universidade federal de minas gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#"...

91

Upload: others

Post on 17-Oct-2020

0 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

������������� ���������� ��������������

����� �"!�#%$'&(#*),+.-0/#21�#�34+.$65,#%-��25,$67��85

9;: +.-'<6+=1�#�>,?.?A@

Page 2: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

���������� ����� ��� ��� �������������

����� �"!�#%$'&(#*),+.-0/#21�#�34+.$65,#%-��25,$67��85

�����! #"%$'&)(+*,�.-�/0�1*325476,&389 .�1:�*)"<;=&3>@?BAB*,�1:C$ED� F&3G�(B&IHJ�!GLKM&

N � -6-'#%$ < 5PO7RQ5,+ 5RS�$6#�-6#%T < 5,1 5U5WV<XZY'[]\_^<`aY N 9 N \�bc\ N \_^ 9]d N \3�YeX 9 ` �f\_^ 9 Y#`Pg 7�+.&(+�$6#,h ��� -'�"< +WS 5,$'7%�85 �iS 5,$ 5(5(+kj < #%T�O79Q5,+(1�+: $ 5,� 1�#�3�\l`amn^o\p\�3qb /Y#`aY#r 9ts

9;: +.-'<6+=1�#�>,?.?A@

Page 3: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

������������ �� ��������

34#��4&(5,�"+.$ 5 : $65,1�#�7%� &�#%T <6+ /# 5 N #%��-,g7S +,� -o\ � #*< #�& &(#�1�5,1�+�- 5 /��1�#2# 5,�"# : $'�85 s \ �"#2<6#%&

&(#�+,$6� #,T < 5,1�+=#2&�#�#%T�-'� T 5,1A+(&��A�"< + s�� j�$6� : 5,1�+�` #,T�!�+.$;),#�-6��- s

9;: $ 5,1A#aO7%+ &����"<6+ U5(&(� T�! 5�h0�A#%$6�"1 5��� -'#%� �"#�S #�� + 59S +,� + g0S #%�85�7%+.&�S�$'#%#%TA-%Q5,+�#Rg S�$'� T�7�� S 5 ���&(#,TA< #Rg S #�� +�7%5,$6� T�!�+2# 5,&�+.$ h ��# #%� 5�< #��.# 7%+.&�� : +�1���$ 5RT <6# +.-/���"<6� &�+.- 59T�+.- s �2��g��.+07��#�/# &��A�"< +

#%-.S #�7%�85 �iS 5,$ 5 &�� & s

9;: $ 5,1A#aO7%+�1�#�& 5,�"-tU5�&�� TA! 5�� 5,&4/ � � 5�g�S�$6� T�7%� S 5,� &�#%T < #�5,+,- &�#%�A-oS�5,� -,g7h0�A#�-'#%&�S�$6# � T�7�#%T!�< ���,5 $ 5,& &(#���- #%- < ��1�+,- s"� jA$6� : 5,1�+ S +.$�< #�$6#%& &�#�1 5,1A+�7�+kT�1��#O79Q+.#�-;1A# 7 !A# : 5,$ 5 < /#259h ��� s

9;: $ 5,1A#aO7%+=&��A�"< +�5,+().5$# #%$'-6+kT S #%�85�+,$6� #,T < 5PO7RQ5,+=#�5 &(�&% 5,1�# s ).5$# #%$'-6+kT g'� 5,�"#%� 1�#�& 5,�"-)(

34#�� &���� < +=+kj�$'� : 5 1�+ U5 r $6�"-'< � T 5�j�� j��"� +,<6#%7 /5,$6� 5tS #�� +�7%+kTA-'< 5RT <6#�� +.$.T�#%7�� &�#%T < +�1�#�5 $'< � : +.-

7%+.& �A< s

9;: $ 5,1A#aO7%+�< 5,& j /#%& 5,+ 9 T�1�#�$6-6+9T#�5,+�* � -6&(5,$,+ S #�� + �A-6+ 1�+�-67 5RT T�#%$ 1A+ d 59j +.$ 5 < /+.$6�"+�1A#

` � & ���85PO7RQ5,+ s

��� 5,� < #%$,g ��� -'#%�"� #9g.- 5 �1g 3 Q5 #9gEr $'� -'<6� T 5ag0/25�/ h ��#Rg 9 T : #%� 5 # d #%+kT�#��1g &����"<6+�+kj�$'� : 5 1�+ S #%� 5

7%+.$'$6# O79Q5,+�1�+=& 5RT0�A-67%$'�"<6+ s

9 + r@X1-=h g 5 : $ 5,1�# O7%+�+�59S +,� +�27T 5RT�7%#�� $6+ s

Page 4: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

9 N #%�A-%g U5(�2�"-6#%�"� #;#�U5 &�� T�!�5 � 5 & / � �85

Page 5: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

����������

������ � �

��(����������

� ��������=�� ������4� �@ s @ 9 � +,&(# < $6� 5 s sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s @

@ s > 9 � : � T�-IS�$'+kj�� #�& 5 - 1�#2#%-67%5,�85 s sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >

@ s�� 9 -6� &�� � 5,$6�"1 5,1�# : #�+.& /# < $'� 7 5 sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s �@ s��as @ V < � �"� %%59T�1�+ 5 -'� &�� �85 $6� 1�5,1�# : #%+.& /#�<6$6�"7 5�#%& SA$6+kj��"#%&(5,-�1�#2#�-67 5 �85 sfsfs s �

@ s�� 9 d #�� 1�# /�� #%� j #�$ sfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s �@ s! 9 5,� +.&�#�<6$6� 5 1�+.- +.-'-6+.- # 5��"+ 7�+.&�+ O79Q5,+ s s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s "

# � � ������ ����%$ �����'& �����$(� � ���*)+ �����-, �.�� � �/� �������

�(�4� ������� ������ 0��������� �4�1�4� �������������� 2> s @ 9 - -6� S +.-'�.O79Q+,#%- � � T�1 5 &(#,T < 5,� - s sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s 3> s > � &�+ 1�#�� + s sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s @ ?

> s > s @ N # < #%$'&(� T 5PO7RQ5,+ 1�#�45�#�1 5 � 5�%RQ5,+ s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s @ ?

> s > s > 34� T�� &�� %%5PO79Q5 +�1 5 � &�S #�1 �59T�7��85�!��"1�$6+01�� T �5,&�� 7 5 sfs sfsfs s sfs sfs sfsfs s @�>

> s > s�� ^ #%� 5PO79Q5,+ 1A+(#76�S +0#%T < #98(7�+.&-:_g;4 #=< s sfsfs sfs sfsfs s sfs sfs sfsfs s @ �> s�� ^ #�-6��� < 5,1�+,- 1�+(&�+01�#%�"+ sfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s @?>

> s��as @ � #@6aS +0#%T <6#A8 1�5 < 5B6A5�&�#�< 59j /+.�"� 7%5 sfs sfsfs sfs sfsfs s sfs sfs sfsfs s @?>> s��as > r +.&�S 5,$65PO79Q5 +4#,T <6$6#�+,- #@6aS + #,T < #%-�5,� +.& /#�<6$6�"7%+.- S�$'# �0� - < +.-�# +.- � 5,� +.$'#%-

#76�S #%$'� &�#%TA< 5,� - sfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s @ �> s��as�� r +kTA-6� 1A#%$ 5 O79Q+.#�-�27T�5,� - -'+kj�$6#2+=&�+ 1�#�� + s sfsfs sfs sfsfs s sfs sfs sfsfs s @ 3

C � �� �=� ���9����� � � � ��� � ��� #ED��s @ Y T <6$6+01�� O7RQ5,+ sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > ?

��s > m #,T�-%Q+.#�-ZTA+.- +.-6-'+.- sfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >0@

Page 6: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

��s�� ` � &�� � 5,$6�"1 5,1�# #%� /5,-'<6� 7%5 sfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > ���s��as @ ` ��S +.$ < #2#@6aS #%$'� &�#%T < 5,� S 5,$ 5=5=-6�"&(�"�85,$'� 1 5,1A#;#���/5,- < � 7%5 s s sfs sfs sfsfs s > �

��s�� � -nT�+ �,+.- 1 5,1�+.- #76�S #%$'� &�#%T < 5 � - sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > ��s! 9 T��"& 5,�"- S #%h ��#,T�+.- 6 59T�� &(5,�"- : $659T�1�#�- s s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > ���s > 9 7%+kT�#76PQ5,+ #,T <6$6# 5=5,� +,&(# < $6� 5 1�+.- +.-'-6+.- #25�5,� +.&�#�<6$6� 5�1 5�/5,$6#%5 &���-67����85 $ sfs s � ?��s!� 9 � +,&(# < $6� 5 1�+.- +.-'-6+.- #�& 5��.#%- s sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � ���s�" 9 � +,&(# < $6� 5 1 5 &(5,-6-65=1A+(#�-Fh ��#%�"#�<6+ s sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � �

� � �=�/�.����� � � �������4��� ����� C��� s @ 9 7%+kT�#76PQ5,+ #,T <6$6# 5 � +07%+.&�+ O7RQ5,+ # 5�5 � +.&�#�<6$6�85 1�+.- +.-'-6+.- sfsfs s sfs sfs sfsfs s �

� s @ s @ [ #�� +07%� 1�5,1�#*& /5B6 � &(5 sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � � s @ s > b $6#,h���0�#%T�7��85 1�# S 5,-'-6+.- U5 �.#%�"+ 7�� 1 5 1�#�& /5 6A�"& 5 sfs sfsfs s sfs sfs sfsfs s � �� s @ s�� m 5,&(59T�!�+=1�+�S 5,-'-6+ U5 �,#%�"+ 7�� 1 5,1A#�& /5B6 �"& 5 s sfs sfsfs s sfs sfs sfsfs s � 3� s @ s�� m #%&�S +=1�#27�+kT < 5 <6+(#�� 5 <6+.$�1�#27 5 $ : 5�U5 �.#%�"+ 7�� 1 5 1�#�& /5 6A�"& 5 sfs sfsfs s-� ?

� s > d #�� - 1�#2#�-67 5 �85�T 5 � +07%+.&�+ O79Q5 + s sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s-� �� s > s @ [ #�� +07%� 1�5,1�#*& /5B6 � &(5 sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s-� �� s > s > [ #�� +07%� 1�5,1�#%- 2�-6� +,� + : �"7 5,&�#%T <6#�#%h ����� 5,� #,T <6#%- s sfs sfsfs s sfs sfs sfsfs s-� >� s > s�� \=T�#�$ : � 5=1�5=�"+ 7�+.&�+ O79Q5,+ sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s-� 3

� �=�+� ��� �A�� ��� ���

� ������ ���������� ��������������� �!#" ��� ! ��$

9ts @ 9 #%h � 5PO7RQ5,+ 1�#fX;5 �0�"#%$ �e`0< +�+,#%- s sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >9ts > [�5�%9Q5,+=#�-'< 5 7%� +9T /5,$6� 5�#%& �A& < � j + sfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s �9ts�� m � j +=$ / : � 1�+ 7�+.& ��& : $ 5,1A� #%T <6#�1�# S�$6#�-6-%Q5 + +.-'7%� � 5 < /+,$6� +�1 5,1�+ s sfs sfs sfsfs s 3

� ������ ���������� %�& ��'���(�)� ���*� ! ���� "+! �� ,�-� ! ��� $��* s @ Y T <6$6+01�� O7RQ5,+ s sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > @* s > m #,T�-%Q+.#�-;1A# �0� 1�+ U5/. #@6PQ5,+ sfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > �* s�� b �85,&tj 5 : #�& sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >

� �0� " )��*1 ! ��2�� ! �������'�(�3� $34

r s @ X;+.&�#%T�7��85 <6��$ 5�1A+.- +.-6-'+.-;1A+.- & 5 & / � #%$6+,- s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > �r s > X;+.&�#%T�7��85 <6��$ 5�1A+.- +.-6-'+(1 5 -;5��,#%- sfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � ?

� �51���2�� ! �� "+! �'� ! �6�� ! ��1� *� ! � 4 �N s @ � - !�+,&(#,T�- & 5 � - $ /5RS�� 1�+,- s sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � @

�"�

Page 7: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

N s > � - &(5,$ 5 < +kT��"-'< 5,- sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � >

��������� ���� �����4� 4;C

� �"�

Page 8: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ������� �� � ��� �����

@ s @ [�5,$6� 5PO79Q5,+ 1 5 � +,$RO7 5 #%-.S #�7./ 2�7 5����������� 8����� ��!#"$&%(' !*),+ 7%+,& 54& 5,-'- 5 #%&���/5 $6� +,- 59TA���& 5,�"- s 9 - 5 <6�&�0� 1�5,1�#%-�#@6 #�$67%�"1 5,-�-,Q5,+.-�g 7%+.$'$6#%$,/10�gaS����85 $2/43<g�S��6�5 $�#�#�&WS��A$6$ 5 $2/g T 5,1 5,$,/65 g �.+ 5 $2/15 g 59S #%$'<6+21 5 : 5,$6$65*1�# 7 5,$659T : ��#87'+6/19 g &(+,$61�#�$ s 9 - � � TA! 5,-

< $ 5 O7 5,1 5 -�-,Q5,+ b +,$RO7 5;:=< > ?�? <A@1B�C�D #�b +.$ O7 5:2< > > ?E<F@1B�C�D s 9 - � +.$ O7 5,-

#%-'<%Q5,+�#%&HG�# 5,- &(5,-6-65,- #%&JILK s b +kT < #NM 9 � #76A59T�1�#�$O� @ 3 " +QP �NR1s sfs sfs sfsfs s @ s > Y � ��- < $ 5 O79Q5,+]h � 5 � �"< 5 < ��� 5 1 5;$6#%� 5PO79Q5 +*#%T < $'# 5,-cS +,<��#,T�7%� 5,- &�#�< 59j /+.�"� 7%5,- 1A#�$6#,S +.�A-6+ g

& /5B6 �"& 5 # T�#�7%#�-6- /5 $6�85�S 5,$65��.+ 5,$ s sfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >@ s�� [�5,$6� 5PO79Q5,+=1 5�S + <��#%TA7%�85�&(# < 59j /+.� �"7 5�& /5B6 � &(5=# 1 5�S +,<��#%T�7��85�&(# < 59j /+,� � 7%5 T�#%7�#%- �

- /5,$'�85�S 5,$65 S 5,�"$ 5,$=TA+ 5,$�7%+,&5 &(5,-6-65 #�&& 5,$'� S +.- 5 - s 9 �"� T�! 5�� T � #%$'� +.$ &�+.-'<6$ 5

5�S +,<��#%T�7��85 TA#%7%#�-6-�/5,$6� 5�S�5,$ 5�S 5 � $ 5 $ T�+ 5,$ # 5 -6� S #%$'� +.$ &(+.- < $65 5�S + <��#%TA7%�85

&(# < 59j /+,� � 7%5 & /5B6 � &(5 s�sfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >@ s�� - +,<��#%T�7��85�&�#�< 5Rj /+.� �"7 5TS;UWV(XWYZX &(5,-6-65�7%+.$.S +,$ 5,� #%& 59T��"& 5,�"-;#�& $'#%S +.��-'+ s �2$�/5 �

2 7%+=7%+9T�!�#%7�� 1�+�7%+,&(+=5\[WYLVWS^]`_LabV#];c8ad]LaeUWfgU*h,];i1c8U s ^ # < �"$ 5,1�+ 1A+��"�&�0$6+ejk[#];fmlniLoP �NR�s sfs sfsfs sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s �

> s @ Y � ��- < $ 5 O79Q5,+=1�+=&�+ 1�#�� + s=sfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s @,@

��s @ 9 �"<6��$ 5�S;UWVpXWYX 1�� �5 &(# < $6+;1�# /5,$ �.+.$'#%-=h ��#�<��#�& +.- &(#�-6&�+.- � 5,� +,$6#%- 1�#rq�:^s7g.+kT�1�#

q /#*+ & /+,1���� + 1�#�#%� 5,-'<6� 7%�"1 5,1�#;#ts /#25�1A#%T�-'� 1 5,1A#�1 5 & 5,1A#%� $65 s 9 �"� T�!�5 7 !�#%� 5�g7%+.& ��&(5 � T�7�� � T�5PO79Q5,+ 1�# >vu � � 7�+.&�+ZS�$'# � �#�5 #%h � 5PO7RQ5,+ �as!� +3g /# 5ZS�$'# �0� -,Q5,+ < # /+,$6� 7%5 s9 � � T�! 5�<6$ 5,7�#w765,1 5 /#25�7���$,� 5 h ��#2&(#�� !�+.$ -6# 5�7'��- < 5=5,+.- 1 5,1�+.- #*< 5,& j /#�& <6#%&

��& 5 � T�7�� � T 5PO79Q5 + � : � 5,� 5*>vu ��s�x * ��7 + �"� T :vy /# 5oS 5,� 5 �0$65;� T : � #�- 5ZS�5,$ 5 . 5,& j 5 : #%& s�2$�/5$2 7%+=+kj < � 1A+ S +.$ 3 7�3 5,!A+kTzP @�? R�s_s sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > �

��s > Y � ��- < $ 5 O79Q5,+ 1�5 1��&� #�$6#%T�O7 5 1�# 7�+.&�S +.$ < 5,&�#%T <6+ #%T <6$6# &(5,&4/ � #%$'+.- S #,h0�A#%T�+.- #

: $ 59TA1�#%-nT 5=5,�"+.&(# < $'�85 1�+,- +,-6-6+,- s N 5,1�+.- 1�# * #�$'<6$ 5,& # * � #,{ #%TA#%$OP @ � g @ 3NR�s s s > 3��s�� r +.&WSA$6� &�#%T <6+zS;UWVpXWYX 1A� �5,&�#�<6$6+ 1 5 <�/ j��85 #�& 7%+0+.$61A#%T 5,1�5,-=� + : 5 $ / <6&(�"7 5,- s 9

2 : ��$65 &(+,-'< $65 5 #76A�"-'<��#%T�7��85 1�#�$'# : �"&(#�- 1�# #%-67%5,�85 1A� -'<6� T < +,-tS 5,$65 &(5,&4/ � #%$'+.-

S #,h0�A#%T�+.- # : $ 5RT�1�#%- s �2$�/5$2 7%+=+kj < � 1A+�S +.$or !�$'� - < �85RT�-6#,T|P > �NR�sls s sfs sfs sfsfs s > 3

� s @ [ #%� +07%�"1 5,1�# & /5B6 �"& 5}S;UWV(XWYX�&(5,-'- 5 7%+.$.S +.$65,��#�& 7%+0+.$61A#%T 5,1�5,-� + : 5,$ / < &�� 7 5 -

S 5,$ 5@�? >=&(5,&4/ � #�$6+.- s N 5,1�+,- 1�#�� 5,$'�859TA1~P � 3^R1s�sfsfs sfs sfsfs s sfs sfs sfsfs s � >

�&�

Page 9: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� s > b 5 < +.$=1�#47 5,$ : 5 S;UWV(XWYX=&(5,-6-65 7%+,$FS +.$ 5,��� + : + s �2$�/5$2 7�+ +kj < � 1A+ 5S 5,$'<6� $=1�+.-

1 5,1�+.- 1 5�< 59j #��85 � s > s sfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s-� @� s�� N �"-'<6$6� jA���.O7RQ5,+�1 5,-0�,#%�"+ 7�� 1 5,1A#%- +kjA-6#%$ � 5,1 5,-ES +.$ - #,T T � 7%���"7 + s 9 - � � TA! 5,-.�,#%$ < � 7%5,� -

-%Q5,+45,-��.#�� +07%� 1�5,1�#%- & /#%1�� 5,-�#WT /#�+�T�/��&�#%$'+ 1�#�59T�� &(5,�"-*+kj�-'#%$,� 5,1A+.- s b +kT <6#;M- #%T�T � 7���� 7 +EP �NR�slsfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s-� "

� s�� N � -'<6$6� j����.O7RQ5,+ 1 5,-�� $6#%h���0�#,T�7%� 5,- 1�#�S 5,-6-'+.-�+kjA-6#%$ � 5,1 5,- S +.$ - #%T�T � 7���� 7 + s 9 -

� � TA! 5,- �,#%$ < � 7%5,� -(-%Q5,+ 5 - � $6#,h���0�#,T�7%� 5,-�1�# S�5,-6-'+.-& /#�1��85 - # T /# + T�/��&�#%$'+ 1�#

59T�� &(5,�"- +kj�-'#%$ �,5 1�+.- s b +kT < #NM - #%T�T � 7���� 7 +EP �NR�s�sfsfs sfs sfsfs s sfs sfs sfsfs s-� "

* s @ b +,$RO7 5 -�1�# 7%+.&�S�$'#%-6-,Q5,+ 5 : � T�1�+#%& ��& 5 j�5,$6$65 1A# 7%+.&�S�$6�"&(#,T < +�� # /5 $6# 51 5

-6#aO7RQ5,+�$6#�< 5�� s s sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > @* s > N �85 : $65,&(5 < #,T�-%Q5 +$� 1�#�� +.$6&(5PO7RQ5,+ s 9 2 : �A$ 5�T Q5,+=#%- < /5=#%& #�-67 5 �85 s s sfs sfs sfsfs s >.>

* s�� *�5,$6$65 -6� j�&�#�<6� 1 5=5�� +.$ O7 5,- 1�# . #76 Q5 + s sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > �* s�� *�5,$6$65/. #@6 � +9T 5,1 5 s�sfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > �* s! V;&(5 S #,h0�A#%T 5 � 5 < � 5�1 5�j�5,$6$65=&�+.- < $ 5 1 5 T 5 2 : ��$65�* s�� s sfsfs s sfs sfs sfsfs s > �* s > ` #aO7RQ5,+($'#�< 5=1�5�j 5 $6$ 5 &�+.-'<6$ 5,1�5�T�5 2 : ��$ 5 * s � s sfsfs sfs sfsfs s sfs sfs sfsfs s > �* s!� *�5,$6$65 7%� � / T�1A$6� 7%5�-'+�� $6#,T�1�+6. 5,& j 5 : #%& s s s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >

r s @ \ -.h ��#%�"#�< +1A#���& : 5 < + s�� -]T�+.&�#%-;1�+.-*+,-6-6+,-*#%- < ��1 5 1�+.-�T�+7%59S / <6��� + � #�-'<JQ5 +

T 5�< 59j #%� 5Wr s @ s b +kT < #NM N � 7�#9g `A5 7 +#�� #%TA-6� T : P > "NR�s sfs sfsfs s sfs sfs sfsfs s > "r s > \ -.h ��#%�"#�< + 1�#���&7%5 � 5,�"+ s � - T�+.&�#%-�1�+.- +,-6-6+,-�#%- < ��1 5 1�+.- TA+�7 59S / < �A� + � #�-'<JQ5 +

T 5�< 59j #%� 5Wr s > s b +kT < #NM �2# <6< � P > 3NR�s�s sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > 3r s�� \ -.h ��#%�"#�< + 1�#�A& 5 5��,# s 9 T�+.&�#%7��85 <6��$ 5 1A+.- +.-6-'+.- #%- < ��1�5,1�+.- T 5 -'#aO7RQ5,+ ��s!�

#%-'< /5�T�5 < 59j #%�85�r s���s b +kT < #NM N � 7�#9g `A5,7 +#�� #%T�-'� T : P > "NR�sZsfsfs s sfs sfs sfsfs s � ?

Page 10: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ������� �� � ���%������

> s @ r +.&WS�5,$ 5PO7RQ5,+ #%T <6$6# +.- #76�S +0#%T < #�-�S�$'# �0� - < +.-iS #%�"+ &(+01�#�� +�# +.-0� 5,�"+.$6#�- #@6aS #%$'� &�#%T < 5,�"- sb +9T <6#;M � #%- < UWc ];fkP ^R�s�sfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s @ "

��s @ N # � +.$'& 5PO7RQ+.#%- #%-.S #�7./ 2�7 5,-���&�#%1��"1 5,- #%& ��/5 $6� +,-�59T��"& 5 � -�#@6 #%$'7%#%TA1�+ ��/5 $6�85 -�5 <6���� �"1 5,1�#�- s sfs sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >,>

��s > m #,T�-%Q+.#�-& /5 6A�"& 5 -(&�#%1��"1 5,-�+,� #%- < � &(5,1 5 - T�+.-+,-6-6+,-�1�# 59T��"& 5 � -=7%+.$'$6#,T�1�+ s� )� ' ) /#*5 < #%TA-%Q5,+=1�#�� �"1�+=5�� +.$ O7 5,-�1A#*7%+.&�S�$'#%-6-,Q5,+ g � % ��� �)�� /#25�< #,T�-%Q5 +�1A# �0� 1�+=5

� +.$RO7%5,- 1�# . #@6PQ5,+ # ��� � � ) /# 5*< #,T�-%Q5 + <6+,< 5,� � ��� � � ) > � )�� ' )��� � % ��� �)��(+ s 9 - < #%TA-%Q+.#�-

-%Q5,+=1 5,1�5,- #%& &�# : 5 - 5,-67%5,� � 3 - 5+ s�s sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s >,>

��s�� \ 6aS + #,T < #%-���1 5=$6#��85PO7RQ5,+=5,�"+.& /# < $'� 7 5 ��������+kjA< �"1�+.-IS +.$ 347 3 5,!�+kT�P @,@ R�s sfs s > ���s�� \ 6aS + #,T < #%-�� #! \� 1�# 27TA� 1�+.-IS #%� 5,-�#,h0��5PO79Q+.#�- ��s @�# �as >v+�+kjA< �"1�+.-@S +.$ 9 � #76�5RT�1�#%$

S 5,$ 5=59T < / � +9S #�- P @�> R1s sfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > >��s! \ 6aS + #,T < #%-�5,�"+.& /# < $'� 7%+,-"� ## 4+9jA< �"1�+.-�S +.$ 9 � #76A59T�1�#�$`UWc ];f s S 5 $ 5 : $6� S +.-�1�#

& 5,&4/ � #�$6+.- # S 5,$ 5�<6+ 1�+,- +,- & 5,&4/ � #�$6+.- 7'� T < +.-�P @ �^R�s sfs sfsfs s sfs sfs sfsfs s > >��s > \ 6aS + #,T < #%-;5,�"+.& /# < $'� 7%+,-$� #% (+9jA< �"1�+.-IS +.$ * � #W{ #,T�#%$oS 5,$65 +.- & 5,&4/ � #�$6+.-QP @ �;R1s�s > ���s!� \ 6aS + #,T < #%-;5,�"+.& /# < $'� 7%+,-$� #% WS�5,$ 5=+ � �#%&���$ $'#�<6� $ 5 1�+.- 1�#�� /5,$6�"+.- 5,$ < � : +.- s sfsfs s > ���s�" \ 6aS + #,T < #%-;5,�"+.& /# < $'� 7%+,-$� #% WS�5,$ 5�5�<�/ jA�85 $'#�< �"$ 5,1A+.- 1�# ��/5 $6� +,- 5,$'<6� : +.- s sfsfs s > "��s�3 \ 6aS + #,T < #%-;5,�"+.& /# < $'� 7%+,-$� #% WS�5,$ 5=+ /�A&(#�$6+ $6# < �"$ 5,1�+,- 1�#���/5 $6� +,- 5,$'<6� : +.- s sfs s > "��s @ ?p\ 6aS + #,T < #%- 5,�"+.& /#�< $'� 7�+.-&� #! �S 5,$ 5�+ $�/5,1��"+�#25���� T�5 $6# < � $65,1�+.- 1�# � /5,$6�"+.-�5,$ < � : +.- s=� ?��s @,@�\ 6aS + #,T < #%- 5,� +,& /# < $6�"7%+.-'��## +kjA<6� 1�+.-�S +.$fr !�$'� - < �85RT�-6#,T�P > �NR #�+.-�� 5,� +.$'#%-�1�#

� )(*�.� #@6aS + #,T <6# 5,�"+.& /#�< $'� 7�+ 1 5 � +,$RO7 5 1�# . #@6PQ5,+�g�#%h � 5PO7RQ5,+ ��s @ " +�# � )( >+�� 5 S�$6#�� �"-%Q5,+41 54-'� &�� � 5,$6�"1 5,1�#�#���/5,- < �"7 5 /#Wh ��# � #( >+� > @�+ s $ /#�+ 7�+ #�2 7%�"#%T < #1�# 7%+.$'$6#��85PO7RQ5,+ s 34+01�#%�"+�Y /# 5 $'# : $'#%-'-%Q5,+ � � T�# 5 $ S #%� + & /# < +01�+ 1�+.-&4/ T��"&(+,-

h0��5,1�$ 5 1�+.- s 34+ 1A#%� +YFY /#45 $6# : $6#�-6-,Q5,+ � � T�# 5 $ S #�� + & /# < +01�+ x $6#�1���7%#�1 &(5�7'+.$

5B6 � - y �C^�3 9 + s s sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � ?��s @�> \ 6aS + #,T < #�5 � +.& /#�<6$6� 7�+�8 1 5�U5,$'# 5 &���-67����85 $�$'#%S +.$'< 5,1�+ +,� 7 5 � 7%�A�85,1�+45�S�5,$'<6� $

1�+.-=1 5,1�+,-�1�5,-=$6# � #�$)�#,T�7%� 5,-=7%�"< 5,1 5,- s � #@6aS + #,T < # 8 /#1�# 2 T�� 1�+S #%�85 $'#%�85 O79Q5,+/���-, 8/.O"0 ��! 0 1�2�F< ) sqsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � @

��s @ � \ 6aS + #,T < #%-3��#4 +kjA<6� 1�+.- S +.$ 9 � #76�5RT�1�#%$�S�5,$ 5 � T : ���85,1A+.-# $6#��85 < 5,1�+.- S +.$

5 + + + 59T�#,T�P � ? R�s sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � >

� �

Page 11: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

��s @ � \ 6aS + #,T < #%- 5,�"+.& /#�< $'� 7�+.-&� #" WS�5,$ 5�� /5,$'� +.- +.-6-'+.- 1�#25��.#%- $'#%S +.$'< 5,1�+.-�+,� 7%5,� 7��!��85,1�+,- 5�S�5,$'<6� $�1�+,- 1�5,1�+.-nT 5,- $'# � �#%$'#%T�7��85,- 7��"< 5 1 5,- s s sfs sfsfs s sfs sfs sfsfs s � �

��s @ 9 � +,&(# < $6� 5 1 5 &(5,-6-65�1�+=#�-Fh ��#%�"#�<6+ � <E�#+ #�& � � T O7RQ5,+(1�5�&(5,-6-65 7%+.$.S +.$65,� ��< + sT /# + T�/�A&(#�$6+�1�# #�-FS /#�7%� #�-�+.� T�/��&�#%$'+(1A#�#%-.S /#%7�� &�#%-%g 1�#%S #%TA1�#%T�1A+ 1A+�5,$ < � : + s$�/# +=7�+ #�2 7%�"#%T < # 1�#27%+.$'$6#��85PO7RQ5,+ s�sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � �

� s @ \ 6aS + #,T < #*5 � +.& /#�<6$6� 7�+21 5 � $'#%h��� �#%T�7��8521�#<S�5,-6-'+.- & /5B6 � &(5 ���W� ) � ���8� . )�N+ $6# < � $65,1�+

1�#���/5 $6�85 - � +kT < #%- s $/#�+�7%+0# 2�7%� #,T < #21�#27%+.$'$6#��85PO7RQ5,+ sqs sfs sfsfs s sfs sfs sfsfs s � �� s > b 5 < +.$ 1�#*7%5,$ : 5 U5 �,#%� +07%�"1 5,1�# & /5B6 � &(5 � :�. )��N+lS�5,$ 5�5,� : ��T�-�59TA� &(5,� -=S #%h ��#,T�+.- s

N 5,1�+.- $'#�< �"$ 5,1A+.- 1�+.- 5,$ < � : +.-�1�# * �"#,{ #%T�#�$�P @ �;R #��25 < #�- � # * �"#,{ #%T�#�$�P � > R1s0sfs s-� @� s�� \ 6aS + #,T < #%- 5,� +,& /# < $6�"7%+.-<S 5,$ 5 1����.#%$'-6+.- S 5,$ �5,&(# < $'+.-2� � : 5,1�+.-WU5 � +07%+,&(+ O7RQ5,+1�+.-

59T�� &(5,�"- s�� - #@6aS + #,T < #%- S 5 $ 5 5,- 5��,#%- � +.$ 5 & $'#�< �"$ 5,1A+.- +.� 7%5,� 7����85,1A+.- 1�+

5,$'<6� : + P � > R�s � - #76aS +0#%T < #�-ZS�5,$ 5 +.- � T : ���85,1A+.- � +.$ 5 & $6# < �"$ 5,1�+,- +.�47%5,� 7����85 1�+.-

1�+ 5,$'<6� : + P � ? R1s � � �����2) /# + 7�+.&WSA$6� &�#%T <6+ 1 5�S #%$.T 5 7 5,�"7%��� 5,1�+ 5�S 5 $'< �"$ 1�+

7%+.&�S�$6�"&(#,T < + 1�+.- +.-'-6+.- 1 5�S #%$FT�5 s�s sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s-� >� s�� [�5,$6� 5PO79Q5,+ 1�5 �,#%�"+ 7�� 1 5,1A# & /5B6 �"& 5t��� . )���g #�&AI� :� + 7%+,& 5 & 5,-'- 5 7%+,$FS +.$ 5,�1� < g

#%&JILK�+ s b +9T <6#;M��25,$6� 59T�1~P � 3NR�s 9 - < $)�#%-oS�$6�"&(#�� $65,- #,h0��5PO79Q+.#�-1� +.$65,& 7%5,� 7����85 1 5,-

S +.$IT /+.- #�5 - +.�A< $65,- 1�� 5,- #�-'<JQ5 +($'#%�85 < 5,1 5 -IT�+�5,$'<6� : + 7��"< 5 1�+ s $/#25 7%+.$'$6#%� 5PO79Q5 + s � � s! [ /5,$'�85,- #%h � 5PO7RQ+.#%- S�5,$ 5 5 5,� +.&�#�<6$6� 5 1�5 �.#�� +07%� 1�5,1�# & /5B6 � &(5 ��� . )��N+ # -6� 5,-

$6#%-.S #�7�<6�&� 5,-�� +kT < #�-E��� . )�� #�& &du -p+ s $ /# 5 7%+,$6$6#��85PO7RQ5,+ # T /# + T�/�A&(#�$6+ 1�#

S +kT <6+.- scsfsfs sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s-� � s > 9 � +,&(# < $6� 5 1 5,- �,#%� +07%�"1 5,1�#�- #%h �����,5 � #%T <6#%-�P � @ R1s $ /# 5 7%+.$'$6#��85PO7RQ5,+ s�sfs sfs sfsfs s-� >� s!� 9 � +,&(# < $6� 5 1 5 � $6#%h���0�#,T�7%� 5 1�#�S 5,-'-6+.-�U5,- �.#�� +07%� 1�5,1�#%-2#,h0�A�&� 5,� #,T < #%-dP � @ R�s $ /#(5

7%+.$'$6#%� 5PO79Q5 + sns sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s-� �� s�" r ��-'<6+�1�#;<6$ 59TA-FS +.$'<6#�#%TA7%+kT < $65,1�+ S +.$�� /5,$6�"+.- � T �.#%- < � : 5,1�+.$'#%- s � - 1 5,1�+,- � +.$65,&

7%+.&�S�� � 5,1�+.- S +,$o` 7 !�&�� 1A< �eX;�"#%�"-6#%TEP �NR�sZsfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s ?� s�3 9 � +,&(# < $6� 5�1A+7%+.&�S�$6�"&(#,T < + 1A+�S 5,-6-'+~� � � )#�����8� +�U5 - �.#�� +07%� 1�5,1�#%-�#%h ���&� 5,�"#%T < #�- s

^ #��85PO7RQ+.#%- 1�#�1��'%�� 1 5,- 1�+.- $'#%-6�A�"< 5 1�+.- 59S�$'#%-'#%T < 5,1A+.-<T 5 - < 59j #%�85 - � s >�# � s��as sfs s >

* s @ r +.&WS�5,$ 5PO7RQ5,+ #%T <6$6# +.- & /+.1����"+.- 1�#� �+,� T : 1�#�� /5,$6�"+.- &(5 < #�$6� 5,� - s b +9T <6#;M 5 � j j #%�"#%$

P > �^R #f^ � jA� T 59T�1 d 59T � +kT|P > > R1s sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s > �

r s @ � -'-6+.- #�-'< �A1 5,1�+.-oT�+�7 59S / < �A� + � #2-6#%�A-;$'#%-FS #%7 < ���.+.-oT*/��&�#%$6+,-IT 5�2 : ��$65Wr s @ sZs s > "r s > � -'-6+.- #�-'< �A1 5,1�+.-oT�+�7 59S / < �A� + � #2-6� 5=$6#�-FS #%7�<6�&� 5�T0�A&(#�$ 5PO7RQ5,+�T 5 2 : ��$ 5�r s > s s > 3r s�� � -'-6+.- 1�# 5��,#%- #%- < ��1 5 1�+.-lT�+�7 59S / < �A� + � # -6��52$'#%-.S #�7�< ��� 5 T ��&�#%$65PO79Q5 +fT�5�2 : ��$ 5

r s���s s sfsfs sfs sfsfsfsfsfs sfs sfsfs sfs s sfs sfsfs sfs sfsfs s sfs sfs sfsfs s � ?

N s @ 9 �"<6��$ 5 -(# &(5,-'- 5,-(1�# � /5,$6�"+.-�7%+.$'$6#%1A+.$6#�- S�$6+$2 -6-'� +kT 5 � - 1�5 S�$6+ � 5 1�+,- @�?.?��$ 5,-'+.- s b +kT < #NM�� j���6V ]L[������ l UWf _9gA! <'< SkM&uvu^{ { { s ��-65 < � s +.$ : u,5 < !A� #�<6#%-(uRj�� +,- sqs s � @

�0�"�

Page 12: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

N s > 9 �"<6��$ 5 -�#& 5 -6- 5 - 1�#�� /5,$6�"+.-�7%+,$6$6#�1�+.$'#%-�S�$6+$2 -6-'� +kT 5 � -�1 5 &(5,$65 < +kT�5 s b +kT <6#;M� j� �6V ]L[�� ��� l UWf _9g ! <6< S M uvu�{ { { s ��-65 < � s +.$ : u,5 <6!�� # < #%-(uRj��"+.- s�s s sfs sfs sfsfs s � >

�0� �"�

Page 13: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

���������

� $ 5,&�+�1 5 * � +,� + : � 5Zh ��# #%- < ��1�5�$6#��85PO7RQ+.#%- 1A# #�-67%5,�85 /# 5 9 � +,&(# < $6� 5 s [ /5,$'�85,- �"#%�"- 1�# #%-'7 5,� 5

S #�$6&�#%� 5,& +�&�� T�1�+�jA� +.� /+ : � 7�+ s \ & S�5,$'<6� 7%�A�85,$,g,&���� < +.- 5,$'<6� : +,- � +.$65,& S�� j��"� 7 5 1�+.- T�5,-�/���"<6� &(5,-

1 /#%7%5,1 5,- -6+9j�$6#�5 5,� +,&(# < $6� 5(1�+,- +,-6-6+,- s \=T <6$6# < 59T < +�g 5 < /#=!�+^7'#�T�#,T�! ��&�&(+01�#�� + � +.� 7 59S 5$%�1A#

#@6aS��"� 7 5 $ +�7�+.&�S +.$ < 5,&�#%T <6+ #@6aS #%$'� &�#%T < 5,�"&(#,T < # +kj�-6#�$,� 5,1�+ s \ & T�+.-'-6+�<6$ 59j 5 � !�+ g &�+.-'<6$ 5,&�+.-

h ��# 5 5,� +,&(# < $6� 5 1A+.-�+.-'-6+.- #�-'< /5 1A� $6# < 5,&�#%T <6#�� � : 5,1 5 U5 5,� +,&(# < $6� 5 1�5 /5,$6#%5 1�+ & /��-'7%���"+�T�+,-

& 5 & / � #%$6+,-;# T 5 -25 �,#%- s ` #�7�+kT�-6�"1�#%$65,$6&�+.-]h ��#�� � < g � � <�� # � � < ) g +kT�1�# � # �-%Q5,+�gA$6#�-FS #%7 < �&� 5,&�#%T <6#9g�+�7�+.&�S�$6�"&(#,T <6+ #*+ 1�� �5,&�#�<6$6+�1�+.-�+.-'-6+.-,g < /#*5 &(5,-'- 5�7%+,$FS +.$ 5,� # � /#

5 /5,$'# 5 &��A-67%�A�85,$,g +5 7%+kS�� 5,&�#%T < +(#%T < $'# 5�5,�"+.&(# < $'�85 1�+.-*+,-6-6+,-*# 1 5 /5,$6#%5 &���-'7%��� 5,$�-'� : T���2 7 5

h ��# � #( � > 8 s 34+.- < $65,&(+,-�5 � T�1 5�h ��# 545,�"+.&�#�< $'�85 1A+.-�+,-6-6+,-�#�-'< /5 � � : 5,1 5 U5 � +07%+.&�+ O79Q5 + U5�.#�� +07%� 1�5,1�#*& /5B6 � &(5 s [ /5,$6�"+.- S #%-.h ��� -65,1�+.$'#%- 7�/5 ! 5��0�85,& -6� : #%$'� 1�+=5�#76A�"-'<��#%T�7��85�1�#�-6- 5=7%+9T�#@6PQ5,+ g#%T < $'#�< 59T < + g T�#%TA!0�A& 5 # �0� 10�#,T�7%� 5�$6# 5 � !�5 �0� 52-'� 1�+�59S�$'#%-'#%T < 5,1�5 s X /+.-_S #%$'7%#%j #%&�+.-lh ��#�5 � : ��&(5,-

� 5,$6� /5$�.#�� - � � : 5,1 5,-@U5��"+ 7�+.&(+PO79Q5,+ U5��,#%�"+ 7�� 1 5,1A# & /5B6 � &(5 <��#%& g.5,-'-6�"& 7�+.&�+*5*5,�"+.&�#�< $'�85�1�+,- +.-'-6+.-,g$6# : � &�#%- 1�#2#%-'7 5,� 5�1A� -'<6� T < +,-oS�5,$ 5=& 5 & / � #%$6+,-@S #,h ��#%T�+,-�# : $ 5RT�1�#%- s \ -'<6# � 5 <6+ /#�&(5,$67%59T < #RgN7�/5

h ��#5 : $659T�1�#(& 5 � +.$'�851 5,-�$6#%� 5PO79Q+,#%- 1A#�#%-'7 5,� 5 < #�& -'� 1�+47%+kTA-6� 1A#%$ 5 1 5 � /5,� �"1 5�S�5,$ 54<6+ 1A+.-�+,-

& 5 & / � #%$6+,-%g -6#�& 1A� -'<6� T : ��� $ &(5,&4/ � #%$'+.-nS #,h0�A#%T�+.-�1A# : $659T�1�#�- s*9 � /#%& 1A� -6-'+ g S #%$'7%#,j #�&(+.-<h0�A#

5 &�#%-'& 5 & 5 -6- 5 7%+.$.S +,$ 5,��� ?|ILK�+ -6#,S 5,$ 5 +.- &(5,&4/ � #�$6+.- S #%h ��#,T�+.-�1A+.- : $659T�1�#�-(< 59T < + T�5

5,� +,&(# < $6� 5 1 5 �.#�� +07%� 1�5,1�# & /5B6 � &(5�h0��59T < + T 5�5 � +.&�#�<6$6�85 1�+.- +.-6-'+.- s r ! 5,&(5,&�+.-5 <6#%T O7RQ5,+

S 5,$65�+ � 5 < + 1�# h ��# 5 � +.$ O7 5 1�# $'# 5PO7RQ5,+1�+�-'+.� + #�+7%+.&�S�$'� &�#%T < +(1�+�S 5,-'-6+�T�#�& -6#�&WSA$6# -%Q5 +

S�$6+9S +.$'7%�"+kT 5,�"-%g�$'#%-FS #%7 < ���,5 &(#,T <6#9gcU5=& 5,-'- 5=7%+.$.S +,$ 5,� # 5,+�7%+.&�S�$'� &�#%T < +=1 5�S #�$FT 5ag 7�+.&�+=<6#%&

-6�"1�+;�A-6� 5,�"&(#,T < # -6� S +.- < + s ^ #%59T 5,�"� - 5 &(+.- 1 5,1�+.- 1 5 � � < #%$65 < �A$ 5�-6+9j�$6# 5 &(5,-'- 5 1�+;#�-Fh ��#�� #�<6+<T�+,-

& 5 & / � #%$6+,- #�-6� : #%$'� &�+.-���&(5 T�+ � 5=#,h � 5PO79Q5 + 5,�"+.& /#�< $'� 7%5�#���&(5 T�+ � 5=� T < #%$.S�$6# < 5PO7RQ5,+ s b �&%%#%&�+.-

��&(5 $'# �0� -,Q5,+ 1 54�"�"< #�$ 5 <6��$ 5�-'+kj�$'# 5 5,�"+.&(# < $'�85�1 5 /5,$6#%5 1A+4& /��-67���� +#�-6+kjA$6#(5 5 � +.&�#�<6$6�85�1�5

� $6#,h���0�#,T�7%� 5 & /5B6 � &(5�1�#oS 5,-6-'+.- s X + 7%5,-6+�1 5�5 � +.&�#�<6$6�85*1�5 /5,$'# 52&���-67����85 $%g #%T�7�+kT < $65,&(+,- h ��#;+

#@6aS + #,T <6# 5,�"+.& /# < $'� 7%+ ? s�" ? /# � /5,�"� 1�+oS 5,$65 < +01�+.- +.- & 5,&4/ � #�$6+.- s X;+*7%5,-6+�1 5�� $'#%h��� �#%T�7��85 & /5B6 �"& 5

1�#<S�5,-6-'+.-%g #%T�7�+kT < $ 5 &(+.-lT�+ � 5,- #��0� 10�#,T�7%� 5,- h ��# < 5,& j /#%& � #�� 5,&5,+ #76aS +0#%T < #�5,� +,& /# < $6�"7%+ � ? s @ "#%T�7�+kT < $65,1�+ T 5� �"<6#%$65 < ��$65 s XfQ5,+ ! 5��0�85�T 5 � �"<6#%$65 < ��$65 ��&(5�#%h � 5PO7RQ5,+ 5 � +.& /#�<6$6� 7%5WS 5 $ 5+ � 5 < +.$

1�#�7 5 $ : 5�U5��,#%� +07%�"1 5,1�#�& /5B6 � &(5 S�5,$ 5 5��.#�- #�& 5,&4/ � #�$6+.-lS #%h ��#%TA+.-�� � 5 <6+.$�1�#�7%5,$ : 5 /#25�� $65PO79Q5 +

1�+4<6#%&�S + 1�#���& S 5 -6-6+ #%& h ��#���& 5 S 5 < 5 #�-'< /54#%&�7�+kT < 5 <6+ 7�+.&�+4-'+.� ++ s V < �"� � %%59T�1�+�<6$)�#�-7 5,&�� TA!�+.-�1��&� #�$6#%T <6#%-%g � +.&�+.- 7 59S 5$%%#%- 1�#<S�$'+kS +.$ +�#@6aS + #,T <6#*5,�"+.& /#�< $'� 7�+�� ? s ? 3 S�5,$ 5 + � 5 <6+.$ 1A#

7 5,$ : 5�U5��.#%�"+ 7�� 1 5 1�#2& /5B6 �"& 5tS�5,$ 5 #%-'-6#�-*59T��"& 5 � - s

Page 14: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

�� ���������

9 � � +,&(# < $ � �"-�< !�# jA$ 59T�7 ! +���* �"+.� + : � 7%+kT�7�#%$.T�#%1 { �"< ! -'7 5,�"� T :�s ` #��.#�$ 5,��-'7 5,�"� T : � 5={ -

� T�1�#�$6�"� # < !�#Zj�� +,� + : �"7 5,�Z{ +.$6�"1 s - 5 $'< �"7%��� 5,$6� � g j +kT�#;5,� �"+.&�#�< $ � ! 5 - j #%#,T < !�# -6��jL7'#%7 <�+�� -'# �,#%$ 5 �

-'<6��1�� #�-1���$'� T : <6!�# �85 -'<�1A#%7 5 1�#%- s 5 + { # �,#%$%g<T�+ &(+01�#%� 7 5RS 59j��"# +�� #@6aS�� 5,� T�� T : � < -�-'7 5,�"� T :

j #�! 5��0� +.��$ � -�5�� 5,�"�859j��"# � S < + <6!�# S�$'#%-'#%T < 1 5 � s � # ! 5��.# -'!�+ {nT < ! 5 < j +kTA# 5,� �"+.&�#�< $ � � -

S�$6�"& 5 $6� � � 7%+.��S�� #�1.{ � < !=&���-'7%�"# 5,$6#%5 5 � � +,&(# < $ � � T�j�� $'1�- 59T�1=&(5,&(&(5,�"- s � # !�5 �,# 5,� -'+�-6!�+ {nT< ! 5 < j +kT�#(5,�"� +.&�#�<6$ � � - 7%+.� SA� #%1 { �"<6! �"+ 7�+.&�+,< �"+kT 5 <2< +kS -FS #%#�1 s 3 59T � � T �,#%-'<6� : 5 < +.$'- !�5 �,#

-6� :,: #%- < #%1(< !��"- 7%+.� SA� � T : j #�<8{ #%#,T j +kT�# 5,� �"+.&�#�< $ � 5RT�1(�"+ 7�+.&�+,< �"+kT g j��A<�< !�# � 1�� 1�T�+,<lS�$'#%-'#%T <59T � # �0�"1�#%T�7�# <6+�-'� S S +.$'<�� < s � # � +.� T�1=+.� <�<6! 5 < -'+.&(# �"+ 7�+.&(+ < +.$ �,5 $6�85Rj�� #�-cS�$6#�-6#,T < < !�# -65,&(#

<8{ + � $6# : � &�#Ij #%! 5��0� +.�A$ +kj�-6#�$,�,#%1�� T j +kTA#;5 � � +,&(# < $ � s m !�� - � - $'#%&(5,$ + 59jA� #@j #%7%5,��-6# &�+.-'< +�� < !A#

-67%5,� � T : $6#��85 <6� +kTA-6!�� S�- 1�+ TA+,< 1�� - < � T : ���"-6! j #�<8{ #%#,T4-'& 5,�"� 5RT�1 �85,$ : #�&(5,&�& 5,�"- s b ��$'<6!�#%$'&(+.$'#9g{ # � +.��T�1 < ! 5 <�< !�# -65,&(# j +01 � &(5,-6-b� ?TILK�+;1A�&�0� 1�#�-�& 5 &(&(5,� - � T -6&(5,� � 59T�1 �85,$ : # : $6+.� SA-

$6# : 5,$61A� T : j +,<6! j +kT�#�5 � � +,&(# < $ � 59T�1 <6+kS -FS #%#�1 5,� �"+.&�#�< $ � s � # 5,� -'+ !�� : !��"� : ! < < !�5 <Jg 1�#%-.S��"<6#

< !�#�� 5 7�<*<6! 5 <�&(59T � 5 �A< !�+,$6-�-6��S S +,-6#�< !�5 < : $'+.� T�1 $'# 5,7 < � +9T� +.$67�# 59T�1 -'<6$6�"1�#�� #,T : <6! 5 <*< +9S-FS #%#�1 5,$6# S�$6+9S +.$ < �"+kT 5,��gA$6#�-FS #%7 < �&�,#%� � g <6+ j + 1 � & 5,-'-�5RT�1 �"# : � #%T : < ! g < !�5 < 1�+ #�-<T�+ <�! 5RS S #,T5 <�< +kS�-FS #%#%1 s � # ! 5��.# $'# 59T�5,� � -6#�1 � � < #�$ 5 <6��$6#1 5 < 5 +9T - + #%�"#�< +9T & 5 -6-(59T�1 { # -'� :.: #�-'<�5

T�#,{ 5,� �"+.&(# < $'� 7�$6#%� 5 < �"+kT 59T�1�5 T�#,{ � T < #�$FS�$'#�< 5 < � +9T s � # ! 5��.# $6#��0� #,{ #%1 < !�# �"�"< #�$ 5 <6��$6#+9T&���-'7%� # 5,$6#%5 5,�"� +.&�#�<6$ � 5RT�1 &(5B6 � &���&�- < $'� 1�#�� $6#%h ��#,T�7 � s � # � +.� T�1 < ! 5 <�&���-'7%�"#�5,$'# 5 ! 5 -

5$6# : ���85,$<j #�! 5�� �"+.��$�� +.$25,�"� &(5,&�& 5,�"-�5RT�1 <6! 5 < ? s�" ?��"-25 $'#%�"�859j��"#�� 5,� �A#�� +.$*< !A#(5 � � +,&(# < $6�"7

#@6aS +kT�#%T < s � # S�$'#%-6#,T < T�#W{ # �0� 1A#%T�7�# { !��"7 ! -6� :.: #%- < -�< ! 5 < � ? s @ " �"- < !�# & 5 6A�"&���& -'< $'� 1�#

� $6#,h0�A#%T�7 � 5,� �"+.&(# < $'� 72#@6aS +kT�#%T < s 9 T 5,� �"+.&�#�< $'� 72#%h � 5 < � +9T � +,$�< !�# 1A�A< � � 5,7 < +.$�5 <�< +kS -.S #�#%1

� +.$_j�� $'1�- 59T�1 -'& 5 � � &(5,&(&(5,�"- 7%+,��� 1WT�+,<lj # � +.� TA1 � T�< !�# � � < #�$ 5 <6��$6#�� 1��A< � � 5,7�<6+.$ � - < !�# $ 5 < � +

+�� +kTA# � + + <�� - <6� &�#(+���7%+kT < 5 7�<�<6+ -'<6$6�"1�# S #%$'� +01 + s � #d{ #�$6#5Rj�� #=< + 1A#�< #�$6&�� T�#=< !A� - -'7 5,�"� T :

$6#��85 <6� +kT�-'!�� S 5RT�1`{ # � +.� T�1 < !�5 < � ? s ? 3 �"-;5 $'#%� � 59j��"#1� 5,� �A# � +.$�< !�# 5,�"� +.&�#�<6$6�"7�#@6aS +kT�#,T < s

Page 15: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ��� �� �O ��� �

��� � � � �� ��

� S #%$6-'+kT 5 : #%& ����� �"�&�.#�$%g�1A# ),+9T 5 < !�59T `Z{ �&� <Jg #,T�7%+9T <6$6+.� � -6#�#%& -'� 5,-�� � 5 : #,T�- 7%+.& +,-ZS #%h ��# �T�� TA+.- � �"� � SA�A< � 59T�+.- #2+.- : � : 59T < #�-67%+,- !�59j��"< 59T < #�- 1�# * $6+kj 1�� T : T 5 : P @ R�s � 5,� < +.$ 1�#�-67�$6# �,# +.- �"���� � S��A< � 59T�+.- #�j�$6+9j 1�� T : T 5 : �859TA+.- 7�+.&(+ $0/#%S��"� 7%5,-@S #%$,� #��"< 5,-�1�+=-6#�$ !0�A& 59TA+ g�-6#,T�1�+=+.-IS�$'� &�#%�"$6+.-

��&(5 &(� T��85 <6��$ 54#+.- /���"<6� &�+.- ��&(5 7 /+9S��85 #�& : $ 5RT�1�# #%-'7 5,� 5 s \=T < $6# < 59T <6+ g -'#%$'�85 $6#%5,� &�#%T < #S +,-6-%/ �.#�� 5 #76 � -'<��#%T�7��851�#=��& -6#%$2! ��&(59T�+ @�? �,#)%%#�- &(5,� -�5,�"<6+1�+ h ��#�T /+.-���\ 7%+,&(+-'#%$6� 5 5

�0� 1 5 1�#2��& !A+.&(#�& 1�#=@�>�7%& 1�# 5,�"<6��$ 5��� -12�� &�#%-�1A# 2 7 O79Q5,+7�� #%T < / 2 7%5 &���� < 5,- �.# %%#%- 5,-'-6��&�#%& h ��#9g -6#�� +.-'-6# S +.-'- / �,#%� 5,��&�#%T < 5,$

+ < 5 & 59TA!�+(1A# ��& 59T��"& 5,��g 5 -'� 5 � +.$ O7 5 5 ��&(#,T < 5,$'�85�T 5 &�#%-6&(5WSA$6+kS +.$RO7RQ5,+ s r +kT < �A1�+ g 7�+.&�+

�.#�$6#%&�+.-ZT�#%- < # <6#@60< + g +.-;-6#%$'#%- �0���.+.- -%Q5,+ � � &��"< 5,1�+.- #�� T . ��#,T�7%� 5,1�+.-;1�# � /5,$'�85,- &(59T�#%�"$ 5,-nS #%�"+

-6#��4< 5 & 59TA!�+ sV & -6#�$ !0�A& 59TA+ g S +,$ #@6 #%&�S�� +�g 5,+2- 5,�"$ 1�+ j 59T�!A+ g 7 5,$'$6# : 527�+kT�-'� : + S #%h ��#%T�5fh � 59T <6� 1 5,1A#

1�# /5 : ��5�g 5�h0��5,�*1�#� +.$'& 5 5,� : �A& 5 + � &�S #�1�# 1�# 59TA1 5,$ s - +.$+.�A<6$6+ �85 1�+ g ��& &�+.-.h0�A�"< +

&(+,� ! 5,1A+2 7 5 � &�S +.-'-6� j�� �"�"< 5 1�+ 1�# �.+.5,$%g ��& 5�,#)%�h ��#4-6� 5 &(5,-6-65 S�$65 < �"7 5,&�#%T < #1A+kj�$ 5}P > R1sN 5 &�#%-'& 5 � +.$6&(5�g 5,- 1�� &�#%TA-%Q+.#�- 1�+.- +.-'-6+.-,g 5 � $'#%h �0�#%TA7%�85 7 5,$'1 / 5 7 5�g 5 �,#%� +07%�"1 5,1�#�& /5B6 � &(5�g+< #%&�S + 1A#��0� 1�5�g +< 5,&(59T�!�+ 1�+ < #�$6$'�"< /+,$6� + # � /5,$'�85,-�+,�A< $65,- : $ 59TA1�#)%%5,-2-%Q5,+ S�$6+$� � T�1 5,&�#%T <6#� T .���#%T�7��85,1�5,-IS #�� + < 5 & 59TA!�+=1�+�59T�� &(5,� s

����� ���)��� � �� )�

9 5,�"+.&(# < $'�85 /# +�$ 5,&�+�1 5�* � +.�"+ : �85nh ��# -6#ISA$6#%+07%��S 5�7%+.& S�$6+9j�� #�& 5,- 1�# #%-'7 5,� 5 scd � < #%$65,� &�#%T <6#9g5,� +,&(# < $6� 5�-6� : T��&2 7%5��dU#_;l _]._;l h=UWV(UWi1cwU s09 -�$'#%� 5PO79Q+.#�-�5,�"+.& /#�< $'� 7%5,- -%Q5,+ : #�$ 5,�"&(#,T < # 1�#%-'7%$6� < 5,- S +.$

1�#2� #�� - 1�# S +,<��#,T�7%� 5=1A+=<6� S + �> 8e< ��� � @ s @�+

+kT�1�#

�/#2+�S 5,$ �5 &(# < $6+�j��"+.��/+ : � 7�+ 1�#2� T <6#%$6#�-6-'#9g 8�/#���&(5=7�+kT�- < 59T < #Rg4< /#25=& 5,-'- 5 7%+,$FS +.$ 5,� #

� /#2+=#@6aS +0#%T <6# 5,�"+.& /#�< $'� 7�+ s

@

Page 16: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

9 �"&WS +.$'< �59T�7��85 1 5=5,�"+.&�#�< $'�85 $'#%-'� 1�# S�$'� T�7�� S 5,�"&(#,T < #]T�+,- -'# : �A� T < #�-oS +kT < +,-2M

@ s1� 1�#�-,�0� + 1�# ��&(521�5,1 52#%-FS /#%7%�"#�#�& $6#��85PO7RQ5,+ 5 + 7�+.&�S +.$ < 5,&�#%T <6+ : #%$ 5 �7S #�$6&��"< # $'#%7�+kT�!�# �7%#�$ ��& 5 #�-FS #%7%� 5,� �&% 5PO7RQ5,+ 1 59h ��#��85 #%-.S /#%7�� # s������������ ������������������������! ��#" ���! ��$ ��%"! &�' �()����*+ &����(+*,�.-/ ����0(1��20 ��! &�3���+�+4����54!�' 768�!��"! �"��9�:��(;�<������=���!���>�?4!��*,���$ �����(@"��BAC4��� ����,�3�0() �" #�8 �() � ��!���' �����"����+4! ��' ��)�+ �D9�E�+�,�F ���G=���������H()�.I�0*,�J4!�$ @���,�3��20�� ����K� :L2�M ��?� �() H ONP��"! ;���Q� ����*+ �*+���3���!(+���R���S�<������=���!����TP4!�$ @N��0KAP4��� ��U�� ��' ��RN���N����V���V��() ��!"����U ��*+��*+4!"����W�! ?2.��(1"!���������() @"����U�J�"����W�� ��U�' �()�'��*+ ��X����(+*,�.- ����0()��20 ��! ��J20 <N7 ��Y*,��20 ��;"��O �*CZ�'['���0*,(+���;"��O�!(+� F 4!�!"!��" �"���DE�E�+�,�?2.���'�:��()*+ ������\*,�]*+ ��?�WZ���Z�O����+�0(+N7 �"!�����^��4�*,(+���_(+�C��"!��(+���X�O ��!���' ����X"��@��() ��"����_ ��*+��*+4"����H`ba7cdD�����������feP�hg;���iZ4!�+204����$()���,�3���!�!Z �N������]�3��(B��0N7 ��C*+ �(> ��B ��+ ��B"������3��� j+ 7-kI��(+���]�0M ��h�94!��*,��' �����()���B"��hAC4!�l�m���,�3�0() �"���Dn�R�+�,���o�pZ4!�+204!����#()�0�!(+���,���C*+ ��qa�r\st" &�$ ��+�+ m"��u�iZ4�+204!��������� �"!���E ��9Nv=���������)�,���E �����' ����0TC�9AP4��;2.���\*,(1 ��,*+ w2.���V 9�&Z��"!�� 9"��w 0r\sx����,�0(+N� �"! 9�! ��E"!���' ���� �N�����DO�R�+�) $����+�0(+N7 :L2�M ��>2.����6()�' #�#()���+4!�*+ �"��]���!2.���C*,() �"����3��� $ ��yZ �����,�w"��?68�������2.���Y�:��� j, 7-I��(+���U�8 ���() ��!"������� �(��z ��)4!�,*,���C*+ :L2�M ��#"����+�) 9 <N��?���� �(�Z�H���*+��"! w�vM ��' ��3���! ��X ���� �*,�0(y ��y ��+ ��� �() w�8 ��{�P��T!�$ ��_*+ ��?�WZ���| ��$��0N7 ��C*!Z 7-/� ��?`ba�cdD

> s 9 - #,h0��5PO79Q+.#�-�5 � +.& /#�<6$6� 7%5,-�-,Q5,+=&����"<6+ /�A< #�� -IS 5,$65=5�- 5,� #�+kT < +.�"+ : � 5 s�������������#�^�8 �(+*+��(w"��%*+ ��' ��!���u"����9���+�+���'"���4!�} ��!���' �W�.��*+���\*,��TW2.�����u4!�}"!���!���+�+ �4�(+��T�3�P"!�������H"���"!4!K���(H >�' ��+�) >"��o ��!���' �kD'�V� �(+*+��(?"! >�' ��+�) �TG4!�' o�CZ�0()���$"��$�!(+���!()����"! �"����@"�� ��!���$ �\�3��"��E�,�0(~��� F �0()��" _4�*+�����K� ��!"���-/�,�E(+��� :L2�M������ �����&Z�0*,()��20 ��0T\2.�����@ �AC4! ��C*+��"! �"!�W"��U �����'���\*,� l�,�0('���!���0()��"���"!�� �()�� ��'���\*,��TE��*,���'�:�u"!��"!���,���\N����NP���'���\*,�l"��l���?�!()�kM ��%�B l�+4! %"�����+��"! �"���3���4!� �20�����! �kD

��s 9 - #,h0��5PO79Q+.#�-�5 � +.& /#�<6$6� 7%5,-@S + 1A#%& -'#%$ /�A< #�� -IT 5=&�#%1��"7%� T�5�#fT�5 �,#�<6#%$6� T /5,$'�85 s��������20 :L2�M ����~�J�?"!���,���\N����N��0(W4!�x���<N��w����"!��20 ��'���\*,��TP���R�3���+AP4!���) �"���(+���~�!(+��20���+ ��x"��0*,�0(1�'���! �( H"����) ������Q2.��(+()�0*+ O H�,�0(E�'���!���+*,() �"! ; ��O� �20�����\*,�_�J2.���xAP4�� F (+��A��4v=���20�� @��� H"!�0N��y�,�0(E�������0()��"! �D�&� �(+*+��(G"�����AC4 :L2�M������ ������Z�0*,()��20 ��G(+��� �20�����! ��"��_ y������ UNP��" X"��R4!�' y�+4���,*�= ��20�� X���_��(+�� �����+���2.���� ��' ��+�+ l2.��(+�3��() �dTE�����3���+AP4!���) �"���(+���w�3�P"!���}*,���,*+ �(#����N����#�'��"!��20 ������C*,���'����(1 �*,���'����,*+���$ �(y '"����+ ������|2.��(+(+�0*+ ��8 �() '�,�0(+���y�C4!�$ ������O`ba7cdD

� s 9 5 � +.&�#�<6$6�85�&�#%$'#%7�# � &�S +.$'< �59T�7%� 5�< 5,& j /#%& S +.$ -'#%$ �A& � #,T �+.&�#%T�+;� T����.#%$'- 5,� T 5<jA� +.�"+ : �85ag#%-'7%� 5,$6#�7%#%TA1�+ h � 5,�"- -%Q5,+(5,- $6#�-'<6$6�.O7RQ+.#%-nh ��#2+�&�� T�1�+ � / -6� 7�+ � &�S Q+.#*-'+kj�$'#�+.- -'#%$'#%-1�0���.+.- s

9 -6# : ��� $,g.� 5,&�+.-*59T�5,� �"- 5,$ 1����.#%$'- 5,-<h0�A#%-'<%Q+.#%-,g 5 2 & 1�#�#76A#�&WSA� �&2�7 5,$�5 � T .�� �#%T�7��85�h0�A#=5

#%-'7 5,� 5 <6#%& TA+(&���T�1�+�j�� +,��/+ : �"7%+ s

����� ���)�o� � ��� � �o� �)�� ��� � ���� � � �9 � : ��&(5,-@h ��#%- <JQ+.#�-<j��"+.��/+ : � 7%5,- &��A�"< + � T < #%$'#%-'- 59T < #�-�#�h ��# #%- <JQ5,+�$6#��85,7�� +kT 5 1 5,- U5 #%-'7 5,� 5�-,Q5,+6M

0 - +,$oh ��#2+�j #%� 765 � . +.$(/#25 /� TA� 7 5 5��,# h ��#Rg 7%+.&�+=+.- � T�-'#�< +,-%g /#�7 5RS 5�%21�# S 5,�"$ 5,$@TA+(5 $IS +.$

��& �"+kT : +�<6#%&�S +��>

Page 17: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

0 - +,$oh ��#2+ : ��#,S 5,$61A+ /#�+(59T��"& 5,� < #�$6$'#%-'<6$6# & 5 � -"�,#%� +�%��0 - +,$Ih0�A# �A& 5�� +.$'&(� : 5�7�+kT�-6# : ��# � #��,5RT < 5,$�+kjZ7'#�< +,- & ���"< 5,-"�.# %%#�-;&(5,� - S #�- 5,1�+,-oh ��#2#��85�g

#%T�h0��59T < + + -6#%$(! ��& 5RT�+ �"# � 59T < 5 59S #%T 5,-(+kjL7'# < +.-Wh0�A#4<��#�& 59S�$6+?6 � &(5,1 5 &(#,T <6# + -6#��

S #%-6+��0 \ 6 � -'<6#2��& < 5 & 59TA!�+=& /5B6 �"&(+ S�5,$ 5 ��&(5=5 �,#�-'#%$ 7 5RS 5�%21�#��.+ 5 $��0 - +,$oh ��#2��&(5 &(+,-67 5 7�+kT�-6# : ��#fS +,��- 5,$ #�& ��&(5�S�5,$6#�1�#��.#%$ < �"7 5,� �0 - +,$oh ��#2+�#%�"# � 59T < #�h � 5 -6#fT Q5,+ < #�& S0�#%�"+ �[�5,&�+.- < $ 5 < 5,$ 59h ��� 1�#�5,� : �A& 5,-�1�#%-'- 5,- S #%$ : � T < 5 -%g #%T h � 5RT <6+ +.�A< $65,-�-'#%$%Q5 + 1�� -'7%�A<6� 1 5,-

#%& 7%59S / < ���"+.-IS +,-'< #�$6�"+.$6#�- s

����� � �� )� �)���� ����� � ��� � � �� �� �

- 5,$651� 5,7�� � � < 5,$ +�$ 5 7%� +07,/ T�� +�g��,5 &(+.- T�+.- � 5,&�� � � 5,$6�&% 5,$ 7%+,& +�7%+kT�7�#%� < +�1A# -6�"&(�"�85,$'� 1 5 1�# : #�+.& /# < $'���7 5 s N +.� - 59T��"& 5 � - -%Q5 + : #%+,&(# < $6�"7 5,&�#%T <6#�-'� &�� � 5,$6#�- -'# <6+ 1 5 - 5,- 1�� &�#%TA-%Q+.#�- � � T�# 5 $6#%- 1�+]SA$6� &�#%�"$6+

� +.$6#�& � : � 5,� -tU5 -;1�+�-6# : � T�1A+ &���� < � S�� �"7 5,1 5 - S +.$ ��& � 5 <6+.$ 7%+kT�- < 59T <6# s r +kTA-6#%h����#,T <6#%&�#%T < #Rg -'#

��& 1 5 1�+ 5RT�� &(5,� /# >��,#)%%#�-�&(5,� -�5,�"<6+�1A+�h ��# +.�A<6$6+ gA-6� 5,-4/5,$'# 5,- -'#%$%Q5 + � �.# %%#�-�&(5,� +.$'#%-�#2-'� 5

& 5 -6- 5(-6#%$�/5 " �.# %%#%-�&(5,�"+.$�� #%- < 5,&�+.-�7�+kT�-'� 1�#�$ 59T�1A+�h0�A#=5,& j +.-�-,Q5,+ � +.$'& 5,1A+.-<S #%�"+.-�&�#%-'&(+.-

& 5 < #%$'�85,�"-p+ s \ & +.� < $ 5 - S�5,�85��0$ 5,-,g.59TA� &(5,� - : #%+.&�#�<6$6� 7%5,&�#%T < # -6�"&(�"�85,$'#%- +9j #�1�#%7�#%& U5,- -6# : ��� T < #�-$6#��85PO7RQ+.#%- 5,�"+.& /# < $'� 7 5 - B M

����� ,?<���Q�-,�� ��� < , 8�-,�� � � � < B�C�D �/�Q�-, 8� � �� � < C�D �

� �-�� � ,�� � � D � < B �+kT�1�# � /# h � 5,� h ��#%$ &�#%1��"1 5�� � T�# 5,$,gA7�+.&(+�g S +,$ #@6 #%&�S�� +�g�+(7�+.&�S�$6�"&(#,T <6+ 1�+ � �#%&��A$ s

X;5 < ��$65,� &�#%T <6#9g +.- 59T��"& 5 � -<T Q5,+4-,Q5,+ : #%+.&�#�<6$6�"7 5,&�#%T < # -6� &�� � 5,$6#�-%g 1A# �0� 1�+ U5 #%T�+.$'&(#�� 5 �$6�"#%1 5,1A# &�+.$,� +.� /+ : �"7 5 #%T�7�+kT < $65,1 5�T 5 T�5 < ��$'#)%%5 s \=T < $6# < 59T <6+ g �.#w765 &(+.-�5,� : ��T�-(1�5,1�+.-�-'+kj�$'#

&(+,$,� +.�"+ : �85 1�# 5��.#%- 7%+,� #�< 5,1�+.-IS +.$ ��$6#�#%T{�5 �"< # S�� j��"� 7 5 1�+.- #%& @ 3 > >TP �^R M��� ���1����� ,?<�� � 8�98� 8� �A<���� D8D �

/� �+, 8) 8�98� 8� �A< ��� ��� �< 8��� 8) Z��KL� 8 < , � / ����� �*��� ,���� ��� 8 � > ?�? @ < B � � �< 8��� 8) Z� � ,�!� ,?<k� � / ��"�� �*��� ,���� ��� 8 � > ?�? ?A@?> < B � � ?

X #%-6-'#%- 7 5 -6+.-,g 5,-@S�$'# �0� -,Q+.#%- 1 5�-'� &�� �85 $6� 1�5,1�# : #%+,& /# < $6�"7 5 -,Q5,+ &���� < + j + 5,- s 3 5,-,g �.#8765,&(+,-

5 : +.$65 1�+.� - #76 #%&�S�� +.- #�& h ��#�5=-'� &�� � 5,$6�"1 5,1�# : #%+,& /# < $6�"7 5 T Q5 + /#�+kj #%1A#%7%�"1 5�M�#���8 � ,$�w�N� 8.8Z����� 8 � <���� D � �

/���-, 8) Z�%� � / ��"�& �*�'�%, � � 8 � /( � ,=�;�%� � <���� )*� ?+-,/. �'&3"%$1 $�*+(+*=* $� 10%$1*�2, �0+?R*J .",$1 .:7? �� .K%� :C$�*,: :� #��3&3* �� .?B�1 .:� #"%$1&,(+*,:�?9*)�72 �'&546 3*) .:� i 10J?9*J #"%$� F: �0+?9 #�1�L>@ #"%$'&3� ::� #��3&3* �� .?B�1 .:� #"%$1&,(+*,:P?R*,�E(+ 6 �L>I&)�!:.4

Page 18: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

[ #�&(+.- h ��# + #@6aS +0#%T <6# 5,�"+.& /#�< $'� 7�+ S 5,$ 5 + 1�� �5 &(# < $6+ 1�5 5,+,$'< 5 T Q5 + /# + @�u � S�$6#��0� -'<6+

S #��85 -'� &�� � 5,$6�"1 5,1�# : #�+.& /#�< $'� 7%5 # < 5 &WS +.��7�+�+#@6aS + #,T <6#=5,� +,& /# < $6�"7%+WS 5,$ 5 /5,$6#%5�1�+.-�& /�A-67%�A� +.-

/#�>;u � s r +9T <6��1�+ g h � 59T�1A+ T Q5,+�! /5(�A& &�+01�#%�"+�&(5,�"- $'# 27T�5,1�+ g 5(-'� &�� � 5,$6�"1 5,1�# : #%+.& /#�<6$6� 7%5 /#

�A< �"� �&% 5,1 5�7%+.&�+=��& 5 S�$'� &�#%�"$ 5�59SA$6+?6 � &(5PO79Q5,+ #�& S�$'+kj�� #�& 5 - 1�#2#%-67%5,�85 T 5 * �"+.� + : �85 s

��������� � ������� �� ��� � �� ���� ������ ����� � � � �� ����� � � � � � � �� � � � � ���� � � �� �

\ -67 5 �859T�1A+WS 5 $6#%1A#%-

r +kTA-6� 1A#%$6#�&(+,- 5 : +.$65���& 7�+kT^7'� T < +�1�#259TA� &(5,� - : #%+.&�#�<6$6�"7 5,&�#%T < #�-6� &�� � 5,$6#�- h ��#�< #,T < 5,&

-6� jA� $ ��&(5<S 5 $6#%1A# �.#%$ < �"7 5,� s - 5 $ 5*��& 59T�� &(5,� 2 7%5,$ 5,1�#�$6� 1A+WU5]S 5,$'#%1�#Rg /# T�#%7�#%-6-�/5,$6�"+ h0�A# 5 � +.$RO7%5

1�#�5 1�#%$)�#%T�7��85;#,T < $6# 5,- S 5 < 5 - # 5oS 5 $6#%1A# -6#8765�&(5,� +.$ +.� � : � 5,� 5,+ZS #�-6+*1A+�59TA� &(5,� s � S #%-'+*7%$'#%-67�#

S�$6+9S +.$'7%�"+kT 5,�"&(#,TA< #�U5=-'� 5 & 5 -6- 5 s r +9T <6��1�+ g 5�� +,$RO7 5 1�# 5,1A#%$)�#,T�7%� 5 #%T < $'#�5 -IS 5 < 5 - #25 S 5 $6#%1A#

7%$'#%-67�# S�$6+kS +.$'7%� +9T 5,� &�#%T <6#�U5 /5,$'# 5 1 5 S 5,�"& 5�1 5,-IS 5 < 5,-%gA+.�-6#8765�g7S�$6+9S +.$'7%�"+kT 5,�"&(#,T <6#�5 < C�D sN #%-'- 5 � +.$'& 5ag +WS #%-'+�7%$'#%-67�# &(5,� - $�/59S�� 1A+(1�+Wh ��#�5 � +.$RO7%5(1�# 5,1�#�$)�#%TA7%�85 s - #�$67%#,j #�&(+,-%g #,T <JQ5,+ gh ��#9g S 5,$652-'#%$'#%&7 59S�5�%%#�- 1�# < 5,� #%-'7 5,� 5,1 5�g +.-�59T��"& 5 � - 1A# �.#�& < #%$ ��&(5�& 5 -6- 52-6�!2 7%�"#%T < #�&(#,T <6#S #,h ��#%T 5 s X Q5,+ �,5 &(+.-=7%5,� 7����85,$=5Rh0�A�oh � 5 �;-'#%$6� 5 5 &(5,-6-65 & /5B6 � &(5�g 7%+kT < �A1�+�T�+,< 5,&�+.-�h0�A#

59S #%T 5,-�59T�� &(5,�"-�-'� 2 7�� #%T <6#%&�#%T < # S #%h ��#,T�+.-%g 7%+,&(+ � +.$6&�� : 5 -%g�-,Q5,+ 7 5RS 5�%%#�-1�# #�-67%5,�85,$(��&(5

S 5,$'#%1�#��.#�$'<6� 7 5 � s

9 � +.$RO7%5=#2+ < 5 & 59TA!�+ 1�+.- 59T��"& 5 � -

9 $6#%-'� - <��#%TA7%�85�1A#���& < � j + 5 � +.$ O7 5,-*1A# < $65PO79Q5,+ #�7%+.&�S�$'#%-6-,Q5,+ /#tS�$'+kS +.$67�� +kT 5 �nU5 /5 $6# 5�1�5

-6# O79Q5,+ < $659T�-,�,#%$'- 5,��1�+< � j + #9gES +,$'< 5RT <6+ g�/# S�$6+9S +.$'7%�"+kT 5,� 5 < C�D s V;&(5��.# %Wh ��#=��&�5RT�� &(5,�

T Q5,+ S +01�# #76 #%$67�#%$��&(5 � +,$RO7 5 & 5 � +.$ 1�+ h0�A# 59h ��#%� 5 h ��# -'#%� 7�+.$FS + /#47 59S 5$% 1�# -'� S +.$'< 5,$%g5 � +,$RO7 5 & /5B6 � &(5 h0�A#�59T��"& 5 � - : #�+.&�#�< $'� 7%5,&(#,T < # -6�"&(�"�85,$'#%-*-,Q5,+ 7%59S 5�%�#%- 1�#�#@6 #%$'7%#%$ < 5,&tj /#%&

/#�S�$'+kS +.$67�� +kT 5 �;5|< C�D s r +9T�-6#,h����#,T < #%&�#%T <6#9g #%& $6#��85PO7RQ5,+�U5 & 5,-'- 5 1A+ � TA1��&� / 1A��+ g�5 � +.$RO7%5

& /5 6A�"& 5�#@6 #%$'7%� 1�5�1�#�7%$'#%-67�#9g S +,� -

�������� 8����� ��!#"$&%(' !*)r> ���^���� 8< � <� C�D

< > < @1B�C�D ? � @ s >v+

9 <6$ 5�� /#%- 1�#%-'- 52-6�"&WS��"#%- +9j�-6#�$,� 5PO79Q5 + g S +01�#�&(+.- #%T < #,T�1�#%$,gah � 5 � �"< 5 < ��� 5,&(#,T < #9g S +.$=h ��# ��&(5

� +.$6&�� : 5�/#�<JQ5,+ &(5,� -1� +.$'<6# h0�A#��A& -6#�$2!0�A& 59TA+ g #%& $'#%� 5PO79Q5,+ 5 + -'#%� < 5,&(59T�!A+ s�9 2 : �A$ 5 @ s @/#�&���� < +(� T < #�$6#%-'- 59T <6# #�&(+,-'< $65�5 � +.$ O7 5 & /5B6 � &(5�S +.$;� T��"1 5,1�#�1A#�& 5 -6- 5Wh0�A#���/5 $6� +,-*59T��"& 5 � -

#@6 #%$'7%#�& #�& � /5,$6� 5,-25 <6�&�0� 1 5 1�#%-�-'+kj�$6#=+ &�#%� + 5 & j�� #,T < #�5,+ -6#�� $'#%1�+.$ s - #%$'7%#,j 5�h ��#(5�� +.$RO7%5

S +,$ � T�� 1�5,1�#21�#2& 5 -6- 5 � �������� 8����� ��!#"$ %(' !*)2+ 1�� &�� T ��� 7%+.& 5 &(5,-6-65 s

� h ��# /# T�#%7�#%-6-�/5,$6�"+WS�5,$ 5��.+.5,$��5 /5 ��& < 5,& 5RT�!�+ & /5 6A�"&(+nS 5 $ 5 ��& 5 5��.# -6#%$ 7 59S�5�% 1A# �,+ 5,$�� 9 - � T � +,$6&(5PO79Q+.#�- 1�� -.S +9T / �,#%� -

S 5,$65 -6# $6#�-FS +kT�1�#�$ 5 #%-'- 5ph ��#%- <JQ5,+�T Q5,+ -,Q5,+ 5,- &�#%�"!�+.$6#�-%g & 5 - ��& 7%#%T /5,$6�"+ 59S�$6+?6 � &(5,1�+

��� &3G!*)>@ #$��1�!&Z(+*�(+���&)>@ e$��1*](B&Z&)*)��$1&<:C .���&o .:C$ . ( &)(B&<"B* 6 &)?��� $ . G!*� o I&Z&)GL*,>@ e$��1� &Z(B&!�&3�1 .&<(+*%:�>"�. : 6 . GL*%::� #�#�& (B�!: 6 . $1�!( &@"B* 6 &3?$�� $ . G!*&% 4

Page 19: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

������������ �� -��0&3�1� &546 3&)* ( & 2 *,�&46 & .:�?R 6 ���� 6 &�������������! #"�$% #&(')+*-, &/.0 6 *)> &�>I&,:�:1& #>K �&)���!*,: &3" �L>I&3� :.4 � :7&M$��!KJ�!( &)(+ F: 10J .� 6 �!( &): : 3&3*21�2 6 *,���1 #�-34"2.? . G!&)�%3�5 2F? . 0B&3� 0 .> ? . ���'&3�-3 2." &,(B&3�-376 2#K,*,&3�-386 2.&3?9 #��$�*E( &:9,&3�1�'&P(+ 6 &3�'&3";9 . =<5*;3> 2R> *,�1(B #�F4 � :�GL�!"BA &,:i$1�1& 46 &)( &):E: 3&3*@? *)� 46 &BA(CEDGF;H IJCLK +=MON P?B*,�&46 &7AQCRD 8F@CLK +=MON 4 � : 2 *)� 46 &,:E .:C$ 3&)*I #>S _&): >I&):1:1&): #>UTWV94X? *)"%$� ,- � G! �0B&3" (B #�Y�#Z-[7\WI 0^] _7` 4

S +01�#�-'#%$ #�-Fj + O7 5,1A+ 7�+.&�+ -6#-'# : ��# s V - 59T�1A+ 5,$ : �A&(#,T <6+.- 5,#�$6+01�� T �5,&(�"7%+.- ##@6aS #%$'� &�#%T < 5,�"-%gm �A7 +,#%$ SA$6+kS �+,-%g2#%& @ 3 � � g�h0�A# 5 S +,<��#,T�7%� 5�&�#�< 59j /+.�"� 7 5 T�#�7%#�-6- /5 $6�85�S 5,$ 5���& 5�5��.# �,+ 5,$ /#

a2bdc� � > " � ? � < B � � P �NR�s - +.$ +,�A< $'+*�85,1A+ g.5<S +,<��#%T�7��85;&�#�< 59j /+.�"� 7%5 1��"-FS +kT / �.#%�07%$'#%-'7%# &(5,� - 1�# � 5 : 5,$ s^ #�-6��� < 5,1A+.- #76aS #�$6� &�#%T < 5,�"-�� T�1��"7 5,& h ��#�5 S +,<��#,T�7%� 5 &�#�< 59j /+.�"� 7%521A#;$'#%S +.��-6+ /#ZS�$'+kS +.$67�� +kT 5 � 5

< ��� � #�& 5��,#%-%g � + : + g ��&(5 �,#)%th ��# 5WS +,<��#,T�7%� 5(&�#�< 59j /+.�"� 7 5�& /5B6 � &(5 /# 5RS�$6+?6 � &(5,1 5,&�#%T <6#�@ ?

�.# %%#%- 5 1A#($'#%S +.��-6+�g a . � � ) � "� ' !*)&. )�)�H< ��� � g +kT�1�# a . � � ) � "� ' !*)$. )���/#�5 S +,<��#%T�7��85&�#�< 5Rj /+.� �"7 5

& /5 6A�"& 5eP �NR�s \ -6- 5 -;$'#%�85 O79Q+.#�- #%-'<%Q5,+�� � �A-'< $65,1 5,-IT�5 2 : ��$ 5 @ s > s[ #�&(+.-,gRS +.$ < 59T < +�g9h ��#9g9S 5,$ 5 5��.#�- : $ 5RT�1�#%-,g 5ZS +,<��#%T�7��85 &(# < 59j /+,� � 7%5IT�#%7�#%-6-�/5,$6� 5<S 5,$65;+�� �+,+

/#�&(5,� +.$ 1�+ h0�A#=59h ��#%� 5 h ��#�+7%+,$FS + S +01�# � +.$FT�#�7%#�$%g #76A�"-'<6� T�1�+�5,-6-'� & ��& < 5,&(59T�!�+(& /5B6 �"&(+

S 5,$65 ��&(5�5��.# �.+.5,1�+.$65 s N # � 5 <6+ g0- 59j #%&�+.- h ��#25�& 5,�"+.$�5��.#�7 5RS 5�%*1�#1�.+ 5,$(/#*+�+,+,$6� jA��-'< 5,$61 gh ��# < #%& ��&(5*& 5,-'- 5�1�#�@ � + : s 9 �.#�- &(5,�"+.$6#�- 1�+�h ��# #%-'- 5�g 7%+,&(+25�#%&(5*# + 5��.#%- < $'�'%9g T Q5,+2-%Q5 +

7 59S�5�%%#�- 1�#��.+ 5,$ s ^ #(. #76 Q+,#%-�-'� &�� �85 $6#%- S +01�#%& -'#%$ � #%�"< 5,- 7%+.& $'#%-.S #��"< + 5fS�5,� $65,$_T�+�5,$ s 34��� < +.-

1�+.-2� TA-6#�<6+.-��.+ 5 1�+.$6#�-�-,Q5,+ 7 59S�5�%%#�-�1�#�S 5 � $ 5 $]T�+45,$%g #%T�h0��59T < + +.- j #�� 765 � . +.$6#�-�-%Q5,+45,- /� T��"7 5,-

5��.#%- 7%59S 5�%�#%-�1A#�-6#(& 59T <6#%$ �"& /+$�.#%�"- TA+ 5,$tS +.$ ��& � +kT : + <6#%&�S + s - 5 $ 5 7%+,&WS�$'#%#,T�1�#%$�#%-'- 5

+kj�-'#%$,� 5PO7RQ5,+ g � 5,&�+.-259T 5,�"� -65,$�5�2 : ��$65 @ s��as \ � 5 59S�$6#�-6#,T < 54+.-�$'#%-'���"< 5,1�+.-21�#=��& #�-'<6��1�+ 7%+.&

& 5 $6� S +.-65,- s�9 � � TA! 5 � T!� #%$6�"+.$�&�+.- < $ 5 5 S +,<��#,T�7%� 5�T�#%7�#%-6-�/5,$6� 5 S�5,$ 5 S 5 � $ 5 $]T�+ 5,$�#=5-6� S #%$'� +.$

&(+,-'< $65 5nS +,<��#%T�7��85 &(# < 59j /+.� �"7 5 & /5B6 � &(5�gJh ��#=/#�5nS +,<��#%T�7��85 &(# < 59j /+.� �"7 5 1��"-FS +kT / �.#%� S�5,$ 5 #@6 #�$67%#�$

h � 5,� h ��#�$ 5 < ��� �"1 5,1�# s[ #�&(+.- h ��#9g�&(5,�"- ��&(5 �,#)%9g 5 S +,<��#%T�7��85 &�#�< 59j /+.�"� 7%5 T�#�7%#%-'- /5,$'�85 S 5 $ 5tS 5 � $ 5 $ T�+ 5 $�7%$'#%-67�#

& 5 � - $ 5RS�� 1 5 &(#,T <6#�1�+�h0�A# 5 1��"-FS +kT / �,#%� s \ 60< $659S +.�859TA1�+=+ : $ /5$2 7�+ g #%TA7%+kT < $65 � -'#��A& < 5,&(59T�!�+

& /5 6A�"&(+�S�5,$ 5�S 5,�"$ 5,$=TA+ 5,$ 1�#2@�?,? K s \ - < # /#;5RS�$6+?6 � &(5,1 5,&�#%T <6# + < 5,& 5RT�!�+21 5,- &(5,� +.$'#%- 5��.#�-

h ��# S�5,� $65,& TA+ 5,$ s

Page 20: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

��������� �� � -�� G . :5$1�1& 46 3&)*�� . &3G!� $'&M$��!KM& (B& �1 #G &546 3&3* #"%$1�� f&,:I?9*3$�� #" 6 �!&,:I>@ e$1&�� �*)G!� 6 &):o(+ f�1 #?9* . :�*�2 > �&�0+�!>I& "B 6 F:�:��&3�1�!& ? &)�1& K)*%&3�F4

��������� �� � -:�0&)��� &546 3&3*n(B&o?R*)$�� ." 6 � &I>@ e$'&� �*,GL� 6 &I> �&�0J�!>I&n (B&n?9*3$�� #" 6 �!&n> #$1&�� �*)G!� 6 &I"B 6 .:1:��&3�1�!&@? &)�1&n? &3�!�1&)�"B*�&)� 6 *)>&Z>I&,:�:1&o .>�>I&3�1�!?R*%:�&,:#4 � GL�!"BA &<�!"+2 #�1�!*)�=>@*,:C$��'&Z&<?9*3$�� #" 6 �!&Z"B 6 .:1:��&3�1�!&Z? &3�'&Z? &3�!�1&)�c"B*�&3�= I&: . ?9 #�1�L*,�i> *%:5$1�1& & ?R*)$�� ." 6 � & >@ e$1&�� �*)G!� 6 & > �&�0+�L>I&B4

>

Page 21: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

������������ �� - / *3$�� #" 6 �!& >@ e$1&�� �*)G!� 6 &���������� >I&):1:�& 6 *,��?9*)�'&3G% #>&)"B�!>@&)�!: .> �1 #?9* . :�* 4� ���& � 6 * 6 *,"BAB 6 �!(B* 6 *)>@*&��������������������������������� �"!#���e4%$i e$1�L�'&)(+*I(+*@G!�LKJ�1*'&(����*)+!�, ] % ` 4

����- � . � � / �)� �� �- $6+ � 5 �,#%�"&(#,T <6#9g�5 $'#%� 5PO79Q5,+ 5 � +.& /#�<6$6� 7%5 &(5,� -(7%+kTA!�#%7�� 1 5 /# 5 � #���1�# /��"#%� j #%$ s 345B6 /�� #�� j #%$

S�� j��"� 7�+.� g #%& @ 3 � >ag 5 -'# : ��� T < ##%h � 5 O79Q5,+ 5,� +,& /# < $6�"7 5 S 5,$ 5 5 S +,<��#,T�7%� 5 &(# < 59j /+,� � 7%5�� #%T�#�$ : � 5

: 5,- < 5 S +,$�< #%&�S +Z+ 1�#2��& 59TA� &(5,� #�& $6#,S +.�A-6+\P �NR Ma . � � ) � "� ' !*) > � � ? � < ��� �10 � � @ s�� +

+kT�1�# a . � � ) � "� ' !*) #%-'< /54#�& I ��8 � :+ 5� 8 # < #�& ILK s \ -'- 5 $'#%�85 O79Q5,+ -6� : T���2 7 5�h ��#9g 59S #%- 5 $�1�#���&

: 5 <6+ -6#%$=5RS�$6+?6 � &(5,1 5,&�#%T <6# @�?.? �,#)%�#%-�& 5,�"+.$ 1�+ h ��# ��& $65 < + g #�� # : 5,-'< 5 59S #,T 5,- � ? �,#)%�#%-

& 5 � -�#,T�#%$ : �85 S +.$ 1��85 S 5 $ 5 -6#2&(59T < #%$ �0�&�,+ s9 S /+.- +�< $ 5Rj 5,� !A+�1�# /2�"#%� j #�$%g +�5,-'-6� T <6+�� +.� #�-'<6��1 5,1�+ S +.$�&���� < +.-�+.�A<6$6+.- S #�-Fh ��� -65,1�+.$'#%-,g

h ��#�7%+9T 2 $6&(5,$65,& h ��# + #76aS +0#%T < #�5,� +.& /#�<6$6�"7%+ S 5,$65 5�S +,<��#,T�7%� 54&�#�< 59j /+.�"� 7 5 /# 59S�$6+B6A�"& 5 1 5 �&(#,TA< #(? s�� #(1�#�&(+9T�-'<6$ 5,$65,&�-6� 5 � 5,� �"1 5,1�# S 5 $ 5 <6+ 1A+.-2+.-�&(5,&4/ � #�$6+.-�#(5��.#%- s9 2 : ��$ 5 @ s �< +.$.T�+.�!� -6#�� 5,&�+.- 5�# /#27%+9T�!�#%7�� 1 5=7%+,&(+=5 [WY�V S^]e_La V ];c8ad]LaeUWfgU*h,];i1c8U s

9 �"#%� 1�# /�� #�� j #%$ 5 2 $6&(5 h0�A# 5 S +,<��#,T�7%� 5=&�#�< 59j /+.�"� 7%5 #%-.S #�7./ 2�7 5=1�� &�� T ��� 7%+.& 5 &(5,-6-65�g

a . � � ) � "� ' !*) ��� � � ! "$ %p' ! ) > a . � � ) � "� ' ! )< �F< @ ��� �2 � � @ s�� +

+.� -'#w765�g h � 59T < + &(5,�"+.$�+ +.$ : 5RT�� -'&(+ g�&�#%T�+.-=#,T�#%$ : �85 S +,$(7 /#%� �A�85 S +,$�1A�85 #%� # S�$'#%7�� - 5S 5,$65

-6+kjA$6# �0���.#%$�#9g 7�+kT�-'#%h����#%T < #�&(#,T < #9g #�� # S�$6#�7%� -65 7%+,&(#�$�&�#%T�+.-�� #�& $'#%� 5PO79Q5,+ U5 -6��5 & 5 -6- 5v+ s \ &

+.�A<6$ 5,-nS 5,� 5�� $65,-%g�h0��59T < +�& 5,�"+.$�+=+.$ : 59T��"-6&�+ gA&(5,� - # 2 7�� #%T <6# #�� # /# s

Page 22: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

- +.$ �A& j +.& <6#%&�S +�g 5 7%$6#�1��"<6+.�!� -6#oh0�A#*5 S +,<��#%T�7��852&(# < 59j /+.� �"7 5�1�# �,#%$'�85�-'#%$ S�$6+kS +.$'7%� +9T 5,�

U5 /5 $6# 5 -6��S #�$,2 7��85,��g +,� -'#w765�g 5\< C�D s \ -6-65 -6� S +.-'�.O79Q5 + �,#%&�1 5 T�#%7�#%-'-6� 1�5,1�#�1�+ 7 5 � +.$ : #�$ 5,1A+

1�#%T <6$6+ 1A+ 7%+,$FS +�-'#%$ < $ 5RT�-,� #�$6� 1A+�S 5 $ 5 + 5,&tj�� #,T <6# s N # � 5 <6+ g*-'# 5�S + <��#%TA7%�85 &�#�< 5Rj /+.� �"7 5

7%$'#%-67�#%-'-6# &���� < +=&(5,� - $ /5RS�� 1�+�1�+�h ��#�5 /5,$6#%5�-'� S #�$,2 7��85,��g +.-�5RT�� &(5,� - : $ 59TA1�#%-;� $6� 5,& 7�+ %%� T�! 5,$

-6+kj -6��5�S�$�/+kS�$'�85 S�$'+ 1���O79Q5,+�1�#27 5,�"+.$ s- + 1�#�$ � -6#�� �855,$ : ��&�#%T < 5 $]h ��# + #@6aS +0#%T <6#�S�5,$ 55 /5,$'# 5-6��S #�$,2 7��85,�cT Q5,+ /#�>vu � g & 5,-�#%-'< /5

& 5 � - S�$ /+B6A�"&(+ 1�# ? s�� as r +kT <6��1�+ g #76aS #�$6� &�#%T <6+.-�&�+.- < $ 5 & h ��#9g 5RS #�- 5,$ 1�# +,- 59TA� &(5,� -�T Q5 +

-6#�$6#%& : #%+.&�#�<6$6� 7%5,&�#%T < #�-'� &�� �85 $6#%-,g +=#76�S +0#%T < #fS 5,$65�5 /5,$'# 5=-6� S #%$ 2 7%� 5,��/#9g 1A# � 5 < + g ? s > � P �^R�sV & 5��,#)%fh0�A# +=#76�S +0#%T < # 5,�"+.& /# < $'� 7%+ 1 5 S +,<��#%T�7��85 &�#�< 5Rj /+.� �"7 5d� ? s�� +�/#�&(5,� +,$ 1�+�h ��#2+

1 5 /5,$'# 5 -'� S #%$,2�7%�85 � � ? s > � +)g0+.- 59TA� &(5,� - : $659T�1�#�- #%T!� $6#%T < 5,& &(5,� +,$6#%-_S�$'+kj��"#%&(5,- S 5 $ 5�-'#*� ���0$ 5,$

1�+27 5,�"+.$cS�$'+ 1A�'%%�"1�+2� T < #�$FT 5,&�#%T <6# s=d + : +�g 5 � 5,�"< 5�1�#nS0�#%�"+.-=T 5�S #%� # 1A+.- #%�"# � 59T < #�- /# �A& 5 � +.$'& 5

1�#�# �0�"< 5,$25 $'#�<6#%T O7RQ5,+ 1�#�7 5 � +.$ s - 5,$ 5 5�7'��1�5,$ T�+4$'#%- � $6�85 &(#,T <6+ g +.-2#%�"# � 59T < #�- S +.-'-6��#�& 5 � T�1 5

+.$6#�� ! 5 - : $ 59TA1�#%- #�27T 5,- s� #76�S +0#%T < # ? s�� 1 5 S +,<��#,T�7%� 5 &(# < 59j /+.� �"7 5 S #�$6&(59T�#�7%#%� -'#%& #@6aS��"� 7 5 O79Q5,+ 1���$ 5RT <6# ��&

� +kT : +4<6#%&�S + s b +.��- /+ #�& @ 3 3 � h ��# � #%- <Jg�* $'+ {nT #�\=T h ��� - < S�$'+kS���-'#%$ 5 & ��& &�+ 1�#�� +�h0�A#

S�$6#��.�#7%+.$'$6#�< 5,&�#%T < #�+ #76aS +0#%T < # 5 � +.& /#�<6$6� 7�+41A#%-6-65 #�1�#�&��A�"< 5 - +.�A<6$ 5,- : $ 5RT�1�#)%%5,-%g 7�+.&(+ +

1�� �5 &(# < $6+ 1 5 5,+.$ < 5�g 5 � $'#%h���0�#%TA7%�85 7 5,$'1 / 5,7%5 # 5 1�#,T�-6�"1 5,1�# 1�# 7 5RS�� � 5,$6#�- P ^R1s X + S�$ /+B6A�"&(+

7 59S / < �A� + g 1��"-67��A< �"$6#%&�+.-�#�-6-6#(&(+01�#�� +#%& 1�#�< 5,� !�# s [ #�$6#�&(+.-27�+.&(+ #�� # � +.�=j #%& -'��7%#�1�� 1�+4#%&

-6#�� +kjL7'# < ���.+=1�#27%+.&�S�$'#%#%1A#%$;5=+,$6� : #%& 1A# � /5,$'�85,- �"#%�"-�1�#2#%-'7 5,� 5�T 5 * �"+.� + : �85 s

����� � � �)��� � �� )� �� � ����� ��� � �)� � � � ���������

9 +.$'� : #�&1�#�5,� : ��&(5,- $'#%� 5PO79Q+.#�-�5,�"+.& /#�< $'� 7%5,-%g #%T <6$6#�< 59T < + g�S #�$6&(59T�#%7�#�1�#�-67�+kT�!�#�7%� 1�5 s N ��$ 59T <6#T�+.-'-6+�< $659j 5,�"!�+ g0#%- < �&�,#%&�+.-@S 5 $'< �"7%��� 5,$6&�#%T <6#;� T <6#%$'#%-6-65,1�+.- #�& #�-'<6��1 5,$ 5 5,� +.&�#�<6$6� 5 1�+,- +.-'-6+.- s9 � +.$6&(5 7�+.&(+=5 -�1�� &�#%TA-%Q+.#�- 1�+.- +.-'-6+.-�� 7�+.&�S�$6�"&(#,T <6+�#�1�� �5,&(# < $'+Z+ � 5,$'�85,& 7%+,& 5�&(5,-6-65=1A+

59T��"& 5,� /# 5�h ��#�-'<%Q5,+$� 7 !�5 �,# 1�+�T�+.-'-6+=< $659j 5,�"!�+ s\=T�7�+kT < $ 5 & � -6# T 5�"�"< #�$ 5 <6��$ 5�1�� 5,-*<6#%+.$'�85,-;7%+kTA7%+.$'$6#%T <6#%- S 5,$65�#@6aS�� �"7 5,$*55,� +.&�#�<6$6� 5�1�+,-

+.-6-'+.-%g�5 -659j #%$2M45 -6�"&(�"�85,$'� 1 5,1A# : #�+.& /# < $'� 7 5 # 5 -6�"&(�"�85,$'� 1 5,1A#(#���/5,- < � 7%5 s r +.&�+ �,#%$'#%&�+.-WTA+

7 59S / < �A� + � g9T�#%T�! ��&(5*1 5,- 1A� 5,- #76�SA� � 7%5*- 5 <6� - � 5 < +.$'�85,&�#%T <6# +.- $'#%-'���"< 5,1�+.- #76aS #�$6� &�#%T < 5,� - s 9 S #��- 5,$ 1�#nT Q5 +2<6#%$'&(+.- -'� 1�+27%59S 5�%�#%-�1�# � +.$6&��A�85,$ �A& &(+01�#�� + 27T�5,�1g � +.&�+.- 7%59S 5�%�#%-�1�# #%-'< 59j #%� #�7%#�$

��&(5=�"� : 5 O79Q5,+�#,T < $6#�5=5,� +,&(# < $6� 5�1�+,- +,-6-6+,-%g 5=5,� +.&�#�<6$6� 5 1 5 /5,$6#%5�& ��-67����85,$ # 5 � +07%+,&(+ O7RQ5,+ s� S�$'+kj��"#%&(5 1 5;5,� +,&(# < $6� 5�1�+.- +.-6-'+.- -'#%$ /5;1�� -'7%�A<6� 1�+ 1�#�< 5,� !�5,1 5,&�#%T < #lT�+*7%59S / < ���"+ � g,+kT�1A#

�.#�$6#%&�+.-�< 5,& j /#�& 7%+.&�+5 5 � +.&�#�<6$6�85=1 5 /5 $6# 5(&���-67����85 $;-'# 5,7%+9S��85(5,+ S�$'+kj�� #�& 5 s;9 7%+kT�#76PQ5,+

#%T < $'#�5 �"+ 7�+.&(+PO79Q5,+�#=5 5,�"+.&(# < $'�85(1A+.-2+.-6-'+.-2-6#%$�/5 1A� -67��A< �"1 5�T�+ 7 59S / < �A� + � s b � T 5,�"&(#,T <6#9g TA+

7 59S / < �A� + g 5RS�$6#�-6#%T < 5,$6#�&(+.-;5,- 7%+9T�7%�"��-%Q+.#�- 1�+WTA+.-6-'-6+(<6$ 59j�5,� !�+ s

"

Page 23: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ��� �� �O ��� �

� � � � � � � � ��� ��� � � �� � � � ���� � � � ��� � � � � � � � ���� �� � �� � � � � � � � � � �� � � �

X;+ 7 59S / < �A� + 59T < #�$6�"+.$%g�� T <6$6+01��'%%�"&(+,- + 7%+kT�7�#%� < + 1�#�5,� +.&�#�<6$6� 5 #�59S�$6#�-6#,T < 5,&�+.- ��/5 $6� +,- #76 #%&�S�� +.-

1�#��"#%� - 1�#�#�-67%5,�85 T�5 * � +.�"+ : � 5 s X;#�-'< # 7%59S / < ���"+ g 1�� -'7%�A<6� $6#�&(+,-�+�&�+ 1A#%� +WS�$6+9S +.- < + S +.$ � #�-'<Jg* $6+ {nT #t\=T h ��� - <]S 5,$65(5�+.$6� : #%& 1A# � /5,$6� 5,- � #�� - 1�#�#�-67%5,�85 T�5 * �"+.� + : �85`P ^R�s [ #�$6#�&(+.- 7%+,&(+(+

&(+01�#�� + #@60<6$ 5,� ��&(5 -0/#�$6� #�1A# $'#%� 5PO79Q+.#�- 5,� +.& /#�<6$6�"7 5,- 1�# 5RS #,T 5,- < $)�#%- !�� S /+,< #�-6#%- � � TA1 5,&�#%T < 5,�"- s

� ��� � � �W�m� ���� �� ��� � ��� � ���� ������� ��

� #�-'< #�7%+,�859j +.$ 5 1�+.$6#�-IS #�$67�#%j #%$ 5 & h ��#2��& 5 7%5,$ 5,7 < #�$ / - < �"7 5 h ��#2� T���2 7 5�< +01�+.- +,- -6#%$'#%- �0�&�.+,-

/#*5 S�$6#�-6#,T O7 5�1�#;��&(5 $'#%1�#;1�#�1��"-'<6$6� jA���.O7RQ5,+21�#<T �A<6$6� #,T < #%-t� + -6� - < #�& 5 7%� $'7%��� 5 < /+,$6� +�TA+�7 5,-'+ 1�+,-

& 5 & / � #%$6+,-p+ s \ 6aS�� +,$ 59T�1A+*#%-'-6#IS +kT < +�1�# � T��&2�7 5PO7RQ5,+ g.#�� #%- S�$6+kSA��-6#�$ 5,& 5,- -'# : ��� T < #%- -'� S +.-6�#O79Q+.#�-

� � T�1 5 &(#,T < 5,� -,M

@ s 9 $'#%1�#�1�#�1�� - < $6� j����#O79Q5,+�1�#�T �A< $'� #%T <6#%- 1�#��.#�< #�$���& S 5,1�$,Q5,+ 1�#*$65,&(��2 7 5 O79Q5,+�� $65,7�< 5,� 7%+.&

5 S�$6+kSA$6� #�1 5,1�# 1�# S�$'#%#%TA7 !�#%$ <6+ 1A+ + �.+.�"��&�# 1A+ +.$ : 59T��"-6&�+ s 9 � /#%& 1��"-6-6+�g + �.+.�"��&(#

S�$'#%#%TA7 !�� 1�+�#%& 7%5,1 5 #�< 59S 5=1�#2$ 5,&��&2�7 5PO7RQ5,+ 1�# �,#�-'#%$nS�$'#%-6#�$,� 5,1�+ s

> s 9 /���"<6� &(5 $ 5,&��&2�7 5PO7RQ5,+1 54$'#%1�#Rg�h ��#(-%Q5,+ +.-27 5RS�� � 5,$6#�-fTA+47%5,-6+ 1�+.- & 5 & / � #%$6+,-%g�/#=��&(5

� T��"1 5,1�# � T � 5,$'�859T < # � � -6-'+ -'� : T���2 7 5 h ��# + $ 5 � + # +�7%+.&�S�$6�"&(#,T < + 1�+.- 7 59SA� �85 $6#%- # 5

�.#�� +07%�"1 5,1�#�1�+ -659T : �A# #(541���� #%$6#,T O7 5 1�# SA$6#%-'-%Q5,+�T�+.- 7%59S��"�85,$'#%-2-%Q5,+4� T�1A#%S #%T�1�#,T < #%- 1�5

&(5,-6-65=1A+(&(5,&4/ � #%$'+Z+ s��s 9 #,T�#%$ : �85 : 5,- < 5 S 5 $ 5 1��"-'<6$6� jA��� $ +.-�T0� < $6�"#%T < #�- /# 5�&(#,T�+.$ S +.-'- / �.#%�e� #�-6- 5 !A� S /+,<6#%-'#

-6� : T���2 7 5 h ��# 5 $6#�1�# -6#%$�/5 < 5,�Ih ��# 5 � &�S #%1 �59TA7%�85 <6+,< 5,�fU5 S 5,-'- 5 : #%& 1�+ . ���"1�+ -'#w765 5

&�#%T�+.$IS +.-'- / �,#%� + s

3

Page 24: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

X;5 < ��$65,� &�#%T <6#9g #�-6-65,- !�� S /+,< #�-6#%- -%Q5,+ 7'�A-'< ��2 7 5 1 5,- S #%�"+ -6�A7%#%-'-6+ 1�+ &�+ 1A#%� + s 3 5 -%g 5,� /#%&

1�� -'-6+ gfS + 1�#�&(+,-4< 5 & j /#%& 7'��- < �&2�7 /5 � �85,-41�# +.�A<6$ 5 � +,$6&(5 s V & 5 �,#)% h ��# <6+ 1 5 - 5,- 7 /#%�"���85,-

S�$6#�7%�"- 5,& $6#�7%#%j #%$ 5 � � &�#%T <6+ g05�$6#%1A#*1�#*1��"-'<6$6� jA���.O7RQ5,+ 1�#��.#27 !�# : 5,$ 5 <6+ 1�+,- +.-@S +kT < +,-�1�+ 7%+,$FS +

1�+�� T�1���� / 1���+ g�7�+.&(+ #%- < /5 7%+.�"+ 7%5,1�+nT 5ZSA$6� &�#%�"$ 5 !�� S /+,< #�-6# s 9 -'-6�"&�g 7%+.&�+ +;-'� -'<6#%&(5 7�� $'7%��� 5 < /+.$'� +

5,-6-'#%&�#%�"! 5 � -'#2$6# 5 � &�#%T < #25 ��& � $65,7�< 5,�1gA5�SA$6� &�#%�"$ 5 -'� S +.-6�#O79Q5,+ /#�j 5,- < 59T < # -6#,T�- 5 < 5 s9 -6# : � T�1 5 !A� S /+,<6#%-'#�S + 1�# -6#�$ 7'��- < ��2 7 5,1�5 S +,$(+kjA-6#%$ � 5PO79Q+.#�-�#@6aS #%$'� &�#%T < 5,�"-(1A#�h ��# 5 -

1�� &�#%TA-%Q+.#�-�1 5,-�7 /#%�"���85,- #�1�+.-�7%59S��"�85,$'#%- 1A#�1��&� #�$6#,T <6#%- &(5,&4/ � #%$'+.-fT Q5,+ 1�#,S #,T�1�#�& 1 5 &(5,-6-65

7%+.$.S +,$ 5,�kP �NR�s b � T 5,�"&(#,T < #9g,5�< #�$67%#�� $65*-6� S +.-6�#O79Q5,+ /# j #�& � T <6���"<6�&� 5 s \ �85*$6#�-'<6$6� T : # 5*$6#�1�# � $ 5 7�< 5 �1g1�#%T <6$6#25,-"� /5,$'�85,- S +.-'-6� j�� �"� 1 5,1A#%-%g05�$'#%1�#�-Ih0�A#�$6#%-'���"< 5,& #%& ��& 5�#%7%+9T�+.&��85 1�#�#%T�#�$ : � 5tS 5,$65�+

59T��"& 5,� s \ -'< 5 /#Rg -6#�& 1*/� �0� 1 5ag���&(5=7%5,$ 5 7�< #�$ / -'< �"7 5�#�-FS #%$ 5 1 5(#�& +.$ : 59T�� -'&(+,-"�0�&�.+,- s[ /5,$6�"+.- -'� -'<6#%&(5,- j��"+.��/+ : � 7�+.-WS +.-'-6��#�& $6#�1�#%- 1�# 1A� -'<6$6� j����.O7RQ5,+ g�7�+.&�+ gnS +.$ #@6 #%&�S�� +�g +,-

-6�"-'< #�& 5 - $6#%-.S�� $65 < /+,$6� + #�7%� $'7%��� 5 < /+,$6� +�1�+.- &(5,&4/ � #%$'+.- #�+=-'� -'<6#%&(5�� 5,-67����85,$ 1�#21�� - < $6� j����#O79Q5,+�1�5

-6#��&� 5 #%& S�� 59T < 5,- s r +kT < ��1�+�g ! /5���/5 $6�85 - 1��&� #�$6#%T�O7 5,- #%T <6$6# #%� #�- s � - < � j +.-IS + 1�#�& -6#�$ #%��/5 -'< �"7%+.-

� 5,$ < /#�$6�85 -p+ +.�$%/ : �"1�+.-Q� #%& S��85RT < 5,-p+3gA+/. �A� 1�+ S 5 $ 5 < $659T�-.S +.$ < #�1�#�T �A<6$6�"#%T < #�-IS +01�#*-'#%$ � / h0�A� 1�+

� -659T : ��#=+�+.� : 5,-6+,-6+T� 5,$p+ #*5tT�5 < ��$'#)%%5 1�+tj +.& j # 5 &(#,T <6+tS + 1A#�-6#�$ S��A� - 5RT <6#b�5T�+.-6-'+ 7%+.$65PO79Q5 +Z+)gS +,$ 1��&� ��-,Q5,+ � <6$ 59h � /#��85 1�+.- � TA-6#�<6+.-p+�+.� S +.$IS�$'#%-6-,Q5,+ 1A# � 59S +.$'#%-��CS�� 59T < 5,-(+ s

� j�-'#%$,� 5PO7RQ5,+OM�X;+;&(+01�#�� + 5;-'#%$ SA$6+kS +.-'<6+ g,7�+.&�S�� �"7 5PO7RQ+.#%-,g 7�+.&�+�#%- < $'#%�"< 5,&�#%T < +;1�+.- < � j +.-%g< ��$.j���� �#%T�7��85 # T Q5,+$� � � TA# 5,$'� 1 5,1A#%-%g0-6#�$%Q5,+�1�#�-FS�$'#)% 5 1 5,- s

� ��� � � � � � �9 $'#%1�#1�# 1�� - < $6� j����#O79Q5,+ 1�+.- T �A<6$6�"#%T < #�-�#%- < /5 � �"��-'<6$ 5,1�5�T 5 2 : ��$ 5 > s @ s \ �85 /#(7%+.&�S +,-'< 5�S +.$

G � @ : #�$ 5PO7RQ+.#%- 1�# < ��j +.- s \ & ��& T / �,#%� IPg05 �.#�� +07%� 1�5,1�# & /#%1�� 5*1�+ . ��� 1A+ /# 5�# +.- <6� j +,- <��#%&

7%+.&�S�$'� &�#%T < + � 5Rg $65,� +e� 5 # #%- <JQ5,+-'� j�&�#�<6� 1�+.-25��A& 5 1A�&� #%$'#%T O7%5�1�# S�$'#%-6-,Q5,+�� �E5 s 9 +�S 5 -6- 5 $

1�+ T / �.#%�kI%( @�S 5,$65 + T / �.#%�kIPgA7%5,1 5���& 1�+.-�<6� j +.-�-6#�$ 5,&��&2 7%5 #%&%< 5;< � j +.-�&�#%T�+,$6#%- s_d + : + g+�T*/��&(#�$6+=1�#�< ��j +.-ITA+WT / �.#�� I /#

G95 > < B < < D ?=?=? < 5 >5���� �< � ? � > s @�+

9 $65,&��&2 7%5PO79Q5,+;1 5�$'#%1�#IS + 1A#�-6#�$ 7 5,$65,7�<6#%$'� % 5 1 5]S #�� +.- � 5 < +,$6#%- 1�#�#%-'7 5,� 5 45 # :E5Rg.1�# 2 T�� 1�+,-

7%+.&�+

45 > � 5�� B� 5 # � > s >v+

:E5 > �?5�� B�?5 ? � > s�� +� j�-6#�$,�.# h ��#�4 5�#=:E5�-,Q5,+ 5 & j +,- &(#,T�+.$6#�-Ih ��#(@2# h ��#�< 5 /#2& 5 � +.$ h0�A#(@ s

��&��� � � ��� � � �� ����� � ����� T � � ������� � V;& � $ 5,7 < 5,� h ��#�S�$'#%#%TA7 !�# < +01�+ + #%-.S 5PO7�+ 1�+ +.$ : 59T�� -'&(+ /# ��&(5 #%- < $'�A< ��$65 T 5 <6��$ 5,� S 5,$65

: 5,$659T < � $<h0�A#�<6+ 1 5 -�5 - 7 /#%�"���85,-�-,Q5,+ -6#�$,�0� 1 5 -�1�#�T �A<6$6� #,T < #%-fS #%� +,- �,5 -6+.- 7 59SA� �85 $6#%- s V;& <6� j +

@�?

Page 25: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

���������� � �� - � G . :C$��'&546 3&3*@(+*@> *+(+ .GL*R4

T�+�T / �,#%� I 5 � � &�#%T < 5���& : $'� S +�1�#27 /#�� ��� 5,-%g7h ��# -6#�$ /5=7 ! 5,&(5,1�+�1�# �.+.�"��&(#�1A#�-'#%$,�0�#O7%+ s r +.&�+

+=7%+.&�S�$6�"&(#,T < + � 5�1�#���& <6� j + /#�& ���"<6+�& 5 � +.$ h0�A# + -'#%� $ 5,�"+��?5Rg�+��.+.�"��&�#*1�#2-6#�$,�0�.O7�+�1A#%-6-'#

< � j + S + 1�# -6#%$�59S�$6+?6 � &(5,1�+�S #�� + �,+.� ��&�# 1A#��& 54#%-,� #�$ 5 1�#$65,� + � 5 :,> s 9 -'-6� & g 5 -'+.& 5 1A+

�.+.�"��&�# 1�#4-6#%$ �0�.O7%+ 1A#4< +01�+.-(+.- <6� j +,- T�+�T / �.#��tI/#�� ��� : � +2��� 52:.>v+ D G95 s - 5,$65 ��& T*/��&�#%$6+

< +,< 5,� 1�#�$ 5 &(��2 7 5PO7RQ+.#%-QG : $ 5RT�1�#9g #%-6-65�#%- < � &(5 <6�&� 5WT Q5 +�1�#%S #%TA1�# -6� : T��&2�7 5 <6�&� 5,&�#%T < # 1�+�T / �.#%�

#%-.S #�7./ 2�7%+dIPg -6+kjA$6#�<6��1�+(-6#�I /# : $ 59T�1A# s 9 !�� S /+ < #%-'#=@ 1A� %�h ��# + � $65,7�< 5,� 1�#��.#fS�$6#�#%T�7 !A#%$;<6+ 1A+

+ �.+,� ��&�# # h ��# #%-6-'#��.+.�"��&�# 1�#��.# -6#�$]S�$'#%-6#�$,� 5,1�+1A#���& T / �,#%� S�5,$ 5 +,�A< $'+ s \ & � � T : � 5 : #�&

& 5 < #%& /5 <6� 7 5ag #�-6- 5�!�� S /+,< #�-6#�2 7 5=#@6aS�$'#%-'- 5(7�+.&�+

����� � 5�� B

>�� D G�5�� B > ����� � 5

>�� D G�5 � � > s�� +

h ��#��"&WSA� � 7%5

4 D5 > G95G95�� B

> < @1B5�� B ? � > s! +

9 � 5�%9Q5 +��=5 T ��& <6� j + /# 1�# 2 T�� 1 5�S +.$���5�> � ��5 5 g +kT�1�# �?5 /#2+($65,� +=1�+�< � j +�# 5 /#�5

�.#�� +07%� 1�5,1�# & /#�1��85=1�+ . �A� 1�+�T�+�� T <6#%$'� +.$ 1�+�< � j + s N # �0� 1A+U5(7�+kT�-'#%$,� 5PO7RQ5,+�1�+ . ���"1�+ g 5�� 5�%9Q5 +

< +,< 5,�;/# 5 &(#�-6&(5 #%& <6+ 1�+,- +.-nT / �,#%� -,g +.� -6#8765�g� � > G95��5 > G�5 � � 5 5 > G� � � � � � > s >+

+kT�1�#�G /#�+ T*/��&(#�$6+ 1�#�7%59S��"�85,$'#%-%gL�� /#;+�$ 5,�"+�1A+.- 7%59S�� � 5,$6#�- #� � /#�5 �,#%� +07%�"1 5,1�# 1�+�-659T : �A#

T�+.-*7%59S��"�85,$'#%- s;9 !�� S /+,< #�-6#�> 1 5 -6# O79Q5,+ > s @��"&WSA� � 7%5 h0�A#b�� # � -%Q5 + : $ 59TA1�#)%%5,-*� T � 5,$'�859T < #�-%g� - < + /#9g7T Q5 + � 5,$'�85,& 7%+.& 5�&(5,-'- 5 s - +.$'< 59T < + g�<6#%&�+.-Ih ��#

� � � G� � > s!� +

r +.&�+ +6. ��� 1A+ < $659T�-FS +.$ < 5 +?6 � : �#,T�� +(# T �A< $'� #,T <6#%-]S�5,$ 5 + &(# < 59j +.� �"-6&�+ g7S + 1�#�&(+,-�1��&%%#%$

h ��# 5 < 5B6A5 &(# < 59j /+,� � 7%5z� a . � � ) � "� ' !*),+ /#�S�$6+kS +.$'7%� +9T 5,�fU5� 5�%RQ5,+ 1�+ . ���"1�+ � a . � � ) � "� ' !*) ��� � +)g@.@

Page 26: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

S +,� - 5�< 5B6A5�7�+.& h ��# +.-lT0� < $6�"#%T < #�- -,Q5,+ #%T < $'# : ��#�-�1�#��.# -6#%$lS�$'+kS +,$67%�"+kT 5,� U52< 5B6A5 7�+.& h ��#;#�� #�-

-%Q5,+ 7�+kT�-'��&(�"1�+.- s ` � S +kT�1�+ h ��# 5 < 5B6A5 &(# < 59j /+.� �"7 5 S +01�# -6#�$�1�#�-67%$'�"< 5�S #��85 �"#%� 1�# #%-'7 5,� 5

a . � � ) � "� ' ! ) � < ) g2��- 5RT�1�+ 5 #%h � 5PO7RQ5,+ > s�� # 5�SA$6+kS +.$67�� +kT�5,� �"1 5,1�# #,T <6$6# a . � � ) � "� ' !*) # � � g+kjA<6#%&�+.-

G �A< ) ? � > s�" +� �A<6$ 5 : $659T�1�# % 5 � &�S +.$'< 59T < # /# +�.+.�"��&(#(< +,< 5,� 1A# . ��� 1A+ � � S�$'#%-'#%T < # T 5 $'#%1�# s \ � # /#

1 5,1�+�S +.$

� � >�5 � �

G95 � � 5 � 5 ? � > s�3 +

��&� � �� �� � ��� ����� � �� � � � � � ����� � � ������� � � �� ��� ��� � �

[�5,&�+.- �,#%$ 5 : +.$ 5�h � 5 � - -,Q5,+ 5,-�7%+kT�-'#%h���0�#%TA7%�85 - 1 5 -6��S +.-'�.O7RQ5,+ � 1 5 -'#aO7RQ5,+ > s @~� &�� T��"&(�&% 5PO7RQ5,+

1 5 #%T�#�$ : � 5+ s r +kT�-'� 1�#�$6#�&(+.- + . �6A+ 1�# ��& . ���"1�+ �0� -67�+.-6+ � T�7%+.&�S�$'#%-6-%/ �,#%��T ��& <6� j + 1A#

7%+.&�S�$'� &�#%T < + � 5=#=$ 5,�"+T�?5Rg -6��j�&(# < �"1�+ 5��& : $ 5,1��"#%T < #=1�#�S�$'#%-6-,Q5,+�h ��#�+.-'7%� �"# T�+ < #%&�S +�� +� +.$6&(5,�"� -6&�+=1 5 !��"1�$6+01�� T �5,&�� 7 5 T�#�7%#�-6- /5 $6� + 5(#%-6-'# #%- < ��1�+#�-'< /5 T�+59S0�#,T�1��"7%# 9 + s `0#�+�$ 5 � + 1A+

< � j +�� +.$]S #%h ��#,T�+ g < #�&(+,-�h0�A#=5�1��&� #�$6#%T�O7 51�# S�$'#%-6-,Q5,+ � �;5�#%T < $'#�5,-*#@60<6$6#%&�� 1�5,1�#%-�1A+ <6� j +

S +01�#�-'#%$ #%-67�$6� < 5 7%+.&�+ � #,h0��5PO79Q5,+ 9ts > @kg 5RS �#%T�1A� 7%# 9 +

� �E5 > "�� � 5� � 05 ��5 #76aS �( ��� � ( � + ? � > s @�?+

\ -'< 5 #,h0��5PO79Q5,+ /# 7�+kT�!�#�7%�"1 5 7%+.&�+ �"#%��1A# - +.�"-6#���� �"� # s r +,&(+ � �E5z> 5 �=5 B g < #�&(+.- h0�A# 5

� &�S #�1 �59T�7��85 !�� 1A$6+01�� T �5 &(�"7 5 1�#4��& < � j + /# 5|> "�� � 5=: � � 05 s 9 -'-6�"&�g 5,-'-6��&�� TA1�+ h ��#4#%-'<6#

$6# : � &�#*-6#8765 � /5,�"� 1�+ S�5,$ 5=5=$6#%1A#2<6+ 1�5�g 5 � &�S #�1 �59T�7��85�1 5 $'#%1�# � T < #�� $65�-6#%$�/5

� B >�5 � �

5G�5 >

�5 � �

"�� � 5� � 05 G95 ? � > s @.@�+

�*� 59TA1�+*+�$65,� +;1�+�<6� j +4/# : $659T�1�#Rg 5;#,h0��5PO79Q5,+ 9 s > � 1�+�59S0�#%T�1��"7%# 9 T�+.- � +.$FTA#%7%#�5�-6# : ��� T <6##%h � 5PO7RQ5,+�S 5,$ 5=5=1��&� #�$6#,T O7 5 1�# S�$'#%-6-,Q5,+ � �E5NM

� �E5 > � � � 5� � 5� �=5 #76�S ��(���� � ( � �>+ � � > s @�>v+

h ��#2� &�S�� �"7 5 h ��#� 5 > � � � 5=: � ��5� s N #%-'- 5�� +.$'& 5�gA5 � &�S #�1 �59T�7��85 1 5�$'#%1�#2� T <6#%�"$ 5 T�+=7 5 -6+=#%&

h ��#�+=$65,� + 1�+ <6� j + /# : $ 5RT�1�# /#

� >�5 � �

5G95 >

�5 � �

� � � 5� � 5� G�5 � � > s @ � +

7%+.& > � : � -6#,T�1�+�5�� $'#%h �0�#%TA7%�85=1�#2+.-'7%� � 5PO79Q5 + s+�� :�:1& � . &546 3&3* � <&t�1 #G &546 3&)*f(B&tAB� (+�1*J(B�L"$�&)>@� 6 & &)" �&3G!*79%&��&f�1 #G &546 3&3*�� D���� (+* #G! e$1��*,>@&79)"B #$�� :C>@*R4 �

(+�L2 #�1 #" 46 &c(+ i?B�1 .:1:13&)*�������2)&c�!> ?9 .($�&3" 6 �!& AB� (+�1*J(B�L"$�&)>@� 6 & ���� i&cK &"!&3&)*�#$��: 3&3*�2)�� F:C?9 6 $��!K &)>@ #"%$� 23*,:7&)" �&3G!*79,*,:(B&@(+�L2 #�1 #" 46 &@(+ =?9*3$� ." 6 � &3G%� 2 (B&@�1 .:��!:C$�� #" 6 �!&l #G � e$1��� 6 &&� _(B& 6 *,���1 #"%$1 � .G � #$��1� 6 &'�R4

@�>

Page 27: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

r +kTA-6� 1A#%$6#=+ -6�"-'<6#%&(5 &(5,�"-�-6� &�S��"#%-2M���& . ���"1�+ #%-'7%+ 59TA1�+ � 5,&(� T 5,$'&(#,T <6#9g 7%+.&�5�"&WS #��1 �59T�7��85 � B s 9 #%T�#�$ : � 5�� : 5,-'< 5�S #%� + 7%+.$65PO79Q5,+�S 5,$ 5�j +.&tj #%5,$ + -659T : �A#1�#%S #%T�1A#1�# < +01 5,-

5,- � 5,$'��/5$�,#%� -�$6#%�"# � 59T < #�-�# /#�1 5,1�5 S +.$ �� �*�?5 � � 5 � < 5 � < +�> � B � � s - 5,$65�& 5RT <6#%$*�A& 5 < 5B6A5

&(# < 59j /+.� �"7 5�� a . � � ) � "�� ' ! )$� � � + 1 5,1 5<T ��& +.$ : 59T�� -'&(+ 1�# &(5,-6-65t< 7%+,& ��& �.+.�"��&�# 1�#�-659T : �A#

� � � < + 1 5,1A+ g + S�$6� T�7./ S�� +�1�# &�� TA� &�� % 5 O79Q5,+;$6#%h ��#�$_h0�A#�� -6#8765 &�� T��"&(�&% 5,1A+;-'�^7'#%� < + U5�$6#%- < $'�.O79Q5 +

1�#�S�$'#%#%TA7 !�� &�#%T < + 1�+ �,+.� ��&�# s V <6� �"� % 5 $6#%&�+.- 5 < /#�7%T��"7 5 1�+.- & ���"<6� S��"� 7 5 1�+.$6#�-�1A# d 5 : $ 59T : # sr +kT�-'� 1�#�$ 59T�1A+ h0�A# � � /#�7�+kT�- < 59T < #Rg &(� T�� &�� %%5,$�5 #%TA#%$ : �85�� /#�#,h0�A�&� 5,� #,T < #5 &�� TA� &�� % 5 $25

� &�S #�1 �59T�7��85 � B s 9 -'-6�"& 5 � ��T O79Q5,+�5,�6A�"� � 5,$�5 -6#�$;&�� TA� &�� % 5 1 5�� /#�1�5,1 5�S +.$

� > � B � �?5 � � 5 � < 52+ ��� P � � � � 5 � � 5 � < 5=+ ( � � � < + R ��5 � �

�E5=G�5 � D5 �����`� < ( < � + � � > s @ � +

�A>�5 � �

"�� � 5� � 05 G95 ��� P �5 � � G95 � � 5 � 5$( � � � < + R ��5 � �

�E5=G�5 � D5 ����`��< ( < � + � � > s @ ++kT�1�#�ig� 5�#��� -%Q5,+�+.- &���� < � S�� �"7 5,1�+,$6#%- 1�# d 5 : $ 5RT : # s

r�5,�"7%��� 59T�1�+�� �b�F> ?�g +kjA<6#%&�+.-

� � L< > ���

> 7%+kTA-'< 5RT <6# � � > s @ >+h ��#tT�+,-;�"# � 5 U5=� &�S +.$'< 59T < #�7%+9T�7%�"��-%Q5,+�1�# h0�A#�+��.+.�"��&(#21�# - 5RT : ��# /# SA$6+kS +.$67�� +kT�5,� U5(&(5,-'- 5�g+.� -6#w765ag

� � �F< ? � > s @ � +\ & j +,$ 5�� - < +�T Q5,+2#�-'< #8765 5$2�$6&(5,1�+�T�+ 5,$ < � : +�1�# � #�-'<tUWc ];f s P ^R g #%-'-6# $6#�-6��� < 5,1�+ /# 59S�$'+?6A�"& 5 1�+ g7�/5 h0�A# 5�� 5�%9Q5 + � � < 5,& j /#%& 1�#,S #,T�1�# 1 5=& 5,-'- 5 s

[�5,&�+.-�7%+kTA-6� 1A#%$ 5 $%g 5tS 5,$ < � $ 1�#�5 : +.$65�g h0�A#*5 &(5,-6-65 /# 7%+kT�- < 59T <6#*#�7%5,� 7����85,$ 5,- 1�#%$'�&� 5,1 5,-

1�# � #%& $'#%�85 O79Q5,+ 5,+ $ 5,�"+ �?59g 5,+ 7%+.&�S�$'� &�#%T < + � 5 # 5,+S 5,$ �5 &(# < $6+ 1�# $65,&(��2 7 5 O79Q5,+*< 5 s 9

S�$6�"&(#�� $65 1�#%$'�&� 5,1 5 ��� ���2� > ?+ T�+.- � +.$.T�#%7�#

�`> @ > �� � �5 G 5 ? � > s @ " +

r +.&�+���T Q5 + 1�#%S #%T�1A# 1�#~IPg < #%&�+.-Wh0�A# �?5 � G�5 > � �?5 � B + � � G95�� B + > 7%+kTA-'< 5RT <6# s r +.&�+

:E5 > �?5�� B :N�?5�#=< 5�� B > G�5�� B :2G�5Rg +9jA< #�&(+.- �"&(#�1��85 < 5,&�#%T < #Zh ��#�+ � 5 <6+.$ 1�#2#%-'7 5,� 5 :E5 /#

:E5 > < @1B�C�D5�� B ? � > s @ 3 +9 5�� 5,� � 5PO79Q5 + 1�#�� ��W�A> ? � +.$FTA#%7%# h ��#

�E5 > ( "��� � 05 G 5 � 5 ? � > s >,?+

9 S�$'� T�7,/ S��"+ g�� 5�1�#,S #,T�1�#�1�#dI #WT Q5,+�S +01�#%&�+.-2< � $65,$ T�#%TA!0�A& 5 �"&�� +,$6&(5PO79Q5,+1A#%-6-65 $6#��85PO7RQ5,+ s\=T <6$6# < 59T < +�g � #%- < # 7�+.�85Rj +.$65,1�+.$'#%- 5$2�$6&(5,& h ��#�5=5��,5 � �85 O79Q5,+�1A#��/��,�A> ? � +,$FT�#�7%# h ��# P ^R

45 > < @1B�C�D5 � B ? � > s > @�+� � :1:�&< � . & 46 3&)* � I&<�1 #G &546 3&)*<( &]AB�!(B��*+(+�!"$�&3>@� 6 &]&3" �&3G!*79,&��&<�� .G!& 46 3&)*��UD ��� � ? &)�1& . > 6 �!� 6 . �L$�*] #G � e$1��� 6 *%2*," (+ �� � &@ ."B #�O9)� &l .G � e$��1� 6 &P9,&):C$1&�2�� � =& �� F:C� :5$�� #" 6 � &_ #G�� #$��1� 6 &l $� � =& 6 *,���1 #"%$1 � .G � #$��1� 6 &B4

@ �

Page 28: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

9 S #%-65,$;1A# T Q5 +(< #�$6&�+.- +kjA<6� 1�+�5($'#%� 5PO79Q5,+�5,7�� &(5 #%T < $'#94 #�< 1�5 � +.$'& 5 -'� : #%$'� 1 5�S +,$ � #%- < UWc];f g -659j #�&(+,-<h ��# #%� 5 /# �,#%$'1 5,1�#�� $ 5ag S +.� - 7�/5 +kjA<6�&�.#�&(+,-�#%-'- 5�$'#%�85 O79Q5,+5RT <6#%$'� +.$'&(#,T <6#`� #%h � 5PO7RQ5,+

> s� + s[�5,&�+.- 5 : +.$ 5 7%5,� 7����85,$�5=1A#%$6��� 5,1 5���� �2� > ? s V;-659T�1�+(5 #%h � 5PO7RQ5,+> s @kg < #%&�+.-Ih ��#

� G�5�E< '

> � ? M ����I ?����� M ��� I � � > s >.>v+

r�5,� 7����85RT�1�+������ �A> ?ag #%T�7�+kT < $ 5 &(+.-Ih ��#

� ��E< '

> (�5 � '

" � � 5� � 05 G�5 < ' ����5 � '� � 5 � 5 G�5< ' �

�5 � '

� 5 � D5 G95< 'S�5,$ 5 � > ? � @ ?=?2? G ? � > s > � +

` � jA<6$ 5,� T�1�+ 5 #,h � 5PO79Q5 + S�5,$ 5 �`> I � @ 1 5 #,h0��5PO79Q5,+�S 5 $ 5 �T> I S + 1A#%&�+.-�$6#�#%-'7%$6#��.#�$45 -

#%h � 5PO7RQ+.#%-;5,7�� &(5�7%+.&�+

"�� � 5� � 05 G�5 < ' ( � � � 5 � 5 G95< ' ( �E5 � D5 G95< ' > ? � S 5,$65dI.> ? � @ � ? ?�? � G � � > s > � +

h ��# T Q5,+ � +.$FT�#�7%# T�#,T�! ��& $6#�-6��� < 5,1�+�T�+ �.+ s� #%- <�#27%+,�859j +.$ 5 1�+.$6#�- 5$2 $'& 5,& h ��#9g 7 5,�"7%��� 59T�1�+ � -6# ��� �,� > ?�g #,T�7%+9T <6$ 5 � -6#fh ��#9< 5Q> <

P �R1s \_T <6$6#�< 59T < + g ��� �2� > ?�T�+.- �"# �,+.� 54��&(54<6$6�&�0� 5,� �"1 5,1�# � #%h � 5PO7RQ5,+ > s > � + s 9 -'-6�"&�g �,5 &(+.-

59S #%T 5,-(5,1�&��"<6� $ h0�A# #@6 �"-'< # ��& /� TA� 7%+ � 5 <6+.$ 1�# $ 5,&��&2�7 5PO7RQ5,+ s \ & +.�A< $65,-�S 5,� 5 �0$65,-%g �,5 &(+.-

-6� S +.$nh ��#=< 5 > < s V < �"� �&% 59T�1A+�#%-'- 5(-'� S +.-6�#O79Q5,+ g < #%&�+.-nh ��#

4`> : > < @1B�C�D ? � > s > +

r�5,-'+�+ -6�"-'<6#%&(52-'#w765 7 5,$65,7�<6#%$6�&% 5,1A+fS #%� 5�� &�S #�1 �59T�7��85 � S 5,$65*< +01 5�52$6#�1�#9g +kj < #%&�+.-,g �0� 5

��&(5=&�� TA� &�� % 5 O79Q5,+ -6�"&(�"�85,$ 5�h ��# � +.� � #��"< 5�g�h ��#

:E5 > < @1B�C 5�� B ? � > s > >+`A59j #%&�+.-%g<S #��85 #%h � 5PO7RQ5,+ > s! gZh ��# 45}> < @1B�C�D5�� B s 9 -'-6��&�� T�1A+�T�+ � 5,&�#%T < # h ��# 5 $'#%1�# -6#87657 5,$65,7�<6#%$'� % 5 1 5 S #��85 $ 5,&��&2�7 5PO7RQ5,+ /� T��"7 5 < 5 > <�g +kjA<6#%&�+.-Ih ��#

4 > < @1B�C�D � � > s > � +: > < @1B�C ? � > s > " +

��&� � ��� ���� � ����� � � � � � � � � � ���� #76�S +0#%T < #+841�5< 5B6A5&(# < 59j /+,� � 7%5 � a . � � ) � "� ' !*),+4/# 1�# 2 T�� 1�+ 5 <6$ 5�� /#%-21 5$6#��85PO7RQ5,+ a . � � ) � "� ' !*) �< ) s V - 59TA1�+ 5 - #,h � 5PO79Q+,#%-�> s @2#�> s�" g�+kj < #%&�+.- � &�#%1A�85 < 5,&(#,T < #<h ��#

< �F< ) ? � > s > 3 +- +.$ +.�A<6$6+�� 5,1�+ g05 #,h0��5PO79Q5,+�> s @ � &(+,-'< $65 h ��#�+ �.+.�"��&(#;1�# .���� 1�+ /#�1��"$6#�< 5,&�#%T < #ZS�$6+kS +.$'7%� +9T 5,�

U5 &(5,-6-65 s - 5 $ 5 $'#%�85 7%� +9T 5,$ +�#@6aS + #,T < #�8 7%+,& : $ 59T�1A#)% 5 -�1 5�$'#%1�#Rg T�#�7%#%-'-6� < 5,&�+.- 1�5 #@6aS�$'#%-6-,Q5,+

@ �

Page 29: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

S 5,$65�+��.+.�"��&�#*#%&< #�$6&�+.-�1�#�:_g 4 g�G #�< s Y -'-6+�S +01�#;-6#%$ � #��"<6+�� 5,7%�"� &�#%T < #Rg -'#�-6� S +.$'&(+.- h0�A#

54$'#%1�#�-6#8765 ��& � $ 5 7�< 5 �1g � - < + /#Rg�h ��#'< 5 > < #%& < +01�+.- +.-fT / �,#%�"-�1�#�$ 5 &(��2 7 5PO7RQ5,+ s(9�: +.$65�g 5

$6#�1�# /#�1�#%-'7%$6� < 5�S +.$ � 5 <6+.$6#�-;1�#�#%-'7 5,� 5(� -'+,< $�/+kS��"7%+.-�� 45Q> 4 g :E5t> : + s 9 � /#%& 1��"-6-'+ g +WT*/��&�#%$6+

1�#2< � j +.-nT�+�T / �,#%� IPg +(7�+.&�S�$6�"&(#,T <6+ � 52#�+�$ 5 � +b�?5 S + 1�#�& -6#�$;#76�SA$6#%-'-6+.-;#%& <6#%$6&�+.- 1�#�< #

1�# : $ 5RT�1�#)%%5,- 7 59SA� �85 $6#%- 7�+.&�+

G�5 > < 5 � � > s�� ?+� 5 > �

4 @ 5 � � > s�� @�+

�?5 > � : @ 5 ? � > s�� >v+

� �,+.� ��&�#�1�# . ���"1�+ S +01�#2#%T <%Q5,+(-'#%$ 7 5 � 7%�A�85,1�+�M

� � >�5 � �

G95 � � 5 � 5 > � �� � � : 4 + @�( � :/ 4 <k+ � B

@�( : 4 < ? � > s�� � +

X;+=� �"&(� < #;1�#�G : $ 59T�1A#9g +kjA<6#%&�+.- +=7%+.&�S +.$'< 5,&(#,T < +�5,-6-'� T < /+ < � 7�+ 7%+.&�+=-6#,T�1�+

� � � �����

� : 4 + @ � , : 4 <�� @G�� : 4 + @ � , : 4 <\> @

< � , : 4 < � @ ?� > s�� � +

V < � �"� %%59T�1�+ 5 - #,h � 5PO79Q+,#%-�> s @ � #�> s�� � g < #%&�+.-Ih ��#

� : 4k+ @ �F< � � > s�� +h � 59T�1�++: 4 <�� @ s V;-659T�1�+(5 #%h � 5PO7RQ5,+ > s > 3 g�< #�&(+.-Ih ��#

< � P � : 4 + @ ) R ? � > s�� >+9 -'-6� & g�#,T�7%+kT <6$ 5,&�+.- 27T 5,�"&(#,TA< #�h ��#

8�> ( � T � < +� T � : 4k+ � � > s�� � +

h � 59T�1�+ G�� @ sX +�7%5,-6+�#%& h0�A#9: 4 < > @kg�<6#%&�+.-Ih ��#

G�� : 4 + @ �F< ? � > s�� " +r +.&�+zG � � T ��< + � #%h � 5PO7RQ5,+ > s�� +)g #�-6-65 $'#%� 5PO79Q5,+ -6# 59SA$6+?6 � &(5 1 5 #,h0��5PO79Q5,+ > s�� S 5,$ 5|G: $ 5RT�1�# s N #%-'- 5 � +.$'& 5�g + $'#%-6�A�"< 5 1�+ #@6aS�$'#%-'-6+ S #��85 #%h � 5PO7RQ5,+ > s�� � < 5,& j /#�& /# ��/5 � � 1A+�h � 59TA1�+

: 4 <\> @ s

@

Page 30: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ��� � ��W� � ������ � �� � � � � ��������� � ��� � � ��� � � � � � � � � ��� � � �� � �

Y T�� 7��85,�"&(#,T < #9gA7%+kT�-'� 1�#�$6# +(-'� - < #%&(5=& 5,�"- -6�"&WS��"#%-,M��A& . ��� 1A+WT�#W{ < +kTA�859T�+�#%-'7%+ 5RT�1�+ � 5,&�� T 5,$ �&(#,TA< #Rg 1�#�< 5,��� +.$6&(5�h ��# 5 �0� -'7%+.-'� 1 5,1A#(< #,T�! 5 ��& S 5RS #�� S�$'#%1�+,&(� T 59T < # s49 � &�S #�1 �59T�7��85 /#

#%T <JQ5 + 1 5,1�5 S +.$ � B #9g 7%+.&�+ �0�"&(+.-,g � -'<6+4�"&WSA� � 7%5 4 > : > < @1B�C�D � #%h � 5PO7RQ5,+ > s > + s V - 59TA1�+

5 #%h � 5PO7RQ5,+ > s�� � g + #@6aS + #,T < # � � : 5,1�+�U5 < 5B6A5 &�#�< /5Rj +.�"� 7%5 /#�8z> @ s \ - < #$'#%-6�A�"< 5 1�+ #%- < /5 #%&

1�#%-65,7%+,$61�+�7%+.& +�� 5,�"+.$�#@6aS #%$'� &�#%T < 5,� ?�? � P �NR�s� $6# : � &�# 7 5,$65,7�<6#%$6�&% 5,1A+ S #��85 � &�S #�1 �59T�7��85 � S +.-6-'��� 5 - $6#��85PO7RQ+.#%- 4 > < @1B�C�D #�: > < @1B�C

� #,h0��5PO79Q+.#�-�> s > � #�> s > " + s V;- 5RT�1�+ #�-6-'#%-1� 5,�"+.$6#�- 1�#�4 #=:�T�5(#%h � 5 O79Q5,+�> s�� � g +kjA<6#%&�+.-nh0�A#A8 >� : � g ��& � 5,�"+.$*#%& /+,< �"&(+�5,7%+.$'1�+7%+,& +#%T�7�+kT < $65,1�+ #@6aS #�$6�"&(#,T < 5,� &�#%T <6# s V;&(5�+kj�-6#�$,� 5PO7RQ5,+

� &�S +,$'< 5RT <6#;M + $'# : �"&(# 7%5,$ 5 7�< #�$6�&% 5,1�+�S #%� 5 � &�S #�1 �59T�7��85 � #�-'< /5 �"� : 5,1A+U5 S�$6+kSA$6� #�1 5,1�# 1A#

7%+kTA-6#%$ � 5PO79Q5,+�1 5,- /5,$6#%5,- s ` #�54/5,$'# 5 /#lS�$'#%-6#�$,� 5,1 5oh � 59T�1�+<S 5,-6-65,&�+.- 1A# ��& T / �.#�� 1�# $65,&��&2 7%5PO79Q5,+

S 5,$65=+,�A< $'+\� G95 � �%5 > G�5�� B � ��5 � B +)gA<6#%&�+.-Ih ��#�: > < @1B�C sX + 7 5,-'+ 1�+.- &(5,&4/ � #%$'+.-%g #%T <6$6#�< 59T < + g�<6#%&�+.-���& . � 6 +�S����"- 59T <6#�#%& <6� j +.-�#%� /5,-'<6� 7�+.- s X +

59S0�#,T�1�� 7�# 9 g 1�#�-67%+9T�-6�"1�#%$65,&(+,-*+5,-.S #�7�< + #%��/5 -'< �"7%+(1�+ < ��j + S +.$;-6� &�S��"� 7%�"1 5,1�#�# 1�#%1�� %%� &�+.-�5

� &�S #�1 �59T�7��85 S 5,$65���& : $65,1�� #,T < # 1�#<S�$'#%-'-%Q5,+�+,-67%�"�859TA1�+tT�+ < #�&WS + g059S��"� 7 5 1�+ T�5,- #76 <6$6#�&(�"1 5,1�#�-

1�# �A& <6� j + $ / : � 1�+ s � jA< ���.#%&�+.-�1�+.� - $6# : � &�#%- 7%+9T <6$6+.� 5,1�+.-fS #%� +�S 5,$ �5,&(# < $'+�� >H��� �`sL: � g+kT�1�# � /#�+=$ 5 � +=1�+ < � j + g � /#25 � $'#%h��� �#%T�7��85=59T : ���85,$ 1�#2+.-67�� �85 O79Q5,+ g�s /# 5 1�#%TA-6� 1�5,1�# 1�+ . ��� 1A+

# � /#5 �0�"-67%+,-6� 1�5,1�#1�+ . �A� 1�+ s - 5,$ 5 � : $ 59T�1A#9g 7%+,&(+ T 5 5 +.$'< 5 # T 5,- : $659T�1�#�-=5,$'< /#%$'�85,-,g +

. � 6 + /#�< 5,��h ��#=5�� &�S #�1 �59T�7��85 /# � T �.#%$'- 5,&�#%T <6# S�$6+kS +.$'7%� +9T 5,� 5e�% � #,h � 5PO79Q5 + > s @ � + s m #�&(+,-�+

$6# : � &�#*1�#27%+9T�-6#�$,� 5PO79Q5 +(1 5 - /5 $6# 5 - # �"-'<6+ T�+.- � #��,5=5/8b> � : � s U9 &�#%1��"1 5 h ��# +�.���� 1�+=5�� 59T O7%5

S 5,$654+.-�7 59S��"�85,$'#%-,g 7��^7'+.- $65,� +,- -,Q5,+ S #%h ��#,T�+.-%g 5 �0� -67�+.-6�"1 5,1�#WS�$6#�1�+.&�� T 5 # +0. ���"1�+ 5,1�h0�A� $6#

��& #%-67�+ 5,&�#%T < + � 5,&�� T 5,$ s 9;: +.$65�gA5�� &�S #�1 �59T�7��85 /#*� T �.#�$6-65,&(#,T < #]S�$'+kS +.$67�� +kT 5 � 5�� 0 � #%h � 5PO7RQ5,+

> s @.@�+)g +�h ��#tT�+,-;�"# � 5,$6� 5=5'8 > @ s V & 5,-FS #%7 < + S +.-'�"< ���.+=1 5�1�� &�� T ���#O79Q5,+ 1�+($ 5,�"+=1�+.- < � j +.- /#

h ��#*5 �.#%�"+ 7�� 1 5 1�# 1�+�. �A� 1�+�1�� &�� T ����gkS #�$6&��"<6� T�1�+ 5,-'-6�"&5 < $'+ 7%5 1A#<T �A< $'� #,T <6#%- # : 5 -6#%- 7%+.&5 -

7 /#�� ��� 5,- s�� 5 -FS #%7�<6+ T�# : 5 < �&�,+7%+kTA7%#%$.T�#(5,+#%- < 59j #%�"#%7%�"&(#,T < +1�+$'# : �"&(#�1�#=#%-67%5,�85ag h ��#=#@6 � : #

1�# T /+,-���&(5(1��"-67���-6-,Q5,+& 5 � - � +kT : 5 s1� SA$6� &�#%�"$6+�S +kT < +�1�#�-6-65�1�� -'7%��-'-%Q5,+ /#th ��# +.-�&(5,&4/ � #%$'+.-

T Q5,+�S + 1A#%& -'#%$27 5 $ 5,7 < #%$'� %%5,1�+.-]S +.$���& � 5 < +,$�1�#=#%-'7 5,� 5.:E5�7%+,& ��& � 5,�"+.$�� T�1�#,S #,T�1�#%T <6#�1A#

I s V;&(5 59S�$'+ 6 �"& 5PO7RQ5,+ &(5,� -�$'# 5,� / - < � 7%5 /# h0�A#�: < #,T�! 5=1�+.� - � 5,�"+.$6#�-%g +.� -'#w765�g

:E5 > � : B > < @1B�C S�5,$ 5 I ��I��: > < @1B�C�D S�5,$ 5 I ��I � ? � > s�� 3 +

� �,5 � +.$�1A#�7%+.$ < #�I � S +01�#�-6#�$ +kjA< �"1�+ g +kj�-6#�$,� 59T�1A+$� -'#fh ��#fT�#�-6-6#fT / �.#%� 1�#2$ 5,&��&2 7%5PO79Q5 + g��#%� -%Q5,+ < 5,� -Ih ��# B > s � jA< #�&(+,- #%T <JQ5,+�h ��#

�?5�� > " � > "���`s � � > s � ?+

+kT�1�#2��-65,&�+.-nh0�A# > � :Ns s - +,$ +,�A< $'+�� 5,1�+ gA��- 59TA1�+ 5 #,h0��5PO79Q5,+ > s�� >agA<6#%&�+.-nh ��#

�?5�� > ��� : + @ 5�� ? � > s � @�+

@ >

Page 31: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

V;-659T�1�+(5,- #%h � 5PO7RQ+.#%-�> s�� 3 g > s�� ? #�> s � @kg�+9jA< #�&(+.-Ih ��#

I � > G ( �>

� T�� )��.�� ����� T < ? � > s � >v+

V;-659T�1�+ +.-(1 5,1�+,- S 5,$65 -6#�$6#%-! ��&(59T�+,- � � > ��� @�? @LD ILK�: � �kg � � ? 5 %9gr��� $65,� +

1 5 !�#�& /5 7%�85 > � ? � �� @�? @ � � g sZ��) ��� 0 �� Hs ")�� 0 ) >�@ ?.?.? IZK6: � D P �^R +�#�5,-'-6��&�� TA1�+ <�> � #

< > > � @ ? B � P ^R g +kjA<6#%&�+.-<h ��#OG� >.>=#bI � " g �"&WS��"� 7%59T�1�+�h ��# + $6# : � &�# 1A#�- +,� -6#���� �"� #

1�+.&�� T 5=� + : +�59S /+.-*5,� : ��&(5,- $ 5,&��&2 7%5PO79Q+,#%- s U9 &�#%1��"1 5Wh ��#�5 & 5 -6- 5(1�+59T��"& 5 � 1�� &�� T ����g #%-'<6#

$6# : � &�#*7%+,&(# O7 5 7 5,1�5 �,#)%2&(5,� -@S #%$ < + 1 5=5,+,$'< 5 s - 5,$65=+9jA< #�$ +�#76aS +0#%T < #21 5�< 5B6A5=&�#�< 59j /+.�"� 7%5�gS�$6#�7%�"- 5,&�+.- 5�� 5,� � 5,$�+ �.+.�"��&�#�1�# . ��� 1A+ g h ��#�5 : +.$65 /# 1�5,1�+�S +,$

� � >5 ��5 � �

G�5 � � 5 � 5 � �5 � 5�� G95 � � 5 � 5 ? � > s � � +

9 S /+,-;5 � : ��&(5,-�&(59T�� S���� 5PO79Q+.#�-%g +kjA< #�&(+,-oh ��#

� � > � � � < � < 5 � C�D @�( < @�� 5 � � B�� C�D@�( < @1B�C�D � G ( I ��� ? � > s � � +

V;-659T�1�+�+,-�� 5,�"+.$6#�-;5 7%� &(5 S 5,$65(+.- -6#�$6#%-�!0�A& 59TA+.-%g0S + 1�#�&(+,-;&�+.-'<6$ 5,$nh ��#�+ S�$'� &�#%� $'+�< #�$6&�+

#%T < $'#7 ! 5��.#�-�1A+.&(� T 5 s \ - < #�<6#%$6&�+ 7�+.$6$'#%-FS +kT�1A#5,+ $6# : � &�#�1�#�7%+9T�-6#�$,� 5PO79Q5 + 1A# /5,$6#%5,- s \ &

: #%$65,�1gA#%-6-'# SA$6� &�#%�"$6+ <6#%$'&(+=1�+.&�� T�5 5=-'+.&(5=#Rg7S 5,$65 G : $659T�1�#Rg�< #�&(+.-Ih ��#

� � � < � � �� � <��� � � > s � +

+kT�1�#2��-65,&�+.-nh0�A#OI �� G � #,h0��5PO79Q5,+ > s � >v+ s V;- 5RT�1�+(5=#,h � 5PO79Q5 +�> s > 3 g < #%&�+.-Ih ��#

� � �F< � � ) ? � > s � >+9 -'-6� & g 7%+,&(+ � � � < � #%h � 5PO7RQ5,+ > s @ � +)g #,T�7%+kT <6$ 5,&�+.-�h ��#+8\> � : � s - +.$'< 59T < + g +$'# : �"&(#�1A#

7%+kTA-6#%$ � 5PO79Q5,+(1�# /5 $6# 5 -;1�+,&(� T 5�+ 7�+.&WS +.$ < 5,&�#%T < +=1�# #%-'7 5,� 5 s � � jA-6#%$ � 5PO79Q5,+�M U9 &(#�1�� 1 5 h ��# 5

& 5 -6- 5(1�+.-�&(5,&4/ � #�$6+.- -6# < +.$.T 5 S #%h ��#,T 5�g #76A�"-'<6# ��& 1�#%- �0� +�1�#�-6-'# #@6aS +0#%T <6#9gL7�/5�h0�A#�2 %%#�&(+,-

5=59S�$6+?6 � &(5PO7RQ5,+.G � @ s 9 #@6aS #%$'� �#%TA7%�85 7�+kT 2 $'& 5 #%-'- 5 /�A�"< �"& 5�5$2 $'& 5PO7RQ5,+ P �NR + s

������ � ��� �������� � � � � � � ��� � � � ��� �� � �� ����� � � � � � � � � �� � � ���� � ��� ��� � � ��� �� � ��� �

[*�"&(+.- 5 < /# 5Rh0�A�07�+.&�+;+;&(+01�#%�"+nS�$6#��.�# 7%+.$'$6# < 5,&�#%T < # +;#76aS +0#%T < # � u � 1 5ZS +,<��#,T�7%� 5 &�#�< 59j /+.�"� 7%5 s9 < 59j #%� 5 > s @ � �"-'< 5 � /5,$'� +.- #76�S +0#%T < #�- S�$'# �0� - < +.- S #%� + &�+ 1A#%� + # -6#���- $'#%-.S #�7�< ���.+.- � 5,� +,$6#%-

#@6aS #%$6�"&(#,T < 5,�"- s [�5,&�+.- 5 : +,$ 5���-65,$ +(&�+ 1A#%� +tS 5,$ 5=+kjA<6#%$ 5,� : � T�- 1A+.- #@6aS +0#%T <6#%-��"� - < 5,1�+,- s

[ +.� �A&(#*1A# -659T : �A#

9 #%h � 5PO7RQ5,+2> s @ � � +.$.T�#%7�#�1��"$6#�< 5,&�#%T < # 5<S�$'# �0� -,Q5,+*1�+*&�+01�#%�"+<S 5,$65�5*5 � +.&�#�<6$6�85 1�+1�.+.�"��&(#

1�#*-659T : ��#ZT�+.-�&(5,&4/ � #�$6+.-,M � � �F< s [ #%&�+.- T 5 < 59j #%� 5�> s @]h ��#*#�-6- 5 /#;��&(5 S�$'# �0� -,Q5,+�7%+,$6$6# < 5 s

@ �

Page 32: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ������� � �� -��P*,> ?R&3�'&546 3&)*n #"%$1�� @*,: 10J?9*J #"%$� F:c?B�1 #KJ�!:C$�*%: ?9 #G!*]>@*J(B #G!*< @*%:�KM&)GL*,�� F:� 10+?R .���!>@ #"%$1&)�!:.4P? *)"%$� ,- .:C$�� � ��� ] I ` 4

[�5 $6��/5 �.#%� \ 6aS +0#%T < #- $6# �0�"-'< + #@6aS #%$'� &�#%T < 5,�

^;5 � + 1 5=5,+.$ < 5b� � � : " > ?�? � � ?�? � >- $6#%-'-%Q5,+WT 5=5,+.$ < 5 � � � ?F> ?�? ?,? ?�? ? � >[ #%�"+ 7�� 1 5,1A#*1�+�- 59T : ��# T 5(5 +.$'< 5� � ?F> ?�? ?,? ?�? ? �[ +.� �A&(#*1A# -659T : �A# � � @ > @v? ?,? @v? ?.?m #�&WS +=1�#27%�"$67%�A�85PO7RQ5,+ @ : � > ?�? > ?�? > N � - <$�59T�7��85�1�#27�� $67����85 O79Q5,+ @ : � > ?�? > �b $6#%h���0�#,T�7%� 5=7%5,$61 / 5,7%5 (�@ : � > (�?�? > (;?�? > X /��&�#%$'+ 1�#27 59S��"�85,$'#%-rG� � : � > ?�? � �^;5 � + 1�+ �.+,� ��&�#�1�# -6#%$ �0�.O7%+ @�: @�> > ?�? ? " � �X /��&�#%$'+ 1�#�� +.&�#%$'-6�"# � � @ : � > ?�? > ?�? > N #%T�-'� 1 5 1�#21�#27 59S��"�85,$'#%- (�@�:0@�> > (�?�? ? " � (�?�? ? 3 9 27TA� 1 5,1A#fS +.$� 1�+�- 59T : ��# a 2 � (�@�:0@�> > (�?�? ? " � (�?�? ? " 3^ #�-6�"-'<��#,T�7%� 5�< +,< 5,� � ( � : � > (�?�? � (;?�? � >- +,<��#%T�7��85=&(# < 59j /+.� �"7 5 a . � � ) � "� ' !*) � : � > ?�? � ?�? �

X /��&�#%$'+ 1�#27 59S��"�85,$'#%-

9 #,h0��5PO79Q5,+ > s�" S�$6#��.�# h ��# G � < DwC 0 g ��&(5�.# % h ��#45> � u ��s r +kT < ��1A+ g T Q5,+ ! /5T�5

� � < #%$65 < �A$ 5�1 5,1A+.- -6+kj�$'# 5�5 � +.&�#�<6$6�85�1�+�T*/��&(#�$6+ 1�#27%59S�� � 5,$6#�-IS 5,$65=-'# <6#%- < 5,$ #%-'- 5=!�� S /+,< #�-6# s

^;5 � + #27%+.&�S�$'� &�#%T < + 1 5=5,+,$'< 5

X +�&�+01�#%�"+ 1�#27%+kT�-'#%$ �,5 O79Q5,+�1 5,-4/5,$'# 5,-,g +kjA< #�&(+,- � &�#%1�� 5 < 5,&�#%T <6#]h ��#

� � >� 4 � < C�D �F< ) C�D �F< B�C 0 � � > s � � +

� � >��: B � < C �A< ) C �F< DwC ) ? � > s � " +

- 5,$ 5 +.- & 5,&4/ � #�$6+.-,g 7�+.& : 5,-'-6��&�� TA1�+ +.-�� 5,�"+.$6#�-�: B #.: g + 7�+.&�S�$6�"&(#,T <6+ 1 5 5 +.$'< 5

T Q5,+�-'+�� $6# T�#%TA!0�A& 5 &�+01��&2 7%5PO79Q5 + g0S +.�"- 4 -�/+�1�#%S #%TA1�#�1 5 SA$6+kS�$'� #�1 5,1�#�1�+ S�$'#%#%TA7 !�� &�#%T < +1A+

�.+.�"��&�# s - +,$ +,�A< $'+�� 5,1�+ g0< #�&(+.- 5 : +.$ 5 S 5 $ 5.� � 5�-'# : ��� T < #2#@6aS�$'#%-6-,Q5,+

� � >�?5��: B5�� > @

: B5�� ��: @ 5�� > � : : B �

5 � ��: � < 5 � C � � C�D ? � > s � 3 +

r +.&�+ I � G g +kj < #%&�+.-*1A# T�+ �.+ h ��#.� � � < C +g +�h ��# �"&WS��"� 7%5Wh ��# +�� 5,� +,$ � : " 7%+kT < � T � 5

� /5,� �"1�+ S 5,$ 52+ #@6aS +0#%T <6# s \ -6-'#1� 5,� +,$ #%-'< /5�&��A�"< + S�$�/+ 6 � &�+21�+ � 5,�"+.$ #@6aS #%$'� &�#%T < 5,� ?�? � > � < 59j #%�85

> s @�+ s

Y &WS #%1 �59T�7%� 5�< +,< 5,�

@ "

Page 33: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

- 5,$ 5�#@6 #%&�S�� ��2 7 5 $;+(7 /5,�"7%���"+(1�+(#@6aS + #,T <6# 5,�"+.& /# < $'� 7%+=1 5�$6#�-6� - <��#,T�7%� 5(< +,< 5,�1g'� 5,&�+.- ��- 5 $

5 $6#%-'� - <��#%TA7%�85 < + < 5,� � B � #%h � 5 O79Q5,+ > s @.@�+WM

� B >�5 � �

"�� � 5� � 05 G�5 ? � > s� ?+

V;-659T�1�+(5,- #%h � 5PO7RQ+.#%-�> s�� ?�g > s�� @2#�> s�� >ag�#,T�7%+9T <6$ 5 � -6#fh ��#

� B > � : 04 � �5 � �

� 4: 0 < �

5� � > s� @�+

+kT�1�#� > "�� � : � � 0 /#5 $6#�-6�"-'<��#,T�7%� 5 !��"1�$6+01�� T �5,&(�"7 51�#��A& 7%59S��"�85,$ s r +.&�+�4 : : 0 < >�@kg< #�&(+.-

� B > < @ ��G � @�+ > G @1B ��G � @�+ ? � > s� >v+r +.&�+ /#47%+kTA-'< 5RT <6# # G� 7�$6#%-'7%# &(5,� -�$ /5RS�� 1�+ 1�+ h ��# G D g�< #%&�+.-Wh0�A# � B � G� @1B sV;-659T�1�+(5 $6#%� 5PO79Q5 +�1A# #�-67%5,�85 #%TA7%+kT < $65,1 5�5,7%�"& 5 S�5,$ 5 +�T*/��&�#%$6+ 1A# 7%59S��"�85,$'#%- G�ZgA<6#%&�+.-nh0�A#

� �F< @LDwC 0 s� &�#%-'&(+ $6#�-6��� < 5,1A+�-'#%$6� 5 +9jA< �"1�+ g 7%+.& �A& S +.�A7%+ & 5,�"- 1�#;#�-,� +.$ O7%+ g S 5,$65 + 7 5 -6+ $'# 5,� 1�+,-

& 5 & / � #%$6+,-*#%& h ��#(5 $'#%-'� -'<��#%T�7��85< +,< 5,� /#=1 5,1 5 S +.$ � 5 < /#=+ T / �,#%� I � #�S +.$ � B 5 S 5,$ < � $�1A#

#%T <JQ5 + s

- $6#%-'-%Q5,+WT 5=5,+.$ < 5

V & 5��.# %]h ��# � � � > � � � gaj�5,-'< 5���-65,$ +�7%+.&�S +,$'< 5 &(#,T <6+�1A#;#�-67 5 �85 1 5 $6#�-6� - <��#,T�7%� 5 < + < 5,�

� � �F< @LDwC 0 +�#21 5��,5$%9Q5,+ � � � �F< DwC 0 + S�5,$ 5 #%TA7%+kT < $65,$;5=$'#%� 5PO79Q5,+ � � � >��W�B< �$� 8 < �, s[ #%�"+ 7�� 1 5,1A#*1�+�- 59T : ��# T 5(5 +.$'< 5

r +.&�+ � � > � � � � g1� � �F< DwC ) # � � �F< DwC 0 gA< #�&(+.-nh ��# � > �,� <��$� 8 <��, s

������ � � � �� ��� ������ ����� ��� � � � � � � ��� 9 S #%-65,$ 1�# < #�$6&�+.- < $ 5 < 5,1�+ 59h ��� -6+.&�#%T < #;1�# � #%�"- 5 � +.& /#�<6$6� 7%5,- � � : 5,1 5 - 5,+ -'� -'<6#%&(5 7�� $'7%��� 5 < /+.$'� +

1�+.- & 5,&4/ � #�$6+.-,g + &�+ 1�#�� +fS�$6+9S +.- < + S +.$ � #�-'<OUWc ];f 1�#%-'7%$6#��.#�< 5 & j /#%& + -6� - < #�& 5 $6#%-.S�� $65 < /+,$6� +

1�+.-�&(5,&4/ � #�$6+.- #*+ -6� - < #�& 5 �,5 -67%�A�85,$ 1 5,- SA�859T < 5 -tP ^R1s � #%- < #�7�+.�85Rj +.$65,1�+.$'#%-lS�� j��"� 7%5,$ 5,& g #%&

@ 3 3 3 g,��& 5,$'<6� : +ZT 5�� ];c YLVpU #�& h ��#�+�&�+ 1A#%� + /# 59S��"� 7%5,1�+�#76 7%� �A-6�&� 5,&�#%T <6# 5,+�-6�"-'<6#%&(51� 5,-67����85,$

1 5,- S��859T < 5,-tP > R�s ` � : #�$6�"&(+.- 5,+��"#%� < +.$ � T <6#%$6#�-6-65,1�+�#�& -'#*59S�$'+�� � T�1�5,$ T�+ &(+01�#%�"+ h ��# < 5,&tj /#%&

� #��85�#%-'-6#�5,$'<6� : + P > R�s/\pS�$'#%7%�"-6+1��&%%#�$;< 5 & j /#%& h ��#�#76A�"-'<6#%& 5 �A< +.$'#%-]h ��# 7%$6� < �"7 5,& +&�+ 1A#%� +�g 5 2 $6&(59T�1�+ h0�A#

+ #@6aS + #,T < # � u � 1 5�S +,<��#,T�7%� 5 &�#�< 5Rj /+.� �"7 5�S + 1�# -6#%$�#%T�7�+kT < $65,1�+ S +.$ & /#�<6+ 1�+,- &(5,� - -6�"&WS��"#%-

P � g "^R1s r +9T <6��1�+ g &(#�-6&�+�h ��# 54-'+.� � O7RQ5,+ #%T�7�+kT < $ 5 1 5�S +.$�� #�-'<�#�7%+,�859j +.$ 5 1�+.$6#�- T Q5,+ -'#w76545

& 5 � - -'� &�S�� #�-%g #%� 5 /#7%+.$'$6# < 5 s 9 � /#�& 1A� -6-'+ g + &(+01�#%�"+ � +.� j #�& -6�A7%#%1A� 1�+T Q5,+ -�/+TA+ 7 /5,� 7���� +

1�+#@6aS + #,T < # 1�#�#�-67%5,�85�1 5 S +,<��#%T�7��85 &�#�< 59j /+.�"� 7 5ag 7�+.&(+(< 5,& j /#%& T�+�7 /5 � 7%�A� +�1 5 -*$6#��85PO7RQ+.#%-*1A#

#%-'7 5,� 5=1A# � /5,$'�85,- +.� < $ 5 - : $ 59TA1�#)%%5,-�� �.#�$ < 59j #%�85=> s @ #�+.- 5,$'<6� : +,- P �R #dP > R + sN S 6 �1 .: 6 6 *,> * GL*B9,&3� �� $�>@*f(+ C � S�� G!"���C 0 2P � . &546 3&)* B4 %WI 0 2 #" � . &3"%$�* � . S�� 6 �� F: 6 6 *)> C .

� � . &546 3&3*� +4 \ 0 4

@ 3

Page 34: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ��� �� �O ��� �

� � � � � � � � � � � � ������������ *������������ ��� ��� � ������ ��� �"! �#���� ����$��� ��� �% �&��'(!*)

X,+,-�.9S0/ 214365 +7.9T 148�9�: + 9 g � :<; +�=0-�+ ; +7+ ; +?> 8�5 +A@ 9 +B@C+B= 1 +7@�+ 9 � 8 = 1D8 -E+ 5 .9jC+ 9 .�>6+ 9�8 = 8 6?@ 5<: -�..F+ 9&:<GB8�; > 8 �H/. 9&: .�= 5<8�: =D> 878 =�-I. 5 .FJK. * : + 5 + GB: . sML 8 = 148 -�.�@0/ 214365 +6N���. ; +B= 149 . 1 . 9 >6+O@ 9 +BP 5�8E; .F>6.. 5 + ;Q8R149&: .S>6+B=7+B=�=&+B=ETVUW. ; +B=7.�@ 9&8 = 8 J 1 . 9 .YX : @A/+ 148 = 8 >K.Y= :�;Z:�5 . 9&: >K.�> 8,8�5 /.�= 1&: -�. 8 N 8�; = 8�GB36: >K.�N-�+BJ!� 9 +BJ 1 . 9 = 3 .�=7@ 9�8 � : =E[+ 8 =7-E+ ; +B=A>6.�>6+B= 8 6�@ 8�9�:�;Z8 J 1 . : =A> : =&@C+BJ0/ � 8�: =\JK. 5�:2148�9 . 143�9 .�T]U 8�9&8E; +�=^�368 J 8E; ._= :�;Z:�5 . 9&: >K.�> 8`8E5 /.�= 14: -�.aJ 8E; .a= :�;Z:�5 . 9&: >K.�> 8SGB8 + ; /8E1&9&: -I.a=E[.�+b-�.�@K.�% 8 =`> 8Q8 6?@ 5�: -I. 9+c-E+ ; @�+ 9d1 . ;Z8 J 1 +e+�P6= 8E9 ��.�>6+6Tgf : J6. 5�;Z8 J 148 Nh@ 9 +B@C+ 9&8E; +�= 3�; .iJ6+ ��. �j+ 9�; .i> 8k8 J6-I. 9 . 9 +@ 9 +�P 5�8E; .�NV.l=&.�P 8�9 N\.�-�+B@ 5 .�J6>�+l.l. 5 + ;Q8R149&: .b>6+B=Z+B=&=�+B=nm.o. 5 + ;Q8R149�: ._>K.p/. 9&8 . ;�3 =&- 3�5 . 9Y8 m.5 +*-�+ ; +�q-�[.�+6TsrhJ 148 =7> 8 = 8�G�36:�9 .�> : .�J 148 N�+ 5<8�:<1 + 9 > 8EtB8u8 = 1 . 9\v . ;Q:<5�: . 9&:<w .�>6+O-E+ ; +�=\-�+BJ�- 8�:21 +B=A> 89&8 = : = 1Ix8 J6- : .Z> 8u; . 148E9&: . : = 8 6?@�+�= 1 +�=hJ6+Yrh@ x8 J6> : - 8zy T

� ��� {M|~}������ � �� �� �

�H+ ; +`.�=\> :<;Q8 J6=�[+ 8 =\>6+�=A+B=&=�+B=u�(-E+ ; @ 9&:<;Q8 J 1 + 8 > :$x. ;Z8E149 +�� t . 9&: . ; -E+ ; . ; .�=�=4.S>�+Y.�J :�; . 5 �� =&=4. ^�368 = 1 [.�+ 1&8�; = : >�+ ;�36:21 +�> : =&- 3�14: >K.o> 8 =&> 8 .o>V/8 -I.�>6.�> 8�������� N ; .�=�. 1 /8 X6+�� 8 J#[.�+i= 88 J6-E+BJ 149 + 3�36; .,=�+ 5�3 q-�[.�+6T]rc. 5 + ;Z8E1&9&: .\>6+B=]+B=&=�+B=�N�.�=&= :<; -�+ ; +h.�=D> 8�; . : = 9&8E5 .�q-�[+ 8 =D. 5 + ; /8R149&: -I.�=EN=�[.�+Z> 8 =&- 9�:<1 .�=7@�+ 9A5<8�: =\> 8 @�+ 1Ix8 J�- : .?N6+ 3 = 8 �&.?N

�i����� � ���?T � �������� � ���?T¡ B�

+BJ6> 8 � 8 � =�[.�+6N 9&8 =�@ 8 - 1&:<t . ;Z8 J 148 ND+�-�+ ; @ 9�:�;Z8 J 1 + 8 +�> :$x. ;Q8R149 +¢>6+B=u+B=&=�+B= 8 � ND. ; .�=&=&.-�+ 9 @�+ 9 . 5 TS£¤+BP*� 8R14:<t +¢¥KJK. 5 > 8`36;¦; +?> 8�5 +�@K. 9 .¢.¢. 5 + ;Z8E1&9&: .Z>6+B=O+B=�=&+B=b/8 N0@�+ 9d1 .�J 1 +6N#@ 9�8EtB8E9+B= 8R§ @C+ 8 J 1&8 =h¨ 8ª© T

«u. 5�:<5�8E3 «u. 5<:�5�8E: N 8�; ��¬ � � Nu= 36GB8�9�:�3­^�368 +�=_+B=�=&+B=n>6+�= GB9 .�J6> 8 = ; . ; /®<vj8E9 +B= 1&8�9&9�8 = 149&8 => 8Et�8�9�: . ; = 8E9 @ 9 +B@�+ 9 - : +BJK. 5<;Q8 J 148u; . : = 9 +BP 3 = 1 +B=�>6+ ^*3�8 +B=�+�=&=&+�=�>6+B= ; . ; /®2vj8�9 +�=,@ 8�^�368 J6+B=ET

  �

Page 35: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ; + 3?149 .�=~@K. 5 . t*9 .�=�N,«u. 5�:<5�8E3 = 36GB8�9�:�3 ^�368 +�=�+B=�=&+B=¢> 8 > :<vj8E9&8 J 1&8 = ; . ; /®<vj8�9 +B=YJ#[.�+�@C+*> 8�;= 8E9OGB8 + ;Z8E1&9&: -I. ;Z8 J 148 = :<;Q:<5 . 9�8 =�TF«ª. 5�:�5<8�3 -X 8�G + 3 . 8 =&=&.¢-�+BJ6- 5�3 =E[.�+¢> 8�3�; . v + 9&; . : J 143�:<14:2t .�N-�+BJ 1&3 >6+ t . ; +B= 3�14:<5�:�w . 9A36; . 9�GB36;Z8 J 1 + ; . 1&8�; /. 14: -�+Y@K. 9 .Q-X 8EG . 9 . 8 =�=4. ;Z8 = ; .Y-�+BJ�- 5�3 =�[.�+6T�H+BJ6= : > 8E9&8u^�368 .`@ 9�8 =�=�[.�+QJ6+B=7+B=&=�+B=�/8O: J6> 8 @ 8 J6> 8 J 1&8 >6. ; .�=&=&.`>6+�.�J :�; . 5 N�+ 3 = 8 �&.�N

a ��� ����[����� ���� �/������� � � �� �$� ��� � �� ���?T ���

8 = 3 @C+BJ6XK. ^�368 . v + 9 q-�.a.�@ 5�: -I.�>K.~= 8 �&. @ 9 +B@C+ 9 - : +�JK. 5 .�+ @ 8 =&+�T � =&=&.�=S-E+BJ6= : > 8�9 .�q-�[+ 8 = 5�8Et . ; m.= 8EGB36: J 1&8ª5<8�: > 8ª8 =&-�. 5 .Y@K. 9 .Y+Y> :$x. ;Z8E149 + � >6+B=7+B=&=�+B= 8�; 9�8�5 .Cq-�[.�+bm. ; .�=&=4.`-E+ 9 @C+ 9 . 5 ���

��� ����� � ���?T����

: = 1 +c/8 N�+~> :$x. ;Z8E149 +Q>�+B=F+B=�=&+B=F- 9&8 =&- 8`; . : = 9 /.�@ : >�+�>6+ ^�368 @ 9&8 > :�w .Q= :�;Z:�5 . 9&: >K.�> 8OG�8 + ; /8E1&9&: -�.�T� J 1&9&8R1 .�J 1 +�N 8 =&= 8 /8H3�; 1&9 . 1 . ;Q8 J 1 + ;S36:<1 + 9�8 > 3 - : +BJ : = 1 .h>6+�@ 9 +BP 5�8�; . 8 N�@C+ 9s: =&=�+6N�= 3 .�@ 9�8Et*: =E[.�+/8O: J6-E+ 9&9�8E1 .�N�-E+ ; + tB8�9�8�; +B=,.�> : .�J 148 T��D+ 9 + 3?149 + 5 .�>6+6N*@C+?> 8E; +�=\@ 8E9 - 8 P 8�97^�3 . 5 /8 . 8 = 1&9 . 1 /8�GB: .@K. 9 . 5�: >6. 9 -E+ ; +u@ 9 +BP 5�8E; .?T��"J : - : . 5�;Z8 J 148 N�@ 9�8 - : =4. ; +B=�=&.�P 8�9 = 8 @C+*> 8�; +B=�= 3 @�+ 9�^�368 +�=&=&+�=W> 8> :<vj8E9&8 J 1&8 =z.�J :<; . : = 8 = 1 [.�+a= 3 P ;Q8R14: >�+B=~m.�= ;Q8 = ; .�= 148 J�=�[+ 8 =�T � ; = 8EGB3 J6>�+ 5�3�G . 9 NM@ 9�8 - : =4. ; +B==4.�P 8�9 -E+ ; +Y=E[.�+Z.�= v + 9 q-�.�=,.�@ 5�: -I.�>6.�=A.�+B=A+�=&=&+�= 8 -�+ ; + 8�5 .�= t . 9&: . ; -�+ ; . ; .�=&=&.Z-E+ 9 @C+ 9 . 5 T

� ��� ���F| � ��!�"� |b�#� �#���s�#�

� §�: = 1&8�;�t /. 9&: +B=]. 9�1&:�G +B=0J6. 5�:2148E9 . 1&369 .A=&+�P 9&8 148 J6=�[+ 8 = 8E; +�=&=&+�=�TDUW. ; +B=].�@ 9&8 = 8 J 1 . 9 . ^�36: .�@ 8 JK.�=36; > 8�5<8 =EN ^�368 J�+B=k/8 = 3 ¥K- :<8 J 148 @6. 9 . 9&8 =�@�+�J6> 8�9 m. ^�368 = 1 [.�+b> 8Q8 = 1 . 9&8E; + 3 J#[.�+_+B=ª+B=&=�+B=S> 8> :<vj8E9&8 J 1&8 =h.�J :<; . : =H= 3 P ;Z8E14: >6+B=Sm.�= ;Z8 = ; .�= 1&8 J6=E[+ 8 =ET

£¤. 9�1&:�G + ^�368�t . ; +�=F> : =�- 3�1&:�9 /8 > 8 . 3�1 + 9&: .�> 8%$73 P : J 8%& .�J�'B+BJ 8`: J 1&:<1&365 .)( = 8%*�+),.-0/%132465�7 -018, 4 18/%189:- 7 1 5 +;18,=<.> 7?5 >A@ 7 - 5 >CBCDE-0,GFH9 5 > 7 ,.- 5 18I0> 5KJ FH989 J /L> 5�7 132NMO18/#@ P J ,Q> 4 2R-09S18,UT�V �W T£F=S>K.�>�+B= :<; @C+ 9d1 .�J 148 =ª.�@ 9&8 = 8 J 1 .�>6+B=SJ6+b. 9d14:<G + 8 = 1 [.�+_JK.�= 1 .�P 8E5 .�=ª��T ��8 ��T¡ *T¢r 1 .�P 8E5 . ��T �.�@ 9�8 = 8 J 1 .k.b> 8Ev + 9&; .�q-�[.�+ 8 =&@ 8 -�/® ¥K-�.YX ;Z8 > : >K. 8E; t /. 9�: +B=S.�J :�; . : =z> 3�9 .�J 148 = 3 .�=Y. 1&:<t*: >6.�> 8 =-�+ 1&: > : .�JK.�=ET r > 8Ev + 9&; .�q-�[.�+ 8 =&@ 8 -�/® ¥K-�.LX¢/8 > 8 ¥KJ : >K.`-�+ ; +a� t�8 �&.Y+Q.�@ x8 J6> : - 8 rF�

X � � �� Z ���?T\[B�

+BJ6> 8 � � /8 .u> 8Ev + 9&; .�q-�[.�+ª>6+ ; . 1&8�9�: . 5 > 8 -E+ ; @ 9&:�;Z8 J 1 + : J : - : . 5 � > 8Et*: >6+ m. 148 J�=�[.�+S. ^�368h8 = 1 /.= 3 P ;Q8R14: >�+6TsrhJK. 5�: =4.�J�>6+u. 1 .�P 8�5 .�NB@ 8�9 - 8 P 8 ( = 8,^�368 .�=�> 8Ev + 9&; .�q-�[+ 8 = 8 =�@ 8 -B/® ¥6-I.�= +BP6= 8�9dt .�>K.�= 8�;> :<vj8E9&8 J 1&8 =V.�J :<; . : = =�[.�+S.�@ 9 + §?:�; .�>K. ;Z8 J 148 .�= ;Z8 = ; .�=�T^] ; . tB8Ew�^�368 . 1&8 J6=E[.�+ /8 > :<9&8R1 . ;Z8 J 148@ 9 +�@�+ 9 - : +BJK. 5 m.k> 8Rv + 9&; .�q-�[.�+ 8 =&@ 8 -�/® ¥K-I. �`_ �ba X�NV+BJ6> 8Na /8 + ; /+B> 365 +n> 8 8�5 .�= 1&: - : >K.�> 8 >�+; . 148�9�: . 5 �RN*-�+BJ�- 5�3�: ("= 8O^�368O148 J�=�[+ 8 =�.�@ 9 + §?:�; .�>K. ;Z8 J 148O:<GB3 . : =A. GB8E; J6+B=7+B=�=&+B=7>6+�=h.�J :�; . : =ET

r 1 .�P 8�5 .���T¡ ~.�@ 9&8 = 8 J 1 .a.�= 1&8 J6=E[+ 8 = ; /. §?:�; .�=�N ;Z8 > : >K.�=F+ 3n8 = 1&:�; .�>K.�= � N0J6+B=F+�=&=&+�=ª> 8 [.�J :<; . : =s- 3 �&. ; .�=�=4. t . 9&: .F> 8h� T �u.ª c[ ���ed*G T r�JK. 5�: =&.�J6>6+ª. 1 .�P 8E5 .�NB@ 8�9 - 8 P 8 ("= 8,^�368 .�= 148 J6=�[+ 8 =fKgih3jlk)monp?qersqut jRmvh t�wxpzy)p k q m y�qzt m p k t�wxp?t m wxp?t{qz| jom p h |}p�~.�jom yp�p k �pz��t m`j y jx� �{w jRm y�q m p k t�wxp?t m�� qz|3| jok y�qj�jRmvh t�wxp k y�q?� m�j pHrsqu|z�� pew��pC��t�wxp"y j�m`jo�)m w���)m3��� �{q m pe��p?| h t{|�y j�m�jl�)m y�t��pzw j�h |3q mo��� qu|^q ��h |�q"�\pzyq)� k q m�h |o�jRm

p k t�wxpzt m w jlk qu| jRm � � wxp���{p � p�rsqzt�t{w���{p kAh pzy)p k q�q m�m q�p h |}p�~.�jom y je� w��|3q ��jRm�m q � t�|��� |3�zt � q �L�"j yt k yq?� m`j p~Cp?|3t\p���?npzq#yp�| jRm t m`h �jok)� t\p j �l�jlh |3t � p!yp���{p � p �p#w j yt{ypL� �j qLp k t�wxpz� � qz|3|�t\p j w � wxp jRmvh3j t{|3p)��rsqzt^�0q m3m �  ~ j �jok)� q kuh |3pz|�y�t�| j�h p?w jlkAh3j p h3jlk)monp?qxp�� �j q�q m3m q j |}p m`�¡ w jlh t\y�q �

  �

Page 36: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

��� ����� ��������� j rsqu|�wxp���znq jRm jRm � jo� �  ��� p m�� w j y�t\yp m�j w�~ �p?|3t{q m p k t{wxp?t m j � j | ��jok y�q�~ �p?|3t{p m p h t{~At\ypuy jomo�£F=�=&+ r 14:2t?: >K.�> 8 X$ /.�> : +`> 8u36; -�. t . 5 + 1&9 + 1 .�J6>6+ F �� �B� � �������� /® P : .�> 8ª3�; -I. t . 5 + G . 5 +�@K.�J6>6+ ���  �B� � �������� 8E1 .�-I. 9 @�+Z> 8u36; -�. t . 5 + .�- 8�5<8�9 .�J6>6+ �� ���B� � ��� ���$ /.�> : +`> 8u36; -�.�-X6+ 9�9 + 1&9 + 1 .�J6>6+ F  ¬��B� � ��� ���� /® P : .�> 8ª3�; -I.�-X�+ 9&9 + G . 5 +�@K.�J6>6+ F  �I�B� � ��� ���/] ;Q8E9 +Y> 8u36; G .�J6=&+ t +�.�J�>6+ F �� �B� � �������] 5 JK.`> 8u36; vj9 .�J G + PK. 148 J�>6+�.�=h.�=4.�= F  �I�B� � �������f x8�;�369 > 8ª3�; .`+ tB8E5 XK. 1&9 + 1 .�J6>6+ F B  �B� � �������/] ;Q8E9 +Y> 8u36; .`+ t�8�5 XK. 1&9 + 1 .�J6>6+ F B  �B� � �������$ /.�> : +`> 8u36; .Y+ t�8�5 X6. G . 5 +�@K.�J6>6+ F �� �B� � ��� ���� /® P : .�> 8ª3�; .`+ tB8E5 XK. 1&9 + 1 .�J6>6+ F  �I�B� � �������$ /.�> : +`> 8u36; @C+ 9 -E+ 1&9 + 1 .�J6>6+ F �� �B� � �������£F=�=&+Z> 8u36; @ 8�:2§?8 JK.�>K.�J�>6+ ���  �B� � �������� .�J6>0/® P 365 .`> 8u36; . ; .�-I.�-�. ; + 9 > 8 J�>6+ F B  �B� � �������� /® P : .�> 8ª3�; @ 8E9&3 -E+ 9&9�8 J6>6+ F ��c[ � � �������

��� ����� ����������� jok)mlnq jom w��pC��t�wxp m w j y�t{y)p m q ��jRmvh t�wxpuyp mOk q m q m�m q m y j p k t{wxp?t mO� qz|3| jok y�q �������! "�$# �j p h�jok)mlnpzqy j ~ t{y�q%p�rsqu|z�� p m y j�� quw��| jRm�monp?q�� �%!#'&(�*)�!+ �j p h3jlk)monp?q%y j ~ t{y�q%p�rsqz|u�� p m y j-,)j � npzq j.�0/1+(/1��# �j p h3jlk)monp?q h q h pz�2 �3/1+4/1�$#�56�����! "�$#078�%!#'&9�:)�;+!<K�6g m�h�jlk�mlnq jom�monp?q�ypzyp m j w w j �up � p m3� pz� 2 ��� p <��

rhJ :�; . 5 � .�=&=4._� d�G � _�=;>*?�= � � � �s.�� _A@ �CB >ED=;Fz� � �D.�� _HGIFJGI= � � � �s.��@ 8�9�3 � T � ��� ��  ���-�.�-X6+ 9�9 +   � T � � � � �c�-�. t . 5 + � � � T � � � ¬ [��P�/3�v . 5 + [ �B� ��� � � [��8E5�8Ev .�J 1&8  0[ �B� ¬ [ � [ �

; /. §�:<; .�= t . 9&: . ; @C+ 3 -�+,-�+ ; . ; .�=&=&.,-E+ 9 @C+ 9 . 5 T �D+ 9�1 .�J 1 +6N�-E+ ; + 3�; .7@ 9&:<;Q8E:�9 .A.�@ 9 + §?:�; .�q-�[.�+6N@�+*> 8 ("= 8 -�+�J6- 5<36:�9u^�368 .�= 1&8 J6=E[+ 8 = ; /. §?:�; .�= ^�368 . GB8�; J�+B=z+�=&=&+�= : J�> 8 @ 8 J6> 8�; >K. ; .�=�=4.a>�+.�J :<; . 5 T

] ; .�+ 3�149 . : J v + 9&; .�q-�[.�+ ^�368 @C+?> 8E; +�= 14:<9 . 9 >K. 1 .�P 8E5 .F��T  �/8\^�368 . ; . : + 9 @K. 9�1&8 >K. 1&8 J6=E[.�+^�368 X7/.YJ6+Q+B=&=�+ /8 -�+BJ6= 8�^�3#x8 J6- : .~> 8ªv + 9 q-I.�=h> 8.KK8 § [.�+6T � =&=&. : J v + 9&; .�q-�[.�+Y= 8�9 /. ;�36:21 + 9&8E5�8Et .�J 1&8^�3 .�J6>6+ v + 9�; +B=7.�@ 9&8 = 8 J 1 . 9 J6+B=&=&. v + 9�; .�> 8u1&9 . 1 . 9 +Y@ 9 +�P 5�8E; .�T

rh=,-E+BJ6- 5�3 =E[+ 8 = :�; @C+ 9�1 .�J 148 =7. ^�368 -X 8�G . ; +�=A=�[.�+ �

L � ; 36; . @ 9�:�;Z8�:<9 .¢.�@ 9 + §�:<; .Cq-�[.�+6N].�= 148 J6=�[+ 8 = ; /. §?:�; .�=u.�@ 5�: -�.�>K.�=u.�+B=z+�=&=&+�=S=�[.�+ : J6> 8 (@ 8 J6> 8 J 148 =h>6. ; .�=&=&.`>6+�.�J :�; . 5 T

L r ; . : + 9 @K. 9�1&8 >K.�= 148 J6=�[+ 8 =�/8 > 8Rt*: >K.Y. v + 9 q-�.�=A> 8MKK8R§ [.�+�T

� = 1 . ; +B=7. G + 9 . 8�; -E+BJ6> : q-�[+ 8 =,> 8 .�@ 9&8 = 8 J 1 . 9 .`X : @7/+ 1&8 = 8 >K.Y= :<;Q:<5 . 9�: >K.�> 878�5 /.�= 14: -I.�T

 B 

Page 37: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

����� ����� �� � ��I� � �E� ��� �� �]}�� �7�

� ; ����� �?N � X6+ ; .�= � - � .�X6+BJ�= 3 @ x+B= ^*3�8 . K . ; P6. GB8�; = 8E9&: .�+ 8�5<8�;Z8 J 1 +e-XK. tB8 @K. 9 .e= 8> 8E1&8�9�;Q: JK. 9 .�=�> :�;Z8 J6=E[+ 8 =,>6+B=h+B=&=�+B= 8ª1 . ; PV/8�; > 8 /. 9�t + 9&8 = V ����W T � §?: = 148z36; .Y-I. 9&G . ; /. §?:<; .^�368¢36; ._-�+ 5<3 JK._= 3 @C+ 9�1 .b= 8�; K . ; P6. 9 N�. ^�3 . 5 /8 -XK. ; .�>6. 2R- 7 T�- 2 7��� 5 132R- Tnrg-I. 9�G ._- 9 /®<1&: -I.@K. 9 . 3�; .`-�+ 5�3 JK. K . ; PK. 9 /8 �(rh@ x8 J�> : - 8zy N 8�^�3 .�q-�[.�+ y T � �B�

����� a��� � Z ���?T ¬ �

+BJ6> 8 a /8 + ; /+�> 365 +_> 8�8�5 .�= 14: - : >K.�> 8 >�+ ; . 1&8�9&: . 5 N � /8 + ; + ;Z8 J 1 +n> 8�: JV/8E9 - : .b>K. /. 9&8 . >6.= 8 q-�[.�+ 149 .�J6= t�8�9 =&. 5C8 � /8 +ª-�+ ; @ 9&:<;Q8 J 1 +O>K.u-�+ 5<3 JK.�T�� 8 -E+BJ6= : > 8E9 . 9�; +B= 3�; .u-�+ 5<3 JK.O- :<5 /® J6> 9&: -I.� ��� ? � ?�� ��� F � � � �"! ¬ ��� 8~^�368 ._-�. 9&G ._. GB: J�>6+aJ 8�5 . /8 @ 9 +�@�+ 9 - : +BJK. 5 m._= 3 . ; .�=&=&.i� �¦� �#%$ � # � � � �RNK+BJ6> 8�# /8 .Y> 8 J6= : >K.�> 8 >K.`-E+ 5�3 J6.�N 148E; +�=

� � � �'& a # ( ���*) � � �*),+ ���?T � �

� 3 >K.�Jsq-�.�=�JK. v + 9&; .�>K.F-E+ 5�3 JK. 8 JK. v + 9&; .�> 8 .�@ 5�: -I.�q-�[.�+�>K.O-�. 9&G .Y�j= 8 /8 > : = 1&9&: P 3 /® >K.h-�+BJ (14: J 3 . ;Q8 J 148 @ 8�5 .A-�+ 5<3 JK.A+ 3 = 8W8 = 1 /.,.�@ 5�: -I.�>6.\J6+7- 8 J 1&9 +�> 8W; .�=�=4.��#. 52148E9 . ; .�@ 8 JK.�=].A-�+BJ�= 1 .�J 1&8> 8 @ 9 +B@C+ 9 - : +BJK. 5�: >6.�> 8 >K. 8�^�3 .Cq-�[.�+ª.�- :�; . V ���)W T�- 8 =�=4. v + 9�; .?N �i�­� � �*) /8 .h@ 9&8Rt?: =�[.�+O>6. 148 + 9&: .8�5 /.�= 1&: -I.Q@K. 9 .~-E+ 5�3 JK.�= ^�368`^�368 P 9 . ; @�+ 9 K . ; PK. GB8E; T � - � .�X6+�J 1&8 = 1 + 3k8 =�=4.¢@ 9�8Et*: =E[.�+¢@K. 9 .36; GB9&3 @C+~> 8 /. 9�t + 9&8 = 8�; ^�368%a ! # /8 -�+BJ�= 1 .�J 1&8 TOr X : @7/+ 1&8 = 8zvj3 J6- : +BJ�+ 3 P 8�; N�-�+ ; + ; +B= 149 ..�¥ GB369 .Q��T � T

r ¥ ; > 8 =&.�P 8�9 -�+ ; +u+u-�+ ; @ 9&:<;Q8 J 1 + � 8 +ª> :dx. ;Z8E1&9 + � >6+B= +B=�=&+B= t . 9&: . ; -�+ ; . ; .�=&=&.-�+ 9 @�+ 9 . 5 � NsPK.�= 1 . 3 =&. 9 . 8�^�3 .Cq-�[.�+_��T ��8 . X : @A/+ 148 = 8 > 8Q^�368 . ; .�=&=&.a> 8Z36; > 8R148E9&;Z: JK.�>�++B=&=�+�/8u36; . vj9 .�q-�[.�+Y-�+BJ�= 1 .�J 1&8 >K. ; .�=�=4.`>6+Z-�+ 9 @�+6N�+ 3 = 8 �&.�N

� � � � � Z ���?T ���

-�+ ; +��6/. v + :#3 =&.�>6+ZJ6+Y> 8 = 8 J t + 52t*:�;Z8 J 1 +Q>K. 8�^�3 .�q-�[.�+~��T � T- 8 =&=4. v + 9�; .�N�.�=7@ 9&8Rt*: =�[+ 8 =7>K.Y= :�;Z:�5 . 9&: >K.�> 8,8�5 /.�= 1&: -�.�=�[.�+ �� � � ��� � Z ���?T � �� � � )��*. Z ����T ��� �� � � � �*) + ����T �B� �

/102/3054 6 7�8:9<;>=>?@?BAC8D?E;�FHG�?JIK=>LMN8CL�;OL�L,PQFHGRF5MSL�;�FHT�L�T�?U?EM�VL�PW=OFSX�L-F+ : =S.�J6+B=`> 8 @C+ : =EN � - � .�X�+BJ�@ 3 P 5<: -�+ 3i36; = 8�GB3 J�>6+ . 9�1&:�G +6N .�@ 9&8 = 8 J 1 .�J6>6+ 36; . 5�: = 1 .a-�+ ;+b-�+ ; @ 9�:�;Z8 J 1 + 8 +a> :dx. ;Z8E1&9 +a>6+B=S+�=&=&+�=�> 8b�B� � ; . ; /®2vj8�9 +B= 3 J GB365 .�>6+B= � N 9�8 @ 9�8 = 8 J 1 .�J6>�+ � [8 =�@H/8 - :�8 = V �B�uW T ] ; . tB8Ew ^�368k8E5�8 J#[.�+ 1&: J6XK.i.�= ; .�=�=4.�=�>6+�=�.�J :�; . : =�N � - � .�X6+BJ =K/+�@ x+B> 88 J6-E+BJ 149 . 9 + 8 § @C+ 8 J 148 . 5 + ; /8R149&: -�+�YV>K. 9&8�5 .�q-�[.�+ ���­�NZ T £F= 9&8 = 36521 .�>6+�= 8 J6-�+�J 1&9 .�>�+B= 8 = 1 [.�+zJ6.

 ��

Page 38: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

��������� �����1��� g � h�� |3p��� �������y�t8�p?w j�h |�qxy j �pz|�~uqz| jom � �j^h �j w;q m w jom w q m ~Cp?�{qz| jom y j������ �q k y j�� �j qxwL�qAy � �{qy j j �\p m`h t � t\ypzy j�j�� �j p�y jlk)m t{y)pzy j ypxwxpzy j t�|}p ��g �{t k�� p ���j t{p)� � quw � wxp�t k)� �{t k p���?npzq�y j����� 2 � quw q��| j ~0�j pj � � p���?npzq )�"! < �6�j p �| j ~ t mlnpzq h�j �qz|3t � p � g �{t k�� p h |}p ��j$# pzyp �j p ��� |�~Cp � �)j w j � � qu| m�j p #v�)m`h p p?q m ypuy�q m jOh p?w ¡ �j wh3j w � wxp�t k)� ��t k p���znp?q�t{� � p?� p �%�& �('*) ����+ �{t k �%,N�j p��)pz�{p�~ |}pet k �z� jom p"�)p?|}p , pzw ¡ pz� j w �.- |��p ��� q�q ¡�h t\y�q���qu|���o� p � q k0/2143�5 �

6 �87:9�;�� ��� ���=< ���0q jokAh�jom?> yp | j �\p���znp?q pz��quw#�j�h |�t � p�@BA(CED�q ¡�h t{y�q m ��qu| ���l� p � q k./F1G1�5��£H4H4I � §�J I�K%LNM�KPO ��IRQ4QSK�TVU�qWYXUYI Z\[]_^ K�QSIa`_KbK�H J [K W�c ^ K%H[] ^ K�QSI �ed ¬ [�� ��d � � � �B� �]fT�L=U �ed ¬  �� ��d ��[ � �B���g xK ^.] Q �ed �   � ��d � [ ¬ �B���� [® O c U �ed [ �B� ��d � � [ �B� �� K%M�U�M�U�Q4H4I �ed ¬ �B� ��d �� )� �B¬� K ^ O_Q4Ih` c U�LiM4K c Q4I �ed ¬B¬B� ��d � ��  �B� �� K ^ O_Q4IBM�Q4UYH4K c Q4I �ed ¬B� � ��d �B�?� � [

 ��

Page 39: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

M�UYO K�TVUF� d � d rfH J IYH c �W�XIRK�H LeI K�H �i] K%TVKGM�IP`_IRH IRHSH4IRH ^ K�L W%c IRL_UY`_IRH L_K�H M�K W U J [® M ] TVIK%HSM XU�I c T ] H M�Q4UY`=UYHL_I U J#xK�Le` cVW KS� d

� I�`_K?(�HSK t K�Q �i] KfIRH�K §�J I K�LNM4K�H K%HSM XU�I J Q_[I § c ^ IRH�`_I t UYT�IRQ J Q4K t c HSM4I¢�� ������ d r T�� ] L_H�H XU�I ]_^J I ] W I ^ U c IRQSK�H���I ] M4Q4IRH ]_^ J I ] W I ^ K%L_IRQ4K%H d � Q xK�H J IRLNM�IRH H XUYI QSK�HSH�UYT M�UY`_IYH J K�T�IBU ] M4IRQ �

�Rd £ K §�J I K�LNM4K J UYQ�U U J K�QSL=U ` c UYLNM�K c Q�U W I ^ I ]_^ M�I `_I K�H M [U ^0] c M�I J Q=[I § c ^ I `eI t U�TVIRQJ QSK t c H M�I_�  ����B� d

  d £ K §�J I K�LNM�K UYT�I ^ [KGM�Q cVW I [K W IRL_H c HSM4K�LNM�K ^ K%LNM�K ^ U c IRQ J U�Q�UaI vdxK ^0] Q d� d r W IRQSQ4K�TVU �WYXU�IP`eIRH�YQ=[U�¥ W IRHB[K W IRL_H c HSM4K�LNM�K ^ K%LiM4K ^ U c IYQ J UYQ�UbIRH�IRH4HSIRH J Q=[I § c ^ IRH ) � []_^ K�Q4I

K vdxK ^0] Q� �i] K J UYQ�UaIRH I ] M�Q4IYHª� ] T�L=U�eM�[® O c U0K ^ K%M�U�M�U�Q4H4I��

� ^����B�B� � $Pd � W Z d rfTVK § UYLe`_K�Q J_] O_T cVW I ] H4K ] UYQSM c �RI(HSIRO_Q4K U(UYTVI ^ KGM�Q c U `=UYH J K�Q4L_UYH `eKUYLNM8[® TVI J K�H��ELeI �i] U�T ^ U c H QSK�H ] T�M�UY`_IRH(U v U t IYQ `=U H c ^ c TVUYQ c `=UY`_K(K%T8[UYH M cVW U v IRQ4U ^ K%L W IYLiM4Q�UY`eIRH

V �   W*d ]fH4UYL_`_I `=UY`_IRHEH4IYO_Q4K � � K%H J [K W�c K�H `eK ] L� ] T U�`_IRH�� J Q4I t K%L c K%LiM4K�H`eK I ] M�Q4I U ] M4IRQz�2�eU W � H���r T�K § UYL_`_K%Q K�L W IRLNM�Q4I ] UYH HSK�� ] c LNM�K�HEK �i] U �WYXIRK%H �

� ����� ������� ���l�Y© ���u����6� ��� + � � [ ����� ��� � Z ��� d2�  B� ¨ ��!6���~© � �"� Y ��� ��� +  �� � � ��� � �$# Z ��� d2� ��� ¨ ��!6�0�%���0�'&��(�3��� � � + �B  � � ��� � ) # Z ��� d2� ���

W ] �SIYH K §�J I K�LNM4K�HbK�H M XUYI QSK�T U M c t U ^ K�LNM4K J Q_[I § c ^ IRH `_I t UYT�IRQEK�H J K�Q4UY`_Il��¨ �g� ! ��� d rfTG[K ^ `_K%H4HSK�H`=UY`_IYH��eI.U ] M4IRQ M�U ^ O [K ^ v IRQ4L_K W KK �i] U �WYXIYK�H UYT�I ^ [K%M�Q cVW UYH J UYQ�UP`=UY`_IYH W IYTVK%M�UY`_IRH J IYQ K%TVK ^ K%H ^ IK ^ UYLNM�[® TVI J K�H d £ HfK §�J I�K%LiM4K�HK%L W IYLiM4Q�UY`eIRH J UYQ4U I W I ^hJ Q c ^ K%LNM�IhK.I ` c xU ^ K%M�QSIB`_IRH IYH4H4IYHK ^UYLNM8[® TVI J K�H K%HSM XUYI L_UBM�UYO:K%T U`� d � d

£H K §�J I�K%LNM�K�H J U�Q�U I W I ^hJ Q c ^ K�LNM�IK%HSM XUYI J Q=[I § c ^ IRH `_I t U�TVIRQ J Q4K t c HSM4I��(¨ � � ! ���)� ^ UYH IYHK §�J I�K%LiM4K�H J U�Q�U If` c xU ^ K%M4Q4IfH4K U v U�HSM�U ^ ]e^ J I ] W I`_I t UYT�IRQ J Q4K t c HSM4IY� ©�� � ! ��� d -K%H4H4U v IRQ ^ U�K�HSH4K�Hb`=U�`_IRHM xK ^ ]e^ U W IRL W IRQ4` xU�L W�c U Q�U w I�[U t K%T W I ^ IRH Q4K�H ] T�M�UY`_IRH `_U M�K%IRQ c U `=U H c ^ c T UYQ c `=U�`_KK�T�[UYHSM cVW U d � LNM�Q4KGM�UYLNM4I*��T�I��RIbH ] Q�� c Q�U ^ LeI t IRH�`_UY`_IRH �i] K K%HSM�U t U ^ K ^ W I ^hJ TVKGM�IP`_K�H4U W IYQ4`_I W I ^U0M�K�IYQ c U d

£O_HSK�Q t U �W�XUYI � r M�UYO K�TVU7� d ��� ] LNM�U ^ K%LNM�K W I ^ UYH?`_K ^ U c H�M�UYO K�TVUYH?U H4K�QSK ^ W�c M�UY`_UYH UEHSK�� ] c Q��J IYH4H ] c ]_^ U W IRT ] L=UB`_K�LeI ^ c L=UY`=UZ� © �¨ K I ] M�Q�UB`_K%L_I ^ c L=UY`_U#� © e �¨ d £ T�K c M4IRQ L XUYIh`_K t K0HSKJ Q4K%I W ]_J UYQ W I ^ K�HSH�UYH W IYT ] L=U�H J IRQ K%L �i] UYLNM�I d ��K ] H c �RL c ¥ W UY`_IBH4K%Q=[UB` c H W ] M c `_IBL=UaH4K �WYXUYI�� d ¬ed

���,+ - � |b�/.Z�#� � � �b�#� �1032 �O���� �O|~} � � �� ^ �I����� �54fTVK § UYLe`_K�Q K W IRT UYO IRQ4UY`_IRQSK�H�UYL=UYT c H4UYQ�U ^ IRH�IRH4HSIRH�`_Kh� �b^ U ^ [®�6 K%Q4IRH�� c Le`_I `eI ^ K�L_IRQUYI ^ U c IRQ ^ U ^ [®�6 K%Q4IaM�K%Q4QSK�HSM4Q4K�� `_I ^.] H�UYQ4UYL � I UYI K%TVK 6 U�LiM4K�� V � � W*d � TVK�HfK�L W IRLNM�Q4UYQ�U ^ QSK�T U �WYXIRK%HUYTVI ^ [KGM�Q c�W UYH ^0] c M�I ` c 6 K�Q4K%LNM�K�H�`=UYH J Q4K�7 c U ^ K%LNM�K K�L W IRLNM�Q4UY`=UYH�K �i] KfK%LNM�Q�U(7�U ^ K ^ W IYLiM4Q�UY` c �WYXU�I

 c[

Page 40: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;1� �������?< � �0q jlkAh�jRm��6j�� 2 y jl�)k t\y�q m � j �\p m�j � � p ��?nq jRm )�F1�j �"� < q ¡�h t{yq m ��qu| g � j �p k y j |O�)pz|3p�p kAh �  ��qu� jRm/F14�45��

£H4HSI ¨ © � © �¨ � © e �¨g xK ^0] Q ��d   ¬ � �ed �B� � �ed � � ��d¡���� [® O c U ��d  ���� �ed � �B� �ed ¬B� ��d¡�B�� KGM�U�M�UYQ4HSI ��d  c[�  �ed �B� � �ed ��¬ ��d �0�[] ^ K�QSI ��d   ¬   �ed � � � �ed � � �Yd �B�]fT�L=U ��d � �I� ( ( (� KGM�U W UYQ J I ��d  c[0[ �ed ��[c[ �ed � � ��d ���� §�J I K�LNM�K ^ [K�` c I

= ��d   ¬ � �ed �0��  �ed ��¬ ��d �0���� m�j � �0q jlkAh�jRm��%j� w��j y�t{q m�monp?q m t�w��� jom w jlkAh�j piw#�j yt{p

p?|3t h t{w#�j�h t � p^yq m j ����q jokuh3jom y j�� pzy)p^q m3m q � � ~Cpz��qu|.w#�j yt�q�y j ��� � �jq ¡h t\y�qxp ��p?| h t{| y�q m j � �0q kAh3jom w#�j yt�q ml�

6��87 9�;1��������� < ����q jokuh3jom pz��quw#�j�h |3t � q m���j�� q ¡h t\y�q m �0qz| g � j ��p k y j |�������� � �)p?|}p �z| � ��q m y j wxp?w"�  r j |3q mQj �)p?|}ph q yq m q m wxpzw"�  r j |�q m #v�)kuh q m /F1S �5��« Q ]_J IB`_KPUYL c ^ U c H ¨ © � © �¨ � © e �¨��L_HSK%M�[® 7RIRQSIRH �ed ��� �ed � � ��d¡��� �ed � �� Q c ^ U�M�UYH �ed ��� �ed � � ��d �B� �ed � �$ I�K%`_IRQ4K%H �ed ��� �ed � � ��d � � �ed � �g c H4H c J K%` c U �ed � ¬ �ed � � ��d �0� �ed � �� I 7 c L_IYH �ed   ¬ �ed � ¬ ��d ��  �ed �  � I�`_IYH ^ U ^ [®�6 K%Q4IRH �ed �c[ �ed � ¬ ��d¡� � �ed � �

W I ^ UYH J QSK�7 c H XIRK�H `=U H c ^ c T U�Q c `_UY`_K K%T8[UYH M cVW U d £H�K §�J I�K%LiM4K�H U�TVI ^ [K%M4Q cVW IRH K�L W IRLNM�Q4UY`_IRH K�H M XUYI0L_UM�UYO K�TVU`� d [ d

£HhK §�J I K�LNM4K�H J UYQ4U I �RQ ]_J I `eIRH ^ U ^ [®�6 K�QSIRH W I ^ I ]_^ M�I `_I �(¨ � � + ��[\K © � � + � ¬ �c ^hJ T c�W U ^ �i] K � � � � I �i] K [K ]_^ U W UYQ4U W M4K�Q�[® HSM cVW U `=U H c ^ c TVUYQ c `=UY`_K3�RK�I ^ [K%M4Q c�W U d � H4HSKQ4K%H ] T M�UY`_IPH ] �RK�QSK �i] KEIRH IYH4H4IYH�`_IRH ^ U ^ [® 6 K�QSIRH H XU�I �RK%I ^ KGM�Q cVW U ^ K%LiM4K H c ^ c T UYQSK�H��YI �i] K W IRLeM4Q�U)(` c w U c `�[K c U c LNM ] c M c 7�U.`eKS«bUYT c TVK ] U J Q4K�HSK�LNM�U�`=U L=UBH4K �WYXUYIQ� d2�Rd

� ^ ��� ���� � c K���K%L_K�QfU J QSK�HSK�LNM�I ] L_I 7RIRHf`=UY`_IRHEK §�J K�Q c ^ K�LNM�U c H�� �i] K 6 IRQ�U ^ c LeM4K�Q J Q4KGM�UY`_IYH

W I ^ I ]e^ UEL_I 7YUfK�7 c ` xK%L W�c U `_K � ] K U H c ^ c T UYQ c `=U�`_K �RK%I ^ [KGM�Q cVW U H4K%Q c UUf`_K%H W Q c �W�XUYI W IRQ4QSK%M�U J UYQ�U UUYTVI ^ KGM�Q c U`_IRH IRH4HSIRH�`_IYH ^ U ^ [® 6 K�QSIRH V � � W d � T�K U�L=UYT c H4I ] IRH IRH4HSIRH�`eK��� bK�H J [K W%c K�H�`_K ^ U ^ [®�6 K�QSIRH`_K � + �   � Uh��[ �B����� K�K�L W IRLNM�QSI ] IYH `=U�`_IRH U J Q4K%H4K%LiM�UY`_IRH L=U M�UYO K�T U,� d ¬ed ZfIYM4K �i] K IRH K §�J I K�LNM�K%H^ [K%` c IYH K�HSM XUYI J Q=[I § c ^ IRH�`_K � ���� �i] K [KbI 7YU�TVIRQ J Q4K�7 c HSM�I J K�T U0H c ^ c TVUYQ c `=UY`_K1�RK�I ^ [KGM�Q c�W U d

4 J [IRH IRH M4Q�UYO_UYT � IYH`_K � W � U � IRL � 4 TVK § UYL_`_K%Q > 5 -09 K � c K� K�LeK�Q�� ^0] c M�IYH I ] M4Q4IRHbU�QSM c �RIRH6 IRQ�U ^ Je] O_T c�W UY`eIRH H4IYO_Q4K U U�TVI ^ K%M4Q c U `_IYH IRH4HSIRH K ^ ^ U ^ [® 6 K�Q4IYH d 4fH M�U�O:K%T UYH_� d¡� U � d<�I��! k � � �{puy�q m�monp?q wxp?w"�  r j |3q m ���&# q m y j y�q m�monp?q��|3qC~ t{y�q m y j^� p m3� q ml�"$# j # p k qxp?� �jlk yt �lj�% p�y j��)k t`��znp?qxy j q m3m q m �|0�q?��t�w�q m j yt m`h pzt mo�

  ¬

Page 41: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6 ��7 9�;1���������=< ���0q jlkAh�jRm p?�{qzw#�j�h |�t � q m ��j�� q ¡�h t\y�q m ��qu| ) t j��Qjlk)j | �)p?|}p q m wxp?w"�  r j |3q m /F1���5��£HSH4I ¨ © � © i¨ � © � �¨[] ^ K%Q4I �ed � � �ed � ¬ �ed¡��� ��d �� $ [UY` c I �ed ��  �ed � � �ed¡��� ��d �0�g xK ^0] Q �ed � � �ed �0� �ed¡�*� ��d¡� �� [® O c U �ed  �� �ed �0� �ed¡� � ��d � �� §�J I�K%LiM4K ^ [K�` c I

= �ed � � �ed ��[ �ed¡� � ��d¡� �� � m�j ����q jlkAh3jom �.j � w#�j y�t{q mOmlnpzq m t�w��� jom w jlkAh�j p�w��j y�t\p

p?|3t h t�w��jlh t � p�y�q m j ����q jlkAh3jom y j�� pzy)p�q m3m q � � ~Cp?�{qz|Ow#�j y�t{q�y j ��!� � �j q ¡�h t{y�qxp �)pz| h t�| y�q m j ���0q kAh�jRm w#�j y�t{q mo�

6 �87:9�;�� �������=< ���0q jokAh�jom pz��quw#�j�h |�t � q m ��j�� �)pz|3p q r8�j w � |�| j�h t{|}pzy�q m y j ~ �pz|�t{q m p?| h t{�zq ml�4fL c ^ U c H ¨ © � © �¨ � © � �¨ g IRLNM�K� Q c ^ U�M�UYH �ed   � ��d � � �ed � � �Rd<�I� V � [ W��K%Q�U�M4I ^ IRQ 6 IRH = �ed  �� ��d � � �ed � � �Rd � � V ��¬W��LeH4K%M�[® 7YIRQ4IRHEKbQ4I K�`_IYQ4K�H = �ed ��[ ��d � � �ed ��� �ed �B  V ����W4fQSM c I ` [U W M c T�IRH �ed   � ��d �0� �ed � [ �ed �B  V � � W� U ^ [® 6 K�QSIRH �ed � � ��d �0� �ed �?� �ed¡� � V � �*� �I��W� Q c ^ U�M�UYH �ed �B� ��d � � �ed �0� �ed ��� V   �W� U�Q4L�[® 7RIRQSIRH �ed � � ��d � � �ed � � �ed¡�   V   �W$ I K�`_IRQSK�H �ed � ¬ ��d � � �ed � � �ed � � V   �W��� ���� �������������������������� �!��� "#��$��� �%���"&����'���")(+*������%,��"&%���"-(.*/ �� �(0��"21�34�%,��%���"#�65�7)��%,3,8���%9 �;:���)<&�= �"�>,? � ")����������������"@�1=3� A���'B�C���%,��"&" D�����"-��$��� �%���"&����'����,� �(0� ���D(E*�����=%��,?

U J QSK�H4K%LNM�U ^ ]e^ U W I ^hJ c TVU �WYXUYI `_K `=U�`_IRH0` c H J IRL�[® 7RK c H0L=U T c M�K%Q�U�M ] Q�U d 4 L_UYT c H�UYL_`eI UYH.M�UYO:K%T UYH� d � Uu� d2��� �NIbT�K c M4IRQ J K�Q W K%O:K%Q=[U � ] KEIbK §eJ I K�LNM�Kh¨ 7�UYQ c U`_K � + � � U � + � � �NK�L � ] UYLNM�I © M�K ^ 7�UYTVIYQ4K�H`_K � + � � U � + � ¬ed Z XUYI � [U� J IRQ M�UYLNM�I� ]_^ W I ^ J IRQSM�U ^ K�LNM�I O K ^ `_KR¥=L c `eI d £H(Q4K%H ] T M�UY`_IYHK §�J K�Q c ^ K%LNM�U c H.`_K J K%L_`_K ^ `_I IRHSH4I K `eI �RQ ]eJ I `eK UYL c ^ U c H W IRLeH c `eK�Q�U�`_I d � H4H4U 6 I c U ^ U c IRQ` c ¥ W ] T�`=UY`_K �i] KPK�L W IRLNM�Q4U ^ IYHEK ^ L_IRHSH4IhK�H M ] `_IhH4IYO_Q4K UBUYTVI ^ K%M4Q c U.`_IRH IRHSH4IRH d

����F G | ��� � �A� 2 �IHKJE�F|b��� 0 � | ��� � �A�MLQ� � |n�E�"�

] ^ U `=UYH W U ] H�U�H\`_U J T ] Q4UYT c `=UY`_K `_K K §�J I�K%LiM4K�H UYTVI ^ [KGM�Q c�W IRH K�L W IRLNM�Q4UY`_IRH [K U K § c HSM xK%L W�c U`_K(`_I c H0Q4K�� c ^ K�H0`eK K%H W UYT U ` c HSM c LNM�IRH d � W IRLeI ^ IYH 6 I c I J Q c ^ K c QSI U H ] �RK�Q c QBU K § c H M xK%L W�c U `eK

W I ^hJ IRQSM�U ^ K%LNM�IRH `_KPK�H W UYTVUh` c HSM c LNM�IRH J U�Q�U ^ U ^ [®�6 K%Q4IRH J K � ] K�L_IRH K �RQ4UYL_`_K%H V   �zW*d � T�K J Q4I JDxIYH�i] K IRH ^ U ^ [®�6 K%Q4IRH J K �i] K�LeIRH H4K%Q c U ^ �YK�I ^ K%M4Q cVW U ^ K�LNM�K H c ^ c T UYQSK�H�� K�L �i] U�LiM4I IRH ^ U ^ [®�6 K�QSIRH�RQ�U�L_`_K�H HSK�Q c U ^ K�T U�HSM c�W U ^ K�LNM4K H c ^ c T UYQSK�H d � H4H4U c `�[K c U.K §�J T cVW U�Q c U J IRQ �i] K IRH K §eJ I K�LNM�K%H UYT�I ^ [Kz(M�Q cVW IYH J UYQ4UBIYH O:I 7 c L_IYH K�Q�U ^ ` c 6 K�Q4K%LNM�K�H `_IYH Q4K�H ] T�M�UY`_IRH J UYQ�U0IRH I ] M�QSIRH ^ U ^ [® 6 K�Q4IYHO� W I ^hJ UYQ4KIRH�QSK�H ] T�M�UY`_IRH J UYQ�UPIRH O I"7 c L_IRH W I ^ IRH `_K ^ U c H U J Q4K%H4K%LiM�UY`_IRH L_U M�UYO K�TVUS� d [B��� ]_^ U 7YK w �i] KIYH

  �

Page 42: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6 ��7 9�;1���������=< ���0q jlkAh�jRm p?�{qzw#�j�h |�t � q m ��j�� ��p?|}p p h �  ¡ t\p | jlh t{|3puy�q m y j ~ �p?|3t{q m p?| h t{�zq ml�4fL c ^ U c H ¨ © � © �¨ � © � �¨ g IRLNM�K��K%Q�U�M4I ^ IRQ 6 IRH = �ed   � ��d � � �Rd �B� �Rd   � V ��¬W��LeH4K%M�[® 7YIRQ4IRHEKbQ4I K�`_IYQ4K�H = �ed  c[ ��d ��� �Rd � � �Rd  �  V ����W4fQSM c I ` [U W M c T�IRH �ed2� � ��d ��  �ed � � �ed �   V � � W� U ^ [® 6 K�QSIRH �ed   � ��d � ¬ �ed � � �ed ��� V � �*� �I��W��� ���� �������������������������� �!��� "#��$��� �%���"&����'���")(+*������%,��"&%���"-(.*/ �� �(0��"21�34�%,��%���"#�65�7)��%,3,8���%9 �;:���)<&�= �"�>,? � ")����������������"@�1=3� A���'B�C���%,��"&" D�����"-��$��� �%���"&����'����,� �(0� ���D(E*�����=%��,?

6 ��7 9�;1���������=< ���0q jlkAh�jRm p?�{qzw#�j�h |�t � q m ��j�� �)pz|3p q��� w j |3q�| jlh t{|3puy�q m y j ~ �p?|3t{q m p?| h t{�zq ml�4fL c ^ U c H ¨ © � © �¨ � © � �¨ g IRLNM�K� Q c ^ U�M�UYH �ed � � ( ( ( V � [ W��K%Q�U�M4I ^ IRQ 6 IRH = �ed  c[ ��d � [ �Rd2��� �Rd � � V ��¬W��LeH4K%M�[® 7YIRQ4IRHEKbQ4I K�`_IYQ4K�H = �ed �0� ��d � � �ed �B� �ed ��� V ����W4fQSM c I ` [U W M c T�IRH �ed  �� ��d � � �ed �B� �ed �   V � � W� U ^ [® 6 K�QSIRH �ed � � ��d � ¬ �ed �B� �ed �B  V � �*� �I��W� Q c ^ U�M�UYH �ed � � ��d � � �ed � � �ed¡� � V   �W� U�Q4L�[® 7RIRQSIRH �ed � � ��d � � �ed � � �ed¡� � V   �W$ I K�`_IRQSK�H �ed ��[ ��d � ¬ �ed � � �ed¡� � V   �W��� ���� �������������������������� �!��� "#��$��� �%���"&����'���")(+*������%,��"&%���"-(.*/ �� �(0��"21�34�%,��%���"#�65�7)��%,3,8���%9 �;:���)<&�= �"�>,? � ")����������������"@�1=3� A���'B�C���%,��"&" D�����"-��$��� �%���"&����'����,� �(0� ���D(E*�����=%��,?

c LNM�K%Q 7�UYT�IRH `eK ^ UYH4H4U `_K�HSH4K%H �RQ ]_J IRH H XUYI` c 6 K�QSK�LNM�K%H d � K�QSM4Q�U ^ K � c K���K%L_K�Q M�U ^ O [K ^ Q4K�HSH�UYT M�UYQ4U ^U K § c HSM xK�L W%c U `eK W I ^ J IRQ M�U ^ K�LNM�IYHE`eK K%H W U�T U ` c 6 K�QSK�LNM�K%H J U�Q�U J K � ] K�L_IRH K �RQ4UYL_`_K%H ^ U ^ [®�6 K�QSIRHV �I� �0 B  W*d 4p¥*� ] Q�U�� d   c T ] H M�Q4U U ` c 6 K�Q4K%L �W U `_K W I ^hJ IRQSM�U ^ K%LNM�I K%LNM�Q4K ^ U ^ [®�6 K%Q4IRH J K �i] K�L_IYH K�RQ�U�L_`_K�H ] M c T c w U�L_`_IaIRH `=U�`_IRH `_K�HSH4K%HU ] M4IRQ4K%H d

� LNM�QSK%M�U�LiM4I*� 6 I c H=[I K ^ ���B���%�i] K�� � Q c HSM c UYL_HSK�L � UYL=U�T c H4UYL_`_I ]_^ U �RQ�UYLe`_K �i] U�LiM c `=U�`_K `eK`=UY`_IYH��eK%HSM�UYO:K%TVK W K ] `eK 6 IRQ ^ U ^ U c H J QSK W%c H�U.U.K § c H M xK%L W�c U.`_K W I ^ J IRQ M�U ^ K�LNM�IYH ` c 6 K�QSK�LNM�K%H J UYQ4U^ U ^ [® 6 K�Q4IYH J K � ] K�L_IRH K �RQ�U�L_`_K�H V  ���? �� W d 4�¥ � ] Q�U�� d � ^ IRH M�Q4U I �YQ=[U�¥ W I W I ^ J Q c ^ K�LNM4I/7YK�Q4H ] H` c xU ^ KGM�Q4IP`=UbM8[® O c U IROeM c `_I J IYQ\� � Q c H M c U�L_H4K%L d � TVKEH ] �YK�Q c ] �i] K U ^ UYH4H4U `_Ke[ � ��� [KU 6 Q4IRLNM�K c Q4UK�LNM�QSK�IRH `_I c H?Q4K�� c ^ K�H `_K K%H W UYT U d 4 J K�H4UYQ `_UfH ] �RK�H M XUYIf`_K � W IYL_I ^ IRH?H4IRO_QSK UEK § c H M xK�L W�c UE`_K�`_I c HQ4K�� c ^ K�H`eKaK�H W UYT U M4K�Q H c `_I W IRL�¥=Q ^ UY`_U�M� � Q c HSM c UYLeH4K�L `_K ^ IYL_HSM4Q4I ] �i] KBL_K ^ U H c ^ c T UYQ c `=U�`_KK�T�[UYHSM cVW U(L_K ^ U H c ^ c T UYQ c `=U�`_K �RK%I ^ [K%M�Q cVW U H XUYI O INUYHP`_K%H W Q c �W�XIRK�H `=U UYT�I ^ K%M�Q c U `_IYH IRHSH4IRH J UYQ4UL_K�L � ]e^ `_IRHb`_I c HQ4K�� c ^ K�H d £H K §eJ I K�LNM�K%H.UYT�I ^ [K%M�Q cVW IRHF¨�K © K%L W IRLNM4Q�UY`_IYH J IRQu� � Q c H M c UYL_H4K%LK�H M XUYIhL=U0M�UYO K�TVUY� d<���Rd

 ��

Page 43: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

0 1 100 10000Massa (kg)

10

100

1000

Com

prim

ento

da

tibia

(m

m)

��������� � ���"����� � �)mvh |3p ��?npzq�yp^y�t�r j | jlk �� p�y j�� quw �0qz| h pzw jlkAh q jlkAh | j wxp?w"�  r j |3q m � j � �jlk q m j �z|}p k y jom�k p�p?�{qzw j�h |�t\py�q m q m3m q ml� pzy�q m y j�)Qj | h |}p?w j�) t j=� jokj | /F1�� � 1���5��

��������� � ���"��� % qzw��|3t{w jokAh q ��� ������xy�t��pzw j�h |3q#yp h �  ¡ t\p j w � q qz|}y jlk pzyp m ��qu�up?|��  h w�t � p mo�NgG� � � |3p w�q m`h |}pp j ��t m`h �jlk)� t{p!y j | j �ut�w jom y j�jom3� p?�\p#yt m`h t kAh q m �)pz|3p%wxpzw"�  r j |�q m � j � �jlk q m�j �u|3p k y jomo� - |0�p �0� q#q ¡�h t\y�q���qu|%:� |3t mvh t{p k)m`jok./ �& �5 �

  �

Page 44: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;�� ���1�����=< � �0q jlkAh�jRm p?�{qzw��jlh |3t � q m � j!� ��p?|}p�q�|0�pzy�t{q j p � � k p | j�h t�|}pzy�q m y j ~ �p?|3t�q m pz| h t��uq mo�4fL c ^ U c H ¨ © � © �¨ � © � �¨ g IRLNM�K��LeH4K%M�[® 7YIRQ4IRHEKbQ4I K�`_IYQ4K�H = �ed   � ��d � ¬ �Rd �B� �Rd   ¬ V ����W4fQSM c I ` [U W M c T�IRH �ed ��  ��d � � �ed ��� �Rd ��� V � � W� U ^ [® 6 K�QSIRH �ed � � ��d � � �ed � ¬ �ed � � V � �*� �I��W� � ���� �������������������������� �!��� "#��$��� �%���"&����'���")(+*������%,��"&%���"-(.*/ �� �(0��"21�34�%,��%���"#�65�7)��%,3,8���%9 �;:���)<&�= �"�>,? � ")����������������"@�1=3� A���'B�C���%,��"&" D�����"-��$��� �%���"&����'����,� �(0� ���D(E*�����=%��,?

6��87 9�;1� ��������_< ����q jokuh3jom p?�{qzw��jlh |3t � q m � j$� q ¡h t\y�q m �0qz| %:� |3t m`h t\p k�m`jok / �4��5 j q m ~Cp?�{qz| jom y j �� � � 2 j ����q jlkAh3jpz��quw#�j�h |3t � q yp rsqz|u�� p y j ,)j � npzq)� j � � p ��?np?q � 1�� <�j������� � 2 p��| j ~ t mlnpzq yp m t�w�t{�{pz|�t\ypuy j6j �R�p m`h t � pH�j � �jD�� ����� 5 1 <��| �j q � q jl��� t jlkAh�j y j�� qz|3| j �{p ��?np?q � � q�y j �{q � �j p�| j �u| jRm�monp?q �{t kj pz| � j ��q�w#�j�h q�y�qOyq m w"�  k t�w�q m � � pzy�|}pzy�q ml� � q�y j �{q� � �j p | j �z| jom3monp?q��{t k)j p?|�� j �{qxw#�j�h q�y�q ' | j y �)�lj y�w�p # qz|�pC��t m , 2�� ��g�<��

����� �������������������������! #" $&%('*),+-*.0/21435.76 -*.0/21435.7686 9.;:8:<. = > ?(=A@B> C;=#@ED(> = > ?(=A@B> C;=A@FD(> = >GIH14JAK29 '0L ?MC '0L ?�? '0LON�P '0LRQM' '0L ? N '0L ?MC '0LRQ C '0LRQ(N LOP�% LOP�NSUTV5WXZY '0L ? Q '0L ?MC '0LRQ�Q '0LO[(' '0L ? P '0L ? N '0LO[0\ '0LO[ C LOP�N LOP ?T]^J71_98. '0L ? P '0L ?�D '0LO[�% '0LOP D '0L C ' '0L ? % '0LO[�% '0LOP(' LOP�N LOP0\` TY / X . '0L C % '0L ? N '0LOP�P \(La';[ '0L C [ '0L C \ \(La' ? \(LZ\_' LOP C LO[�P]^3Zb Y '0LZ\�\ '0L ? % @ '0ca' D @ '0c D N '0L C�C '0L ? [ '0LOP C \(La'�' L D N LOP D

����� ����������d� � ��ef�,�! #" g&%('*),+-*.0/21435.76 -*.0/21435.7686 9.;:8:<. = > ?(=A@B> C;=#@ED(> = > ?(=A@B> C;=A@FD(> = >GIH14JAK29 '0L ? % '0L D [ '0LRQ�Q '0LO[ C '0L ? Q '0L ? \ '0LO[(' '0LO[�N LOP�N LOP('SUTV5WXZY '0L ?MC '0L D ' '0LO[ D '0LOP�N '0L ? N '0L D [ '0LO[(' '0LO[�[ LOP�% LRQ ?T]^J71_98. '0L ? N '0L D P '0LRQ(P '0LO[�N '0L ? Q '0L ?�D '0LRQ(P '0LO[ C LOP;Q LO[�P` TY / X . '0L ? \ '0L D [ '0LON�% '0LON�[ '0L ? N '0L ? % '0LRQ ? '0LRQ C LO[�N LO[(']^3Zb Y '0LO%(' '0L D % \(L D % \(LO%(' '0LON�N '0L ?�D \(LON�N D La'�' LRQ(% LO[('

���_h G i#j*kE� 0mln j �7kporq�� n n �Mj � �sotq� n u j#�vj#���wj#� � n n ��j � �#xorq � n uyn �n q^� n � J �wi J � n q

z U ^ IRH�U J QSK�H4K%LNM�UYQ U �RIRQ4U L_IRH4H4U 6 IYQ ^ U`_KEM4Q�U�M�UYQ I J Q4IYO_TVK ^ U`=UPUYT�I ^ KGM�Q c U `_IYH�IYH4H4IYH d z c ^ IYH��L=U(H4K �W�XUYIa� d  '� � ] K U ^ U c IRQ J UYQSM4Ka`=UYH M�K%L_H XIYK�H.K ^ ]_^ IYH4H4I [KB`_K�7 c `=U�{U K K § XUYI d 4 M�K�IYQ c U `eKQ4K%H c H M xK%L W�c UP`_IYH ^ U�M�K%Q c U c H LeIRH 6 IYQ4L_K W KfUPHSK�� ] c LNM�K 6 [IRQ ^0] T U J UYQ4UPI W [UYT W ] T�Ib`=UbM4K�L_H XUYI.`eK K K § XUYI� U J#xK�L_` c�W K � �=K � ] U �WYXUYI � d � � � _A@ �CB >ED=!F �}|�~� Z ��� d2� [B�IRL_`_K#_A@ �'B >ED=!F [KhU(M4K�L_H XUYI `eK�7 c `=Um{U K K § XUYI*� | [KBI(M�IRQ �i] K � ~ [K U(` c HSM xU�L W�c U(`eI K c § I LeK ] M4Q4I U�I

J IYLiM4I W IRL_H c `_K%Q�UY`eI K � [K I ^ I ^ K%LNM�IB`_K c L [K%Q W%c U0`=U [UYQ4K�Ua`=UhHSK �W�XUYI QSK%M�U dz c ^ IRHfL_U H4K �WYXUYI�� d   �i] KBUhM�K�LeH XUYI ^ [U § c ^ UhU � c Le`_I L_I IRH4HSI [K c L_`eK J K�L_`_K%LNM�Ka`=U ^ UYHSH�U d

� �

Page 45: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;1� ���1�3��� < ���0q jokAh�j p?�{qzw��jlh |3t � q���yp��pz| j p�w �)m��l� �\p?|�| j ��qu| h pzy�q�q � � pz� �l� �{puy�qep���p?| h t{|�yq m ypuy�q m yp m| j r j |o�jok)� t\p mQ� t h puyp mo� � j ����q jlkAh3j �L�j y j��)k t{y�qx� j �\p | j �{p ��?npzq ������ ��� ����� #'+ A�� � �

4 L c ^ U c H �4 LNM�[® TVI J K�H V��   W �ed����4 7YK�H � ] K W IRQ4QSK ^ = Z � V  c[ W �ed����� U ^ [®�6 K%Q4IRH V   ¬�W �ed � ���L_H4KGM8[® 7RIRQSIRH K $ I K�`_IRQSK�H V   �)W �ed �B�$ I K�`eIRQ4K%H V  �� W �ed�� �� U ^ [®�6 K%Q4IRH V   ��W �ed � �� � m p ��h qu| jRm y jlk qzw�t k p?w ' p�~ jom � �j�� qz|3| j w , p m

p�~ jom � �j k npzq ~zqupzw q � � �j ��� � p k y�q � j | m�j � � t\yp m ��| j r j | j w � qu|�| j |�p ~zqAp?| �

D t k)� � � t k yq�p�~ jom`h | ���u�� t k)� � � t m quw jlkAh�j w���)m3��� �{q m yp � j | k p �

��IRL_H c `_K%Q�UYL_`eI �i] KPK�H M�UaM�K�LeH XUYI [K ] L c�W U ^ K�LNM�Kb`_K)7 c `=Uy{U K K § XUYI*�_M4K ^ IRH �i] K_! �=;> � _A@ �'B >3D=!F" �= > � �u�� &��l�����l� + # � d$��¬&%

��IRLeH c `eK�Q�U�L_`_I �i] K I IRHSH4I [K ]_^ W�c T c L_`eQ4I*� M�K ^ IRH �i� � � � ! ¬ � d 4 H0M4K�L_H XIRK�H ^ [U § c ^ UYHI W IRQ4QSK ^ �i] UYL_`_I ~ � � !   d ��I ^ I ]_^ U J Q c ^ K c Q4U U J Q4I § c ^ U �WYXUYI� 7YU ^ IRH H ]_J IRQ �i] K | � @ �CB >ED=;F(' � � IRL_`_K @ �CB >ED=!F([KPU 6 IYQ �W U �i] K.K%HSM=[U J QSI�` ]�w c Le`_I U K K § XUYI d ]fH4UYL_`_I K�HSM�UYH QSK�TVU �WYXIRK%HfL_UK �i] U �W�XUYI # � d$� [ % �eM�K ^ IRH

@ �CB >ED=;F � � )� Z # � d$����%

�i] K � ] H4UYL_`_I UYH K �i] U �W�XIRK�Hh� d$� Kz� d   � J I `_KbH4K%QEQSK�K%H W Q c M�U W I ^ I

@ �CB >ED=;F ��� )"� � � + # � d$� � %4fH�M�UYO K�TVUYHV� d �0U�� d$���^ IRHSM4Q�U ^ �eU�TG[K ^ `eIRH K §�J I�K%LNM�K�H7¨?K © � ]_^ U W IRT ] L=U W I ^ IRH 7�UYTVIYQ4K�H

� © �¨ d ] ^ U 7RK w � ] K)� � Q c HSM c UYL_HSK�L ] M c T c w I ].]_^ W IRL+* ] LNM�I ^.] c M4I ^ U c IRQ?`_K�`=UY`_IRH `_I �i] K M�I `_IRHIRH M�Q4UYO=UYT � IRHbUYLNM�K%Q c IRQ4K%H # � � K�H J [K W%c ^ K�HPQ4K J Q4K�HSK�LNM�U�L_`_I ��� K%H J [K W�c K%H % � H4K ] HPQ4K�H ] T�M�UY`_IRHbH XUYI IYH

^ U c H W IRL�¥E[U�7YK c H d -K�HSH�U 6 IRQ ^ U� 7�U ^ IRH�UYL_UYT c H�UYQ J Q c ^ K c Q4I IRH 7YU�TVIRQSK�H `_K,� © ¢¨:IRO�M c `eIRH�U J UYQSM c Q`_IRH `=U�`_IRH `_K%HSM4K J K%H �i] c H4UY`_IRQ # M�UYO K�TVU�� d$����%&d � K%Q W K%O:K ^ IYH �i] Ku� © o¨�M�K ^ U J QSI § c ^ U�`=U ^ K�LNM�KI 7YU�TVIRQ � + � �0J U�Q�UBI 6$xK ^0] Q��=UBM�[® O c U.KbI []e^ K%Q4I d

z U ^ IRHBU �YIRQ�U K § U ^ c L=UYQBU\UYTVI ^ K%M4Q c U `=U 6 IRQ �W U ^.] H W ] T UYQ d 4 6 IRQ �W U\`_K ]_^ ^ [] H W ] T�I [K

J Q4I J IRQ W�c IRL=UYT {U H ] U [UYQ4K�U V � W d Z [IYH W IRTVKGM�U ^ IRH0K W UYT W ] T U ^ IRH.I\K §�J I K�LNM�K UYT�I ^ [K%M�Q cVW I ^ [K%` c I`=U [UYQSK�U ^0] H W ] T UYQ.U J UYQSM c QP`_K QSK�H ] T�M�U�`_IRHaU J Q4K�HSK�LNM�U�`_IRHaK ^ 7�[UYQ c IRH0UYQ M c �RIRH d £H0Q4K%H ] T M�UY`_IYHK�H M XUYI L=UBM�UYO K�T UY� d$�   d ZfI�M�U)(�H4K �i] K0UhUYTVI ^ KGM�Q c U.`=U [UYQ4K�U ^.] H W ] T UYQ M4K ^ ]_^ W I ^ J IRQ M�U ^ K�LNM�IO=UYH M�UYLNM�K Q4K�� ] T U�Q��?K�H W UYTVUYL_`_I W I ^ I � ��� . � � I �i] K K�H M [U `eK U W IRQ4`_I W I ^ IYH/7�UYT�IRQ4K%HP`eK�� © ¨J UYQ4UBIYHE`_UY`_IRH `_I 6$xK ^.] Q��=`=U0M�[® O c U0KP`eI []_^ K�QSIaIROeM c `_IRH J IRQ�� � Q c HSM c UYLeH4K�L d

ZEIYM�K �i] KIRH W I KE¥ W%c K�LNM4K�H `_K W IRQSQ4K%T U �W�XUYI J UYQ�U.I Q=[UY` c IPK J UYQ4U.U ] TVL=UPH XUYI ^ K%L_IRQ4K%H�`_I � ] KIRH`_IYHI ] M4Q4IRHfIRH4HSIRH # 7YK,*4U U M�UYO:K%T U~� d-���.%Gd ��HSH4I(L_IRH 6 U w U W Q4K%` c M�UYQ �i] KaI Q_[UY` c I KaU ] TVL=U M xK ^

� �

Page 46: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;1�����1�E���=< ���0q jlkAh�jRm�� j�� q ¡�h t{y�q m ��qu| g � j �p k y j |��)pz|3p �k � � �\pzy�q m j | j �\p h pzy�q m ��qu|�� q +�+ p k)jlk0/ %3�5 �£H4HSI © ¨ � © �¨ � © e �¨g xK ^0] Q ��d ��[ �ed   � �ed�� � �ed � ¬� [® O c U ��d ��[ �ed  �  �ed �B� �ed �B¬� KGM�U�M�UYQ4HSI ��d �B� �ed   � �ed���� �ed �  [] ^ K%Q4I ��d � � �ed   � �ed ��� �Rd �  � KGM�U W UYQ J I ��d �0� �ed-�� �ed �B� �ed � �

]_^ W I ^hJ IRQSM�U ^ K%LNM�IP`_KK�H W UYTVU.U c L_`=U ^ U c H c Q4QSK�� ] T UYQ �i] KIRH�I ] M4Q4IRH IRH4HSIRH���I �i] K U W UYQ4QSK%M�U ]_^^ U c IRQ�U 6 UYHSM�U ^ K�LNM�IB`_Kª� © �¨ K ^ QSK�TVU �WYXUYIBU�I 7�UYT�IRQ � + � �aJ UYQ4UhK%H4HSK�HE`_I c H IYH4H4IYH � d

4fH M�UYO K�TVUYH~� d � Ui� d$�.� ^ IYHSM�Q4U ^ 7YU�TVIRQSK�H `_Kk� © �¨ �i] K IRH W%c TVU ^ K ^ M4IRQ4LeI `_I 7YU�TVIRQ�ed � �ed�� ^ UYT � ] L_H W UYHSIRH�� U ` c H W Q4K JDxUYL W%c U [K%�YQ�UYL_`eK d���^ J UYQSM cVW ] T UYQ���IRHbK §�J I K�LNM4K�H.`eI3�RQ ]_J I`_IRH W K�Q�U M�I ^ IRQ 6 IYH��(K�HSM XUYI TVIRL*�YK `_K�HSH4K 7�UYTVIYQ d � IRQ I ] M�Q4I TVUY`_I*�EU M�UYO K�TVU�� d � ^ IRH M�Q4U � ] K� © c¨�� � + � � J UYQ4U 7 [U�Q c IYH �RQ ]_J IYH`_KaUYL c ^ U c H d £ ] M�QSIRH`=U�`_IRH �i] KaH ] �RK�QSK ^ I(U W I J T U ^ K�LNM�IK�LNM�QSK UEUYTVI ^ KGM�Q c U `_IRH IRH4HSIRH K UEUYTVI ^ K%M4Q c U `=U [UYQSK�U ^0] H W ] TVUYQ H XUYIfU J Q4K%H4K%LiM�UY`_IRH L=UEM�UYO:K%T U7� d$� � d� H4H4K%H `_UY`_IRH J K�QSM4K�L W K ^ UYI �YQ ]_J I(`_Ka`=UY`_IYHPQSK W IRT �_c `_IRH J IRQ 4fTVK § UYLe`_K�Q > 5 -09�V�� � W � W IYLiM ] `_I*�K�T�K�H 6 IRQ�U ^ J_] OeT cVW UY`_IRH J IRQEI d d U�L_K�L V � ��W*d

z U ^ IRH U��RIRQ�U W I ^hJ UYQ�U�QL_IRHSH�U J Q4K)7 c H XUYI(`_K �i] KZ� © c¨ � � + � � W I ^ U Q4K%T U �W�XUYI(UYL [U�TVI��NU`=U H c ^ c T UYQ c `=U�`_KBK�T8[U�HSM c�W U d ] M c T c w UYL_`_I U �_c J [IYM�K%H4K `_I � W � U � IYL `eK � ] K(U W UYQ �NU W Q�[® M c�W U `eK

K U ^ O_U �RK ^ # K � ] U �WYXUYIZ� d ¬&% [K J Q4I J IRQ W%c IRL_UYT {U ^ UYH4H4Ua`_IhUYL c ^ UYT�� K%L W IYLiM4Q�U)(�H4K �i] K"� © i �¨ � �Rd4 H�M�UYO K�TVUYHW� d �0Uª� d-��� Kh� d$� � J IRH4H ] K ^ ]_^ U W IRT ] L=U W I ^ IRH 7�UYTVIYQ4K�H�K §eJ K�Q c ^ K�LNM�U c H�`_KH� © _ �¨ d4 L=U�T c H4UYL_`_I K�HSH�UYH�M�UYO K�T U�H�� J K%Q W K%O:K?(�HSK � ] KO� © n¨ K%HSM=[U ^0] c M�I ^ U c H J Q=[I § c ^ I.`eI 7�UYTVIRQ �ed � � `eI�i] K�� © e �¨ H4KPU J Q4I § c ^ U0`_K �Rd -K�HSH�U 6 IRQ ^ U� W IRL W T ] c ^ IRH � ] K U K K § XUYI*�=K L XUYIhU K U ^ O_U �RK ^ �[KbI 6 K%L xI ^ K�L_I �i] KP` c M�UBUhU�TVI ^ K%M4Q c UP`_IRH IRHSH4IRH d

� H4H4U W IRL_K § XUYI K�LNM�QSK0UhUYTVI ^ KGM�Q c U0`_IRHEIRH4HSIRHEK.UhUYTVI ^ KGM�Q c U0`=U [UYQ4K�U ^0] H W ] TVUYQ � U(7 c UBH c `eI

J Q4I J IRH M�U J IRQ ��K�T d K%Q K � UYQ M�K%Q K ^ �.� � � V�� � W �IYH � ] U c H(K�L W IRLNM�Q4UYQ�U ^ �i] K � © ¨ � � + �B J UYQ4U H4K ] �YQ ]_J I W I ^ �   K�H J [K W�c K�Ha`_K UYQSM c I ` [U W M c T�IRH K �i] K¢� © ¨ � � + ��� J UYQ4U IRH0`_UY`_IRH0`eI� c K���K%L_K�Q W�c M�UY`eIRH�L=UM�UYO K�TVUª� d ¬ed�� LNM4Q4K%M�UYLNM�I*��U J QSK�HSK�LNM�U ^ IRH�U �i] c ]_^ W IRQ J I ^ U c IRQ `_K `=U�`_IRH��K §�J UYLe` c L_`eI UYHSH c ^ IRH QSK�H ] T�M�UY`_IRHB`_K%TVK�H d�� ^ J UYQ M c�W ] TVUYQ�� ^ IYHSM�Q4U ^ IRH �i] K U\UYT�I ^ KGM�Q c U `_IYHIRH4HSIRHBK�H M [U U W I J T UY`_U {U UYTVI ^ K%M4Q c U `=U [UYQSK�U ^0] H W ] T UYQ ^ K�H ^ I �i] U�L_`_I ^ U ^ [®�6 K%Q4IRH/�RQ4UYL_`_K%HaK

J K �i] K�L_IYH H XUYI H4K J UYQ�UY`eIRHK ^ `_I c H �YQ ]_J IRHE` c H M c LNM4IRH�� I �i] K0U W Q4K%` c M�U ^ IRHfHSK�Q U 6 IRQ ^ U W IRQ4QSK%M�U`_K UYO IRQ4`_UYQ�U �i] K�H M XUYI d ZfU J Q=[I § c ^ U HSK �W�XUYI*� ^ IYHSM�Q4UYQ4K ^ IYH �i] K K�HSH�U W IRL_K § XUYI K%LNM�Q4KEUbUYT�I ^ KGM�Q c U`_IRH IYH4H4IYH K `=U [UYQ4K�U ^0] H W ] TVUYQ M�U ^ O [K ^ [K IRO_H4K%Q 7�UY`=U K ^ U 7YK�H��_I �i] K L XUYI � U(7 c U.H c `_I0H ] �RK%Q c `eIJ IYQ ��K�T d K�Q K � UYQ M�K�Q d � |0�pzy�t{q j p � � k p h �j w � q j���� t jokuh3jom y j�� qz|3| j �{p ��?npzq�w jlk qu| jRm j w��)|3p h t � p?w jokuh3j h q�y�q m q m p?| h t{�zq mo�� % j |}p h quw�qz|�rsq m �j�� w��u| � �0qxy j wxp?w"�  r j |3q m p?qx� � p?��� j | h�jok)��j w p�p kAh p��q�|�t k q ��j |�q kAh�jOj q � t��0qz� �q h pzw q �

�� 

Page 47: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;1� ���1� ��� < ���0q jokAh�jom pz��quw#�j�h |3t � q m��Qj � ��p?|}p�~ �p?|3t{q m q m3m q m y j p�~ jom | j ��qu| h pzy�q m q ��� p?� ��� �\pzyq m pH�)p?| h t{|y�q m ypzyq m k p m | j r8�j | jlk)� t{p m � t h pzyp ml�

� : :<. = > ?(=A@B>GIH14JAK 9�� ? \�� '0L C D '0L ? % '0LOP0\GIH14JAK 9 = � D %�� '0L C ? '0L ? ' '0LOP�PGIH14JAK 9�� ?�D � '0L C D '0L ? Q '0LO[�PGIH14JAK 9�� ?�? � '0L ? [ ? '0L ?MC D '0LO[(' DS XZW�X .�� Y 9 :<.�� ? \�� '0L C D '0L ? Q '0LO[�PS XZW�X .�� Y 9 :<. = � D %� '0L ? P '0L C ' '0LRQ�QS XZW�X .�� Y 9 :<.�� ?�D � '0L ? P '0L ? Q '0LO[('S XZW�X .�� Y 9 :<.�� ?MC � '0L ? P '0L ?�? '0LO[ CS XZW�X .�� Y 9 :<.�� ?�? � '0L ? Q(N '0L ?�D N '0LO[(' QS Y 9 :<.;J71� Y � Y 9�:<.�� ?�D � '0L ? [ '0L ?MC '0LO[('T]^J71_98. Z � ? \�� '0L ? P '0L C N '0LRQ�\T]^J71_98.�� ?�? � '0L ? N�[ '0L C ? ' '0LON;Q C]^3Zb Y Z � ? \�� '0L ? N '0L C ? '0LON�%]^3Zb Y � ?�? � '0L ? %0\ '0L ? P ? '0LON�N('� t k)� � � t k yq�p�~ jom`h | ���u�D p k t{wxp?t m�� qzw �� 1�����c�

����� G �Mj � �sotq� n u j#� j#���Ij��=��� n .#�"�

4 M�[K U �i] c ` c H W ] M c ^ IRH U J K%L=UYH I J QSIRO_T�K ^ U `=U UYT�I ^ KGM�Q c U `_IRH IRHSH4IRH K ^ ^ U ^ [®�6 K�QSIRH d ] ^W I ^hJ IRQSM�U ^ K%LNM�I H c ^ c TVUYQ [K IRO_HSK�Q,7YU�`_I L=UYH U(7RK%H d z c ^ IYH�� L=U M�UYO K�T Ul� d$�   � �i] K U [UYQSK�U `_IYH

^ [] H W ] T�IRHa`=UYH J K�Q4L_UYH `=U�H U(7RK%H �i] K W IRQSQ4K ^ M�U ^ O [K ^ K�H W UYTVU W I ^ � ��� . � d ZfU\M�UYO:K%T Uk� d$� �*�U J QSK�H4K%LNM�U ^ IRH ]_^ U W I ^ J c T U �W�XUYIh`_K0`=UY`eIRHH4IYO_Q4KBUYT�I ^ K%M�Q c Ua`_IRH IRH4HSIRH K ^ U(7RK�H d 4fH J IRH c �WYXIRK%HL_IhK�H �i] K%TVKGM�Ih`_IRH IRH4HSIRH ^ K%L W�c IRL=UY`_IYH L=U0M�UYO K�TVU`� d-� �hK%HSM XUYI c T ] H M�Q4UY`=UYH L_IhU J#xK�L_` c�W K � d

z K ^ IRH �i] K I K §�J I K�LNM�K `_U 6 IRQ �W U `_K K K § XUYI IRO K�`eK W K {U Q4K%T U �W�XUYI�� © �¨ � � + � � M�UYLNM4I

J UYQ4U I M c O c IYM�UYQ4HSI �i] UYLNM�I J UYQ�U I M�UYQ4HSI ^ KGM�U�M�UYQ4HSI d £ 6dxK ^0] QU J Q4K%H4K%LiM�U ]_^ W I ^ J IRQ M�U ^ K�LNM�I

c LNM�K%Q4K%H4H�U�LiM4K d � UYQ4UBUYH U(7RK�HEK ^ �RK�Q4UYT V �B� W �_IBK §�J I�K%LiM4K J UYQ�U @ �CB >ED=;F [K � + � � � ^ UYH J UYQ�UBUYH U(7RK%H�i] K W IRQSQ4K ^ V  c[ W � U 6 IRQ �W U �i] K W U ] H�UhU K K § XUYI J UYQSK W KPHSK�Q I J K%H4I # @ �CB >ED=;F ��� %Gd � HSM�UhQSK�TVU �WYXUYIJ UYQ4U UYH U(7RK�H �i] K W IRQ4QSK ^ [K QSK 6 IRQ �W UY`_U J K�TVI H4K�� ] c LiM4K QSK�H ] T�M�UY`_I Je] O_T c�W UY`eI J IRQz«PU M�K�Hl' V ��[ W ���� � � � � �EJ UYQ4UBI 6$xK ^.] Q `=UYHEU(7RK%H �i] KPL XUYI 7RIRU ^ d

� K�L_`eI K ^ 7 c HSM�UBI 7�UYTVIYQ `_Kª� © �¨ J UYQ�UaIRH IRHSH4IRHE`=UhUYH�U # []e^ K%Q4IBK ] TVL=U % �_L [IYH J Q4K�7 c ^ IRH

�i] K U [UYQSK�U `_IRH ^ [] H W ] TVIRH `_U UYH4U K�H W UYT U �RK%I ^ KGM�Q cVW U ^ K%LiM4K # [U�Q4K�U `_I ^ [] H W ] TVI � ����� � � %Gd��L 6 K�T c w%^ K%LiM4K � L XUYI K�L W IRLNM�Q�U ^ IRH `=UY`_IYH�H4IYO_Q4K U.UYT�I ^ KGM�Q c U`=U [U�Q4K�U ^0] H W ] TVUYQ K ^ ^ [] H W ] T�IRH `_UUYH�U J UYQ4U0M�K�H M�UYQ K%H4H�U �_c J [IYM�K%H4K d�eU�T c K%LNM�U ^ IRH �i] K K�LNM�QSK M�I `_IRH IRH0K §eJ I K�LNM�K%H W�c M�UY`_IRH L=U M�U�O:K%T U_� d-� �� IRH.QSK�H ] T�M�UY`_IRH0`eK£T ^ IRHfK W IRT U�O:IRQ4UY`_IRQSK�H V �B� W H XUYI IRH ^ U c H W IRL?¥E[U�7RK c H�� *_[U � ] KaK�H4HSK�H J K�H �i] c H�UY`eIRQ4K%H ] M c T c w UYQ�U ^]_^ W IRL+* ] LNM�I ^0] c M�I ^ U c IRQ�`_K `_UY`_IRH `_I �i] K IYHEI ] M�QSIRH d ��I ^ c H4H4IhK ^ ^ K%LiM4K � [K c LNM�K%Q4K%H4H�U�LiM4KL_IYM�UYQ �i] KIYH�Q4K%H ] T M�UY`eIRH�`_K%TVK%H U J QSK�H4K%LNM�U ^ K §�J I K�LNM4K�H O K ^ W UYQ4U W M4K�Q�[® HSM cVW IRH J U�Q�U.IRH IRH4HSIRH `=U�HUYH�U�H # �ed ¬&��% Kb`=U J K%Q4L=U # ��d � ��%Gd

�B�

Page 48: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;1� ���1� ��� g �{qzw j�h |�t\p�yp�w�p m�m p�y�q jRm � �j � jlh q 2 � � < j w r �k ��znp?q�y)pxwxp m3m p � qz|3��qu|3pz� 2 � <K� k �j q k �� w j |3qy j^jRm � �jo� t jRm q ��k �� w j |3q�y j^jom �Q�jo� t�w jRm ��y j � jok y jlk y�q�y�qxp?| h t{�zq � |��j q � q jl��� t jlkAh�j y j�� qz|3| j �{p ��?npzq �

4 L c ^ U c H L � UYHSH�UYH # d � % � �i] U �WYXU�I Q g IYLiM4K� K c § K�H ��� �ed ��� ��( �Rd   ��� ��� � � + � ��� � � � � � # ( V � ¬�W� K c § K�H ��� �ed � [c[�( �ed ¬ [�� ��� � � + �.� ����� . � �ed ��  V � �)W4 L 6 [® O c IRH � [ �ed ��� [�( �ed � ��� ��� � � + � �c[ ¬ � � � �$� � �ed �B¬ V � � W4 L 6 [® O c IRH = ¬ �ed ��� [�( �ed � ��� ��� ��� ��� # � . ( V � � W4 7RK%H � ��� ��d���� � � ( � ��d��   ��� � � + �B¬ [ � � � � � � �ed ��� � V � �AW� U ^ [®�6 K�QSIRH � � �ed ���B¬ ( ¬B¬���� ��� � � + �B¬ � � � � � # � �ed ���   V � �AW� j � ��jlh q�� ��� � ����� � ��� �V �� � � �� � �

��� � G �Mj � �sotq� n uyn � n ��� n u j �"�.HKJE���A�sowj] ^ U c L 6 IRQ ^ U �W�XUYI �i] K � U J Q c L W [®VJ c I*� J I `_KhH4K�QP`_K �RQ�UYLe`_K%7�UYT c U L_I K�H M ] `_I `=U UYT�I ^ K%M�Q c U `_IYHIRH4HSIRH [KaU UYT�I ^ KGM�Q c UB`=U ^ U�H4H�U `eI K%H �i] K%TVK%M4I d £ H `_UY`_IRH W IRTVKGM�UY`_IYHH4IROeQ4KaK�H M�KBUYHSH ] LNM4I K%HSM XUYIQ4K%H ]_^ c `_IYH L=UBM�UYO K�T U`� d-� [ d

4 IRO_H4K%Q 7�U �W�XUYI ^ U c H c ^hJ IRQSM�UYLNM�K � ] K�M�K ^ IRH U 6 U w K�Q H4IRO_QSK K�HSH4K%H `=UY`_IRH H4K QSK 6 K%Q4K�{UfK �i] U �W�XUYIJ UYQ4U IRH ^ U ^ [®�6 K�QSIRH d -IRH � � UYL c ^ U c H � ] H�U�`_IRH J IRQ � Q�U�L*�RK > 5 -09 �^�0� M xK ^ ^ UYH4H4U c L 6 K�Q c IRQ U�   ��� d £HbUYL c ^ U c H W I ^ ^ UYHSH�U ^ U c IRQ � ] K �   ��� H XUYI ]_^ W U W � IRQSQ4I # � �   � ��� % � ]e^ W U�HSM�IYQ# � �  �� ��� % � ]_^ � I ^ K ^ # � �­¬&� ��� % K ]_^ K�T�K 6 UYLNM�K # � �­¬B¬���� � �!%&d £ K�TVK 6 UYLNM�K M�K ^ ]_^ U

^ U�H4H�U ^0] c M4I.H ]_J K%Q c IRQ UYIYH�`_K ^ U c H�U�L c ^ U c H�`=U T c H M�UPK I W U W � IRQSQ4IaK I � I ^ K ^ M xK ^ K%H �i] K�T�K%M4IRH^ U c H J K�H4UY`_IRHE`_I �i] K IBK%H J K�Q�U�`_I J UYQ�UaH ] UYH ^ UYHSH�UYH��=`_K�H,7 c UYL_`_I� UYH4H c ^ �=U W ] Q,7YU J UYQ4U W�c ^ U d

] M c T c w UYL_`_IhU J K�L=U�H IRHf`=UY`_IRHf`_IRH ^ U ^ [®�6 K%Q4IRH W I ^ ^ UYHSH�U c L 6 K�Q c IRQ U �   ��� � K�L W IRLNM�Q4U ^ IYHUaQ4K�TVU �WYXU�I � ��� � � + ��¬ � � � � � � Z ��� � + ��� � Z # � d$�.�&%IRL_`_K ��� [K U ^ UYHSH�U0`_IaK%H �i] K�T�K%M4IhK � U ^ UYHSH�U W IRQ J IRQ�U�T d -K%H4H4U 6 IRQ ^ U��U J K%H�UYQ�`_IaK §�J I�K%LiM4K�Rd ����� K�L W IRLNM�Q�U�`_I J IRQ���Q4UYL*�RK > 5 -09 H4K%Q ^0] c M�I W�c M�UY`eI L=UBT c M�K%Q�U�M ] Q�U V ��C� ¬ �C� ��W �:U W QSK�` c M�U ^ IRH

�i] K �Yd��   [K ]_^ 7YU�TVIRQ ^ U c H U J Q4I J Q c UY`_I d

� H4HSKbQ4K�H ] T�M�UY`_IBTVK)7�UhU ]_^ U c LNM4K�Q J Q4K%M�U �WYXU�Ih`eIRH `=UY`_IRH ` c 6 K�QSK�LNM�Kb`=U ] L c 7RK%Q4H4UYT ^ K�LNM�K 6 K c M�UL=U T c M4K�Q�U M ] Q4U d 4 c LNM�K%Q J QSK%M�U �WYXUYI ` c 6 ] Le` c `=U(L=U T c M4K�Q4U�M ] Q4U [K U `eK �i] K U ^ UYH4H4U `_I K%H �i] K%TVK%M4IL_IRH ^ U ^ [® 6 K�Q4IYH0K�H W UYTVU ^ U c HaQ_[U J c `_I `_I �i] K U ^ UYHSH�U W IRQ J IRQ4UYT d ��IRLNM ] `_I*� U K �i] U �WYXUYIo� d-��^ IYHSM�Q4U �i] K��:K ^ ^ U ^ [® 6 K�Q4IYH J K �i] K�L_IYH�� U ^ UYH4H4Uh`_I K�H � ] K�TVKGM�I [Kb` c Q4KGM�U ^ K�LNM�K J QSI J IRQ W%c IRL=U�T^{U^ U�H4H�U W IRQ J IYQ�UYT d ��L 6 K�T c w�^ K�LNM�K�� L XUYI K�L W IRLNM�Q4U ^ IYH `=UY`eIRH HSIRO_Q4K U ^ UYH4H4U `_I K%H �i] K%TVK%M4I K ^^ U ^ [® 6 K�Q4IYH �YQ�UYL_`eK�H J U�Q�U W I ^ J UYQ�UYQ I W I ^ J IRQSM�U ^ K�LNM�I `_IRH UYL c ^ U c H �RQ4UYL_`_K%H W I ^ I `_IYHUYL c ^ U c H J K �i] K%L_IRH d

��g � jRm pz| y�q m p ��h qu| jRm | j �{p h pz| j w h3j | �)m puy�q � � p k t{wxp?t m �)pz|3p�q ¡�h3j | q j ���0q jokAh�jP1u� 3 � � k q m`jo� p?| h t{�zq m �qpz�)p?| jo�lj w;ypuy�q m y j �M� p k t{w�pzt mo�� � ��h |}p yt r j | jok �� p jlkAh | j p j � � p ��?np?q jlk)� q kAh |}pzy)p��0qz| j � jRm j p j � � p���?npzq )�F1 � �j � �j�k �q mQ�+�lj w q m w#�j y�t\p m yp my�t{w jlk)monq jRm y�q m q m�m q m y j p k t{w�pzt m y)p w jRm wxp jom � �jR� t jz�

�0�

Page 49: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ����������� �

� � � � � ��� � � � � � � ��� � ���

ZfI W U J [� M ] TVI UYLNM�K%Q c IYQ���7 c ^ IRH W I ^ IU U�TVI ^ K%M4Q c U `_IYH IRH4HSIRH K�H M [U W IRL_K W M�UY`_U {U UYTVI ^ K%M4Q c U `_U [UYQ4K�U

^0] H W ] TVUYQ d�� LNM ] c M c 7�U ^ K�LNM�K���K%H J K�Q�U���H4K �i] KU0UYTVI ^ KGM�Q c U `_IRH IRHSH4IRH�K�HSM4K,*4U0QSK�T U W�c IYL=UY`=U M�U ^ O�[K ^{U TVI W I ^ I �WYXU�I `_IRHPUYL c ^ U c H�� J I c HUYH ^ U c IRQSK�H 6 IRQ �W UYH �i] KhU �YK ^ LeIRH IRH4HSIRHbI W IRQ4QSK ^ ` ] Q�U�LiM4KhUTVI W I ^ I �W�XUYI d � HSM�U c ` [K c U 6 I c J Q4I J IRHSM�U J IRQ 7�[UYQ c IRHbU ] M4IRQ4K%H�� K�LNM�QSK%M�UYLNM�I*� L XUYI � [U L_U T c M�K%Q�U�M ] Q�UL_K�L � ]e^ UBK�7 c ` xK�L W%c U �i] K.U W IRQ4QSIRO:IYQ4K d

z c ^ IRH��iL=U0HSK �WYXU�I! d ['� �i] K ]_^ U W UYQ�U W M�K%Q�[� H M c�W U �i] K` c 6 K�QSK�L W%c U0U.UYTVI ^ K%M4Q c UP`_IYH IRH4HSIRH `=U�HI ] M4Q�UYH QSK�T U �WYXIRK%H UYTVI ^ [KGM�Q c�W UYH [KBU K#" c H M xK%L W�c U(`eKaQ4K�� c ^ K�H`_KaK%H W UYT U ` c HSM c LNM�IRH J UYQ�U ^ U ^ [��6 K�QSIRHJ K �i] K�L_IYH K �RQ4UYL_`_K%H d ��K\U UYTVI ^ K%M4Q c U `_IRH(IRHSH4IRH 6 IRQ��f`_K 6 U�M4I*� `eK%M�K%Q ^ c L=U�`=U J K%T UYH 6 IYQ �W U�H�i] K U �YK ^ L_I K%H �i] K%TVK%M4I �i] UYL_`_I I UYL c ^ U�T W IRQSQ4K � [K `_K H4K K�H J K�Q4UYQ �i] K �RQ�UYLe`_K w UYH.T c �NUY`_UYHp{UTVI W I ^ I �W�XUYIM�U ^ O�[K ^ HSK W I ^hJ IYQSM�K ^ `_K 6 IRQ ^ U` c 6 K�QSK�LNM�K J UYQ4U ^ U ^ [��6 K%Q4IRH J K �i] K%L_IRH K1�YQ�UYL_`eK�H dZfK%HSM�K W U J [� M ] TVI*� U J Q4K%H4K%LiM�UYQ4K ^ IYHP`_UY`_IRHbK#" J K�Q c ^ K�LNM�U c H �i] K * ] HSM c%$=W U ^ K%H4H�U J Q4K)7 c H XU�I*�?H4K�Le`_IK�HSH4K ]_^ Q4K%H ] T M�UY`eI c L [K%` c M4I L_U T c M�K�Q4U�M ] Q�U d � ^ H4K�� ] c `=U � ` c H W ] M c Q4K ^ IYH%7�[UYQ c IRH UYH J K W M�IRH `_UTVI W I ^ I �W�XUYI `_IRH UYL c ^ U c H K 7RK%Q4K ^ IRH � ] K U c L_`=U � [U ^0] c M�I I �i] K H4K%Q W I ^ J Q4K�K%L_` c `_I LeK�H4HSK

W U ^hJ I d

+ �'& G iUj*k)( 0mln j (7kporq*( n �Mj iUj � j,+i ln j ( n n �Mj � (sotq� n u j.-j/-�-wj/-

0 0H4 054 1 ?EMS91X FHT�L�T�? G VL ACFHG�L2H ^ K�T � IRQSK�H `=UY`_IYH �i] KPK�L W IRLNM�Q4U ^ IRH L=UhT c M4K�Q�U M ] Q4U0H4IRO_QSKPU 7YK�TVI W�c `=UY`_K ^ [U3" c ^ U.`_IRH ^ U ^ [� �6 K�QSIRH K�H M XUYI J T�IYM�UY`eIRH�L=U $ � ] Q�U�4 d$�Rd � TVK%H 6 IRQ4U ^ Je] O_T c�W UY`eIRH K ^ �.� �� J IRQ � � K�I `_IRQ4K65bUYQST UYL_`7 Q d K ` c w K ^ Q4K�H J K c M4I U �.��8B^ U ^ [� 6 K�Q4IYH V ��W*d ��K�� ] L_`_I I J Q_[I J Q c IhU ] M�IYQ��=IRHE`=UY`_IYH J K W U ^ K ^J Q4K W�c H XUYI*� ^ UYHbM xK ^ U37�UYLNM�U �RK ^ `_K K%L*�RTVIYO=UYQbM�I `=U U T c M4K�Q4U�M ] Q4U `_U [K J I W U HSIRO_Q4K I UYHSH ] LNM�I d4 J K�H4UYQB`=U c ^hJ Q4K W�c H XUYI*��IRHa`=U�`_IRHB`_K ^ IRL_H M�Q4U ^ ]_^ U M�K%L_` xK�L W�c U O K ^ 7 c H�[� 7YK�T:9(U 7YK�TVI W�c `=UY`_K

�[

Page 50: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

0 1 100 10000Massa (kg)

1

10

100

Vel

ocid

ade

max

ima

(km

/h)

50 kg

��������� � ������ # j �{q � t{y)pzy j w��pC��t�wxp��� ������ w�p m�m p � qz|3��qu|3pz� j w � q qz|}y jok pzyp m �{qz�Ap?|��  h w�t � p m ��p?|}p 1S3�� wxp?w"�  r j |3q mo� pzy�q m y j�- p?|3�\p k y / ��5 �

^ [U�" c ^ U W Q4K%H W K W I ^ U ^ U�H4H�UBU�M�[K W � K��NU�QfU ]_^ ^ [U3" c ^ I*��U J UYQ M c Q `eKPIYL_`_K K�TVUa` c ^ c L ] c # 7RK *4UU $ � ] Q4U/4 d$��%&d

2 W I ^hJ IRQSM�U ^ K%LNM�I`_K K%H W U�T U`=U 7RK%TVI W�c `=UY`_K ^ [U3" c ^ U ` c 6 K�QSK O=UYH M�UYLNM�K `_K M4I�`eIRH IRH I ] M�Q4IYHU�M�[K�U �i] c ` c H W ] M c `_IRH�� J I c H K�H M�K [K I [] L cVW I W UYH4IK ^ �i] K U17�UYQ c [U�7RK%T�K%HSM ] `=UY`=U W Q4K%H W K W I ^ U ^ UYH4H4U

J UYQ4U UYT � ]e^ UYH ^ U�H4H�U�HKa` c ^ c L ] c J UYQ4U I ] M4Q�UYH d�& I��RI� UYHSH c ^ W I ^ I U UYT�I ^ K%M�Q c Uh`_IRHIRHSH4IRH�� UUYTVI ^ KGM�Q c U `=U 7RK%TVI W�c `=UY`_K ^ [U3" c ^ U J IYH4H ] c `_I c H QSK�� c ^ K%H�`_KfK�H W UYTVU.` c H M c LiM4IRH d � UYH�� � ] UYT:HSK�Q_[UaU

6 Q4IRLNM4K c Q4UaK�LNM�QSKPK%H4HSK�H `eI c H QSK�� c ^ K%H��

5bUYQ4TVUYL_`(U�* ] HSM�I ] ]_^ J IRT c L xI ^ c I `_IhH4K�� ] L_`eI �RQ4U ] UYIRH `=UY`eIRH KPIYOeM�K)7RK UBK �i] U �WYXU�I��� ��� �= > � + 4 � �� ��� � + �0[�� � � #���� ��� % � + � 8 � � #���� ��� % � Z # 4 d-��%

IRL_`_K � �=;> [KaU 7RK%TVI W�c `_UY`_K ^ [U3" c ^ U K ^ � � !�� K � [K0U ^ UYHSH�U W IYQ J IRQ�UYT K ^ ��� d ] M c T c w UYL_`_IK�HSH�U0K#" J QSK�HSH XUYI*� 5PUYQST UYLe` K%L W IRLNM4Q4I ] �i] K U ^ UYH4H4U �i] K ^ U3" c ^ c w U � �=;> [K ���.� � �:d � LiM4Q4KGM�UYLNM�I�U $ � ] Q4U 4 d-�E^ IYHSM�Q4U �i] KfI ^ [U3" c ^ IK�H M [U ^ U c H J Q_[I " c ^ I `_I 7�UYTVIRQ^[ � ��� �NH4K�Le`_I K%H4H4U.U J QSI " c ^ U3�`=U ^ K�LeM4K.U ^ U�H4H�Uh`_I � ] K J U�Q4`_I*� I ^ U c H 7RK�T�I w `eIRH ^ U ^ [��6 K%Q4IRH d 4 W Q4K�` c M�U ^ IRH�� J IYQSM�U�LiM4I*� � ] KU ^ UYHSH�U(`_K#[ ����� [KBU 6 QSIRLNM�K c Q�U K�LNM4Q4K ^ U ^ [� 6 K�Q4IYH J K �i] K�L_IYH K �RQ4UYL_`_K%HPLeI �i] Kh` c w Q4K�H J K c M4I{U UYTVI ^ K%M4Q c U `=U 7RK%TVI W�c `=UY`_K ^ [U3" c ^ U d ZfIYM4K �i] KN[ � � � [K(U ^ K%H ^ U 6 Q4IRLNM�K c Q4U H ] �RK%Q c `=U J IRQ� � Q c HSM c UYL_HSK�L J UYQ4UB` c 7 c ` c Q IRH ^ U ^ [��6 K�QSIRH K ^ �RQ�U�L_`_K�H K J K �i] K�LeIRHfL_U UYT�I ^ K%M�Q c UP`_IRH IRH4HSIRH d

8

Page 51: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;1�������� < ����q jlkAh3j pz��quw#�j�h |3t � q yp rs| j ���� �jlk�� t\p y j �)p m�m q m wL�p?��t�wxp 2���� � ��� + � ��� < | j�h t�|}pzy�qOy j ~Q�pz|�t\p m rsq kAh3jomo�|H�j q � q jl��� t jlkAh�j y j�� qz|3| j �{p ��?npzq �4 L c ^ U c H � UYHSH�U # d � % � " J I�K%LiM4K Q g IRLNM4K

] L*� ] T UY`_IYH `_K � � U �.����� � + � ��� � + ��� �ed�� � V 4 ��WU(7RK�H `eK ��d��&� [BU 4 � �\[ � + � ��� � + �'8 � V �0[ W^ U ^ [� 6 K�Q4IYH `_K �ed � BU � ��� � + �'8 ��� � + � � 8 �ed � 4 V 4 �AWO�[�VJ K�`eK�H `_K �ed � 4 [0U ��� � + ��� ��� � + ����� �ed ��� V 4�� W

0 0H4 0 �C;O? ���7��?EICX FSL,T�? 8CL�P>P>9 P��L��<?EMH91X FST�L�T�? G VL A F5G�Lg c w K ^ IRH ]_^ U QSK�7 c H XUYI `=U T c M4K�Q�U M ] Q4U(HSIRO_QSK U UYTVI ^ KGM�Q c U `=U 6 Q4K � �]#xK%L W�c U `eK J U�H4H4IYH ^ [U3" c ^ U��#���� = � � F � �=;> % K(K�L W IRLNM�Q4U ^ IRH ]_^ W I ^ J IRQSM�U ^ K�LNM�I ^0] c M�I QSK�� ] TVUYQ d 4 M�UYO K�T U 4 d$� U J QSK�H4K%LNM�UIRHP`=UY`_IRH K�L W IRLNM�Q4UY`_IRH d � H4HSK�H0QSK�H ] T�M�UY`_IRH H XUYI c LNM�K%Q4K�HSH�UYLNM4K�H�� J I c H ^ IRH M�Q�U ^ � ] K � U J K�H4UYQ.`_UK#" c H M xK%L W�c Uh`_KP`_I c H Q4K�� c ^ K�H `_KPK�H W UYTVU J UYQ�U � �= > �=I W I ^hJ IRQ M�U ^ K�LNM4Ia`_K K%H W UYT Ua`=U ��� = � � F � �= >[Kb`_K�H W Q c M�I J IYQ ]_^ U [] L cVW UaT�K c `_K J IYM xK%L W�c U J UYQ�U0M4I�`_IYH ^ U ^ [��6 K%Q4IRH�KbU 7YK�H�� UaH�U�O:K%Q 9

��� = � � F � �=;>�� � � ��� � . + # 4 d � %4fTG[K ^ `=UYH ^ K�` c `=UYH ` c Q4K%M�UYHb`_K ��� = � � F � �= > U J Q4K%H4K�LNM�UY`=UYH L=U M�UYO K�TVU 4 d-� � J QSI J I ^ IYH � ] K

I ] M4Q4IRH�M�Q xK�H?Q4K%H ] T M�UY`eIRH?K#" J K%Q c ^ K%LiM�U c H�H ]_J IRQSM�U ^ U Q4K%T U �W�XUYI K#" J Q4K%H4H4U J K�T U K � ] U �WYXUYI 4 d � d 4 J K�H�U�Q`_K IRH(U ] M�IRQSK�H `_IRH(`=U�`_IRH(U H4K%Q4K ^ ` c H W ] M c `_IYH L XUYI M�K%Q4K ^ J K%Q W K�O c `_I*�EH4K ] H QSK�H ] T�M�U�`_IRH H XU�IK�7 c ` xK�L W%c UYH c L_` c Q4KGM�UYH�`_I0K " J I K�LNM�K � + � � J UYQ�U U 6 QSK � �]0xK�L W%c UP`_K J U�H4H4IYH�{U 7YK�TVI W�c `=UY`_K ^ [U3" c ^ U d

�Rd� Q c ^ K c Q�U K�7 c ` xK%L W�c U c L_` c Q4K%M�U

4 J IYM xK�L W%c U ^ K%M�UYO [IRT cVW Ub` ] Q�UYLNM4K U.TVI W I ^ I �W�XUYI 6 I c `_K�H W Q c M�U J IRQ � U"! TVIYQ K W IRT U�O:IRQ4U3�`_IRQSK�H W I ^ I V 4� W # B GI= Z *F%$ ? � =&$CF � F �F('8 D=;F�

� � # � % ' � � � # � % Z # 4 d %IRL_`eK � � # � % K � � # � % H XUYI ` ] UYH 6 ] L �W�XIRK�H�`_K � K � [K U 7RK%TVI W�c `=UY`_K `eI U�L c ^ UYT d QSI J I ^ IRH

]_^ U 6 IRQ ^ U ^ U c H c LiM ] c M c 7�U.`_KbHSK IRT � UYQ J UYQ�UaK�HSH�U ^ K%H ^ U0Q4K�TVU �WYXU�I# B GI= Z *F)$ ? � =&$CF � F �F*'8 D=;F a � � = � � F ' ��� = � � F � �,+� # � % Z # 4 d 4 %IRL_`eK a � � = � � F [KBU K�L_K%Q�� c U �RUYHSM�U J IRQ J UYH4HSI J K�T�IRH ^ [] H W ] T�IRH�� ��� = � � F � [KhU 6 Q4K �-�]#xK%L W�c U(`eK

J UYHSH4IRHbK � +� # � % [KaU J I�M xK�L W�c U ^ KGM�UYO [IYT cVW U �NUYH M�U J K�TVUYHI ] M4Q�UYH J UYQSM4K�H `_I W IRQ J I d ] ^ U7RK w � ] KfUK%L_K�Q � c U �NU�HSM�U J K�TVUYH I ] M�Q�U�H J UYQSM4K�H�`_I W IRQ J I M�K ^ ]_^ U 7YU�Q c U �WYXUYI J K �i] K%L=U W I ^U 7YK�TVI W�c `=UY`_KPK ^ QSK�T U �WYXUYI {U 7�UYQ c U �WYXUYIh`=U K%L_K�Q � c U W IRLeH ]_^ c `=U J K%TVIRH ^ [] H W ] T�IRHEK W I ^ I IM�K%Q ^ I � +� # � % W IRQ4QSK�H J IRLe`_K {U J IYM xK�L W%c U ^ KGM�UYO [IRT c�W U `_U T�I W I ^ I �WYXUYI L_I T c ^ c M�K �/. � �J I�`_K ^ IYH U J Q4I " c ^ [U3��T�I J K%T U J I�M xK�L W�c U ^ K%M�U�O [IRT c�W U `_KEQ4K J I ] H4I d -K%H4H�U 6 IRQ ^ U�iUPK �i] U �W�XUYI4 d 4 J I `_KbH4K%QEQSK�K%H W Q c M�U W I ^ I

f g rs| j �0�� �jlk)� t{pOy j �)p m3m q m���h t{�{t � pzyp�� � p k y�q�q^p k t�wxpz� � qz|3| j �p�~ j ��q � t\ypuy j wL�p?��t�wxp"�j p�rs| j ���� �jok)� t\pOy j �)p m3m q mw��pC��t{wxp � �j^j � j^� q k)m�j � �j pz� � p k �� p?| �

Page 52: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

# B GI= Z *F%$C? � = $'F � F �F*'8 D=!F a � � = � � F ' ��� = � � F � # B GI= Z *F%$ ? � = � B � F � � F Z # 4 d [ %IRL_`eK

# B GI= Z *F$ ? � = � B � F � � F [KPU J IYM xK�L W%c U ^ K%M�U�O [IRT c�W U.`eI UYL c ^ UYT K ^ Q4K J I ] H4I d

UYQ4U 7RK�T�I W%c `=U�`_K�H $ H c IRT�I�� c�W U ^ K�LNM�KEK �i] c 7�UYTVK%LiM4K�H�� a � � = � � F [K J QSI J IRQ W%c IRL=U�T {U ^ UYH4H4U

W IYQ J IRQ�UYT V 4 �uW d 4 T�� ] L_HfU ] M4IRQ4K%H �i] K%HSM c IRL=U ^ I H c �YL c%$=W UY`_Ih`_I M4K�Q ^ I I0>z9 J 2z1������U>���Bz1 J 9 J�T0132���L>� 5 >�>�����8I�09 >� 5 >�V ��W d ] ^ U `_K $ L c �WYXUYI ^ U c H J Q4K W�c H4U J I�`_KEH4K%Q 9�UYL c ^ U c H ` c 6 K�QSK�LNM�K%HW IYQ4Q4K ^ U 7YK�T�I W%c `=UY`eK�H $ H c IRT�I�� c�W U ^ K�LNM�K�K �i] c 7�UYTVK%LiM4K�H �i] UYLe`_I K�T�K�H W IYQ4Q4K ^ W I ^ I ^ K%H ^ I7�UYTVIYQf`_K a � � = � � F ! � d -K�HSM4K J IRLNM�I `_K�7 c HSM�U � fK��RT ] L_` K � U"!�T�IRQ`_K ^ IYL_HSM4Q�UYQ4U ^ � ] KBU7RK%TVI W�c `=UY`_K J Q4K 6 K�Q c `=U J UYQ�U M�QSIYM�UYQ��RU 7RK�T�I W%c `=U�`_K `eK M�Q4UYL_H c �WYXU�IfM�QSIYM�K �$�NU�TVI J K ��U17YK�TVI W�c `=UY`_KJ QSK 6 K�Q c `=U J UYQ�U��NU�TVI J U�Q KbU 7YK�TVI W�c `=UY`_K ^ [U3" c ^ UPH ] H M�K�LNM�UY`=UBUYK�QSIRO c�W U ^ K�LNM�K H XUYI 7RK%TVI W%c �`=UY`eK�H $ H c IRTVI � cVW U ^ K%LeM�K K �i] c 7�UYT�K�LNM�K%H d�eUYO K ^ IRH �i] KPU J IYM xK%L W�c U ^ KGM�UYO [IRT c�W U {U 7YK�T�I W%c `=UY`eK ^ [U�" c ^ UPH ] H M�K%LiM�UY`=UhUYK�QSIRO c�W U3�^ K�LeM4K # # B GI= Z *F$C? � = �= > % IRO K�`_K W K {UhQSK�T U �WYXUYI � V 4 4 W# B GI= Z *F$ ? � = �=;> � + � 4 � ��� � # Z # 4 d 8&%IRL_`eK

# B GI= Z *F%$C? � = �= > [K `=U�`_I K ^ � ��� � ' & � � K � K ^ ��� d Z UYH ^ K%H ^ UYH ] L c `=U�`_K�H���UJ IYM xK%L W�c U ^ K%M�UYO [IRT cVW U.`_KPUYL c ^ U c H�K ^ Q4K J I ] H4I [K V 4�4 W

# B GI= Z *F$C? � = � B � F � � F � + � ��� � ��� � � + # 4 d ��%ZfI�M�K �i] K # B GI= Z *F$ ? � = � B � F � � F [K �.� 7YK w K�H ^ K%L_IRQE`_I �i] K # B GI= Z *F%$ ? � = �=;>BK�� J IRQSM�UYLNM�I*�

J I�`_K\H4K%Q `_K%H J QSK w U�`=U d 4fH4H c ^ � ] H�UYLe`_I U J QSI J IRQ W%c IRL=U�T c `_UY`_K K�LNM4Q4K a � � = � � F K � {U7RK%TVI W�c `=UY`_K ^ [U�" c ^ U H ] HSM�K%LNM�UY`=U U�K�Q4IYO cVW U ^ K%LNM�K � U K �i] U �W�XUYI�4 d [ K � ] K ��� = � � F � �= >/�� � ��� � . �=K%L W IRLNM4Q�U ^ IRHEUaH4K�� ] c LNM�KbQSK�T U �WYXUYIhU J QSI " c ^ U�`=U 9

# B GI= Z *F%$C? � = �= > � � ��� . � Z # 4 d � %�i] KbK�H M [U `eK U W IRQS`_I W I ^ UaQSK�T U �WYXUYIBK#" J K�Q c ^ K�LNM�UYT # K �i] U �WYXUYI/4 d 8&%Gd

�6g �0q h �jlk)� t{pQw j�h p ¡ �qu��t � p w��pC��t{wxp 2�� &9/1� D �+4#' � � ��� < rsqzt?w j yt{yp ��qu| � p�� �{qz| j.� qz�\p ¡ qz|}pzy�qu| jRm)j w 1=� jom �Q�jo� t jRmy j p k t{wxp?t m6m`j ��~Cpz� jlk�m j � y�qzw��jRmvh t � q mo� % q k)m t\y j |3p k y�q^p?� jlk p m p m?1��^jom � �jR� t jom y j p k t{wxp?t m6m`j ��~Cpz� jlk�m �zp j � � p���znp?qjok)� q kuh |3puyp�rsqzt � & /1� D �+J#C � � ��� 5 1�� ��� ����� � � � � � 5(3! � � �"!gEj � � p���?npzq jok)� q kAh |}pzyp �)p?|}p p m � jom � �jR� t jom y j p k t�wxp?t m y�quw#�jom`h t � q m rsqzt

� & /1� D �+J#C � � ��� 5 1�� � � � ��� # � � � � 5(3! ����1$! �m p k y�q�q m ypuy�q m ��p?|}p�q m?�G� p k t{wxp?t m y�qzw��jRmvh t � q mQj�m`j ��~Cpz� jlk�m ��p j � � p ��?np?q q ¡h t\yp rsqzt

� & /1� D �+J#C � � ��� 5 1�� �%� ����� #%� � � � 5(3! ����!&!g j � � p���znp?q w�pzt m m t{� k t ��� p h t{~Cp!�j p jlk)� q kAh |}pzy)p ��m p k y�q m quw jlkAh�j q m p k t{wxp?t m�m`j ��~Cpz� jlk�m j �)�0qz| t m3m q���q m p ��h qu| jRmm�� � j | j w � �j�j �\p#y j ~ j�m�j | �)m pzyp � qzw�q#p#y jom3� |3t`��znp?q#y)p!p?�{qzw j�h |�t\p!yp#��q h �jok)� t\p%w j�h p ¡ �qu��t � p!wL�p?��t�wxp � g� qz|3| j �{p ��?np?q�w jlk qu| q ¡)m�j |3~Cpzyp �)p?|}pOq m p k t�wxp?t m y�quw#�jom`h t � q m�m�j y j ~ j �pO�u|3p k y j ~Cp?|3t{p ��?np?q k p � &9/1� D �+(#C � � ��� �)p?|}pp k t�wxpzt m y j w jom w�pewxp m�m p � % p�~�pz��q m�j��?np jom�h �j w p?�|3q���t�wxpuyp?w jlkAh3j p m w jom w�p m wxp m3m p m y j�¡ qzt m�j qC~ j � � p m �| jom � jR�Kh t�~Cp?w jokuh3j ��wxp mQh �j w � wxp���q h �jok)� t\p�w jlh p ¡ �qz�{t � p )� � ~ j �ljRm w�pzt�qu| �

Page 53: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� d ��K�� ] L_`=UBK�7 c ` xK�L W%c U c L_` c Q4KGM�U

$ I ^ K V 4 [ W UYQ � ]_^ K�LNM�I ] �i] K ��` ] Q4UYLNM�KfU W IYQ4Q c `=U� U J IYM xK�L W%c U ^ KGM�UYO [IYT cVW U K�H J K W [� $=W U[K J Q4I J IRQ W�c IRL=UYT {U 7RK%TVI W�c `=UY`_K ^ [U3" c ^ U `_K(K�L W ] QSM�U ^ K%LNM�I `_UYH $ O_Q�UYH ^0] H W ] T UYQSK�H V 4 [ W*d]fH4UYL_`_I H4K ] H.QSK�H ] T�M�UY`_IRHbH4IYO_Q4KhU UYTVI ^ K%M4Q c U `=U 7RK�T�I W%c `=U�`_K ^ [U�" c ^ U `eKhK%L W ] QSM�U ^ K%LiM4I`=UYH $ OeQ�UYH ^0] H W ] TVUYQ4K%H��=K%TVK J QSI JDxIRH �i] K

# B GI= Z *F$ ? � = �=;>�

� � � ��� � . Z # 4 d��&%�i] K � ^ K�` c UYLNM�K IRH ^ K�H ^ IYHfU�Q�� ]_^ K�LNM4IRH UYLNM�K%Q c IYQ4K�H��=TVK)7YUBU

��� = � � F � �= > � � � ��� � . + # 4 d$�.�&% d � K�Q W K c Q�UBK�7 c ` xK%L W�c U c L_` c Q4KGM�U

� I ] L*� K W IRT UYO IRQ4UY`_IRQSK�H V 4 8�W `_K%H W IYO_Q c Q�U ^ �i] K�� ` ] Q4UYLNM�K I\M4Q4IYM4K K I �NUYTVI J K���IYHUYL c ^ U c H?Q4K%H J c Q�U ^ ]_^ U 7RK w J IRQ J UYHSH4I d�� T�K�H ^ K�` c Q�U ^ U 6 QSK � �]#xK�L W�c UfL=U�M ] Q�UYT�`_K 7 c O_Q4U �WYXU�I`=U W U c "eU0M�IRQ_[U3" cVW U # � � = G � � =)$ %�J U�Q�UhUYT � ] L_H ^ U ^ [� 6 K�Q4IYH�KbK�L W IRLNM�Q4UYQ�U ^ UhQSK�T U �WYXUYI

� � = G � � =)$ [ + � � � � ��� � . + # 4 d$����%] ^ U 7YK w �i] K ]_^ U.K $=W�c xK�L W%c U ^ U c IRQ0[KK%H J K�Q4UY`=U0L_IRH�H c H M�K ^ UYH�Q4K�H J c Q4U�M [IYQ c I K W U�Q4` c I 7�UYH �W ] T UYQ�`_IRH ^ U ^ [� 6 K�Q4IYHs{U/7RK%TVI W�c `=UY`_K ^ [U�" c ^ U � *_[U �i] K IYH J QSK�`=UY`eIRQ4K%H�K�H M XUYI W IRQSQ4K�Le`_I J K�T�IH4K ] UYT c ^ K�LNM�IaK UYH J QSK�H�U�H J U�Q�UBH�UYT 7YU�Q H ] U 7 c `=U� W � K��NU ^ IRH {U ^ K�H ^ U W IRL W T ] H XU�I IROeM c `=UUYLNM�K%Q c IRQ ^ K�LNM�K

��� = � � F � �= > � � � ��� � .,+ # 4 d$� � %0 0H4 0*/ � LG�LI��C9 T�9R8CL�P>P 9 �L��<?EMH91X FST�L�T�? G VL A F5G�Lz c ^ IRH�� U�M�[K U �i] c � � ] K U 7RK%TVI W�c `_UY`_K ^ [U3" c ^ U(`_IRH ^ U ^ [��6 K�QSIRH J IRHSH ] c `_I c H W I ^hJ IRQSM�U ^ K%LNM�IRH`_KBK�H W UYTVU(` c HSM c LNM�IYH�� K%L �i] UYLNM�I U 6 Q4K �-�]#xK%L W�c U(`eK J UYH4HSIRH ^ [U3" c ^ U J I `_KaH4K%Q `_K�H W Q c M�U J IYQ ]_^ U[] L cVW U TVK c `_K J IYM xK%L W�c U J UYQ4U M�I `_IRHIRH ^ U ^ [��6 K%Q4IRHfKBU 7YK�H d Z U�M ] Q�U�T ^ K�LNM�K�� c HSH4I c ^hJ T c�W U �i] KBI

W I ^hJ Q c ^ K�LNM�I `eI J UYH4HSI\LeIRH ^ U ^ [��6 K%Q4IRH {U 7RK%TVI W�c `_UY`_K ^ [U3" c ^ U M�U ^ O [K ^ J IRH4H ] c Q4K�� c ^ K�H0`eKK�H W UYTVUB` c HSM c LNM�IYH d- UY`eIRH H4IYO_Q4K I0M�U ^ U�L � I0`_I J U�H4H4Iy{U 7YK�TVI W�c `=UY`_K ^ [U3" c ^ U #��-� = � � F" �= > % H XU�IaQ4K�TVU�M c 7�U ^ K%L �M�K(K�H W UYHSH4IRH d 4fTVK "_U�L_`_K�QBK W IYT UYO IRQ�U�`_IRQ4K%HaQ4K%T U�M�UYQ�U ^ �i] K � J UYQ4U �� K%H J [K W�c K�Hh`_K ] L*� ] TVUY`_IRH )U 6 Q c�W UYLeIRH�� � �= > � � � ��� � . K ��� = � � F � �=;> � � � ��� � . V 4 �)W d ] ^ U 7RK w �i] K\U 7YK�TVI W�c `=UY`_K `eIUYL c ^ UYT [K c � ] UYTfUYI M�U ^ UYL � I `_I J UYHSH4I 7RK w K%H I L []e^ K%Q4I `_K J UYH4HSIRH J IRQ H4K�� ] L_`_I # � �=;> �-� = � � F �= >�' ��� = � � F � �= > % � J I `_K ^ IRH W IRL W T ] c Q �i] K � � = � � F" �= > � � ��� � � d 5bU�M4K�H�! K � c K���K%L_K�Q��J IYQ I ] M�QSI TVUY`_I*� ^ K%` c Q4U ^ ` c Q4KGM�U ^ K�LNM4K I W I ^ J Q c ^ K�L�M�I0`_I J UYHSH4IRHEK ^ �BK%H J [K W�c K�H `eKPO [�VJ K�`_K%HW IRQSQ4K%L_`_I {U � �= > V 4 � W*d � TVK�H K�L W IRLNM�Q�U�Q�U ^ � ] K � � = � � F( �=;> � � ��� )�. ��� ��� �$� . W I ^ W IRQSQ4K�TVU �WYXU�I� � � + ��8�d" k � � �\pzyq m�mlnpzq wxp?w"�  r j |3q m ����# q m y j y�q m monp?q��|�qC~ t\y�q m y j � p m3� q m j t k�� � �j w q m � j |3t m3m q y �p �Kh t��{q m 2 ju� � � � p�~�pz��q���ojl¡ |}p < �q m p?| h t{q y �p �Kh t��{q m 2 jz� � � � pzw j ��q m � ¡ qC~ t k q m$<.j q m �|�q ¡ q m�� �  y j q m 2 jz� � � j � j r:p kAh�j <��

Page 54: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

IRQSM�UYLNM�I*�NI M�U ^ UYL � I`_I J UYHSH4I {U 7RK%TVI W�c `_UY`_K ^ [U3" c ^ UEM�U ^ O [K ^ J IYH4H ] c Q4K�� c ^ K�H ` c HSM c LNM�IRH

J UYQ4U ^ U ^ [��6 K�QSIRH �RQ4UYL_`_K%HfK J K � ] K�L_IRH d� H4H4K 6 U�M�I [K ]e^ U W IRLeH4K �-�]#xK%L W�c U `=UhK#" c H M xK�L W�c Uh`_KP`_I c HQ4K�� c ^ K�H J U�Q�U U 7YK�TVI W�c `=UY`_K ^ [U3" c ^ U� ]e^ U 7RK w �i] K U 6 QSK � �]#xK�L W�c U `_K J UYHSH4IRH ^ [U3" c ^ U J IRHSH ] c]_^ [] L c�W I W I ^ J IRQ M�U ^ K�LNM�I J UYQ�U0M�I `_IRH IRH ^ U ^ [��6 K�QSIRH d0 0H4 0 0 � ?EG 8D9RT�?@X�9<IK=QL =>9 ?�� L =Q9 ; T�?@X�L�;��<L �L��<?JMS91X FHT�L�T�?UG VL ACFHG�Lz U ^ IRH `_K%` ]6w c Q Q4U J c `_U ^ K%LNM�K ]_^ U 6 [IRQ ^0] T U �i] K L_IRH HSK�Q=[U O_UYHSM�UYLNM�K [] M c T d �eUYO K ^ IRH � ] K I

c ^hJ_] T�H4I [K c � ] UYT {U�7�UYQ c U �WYXU�Ia`_I ^ I ^ K�LNM�IaT c L_K�UYQ���I ] H4K,*4U ������ � � � + # 4 d$� %

��KPU J T cVW UYQ ^ IRH K�HSM�UhK �i] U �WYXU�I U ]_^ J U�H4H4Ih`_K ]_^ U�L c ^ UYT �iM�K ^ IYH

� # � � � � F $CF % � � � Z # 4 d$� 4 %�i] K T�K�7�UaU � � F $CF ��S��� � �� � = � � F Z # 4 d$� [ %IRL_`_K � � F $CF [K U ^ [K%` c U `=U W I ^hJ IYL_K�LNM�K 7RK%QSM cVW U�TE`_U 6 IRQ �W U � ] K ]_^ U J U�M�U 6 U w L_I HSIRTVI� ��S�[K I M�K ^hJ I\`eK W IRLNM�U M�I ^ [K%` c I `eK ]e^ U J U M�U W I ^ I H4IRT�I*� � [K I L []e^ K%Q4I `_K J U�M�UYH�� � [K(U

^ U�H4H�U W IRQ J IYQ�UYT�� � [K U U W K%TVK�Q4U �WYXU�I.`=U/�RQ�U(7 c `=U�`_KfK � = � � FB[KEI M4K ^hJ I `_Kf` ] Q�U �W�XUYI.`eK ]_^ J UYHSH4I d-K $ L c L_`_IBI 6 U�M4IRQ `_K W UYQ �NU�� W I ^ I

� ��S� � = � � F Z # 4 d$�'8&%

M�K ^ IRH �i] K U ^ [K%` c U `=U W I ^hJ IRLeK�LNM�K 7RK%QSM c�W UYT�`=U 6 IRQ �W U U J T cVW UY`=U(L_I HSIRTVI J IYQ W UY`=U J U M�U `eIUYL c ^ UYTE[K � � F $CF � �

� � + # 4 d$����%2 J UYQ xU ^ KGM�Q4I `_U(T�I W I ^ I �WYXUYI `_K ^ U c IRQ c LNM�K�QSK�HSH4K J UYQ4U U(UYT�I ^ K%M�Q c Uh`_IRHbIRH4HSIRH [KaI 6 U�M�IRQ

`_K W UYQ �NU&{U 7RK%TVI W�c `_UY`_K ^ [U3" c ^ U # �! �=;> % � J I c H�� U J UYQSM c Q`_K%TVK�� J I `_K ^ IRH ] H4UYQPU K �i] U �W�XUYI 4 d-�.�J UYQ4UBK%L W IYLiM4Q�UYQfU ^ U c IRQ 6 IRQ �W U �i] KPIhUYL c ^ UYT 6 U w L_I W � XUYI d

� ^ HSK ] M�Q4UYO=UYT � I W I ^ ] L*� ] T UY`eIRH U 6 Q cVW U�L_IRH�� 4 TVK "eUYL_`_K%Q K W IRTVUYO:IYQ�UY`_IYQ4K�H K�L W IRLNM�Q�U�Q�U ^�i] K V 4 �W

�! �=;>�� � ��� ������ � � # J U�M�UYH ` c UYLNM4K c Q4UYH % � � + ��� Z # 4 d$� � %

�! �=;>�� � ��� � ����� � # # J U M�UYH M�Q4UYH4K c Q4UYH % � � + � � Z # 4 d$�.�&%

IRL_`_K � [K I W I K $_W�c K%LNM�KP`_K W IRQSQ4K�TVU �WYXU�I dZ XUYI � [U ]_^ U K � ] U �WYXUYI UYT�I ^ [K%M�Q cVW U J U�Q�U��! �=;> J UYQ4U UYL c ^ U c H J K � ] K�L_IRH(L=U T c M4K�Q4U�M ] Q4U d

��IRLNM ] `eI*� J I `_K ^ IRH ] H4UYQ0UYT�� ] L_H ^ [KGM�I `_IRH c L_` c Q4KGM�IRH J UYQ4U K%L W IRLNM4Q�UYQ0K%H4H4U Q4K�TVU �WYXU�I d � ^ ]_^UYQSM c �RI `_K � c K���K%L_K�Q V�� 4 W � � [U ]_^ �RQ_[U $=W I `_K�� 7YK�QSH ] H 7RK%TVI W�c `=UY`_K J U�Q�U 7�[UYQ c IRH ^ U ^ [��6 K�QSIRH

4 �

Page 55: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;1� � �"����� p h qu|.y j � p?|3�up �p�~ j ��q � t{ypuy j w��pC��t{w�p 2�� ��� < �)p?|}p^p?�{� �)k)m p k t�wxp?t m � j � �jok q mo� pzyq m | j�h t�|}pzy�q my�q m p?| h t{�zq m y j�) t j��Qjlk)j | /21=��5Uj�- p h�jom � j ) t j=� jokj | / ����5 �

4fL c ^ UYT � UYHSH�U # d � % �! �= >$ U�M4I �ed � 4 � � 4 � � H � ] c TVI �ed$� [ � [ � � 8��� U W � IRQ4QSI J K �i] K%L_I �Rd � � � � �c[� U W � IRQ4QSI �YQ�UYL_`eK � [ � � � 8 ��I `_IRQSL=U � � ��� � �{[ �5bUYT c L � U���`��FUYL*�RIYT U � �{[�� � � 4� 4� ^ U � � � � c[��� U�H ] UYQ 4 � � � c[��EI ^ K ^ � � � � �34 �417RK%HSM�Q ]6w ��� � � 4 � [

0 0 1 10 100Massa (kg)

0

1

Fat

or d

e ca

rga

Mamiferos

0 1 10 100Massa (kg)

0

1F

ator

de

carg

a

Bipedes

��������� � ��������� p h qu|Qy j�� pz|��Ap ��� ������ wxp m3m p � qz|3�0qz|}p?� 2 + � <K� - |0�p ��� q�q ¡�h t\y�q p��)p?| h t{| y�q m ypzyq m yp h p ¡0j �\p ��� ��

J K �i] K�L_IYH d � ^ I ] M�QSI UYQSM c �RI� W ] *SIRHaU ] M4IRQ4K%H.H XUYI 5PU M�K�H)!\K � c K���K%L_K�Q V 4 � W � M4K ^ IRH.I ^ K%H ^ I�RQ=[U $=W I J U�Q�U 7�[UYQ c IRH O�[�VJ K�`_K%H d 4 J UYQSM c Q�`eK�H4H4UYH ` ] U�H 6 IRLNM�K�H��_Q4KGM c Q�U ^ IRH�IRH `=UY`eIRH U J QSK�HSK�LNM�UY`eIRHL=UaM�UYO K�TVU�4 d � d

4 J U�QSM c Q `_K�HSH4K%Hf`=U�`_IRH IROeM c 7RK ^ IYHEIYH �RQ=[U $_W IRH J T�IYM�UY`eIRH L=U $ � ] Q4U/4 d �0KPUYH K �i] U �W�XIRK�H 9�! �=;> � + � � � ��� � # � � + ��[ ^ U ^ [� 6 K�QSIRH J K � ] K�L_IRH Z # 4 d � �&%�! �=;> � + 4 [ � � ��� � . � � + � 4 O [��J K�`_K%H Z # 4 d � ��%

IRLe`_K � [KbI W I�K $=W�c K�LNM�Kb`_K W IYQ4Q4K%T U �W�XUYI dZEIYM�K �i] K�� U J K�H�U�Qa`_I W I�K $=W�c K�LNM�K UYT�I ^ [K%M�Q cVW I H4K%Q ` c 6 K�QSK�LNM�K(L=UYHBK � ] U �WYXIRK%H.4 d � � K 4 d � � �

I K " J I K�LNM�K [K J Q�U M cVW U ^ K�LNM�KhI ^ K�H ^ I d ] ^ U 7RK w �i] K IRH `=UY`_IYH J UYQ4U ^ U ^ [��6 K�QSIRH K O [�VJ K�`_K%HJ Q4I 7 xK ^ `_K 6 IRLNM�K�H ` c 6 K%Q4K%LiM4K�H�� J I `_K ^ IRHbM�K%Q ]_^ J I ] W I `_K W IRL $ U�L �W U LeI 7�UYTVIRQb`_I K#" J I�K%LiM4KK�L W IRLNM�Q4UY`_I # � + ���&%Gd

4 �

Page 56: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;1� ���"���0< ���0q jokAh�jom p?�{qzw#�j�h |�t � q m �)p?|}p y�t{~ j | m q m �)pz|��pzw j�h |3q m �{t{�upzyq m �p �{q � qzw�qU��?np?q!yq m p k t�wxpzt mo� � mj � �0q jlkAh�jRm �)pz|3p�p m p�~ jom rsqu|3pzw | j�h t�|}pzyq m q �!� p?� ��� �{puy�q m y�q�p?| h t{�zq / ����5 � � m�j ���0q jlkAh�jRm �)pz|3p"q m��k � � �\pzy�q mrsqu|3pzw | j�h t�|}pzy�q m q �!� p?� ��� �{puy�q m y�q�pz| h t��uq / ��3�5 � @ � &�� � � �j q � quw��|�t{w jlkAh q�yp�� j | k p � p?� ��� �\pzy�q�p��)pz| h t�| y�q� qzw��|3t�w jlkAh q�yq m q m3m q m yp � j | k p �

U�Q xU ^ K%M4Q4I 417RK%H ]EL*� ] TVUY`_IRH��� = � � F � �= > � � � ��� � . � � ��� � .�-� = � � F � �=;> � � ��� )�. � � ��� � �� �= > � � ��� � � � � ��� � .�! �=;> � � � ��� � # � ��� ���-� B � � = � � ��� )�. � ��� ���

[UEU c L_`=U ^ U c H ]_^ U 6 IYQ ^ U `_K�K�HSM c ^ UYQ�I K#" J I�K%LiM4K�U�TVI ^ [K%M4Q cVW I J UYQ4U �! �= > J UYQ�U IRH UYL c ^ U c H

J K �i] K�L_IYH d � c K���K%L_K�Q ^ K%` c ] U Q�U w XUYI K%LNM�Q4K IRHPO_Q�U �W IRHP`_K U�T U(7�UYL W U(`=U 6 IRQ �W U ^0] H W ] T UYQPK `_U

6 IRQ �W U `_I HSIRTVI� U �i] UYT `eK�L_I ^ c LeI ] � � 4 # K��:K W M c 7YK ^ K W � U�L cVW UYT UY`7�UYLNM�U �RK %!V 4 �)W d�� T�KBQ4K�TVU�M�U

�i] K � � 4 � !�� � � ��� � � ��IRL_`_K � [KfI0O_Q4U �W I0`eKUYTVU 7�UYL W U.`=U 6 IRQ �W U ^0] H W ] TVUYQ�K � I0O_Q4U �W I0`eKUYT U(7�UYL W Ua`=U 6 IRQ �W UB`eI HSIRTVI d ] ^ U 7YK w/�i] K� � F�$'F ' � � *� � � � $'F ' � # 4 d ��� %

K �i] K � *� � � � $'F � � ��� . � # W I ^ I%7 c ^ IRH LeI W U J [� M ] TVIhUYLNM4K�Q c IRQ % � W IRL W T ] [�V^ IRH �i] K � � F $CF � � � � � � d� UYH�� J K%T U K �i] U �WYXUYI 4 d$��� � H4UYO K ^ IRH �i] K � � F $'F�� � ! � d IRQSM�UYLNM�I*� K%L W IYLiM4Q�U ^ IRH �i] K �! �=;>��� � ��� � � d ��I ^ I IRH UYL c ^ U c H ^ K�` c `_IRH�� K " W K%M ] UYL_`eI ��HSK I W U(7�UYTVI� J K%QSM4K�L W%c U ^ UYI �YQ ]_J I `_IYH

^ U ^ [� 6 K�Q4IYH J K �i] K%L_IRH # � ���� � �!% �eK%HSM�K QSK�H ] T�M�UY`_I 6 IRQ M�K�T�K W KI 7�UYTVIYQ � ��d���� J UYQ�U0K " J I K�LNM�K `eK�! �= > J UYQ�UBIRH UYL c ^ U c H J K �i] K%L_IRHEK�L W IRLNM�Q4UY`_IhL=UYH K �i] U �W�XIRK�H 4 d � � K 4 d � �Rd2 M4K ^hJ Ih`_K W IRLNM�U�M4I `_K ]_^ UYL c ^ UYT W I ^ I HSIRTVI%7YU�Q c U W I ^ U 7RK%TVI W�c `_UY`_KPK.U ^ UYHSH�U `eI

UYL c ^ UYT d EI !iMbK W IRT U�O:IRQ4UY`_IRQSK�HfK�L W IRLNM�Q�U�Q�U ^ U H4K�� ] c LNM4KaK �i] U �W�XUYI(Q4K�TVU W�c IRL=UYLe`_I I M4K ^hJ I `eK

W IRLNM�U�M�I # ��S� % �eI W I ^ J Q c ^ K�LNM4Ia`=U J K%Q4L=U #�� % KbU 7YK�T�I W%c `=UY`eK # � %� 4 � �:9 �S� � + � � � ��� . �

� ��� . ��� � � � + �&� + # 4 d � %� H4H4U K �i] U �W�XUYI 6 I c K�L W IRLNM�Q4UY`=U J UYQ4U ]_^ �RQ ]_J I `_K � � UYL c ^ U c H�� W I ^ J IRH M�I J IRQ � U 7YK�H�� 4

^ U ^ [� 6 K�Q4IYH J K �i] K�LeIRH�� ]_^ � I ^ K ^ � ]_^ JDxIYL_K c K ]_^ W U(7�UYTVI d�& I �RI*�_`_IYH � �0UYL c ^ U c H�� �BJ I `_K ^H4K%Q W IRL_H c `_K%Q�UY`_IYH UYL c ^ U c H J K � ] K�L_IRH d -K%H4H�U 6 IRQ ^ U��H4K%Q c UB`_KbH4KbK%H J K�Q�U�Q �i] KbK�HSH�UhK �i] U �W�XUYI H_[I

6 IRH4HSK 7�[UYT c `=U J UYQ4U K�HSH4K �RQ ]_J I d � UYH�� H ] Q J Q4K%K�L_`_K%LNM�K ^ K�LNM4K ��K�T U 6 U whJ Q4K)7 c H XIRK%H W IYQ4Q4KGM�UYH J UYQ4UM�I `_IRH IRH ^ U ^ [��6 K�QSIRH�� W I ^ I J I�`_KbHSK�Q M�K%HSM�U�`_I ] H�UYL_`eI IRH `=U�`_IRH `=U0M�UYO K�TVU 4 d d

� M c T c w UYL_`_I U K �i] U �WYXUYI 4 d � K IRH0`=U�`_IRH0`=U M�UYO K�TVU 4 d � IROeM4K ^ IRH �! �= > � ��� ��� � � J UYQ4UUYHfU 7YK�H�� ]_^ K#" J I�K%LNM�K J Q=[I " c ^ IhU�� � + ���ed � H4H4U [K ^ U c H ]_^ UBK�7 c ` xK�L W%c U � ] K 6 IRQ M�UYT�K W KbI%7YU�TVIRQ� � + ��� K�L W IRLNM�Q4UY`_IL_UYH K �i] U �WYXIYK�H 4 d � � K*4 d � �Rd I `_K ^ IRH�� J IYQSM�U�LiM4I*��M�K�Q ]_^ J I ] W I `_K W IYL $ UYL �W UL_K�HSH4K 7�UYTVIRQ�� ]_^ U 7RK w �i] KPK�T�K 6 I c IROeM c `_I J IRQ M�Q xK�H ^ [K%M�I `_IRH ` c 6 K�QSK�LNM�K%H d

��I ^hJ UYQ4UYL_`_I IRH.K " J I K�LNM�K%HBUYTVI ^ [KGM�Q c�W IRH J U�Q�U I 6 U M�IRQP`_K W UYQ��NUm{U37RK%TVI W�c `=UY`_K ^ [U3" c ^ U

J UYQ4U ^ U ^ [��6 K%Q4IRH J K �i] K%L_IRH # � �ed����&% K �YQ�UYL_`eK�H # �ed-��� � �ed$� 4 % � K�L W IRLNM�Q4U ^ IYH0Q4K�� c ^ K�H `_K K�H W UYTVU

4 �

Page 57: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

` c H M c LiM4IRH d � L �i] UYLNM�I*� J U�Q�U IRH ^ U ^ [� 6 K�Q4IYH J K �i] K%L_IRH����! �=;>(` c ^ c L ] c W I ^ U ^ UYHSH�U� J UYQ�U IYH

^ U ^ [� 6 K�Q4IYH �RQ�U�L_`_K�H�� �! �= > W QSK�H W K W I ^ U ^ UYHSH�U � d�� H4HSI.H c �RL c $=W U �i] K��_UYHSH c ^ W I ^ IPU.UYT�I ^ KGM�Q c U`_IRH IRH4HSIRH K U UYTVI ^ K%M4Q c Ub`_U 7RK%TVI W�c `_UY`_K ^ [U3" c ^ U�iU0U�TVI ^ K%M4Q c U `_I 6 U�M�IRQ�`_K W UYQ��RU {U 7YK�TVI W�c `=UY`_K^ [U�" c ^ U.U J Q4K%H4K%LiM�U W I ^ J IRQ M�U ^ K�LNM�IYH ` c H M c LNM4IRH J UYQ4U ^ U ^ [��6 K%Q4IRH J K � ] K�L_IRHEK �RQ�U�L_`_K�H d

� ^ 6 U�M�I �i] K `_K�7YK H4K%QBQ4K�HSH�UYT M�UY`eI U �i] c [K �i] K U � � F $CF {U � �= > 7�UYQ c U W I ^ U ^ UYH4H4U\`eK

6 IRQ ^ U` c 6 K�Q4K%LNM�K J UYQ4U UYL c ^ U c H �RQ�UYLe`_K�H�K J K � ] K�L_IRH d��] UYH4K HSK ^hJ Q4K���L=U T c M�K%Q�U�M ] Q�U �RIRH�U ] M4IRQ4K%HUYH4H ]_^ K ^ c L W IRQ4QSK%M�U ^ K%LiM4K �i] K � � F�$'F�� � J UYQ4U M�I `_IRHEIRH ^ U ^ [��6 K%Q4IRHEUhM4I�`_UYH U�H 7RK%TVI W�c `=UY`_K%H �� � 4 � � 4 � � �:K�L �i] U�LiM4I*� L=U%7RK�QS`=UY`_K�� � � F $'F � � � � � #PJ UYQ�U U�L c ^ U c H J K �i] K%L_IRH K � � F $CF�� � ��� . #J UYQ4U ^ U ^ [��6 K%Q4IRH �YQ�UYL_`eK�H {U � �=;> d

2 ] M4Q�U �_c J [IYM�K%H4K c L W IRQ4QSK%M�U 6 QSK � �] K�LNM4K ^ K�LNM�K K�L W IRLNM�Q4UY`=U L_U T c M4K�Q�U M ] Q4U [K U `_K �i] K I

W I ^hJ Q c ^ K�LNM�I `_I J U�H4H4I [K J Q4I J IRQ W�c IRL=UYT�UYI W I ^hJ Q c ^ K�LNM�I `=U J K�QSL=U d 4 M�U�O:K%T U)4 d ^ IRH M�Q4U

�i] K � U J K%H�UYQP`_KhH4K�Q K�HSH�U ]_^ U(O:INU(H ]eJ IRH c �W�XUYI J U�Q�U U(7YK�H W IRQ4QSK�L_`eI�{U � �= >5� K�T U(L XUYI [K%7�[UYT c `=UJ UYQ4UBIYH ] L*� ] TVUY`_IRH �NU�TVI J U�L_`_IE{U � �=;> d

+ ��� ��(�� - u ( ( -wi n � n k n �Mj iUj � j +i ln j� ^ U 7RK w � ] KfU U�TVI ^ K%M4Q c U `_IRH IYH4H4IYH K�HSM=[U W IRL_K W M�UY`=U {UTVI W I ^ I �W�XUYI*� ]_^ ^ I�`eK�TVI �RK�Q4UYT W U J U w `eK`_K�H W QSK�7RK%Q UbTVI W I ^ I �W�XUYI`_IRH�UYL c ^ U c H HSK�Q c U `_K �RQ�U�L_`_K 7�UYT c UL_IbK�HSM ] `_I `=U U�TVI ^ K%M4Q c UE`_IRH�IRHSH4IRH d K%L_H�UYLe`_I UYHSH c ^ ��K�H M c 7YK ^ IRH K�HSM ] `=UYLe`_IU TVI W I ^ I �W�XUYI `_IRH UYL c ^ U c H��8K ^ O ] H W U� J Q c L W�c J UYT ^ K�LNM4K �`_K ]_^ U 6 IRQ ^ U `eK H4K J QSK�7RK%Q U 7RK�T�I W%c `=U�`_K ^ [U3" c ^ U `_K ]_^ UYL c ^ UYTEK I 6 U�M4IRQ `_K W UYQ��RU {U7RK%TVI W�c `_UY`_K ^ [U3" c ^ U d 4 J K�H4UYQB`_K(L XUYI M�K%Q ^ IRHhUYT W UYL �W UY`_I L_IRHSH4I\IRO *SK%M c 7YI*� QSK�HSIRT�7YK ^ IRH 6 U w K%QU �i] c UYT�� ]_^ UYH ` c H W ] HSH XIRK%H J K�Q M c LeK�LNM�K%H U�I J QSIRO_T�K ^ U W I ^ U K�H J K%Q�UYL �W U `eK �i] KEK�H M�K M�K#" M4I J IRH4H4UIRQ c K�LNM�U�Q K�HSM ] `_IRH 6 ] M ] Q4IRH d

0 0 054 1 ?EMS91X FHT�L�T�? G VL ACFHG�L2 � ] KP`eK%M�K%Q ^ c L=UBU�7RK%TVI W�c `=UY`_K ^ [U3" c ^ U0`_K ]_^ UYL c ^ UYT �

2 �i] K c ^ J K�`eK ]_^ UYL c ^ UYT `_K W IRQ4QSK�Q ^ U c H Q_[U J c `_I �i] UYLe`_I K�T�K K%HSM=[U W IRQSQ4K�Le`_I�{U � �= > �� HSM�U [K ]_^ U J K%Q�� ] LNM�U 6 ] L_`=U ^ K�LNM�U�T W ] *4U(Q4K%H J IRHSM�U L XUYI J I `_KaHSK�QbK�L W IRLNM�Q4UY`=U(L=U T c M4K�Q4U�M ] Q4U d- ] UYH �_c J [IYM�K%H4K%H 6 IYQ�U ^ M�K�H M�UY`_UYH KP`eK�H W UYQSM�UY`=UYH d 4fH �_c J [I�M�K�HSK�HE`_K�H W UYQ M�UY`_UYH H XUYI 9

�Rd 4 � �= >\[K T c ^ c M�UY`=U J K%T U W U J U W�c `=UY`_K ^ [U3" c ^ U.`eIRH ^ [] H W ] T�IRH `_K K "�K�Q W K�Q M�Q4UYO=UYT � I d�� HSH�U�_c J [IYM�K%H4K 6 I c 6 K c M�U� J IRQ K#"�K ^hJ T�I*� J IRQ 4 T�K#"eUYL_`_K%Q ��� ���

� d 4 � �= >\[KbT c ^ c M�UY`_U J K�T U J IYM xK�L W%c U ^ KGM�UYO [IRT c�W U ^ [U3" c ^ U d

4 J Q c ^ K c Q�U �_c J [IYM�K%H4K 6 I c M4K�H M�UY`=U J IRQ g U�Q4TVK�! � � � d�� TVK ] M c T c w I ] ` ] UYH�K%H J [K W�c K%H�`_K TVU �NUYQ M�IRHK ^ K�` c ] H ] U�H � �=;>hL_I J T UYL_I K0L_I J TVUYL_I c L W T c L=UY`eI d � UYHSI(U �_c J [I�M�K�HSK � K�H M c 7RK�HSH4K W IYQ4Q4KGM�U� U� �= >(L_I J TVUYL_I c L W T c L_UY`_I `_K�7YK�Q c U H4K%Q ^0] c M�I ^ K%L_IRQP`_I �i] K L_U Q4KGM�U� J I c H �RQ4UYL_`_K J UYQ M�K `eI

%���� ������������������������������������� �����!� "#��$����"&%�'��"()�$#)���&3 ��+*,�-����./��"#01���)����"#�������2� "#043 � .��65�74����"$��"8'9 ���������"$���:<;��3�� ���-��=���$��5�7>��3 ��<.��0>������,���?./���������,.��"@��<"A���4�������B���������-��4�C.�����!��>D

4�

Page 58: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

M�Q4UYO=UYT � I0K�H M�UYQ c U0HSK�L_`_I ] H4UY`_I J UYQ4U0K�TVK)7�UYQ I W K%LiM4Q4IB`_K ^ UYH4H4U d 2H K#" J K�Q c ^ K%LNM�IRH ^ IRHSM4Q�UYQ4U ^�i] K � �= >P`_K 6 U�M4I\[K ^ K�L_IYQ�L_I J T UYL_I c L W T c L=UY`_I*�iK%LiM4Q4KGM�UYLNM�I�_L XUYI [KfM XUYI ^ K%L_IRQ �i] U�LiM4I J Q4K)7 xKbU�_c J [IYM�K%H4K � d

4 H4K�� ] L_`=U �ec J [IYM4K�HSK J I�`_KPH4K%QfM4K�HSM�UY`=U `_U H4K�� ] c LNM4K 6 IRQ ^ U d 4 K �i] U �WYXUYI K%L W IRLNM4Q�UY`=U J IRQ� U"! TVIYQ K W IRTVUYO IRQ�UY`eIRQ4K%H���U �i] UYT Q4K J Q4K%H4K%LiM�U ^ IRH J K�TVUEK � ] U �WYXUYI�4 d � J U�Q�U U J I�M xK�L W�c U ^ K%M�U�O [IRT c�W U`_KPUYL c ^ U c H W IRQ4QSK�L_`_I [K 4� �

# B G�� Z *F%$�� � � $'F � F �F*'8 D�!F�

� + � � � ��� ) ��� ' � � + ��� � � ��� ) � ) + # 4 d � 4 %� ] O_H M c M ] c L_`_IhUaK �i] U �W�XUYI 4 d 8 L=UaK �i] U �W�XUYI UYLNM�K�Q c IRQ KbQSK�UYQSQ�UYL+*4U�L_`_IBIRH M�K%Q ^ IRH��eM4K ^ IRH

� ��� + 8 4 � ��� � � � � � + � 8 � ��� � � )�+ # 4 d � ��%��K�� ] L_`eI K%H4H�U(K �i] U �WYXUYI*� � ��� W Q4K%H W K�Q c U HSK ^hJ Q4K W I ^ U ^ U�H4H�U d%& I��RI*��K%T U [K c L W U J U w `eKK#" J T cVW U�Q IRH `=UY`_IRH IROeH4K�Q,7�UY`_IRH # $ � ] Q�U 4 d$��% KbUYHSH c ^ U �ec J [IYM4K�HSK �aK�H M [UBQ4K 6 ] M�UY`_U d

2H � I ^ K�LeH ^ U c H Q=[U J c `_IRH

z c ^ IRHL=U(H4K �WYXUYI 4 d-�Yd-� �i] K IYH ^ U ^ [��6 K%Q4IRH ^ U c H 7RK%TVI w K�HPL XUYI H XUYI IRH ^ U c IRQSK�H d �eU�O:K ^ IRH

�i] K U 6 QSK � �]0xK�L W%c U ^ [U3" c ^ U `_K J UYH4HSIRH0` c ^ c L ] c W I ^ U ^ UYH4H4U� K%L �i] UYLNM�I I W I ^hJ Q c ^ K%LNM�I `eI

J UYHSH4I W Q4K%H W K W I ^ U ^ U�H4H�U # HSK �WYXU�I 4 d$��%Gd � H4H4K%H0`_I c H J UYQ xU ^ KGM�Q4IYHPK%H W UYT U ^ `eKhM�UYT 6 IRQ ^ U � ] KK#" c H M�K ]_^ U ^ UYHSH�U �i] K ^ U3" c ^ c w U0U�7RK%TVI W�c `=UY`_K ^ [U3" c ^ U.L_IRH ^ U ^ [��6 K�QSIRH d

[� c LNM�K%Q4K%H4H�U�LiM4KaL_IYM�UYQ �i] KaK#" c HSM�K ]_^ U ^ UYHSH�U �i] K ^ U3" c ^ c w U U 7YK�T�I W%c `=UY`eK ^ [U�" c ^ U U�M�[K

^ K%H ^ I J UYQ�UhUYL c ^ U c H `_K ]_^ U ^ K�H ^ UBK�H J [K W�c K d 2H � I ^ K%L_H ^ U c H 7RK%TVI w K�H�� J IYQEK "�K ^hJ TVI*� L XU�IH XUYI LeK ^ IRH ^ U c H UYT�M4IRH.LeK ^ IRH ^ U c HPO=U c "eIYH d 2 U J#xK%L_` cVW K - U J QSK�HSK�LNM�U ]_^ U T c HSM�U W I ^ U�HUYT�M ] Q�U�H�K ^ U�H4H�U�H `_K � � W IRQSQ4K�`eIRQ4K%H�`_IRH �.���P^ KGM�QSIRH�Q�UYHSIRH��eU J QSI 7YU ^ U c H�Q=[U J c `=Ub`_I0U M�TVKGM c H ^ I d� ^ ^ [K%` c U��IRH U�M�T�K%M�UYHaM xK ^ ��� ��� K ^ K�`_K ^ � + ��� � d 2 U J#xK%L_` cVW K - M�U ^ O�[K ^ 6 IRQSL_K W K U�HUYT�M ] Q�U�H�K ^ UYHSH�UYH `eK � ^ UYQ�U�M4IRL c HSM�U�H d�� ^ ^ [K%` c U ��IRH ^ UYQ4U�M�IYL c H M�UYH�H XUYI ^ K%L_IRQ4K%H K ^ U c H�TVK)7RK%H�i] K0IRH W IRQSQ4K�`eIRQ4K%H `_IRH �.���h^ KGM�Q4IYH Q�U�H4IRH d 4 M4TVK%M�UYHE`_K0I ] M4Q4IRHEK�H J IYQSM�K%H�� W I ^ I I������������ � ���_K I� ����� ����� � ��� �:M xK ^ ]_^ U K�HSM�U�M ] Q�U O:K ^ ^ U c IRQ �i] KhU `_IRH W IYQ4Q4K%`_IRQSK�Hb`_IRH �.��� � d 4 HSH c ^ ��K " c HSM4K]_^ U ^ U�H4H�U [IYM c ^ U J UYQ4U H4K W IRQ4QSK�Q�� M�UYLNM�I J UYQ�U ]_^ U `_K%M4K�Q ^ c L=UY`=U K%H J [K W�c K � �i] UYLNM�I J UYQ�U IYH

^ U ^ [� 6 K�Q4IYH�K ^ �YK�Q�U�T d��IRQSQ4K%L_`_I ^ IRQSQ4IBU W%c ^ U

� d � d g UYQSTVK ! �M�Q4UYO=UYT � UYL_`_I W I ^ � K%H J [K W�c K�H `_K T U �NU�QSM�IYH�� 6 K w ]_^ U IRO_HSK�Q 7�U �W�XUYI ^0] c M�I

c LNM�K%Q4K%H4H�U�LiM4K � � � d 4fI H ] O c Q ]_^ J T UYLeI c L W T c L_UY`_I W IRQ4QSK�L_`eI {U � ��� �NIRH TVU �NUYQ M�IRH ] H�U ^ U ^ K%H ^ U

6 Q4K � �]#xK%L W�c U0`_K J UYHSH4IRH ^ [U3" c ^ U #���� � � � �� ��� % IRO_H4K%Q 7�UY`=UBL_I J TVUYL_I d 2 ] HSK,*4U� U J K�H4UYQ `_KbU � ����i] K ]_^ T U��NUYQSM4I W IYL_H4K�� ] K UYT W UYL �W U�Q0K ^ ]e^ U H ] O c `_U HSK�Q ^ K�L_IRQa`eI �i] K U � ��� U�T W U�L �W UY`_UL_I J T UYLeI*� U ` c ^ c L ] c �WYXUYI K ^ � ���� [K `_K�7 c `_U\HSI ^ K%LNM�K U ]_^ U ` c ^ c L ] c �WYXUYI L_I W I ^ J Q c ^ K�LNM�I`_I J UYHSH4I*� $=W UYL_`_I U ��� � � ���� ��� W IYL_HSM�UYLNM�K d � HSH4K W I ^ J IRQSM�U ^ K�LNM�I M�U ^ O [K ^ [KaIROeH4K�Q,7�UY`_I(K ^W U(7�UYTVIYH 4 � � d�"! ������"$��� �����<�������3F�4�-�*�;���� ��)����!��A.�� ������ / �81�5 D

4�4

Page 59: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;�� ������� # ����� ��.�=��� �4� ;��3���.�� �4������" '������"$��� � �� *���" ��� ����� .��" � "$���� ./����0+�����3� � *��" �����/D � ������ �

- ���3:���>� / ��5 D�� ������- 04��� "A������� �-5�71��.�=���� �������" .��3 .�743:��4�� 0+�� � '�� �#� ��7������ ��7>�� �- �-=��� ����3 ������>� �4�

��)����!��A.�� ������1D � '� �#.��������3 ��.�=���1D

4 L c ^ U c H � UYHSH�UYH #�� � % K �i] U �W�XUYI U�TVI ^ [K%M4Q cVW U Q� U ^ [��6 K�QSIRH W I ^ ^ UYH4H4U � ��� ��� �ed�� �'8 � 4 � � ��� � + 4 � ��� � � �ed 8 8� U ^ [��6 K�QSIRH W I ^ ^ UYH4H4U � ��� ��� � �ed�� �'8 � 4 � � ��� � � + � � ��� ��� �ed ���� U ^ [��6 K�QSIRH W I ^ ^ UYH4H4U! ��� ��� ��� � 8������ � ���� ��� � + � � � ��� � � �ed 4 �4 QSM c I ` [U W M c T�IRH � � � ����� � ���� ��� 4 + 4 � � ��� � ) �ed 4 84 QSM c I ` [U W M c T�IRH�HSK ^ I �_c J I J [IYM�U ^ I � � � �.����� � ���� ��� + � ��� ��� � # �ed � �/��� �����>����" �� �� 01�������� ���:�.�����0>�������-�D � ./�����4'����� �� 0>����=# 7> ���$#+.���� � ���/��������4�,�4� ���� 01��������

�=���$�4�������0+�� - ���3:���1� ��" )��7 ��)����!�� / �&5 D

6��87 9�;�� �%���&� # '����� �� ��5�7>��.=��- 01����� � ��3 �"#������� � �4� ;��3���./�:�4�����#" '������"$�'�� � �� � � �7>�� �����0+��. ����; �� ��������-

�� ( )� ��" "E��*�/D � '� �#.��������3 ��.�=���&� � '� �#� '7>"A�����$���?0+��������D

4 L c ^ U c H � UYH4H4UYH #�� � % L K �i] U �WYXU�I UYT�I ^ [K%M�Q cVW U Q g IRLNM�K� L*� ] T UY`_IYH � � U �.����� �.� � ��� ��� � � ��� � . ��d ��� 4 � �$ I K�`_IYQ4K�H � �ed ��� ��8 U �ed$�.� � � ��� � ��� � + � ��� � � ��d � � � � �$ I K�`_IYQ4K�H Z �ed ��� ��� U �ed ���&� 8 8 � ��� ��� � ��� � � ��d � � � �� [�VJ K�`_K%H �ed � 4 � U ��� � � ����� � ��� � � � 4 � � �)��0+������"#�������������������,��" 3 �%1�������1'���� �D �)��0+������"#�������������������,��" .���"#0+�

- UY`eIRH K#" J K�Q c ^ K%LNM�U c H

z U ^ IRH U��RIRQ�U U J Q4K%H4K�LNM�UYQ�UYT � ]e^ UYH K �i] U �W�XIRK�H�UYT�I ^ [KGM�Q cVW U�H Q4K%T U W%c IRL_UYL_`_I � ���fK � d � M c T c �w UYLe`_I IYHE`_UY`_IRH `_K 5bUYQ4TVUYL_`(` c H W ] M c `_IYH L=UhHSK �W�XUYI.4 d-�Rd$� � J I�`eK ^ IRH U�* ] H M�UYQ TVK c H `eK J IYM xK%L W�c UBU�RQ ]eJ IRH K%H J K W [� $=W IRH�`_K ^ U ^ [� 6 K�Q4IYH d 4 M�UYO K�TVU�4 d 4bU J QSK�H4K%LNM�UPUYT � ]e^ UYH K �i] U �W�XIRK�H �i] K IROeM c 7YK ^ IRH dZfIYM4K �i] K I K#" J I�K%LNM�K UYT�I ^ [KGM�Q cVW I J UYQ4U U 7RK%TVI W�c `=UY`_K ^ [U3" c ^ Uf`eK J K�L_`_K `eI �RQ ]_J I W IRL_H c `_K�Q4UY`_I dZfIYM4K M�U ^ O [K ^ �i] KPIRH W I K $_W�c K%LNM�K�HE`_K W IYQ4Q4K%T U �W�XUYIaH XU�I*�=`_K 6 IRQ ^ U��RK%Q�UYT�� ^0] c M�IaO=U c "�IRH d

I�`_K ^ IYH W I ^hJ UYQ4UYQ UYH K � ] U �WYXIRK%H�UYH4H c ^ IYOeM c `=UYH W I ^ I ] M4Q�UYH QSK�TVU �WYXIRK%H�UYTVI ^ [KGM�Q c�W UYH J UYQ4UbU7RK%TVI W�c `_UY`_K ^ [U3" c ^ U.` c H J IYL�[� 7YK c H L_UhT c M�K%Q�U�M ] Q�U d 4 M�UYO K�TVU�4 d � QSK�H ]e^ KbIRH `=U�`_IRH K�L W IRLNM�Q4UY`_IRH d

I�`_K ^ IYH W I ^hJ UYQ4UYQ IbK#" J I�K%LiM4K U�TVI ^ [K%M4Q cVW I K%L W IRLNM4Q�UY`_I J IRQ 4 T�K#"eUYL_`_K%Q�K W IRTVUYO:IYQ�UY`_IYQ4K�H 4 � � J UYQ4U IRH ] L*� ] T UY`_IYH W I ^ I K%L W IYLiM4Q�UY`eI J IRQ 5bUYQ4TVUYL_` J UYQ4U IRH�UYQSM c I ` [U W M c T�IRH � d K%Q W K�O K ^ IRH

�i] K IYHEQSK�H ] T�M�UY`_IRH H XU�I c L_` c H M c L*� �] [� 7YK c H # � � + � � K � � + ��� �=QSK�H J K W M c 7YU ^ K%LiM4K % � HSK W IRL_H c `_K%Q�UYQ ^ IRHIRHEUYQSM c I ` [U W M c T�IRH�H4K ^ I �_c J I J [IYM�U ^ I d

2HEO�[�VJ K�`_K%H `_IhM�Q4UYO=UYT � I `eK 5bU�M�K%H�!(K � c K� K�LeK�Q H XUYI W I ^ J IRH M�IRH J IYQ � K�H J [K W%c K�H `_K0U(7RK%HK(I � I ^ K ^ 4 � � d [� c LNM4K�Q4K%H4H4UYLNM�K � ] K I K#" J I�K%LNM�K J UYQ�U IRHaO [�VJ K�`_K%H # �ed � ��% H4K *4U\H c ^ c TVUYQ.U�I

� �4!743:��4�� �=�� "$��"8'9 �������� ./7�# �� �4������ �=��� 04��� ; �:���� ���<.���./�� �����1./3 74��" �� 0+����� ��� � '�. ����3 ������D !1D .�� ; �3��1*����%4���+� *4��,������� � � '�. ����3 ��,B�D !>D .��"A��3����*�%+� ; ���>��-� � ��<04����%1���.�'9 ������.B�D !>D ��3 �/�B��������/D

4 �

Page 60: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;�� �%� ��� � 3���"#�/�����:�A�>�<;��3���.�� �4��������-5�7>��; ��3 �������� / � 1�5 D � '�?�#./�������3:��.�=��>D

z K%TVI W�c `_UY`_KK � ] c 7�UYTVK%LNM�K 7RK%TVI W�c `=UY`_K # � ! &�% Q �7 ^ [� L c ^ U J UYQ4U0M�Q4I�M�UYQ � � + ��� � ��� � � # �ed � 47 J Q4K 6 K%Q c `=U J UYQ�U0M4Q4IYM�UYQ � � + ��� � ��� ����� �ed � �7 M4Q�UYLeH c �W�XUYIaM�QSIYM�K �$�NUYT�I J K � � + � 4 � ��� � ��� �ed ���7 J Q4K 6 K%Q c `=U J UYQ�U �NU�TVI J U�Q � � + ��� � ��� � � � �ed �&�7 ^ [U3" c ^ U.H ] HSM4K�LNM�UY`_U UYK%Q4IRO c�W U ^ K�LNM4K � + � � � ��� � � � �ed �&�

K#" J I�K%LiM4K J UYQ�U IYH ^ U ^ [��6 K%Q4IRH J K �i] K�LeIRH # �ed � ��% ��U J K�H�U�Q `_KaK�H M�UYQ ^ IRH W I ^hJ UYQ4UYL_`_I(U(7RK%H W I ^^ U ^ [� 6 K�Q4IYH K O�[��J K%`_K�H W I ^ �i] UY`_Q:[]_J K%`_K�H d -K)7RK#��H4K J K�Q W K�O K�Q U c Le`=U �i] K ]_^ U `_UYH�` ] UYH?K � ] U �WYXIRK%HU J QSK�H4K%LNM�UY`=U�H J UYQ4U IRH�Q4I K�`eIRQ4K%H J IRH4H ] c J Q�U M cVW U ^ K�LNM�K I ^ K�H ^ IPK#" J I�K%LNM�K K%L W IYLiM4Q�UY`eI J UYQ4UPIYHO�[�VJ K�`eK�H # �ed � �&%&d

4 7YK�TVI W�c `=UY`_K ^ [U3" c ^ U0K�H M [U W IRQSQ4K%T U W%c IRL=U�`=UaUYI W I ^hJ Q c ^ K�LNM�Ia`_I W IRQ J I

4 7YK�TVI W�c `=UY`_K ^ [U3" c ^ U K%HSM [U ^ U c H W IRQ4QSK�T U W�c IYL=UY`=U U�I W I ^hJ Q c ^ K%LiM4I `_I W IRQ J I(`_I �i] K {U^ U�H4H�U � J K%TVI ^ K�LeIRH J UYQ4U IRH0`_UY`_IRH0`eK 4 T�K#"eUYL_`_K%Q0K W IRT U�O:IRQ4UY`_IRQSK�H 4 � � d � ^ H4K ] M4Q�UYO_UYT � IH4IROeQ4K ] L*� ] TVUY`_IRHPU 6 Q cVW U�L_IRH�� K�HSH4K%H J K%H �i] c H�UY`_IYQ4K�H J_] O_T cVW U�Q�U ^ ` ] UYHPK �i] U �W�XIRK�H J UYQ�U � ��� d 4J Q c ^ K c Q4U)*_[U 6 I c U J QSK�H4K%LNM�UY`=UBL=UaM�UYO K�TVU�4 d � KbK%HSM [UBQ4K%K�H W Q c M�UhUaH4K�� ] c Q 9

� ��� ��� � � ��� � . � � + ����

# 4 d � 8&%IRL_`_K � ���PK�H M [UBK ^ � � !�� d 4 H4K�� ] L_`=UaK � ] U �WYXUYIBQSK�T U W�c IYL=U0U 7RK%TVI W�c `=UY`_K ^ [U3" c ^ U # � ��� % W I ^I W I ^hJ Q c ^ K%LNM�Ia`_I W IRQ J I # � � % K J IRH4H ] c ]_^ U W IRQ4QSK�TVU �WYXUYI ^.] c M4I ^ U c IRQ

� ��� 4 8 � � � ��� ) � � � + � 8�

# 4 d � ��%IRL_`_K � ���0K%HSM=[UhK ^ � � ��� ��� ��� � � � & � � � � �)� � ! &�� �'! � � � d

ZEIYM�K �i] K U 7RK%TVI W�c `=UY`_K ^ [U3" c ^ U K�HSM=[U ^ U c H W IRQ4QSK�TVU W�c IRL=UY`=U(UYI W I ^ J Q c ^ K�LNM�I `eI W IYQ J I`_I � ] K {U ^ UYH4H4U d

0 0 0 1 ?EMS91X FHT�L�T�? P�� P>FH9<MS9��<FHX�LG�?EIK=Q? ? � 7�F��LMH?EIK=>?EPfK��RT ] Le` K � U"! TVIYQ J QSI J_] HSK�Q4U ^ U K " c HSM xK�L W%c UB`_K � 7RK%TVI W�c `_UY`_K�H $ H c IRT�I�� c�W U ^ K�LNM�K K �i] c 7�UYT�K�LNM�K%HJ UYQ4U IRH ^ U ^ [� 6 K�QSIRH 4 � � d 4 7�UYQ c U �W�XUYI `_K%H4H�U�H 7YK�T�I W%c `=UY`eK�HK0`_U 6 Q4K �-�]#xK%L W�c U `_K J UYHSH4IRHbU K%H4H4UYH7RK%TVI W�c `_UY`_K�H W I ^ U ^ U�H4H�UaK%HSM [UB`_K%H W Q c M�UhL=U�H M�UYO K�T U�H 4 d 8 K 4 d���d

ZEK�H4HSK�U�QSM c �RI*� EK��RT ] L_`PK � U"! TVIRQ ] M c T c w U�Q�U ^ U K �i] U �W�XUYI 4 d � 4 J U�Q�U W UYT W ] TVUYQ�U K�L_K%Q�� c U �RUYHSM�UJ IYQ W UY`_UPU�L c ^ UYT�U W UY`=U J U�H4H4I d�� TVK�H W � K��NUYQ4U ^ {UHSK�� ] c LNM�K W IRL W T ] H XU�I 9 U M4I�`=U�H�UYH 7RK%TVI W�c `=UY`_K%HK �i] c 7YU�TVK�LNM4K�H # K " W K%M4I U 7RK�T�I W%c `=U�`_K ^ [� L c ^ U J UYQ4U M�QSIYM�UYQ % �EU K%L_K�Q � c U �NU�HSM�U J IRQ J UYH4HSI J IRQ

] L c `=UY`_K0`eK ^ UYHSH�U [K W IRL_HSM�UYLNM�K d Z U LeIYM�U �W�XUYI �i] K ] M c T c w U ^ IRH L=U K �i] U �WYXUYI 4 d � � c H4H4I(H c �RL c $=W U�i] K�� � � � � � � ! � � � � &���� �����Rd 2H 7�UYTVIYQ4K�H `_K�HSH�U W IRLeHSM�U�LiM4K�H H XUYI 9 � + ���� � � ���'&�& � � � J UYQ4UaU

4 8

Page 61: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;�� ��� � � � 3���"A������� �#�4�&������5 �7&����>./�:�A���?0>����� ��<;���3 � .�� �>����- �-5�74��; �3��������� / � 1�5 D � '�?�#./��������3:��.=���>D

z K%TVI W�c `_UY`_K K �i] c 7�UYTVK%LiM4K ��� � � � �� # & � � % Q �7 ^ [� L c ^ U J UYQ4UaM4Q4IYM�UYQ ��� � � ���� � + 4 � ��� ��� � # � �ed�� �7 J Q4K 6 K%Q c `=U J UYQ�U0M�QSIYM�U�Q ��� � � � �� + � � � ��� � ) �ed � �7 M4Q�UYLeH c �W�XUYIaM�QSIYM�K �$�NUYT�I J K ��� � � � �� 4 + �.� ��� ��� � � �ed � 7 J Q4K 6 K%Q c `=U J UYQ�U �NUYT�I J UYQ ��� � � ���� 4 + 4�4 ��� ��� � � � �ed � �7 ^ [U3" c ^ U0H ] HSM�K%LNM�UY`=U UYK�QSIRO c�W U ^ K�LNM�K ��� � � ���� 4 + ��� � � ��� ��� � �ed � 4

7RK%TVI W�c `_UY`_K J Q4K 6 K�Q c `=U J UYQ4UbM4Q4IYM�UYQ�� � + ��� � � � � &"& � � � J U�Q�UPU 7YK�TVI W�c `=UY`_K `eKEM4Q�UYL_H c �W�XUYI M�Q4I�M�K#��NUYT�I J K1� � + � ��� � � ���'&"& � � � J UYQ4UPU 7RK%TVI W�c `=UY`_K J QSK 6 K%Q c `_U J UYQ�U �NUYT�I J UYQ K � + 4 ��� � � ���'&�& � � �J UYQ4U U37YK�TVI W�c `=UY`_K ^ [U3" c ^ U(H ] HSM4K�LNM�U�`=U UYK�QSIRO cVW U ^ K�LNM�K d 2O_HSK�Q,7RK �i] K U K�L_K%Q�� c U3�NUYH M�U J IRQ

J UYHSH4I J IYQ ] L c `=UY`_K`eK ^ UYHSH�U W Q4K�H W K W I ^ U 7RK%TVI W�c `=UY`_K d 2 OeH4K�Q,7RK M�U ^ O [K ^ �i] K I 6 U�M�Ia`eK � ] K� � � � � � ��! � � � � &���� ����� 6 I c ] H�U�`_I J IRQ L [IYHEL_UBHSK �W�XUYI 4 d$�Rd � d

2 � ] K [K 7YK�TVI W�c `=UY`_K J QSK 6 K%Q c `_U��4fI HSK T�I W I ^ I 7YK�Q4K ^ K ^ H4K ] � UYO c M�U�M(L_U�M ] Q4UYT �fIRH UYL c ^ U c H L XUYI ] M c T c w U ^ I c LNM�K%Q 7�UYTVI

c LNM�K c QSI `_K 7YK�T�I W%c `=UY`eK�H �i] K H XUYI W U J U w K�H `_K ] H�UYQ d I ] W UYH 7YK�T�I W%c `=UY`eK�H H XUYIK�H W IRT �_c `_UYH��NU�H �i] U c HQ4K W K�O K ^ IaL_I ^ K`_K 7YK�TVI W�c `=UY`_K%H J Q4K 6 K�Q c `=UYH d K%L_L ! W ] cVW � IYO_H4K%Q 7RI ] K%HSM�K W I ^hJ IRQ M�U ^ K�LNM4I0K ^�NU w K�T U�HaK �YL ] HhK ^ ^ c �RQ4U �WYXUYI L=U [4 6 Q c�W U � � d 4 $ � ] Q�U 4 d ^ IYHSM�Q4U I\L []e^ K%Q4I `_K UYL c ^ U c HIRO_HSK�Q 7�UY`eIRHbK ^ W UY`=U c LNM�K%Q 7�UYT�I `_K 7RK%TVI W�c `_UY`_K�H d 4 $ � ] Q�U 4 d 4 ^ IRH M�Q�U I(L []_^ K�QSI `_KhUYL c ^ U c HIRO_HSK�Q 7�UY`eIRHfK ^ W UY`_U c LiM4K�Q,7YU�TVIB`_K 6 Q4K �-�]#xK%L W�c UB`eK J U�H4H4IYH d 2O_HSK�Q,7RK �i] K UYH 7RK%TVI W�c `_UY`_K�H J QSK 6 K �Q c `=UYH J UYQ�U �NUYT�I J UYQ�L XU�I.H XU�I0UYH 7RK%TVI W�c `_UY`_K�H ^ [U�" c ^ U�H�� ]_^ U 7YK w �i] K U/7YK�TVI W�c `=UY`_K ^ [U3" c ^ Ub`_U�NU w K�T U � � I ^ HSIRL [K � � + ��� ! & � KPU�7RK%TVI W�c `=UY`_K ^ [U3" c ^ U.`_I �RL ] [K � ��� ! & �=HSK�� ] Le`_I 5bUYQST UYL_` � � d

4 6 Q4K �-�]#xK%L W�c U `_K J U�H4H4IYH U 7RK%TVI W�c `=UY`_K%H J Q4K 6 K�Q c `=UYH17�UYQ c U W I ^ I W I ^hJ Q c ^ K%LeM�Ih`=U J K�QSL=UK�T�K�7�UY`_I U�I K#" J I K�LNM4K � � + � � W I ^ I ^ IRHSM4Q�U ^ UYH.K �i] U �W�XIRK�HhUYO=U c "�I IROeM c `=U�H J IRQ K%L_L ! W ] c�W � � �:9

7 J QSK 6 K�Q c `=UBUYLe`=UYQ ��� � � � � � � � � ��� � � � �# 4 d � �&%

7 J Q4K 6 K�Q c `=U0M�QSIYM�UYQ ��� � � � � � � � � ��� � ��� �# 4 d � �&%

7 J QSK 6 K%Q c `_U%�NU�TVI J U�Q ��� � � � � � � � � ��� � # )�

# 4 d �&%IRL_`_K � [K U UYT�M ] Q�U `_I\I ^ OeQ4I\U�M�[K(I W � XUYI��K�H M�UYLe`_I I\UYL c ^ U�T�K ^ QSK J I ] HSI d � ^ Q4K%H ] T M�UY`eIH c ^ c T UYQ 6 I c IROeM c `_I J IRQ 4fTVK#"eUYLe`_K�Q K W IRTVUYO IRQ�UY`eIRQ4K%H 4 � � J UYQ4U ] L*� ] TVUY`_IRH �NU�TVI J U�L_`_I 9

7 J Q4K 6 K�Q c `=U �NUYT�I J UYQ ��� � � � �� � + � � � ��� � � � � + �&��

# 4 d ��%IRL_`_K � [K.U UYT�M ] Q�Ua`=U J K%Q4L=UBM�Q4UYH4K c Q�U � K%HSM�UYL_`_I I UYL c ^ U�T�K ^ Q4K J I ] H4I d� HSH4K W I ^ J IRQ M�U ^ K�LNM�I[K ^0] c M�I c LNM4K�Q4K%H4H4UYLNM�K � *_[U �i] K K�TVK [K H c ^ c TVUYQ UYI W I ^hJ IYQSM�U ^ K%LiM4I `eK ]_^ J#xK%L_` ] T�I H c ^ J T�K�H

� � 3 �)�4���1����� ����3:� ���<74" ; �3���� %>�� ��������� � ��������� �� �<�- ��� 1=��� ��� /21��45 * "$� 5�7>� ��� �>�4� '� �740+��������� ��,;��3���.�� �4�����

04���/�������:�4�A0>����&!��3���0>����"#��)������4�A�>� #>!�74��� �>D 4D

4 �

Page 62: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

��������� � �%����� � �: ����� %474��.�=�� �4��8;��3���./�:�4������8��%>�����; ���4� 0+�� ! ���4� � ./74�:.�+ D � �3 �����1��;��������:.��� ��=��� ��

;���3 � .�� �>����- " '�-���:�<� � '� �A� '74"#�����#�4� ��4� "#�� <��%>�����; �������D � ������ � ! ���>� � .�74� .�+b/ �& �5 D

��������� � �%� �%��� �: ����� %474��.�=�� �4��������5 �7&����>./�:�<���?01��)��<�%>�����; ��4�� 0+�� ! ���4� � ./74�:.�+ D � 3 ��� �>�<;��������:.����:,�=���

��������-5 �7&����>.�� ��<��� 0>��)���"6'�����:�<� � '� �#� '74"#�����$���?���4� "$���:<�%>�����; ������D � ������� � ! ���4� � .�74�:.�+b/ �G �5 D

4 �

Page 63: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

#������� ��� � $ � � � � ��� � �_IYL_`_K ������ ��� � $ � [KbU 6 QSK � �]0xK�L W%c U0`_K IYH W�c T U �W�XUYI0K � I W I ^hJ Q c ^ K%LiM4I0`_I J#xK%L_` ] T�I %Gd UYQSK W K � J IRQSM�UYLNM�I*� �i] KaIRHU�L c ^ U c H J QSK 6 K%Q4K ^ W IRQSQ4K%Q ] M c T c w UYLe`_I 6 QSK � �]#xK�L W�c U�H`_K J U�H4H4IYH c � ] U c H{UYHbH ] U�H 6 QSK � �]#xK�L W�c U�HPL_U�M ] Q4U c H `eKhIYH W�c T U �W�XUYI*� K W IRLeI ^ c w UYLe`_I*�?UYHSH c ^ ��K�LeK�Q�� c U ^ KGM�UYO [IRT c�W U d -K6 U�M�I� ^ K�` c `=UYH 6 K c M�U�H K ^ W U(7YU�TVIRH c L_` c�W U ^ �i] K\UYL c ^ U c H T c 7 Q4K�H K%H W IRT � K ^ �NUYT�I J UYQ K M�QSIYM�UYQ

W I ^ 7RK%TVI W�c `_UY`_K�H J Q=[I " c ^ UYHF{U � ] K�T U�HaK ^ �i] K(I UYL c ^ UYT�RUYHSM�U ^ K%L_IRHaK�LeK�Q�� c U J IRQa` c H M xUYL W�c UJ K%Q W IRQ4Q c `=U � 4 � d

[� c ^hJ IRQ M�UYLNM4K Q4K%H4H4UYT�M�UYQ �i] KPU J Q4I J IRQ W�c IRL=UYT c `=UY`eKfK%LiM4Q4KPU 6 Q4K � �]#xK�L W%c U0`_K J U�H4H4IYHEK � � ��� �(�IRL_`_K � [KaI W I ^ J Q c ^ K�LNM�I `=U J K�Q4L_U��L XUYI [K 7�[UYT c `=U � ] UYL_`_I(IRH U�L c ^ U c H W IYQ4Q4K ^ {U 7YK�TVI W�c `=UY`_K^ [U�" c ^ U d U�Q�U.HSK W IRL 6 K%Q c Q U c L 7�UYT c `=U�`_Kf`eK�H4H4UaQ4K�TVU �WYXU�I J UYQ4U0U 6 Q4K � �]#xK�L W%c U.`_K J UYH4HSIRH ^ [U3" c ^ U�O=UYH M�U ] H�UYQ IRH `_UY`_IRH `=UaM�UYO K�TVU�4 d d

g Q4K � �]#xK�L W%c U0`_K J UYHSH4IRHEK 6 Q4K � �]#xK%L W�c Ua`_K ^ UYH M c �NU �WYXU�I-Q ]6w c L_H � ! ^ K�` c ] U 6 Q4K � �]#xK%L W�c U `eK ^ UYHSM c �NU �WYXUYI K ^ � 8 ^ U ^ [��6 K%Q4IRH `_K � + ���&� U � � � � ��� � � � d 4 K " J Q4K�HSH XUYI Q4K J IRQ M�UY`_U J IRQ K%TVK [K

� �� �� ��� � � � 8 � � ��� � � . �# 4 d �� %

IRL_`_K � � ��� � � � K�H M [U K ^ & � �EK � K ^ �YQ�U ^ UYH d � H4HSKaQ4K%H ] T M�UY`_I [K W ] Q c IRH4I J IRQ � ] K0I K#" J I�K%LiM4KUYTVI ^ [KGM�Q c�W I J UYQ4U U � �� ��� ��� � [K ^0] c M�I HSK ^ K�T � UYLNM�K U�IRH.K " J I K�LNM�K%HBUYTVI ^ [K%M4Q c�W IRHP`=U ��� � � ���� Q4K#�J IYQSM�U�`_IRHBL=U\M�UYO K�T U 4 d���d ��^ J UYQSM cVW ] T UYQ�� I 7�UYTVIRQ � � + � K�L W IRLNM�Q�U�`_I J U�Q�U I\K#" J I�K%LNM�K `_U

6 Q4K � �]#xK%L W�c U.`_K ^ UYH M c �RU �WYXUYI\[K I ^ K�H ^ I.K�L W IRLNM�Q�U�`_I J UYQ4U0U 6 Q4K � �]#xK�L W%c U.`_K J UYH4HSIRH {U 7YK�TVI W�c `=UY`_KJ Q4K 6 K�Q c `=U J U�Q�U M�QSIYM�U�Q d � HSH4K W I ^ J IRQSM�U ^ K�LNM�I `eKaK�H W UYT U J Q4I 7�U 7YK�T ^ K%LiM4Ka`_K�7YK K%HSM�UYQ J QSK�H4K%LNM�KH4K ^ J QSK �i] K ^ [] H W ] TVIRHEK�H M c 7YK�QSK ^ HSK�L_`_I HSIRT c�W�c M�UY`_IYHfQSK J K%M c `=UYH17RK w K�H�� W I ^ I L=U ^ UYHSM c �NU �W�XUYIhKL=UBTVI W I ^ I �WYXU�I d

0 0 0*/ � IC? ;��KFSL�T�L�MH91X�9<GR9��X��L�9� ^ U � ] K�HSM XUYI c ^ J IRQ M�UYLNM�K Q4K�TVU�M c 7�U {U T�I W I ^ I �WYXUYI `_IRH UYL c ^ U c H H4K QSK 6 K�QSK {U �i] UYLNM c `=UY`eK\`eKK�L_K%Q�� c U%�RUYHSM�U J IRQ ]_^ UYL c ^ UYT J U�Q�UBH4KPTVI W I ^ I 7RK�Q K W I ^ IBK�HSH�U K%L_K�Q � c Ua`_K J K%L_`_K `=U ^ UYHSH�UBK`=U 7RK%TVI W�c `_UY`_K `_I UYL c ^ UYT d � U"! TVIRQ ��� � � IROeM c 7RK%Q�U ^ U HSK�� ] c LNM�K Q4K%T U �W�XUYI K#" J K�Q c ^ K%LNM�UYT # K �i] U �W�XUYI4 d � 4*�_HSK �WYXU�I.4 d � d$��%�J UYQ4U U J IYM xK%L W�c U ^ KGM�UYO [IYT cVW U.` ] Q4UYLNM�KPUBTVI W I ^ I �WYXU�I 9

# � � � Z *� $�� � � $ � � � � '8��� ��

� + � � � ��� ) ��� ' � � + ��� � � ��� ) � )�

# 4 + � 4 %IRL_`_K

# � � � Z *� $ � � �&$ � � � � '8��� � [KbU J IYM xK�L W%c U ^ K%M�U�O [IRT c�W U W IRL_H ]_^ c `=U0K ^ ] L c `_UY`_K�H `eK � � ��� ! & � � [K7RK%TVI W�c `_UY`_K K ^ � ! & K � [K ^ UYH4H4UaK ^ ��� d

� U"!�T�IRQEK W IYT UYO IRQ�U�`_IRQ4K%HfK%HSM�U 7�U ^ J QSI W ] Q�UYLe`_I `_K ^ IRLeHSM�Q4UYQ ]e^ U W IRQSQ4K�TVU �WYXU�I K�LNM4Q4KaU J I �M xK%L W�c U ^ KGM�UYO [IRT c�W U `=U TVI W I ^ I �W�XUYI # # � � � Z *� $�� � � $ � � � � '8��� � % K U M�U3"eU `_K 7�UYQ c U �W�XUYI `=U K�L_K%Q�� c U^ K W xUYL cVW U M4IYM�U�T `_IYH UYL c ^ U c H # # � � ��H� � � � %Gd UYQ4U K%H4HSK $ ^ � K�TVK%H $ T ^ UYQ4U ^ 7�[UYQ c IRH UYL c ^ U c H

W IRQSQ4K%L_`_I*� ^ K�` c Q�U ^ IRH ^ I ^ K%LiM4IRH `_K c L�[K�Q W�c U`eIRH�H4K�� ^ K%LiM4IRH�`_I W IRQ J IbKEUYHSH c ^ 6 IRQ�U ^ W U J U w K%H`_K\`_K%M4K�Q ^ c L_UYQ(U K%L_K�Q � c U ^ K W xU�L cVW U `eI W K�LNM�QSI `_K ^ U�H4H�U K `_IRH H4K�� ^ K%LNM�IRH `_I W IRQ J I K ^

4 �

Page 64: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;�� �%� ��� % 71 ���#�4� ������>�01���)��� ���>./�������������A01���,;�'���� �� � ��;���)��� !�����������D � ,�4������ �������" ./��"A0>��3:������01���� .��>"A�:� � "�� ����3 ����a/ �5 D

4 L c ^ U c H � ] H M�I `_K M�Q�U�L_H J IRQSM4K � ] HSM4I J UYQ�U � � � ��a^ U ^ [��6 K%Q4IRH � !�&�� � � + 4 8 ��� ��� � � �ed � � Q [K J M4K c H � !�&�� � � + � � � ��� )�) �ed 8��� U(7YK�H � !�&�� � � + 4 � ��� ��� � � �ed 8 ���� ^ U ^ [��6 K%Q4IRH � !�&�� � 8 + � ��� ��� ) � �ed 8 �� � ^ U ^ [��6 K%Q4IRH��eU(7YK�H KbQ [K J M4K c H � !�&�� � � + � � � � ��� ) � �ed � �8�� U 7YK�H�� ^ U ^ [��6 K%Q4IRH KbQ [K J M4K c H � !�&�� � + ��� � � ��� � . �ed � 8� � ^ U ^ [��6 K%Q4IRH��eU(7YK�H�� Q [K J M�K c H�� 6 IRQ ^ c �NU�H � !�&�� � � + 8 � � � ��� ) � � �ed�� 88 � ^ U ^ [��6 K%Q4IRH��eU(7YK�H � !�&�� � 4

�� ��� ��� ) ��� �ed �

Q4K%T U �W�XUYI UYI W K%LiM4Q4I `_K ^ U�H4H�UhK ^ W UY`_U �i] UY`_QSI `_I $ T ^ K � � � � 8 � ��� � d 4 J U�QSM c Qf`eK�H4HSK�H `=U�`_IRH��K�T�K�H W � K��RUYQ�U ^ {UBQSK�TVU �WYXUYI # ��� ���� � � �

� � + 4 ��� � � � � ) � + 8�� � � � + ��� � + # 4 d � %

� H4H4U.K �i] U �WYXUYI0` c w1� ] K �_K ^ M4K�Q ^ IRH�K�H J K W [� $=W IRH��_U M�U3"eU `_K17�UYQ c U �WYXUYIP`=UPK�L_K%Q�� c U ^ K W xU�L cVW UM�IYM�UYT `eK J K�L_`_KPU J K�L_UYH `=U 7RK%TVI W�c `=UY`_K��eI �i] K [KH ] Q J QSK�K�Le`_K�LNM�K��&*_[U �i] KbU J IYM xK�L W%c U ^ K%M�U�O [IRT c�W UK�H J K W [� $_W U # K �i] U �W�XUYI 4 d � 4 % L XUYI\`_K J K�L_`eK H4I ^ K%LiM4K(`=U 7YK�T�I W%c `=UY`eK � ^ UYH0M�U ^ O [K ^ `=U ^ UYHSH�U d2H U ] M�IRQSK�H(H4K 7 c Q�U ^ IRO_Q c �NUY`_IYH(U W IRL W T ] c Q �i] K L XUYI [K J IRHSH�[� 7RK�TPK#" J T cVW UYQ(U U�TVI ^ K%M4Q c U `_UK�L_K%Q�� c U ^ K%M�UYO [IRT cVW U(`_U TVI W I ^ I �W�XUYI(H c ^ J T�K�H ^ K%LiM4K W IRQSQ4K�TVU W�c IRL=UYLe`_I ��U�{U 7YU�Q c U �WYXUYI(`=U K�L_K%Q�� c U^ K W xUYL cVW U d ��IRL_HSK � �] K�LNM�K ^ K%LNM�K � U K�LeK�Q�� c U ^ K%M�UYO [IRT cVW U0L XUYI K%HSM=[U ` c QSK%M�U ^ K%LNM�KPQ4K�TVU W�c IRL=UY`_UhU�IM�Q4UYO=UYT � I 6 K c M�I J K%TVIRH ^ [] H W ] TVIYH d

2 W ] H M�Ih`_K M�Q�U�L_H J IRQSM4K

2 M4K�Q ^ I � � # � % L=U.K �i] U �WYXU�I�4 d PM�K ^ ] L c `_UY`_KE`_K K%L_K�Q � c U J IRQ ] L c `=UY`_Kf`_K ` c HSM xUYL W%c U J IRQ] L c `=UY`_K�`_K ^ U�H4H�U d�� TVK 6 I c `_K%L_I ^ c L=U�`_I W ] H M�I `eK�M4Q�UYL_H J IYQSM�K�K�Q4K J Q4K�HSK�LNM�U UEK%L_K�Q � c U �NUYH M�U J IRQ]_^ U�L c ^ UYT J UYQ4U M�Q�U�L_H J IRQSM�UYQ W UY`=U �i] c T�I��RQ4U ^ UhH4K ] U ` c HSM xUYL W%c U `_K � � ^ d�� W � ^ c `eM ��Z c K�T�H4K�LW IRT�K%M4I ] 7 [U�Q c IYHP`_UY`_IRHbL=U(T c M�K�Q4U�M ] Q�U J UYQ4U I W ] HSM4I `_KBM�Q4UYL_H J IRQ M�K � d 2Hb`=UY`_IYH W I ^ J c T U�`_IRH

J IYQ K�TVKbK%HSM XU�IhL_UBM�UYO:K%T U�4 d �ed L ] M � W � ^ c `eM ��Z c K�TVHSK�L U W QSK�` c M�U � ] K I W ] HSM�I `_K M4Q�UYL_H J IYQSM�KhM�K ^ ]_^ W I ^ J IRQ M�U ^ K�LNM�I

] L c 7RK�QSH�UYT��RK�H W UYTVUYL_`_I W I ^ I ��� ��� ) d � H4H4I * ] HSM c $=W U W IRT�I W UYQ ^ U ^ [��6 K%Q4IRH���U(7YK�H��iQ [K J M4K c H K 6 IRQ ^ c �NUYHK ^ ]_^ ^ K�H ^ I �RQ_[U $=W I� W I ^ I 6 I c 6 K c M4I K ^ ]_^ `_IRH M�Q4UYO=UYT � IRH W�c M�UY`eIRH # 7RK%Q M�UYO:K%T U,4 d �&%Gd� W � ^ c `eM ��Z c K�T�H4K%L * ] H M c $=W UEI K#" J I�K%LNM�K � � � J UYQ4UfI W ] HSM4I`_K�M�Q4UYL_H J IRQ M�K U M�Q�U(7 [K�H `_IU�Q�� ]_^ K�LNM4I

�i] KBH4KBH4K�� ] K d ��IRLeH c `eK�Q4KhUYL c ^ U c H �RK�I ^ K%M4Q c�W U ^ K�LNM�K.H c ^ c TVUYQ4K%H d 2 L []_^ K�QSI `_K J UYHSH4IRH � L_K#�W K%H4H=[U�Q c IYH J UYQ�U ]_^ U�L c ^ UYT U�L_`=UYQ ]_^ U0` c H M xUYL W�c U� [K

� �-� � � � �

�# 4 d 4 %

IRL_`_K �-� � � � � [K I W I ^hJ Q c ^ K%LNM�Ia`_I J UYHSH4I d

���

Page 65: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

2 M�Q�U�O=UYT � I � ] K ]_^ ^ [] H W ] T�I 6 U w J I `_KbH4K%Q K�H W Q c M�I W I ^ I

� � *� � � � $ � � *� � � � $ � ' � *� � � � $ �

�# 4 d ��%

IRL_`_K � *� � � � $ � [K U 6 IYQ �W U �i] K I ^ [] H W ] TVI 6 U w K � *� � � � $ � [K I K�L W ] QSM�U ^ K�LNM�I `eI ^ [] H W ] T�I d� " J K�Q c ^ K�LNM�U�T ^ K�LNM�K�� H�U�O:K ^ IRH �i] K U 6 IRQ �W U ^ [U3" c ^ U `_K ]_^ ^ [] H W ] TVI [K J Q4I J IRQ W%c IRL_UYTs{U H ] U[UYQ4K�U K IK%L W ] QSM�U ^ K%LiM4I ^ [U�" c ^ I [K �ed 7YK w K%H�I W I ^hJ Q c ^ K�LNM�If`_I ^ [] H W ] TVI QSK�TVU3"eUY`_I � d 4 HSH c ^ �

� � *� � � � $ � � *� � � � $ � ' � *� � � � $ � � � � *� � � � $ ��

# 4 d 8&%IRL_`_K *� � � � $ � [KbU [UYQSK�Ua`=UBH4K �W�XUYIhQ4K%M�Ua`_I ^ [] H W ] TVI� � *� � � � $ � [K I W I ^ J Q c ^ K�LNM4Ia`_I ^ [] H W ] T�IaK

� � *� � � � $ � [KU ^ UYH4H4U.`_I ^ [] H W ] TVI d � ^ U 7RK w � ] K U ^ U�H4H�UPM�IYM�UYT:`eK ^ [] H W ] T�IRHh[K J Q4I J IRQ W�c IYL=UYT{U ^ UYHSH�UB`_I W IRQ J I �?K W UY`_U ^ [] H W ] TVIaHSK W IRLNM�Q4U c � 7RK wPJ IRQ J UYHSH4I*�_M4K ^ IRH � ] K

� � � � � ��� � ��

# 4 d ��%IRL_`_K � � � � � ��� [K I M�Q4UYO=UYT � I 6 K c M�I J K�T�I UYL c ^ UYT�K ^ ]_^ J UYH4HSI\K � [K U ^ UYH4H4U W IRQ J IRQ4UYT�`eIUYL c ^ UYT d 4fH4H c ^ �eI W ] HSM4I `_UhT�I W I ^ I �WYXUYI J I `_KbH4K�Q K%H W Q c M4I W I ^ I

� !�&�� � � � � � �'� �� �$&���x� � ��� � ' � � ' � � � � � � � ' �

� ��-� � � � � + # 4 d �&%

��IRLeH c `eK�Q�U�L_`_I �i] K IRH U�L c ^ U c H�H XU�I �RK�I ^ K%M4Q c�W U ^ K�LNM�KfH c ^ c T UYQSK�H�� �-� � � � � [K J Q4I J IRQ W�c IYL=UYT:U

� ��� ) � J I c H [K ]_^ U ^ K%` c `=U0T c L_K�UYQ d�& I �RI*�� !�&�� � � � � ��� ) + # 4 d �&%

� H4H4U\`eK�` ] �W�XUYI [K(U�M�Q4UYK�LNM�K�� J IRQ [K ^ K%T U J IRH4H ] c UYT � ] L_H J QSIRO_T�K ^ UYH d Q c ^ K c Q4U ^ K�LNM�K�� K�TVUH ]_J XIRK �i] KU K�L_K%Q�� c U ^ K%M�U�O [IRT c�W U ] M c T c w UY`_UbHSK,*4U J Q4I J IRQ W%c IRL_UYT UYI.M4Q�UYO=U�T � I 6 K c M�I J K%TVIRH ^ [] H W ] �TVIRH d�� H4HSI L XUYI [K W IYQ4Q4KGM�I*� J I c H IRH ^ [] H W ] TVIYH J I�`_K ^ 6 U w K�Q 6 IYQ �W U0HSK ^ U�T�M�K%Q�UYQ H4K ] W I ^hJ Q c ^ K%LiM4I*�I ] HSK,*4U�:IRH ^ [] H W ] T�IRH J I `_K ^ �NU�HSM�U�QfK%L_K�Q � c UhH4K ^ QSK�UYT c w U�Q M4Q�UYO_UYT � I d -K J I c H�� U 6 IRQ �W U `eK ]_^^ [] H W ] T�I([K J QSI J IYQ W�c IRL=UYTf{U [UYQ4K�Uf`_I ^ [] H W ] T�I �i] U�L_`_IK%HSM�K K#"�K�Q W K H ] U 6 IYQ �W U ^ [U�" c ^ U d ��IYLiM ] `_I*�` ] Q4UYLNM�KhU TVI W I ^ I �WYXU�I*� IRH ^ [] H W ] TVIRH L XUYI(K#"�K�Q W K ^ H ] U 6 IRQ �W U ^ [U3" c ^ U I M4K ^hJ I M4I�`_I d%& I��RI*�L XUYI J I�`_K ^ IYH U $ Q ^ UYQ � ] K U�H 6 IRQ �W UYH �i] KbIRH ^ [] H W ] T�IRH�K "�K�Q W K ^ HSK,*4U ^ HSK ^hJ Q4K J Q4I J IRQ W%c IRL_U c H{UYH H ] U�H {U�Q4K�U�H d

z U ^ IRHEU J QSK�HSK�LNM�UYQ U �RIRQ4UhI ] M�Q4UhIRQ c �RK ^ J UYQ4UhI K#" J I�K%LiM4K6� � � B`_I W ] HSM4I `=UhTVI W I ^ I �WYXU�I d� M c T c w UYLe`_IaUBK �i] U �W�XUYI.4 d � �eI W ] HSM4I `=UaT�I W I ^ I �WYXUYI J I `_KbH4K�Q K%H W Q c M4I W I ^ I

� !�&(� � � � � � � ���� ' �-� � � � � + # 4 d 4 �&%

z c ^ IRH � ] K � � � � � � � [K J QSI J IRQ W%c IRL=U�T {U � � TVI��YI

� !�&�� � � ��-� � � � � + # 4 d 4 ��%

� �

Page 66: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��87 9�;�� �%� ��� � 3 �"#�/�����:� ��� ./�"#04��� "A������� �4� 0>����� @ � ����� � � ��� ;���3 ��./�:�4����-��-5�7>��; ��3 ���������D � ��3 ��.�=��-

���-��7���� �4��,����<�����743���������,�04���-)��������4�� �>������%+��3:���>D �A� �>D ! D

z K%TVI W�c `_UY`_K K �i] c 7�UYTVK%LiM4K �-� � � � � �7 ^ [� L c ^ U J UYQ4UBM4Q4IYM�UYQ �-� � � � �� � � ��� )��7 J Q4K 6 K%Q c `=U J UYQ�U0M4Q4IYM�UYQ �-� � � � �� � � ��� ) �7 M4Q�UYLeH c �W�XUYIaM�QSIYM�K �$�NUYT�I J K �-� � � � �� � � ��� ) �7 J Q4K 6 K%Q c `=U J UYQ�U �NU�TVI J U�Q �-� � � � �� � � ��� )�)7 ^ [U3" c ^ U.H ] HSM4K�LNM�UY`_U UYK%Q4IRO c�W U ^ K�LNM4K �-� � � � �� � � ��� )��

Z XUYI H�U�O:K ^ IRH J Q4K)7RK�QbU U�TVI ^ K%M4Q c Ua`_K �-� � � � � � ^ UYH J I�`eK ^ IRH ] H4UYQIRH `=UY`_IRH `=UYH M�UYO:K%T UYH4 d 8 K 4 d��bJ U�Q�UbH�UYO K�Q W I ^ I � � � � ��� K%H W UYT U W I ^ U ^ UYH4H4U J UYQ4U 7�[UYQ c UYH 7YK�TVI W�c `=UY`_K%H d 4 M�U�O:K%T U 4 d �6 IRQ4LeK W KaIYHQ4K%H ] T M�UY`_IYH d z K ^ IRH �i] KaIYHK#" J I�K%LiM4K�Hb`_K �-� � � � � � K%HSM XU�I(M4I�`eIRH J Q_[I " c ^ IRH `eI 7YU�TVIRQ� ! �eI �i] KPK�H M [UB`_KPU W IYQ4`_I W I ^ I K " J I K�LNM�K � � ! B`=UBUYTVI ^ KGM�Q c U.`_I W ] HSM�Ih`=UBTVI W I ^ I �W�XUYI . d

4 �_c J [IYM4K�H4Kb`_K Q�U ^ K � U"! TVIYQ� ^ U J Q4I J IRH M�U c LNM�K%Q4K�HSH�UYLNM4KK �i] K ^ K%Q4K W K HSK�Q�` c H W ] M c `=U [KfU �ec J [IYM4K�HSKf`_K Q�U ^ K � U"! TVIRQ

J UYQ4UPU J IYM xK%L W�c U ^ KGM�UYO [IRT c�W U ` ] Q�UYLNM�KEU TVI W I ^ I �W�XUYI d � H4HSK�H U ] M�IYQ4K�H J QSI J_] HSK�Q4U ^ �i] KEU K�L_K%Q�� c U^ KGM�UYO [IRT c�W U �RUYHSM�U J K%TVIRH ^ [] H W ] TVIYH�` ] Q4UYLNM�KPU0TVI W I ^ I �W�XUYI\[K J Q4I J IRQ W%c IRL_UYT {U.M�U3"eU0`_KbU J T cVW U �WYXUYI`=U 6 IRQ �W U�_I �i] K H c �RL c%$=W U � ] K ��� �

# � � � Z *� $�� � � $ � � � � '8��� � �# � � � Z *� $ � � ��� � � � � ��� � ' �

�� � �# 4 d 4 � %

IRL_`_K# � � � Z *� $�� � � $ � � � � '8��� � [K.U J I�M xK�L W�c U ^ KGM�UYO [IRT c�W U0` ] Q4UYLNM�K.U TVI W I ^ I �W�XUYI*�

# � � � Z *� $ � � ��� � � � � ��� [KU J IYM xK%L W�c U ^ K%M�UYO [IRT cVW U � ] UYL_`_IaU 7RK%TVI W�c `=UY`_K([K w K�QSI*� � [KEI W I�K $=W�c K�LNM�Kf`_K W ] H M�I*� � [KfU ^ UYH4H4U

W IRQ J IYQ�UYT K �� � [KbIaM�K ^ J IB`_K W IRLNM�U�M�I W I ^ I HSIRTVI #8d��I ^ I # � � � Z *� $ � � � $ � � � � '8��� �

��# � � � Z *� $�� � ��� � � � � � �

� � !�&�� � ' �

�# 4 d 4� %

M�K ^ IRH �i] K� !�&�� � �

� ' �� �+ # 4 d 4�4 %-K $ L c Le`_I � � � ' �� � �RIRLe`_K � � [K Uf` c H M xUYL W%c U � IRQ c w IRLNM�U�T �i] K IbU�L c ^ UYT J K�Q W IRQ4QSK K�L � ] UYLNM�I

]_^ U J U�M�UaK�H M [UBK ^ W IRLNM�U�M4I W I ^ IBH4IYTVI*�eM4K ^ IRH

� !�&�� � �� �+ # 4 d 4 ��%

Q�U ^ K � U"! TVIRQ M4K�HSM�UYQ�U ^ K�H4H4U �_c J [IYM�K%H4K ^ K�` c L_`_IPI W ] HSM4I.`_K M�Q4UYL_H J IRQ M�K K � � J UYQ4U 7�[UYQ c IRH^ U ^ [� 6 K�Q4IYH ��� � K(U(7RK%H ��� � W IRQSQ4K�Le`_I\U 7�[UYQ c UYH�7YK�T�I W%c `=UY`eK�HaK K�L W IRLNM�Q4UYQ�U ^ �i] K U �ec J [IYM4K�HSK

#�� ��"�%4���)" )�C�4��5�74�* ��#;��3 ��./�:�4��4�?" '������"$�4* @ � ����� A � ��� � �4��,74�4!�743:������*>.��"#�$"#��)�����$�A���%1��3 �E�1D >D� �)�����!��4�$#+.�� 5�74� ��./7>)�����4� 3 � .��"#�

�.=������" 74�4!�743:�����&.���������>��� �� ;��3���.�� �4����� " '������"$� � =��� ���.��3 � ./�"

�� � "�D� � ����� D ������ � ��� ��� � '8�� � � � ����� D ������ � � � � � �� � '�8�����4����!�� � !��)��� 01��3���$" '7>�./743 ��$� � ����� � '�8� �����4�2���

�043��:.���.�=��A�4�&�����

�.��4D

� �

Page 67: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

`_K�H W Q c M�U J K%T U K � ] U �WYXUYI 4 d 4�� K#" J T cVW U `_K ��� U ����� `=U 7�UYQ c U �W�XUYI L_U J I�M xK�L W�c U ^ KGM�UYO [IRT c�W U W I ^I(U ]_^ K�LNM�I `_U 7RK�T�I W%c `=U�`_K.L_IYHbUYL c ^ U c H M4K�H M�UY`_IYH d 4 H4H c ^ ��U �_c J [IYM4K�H4Ka`eK�H W Q c M�U J K�T U K �i] U �W�XUYI4 d 4 �0L XUYI [K W I ^hJ TVKGM�U ^ K�LNM4K H�U�M c H 6 U M [IRQ c U d

2 ] M4Q4IRH J QSIRO_T�K ^ UYH K�L W IRLNM�Q4UY`_IRH 6 IRQ�U ^ 9� I W I�K $=W�c K�LNM�K � K�L W IRLNM�Q�U�`_I0L XUYI\[K W IRL_H M�UYLNM�K # L_IRH ^ U ^ [� 6 K�QSIRH � � + �'8 � ��� � � KfL_UYH U(7RK%H� � + � � � ��� � � % �

� U J K�H4UYQb`_KhU 7YK�H K ^ U ^ [��6 K%Q4IRH M4K�QSK ^ I ^ K%H ^ I�� ] HSM4I `_KaM�Q4UYL_H J IRQ M�K�� I W I K $=W%c K%LiM4K � [K

�Rd�� 7RK w K%H ^ U c IRQfL_UYH U(7RK%H d 2 HU ] M�IYQ4K�H K%H J K�Q4U 7�U ^ �i] K0I W I K $_W�c K%LNM�K0M c 7RK%H4H4KaI ^ K%H ^ I7�UYTVIYQ K ^ U(7YK�HEK ^ U ^ [��6 K%Q4IRH ��� ���

� W I ^ I 7 c ^ IRH UYLNM�K�Q c IRQ ^ K%LNM�K ��I � ] HSM4IB`_KM�Q4UYL_H J IRQ M�K [KI0M4K�Q ^ I � � # � % L=U0K � ] U �WYXUYI!4 d d� L c 7RK%Q4H4UYT ^ K�LNM�K�� L=U\T c M4K�Q4U�M ] Q4U W IRL_H c `_K%Q�U3��H4K �i] K K%HSM�U �RQ�UYLe`_K w U `_K J K%L_`_K U J K%L=UYH `_U

^ UYH4H4UP`_I UYL c ^ U�T � � � d ��IRLNM ] `_I��HSK U �_c J [IYM�K%H4KE`_K Q4U ^ K � U"! TVIRQ 6 IRQ W IRQ4QSK%M�U ��I � ] HSM4I`_KhM�Q�U�L_H J IRQSM4K `eK J K�L_`_K M�U ^ O [K ^ `=U 7YK�T�I W%c `=UY`eK # ] H�UYLe`_I U K �i] U �WYXU�I)4 d � �?M�K ^ IRH � ] K� � � ' �� � � + ��� � ��� .�� � ��� � ) � TVI��YI*� � � 7YU�Q c U W I ^ U 7RK%TVI W�c `=UY`_K K � J IRQSM�UYLNM�I*�:I � ] HSM4I`_K M�Q4UYL_H J IRQ M�K 7�UYQ c U W I ^ U 7YK�T�I W%c `=UY`eK %Gd

IRQBI ] M�QSI T UY`_I� ]e^ U K�7 c ` xK�L W%c U J IYH c M c 7�U J U�Q�U\U �ec J [IYM4K�HSK `eK Q4U ^ K � U"! TVIYQ 6 I c K�L �W IRL�M�Q�U�`=U J IYQ�fI !iM(K W IRT UYO IRQ4UY`_IRQSK�H 4 � � d � H4HSK�H c L57RK%HSM c �NUY`eIRQ4K%H IRO_HSK�Q 7�UYQ4U ^ � ] K W U(7�UYTVIRHU ]_^ K�LNM�U ^ I M�K ^hJ I `_K W IRLNM�U�M4I W I ^ I HSIRTVI # �� � %1�i] UYLe`_I W UYQSQ4K��NU ^ W UYQ �NUYH��:I �i] K0K%HSM [U `eKU W IYQ4`_I W I ^ U �_c J [IYM�K%H4K � J I c H���U ]_^ K�LNM�UYL_`_I(I M�K ^ J I `_K W IRLNM�U�M�I W I ^ I(H4IRT�I*� I W U(7�UYT�I K�HSM=[U

J Q4I W ] Q�UYL_`eI ` c ^ c L ] c Q�UBK%L_K�Q � c U ^ K%M�UYO [IRT cVW U �NUYHSM�U d

Page 68: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ����������� �

� � � � ��� � �� � �

4���� �������������� ����������������������! ����"����#$���%���"��&��'���'�!#'���)(&��������%��*�+(�-,-���'����./��#0�����1�2��#$���.3��4(�5 +*"�.6#87��9�"�:�-#�,� #$���" &;&�� ��4���-��<,=��>'�?@���:�#"4>�����,-���� �A�"�-��&����2��� ��� "�>B�-�"�����-#$�2����-C�2>���� ������%�D���E���� �����������F����G ���" �-.'��������H,� ��E �I�����%�����J>��" ����-�K���J���L����,-�����M#'�EN+�� �� O ���4.(�M������,-�"�����>P��6�������Q���M>B��=R��#�,-��� 9 � � �

$ � � �� .S #���� � � T��7���.S�"�-�">P��,����VU���K��#$����.S

,- ��>��"�����-#$��*�GL���WR����������*����3 ���" �3� � (�I�*�%���"���L,-���>B �����XC/YZ��?-���K��/&��K�*O ���#����G���1U[���-7��� �L�'��� �L�#"4>B�-�"�����-#$�2�����*������>B #\(� U��-���*#'�����V���������&����%�E>�&����-�� �L>B�-�",-�- B�-�L]0&��^ �L� "4>P[�-#$�����������_(�1������,- � � � � #87��D���-�`U���� �"�-�a P���H��� $ #����� ��.�U��������#�������*&��b ���"M>'�����M &�����D�6���*&��O ��&�>PK���D�#����K�����G>������� &����"�C �J #��"�-]0&���#0���-���-#$���.\#��-# 5 &��c��4���-��^]0&���>��� >B # 5 ��U��������-�$ "4 �a>'����� � � � .0,- ��d>P��3�#"4�-��>���Fd�K[������L�'�d�����K�������"���'�����+���e(���W����,-��./(�f&��K�d B$�L������,-�"�"g,7���'������ �������������� �f �"�� ��C

h ( �6�����K�#��"�������� �6]0&��.i��>B�-����6�'�%U���"���Pg,7��%����*�#"4>B4��#0���-� � � � .8��]0&'�#0�����'����� � �� ���-� &�� U���� ����>��� "4���K���'�����-#$���j,-�#��"����#$���:�k��O &'���Q� � .f #���� � ��l ��� (�!m�#"4>B4��#0���������_(�1������,-@���onp �qg,=�:�M&��",-&������ #srutwv-xy1z@{A|P}e~1| � � � � (� � ��� {A|P}e~�| � � � � �

� % C �"����#$���.J��������Pg,7��) � � � � ������,�����U��A&�����,- >��������-#$��j�-#$�����A�@��� �����������A����D �"�� �M�%�@���� �K�1���"����'��(���"�=���M&���,-&�������C � ��������%����>B �"����#$���F���-�"���E������&��V�2�����(�D]0&��E�-���D�"&���O �D���M,-�#��������-���Pg,�7 ����� ����*�d�'�#"P7��D�� �a ���" �-.4�-�`,- #$�������W���6,� �`���[���-����'�F�����K�������"���'�����J�-�=(���"����,-�F]0&��* ������-�3���"��-��,- #��������-���Bg,�7 ���*�� ����M�����D '��O ���!C h ( �6 ������"U���� �6���"���^��,- >��������-#$��K�-#$���"�E�A���� �K�1���"����� �L �"�� �L�M�A���� �������������'�;(����=���D&���,�&������6�-�cUJ(���"�� �6O ��&�>B �*���M�%��k(� np�-������M�����M +(���c#��� ���" �Q�'���f>P����#'��Q�����Q�eU��-��C

h 7�� 5 (��.�#'�Q���V���-�����&�����.w#���# 5 &��%�Q��U[���8R�-#�,��������J]0&��I�Q���� �K�1���"���I�� �Z ���" �/���"���,*���,� #���,��2����'�!��E��[,- ��Sg,7���.0�-�M B ���DUI(�������I��#$U ���"����O$���� �����I���-# 5 ����>��� >B �"��E]0&��d�-�"���E,- #�� "P7��^����U��-������#"4���W�����-. *�(�m]0&���(�@��&�����#$���o�m��4,� �KPg,�7���][&��: �A ���" �A�-7�9��&� ������������������A�K���� �"�-�^np �g,-���-Ch ( �D>P����,-�� P���K��E][&����:���� �����������j�'�kU��-��4,����'�����%��(�3"4���K�!�A�:���� �������"������:,-��K>��"�����-#$�����>'�����"���:U �-��4,����'�������(�3"4���%�:��>����-�"�-#$�2�� �"�-O ���K���^���!����,-�����o�����W����#0�� �^>'�������K���!(� np�-�" �>P��]0&��-#���D�^O ���#����-��C �j �"�������� �L]0&��K�Anp�" #$���������A��#0������ �d�� ���L���-O������-�d�-�W��(��>��'( "4���%���������*�0� C � #�,-�#0�������� �/����#����Q]0&��J�6���� �K�1���"���G���ns�q�� �����a,=���"O$�^��fU �-��4,����'����+��(�3"4���K�I�2���D J(�-�

� 4

Page 69: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

�����W����#�O �&��%�K���!(� np���� ��>P��][&��-#� �����AO ����#������-C � �%�kU��-?j]0&�� � 5 �����"������#��"�-#)���-�� #��W���" &_][&���%��k(� np�-����K>B�-]0&���#� �A�@O ����#������A���:,� �K>B �W�2��� ���knp����K���%�����"����#$�2���K]0&'��#���_9�����&�#0��`(�������K�1������������j�������j�:>��� >ZR��j]0&����m�K�������9��� ���)�[� �"�-�"���_�mnp�� #$���������m�-#$���"�������"�-�j�� �������O �����-��.J �����U��-�� �^��U[���8R��#�,-�����^�#"4>B�-�����K��#$�2����������,-�#��#"P7����-#$���"�k������ �����������k�� �� ���" ����A��[,- ��Sg,�7��C � �"���K�"�-�"&����������(�^����>P �W�2��#$����.8>B ���L�� �W�����A]0&�����������K�1�������%�� �d �"�� �:(�E&��>���� ������%�I����#ZR������,�I� #87��Q�-�"�'(�����,-�C � ���"�J>B #$��f�� �"�����G &������IU��#$�2��O ������f#� �"��f������2�����-#$���-� �������Pg,7��!��!��[���-��!�'�j�����K�������"���'�����D�-�=(���"����,-��.Z>B ���dnp��g,=��������'�#"P7��k4,� ���"�-����&�����#$���%���[,- ��Sg,7���.B�-#�]0&'��#$���.i>P �6 &����"A�������.\�%�����D '��O ���c���"��(�A�"�-���,-���#'���'�����,� ��>��������-7�j>�&�����.]0&��o(�L&�� ��U��-#$���>B &�,�^>���eUJ(�U ���i��&����#0���D�E,� ���"���'�E�� �Q��#����K������C

h 7�� 5 �=U4���A#'�A�������-�����&����%&��K�A���-���Pg,�7������ �9(��������,=�%>'����AAns��� �L����,-����O �m���U��-��[,-���'�������(��"����%�j>'�����@�%���!(� np���� ��>P��]0&��-#�������=U��-�-C � ��������?=��#���!���-R�-�E>��"4,��-�����K��#$�� �M�����"����#$����-. �-# �,- #4������K �6�%�������Pg,7�� �! ���� � ��� ��� ��� .P #���� �! ����9(�D%ns��� �6���M,=���"O$����KU��-��4,����'�����D��(�3"4���K��C� ��������?=��#���F�����M +(���H������ �I���M�������-�����&�����.0�-#�,� #$�������K��I���-R���I��U[���\R�-#�,������J��#��������1�2���+][&��L��&�>B � ��2��� �^�"�-���Pg,�7��^��� �_(��������,-� ��� � � ���� ����� � � ��� ����>'������Enp�"�-] �&8R�-#�,-���E���d>'����������(�3"4���K��C

� (������ � ��&4�� �"�-�3��&�>87 �-� ]0&��f�6np �g,-�*]0&��G � �K���!(� np�-�" �Z��>�����,=��� #�L�" ��k(�J>��� >B �",-���#'���4�����&j>B�-�"�����[�'���G��IU �-��4,����'����-��C��! �"�������� �I]0&��L�������^�"&�>B ���Wg,�7��E#87�m(�6UJ(�������'����DU��-��[,-���'�������(��"����%�4C � ���� �/�����M +(��� ]0&��fL,-��K>��"�����-#$��6��d>'�����"d#87��:(�G>����>P �",-�� #'���4��L,-��K>��"�����-#$���'�^>P����#'�E>'�����M��[�� �f�%��k(� np�-����I�M��[�'���GU ����[,-���'�������-.',-��Km(�L&��"&'�������-#$���F�"&�>B �"���C

� ��������?-��#�����'���� � �'�L�������������&����4.��-#�,- #$�������� �3]0&��6�*�K���"���L��d�-�"][&��-���1���(�G>��� >B �",-���#'���� � � � � � �-� �K���!(� np���� ��>P��]0&��-#���-C3���"�o���-�"&���������9����U�m�9&��K�<��#$������>��"�����Pg,�7��9�� �A�'����������np������#0���^�'�A&�#���U��-�"�������K��#0���Mnp�-�V�2��#'�A���V���������&�����C h ������A��#0���-�">����1�2�Pg,7��;(�^������]0&����A�K�����������-��]0&������1��_(�F>��� >B ��,��� #����a��^�%������E,� ��>B ����8�-� �K���!(� np���� �+>P��][&��-#� ��C

3# $ �j./np �� �F,=��>���?-���M���%�����M����O &��K���d,- #$������ �&��"g,7 �-�D��@>��" ������%���'�@��� �����������A���� ���" �-C

� �

Page 70: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ������������ �

� �� ��� � �� ��� � ���� ����� ���� �� �

h ���"���a��>8R�-#�����,-�.qU���� �i��>��"�-�"�-#$�2�����G�-]0&'�Bg,�7��f��� h �=U[����� � � �� � �-��. 4���-���I���-� ��� ���"�-&��������Z>'�����&��c��&� Bj�^������,�&������L��U��?�7��A#0&��T��&� Bj�-(� O ��������1U[����j�A ��,������Pg,�7 ���6�����K>B �������*��jO����������-#$������d>���������7���C

� � & � (������ +����! ")( #$�&%(' (*),+.- /, 10 ( -�!&��V�� �F�� �F,- #�,-�-�V�� ����>��"�-�"�-#$�2���� �M��]0&�� >B4���-�������D��#�,- #$����������D����&��K��np �"�%�A�K�����L� " �>��u(� ,-�V�2�M�-� ����U[�� � � ���#"[�� � 832 �XC � � �'&������>P[���F������������2��������#$��K#'�����-��,����Wg,�7������ & ��O ����#�O �,- ��k#��!��� &����-��C h �!������,����"g,7��@��� & ��O ���#�O ��.Z!np[,-!�-�"�'(�k�-� ,-���'�k>'��"�=(� ,-&����j��!�'&������.����#���^]0&��d,=���'�M&��%�M���������K(�L,=������,����-����?=�����D>P��I��&'�E>B ���Wg,�7���4� �*��&��EU��-��4,����'������4� #�M���-��>B5 C �E &�����@�������.3#��@���-�",-���Wg,�7��o��� &����-��. @np4,�:�-�"�'(�@#�:�'&������.3:]0&'���K(�%,=������,����-����?=����>P��6,=��K>B �6����,-�������"�-�L�DU����� ���������Q,- �������#������'�����.8>��"�-����7��� &kU��-��[,-���'�����C�66�"�����87:9;4�

�5=< (�

�E���-#��"���'����d��E�'&�����E#�^>P #$��>4� �L#�E���-��>B 5 .3?@9;4��5=< (�d�M>��"�-����7���#�^>P #$��>4� �L#�E���-��>B5 �A4� 9;4�

�5=< (����U ����[,-���'�����F��K��&�����K#�%>B #$���4� �D#�����-��>B 5 .B &k�"�CB���.P��U��-��[,-���'�����F]0&��D���-���-���-#$�� �Q���F�'&�����%����][&�������� ][&���#�������"�-7��%#'��>P����"g,7��D4� #�K�����K>B 5 CE6�]0&��u.�&���������?=���"�-�� ��E���-�",-���Wg,�7������ 3&������-C

6 ��]0&'�Pg,�7�j��� h �=U[���-� � � �� � ���L��&��"O �E�'�A��>�����,-�Pg,�7���'���-]0&'�Bg,�7������M��eU[�����-#$�� 4� { 4�>'�����@&�� �����-���-#$��������'&������CDFJ��KG4� 9;4��5=< (���kU��-��4,����'�����A��@�'&������.a�@���-�"��U���'�@>�����,������

�'�!U��-��[,-���'�����%�-� ���-���Pg,�7�@��k���-��>P�.IH � 4� ./#87�� (���k��,-�����-���Pg,�7�@����&�� �-���-���-#$��k���%�'&������C ������� ������6����,-���������Pg,7���.'���K��O ��#��*]0&��.P#����#��"�2�#0��� 5 � .B&�� �-�����K��#$������L�'&�����K���"���JB��K��� 4� �,- � U ����[,-���'������4� 9K4� �

�5 � < C h %��#��W�2��#$��� 5 � � 5 .S������-���-#$����-�W�2����(���-� 4� � �4� 9:4� �

�5 � < � 5 .P,- �U ����[,-���������A4� 9K4� � �4� 9:4� �

�5 � < � 5

�5 � � 5=< CL66�"�����!.B�%�,-�-���-���Pg,�7��K���F&�� �-�����K��#$��%���F�'&�����K���-��(�

�'���'�E>B �4� 4� 9K4� � �4� 9:4� �

�5 � < � 5

�5 � � 5=< �M4� 9:4� �

�5 � <� 5 NH � 4� O9P4�RQTS < 4�

�9U6�CWV <

#���� S (�L� >P�������� �GO ���������#0����C

� 8

Page 71: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6��fnp��g,=��G][&��D��O��-��#0&�� �������K��#0��^���L�'&��������7��^����U[���'���M��E>��������-7��. ��EU[����,-������������d�F�>P���-#�,-������G�#"[���-��#� �-C 66]0&��X.'#87��^,-�#��������-���������K �f �f>B�����#�,-�������J�#"[������#� ��C

�������-#�,� #$��������:np �g,-�����1U4���'�;���>���������7��m����'&������.I,-�#��������-�"�!&�� �����-���-#$��<,Z(&� ���,-���KU� ��&��K� � � � � ��� C(6�,� ��>P #��-#$��� � ���!np �g,-�!�"�-��&����2�#0���K���-�'(�!,- #$���"�� �&��"g,�7��-�D���k>���������7�����&���#���_#'���A��&'���Ans��,-���� >P��"�2��A,- � #� ���K������#'�9�����"�4g,7�� � �o��� (����=��A��O &'����A� � � ��� C3������fns�,-�-�G���"�-7��^��[,=������?=��'��� #'���G>B ���Wg,�7 ��� � � � � � .��"�-�">P��,����VU���K��#$����CI6����"���j.4�����K��G][&��� � � ?@9 � � �

�����5=< � ?@9 �

�����5=< � � � ��� ��C "4>'��#�����#�����-�"���%� "�>����-�"�-7���.8 ����-�� ��]0&��M�np �g,-�j>B �L&�#����'�����K���EU� ��&����^#'�������"�4g,�7� � ���-��(� � �� �&H � ?8C 66>�����,-��#���3�����E&�� ����,���[, (� #��������K�������*����I�&��������+ns��,��-��.� ����-�� �I]0&��d��np �qg,=�D>B �I&�#����'����*���6U� ��&��K������U[�����!��D>���������7��^���-��(�

�'���'�E>B � 4��� � S ? l 9U6�C � <6����-#���7������Q����,�$�����-#$��F#'�d�����"�4g,�7� � ����U[���'�%��LU[����,-������������f]0&���&��%�*,-���%��'�L���G�'&�����9s>�����#� � � < ��[,=������?-���'�f�-� � � � ns��?J#'�*,-���K���'�6��4,-������?=���'�G��� � (�I��� $ #������6>P���� ��� ��H� � �$. #���� �(�D%,-[����,-����#$���M����U4����,� �����'�����C ����%��#�,- #$�������L��,- ��>B #��-#$��� � �'�Knp �qg,=�%����U[���'�o��U[����,� �����'�����.i,- #��"���������^#�eU�����-#$���^&�� �������K��#0������E�'&�����j,Z(&� ���,�A���EU ��&���� � � � � ��� C 6��ns��,-���D >B �W�2���F���%#� ���K�����L#��!�������4g,7�� � .i��[,=������?-���'���L#'���>B ���Wg,�7 ��� � � � � � .�,- #$������ �&��-�>'����� � �$C 66�"�����j.S���-�� �*]0&�� � � � ��� 9 �

�� � �

���5=< ��� ��� 39 �

�����5=< � � � ��� C ��4>'�#�����#����o����U[������#���_>B�-��_U� ��&��K�.6 ����-�� ��]0&��<�_,-��K>B #���#0��� � �'�9np �g,-�9U[����,-���� >B ��&�#����'�����

���KU� ��&��K�_(� � � ���������� � C � ��������?-��#���j���"O &����-#$����D�����K�������"�-�L>'����k��D &���������,- ��>B #��-#$���-�-. ��4(�-�������L]0&�� � 4��� � S � 4� l 9U6�C! <(m P�� ���������-#$����� ][&��*�d���4>���������7��^��,-���%�k(�fUJ(�������'�d��>P��#'���+>'�����L�'&����� �a�-� ]0&�� S Q 4� 2 832 �uC

� ��������?-��#���E��f���-R���Q��]0&'�Pg,�7��-����,-���%��.4 ����-�� �f����]0&'�Pg,�7�K��� h �eU[���-�"� � �� � �-� 9H � 4� N9P4�RQTS < 4� � V7 S ? $# S � 4�

�9U6�C&% <

#����'# �)( 7_(�F�MU[���",- �"���'�����F,���#�����(�q����,-��Ch �%��&��-R�-#�,���������np #$���-�6�&k��&��K���� &��" �-.B�%�K�������K����'&�����)(�F,- #����-�WU���'��C 3�����K,- #��"�-�*�

U�Pg,�7��9(�L���4>��"�-�"���%������������ �G�'�^�-]0&'�Pg,7��K���^,� #$����#[&����'������.' &����JB���.H � 7,+ S�Q 9U7 4- </. 2cl 9U6�C � <

Y/��#'�����K��#0����.#��-,��-���"�������K��3���G&��K�*�-]0&'�Pg,7������G�-�"������d]0&��f��������,��� #��I�*���-#��"���'����f,- � �>���������7��%�F�E���-��>B�-���q��&�����C h �,=���"K�K�����G������>����-�-.������"&��K���K��I]0&���^�'&�����9(�d��#�,� �K>����-�"�=(0 U �-�9U7 . ,- #��"�2�#0��� < C21L�E��][&��Pg,�7������d,-�#0����#0&����'�����d ����-�� �G�-#$�-7��K]0&�� S�Q 4- . 2 C

� � � 3 �'4 ��R 576 / � � '; 98;:��) ';� 5,< �=< /,�=>> � ���� �^�-�"��&��'���%��U��?7��<���"�2�,-���#f(�����������k&�� �'&������U4����,� �����#�,� �K>����-�"�=(0 U �-�Q#0&�� ��&� B<���,- ��>��"�����-#$��@?GC 3��,� � 5 ���K��Lj���A�4 � >����������-��A���,- ��>��"�����-#$�����j��&� P�C FJ�����������-#$���.i�

/B ����>�3 �4��!�� ����;��A�0>������.�� 0+���5�74�DC%AEGFIH�E �KJLC%AE �/*>�7 ��NM)�4*4�#0>���-��=���A.���� .��"OE DP/Q )���&� =��� '� 74"$�#����"#��1 �����

�.�=���&��� !��������>D Q ����<����!7>"A����������- �-=���#��04�������������������5�74� �01���>��0>����A�4��

74"$�#�:��'��� �A�4�A�����!���" �4�&������"#�#�>����#0+��3:�&�-5�7>��.=����CD R4D

��S

Page 72: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

U ����[,-���������D����'&�����%�����c]0&��E���"�2��*#'�%�������[g,�7�� � �.8>P��"�2�#0���.8�K���-���Pg,�7� S Q 4- . 2 ����>�����,=�]0&�� H�� - � . 2 C21*�-�"���Mnp ���K��.��EU��-��4,����'�����L��E�'&���������->B�-#����d�" �K��#$���d��� � � � C � �-�� �f][&��4- . - �T9 �

�� < 4� C

6��J,-��K>B #���#0���-� � � � �'���-]0&'�Pg,7��E��� h �eU[���-�"� � �� � �-�+np ��#���,-���H]0&�� H � ? . 2 �*H ? . 2 .����>�����,=��#���6]0&��Q�L>���������7�����(d���->B�-#������'�*U���"�e(�U��-� � C��3(�F�L,� �K>B #���#$��� � �'�L�K�����K�*�-]0&'�Pg,7��#� �Gnp �"#��-,��F]0&�� � ?� � . �� H � - �H � � +

H � - �H � ��� l 9U6�C <FJ ��j�������A�-�"]0&��-�"��k�'�A��][&��Pg,�7�� (�Mnp&�#/g,7������ � � � �^������"�-�V���(�Mnp&�#/g,7��j�� ���-#$���^��� � . �I������I������ �+����U��-� �"�-�I��O &'�����I�D&��K�D,� #��"����#$���C��\ O �.4EO ���������-#$���*���*>���������7��9(�*,- #��"�2�#0����K>B[���^���-�F�-�",-�"����!,- �� � ? ( � � . ?@9 ? < �>?@9 2 < � ( ?GC 6��������!.Z�������W������ �&��Wg,�7��A���^U ����[,-���'�������(�E ������'�%��� S � - � . ,- #��W�2��#$��� C!6 ,� #����Wg,�7������Mnp�" #$��������� (�D][&��K�%U��-��4,����'�����M��A�'&�����A�-�,- #$�����j,- �Tj��&� P����1U �K���-�d#0&�����C � �KA��&� P����VU ���F&��%�A���[g,�7��!,-����,-&������*���K������� M.i�-#$�-7�����D,�4�������#'���'���D,-���u(0 #�������,-��� 9��[.��!� � < �-7�:������][&����'����C 1*��U[����_��k�����K�1���"����.Z�!U ����[,-���'����� (���#����->B�-#�����#$���E�����4C*6 ,- #����"g,�7������np�" #$���������K��O ���)(� - �T9�� . < . 2 C � ����#�����%���4>��"�-����7��������>�����,�����#�M#��-�"�����Q,-[ �"���-#'��'���-.��^�-]0&'�Bg,�7��K��,-���%� ��,=�

V� �� ��� � � - �� ��� . ?@9�? < �A?@9 2 < ? l 9U6�C S <6 ��#$����O ���Pg,7��E�����������E#� �Gnp ��#��-,-�F]0&��

- � . ?@9�? < ��?@9 2 <%�)? � � + � ��#.9�� < +�� l 9U6�C � <FJ �� - �J���1U �����-�2�'#��V��d#��,-�-#$����D��F��&� P�.0���-�� � ]0&�� � . 2 C,6;,-�#��"����#$�����K(�f���1����������#'�����>P�����%,� #����Wg,�7��%���Mnp�� #$���-������C�66�"�����!.P ������K��L�%�����"���"�� �&��"g,�7�%>'������ f( ����,-�K���MU��-��[,-���'�������-.8�&���JB���.

- �T9�� </. � ?% )? 9� � ��� � <�� 9U6�C < #���� � ? . ?@9 2 < ��? 9�? < (�D�%����np������#/g,=�����M>��"�-����7�����#0�����M�������������#'����f��K��&� B�C 6 U��?�7��"!�.������#����'�^,-��K#! .%$ - � � � .+(�d��#0���-O �����'�Mns��,��������-#$����C�&* ����-�� �G]0&��

! .(' �� ? � ? l 9U6DC V 2 <

3���������4>��"�-�"�-7���(�E,� # 5 ��,-���'�A,- ������-�Z���*)Z ������&���������C+)Z����#'�����O ����,- ���A�"�-���Bg,�7��-, . �.��A�-�������� �K��O #��1���������.P�#����*, (�E�����Vnp�-�"�-#/g,-�����E>P���-#�,-����u./ (�E���"�-�����"�=R�-#�,������-�1(��������,-���0. (��E,- �"���-#$���L�-�1(�1���"��,=�4.������'#����� �f�M�"�-�����"�=R�-#�,���� 5 ������[����#ZR��K��,=�+1 .%2 )? ( ' � ���d�����Pnp����K�M][&��� ? . 13!^C 6����"���j.S������np�����-#Zg,=�%����>���������7�� � ?�(�D%��#f(���� O ��'�%���Vnp�-����#/g,=�K���D>B�����#�,-�����4,�.S����������W�=R��#�,-��� 5 �����"4����#ZR������,-�51c(�6^��#f(��� O F�'�M�"�-�����"�=R�-#�,����M�-�1(��������,-�� �L��U��?7��6! (�*E��#f(��� O �'�^,- �"���-#$���F���1(�1������,=�6.�C

7 2

Page 73: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ��� � �=>> )':��� ' "� � 9< �=< � )I��" '�578 /�5 " 5 � )25,6�6 ��! 96 � ' +� � / : 1) '; "���"�

� ���� �6�>��������-#$�����d�%�����&/g,7��%>'������KU��?7�������&�� �'&��������#�,� ��>��������-(0 U ����U[���",- �"A#0&�����&� B����,� �K>��������-#$�� ? �%������ M.3]0&'��#���:&���O����������-#$���%����>��"�-����7��o ��,��������( �"��;(�A��>�����,-����k#���&� B�C 3�����K�" ��&/g,7��Enp �\��>����-�"�-#$�2��'�K>B � ��C�dC�<��K��������� ��� V��uC

� ���� ���� 5 ����-�� �j�-� ,-[ ������#'���'��@,-��� (0 #�������,=��� 9 � .���� � < .�,- � ����A�4 � >'��������������,- ��>��"�����-#$��A��A��&� P�C 6 U �-��4,����'����E����'&������(��4- . - � 4� C 1*��U[����j�A��#�,- ��>��������"�� ����������������K��&�������M�^�����K�1���"���E��%>��� ����-�K��. - � . - �T9�� � 5=< C FJ #��"����������#���A���Q,- ��>B #��-#$���-�3�E��������-]0&'�Pg,7��E��� h �=U[���-�*���[��������I ����-�� �J]0&�� ? . ?@9 � �=5=< CI66�"�����!.4�D,-��K>B #���#0��� � ���������M�-]0&'�Pg,7��(� H3?

H � .7 #� HH ��� � H - �H �5��� 7 H - �H 5 l 9U6DC V3V <

FJ #��������-������-�� �G&���O ���������-#$���F���F>����-�"�-7��H3?H � . � ?? � �4>@9�� { 5=< � 9U6DC V�� <

>P�����=( ����,�E#�^���-��>BE,- ��np�"�-]0&8R��#�,-����� . { ( 9�� ' < CI6�]0&��u. � ? . ?@9 ? < � ? 9 2 < C �[&�>P�#���^&��K��� ��&/g,�7�%�������>B - �T9�� �=5=< . | 9�� < � ��> 9�� { 5=< �D�����'#���#��� � . ��( M."! . $# { (�#!�&% . � ? ( ?f.>P[�����K �G�"�-����,-�"��U��-�*�^�-]0&'�Bg,�7��A9U6�CWV3V < �'���"�-O &���#$���Lnp �"�%��'�)( |� � ( + V�� |� � � �*! ( | . %3 (

l 9U6DC V <h ����*]0&�� | . | 9 � < . � �� �%�FU���� �"�-�J��#$����� 2 �!VL�L�D,-�#����"g,7��E���*,� #$�� �"#�9(�*��O� ��� | 9CV </. 2 C6��" ��&Zg,�7��d>'���W����,-&������3���-�"���D��]0&'�Pg,�7��(� |,+ . ��%� ( ( 9�! ( < C 6��" ��&Zg,�7��F�'�d�-]0&'�Pg,7�� 5 ��K O�R�-#��-�(�d ������'�M�����'#���#��� ���"�F�^U���"�e(�U��-� � . �.-0/ ( ! � �d�����-��,����1U �-#�����E�-]0&'�Pg,7��%�,-���K�M,-��K�)( |� � ( + V

�� |� � + | . 2Tl 9U6DC V�% <

3�����L��][&��Pg,�7��:(�G�*��][&��Pg,�7��d���Vnp�-�"�-#�,������4���GNJ���������1� )�2�u.$,�&TB����3�" ��&/g,7 �-�3��7��d���/np&�#/g,�7 ��� ���fNJ�-�"�����3 � 9 � < �54 � 9 � < C h F�����K�V��� �76 2 . 3 � 9 � <98 V6�:4 � 9 � < ����U ����O �C FJ �� � . 2 ���-��,����1U �Ld�'&�����#��,-�-#$�������E��&� B�.���>B�-#'�� 3 � ��>�������,-�-��(��#��^�" ��&Zg,�7���CI6 �" ��&/g,7��^>'����� | 9 � < �"�-��(�| 9 � <�. ��%� (

! ( +<; 3 � 9�� -0/ ( ! � < l 9U6DC V 7 <1*�����-������#���#��� � ���7;c�K��������#$���A�@,- #����"g,7��o���A,- #$�� ��#� | 9 V <9. 2 . ������K��E][&�� - �T9�� �=5=< (��'����^>B �

- �T9�� � 5=<2. �.%� (! ( � V � 3 � 9�� -0/ ( !�� ( <3 � 9�� -0/ ( ! < � � �4>@9�� { 5=< l 9U6DC V <

6�U��?7��"!�(�L�����'#����'�^,- ��! .>= - �T9�� � 5=< �@? . � ' ( = +� - �T9 � � 5=< � � � l 9U6DC V S <

7

Page 74: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

6 >'��"���������%���4>��"�-����7���>'����� - �T9 � � 5=< ��&���������?=��#��� ���"���K���-O�&���#$���D���-���Pg,�7�%�-#$�����E���Qnp&�#/g,7 �-�*���NJ�-�"����� � � �� 3 � 9 � <2. �� � � � 3 + 9 � < � � 9U6DC V 2 <

����-�� �G]0&��D�MU��?7��_(�L�����'�^>P �

! 9 5=<2. � ' %� �! ( � V � �� -0/ ( !

3 + 9 � -0/ ( ! <3 � 9 � -0/ ( ! < � ���4>@9�� { 5=< l 9U6DC V <&* ������"U �^]0&��^A>'���wR���������"7! . $# { (�#@,� #$���������A,-��K>B �"�������-#$��K�'��U��?�7���C��f��������?-��#������f������#��"g,7 �-�f�'���Gnp&�#Zg,�7 �������FNJ�����"�-� � �� �u.'>B[����� ���d�K��"�������I]0&��.B#�������������6��� � >B�-]0&���#��.

3 + 9 � <3 � 9 � < .� � � V + � (2 � + l=l=l l 9U6DC � 2 <

)Z �W�2��#$���.'#�^�����K�V���6��� !m>B�-]0&���#��.B�MU��?�7��! 8 ' �2 )? � ?Q���4> 9 � { 5 + � ' < 9U6DC ��V <

��>��"�-����#$�2�K�,-��K>B �"�������-#$��E���+)Z�������&��������C h ����F]0&�� !m>B�-]0&��-#�%����>�����,=��][&��� (�F>B�-]0&���#� &j][&����MU[���",- �"���'����:(�F�D&�����EO ����#�����C

FJ ���.�#����������������� � O ����#����d�,� ��>P �W�2�����-#$��������Gnp&�#/g,�7��-�f���FNJ�-�"�����d(�L�'���K>B �3�� 9 � <98 � �' � ,� � � � ��� '� � ' % � � 9U6DC ��� <

^,- ��>P��"�2��K��#0��E�'�EU��?�7��^>'����� !�OVo(�L�'���K>B �! 9 5=< 8 ' ( #{ ? � ?�� �4> ��� { 5 + � ' ��� l 9U6DC � <

3�����F�����K�V����,- �"���-�">P�#����F��&�� ������EO ���#����d &j�E&��%�MU[���",- �"���'����d>P��][&��-#'��C

2

Page 75: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� � ���������� �

� � �� ����� � � ��� �R� � � � � �� � (��� � � � � ��� ��� ���D� �

3�"���o�>\R�-#�����,-�@��>���������#0���m ��,� #�,-������ ���'�����- �"���<���@���������W�=R��#�,-���<�� ���K����-���������^&������� �A#�,=��>8(0 ��&��� �C 3���"�-�j,- #�,��-�V�� �A>B4���-� �"�-�A��#�,- #$����������j��� ����U[�� �*� �����[��m�����"�-�"���"�=R�-#�,����m�����%�q���-�"������� � %�. 7 �uC �� � 8 /,) " �� ����! �*&'��#���*��>�����,=���� �i&��K�Qnp �qg,=���)�6���#�O 6��6�-� �4*���J&��%�6 ���������9s,� ��6�� �"�����6� �'O &����*N6C V < .�D '���"���M�"�*����np����K��C��!&��V�� �J�%����-�"�������-.$,-��KM�K������������.��Bg,-M�*>B�-��������.��=R�����D>��� >��"�����'�����*���U �V�2���E��K�"&'�Knp �"�%�^ �"��O ��#'���\]0&'��#���A��np �qg,=�)(�F���1���������'�4.P,� #$�2��#$��%][&��M�Knp �qg,=�K��>�����,=������#87�&���������>������"�F,��-�W�� �f�����K�V�����-C 3�"���dnp�-#ZR ���-#�_(�L,� # 5 ��,-����K,� �K^�������W����,����'�����C)Z�����Q���J,� # 5 ��,-���3����>��� >��������'�������/���e(���W����,-�������J&�� �K����-�������u.w&�� �� �/� ��>B�-�"�����-#$����/�K���������>P��"�2�#0���-�%(�d��-#�������^���F,- ��>��"�-����7��A9s &j���L�����Pg,�7�� < C ��� ��#�������^����,� ��>��������-7�K,� #������"����-� �"�E,- ��>��"�������Q&��T,� ��>B����E>���eU�A,- �T,=���"O$���L,=��'�%U ��?K�K��������-�6����K������������K>BA�-�]0&��d���d�K�����d�E����np����K�Pg,�7��E����K����-�������uC@66#$���-�f���F��#'�������������� �J��G���-�"&��������� �G���L&�� �-#����������d,- ��>��"�-����7���.'>��"�-,�������K �G�����'#����Q���GU�����e(�qU �-���I����#��-7����L���1np ���K�Pg,�7������>B�-,�(0 �',-��C

����������� �"!$#&%('*),+.-/10,243�5�/ ),6879+ 5:2;21<0 ) 0,=,>@?*3 ) 5 6BA*6 08C&0 +;+ 0D3�5E/ ).6D7*+ > 6 51?GF )IH 5KJ0 + 5:0D39082L5 -/M<0 )D+ 5NFO0QPSR

V

Page 76: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

����������� �"!���%�� >@0,= + 0 6 0SF 51?&21<0 )�� 3�5�� ).+ 6 0 -/,<0 ) R��*= A9+ 0Q? <0 ) 5 2 F�J0D5 6 5 2 /:0�� 09R6����-#���7�� ����E]0&'���\&�� �K����-�������S���"�'(���"&� �����������9(�d�����'#����'�E>B �

� . ����� ���� � ���� % � 9XN�CWV < #���� � (� �Gnp��g,=�G�>�����,=���'�+� % (� ��(����=�G�'�G�"�4g,�7���"���2�I>B�-�">P��#�����,-&������J��Jnp �g,-�fY + C 69����np����K�Pg,�7���-�">P��, (0 ��,=���Q�'�^ '���"���<(�d������#����'�E>B �

� . � ?? � 9XN�C � < #���� � ?H(�d�E����np����K�Pg,�7��^��^�K������������S���d,� �K>��������-#$��E��#���,-����D?GC

6 ��O &�����N6C ���K��"������&��T�"�-�"&���������A�e(0 >���,�����E&��c�-#�����������E,� �K>����-�"�-7���C � �-�� �*]0&��.>'�����M,=���"O$���G��& �',-���-#$�����K��#0����>B�-]0&���#'����.��E���-#���7��9(�L�����"�������K��#$���L>��" >P���,-�� #'���3��E����np����K�Pg,�7���-�">P��, (0 ��,=��C 3�"���M����O �u7��:(�6,� # 5 ��,-���'�D,-��K����-O��u7����-�e(��"����,=��C h �������M�"�-O �X7���.����"�-O &���#$���*�"�-���Pg,�7��(�LUI(��������

� .�� � � 9XN�C! < #���� � (��&��%�:,� #��"����#$���j,=������,����-�-(0 �"����,-�o����K������������J�;(��, 5 ���K���'�:��(���&���:�����a &�#�O��&��(���&���L���Q�������W����,-����������C �*&'��#$��d�K���� �Znp �3���( ��&���L�����a &�#�OF����&�� �%����-�"�����X.��K�����/���-#'�?9s���-#���f�����S(0 U��-� < �����@(��C 6����� P�����^N6C VF��>���������#0���K �f��( ��&��� �I�����a &�#�O^���LUI(�������Q�K����-����������C

h ����L]0&���.�&�����#���%���G�-]0&'�Pg,7 �-�6N6C VF�FN6C �4.'>B4���-�� �G�-�",-���1U ���*�E�-]0&'�Pg,7��KN6C! ^,-��K� . � %

? � ? � 9XN�C&% <� � F 5:?*21<0 ) 3�5�*?9> 390 7 5�� 0Q5�� A 0 -/,<0 )! R#" J5 0S/%$*0 6 0.390'&)(�*,+.-/10 * 0�243�/�576 7�) > 2IJ5 3�5�8 > 390S0 A96 09� ).+,-/:0�? ).+ 6 0��;:02 5 -/,<0 )8+ 51F;08/ ) ?*2 >@3�5 + 0.3909R;� F;51?*2:<0 ) 3�5�8G> 390<:0 A96 0=� ),+.-/10QF;0,?9=,5:?GF 5>:0I2L5 -/M<0 )Q+ 5NFO0 J5 /%$&0 6 0,390?&)(�*,+.-/10A@�B + /C5 D,/ *.&E(FHG.IEJLKNM%OQPRM4SCTVU�W 5 J5E3�5�*?*>@390I/ ),68)

G IEJLKNM%OQPRM4S�TVUYX � > 6Z�[]\_^`=a T` P b) ?*3�5 a T J5 A96 0c� ),+.-/10SF;0,?9=,5:?.F;5>:0D2 5 -/,<0 )8+ 5NF;083�5 J0 + 5 0QPSR)�

Page 77: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ��������� �"!$#&%�� ).6D7 0 + 0 -/M<0 ) 51?GF + 5 ) 2 6 J) 3 A � ) 243�5� ),A ?9=I3�5_84J0 + > ) 2 6 0MF 5 + > 0M> 21R '9) ?GF 5 %� > C*C&5�� 5 + � ����� 5�� A C9>@?0,?*3���0M?�� ) ? � ����� R���������! "�$# � %&�')( # &*' �,+ &�(.-0/214365 ?87�:9<;>=@?8A6=PgBDC 9 6KgBDC � nEADF4FG=IHJADK�LG=#�1� < � 232F C K B F4ADL C ?�AM=INOL�=@FPARQP9<QPL�SARK B 9T= � �U 2&VQ4Q C V 2 U ��,=W?8AD9<F4=XADQPL4F4Y�L4Y8FG=WN:?�AM=INOL�=[Z�Y$=WNO9<?$=I?8A V �U V

����������� �"!]\ %� 0 +;+ 0S2 A C 6 5NF;>@390I0=� ).+,-/:0,243�5_^*5a` <0 ) RZ�Y8AcbAd=XN<AD9e?8A6f CgC �IA 9 ��h � ? <�i Z�Y$=WK8? C �Ji %jAL?kQDl= CXBRC K�QPL�=IK�L4ARQDU

F C H C H C QPLGF4=X=��8;mY8FG=onpU � i Z�Y$=WK8? C =WY�HJADK�LG=WH C Qq= B =WF4;m=o=Ir8N<9 B =W?$=[= CJBDC F4r C ?8AMr�F C�s ==WN�bADHt? C N<9OHJ9uLGA ?8Avr8F C r C F B 9 C K$=WNO9<?$=I?8A i C HJ=ILGADF49T=INgQ C nEF4AvY�Hw=p;WFG=WK8?�Ax?8A�n C F4HJ=zyB l= C Q4ARH{=WY8HoARK �L C K$=6L4ARK8QDl= C U �Q4Q4=MFPAR;m9|l= C ? C ;mF8b= � BDC}B�~ =WHJ= ��Q4AqARQ BRC =WHoARK>L C US�VY$=WK8? C Y8H�HJ=ILGADF49T=IN�ARQ BRC =MARN<AQ C nEFPAxY8H�?8A1n C F4HJ=zyB l= C rzADF4HJ=WK8ADK�L4A i C ZgY�AxQ4A BDC K>LGF4=WrelC Av= C F4AD;m9<HoA�ADN�b=WQaLG9 BRC i C K8?8AxY�HjHJ=IL4ARF49<=WNbA B =Wr$=I�6?�A6FPA B Y8rzADFG=WFqQPY$=^n C F4HJ= C F49O;m9<K$=IN�Q4AdFPADLG9OFG=WFPH C Qv= B =WFP;>=X=Wr8N<9 B =W?8=�U

�H�Y8H�=WK�9<HJ=WN s 9 smC i C Q C QPQ C Q�Kel= C r C ?8ARH�Q C nEF4ADF�ADQ BDC =WHoARK>L C i r C 9<Q Y8H C QPQ C r�ARFPHw=IK8ARK �LGADHJADK�LGA[?8A1n C F4HJ=W? C L4FG=WFP9T=wr8F Cm� NOARHJ=WQVr$=WF4= C =IK89<HJ=WN�U 9 1�=�HJADQ4HJ=%n C F4HJ= i BDC N<Y8K8=WQ�A s 9<;>=WQQRl= C r�F C BPA�L�=W?$=IQvK$= BRC K�QPLGFPYyB l= CoB 9 s 9<N�r$=WF4=}LGF4= � =WN ~ =WF�?�ARK>LGF C ? C F4AR;W9<HoApARN�b=WQPL49 BDC < U�) C FPLG=WK>L C i =r$=WFaLG9<F�?$=WZ�Y89 s =WH C QvARQPLG=WFqN<9O?$=WK8? C =WrzADK$=WQ BRC H�Hw=!LGARFP9T=W9OQ�LGF4= � =WN ~ =WK8? C K C F4AR;W9<HoA�ARN�b=IQPLG9 BRC U

��� � 578=6 � I576 " 5&%(' "� �� � 5�� ��R F C K8QP9<?8ADF4ARH C Q =W; C FG=pY�Hw= � =WF4F4= B 9<N�b0 K8?�F49 B =�QPY � HoADL49<?$=�=6n C F!yB =WQ?8AJ�$A ��l= C6BDC H C ARQaL�b=�9<NOY8QPL4FG=W? CK$= �$;mY8F4=�npU& �U �H�Y8HJ=�Q49uLGY$=�yB l= C�BDC H C ADQPLG= i = � =WF4F4= � B = B Y8F s =W?$= i BRC H C H C QPLGF4=�= �$;mY8F4=npU %8U�F C H C QRl= C =WQwLGADK8QRlC ARQ�?8ADK�L4F C ?$= � =WF4F4=�K8ARQPQG=�Q49uLGY$=�yB l= C�� ) C ?8ARH C Qwr�ARF B A � ADF�ZgY�A CHw=!LGARFP9T=WNz? C NT=W? C ?8Ad?8ADK>LGF C ?$= � =WF4F4=[K$=I�8;mY8FG=onpU %JQPARF8b= BDC HJr�F49<Ho9<? C i ADK8Z�Y$=WK>L CwC HJ=IL4ARF49<=WN? C NT=W? C ?8A^n C FG=�Q4ADF$b=�LGFG= B 9 C K$=W? C U �K>LGF4AoARQPQG=WQM?8Y$=WQ6F4AD;m9�lC ARQ i ~ b=�Y8Hw=�QPY8rzADF"nab0 B 9<AXZ�Y8AJKel= C bAK8ARH�LGFG= B 9 C K$=W?$=[K8ADH BRC Hor8FP9<Ho9<?$=}A�Z�Y8A�bA B�~ =WHJ=W?$=[?8AdQ4Y�rzADF"nab0 B 9<A�K8ADY�LGF4=�U

� =WH C Q�=IK$=WN<9OQG=WF C Z�Y8A C�BDC F4FPA[ARH�Y8Hw=%n"=!LG9T=JrzADZgY�ARK$=�?$= � =WFPFG= i =�Z�Y$=IN_ARQaL�b=�9<NOY8QPL4FG=W?$=K$=��$;mY8F4=on�U 7 U ��QG=WK�? C QPARHoARN ~ =WKyB =o?8A�L4F49aS=IK8;mY8N C Q i r C ?8ARH C QvADQ B FPA s ARF�X�� . � � 9|n�U 7 <

Page 78: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

��������� � ��!���%; 0 + + 0 ^&5 `�> ) ?*0,3*09R

����������� �"!���%�� 6 0 7 5�� A 51?&0c��0�F > 083908C*0 + + 0 68) 2 F + 0.390S?&0 &= A9+ 0 R � RC K8?8A � bA�=p?89OQPL!S=WK B 9<=�? C r C K�L C ARH BDC K8Q49O?8ARF4=zyB l= C ARHjF4ADNT=zyB l= C �=�Q4Y8r�ARFWnab0 B 9OA�K8ADY�LGF4= 9 s ACB4=V= �$;mY8F4=npU <�i bA C F4=W9 C ?8A B Y8F s =!LGY8F4=J?$= � =WF4F4=A9 s AJB4=�=WQ �$;mY8F4=WQpn�U&%JA}npU 7 <�i � bA CJBDC Hor8F49OHJADK�L C ?8=n"=ILG9<=[=WK>LGADQ�?8= � =IF4FG=[QPARFG�$A���9 C K$=W?$=XA �X� bA6=X?�A�n C FPHw=zyB l= C ? C Q4AD;mHJADK>L C ?8A BRC Hor8F49OHJADK>L C � U��QG=WK8? C =WQoARZ�Y$=zyB lC ARQ�npUWV i npU � i npU& A npU 7 i LGADH C Qw=:n C FIyB = Z�Y8A,=ILGY$= K C ARN<ADHJADK>L C ?�AARQPrzADQ4Q4Y�FG= � � ��� . � � � % l 9|n�U <

6�n"=ILG9<= H C QPL4FG=W?$= K$= �$;mY�FG=�npU 7 ADQPL�b=�ADH ADZ�Y89<N�b0 � FP9 C U 1VARQPQG=<n C FPHw= i QG= � ARH C QJZgY�A CL C FPZ�Y8Adr8F C ?8Y8�D9<? C K$=XQ4Y8r�ARFWnab0 B 9<A�?89OF4AR9uL�=@?$=Mn"=IL49T=@r�ARN<=WQqr$=WFPL�b0 B Y8NT=WQ�?$=Mn"=ILG9<=�bA�9O;mY$=WNe= C L C FPZgY�Ar8F C ?8Y8�D9<? C K8ADQ4QG= HJADQ4HJ=�Q4Y8r�ARFWnab0 B 9OA�rzADNT=�r$=WFaLGA�?$= � =WF4F4= Z�Y8A�ARQaL�b=��= ?89OF4AD9OL�= ?8= QPY8rzADF"nab0 B 9<ABRC K�Q49<?�ARFG=I?$=�U &�L C F4Z�Y8A���Z�Y8A}=I;mA�K$=XQ4A�yB l= C F4ADLG=*bA�?8=W? C r C F

� . =��� ����������

� � � � 9|n�U S <

���$�&����� ��!���%�� 5 -/,<0 )D+ 51F;083908C*0 + + 0 6D) 2 F + 0.390Q?*0=*= A9+ 0 R � R %

Page 79: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

����������� �"!���%� 0 +;+ 0D/N>#� J� ?&3 + > /10D2 ) � + 51?*3 ) ^&0 6 C*0,=,5 6 RZ�Y8A i Y8Q4=WK8? C =[ARZ�Y$=zyB l= C n�U i r C ?8A�Q4ADF�FPARARQ B FP9OL CXBDC H C

� . � . � 9|n�U 2 <C K8?8A . . $ � (�� % bA C H C HoARK>L C ?�A�9OK�bARF B 9<=,?$=jb=WF4AR= ?$=�Q4AgyB l= C LGF4=WK8Q s ARFPQG=WN|U��9OK$=WN<HoARK>L4A iY8QG=IK8? C =WQqARZ�Y$=zyB lC ARQ�npU � i npU& i npU 7 A6npU 2�i L4ARH C QqZ�Y8A

�������� �� .

� �. � 9|n�U <C K8?8A ������� � �� bAd=@LGADK8QRl= C ?8A s 9O?$=k�=WQGn C FIyB =WQq?8AL�$A��zl= C U

��� � � � < >�� � 57<� =WH C Q=I; C FG=qA���r8NO9 B =WF C Z�Y8AobAa��=WH � =I;mARH�A B =WN B Y8N<=WF)= B =IF4;>= B FRb0 LG9 B =qr$=WFG=�Y8HJ= � =IF4FG=f��=WH � =WFRUF C K8QP9<?8ADF4ARH C Q Y8HJ= � =WF4F4=�Q4Y � HoADL49<?$=%�= BRC HJr8FPARQPQRl= C r8Y8F4= BDC H C ADQPL�b=d9<NOY8QPL4FG=W? C K$=,�$;mY8F4=MnpU VmU��A[= � =WF4F4=Kn C FpADQ � ARNuL�= i Y8Hw=�n C FIyB =wQ4Y)� B 9<ADK>LGARHoARK>L4A[;mFG=WK�?8A B =IY8QG=�Y8H ?8ADQ4N CgB =IHJADK�L C NT=!LGARF4=WNK$= � =IF4FG= BRC H C ADQPL�b=V9ON<Y8QaLGF4=W? C K$= �$;mY�FG=VnpU S (�U QPQ4AInEADK.SC HoARK C bA BRC K ~ A B 9<? CVBDC H C ��=WH � =W;mARH�U9�1VA s AI� B =WF B NT=WF C r$=WFG= C N<AD9OL C F�=�?�9�nEARFPARKyB =�ADK>LGF4AE�$A �zl= C AE��=WH � =W;mADH U h =��$A �zl= C i = � =WF4F4=Q4A B Y8F s = ?8A s 9O? C =on C FIyB =WQJr�ARFPrzADK8?89 B Y8N<=WF4ADQw= C AR9 � C ?$= � =WF4F4= i BDC H C H C QPLGF4= = �$;mY8F4= npU& iARK8Z�Y$=IK�L C K$=���=WH � =W;mADH�= � =WF4F4=}Q4A B Y8F s =}?�A s 9<? C =Fn C FIyB =WQx= C N C K8; C ? C AD9A� C ?$= � =WF4F4= i BDC H CH C QPLGF4=WH�=IQ �8;mY8FG=IQ�n�UWVdA6npU S < U

6 rzADF4;mY8K>LG=VZgY�AvZgY�ARF4ADH C Q_F4ADQ4r C K8?8ADF[bA�=VQ4AD;mY89<K>L4A ')?$=W?$=�=pQP9OL4Y$=zyB l= C H C QPLGF4=W?$=pK8= �$;mY8F4=npU S i Z�Y$=WNMbA C HkbC ?8Y8N C ?$=%n C F!yB = � Z�Y8A[Z�Y8A � FG=�= � =WFPFG= � &�L C FPZgY�A[ZgY�AX=W;mA[K C r C K>L C ) ?8=�$;mY8F4=XnpU S bA

� . �� � 9|npU V 2 <

C K8?8A � bAp=@=WNuLGY8F4=}?$= � =IF4FG=MK C r C K�L C � ARH F4ADNT=zyB l= C �=}r C Q49ayB l= C 9<K89 B 9T=IN$?$= � =WFPFG=�9 s AJB4=[= �$;mY8F4=npU S < U F C H C�C L C F4Z�Y8A ?$=W? C r�ARN<=qADZ�Y$=zyB l= C npU V 2 bA =WK�Y8NT=W? C r�ARN C L C FPZ�Y8A�?�A s 9<? C �=vLGADK8QRl= C 9<K>L4ARF4K8=?$= � =WF4F4=(9"?$=W? C r�ARN<=[ARZ�Y$=zyB l= C n�U 2 <�i r C ?8ADH C Qv9<;mY$=INT=WFv=IQvARZ�Y$=zyB lC ARQpnpU 2 A6npU V 2 i � B =WK8? CJBDC H�� . � . � 9|npU V3V <

C Y�Q4ACB4= i V . ��

� . l 9|npU V�� <P B �@51> F ),+ J5 0./ ) ?*2L5��Q$&0,3 ) 0 ) C*2 5 + 8�0 + 5:2LF 5 � 51?��),6 51? )8A 2;0M?&3 )8A96 0 + J5:= A 0 ^*5 ` J� 8,5��$R 7

Page 80: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

&j9OK s ARFPQ C ? C F4=W9 C ?�A B Y8F s =IL4Y8FG=(9 V�� � < r C ?8A�Q4ADF�ADQ B FP9OL CoBDC H C � S �V . �)( � ( � � (� V +O9 � � ( � � < ( � -0/ ( l 9|npU V <

��A BDC K8QP9<?8ADFG=WFPH C Q@=WrzADK$=WQ[?8A1n C F4HJ=zyB lC ARQ@r�ARZ�Y8ADK$=WQ i = ?8ADF49 s =W?8= � � ( � � QPARF$b=�r�ARZ�Y8ADK$=�Ar C ?8ADF4ARH C Q[=IQ4Q49OH ?�ARQ4r�F4AR�R=WF[Q4ADY s =IN C F6ARH BRC Hor$=WF4=zyB l= C,BRC H VmU 6pQPQ49OH LGADH C Q}Z�Y8A V�( .9 �)( � ( � � ( < Adr C FPLG=WK>L C �)( �� � (�� � �� . � l 9|npU V�% <& Q49OK$=WN$K8AD;>=ILG9 smC bA�?�A s 9<? C �= B Y8F s =6Q4ARF B SC K B = s =�UI6 Q C NOYyB l= C ?$=6ARZ�Y$=zyB l= C npU V�%cbA�QP9<Hor8N<ADQ4HoARK>LGA

� . }���� � � �� . � + / ( � � � 9|npU V 7 <� �� . � + / ( ? . � ' � � . lVl�l � � � � V � 2 � V � � lVlVl 9|npU V <

1�=7�$;mY8F4=}npU i r C ?8ADH C Q s ARF�Z�Y8A CMBDC Hor8F49OHJADK�L C ?�A C K�?$= 9�� < ?$= B Y8F s =cbA � ?vU ��= � ADH C QZ�Y8A�K$=�nEY8K.yB l= C�}���� 9 � � <�i C@s =WN C F ?8A � bA � ' (�:U�� C ; C =}ARZ�Y$=zyB l= C npU V 7 bAp?8=Dn C F4HJ= }���� 9 ' � ( ? < U) C FaL�=WK>L C i � . V6A � B =WH C Q BRC H � �� . � + / ( ? . ' � 9|npU V S <A6=WQ4QP9<H i C H bC ?�Y8N C ?$=Mn C F!yB = � K8A B ARQPQ$b=WFP9 C r$=WF4=o= BDC K)�$;mY�FG=zyB l= C H C QaLGFG=I?$=[K$= �$;mY8F4=JnpU S bA

� . ' ( � .? ( l 9|npU V 2 <�Q4QG=^n C FIyB =�bA BDC K ~ A B 9O?$= BDC H C[B =WFP;>= B FRb0 LG9 B = C Y B =WFP;>=[?8A �Y8N<ADFRU& 9OK�L4ARFPARQ4Q4=WK>LGA�Q Cm� F4AwARQ4QPA�F4ADQ4Y8NuL�=W? C bAwZ�Y8A i r$=WFG= rzADZgY�ARK C Q[?�ARQ4N C�B =WHoARK>L C Q i =!n C F!yB = bA9<K8?�ARr�ARK8?8ADK>LGAp? C ?�ARQ4N C�B =WHoARK>L C �WU�&VF4= i Q4A BRC H�ADQ4Q4=Fn C F!yB =VLGADH C Q =dQ49uLGY$=zyB l= C ?8AqARZ�Y89ON�b0 � F49 C ?8=�$;mY8F4=@npU S i Y8Hw=dn C FIyB =MHoARK C F�? C ZgY�AVARQPQG=@Kel= C bApQPY)� B 9OARK>LGApr$=WFG=6ARK B Y8F s =WFx= � =WFPFG= i ARK�ZgY8=WK>L CY8HJ=!n C FIyB = HJ=W9 C Fd�8A���9 C K8=WF49<=,=W9OK8?$=,HJ=W9<Q6= � =WF4F4=�U�)=IFG= �$K�Q@r8F$b=!LG9 BDC Q i BRC K8QP9<?8ADFG= ��Q4A�Z�Y8A�=B =WFP;>= B FRb0 LG9 B = 9EARZ�Y$=zyB l= C n�UWV 23< bAd=En C F!yB =[Z�Y8AdZgY�A � F4=w= � =WFPFG=[r C FI��=WH � =I;mARH�U

Page 81: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� � ���������� �

� � � ������������ � � � � � � � � � �

�QPLGAM=WreSADK8?89 B A�bAdY8Hw=�� C K�L4AdF$b=Wr89O?$=[r$=WF4=o=[9O?8ARK>LG9A� B =�yB l= C ? C Q C QPQ C QqADQPLGY�?$=W? C Q�K CoB =Wreb0 LGY�N C �U&VQ C Q4Q C QqARQPL4Y8?$=W? C Q�QDl= CXC Q B�~ =WHJ=W? C Q������������� ������ i Z�Y8AdQRl= CoC QvHw=W9 C F4ADQ C QPQ C Qq? C QvHoARH � F C Q?89T=IK�L4AR9OF C A�LGF4=WQ4AD9<F C U

� �� #$ 9< 578 � � �R/I� )I� "� 968 96�6 6 "� 96 < � < :��� 5*) 966 �$;mY�FG=�FpU V[H C QPLGF4= C ADQ4Z�Y8ARNOADL C ?�A@Y8H ;>=IL C A[= �$;mY�FG=�FpU � C ARQPZ�Y8ARNOADL C ?8A}Y8H B = s =IN C U 6K C HoARK B NT=IL4Y8FG=o? C Q C Q4Q C QpADQPLGY�?$=W? C QpK C�B =Ir:b0 L4Y8N C JADQPL�b=J?$=W?$= i F4ADQ4r�A B LG9 s =WHoARK>L4A i K8=WQ�LG= � ADNT=WQFpUWV6ARFpU �gU&VQ C QPQ C QdHJ=W9<QVr�F$bC ��9<H C QV? C�BDC F4r C ? C =WK89OHw=WN 9 C � SARH}Y8F�A C bY�HJADF C < QDl= C�B�~ =WHJ=W? C Q�?�A��������������������� ����U�&�Q C Q4Q C Q�HJ=W9OQ�?89OQPLG=WK>LGARQ*9|=dL�b0 � 9T= i =!� b0 � Y8N<= i C F$b=I?89 C AV=MY�N<K$= < QRl= C}B�~ =WHJ=W? C Q?8A"��������$#%���'&)(%����U

* C Q�Hw=IH,b0 �EARF C QJADH ;mARF4=WN i =+�ab0 � Y8NT= A =�Y�N<K$=�QDl= C H@Y89OL C r�ARZ�Y8ARK8=WQ i ?�A,� C F4HJ= Z�Y8A =Q4Y8QaLGADK�LG=zyB l= C Q4Ad?qb=Xr8FP9<K B 9<r$=WNOHJADK>LGAVr�ARN<=}L�b0 � 9T=@AdrzADN C bY8HoARF C FPARQPrzA B LG9 s =WHJADK>LGAWU

S

Page 82: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ���z�R�$���"!$#&% B 2;2 ) 2 5 2 F A 390.3 ) 24? ) /:0 7 J� F A � ) R 5E2L5 A 2 + 5 2 7 5:/NF >#8 ) 24? JA96 5 +;) 2 ?*0c*= A9+ 0 � R#",R����� & � ')&�� � �� � & ���!� � �g "� &�aSARH@Y�F 6 C Q4Q C V3VL�b0 � 9T= 6 C Q4Q C V �ab0 � Y�NT= 6 C Q4Q C V��HJA�L�=ILG=WF4Q C 6 C Q4Q C V 7����� & � ')&�� � �� � & ' E� - ���g E� &bY8HoARF C 6 C Q4Q C 7F$b=W?�9 C 6 C Q4Q C Y8N<K8= 6 C Q4Q C SM� 0 6 C4J5 6 /%$&0 6 0,390 7 5 + �) ?95 ) R

���$�&�������"!�#�% Q 2 � A 5�� 51F ) 395 A96 =.0�F ) R B 2 ? ),6 5 2 3 ) 2 ) 2;2 ) 2 5 2 F A 390,3 ) 2 ? ) /10 7 J� F A � ) R 5:2LF:<0 ) ?*0"F;0MC�5�� 0 � RQ".R'*) ?GF 5 % � ��/N5 6 � 0./� I5�� 5:?*2L>@?9= � ���G� R

2

Page 83: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� �������$���"!L� % B 2 2 ) 2 5 2 F A 390,3 ) 24? ) /10 7 J� F A � ) R 5 2 A 0 + 5:2 7 5 / F >#8�08? A96 5 + 0 -/M<0 ) ?*0c&= A9+ 0 � R���R����� & � ')& � � � � � & ��� � � �� E� &�aSARH@Y8F 6 C Q4Q C V 2L�b0 � 9T= 6 C Q4Q C ��V�ab0 � Y8N<= 6 C Q4Q C � HJA�L�=ILG=WF4Q C 6 C Q4Q C � 7����� & � ')& � � � � � & ' "� - ���g "� &bY�HJADF C 6 C Q4Q C %F$b=W?89 C 6 C Q4Q C Y8N<K$= 6 C Q4Q C SHJA�L�= B =WF4r C 6 C Q4Q C V��M 0 6 C4J5 6 /%$*0 6 0,3*0 7 5 + �) ?95 ) R

���$�&����� �"!���% Q 2 � A 5�� 51F ) 3�5 A96 /10R8�0�� ) R B 24? ).6 5:2 3 ) 2 ) 2;2 ) 2 5:2LF A 3*0,3 ) 24? ) /10 7 J� F A � ) R 5 2 F <0 ) ?*0DFO0MC�5�� 0 � R �9R'*) ?GF 5 %�� 5NFLFE� � ���G� R

Page 84: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ��� #$ 9< 578 � � �R/I� )I� "� 968 96�6 "�� 68�&%9576&VQ C Q4Q C Qq?$=WQq= s ADQ�L�SARH K C HJADQvY8H r C Y BDC ?89 �EADF4ARK>L4ARQq? C Q C QPQ C Qv? C QqHw=WH b0 �EADF C QDU 6 �$;WY8FG= FpU& H C QPLGF4= C ARQPZ�Y8ARNOADL C ?8A�Y8Hw=6= s A�Ap=�L�= � ADNT=RFpU! � C F4K�A B Ap=6K C HJADK B N<=ILGY�FG=�? C Q C Q4Q C Q ARQPL4Y8?$=W? C QK$=XQ4A�yB l= C �U S U

� ���z�R�$���"!]\ % B 2;2 ) 2 395�0R8,5:2 5 2 F A 390,3 ) 2 ? ) /10 7 J� F A � ) R 5�2 A 0 + 5:2 7 5 / F >#8�0D? A*6 5 + 0 -/M<0 ) ?*0=*= A9+ 0 � R R R����� & � '0&�� � � � � & ��� � � �g E� &�aSARH@Y8F 6 C Q4Q C �VL�b0 � 9 C LG=WF4Q C 6 C Q4Q C �V�ab0 � Y8N<= 6 C Q4Q C 2L�=WFPQ C HoADLG=IL�=WFPQ C 6 C Q4Q C ����� & � '0&�� � � � � &�' "� - ���g "� &bY�HJADF C 6 C Q4Q C F$b=W?89 C 6 C Q4Q C V 2Y8N<K$= 6 C Q4Q C V V

���$�&����� � !]\ % Q 2 � A 5��@5NF ) 3�5 A96 0S0R8.5,R;� ? ).6 5:/�� 0�F A9+ 0�3 ) 2 ) 2;2 ) 2 5 2 F A 390,3 ) 2 ?*0S2 5 -/,<0 ) R R�� 5 2 F�J0�?*0�F;0,C&5��@0 � R R R'*) ?GF 5 % � ��/N5 6 � 0./� I5�� 5:?*2L>@?9= � ���G� R

S 2

Page 85: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ������������ �

� ������ ��� � � ����� ��� ��� ������� � ���

� � � 6����9< 578=6 < ����6 � :�$�!�#"��96$ LG= � ARNT= 1@U&% � C FPK8A B A�=WQM=WNuLGY8F4=WQdAw=WQMHw=IQ4QG=IQM?8A'% 2 BRC FPF4AR? C F4ADQ}? C Q(%*)+)-, FG=IQ C Q i = r�F C�s =Hw=I9<QxF8b=Wr89<?8=X? C =!LGN<A�LG9OQ4H C U * C LGAdZ�Y8AdL C ? C Q C Q�=IL4N<ADLG=WQxL�SADH�HJ=WQ4Q4=WQqARK>LGFPA S )XA 2/.102 U� ���������43 !$#&% � � F A9+ 0.245 6 0.2 2;0,243�5 84J0 + > ) 2 / ),+;+ 5 3 ),+ 5:2 79+;) &2;2L> ) ?&0M> 2 390 79+;) 8�0S3 ) 2 "657598 + 0.2 ) 21R '9) ?.F;5 %;:<>=? 2 /1@A@CBED B ( 5GFC6 $GFLF 7�%IHJHLKMKMK R A 2 0MF � R ),+ = H 0�F $,� 51F 5:2 H C*> ) 21R

$ LGNOADLG= =WNOL4Y8FG=-NO,'P HJ=WQ4Q4=QN 02 Pn�ADF4K$=WFP? 9ON<NO9T=WK8Q %mU 2+R 2 %n�FP9T=WK��:AJSq9OQ %mU S R S �T Cm� � � 9ON<NOARF %mU S 7 2/.T�Y8FaLG9<Q � CW~ K8Q C K %mU 2 ) 2 )1VARK�K89<Q"� 9uL B�~ ADN<N %mU S 7 S )�N C �g?�f�AR=WF4? %mU S 2 S U�ARK>LGF���n�FG=I?8N<A�� %mU 2+R S�S�m=WV �=IF4F4ADK�f CgC �WADF %mU S 2 S � Cm~ KQTx=Wr�ARN %mU 2 ) 2 �� C K 1VF4Y�HJH C K8? %mU S 7 S RX ARK�n�F C �WADK � Y8F4F %mU S 2 S X A s 9<K-�:9OLPLGNOA %mU 2+R S R�,=WY�F49 B A�UdFPARADK8A %mU S 7 S � 9 B�~ =WARN � CW~ K8Q C K %mU 2 7 S � ~ =#SqKET�FG=#S � C FP? %mU 2 ) S 7� ARF4FPARK B A � FG=IHJHoARNON %mU 2 2 S � 9<H fp=WFP?8ARK %mU S 2 2 �� 9<H � C K>LG; C HJADF � %mU S 2 S )� bAD?89T= %mU S S�SMZY 5 390��#$*0 3�5 ),A9+;) ?&0 ) � > 687 J� 0,390 3�5 � � 39?95a� F �[5J575 W 5 0MF A 01�+ 5:/ ).+ 39>@2LF;0 6SA ?*39>@01�$R

S %

Page 86: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� � � � 6 < ��� � � �98!��6 � � 6$ L�= � ARN<=L1@U �d=Wr8F4ADQ4ADK�LG=}=WQ�=WNuLGY8F4=WQ�Ap=IQ HJ=WQPQG=WQ ?8A S HJ=WF4=IL C K�9<QPLG=WQRU & � Q4ADF s A�Z�Y8A i ARH�H bAR?89<= iC Q�HJ=WFG=IL C K89OQPL�=IQQRl= C Hw=W9OQ � =W9�� C Q_A i r�F49<K B 9<r8=WN<HoARK>LGA i HJ=W9<QN<A s ARQ�Z�Y8A C Q BDC F4FPAR? C FPARQ�? C Q %*)+) ,FG=WQ C QRU

� ���������'3 !���% �Y� F A9+ 0,2S5 6 0,2;2;0,2�3�5 84J0 + > ) 2E/ ),+;+ 5:3 ).+ 5 2 79+ ) &2;2L> ) ?*0,>@2E3*0 6 0 + 0�F ) ?*0*R '*) ?GF 5 %(:W<*=�? 2 / @ @ BD B ( 5GFC6 $.F F 7 % H7H KMKMK R A 2 0MF � R ),+ = H 0MF $ �@5NF;5:2 H C9> ) 2:R$ LGNOADLG= =WNOL4Y8FG=-NO,'P HJ=WQ4Q4='N 02 P$ N �EF4AD? C�� 9O;mY8AR9OFG=WQ %WU 7 7 1�= s 9<?�H C F4FP9<Q %WU S R %�WARFPF ���0=#SqQ C K %WU 2+R X AR9uL ~ n�F4=WK>LGN � %WU S 2 .X ~ =WNO9<?�� ~ =WK�K C Y B�~ 9 %WU 7 7 S).A�LGADF�?�A6N<=(T�ARF4?8= %WU S 2 S � C ? 1VA ~ = s ARK %WU S R 7 � bAD?89T= %WU S . .M � F A 0�� + 5:/ ),+ 3�> 2 FO0 6QA ?*3�> 0�� R

S �

Page 87: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ��� �! ��!��'�����

� %��&�Sq9 � L ��U�� ����� (����' �$#������ � ���'�� � �+) FP9<K B A ).U �U N % S P��' �����'&�������� ��� i R FP? AD?89OL49 C K i � Cm~ K 9<NOA ��� � C K8Q i * A7S � C F ��U� R �&� B�~ Ho9<?�L�� * 9OARNOQ4ARK X U N % 2/. P���� (% �� ���������� � �!� ��� (%"� �$#%�����&�'� � ��� &)(% &(' i Tx=WH � FP9<?8;mA��K89 s ARFPQ49uL ��)�F4ARQPQRU� . � $ N<A ��=WK8?8ADF �6U@� B * U'N % 2 7 P*)��+� � ( �����&��� , ���-����.� �/�'� &0� #*1(� (% ��� (% � i � C Y�F4K$=WN C �2 ��r�ARFP9<HoARK>L�=WNen�9 C N C ; �43�3/5 i � R %6��� R 2 U

� 7 � ADQPL�UXU npU i n�F C SqK���U f6U.=IK8? 2 K8Z�Y89<QaL@n�U ��U;N % S P!� ���' 7�'� (% � ��#��'8, ��� &9�+� ��� � �%�� �0,(%�������'& � �:� ��� (% �� �� (�; �!�� <1��)���� ��� i � B 9OARK B A>=@?8A i %����B�L%�� �U

� � ADQPL�UXU npU i n�F C SqK ��U f6U)=WK8? 2 K�ZgY�9<QPL@npU��U;N % +P�� ���' 7�'� (% � ��#��'8, ��� &9�+� �'& �C���'&D� �-�(% �#"(%�������'& �C�"�0, �� (% &E��(����F� (%� �F���'&0�'��� i * =IL4Y8F4A!GIH�H i . � S U

� S �Mnx=WK$= s =WF ��U �dU i �,=WFP9OLG=WK $ Uw=WK8? �q9<K$=IN<? C $ U�N % �P i � �$#%� (% �#J, ��� � �� K�9LM�'�:�' && � (% � � ��� & (%& �)�� 7�'&D; ���-N�� i * =IL4Y8F4APO�Q�Q i % R )%�L% R ��U

� 2 �PRVF4A �WARF-&@U N��/)+) %>P� �������'& � �:� ��� (% �� �� (% �#J���' & � (% ���%� �-��� �F� �'&S�'��� i ) ~ �gQ49 B =WN �qA s 9OAJST A�L4L4ARF4QVU@? i =WFPLRU8K C U ) R 2 %*) %WU

� � ��Y � 9<K TpU � U.=WK8? T =WK)� C K T U 2 U N % 2/. PXW�� �(%� �:�Y� & � (%�� Z� ��� �� (%� ��&D� �� \[I�'� &0�(1�� (%&S���]$(% � &0�'� �(%& � ���"& �^� �������'& � �:�_ ��� 1�` �� 7����� (% �� �� iEa C Y8F4K$=IN C � � ~ A C F4A�LG9 B =WNxn�9 C N C ; �Z3bH7? iR �W%6� R �dc�U

� %#) � � B �,= ~8C K � U $ U N %�e�c R PV� �$#%�$(% �# �8� ('�+���� 4` �)���� ��� i � B 9<ADK B A 3f?8Q i %��/) %6�L%��/) . U� %/%�� � B �,= ~8C K � U $ U N %�edc 7 Pg� �������'& �C��(% �#41��)��������� (% �:��(�� ��� 1�1'�� 7�� �� ( #��� &h� ����� (%&0�� i� ~ A $ HoARF49 B =WK * =ILGY8F4=WN<9OQPL!3bHIQ i 7 . c�� 7�i R U� %2� � $ N<A ��=WK8?8ADF5�dU � B * U N %je�cdc+Pk� �������'& �F� �0,!&9�+�$ ��� 1'� �0,�(% &0�'���+��lm` �%��� # (��Sn iIa C Y8F4K8=WN C �

o C�C N C ; �p3�U�O i %2� 7 � % . i U� % R � $ N<A ��=WK8?8ADF �6U@� B * U i�a = �mARQ $ U ��U i �,=WN C 9 � UXU@� Urq@U�=WK�?��=IL ~ Y�L�= 2 U@� UMN %�e�c�e�Ps� �������'& �C�

�0, & �+�� ��� 1>1'�� 7����0, � (%� � (% �t, � ��� �����-�F; �Yl:� ���-� �6n & ���'u� �+� (% &vlm_ ��� ��#��� &)(Fn i8a C Y�F4K$=WNC � o CgC N C ; �p3�UIQ i R ) 7 � R % . U

c R

Page 88: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� % . �Mn�9<A7S�ADK8ARF $ U $ U�N %�e 2+R P4� �������'& �F� �0,��(� ( #%�C���+� # (%�������� ��& �)�� �� & �+� ��� (% �� �� �0, #���&m�,�(��'& �����>1'�� 7� �F���F��(%&D����� (% �# ��� 1 ���'�:�' &)(%& �)�� & � 1'��#�� �'�$#%� i a C Y8FPK$=WN C � 2 ��r�ARFP9<HoARK>L�=WNn�9 C N C ; �p3bHI5 i % . cB� %�cW%mU

� % 7 �&�gLGADY8?8ARN X U N %je 2/. Pt_ ��� 1h` �� 7� � �������'& �C���� �� � ��� (%&S��(�E� )I��'& �0, & �+�� (��'& �:� � ��� �� (%� ��&m� ��#��' i $ HJADF49 B =WK a C Y8FPK$=WN C ��� ~ �gQ49 B =WN $ K>L ~ F C r C N C ; � A�5 i R � R � R � 2 U

� % i � � F C L ~ ARF C R@U �dUg=WK8? ��ADF4ADK C �.U TpUMN %�e 2 �/Ps� �������'& �C� (% �# � (%u���������� ��� �0, ��� #%� (% �)�����' 7�#�;�(%�9, ������ �����'� ������t, ���� )I� � (��Y��� ,�� ��(��'& (%�� (%�� i �.=WN<A Cm� 9 C N C ; ��U i % i � R )�U

� %�c �Mn C Y a U i Tx=IQ49<K C Q $ U�=WK8?*q B =�lK$= a U�N %�e 2 c+Pp� �������'& �C� �0, & �+� _ ��� 1 _ �� �� ` �� 7�� �0,�' �����'& � �%�������(% �#�� ��#��' & � iIa C Y8F4K$=IN C � � C F4r ~8C N C ; ��3�Q�= i %+% R �L%�� R U

� % 2 �&��ARN �WARF ��U)=WK8?�Tx=WFPL4ARFXR@U �dU N %�e 2 e�PX��� (% �� �� �0, &9�+�Y_ �� ��p` �� 7��� � (��'&D�����Y� & �-�' ��%&9� ; ��& �� ��� (% (��� iIa C Y8F4K8=WN C �n�9 C HoA B�~ =WK89 B Qv=�= i %+%Bc 7 �L%+% 2+R U

� %je �Mn�ARFaLGFG=IH a U 2 U $ U�=WK�?wn�9OAJS�ARK8ADF $ U $ U N %�e�e)�+P � �������'& �F��(% �# �F���F��(%&D����� �� & �+� ��� ��>1'�� 7���0,��(� ( #%�C���+� # (% � (%� � (% � i+a C Y8F4K$=IN C � o CgC N C ; ��=I=�A i . 7 7 � . i c�U

� � ) � � C N � a UrR@U i RVADHJADQpnpU i a Y�K8;mARFPQ5�U T U i n�9 ��K8A s 9 B 9<Y�Q $ U �dU i f�AD9<K8FP9 B�~ �dU 2 Uz=WK8? �qY8K8ADQPLG=W?a U $ U N��/)+)+)+P �*���� � (%� ������ �0, ��� ��� (%&0��� � (%�' � �%��� (% (% �# � ��#��' & ��� 1V1'�� 7�k�'� ������)�����'& �)�� �(%�����+�'� & �:��(� (%�-� ��� ��� (%&0��!�-� (%� �Y�� ���(���/' iIa C Y�F4K$=WN C �_f�Y8HJ=WK 2 sWC N<Y�L49 C K^O�Q i ��e�c�� R � 7 U

� �%�� 2 BDC K C H C Q $ U TpU N %�e 2/R PV_ (��'& �:� (% �#�� ���V������'& � �:��� ��� �� (%�'��&D� �� (%� � (% � (% 4W>��'� �% ' ia C Y8F4K8=WN C � � ~ A C F4ADL49 B =WN0n�9 C N C ; �43bHIO i % i cB�L%Bc���U

� � � �Mn�ARFaLGFG=IH a U 2 U $ U�=WK�? n�9<AJS�ARK�ARF $ U $ U N %�ede+)�PvW � � �'���' & � (%@��� (% �� �� �0, &9�+��_ �� ��Y` �� 7����� &9�+�&)I�'� ����'& � � (%���(%� � �%��� ( (% �#�� & �+�'� (%� � (% � i�a C Y8FPK$=WN C �4� C F4r ~�C N C ; �Y=+H+G i % 7 cB� % i e�U

� � R � T ~ F49OQPLG9<=WK8QPARK��.U N %�e�ede�Pg��� (% �� �� �0,!� (%� � (% � (% ��� �� 1'�� 7��(� �'� (%� (% �# (%� ���!� (%� � (% ����� � (%��� # i8a C Y8FPK$=WN C � o C�C N C ; ��=8G�? i R+R+R � R/. 2 U

� � . � T ~ F49OQPLG9<=WK8QPARK��)U N %�ede�e�Pg��� (% �� �� �0,$& �+�!_ ��� 1X_ �� ��` �� 7��!& �` ��#�� (��� �� )I�'� ����'& � � (% (%� � (% � i8a C Y8F4K8=WN C � � C F4r ~8C N C ; � =�O�Q i % i cB�L%�e+)�U

� � 7 � �,=WN C 9 �1U[U � Urq@U i $ NOA ��=WK8?8ADF �6U@� B * U i * � =WY �dU�=WK8? a = �mADQ $ U ��UMN %je�c�e�Ps� �������'& �C�"�0, & �+�u�)��� �0, �C� �� �� 1���� #�� i�a C Y8F4K$=IN C � o CgC N C ; �p3�U7? i % i %6� % i c�U

� � i � $ N<A ��=WK8?8ADF �6U@� B * U i�a = �mARQ $ U ��U i �,=WN C 9 � UXU@� Urq@U�=WK�?��=IL ~ Y�L�= 2 U@� UMN %�e 2 %>Ps� �������'& �C��0, &9�+�!u�)� �&� ���'u�� �0, � (%� � (% � i8a C Y8FPK$=WN C � o C�C N C ; �43�Q8G i 7 R e%� 7 7 ��U

� ��c � Tx=WQPL49<ARNONT= � U a U�=WK�? Tx=IQ49<K C Q $ U N %�ede+)�Pt� �������'& �C� �0, &9�+� u�)�$�&� ���'u�� �� "�� �����'& � �%���-�� (% �#���#��' &�� i $ K8K$=WNOARQq?8ARQ:� B 9<ADK B ADQ * =ILGY8FPARNON<ARQ0� o CgC N C ;m9<AqADL�n�9 C N C ;m9<A $ K89OHw=WNOA>3�3 i % i 7 �L%Bc 2 U

� � 2 �PRVF4Y8�D9<K8Q �@� �6U 2 U'N %�ede R P*)��+� & ����� (%�������'& �C� �0, � (%� � (% � (% ���+�F; �� �� � �%���'���' &��(����+�F; �� ��E, �-�!�(���' 7�F� ��� (%u��v; ��&9��1'��#��!� (��� �� � (%� � (% � iba C Y�F4K$=WN C � � ~ A C F4A�LG9 B =WN�n�9 C N C ; �3/A+H i . ��cB� .+. )�U

c .

Page 89: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� � e � � C NON CgB ��TpU@� U =WK8? � ~ =W?WSq9 B � �dU 2 U N %�ede . P&� �������'& �C� �0, �&� ���'u����&S�' �#��� � (% �# �' (��'& �:��' 7�'�)��� �)�'& ��� (������ ('� (��'��&m���� � (%� � (% � i $ HJADF49 B =WK a C Y8FPK$=WN C �� ~ �gQ49 C N C ; � =�AIA i ��%#))���B���%*) R %mU

� R ) �Mf C �@�!=WK8ADK a U 2 U � U N %�e 2 i P��!��&S�� � �� 7���'� �� ���� (��'& �:��� ��� �� (%� ��&D� i@a C Y8FPK$=WN C � � ~ A C FPADLG9 B =WNn�9 C N C ; �p3�=+H i . ede%� 7 ) %mU� R %�� � F4=WK8;mA�f6UrR@U i $ K8?8ADF4Q C K a U ��U =WK8? ��= ~ K fMU N %�e�c�e�PY��� (% �� �� �0, ��N��'u�'&)(% � (���"& � 1'��#��

� (������ <1���� #���(% �# � (%� � (% � i $ HJADF49 B =WK * =!LGY8F4=WN<9OQPL�3�3�O i %*) R �L%�����U� R � � $ N<A ��=WK8?8ADF �dU � B * U N %�e 2+R P � �������'& �C���0, & �+� u�)�X1'�� 7�� �0, � ��(�� lmW��� ��� ��&9�+��Sn (% �# ��& �+�'�

1���� #�� i+a C Y8F4K8=WN C � o C�C N C ; ��=+H�H i �% 7 ��� R %mU� R/R �Xq�NOH C Q � U i Tx=WQP9<K C Q $ U�=WK8? T�Y ��C a U N %�ede i P�_ ��� 1,(%�������'& �C�+�� 1���� #�� i $ K�K$=WN<ADQ�?8ADQ� B 9OARK B ARQ * =IL4Y8F4ADN<NOARQ�� o C�C N C ;m9OA�A�L�n�9 C N C ;m9OA $ K89<HJ=WN<A>38? i R e%� . e�U� R . �Mn�ARK8K�ADL4L � U npU N %�ede i Pk� �������'& �C� �0,!& �+�$u�)� �&� ���'u�� �0,X1���� #�� i7a C Y8F4K$=IN C � o CgC N C ; � =�O�U i.�R 7 � .+.�R U� R 7 � U6=IL4ARQ�� ��U � U N %jede %>P�� �� �#�_ ��� 1X��� (% �� ��"�� �` ��� #�� (% �# � & �+�'�^)��+�'� �� ��#��(�v�'� �� �:� (%& �)�� �

, ����)@�'� �-��'& � � (%@_ ������ ��& �)�� i�a C Y8FPK$=WN C �E� C FPr ~8C N C ; ��=�HIQ i��+R �Se i U� R i � ��A���K C N<?8Q �U �U�=WK8? X =WF4N C LGQ �g9 �U a U N %�e�cdc+Pt� �������'& � �:� �-�' (%& �)�� ����� � �0, ��N��'u�'& �� ; �'� �%��&

& � 1'��#�� �S; �'� �%��& �� .)@�'u����'&� ���+���� � ���' ��� �� �(%�C�4���� � (%� ������ ; ��&9� 1���� #�� (% �# � (%� � (% � iT C rzAD9T= 3 i % i )B� % i R U

� R c �Mn�ARFPF49 C Q�� T C r�AR�K� U i T A7Sq9<Q $ U �dUe=WK8? f�ARK8QPN<A ��R@U $ U N %jede i P���� (% �� �� �0,X�8N��'u�'&)(% (��� & �` ��#�� (���!�� �� �����+�� i�a C Y8FPK$=WN C � � C FPr ~8C N C ; � =I=@? i�� cB�Se)��U

� R� � T A B N<=W9<F �dU i T =IH C K>LG=W;mK8A TpU=IK8? $ Y � 9<K $ U;N %�ede R P!� �������'& �C� �0, & �+� ��N��'u�'&)(% � (��� �� (% +� � (% ,(%� �+���D1�� (% � i Tx=WK$=W?89<=WK a C Y8FPK$=WN C � o C�C N C ; � ?73 i R 7 �B� R 7 c�U

� R e � U6=WFPNT=WK�? � U a FRU;N %je �+R P4)��+� �-�' (%& �)�� Z1F�'&D; ���' � ( ��� (% �C� �� �� � �+��� # (% �#�1'��#���� (��� �� &0�'� �-��'& � � (% � (%� � (% � i8a C Y8F4K8=WN C � o C�C N C ; �43�Q�Q i % 7 cB� %�c/)�U

� . ) � $ N<A ��=WK8?8ADF �6U@� B * U i T =WK8;mHJ=WK � U $ Ue=WK�? a =2�WARQ $ U �zU N %�edcdc+P i � (��'& ������� ��& �)�� +�0,��������� , � �:� (% �� ���� (%&S�� iIa C Y8FPK$=WN C � o CgC N C ; �43�U�O i ��e %6� R )+)�U

� . %��Mf�AR;WN<Y8K8? * U TpU�=IK8? � = �gN C FZTpU �dU N %�e �� P ���+��� # � �'& �'� #��g, �-�!�(���' 7�F� (% �# �' 7�'� ��� ����'& �+�'��'& � � #��(� � �%; #���& �+�F�Y��� (% ����k; ��& �1'��#�� �'�$#%� (% �# � (%��&6' i�a C Y8FPK$=WN C � 2 ��rzADF49OHJADK�LG=WN$n�9 C N C ; �3/O�U i R )W%6� R % � U

� . � � U6=IL4ARQ�����U � U�=WK8?�n�9<A7S�ADK8ARF $ U $ U N %�ede %*P ` � �+� # (%�������� ��& �)�� I�g� � ���'& �!�0, � �+��� # � �'�$#%� (% �# ��� 1 � ���'&m���-�!�� <1���� #���(% �#Y����� (% � i�a C Y8FPK$=WN C � o C�C N C ; ��=�=8G i %��dcB�L% . c�U

� .+R � � = �gN C F TpU �6U i f�AR;WN<Y8K8? * U TpU�=WK8? � =WN C 9 �'U[U � Urq@U N %�e � �+P � 7�'�)���'& �:�� (% �# ������� (% �:�� �0,&0�'� �-��'& � � (%�������� ��& �)�� ���� �'& (�1'�� �:���' 7�'� ������ �F� ��& �)�� (���(h,C� 7�'& �)�� ,�0, � �+��� # (% �#1'��#���'�$#%���� <1���� #���(% �# � (%� � (% � i+a C Y8F4K$=IN C � 2 ��r�ARF49OHJADK>L�=WN:n�9 C N C ; ��Q7? i %6�0�W%mU

c 7

Page 90: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� ./. � � = �gN C F TpU �dU i � =WN C 9 � UXU@� Urq[U i AR9 � ARN 2 U �dU i T =WK8;WHw=WK � U $ U i X =WHJ=WY a U@� U o U i �gARA ~ F4HJ=WKfMU a Ux=WK8? f�AR;mNOY8K8? * U TpU N %�e � %*P W>��'� �% �0, & �+� � (%� � (% � (% ���� ����� (%& ���C� �F� �'&S�'� �V� � � ���� (% �� �� � ( �����&� � (��'� ��1��:� � ('� (��'��&m� & � 1'��#�� � (���(� ; �� # (% �# #�������'& �:� � (%� � (% � i��ADQ4r89OFG=IL49 C K � ~ �gQ49 C N C ; ��G�G i � 7 � R cgU

� . 7 � � C HoA T U TpU N %jede)�+PV��� (% �� �� �0,!�&� ���'u� �s1������(% �#"������� ��& �)�� iIa C Y8FPK$=WN C � 2 ��r�ARFP9<HoARK>L�=WNn�9 C N C ; �p3�A�U i � .�R ��� 7 ��U� . i �<� C Y8K8; � U �zU i =WFPF4ARK �dU R@U,=WK�? $ NOL4F49O; ~ =WH a U R@U�N %�ede)�/P � ����� ��� ��+�'� & �:�� �0, & �+�

� (%� � (% � (% ������� ��& ���F� (% �# �-�� ����� (%& ���C� �F���'&S�'��� �� �-�' (%& �)�� & � 1'��#�� � (��� iha C Y�F4K$=WNC � 2 ��r�ARF49OHJADK>L�=WN:n�9 C N C ; �43/A8G i � �+R ����e . U

� . c �Mn�9<A7S�ADK8ARF $ U $ U;N %�e � e�PP��� (% �� ���1'��#�� �F� � � ��� & �� � (%� � (% �(�&_ ��� 1!� ���'&D�����"(% �# �&� ���'u�������� (% �:�� i � B 9<ARK B AP=8G75 i . 7 � . � U

� . � �Mf C ��LER@U ��U i 9 B ��NOARF9�zU a U�=WK8?1T C ;W;mARF 2 U $ U N��/)+)+)�P!) ����� �0, ��� & (��'& (% �#��'&S� � u�' ��%& �f� & �+�� � ���'& �0,� ��� 1 u�' ��%&9�$�C� �� �� � �+��� # � ���( #X� (%� �C���� ��!(% �# �� 7�' �� 7� i�a C Y8FPK$=WN C � 2 ��r�ARFP9<HoARK>L�=WNn�9 C N C ; ��=+HIO i � �W%6��� �dc�U

� . e �Mn�9<A7S�ADK8ARF $ U $ U N %�ede+)�P ` �)��������� (% �:����0, � (%� � (% � (% &0�'� �-��'& �'� (% ������� ��& �)�� i � B 9OARK B A=I5+H i %*)�e�cB� %/%*) R U

� 7 ) � $ N<A ��=WK8?8ADF �6U@� B * U =WK8? a = �WARQ $ U �zU N %�e �+R PP� #�� �(%� �:� �'��� �� (%� ��&m�p����+� ��&S��'��� , ���"& �+�� (%��& � �0, �(� ( #%�C� �+� # (% � (%� � (% � i+a C Y8FPK$=WN C � o CgC N C ; ��=+H"3 i % R 7 �L% 7 ��U

� 7 %�� ��=IF4N<A���TpU � U N %�e�e�c+P ( �����&� � � �+��� # (% �# ������� (% �:� (%�� �%; �'� �%� & �I��& �� �$#�(%� #�� i�a C Y�F4K$=WNC � 2 ��r�ARF49OHJADK>L�=WN:n�9 C N C ; ��=�H�H i �W% � e%���W%je 7 U

� 7 � �PR � =*Sq?8=WK � U[=WK�? Ud=WFPNT=WK8? � U a FDU'N %�e �� P ( ����� (% �C�� �� �� � �+��� #�� �0, 1�� �+� # (% (% �#�(� ( #%�C���+� # (% � ��#��' & � i�a C Y8F4K$=IN C �E� =WHJHJ=WN C ; ��A�Q i c i 7 ��c�c���U

� 7 R � �.ARK�K@� B Y89 B �1TpU a U N %�edc 7 P � & �+� �C� �� �� �0, &9�+� �% +�pl ��� ����� (��'&0�� & (���� �� +� �Sn�(% �# ��& �+�'�(% ��� (% � i+a C Y8FPK$=WN C � 2 ��rzADF49<HoARK>LG=WN:n�9 C N C ; � A�O i cdc 7 �0c�ede�U

� 7 . � 9 B ��N<ADF �zU a U i f C ��LYR@U ��U i T C ;m;mARF 2 U $ U_=WK8?�f�9<FPQ B�~�� AR9<K � U f6U N.� )+)+)�P � ���9,j�'� �-� #�� �+��� #(% �# ����'& �0, & � (% � � ��� &:� & �+� � � ���'& �0, �� 7�' �� 7� isa C Y8FPK$=WN C � 2 ��r�ARFP9<HoARK>L�=INqn�9 C N C ; � =+HIO i�W%�e 7 �0���/)+)�U

� 7 7 � ��AD?$= � � U $ U i f�AD;mN<Y8K�? * U TpUq=IK8? � = �gN C F-TpU �dU�N %�e � �+P � 7�'� ���'& �:��,(% �# ������� (% �:�� �0,&0�'� �-��'& � � (% ������� ��& �)�� �� ��� � �� 7�'& �:�P�' 7�'� ������� (% �������0, & �+�� ��� 1'� (% �#�1'��#�� (��!(k,C� 7�'& �)�� �0,$� �+��� # (% �#41'��#��"�'�$#%� �� 1���� #�� (% �# � (%� � (% � i�a C Y8F4K8=WN C � 2 ��rzADF49OHJADK�LG=WN�n�9 C N C ; �pQ@? i� R � . )�U

� 7 i �Mf�AR;WN<Y8K8? * U TpU i Tx= s =W;mK$=EUXU $ U0=IK8? � = �gN C F4TpU �6U9N %je � �+P�� 7�'� ���'& �:�� (% �# ������� (% �:��"�0,&0�'� �-��'& � � (% ������� ��& �)�� &� � � � � 7�'� ���&��� (% ����� �0, & �+�����' & �-� �0, � (��� (�� (E,C�� 7�'& �)�� �0, � �+��� #(% �#�1'��#�� �'�$#%� �� <1���� #���(% �# � (%� � (% � i+a C Y�F4K$=WN C � 2 ��rzADF49OHJADK�LG=WN:n�9 C N C ; � Q@? i . %6� 7�i U

c i

Page 91: Universidade Federal de Minas Gerais · s [5,$6 5 po 7 9q 5,+ 1 5 +,$ ro #%-.s # 7./ 2 7 8 !#" $&%('!*),+ 7%+,& 54& 5,-'-#%& / $6 +,-9t a & 5, "-s 9-5

� 7 c �Mf�AR;WN<Y8K8? * U TpU i �$AD?$= � � U $ U i � = �gN C F TpU �6U=WK8? Tx= s =W;mK$=�UXU $ U9N %je � �+P � 7�'�)���'& �:��"(% �#������� (% �:�� �0,�&0�'� �-��'& �'� (% ������� ��& �)�� ��f[ � ) ��&)(% ������� (% �:� (%/�' 7�'� ������� (% ����� (�� ( ,C� 7�'& �)�� �0,$� �+��� # (% �#41'��#��"�'�$#%� �� 1���� #�� (% �# � (%� � (% � i�a C Y8F4K8=WN C � 2 ��rzADF49OHJADK�LG=WN�n�9 C N C ; �pQ@? i7 cB� i�i U

� 7 � � X F4=WH �6U:=IK8? � = �gN C F�TpU �dU N %�e�e+)�P � 7�'� ���'& �:�� �0, �C� �� ���� (� 7�F; �+�'� � �+���'& � ��� i * =!LGY8FPAO+G@A i � i 7 ��� i c�U

� 7 e � � Cm� ARFaLGQ � U a U i X F4=WH �6U i A �>=IK8? �)U U[Ue=IK8? � = �gN C F TpU �dU N %jede � P � 7�'� ���'& �:�� �0,&1�� �+� # (%�F�� �� ��&��� �'&)(�1'�� �:�&����'& �0, ���' 7�'� (%& �� ��k, ������� iIa C Y8F4K$=IN C � 2 ��rzADF49<HoARK>LG=WN0n�9 C N C ; ��=+H"3 i�dc . 7 �0�dc 7 %WU

� i ) � T =IK8?$=WY T UrR@U!=WK8? T 9 �EQ ~ 9OLG� 2 U@� U N %�e � c+P �� ��� # ����� (% �:�� i �IK8?}AD?89OL49 C K i �)ARFP;>=WH C K ��F4ADQ4Q iq ��� C FP?eU

� i %�� C HoARFPQ4NOA � a U �dU N %�e 7 7 P �'& � ��#E, ��� & �+� � (%u�F�� (%& �)�� �0,����'����'��&D� � � (%&S� �0,�� �%; (% �#���������%� �#%� (����� (%� &0�'� �:���;t�+�' & �+� ���-���F� �-� �%� ( #%�:�' & ����N� �%; ida C Y8F4K8=WN C � � ~ �gQ49 C N C ; ��3�=@? i 7 7 R �7�i R U

� i � � a = B ��Q C K a U R@U N %�edc 7 P � (���'�:� (% � u���'& � ��#��� �(%� �:�� i �IK8?[AD?89OL49 C K i�a Cm~ K$ 9<NOA �X� � C K8Q i * AJS� C F ��U

� i R �Mn�Y�L � C�s 2 U N %�e � � P � �� �'�:� ( (%&0�'� �(%& �:� ( i 2 ?89uL C F4=1U�Y$=WK8= � =WF4= i �q9 C ?8A a =WK8AD9<F C U� i . �Mf�9 ��� ADN<ARF1�dU TpU N.�/)+)/)�P��k��'���'&���' 7�'� (!#���� (%&S�'� � (%��� i T 9 s F C Q � bA B K89 BRC Q_A T�9<ARK>L�b��� BDC Q 2 ?89uL C F4=�zU $ UOU� i 7 � ��A��gK8Hw=IK �6U �.U i T AD9<; ~ L C K �dU npU}=WK8? ��=WK8?8QB� U�N %je i . P )��+� � �F�� � (% \_"���'&D� �-�� ��

�E�����'�:�� i sWC N<Y8HoA � � i B =Wr:b� LGY8N C R � U� i�i � ��Y � 9<K TpU � U�=WK8? T =IK@� C K T U 2 U N %je � �+Ps_ ��� 1 ������� (% �:�� (���( ,C�� 7�'& �)�� �0, � �+��� # (% �#�� (%��&:�

( �'&m� #�� �0,!,C�� 7�'& �)�� �(% �'& � (%�� � �� & �+� � ( #%� � � (% �# & �D1�� ( �0, � ������ (% �# #�� � iha C Y8F4K8=WN C �2 ��r�ARFP9<HoARK>L�=WNen�9 C N C ; �43bH 3 i % � cB���W%/%mU

� i c �&��9<HoH C K8Q N %�e � c+P � �(%u�F���������KV������'& � � (&� �(%�� & �:� ( i smC NOY8HJA � i rqb=W;m9OK$=WQ ��e/)%����e���U� i � �PR5� B A X U@� U i ��= B � �Urq@U�=WK8? ADK8Q49OK8; TpU a U UXU N %�ede i P )@� ��&:1'����N"�0,����'&S�'� �� �(%�F� (% �(%& ���&� i�U npU ��=WY8K8?8ADF4Q BRC HJr$=IK@�WU� i e � UdA�L4L � �dU(N %�e�c 7 P � ������� (% �#\ � ����'� (% � � )��+� (% �(%& ���&� �0, & �+� #�������'& �:� (% ��� (% � i

� C N<Y8HoA�% i �U npU ��=WY8K8?8ADF4Q BRC Hor$=WK)�WU

cdc