm�k:v�t ( kg�0¶'��°Os{m�nuj>sJ�'k�v#��q%�¾vVi�jk�t�¦��%vJj>z�wBj#n�m"vJ�¸nuj¤nuj�odq�tB�±vViBj@j>�0vGnut�w�|�tBy�vGi0j�t�nGqgj>��vVm#� vVq�tB�Bm�k k�|¥t�nV~�j>nJj#~lwBiBmQsuj�q%s¾kgm#nuoBj#n�vVidm#� vGi0m"v�tBy�vVi�j ~bq%sNtBnJ~Bj#nNj#~³wBibm#sJj�� <£q�o�� ¶�� � � �©»�q%z�q kgm#n�v�t±vGi�j�x#m#sJj�t4y ( ��j0�MvVidq6s�q%s�m��}m#~d~BqgvGq�t��dm�k:yNm"x�vJt�n¡vGibm"v�sJvGm"�dqpk%q�ÐVj#s�vVi�j tBn�~0j#nNj#~}wBidm#sujB�£°:�0t4��j�vVi�j�w�tBq%��vSt4y�q%��vJj>nVsNj"x"vGq�tB�T�£vVi�j sVq�vJ�dm"vGq�t��±�Bj"x�tBzSj#s�����tBn�z{m�k���m#�b~�vViBj{j#�BvVnNtBw�|�yNm"x"v�tBn sJvGm"�bqpkgqgÐ�j>s�vGi�j�~Bq%sutBn�~0j>nuj>~�wbiBm#sJj0� �'Z��O_�\dc9:%a �"eg_�\�� h�i�j��bnNtB¿�j#�¬sJ|�z{zSj"vGnJ| wbiBm#sJj�vVnGm#�0sGqgvGq�tB�Åkgq��0j�q%� sJtBk%q%~Ç���Àidm#s¾�Bj"j#� sVi�t�¦�� v�tl�BjªmQ� j�·bm#z�wbk�jªt4y �0�dm#�0v��dzlt�nVq�j>��vGm"vGqgt��0m�k zSj�k�vGq%��o��¸h�i�j��b���¸su�dm�kT�Bj>ibm"�B� q�tBn�tBySvGi�j�wBibm#sJj�vGn�m#�bs�qgvGq�t���k%q%��j±��qu�,jB�p��q�vVs&!"#$�ªz�q%�bq�� z��dz � q�s{m@x�t��dsuj>���bj#��x�j@t4y�vGi0j�sJ|Bz�z�j�vVnN|}wBnJt4w0j>nuvGq�j#s tBy±vGi�jrsJ|BsJv�j#z@�Ñ�bm#z�jQk�|T�ÄvViBjªyNm"x�v¾vGiBm�v¼q��Ç��� m�kpk nJtQvVm#vVq�tB�Bm�k�sNvVm"v�j#s�m#�b~¾vGn�m��BsVq�vGq�tB�Bs{�bj�vJ¦Sj�j#��vGi�j>z m#nuj m�k k�tQ¦�j#~T��q��lx�tB��vVnVm#sNv³vJt¥iBt�z�tB���0xQk�j>m�n}q%sJtQvJt�w�j>s�� � m��B~�� � ��h�i�jSsJ|�sJvJj>z�m�vGq�xS�d�B~0j>nuj>sJvVq%z�m#vVq�t��Ñt4yTvGi0jOvVnVm#�B� sVq�vVq�tB��w0n�j#s�sJ�dnJj�x#ibm#nGm"x"v�j#n�q6s�vVq�x�tBy{m�kpkOvGi0j�t�nVq�j>sÑt4y{vVi�j �O»bÎ¥vVnVm#�BsVq�vGq�tB��x#m#� �Bj�nJj#z�t��Bj#~�q%y{x#n�|BsJvGm�k%�pyNq�jQk%~�j#yN� ypj"x�vVs�m#nuj�vVm#¿Bj#�}q%��vJt�m#x"x�t��d�0v#��«Nv�¦�mQs�su�Bo�oBj#s�vJj>~±vViBm"v vViBj�j#yNypj�x"vStBy:tBn�q�j#��vVm#vGq�tB�Bm�k�x�t�nGnujQk%m#vVq�t��0s#�Mm#�b~±sGw�j�x#q%yNq�� x#m�kpkX|�yptBn������BvGi�j���j>q6sNj#�B�Bj#npo'�Nk%q�¿BjSv�j#n�zlq%�@vVi�j�q��BvJj>nJ� z�tbkXj"x���kgm#n�w0tQvJj>�0vGq�m�k��4sVi�t��'k%~{�dj:vVm#¿Bj#��q��BvJt�m"x"x�t��d��v v�t t��BvVm#q%�����¸m#��vGq�vVm"vGq��Bj�mfo¸nuj�j#z�j>��v��0j�vJ¦�j�j#�¾vGi�j"tBnN|�m#�d~ j"·¸w�j>nVq�z�j#�0v#� ��c �B\b_� :=��` ��� �#\B]>� h�iBq%sOnJj#sNj#m#nJx>i�¦{m#sOsJ�dwBw0t4nJv�j#~��B|�vViBj',�»�<����>����� ����¶�Ï µ � µ � ��h�i�j�m"�BvGi0t4nVs{~�j>~bq�x>m�v�j@vGibqXs�¦�tBn�¿®v�t¾ÎMnNtByf��S���MÁOmfo¸m#�¤t4��vViBj�t�x"x>m#sVq�tB��t4y:i0q%s � µ vGi��bq%nNvVid~Bm"| � ô�Ã��ËÃ���Ã�óܸ�¿���Å�¾�º�¹�¹.¸g¿�ñDó-Ãb �Ã!ý�Â\½��_Å�¾�·x¾�âgÅ�¿�ï�ö!¹�¿'» �� �¡��Ñ��¢O�r���é1�N¡��g¢g��¡��g����Õ � ö��ËÃ��xÃ1ó�¸�¿��OÅ�¾gº§¹�¹�¸g¿�ñ��!È�Ã� �Ã���½O¾g¹ ·�¸�¿Dû\¾�ñ�ùgÃ�ÿ�ö ���þPþ]½O¾�ù\ùgö! MÆ�Æ�ñ�ú�È�½\ï'ö#"1¾�á$�!Æ�½�Ä�û�ô�õ�õ�)�ÿ�Ã� Ã&%0Ã!Ç�¸�¿�+!½\¸�¿�¾�¿�ñ�Æ�¿�Ä'ö Ó���Õ���¤ ëË¡�¤�����¦��g� ö�þ�º�¾g¿�È�·6þ]½_¾�ù\ù�ö�"1¾�á �!Æ�½_Är¸�¿�ñ(']Æ�¿�ñ�Æ�¿�û�ôOõ�÷ � ÿ�Ã(�Ã#%�Ã'ü�¹ ð�¾gº�¾g¹�ù\¾�¿�ö*) ��é1 ����.���! �¡�����+*, ö#)�-�õ�û�ô�õ�-V(�ÿ�à .�Ã# xÃ/��Ã]þ�½\Æ�Ä�Å�Ç�¸�Â_¹�º�Æ�Ç'ö�óêÃ# �Ã]ý�ÂÒ½0�OÅ�¾�·x¾�â�Å�¿�ï�ö±¸g¿�ñ���Ã1"�Ã'ý�Å�â�Å�¾�½\¶ú�¸�Ä�Æ�Ç'ö �«���^�]�����0�±�� �¡��Ñ��23, ö4.5.76�ûgô�õ�õ�(�ÿ�à 6�Ã'óeÃ� xÃ�ý�Â\½8�OÅ�¾�·x¾�â�Å�¿�ï�ö �«���H�'�g���0�]�� �¡��Ñ� � �ö�õ � ûgô�õ�õ�-�ÿ�à -�Ã9%0Ã'��ëò�¸�¹ âgÅ;¸�¿�ñêòxÃB�rëµ�Â\Â\¾�½�ùgö/) �����£�K�]�g���0���� �¡��Ñ� ��ö �G� õû�ô�õ�) � ÿ�Ã)�Ã���Ã���Ã1ý�¹�º�Ç�¾�½\¸�¸�¿�ñPòxÃ9%0Ã� ¹ ß\¿�ð�¸�¸�½�ñ�¾�¿�ö]�� £¡��Ñ��Ô��g­����«���\�Ò��:���ö(�õÜû�ôOõ�÷�ô�ÿgÃ÷�ã� Ã�µ�Ã�']Æ�½\¾�¿#�_¸�¿�¸�ö���Ã;��Ã�ý�¹�º�Ç�¾�½\¸�ö!¸�¿�ñ�+ËÃb xÃ<��Æ�¾�Â\Â�¾gº\ö��� �¡��Ñ�Ô��g­��]�1���\�N� �*:'ö�ô�õV(�õ�û�ôOõ�õ�*�ÿgà ����¦0��Ý Ã«µ*¿�Â\½�Æ�à�¹ ¾�ùËÆ�¼xº�¹ê��È0¹ ñê¸g¿�ñ;ù\Æ�º�¹ ñ � �x¾ û � ÿ)¸g¿�ñ;Æ�½_ñ�¾�½\¾�ñê¸g¿�ñ ñ0¹ ù\Æ�½\ñ�¾�½�¾�ñ�à�Å�¸gù\¾�ù1Æ�¼�ù\Æ�º�¹�ñO���Kû Ð ÿ ×ËÚ D�Ú ä�Ü'E�Ú D�ä�Ú ä GTá"Ù>Û3H"Ù#Ø�ÜËâgÔ"Ø Þ>ï ð#ð#ñQÞ�I>Õ J�C4Þ:E ç L BQñ L õ'Ã���Ã�ó�Æ�ù\Å�¸g½�ï'ö<"�Ã��rà �«Å�¾�¿�ö.¸g¿�ñ ��à �«ÃËý�¹�º�Ç�¾�½\¸�ö.�� �¡��Ñ��Ô��g­���«���\�Ò� � 2 ö#(�÷'ô0.�û�ô_õ�õG(±ÿ�ÃôN*�à �!È�Ã� xà �]½\¾�¹ ·�¸�¿�ö �oà �ËÃ�ý�È�·x¸g½�Æ�Ä�Æ�Ç'ö� xÃ�þ�Ã�ü«½\Æ�ñ�ï�¸g¿�ù\Ä�¹�¹Nö�¸g¿�ñ �Ã#%�¾ �OÆ�á.ù\Ä�¹Nö�) �±�� �¡��Ñ� � é«����¤������Ñ���D���\�����_� + ö�(�÷7656Üû�ôOõ�õ�ô�ÿ�Ãô�ô�Ã� �Ã�þ!Ã�ü«½�Æ�ñ�ï�¸�¿�ù\Ä�¹�¹Nö��Ëà �Ëëý�È�·x¸g½\Æ�Ä�Æ�Ç'ö �!È�Ã� �Ã��]½\¾g¹ ·x¸�¿'ö�¸g¿�ñ �Ã#%�¾ �OÆ�á.ù\Ä�¹Nö �����=�±�����0�]�� �¡��Ñ��2 , ö#(�-�÷Üû�ôOõ�õV(�ÿgÃô � ã��Æ�¶§Ä�á.¸g¿�ðDó�¸gÆê¸�¿�ñ^òxÃ�%±ÃT�x¾�·Ëº�¾�ï'ö�Ô���­����J��¤'�.�� �¡��Ñ� ����ö -V)�ôËûgô�õ�õ7.�ÿ�Ãôp('Ã�òxà %�Ã'�x¾�·Ëº�¾�ï'öb xÃ���Ã<�1Æ�¿�â�Å�¸g½OÆ�Ç'ö'�rÃd+#Ã!ó�¸�Æ�ö!µ�ø+�¸g½\·xÆ�¿]ö¸g¿�ñ %0ÃQ� Ã0µ*ð�ð�¾�½\Âgö7) �]�«���^�]�����0�±�� �¡��Ñ��2*2 ��öQ) 6�ûgô�õ�õ�÷�ÿ�Ãô0.'Ã4"�ÃB�rÃb�«Å�¾�¿'ö«µ!ëý�Â\¾�½O¾�½gö�¸g¿�ñ ��à ��ëý�¹�º�Ç�¾�½O¸�ö �� �¡��Ñ��Ô���­����«���\�Ò��J�'ö�ô -*-V(�û�ôOõ�õ�-�ÿgÃô06'Ã! `Ã'µ�¿�ð�º�¸�¿�ñ�ö#%'Ã���Ã'ò�¸�¹ â�Å�ö]¸g¿�ñÁò.Ã��oÃ�µ]Â\Â\¾�½\ù�ö�) �*�«�����«�]�g���'��� �¡��Ñ�� � �ö � ôN(Üû�ôOõ�)*-�ÿgÃô3-�à %0Ã���¾�º�ù\Â\¾g¹ ¿�¾�½`¸g¿�ñ���à �]½_¹�¾�ñ�·x¸g¿�ö �� £¡��Ñ�JÔ��g­���� ��ö�(�õ�õ�-ûgô�õ�)V(�ÿ�ÃôN)�Ã;��ã �Ç�¹ ½\¸�·åöxý�Ã��!Æ�ù\Å�¾�¿�ö!¸�¿�ñ=ò.Ã�ø]Å0¹ ¾�ú�¾g½�ð�¾�½gö�) �x�«��� �]�g���'��� �¡��Ñ��+ �0öb(�)�ô�û�ôOõ�÷�*�ÿ �ÒÐ��§¤'� .V('ö 6�.�õ-û�ôOõ�÷�ô�ÿ� �ÒÐ��§¤'� 6 � öB(�õ�)ûgô�õ�÷�(�ÿ� ê�ÒÐ���¤1à 6*6'ö�(*.�õ û�ô�õ�÷7.�ÿ� ��� £¡��Ñ�e�«�����Ò���V�� Ëö�.'ôN*ûgô�õ�÷ � ÿ� �) �«é1 ��g������ �¡��Ñ� ����ö!6V(�(�)rû�ô�õ�÷�.�ÿ�ÃôO÷'Ã� �ñ ''¸�ð�¾�¿�ñ�¹ ß\ÄK¸g¿�ñ ��à ��Ãrý�¹�º�Ç�¾�½O¸�ö#�� �¡��Ñ�������\�Ò�S�*:� �ö � ÷ûgô�õ�÷'ô�ÿ�à ô�õ�Ã�óêÃÁý�à�½O¹ Ä ¸�¿�ñ óeÃ('�ÃO+�º§¾g¹ ¿�ö ) �eé1 ��g��� �� �¡��Ñ�S� 2 ö(- � *f)û�ô�õ�÷�.�ÿ�Ã� *�Ã� `Ã!ü�Ã�%�Ã�óêÃ�%�¸�¿�ù�ù\¾g¿-¸�¿�ñ� xÃ�Ç�¸g¿-ñ�¾�½: 1Ç�Æ£¹ ½�ñ�ö��! �¡����!Ô���­�� � :V 'ö�÷�(�÷�û�ô�õ�õ�*�ÿ�Ã� ô�ëþ�à ']Æ�È�ú�¾Oï�½\¾�ö«òxà '±¾gø'Æ�È�º�º§¾�â�öB�rÃB�x¸�È�ù�¾�½\·x¸g¿�¿�ö«ó-Ã��x¸�¿0¼Nº�¸�¿�ñ�öòxà %0ÃB�x¾�·Ëº§¾Oï�ö��rÃB+ËÃ�ó�¸�Æ'ö'¸�¿�ñ '«Ã� dÃ���¹ ¿�ð�¾�½gö ìo��������� + � + ö)�* � û�ô�õ�õ�-�ÿ�Ã��� Ã��rÃ&"1¸�ð�¸g½\¸-¸�¿�ñ ø�Ã<"1¸gÄ�¸g·xÈ�½\¸�ö.�� �¡��Ñ��Ô���­��Ë�����\�Ò� ����ö � . -£÷û�ô�õ�õ � ÿ�Ã� (�Ã��rÃ��«Å�¸�â�Å�¸g·rö;'�Ã�ó-Ã<�'¸�ºN¹ Ä�Æ�Ç'ö!¸�¿�ñ ü�ÃT+!Æ�¹�º§º�¾g½�ö�þ�Å�ï�ù�Ã�ò�¾�Ç'à � !V�'ö#)�ôOõ�6�û�ôOõ�õ*.�ÿgÃ� .�Ãb+ËÃ�"�¸gð�¸�Æ0öb�rÃ�"�¸gð�¸�½_¸�ö«¸g¿�ñPý�Ã�ó�¸�ÂNù\È�ú�¸�½\¸�ö]�� �¡��Ñ��Ô���­�� � !���ö��� õ�6Üû�ôOõ�õ�)�ÿgÃ� 6�Ã�ó-Ã�þ1Ã�ý�È�½\Å�ö�+ËÃ#%'Ã'ò�È�¿�ð�¾�ö�ø!Ã! dÃ�ü«¸�½\ú�¾�¾ �8�8��ö'µ!Ã�'«Ã�þ]Æ£ºNº�Æ�â�Ä�ö¸�¿�ñ��!Ã'ó�¸�¹�º�Å�¹ Æ�Â�ö �� £¡��Ñ�]Ô���­���� !G!]ö«ô�ôN(V(�*rûgô�õ�õ")�ÿ�Ã� -�Ã9%0Ãd+�Æ�Å�¸�¿�Æ�¼N¼Oö1ý]Ã1ý�âg¸g¿�ñ�Æ�º�Æ�ö���Ã�'«Ã���Å�¹ ¸�½\Æ�Â\Â_¹Nö�¸�¿�ñPµ!Ã�ø�Æ�ù\¸�Â\Â_¹Nö�� �¡��Ñ�]Ô���­����«���\�Ò� �V��ö � )�÷V(�û�ô�õ�õ�)�ÿ�Ã� )�Ãb xÃ���Ã��!Æ�¿�â�Å�¸g½�Æ�Ç'ö1òxÃ�%�ø��¾�·�º�¾Oï�ö'�rÃd+#Ã!ó�¸�Æ�ö«¸�¿�ñ %'Ã1ý�Å�È�ö�� �¡��Ñ�]Ô���­����«���\�Ò������ö«ôN*�ô#û�ôOõ�õ�÷�ÿgÃ� ÷�à ��È�Ã� xà �]½\¾�¹ ·x¸g¿�örý�Ã)ø'½O¾�ÂNï�¸�Ä]ör¸g¿�ñ� xà %�¾3�_Æ�á�ù�Ä0¹Nö ) ��������]���������� �¡����.¯�¯Ñ°�ö«ô3.�)rû�ôOõ�õ�÷�ÿ�Ã� õ�à ��Ã��rÃËò�¾�¾ê¸�¿�ñ}��à ��Ã�ü�¾�¿�ñ�¾�½gö�) �Üé1 ����.�#�� �¡��Ñ� � 2 ö�6f( - �û�ô�õ�)�õ�ÿ�à BQñ�ñ ×ËÚ DVÚ äËÜFEBÚ D�äVÚ ä/G£á"Ù#Û+H"Ù#Ø�ÜVâgÔ"ØpÞ"ï ð"ðQñ�Þ$I�Õ JKC�Þ/E ç7L