The document contains a significant amount of unintelligible text and symbols, making it difficult to extract meaningful information. It repeatedly mentions a university and includes fragments that seem to reference equations or data analysis. Overall, the content lacks coherence and clarity.

1. !"#"$%&'()*"+
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2. 1 !"#"$%&'()*"+
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3. 1 !"#"$%&'()*"+
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4. 1 !"#"$%&'()*"+
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5. !"#$%"&&'()&)$*+,-$$)#./
= <#,>;+$"?#7
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= 7"%>;"@3>#7
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6. !"#$%"&&'()&)$*+,-$$)#./
= <#,>;+$"?#7
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= 7"%>;"@3>#7
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7. !"#$%"&&'()&)$*+,-$$)#./
= <#,>;+$"?#7 !
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8. !"#$%"&&'()&)$*+,-$$)#./
= <#,>;+$"?#7 !
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= 7"%>;"@3>#7
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! 7#<#,>;+$"?#7&A@3"$7B>"*#&<((;7",+>"(,C
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9. !"#$%"&&'()&)$*+,-$$)#./
= <#,>;+$"?#7 !
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= 7"%>;"@3>#7
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! 7#<#,>;+$"?#7&A@3"$7B>"*#&<((;7",+>"(,C
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10. 0-1-#$%'&)2-3+!"#$%"&&'()&)$*
= D"8#,&+&0"&1)#"2E">)&3-&%0
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>)+>&>)#&<(*G(%">"(,&"%&#-53'%).("
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9

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= D"8#,&+&0"&1)#"2E">)&3-&%0
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>)+>&>)#&<(*G(%">"(,&"%&#-53'%).("
[ P1 , P2 ] [ P3 , P4 ] [ P1 , P4 ]
"&%#;8"<#%&+;#&<((;7",+>#7&+>&@3"$7B>"*#
9

12. 0-1-#$%'&)2-3+!"#$%"&&'()&)$*
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= E#&%#+;<)&F(;&%43("02(F&0"&1)#"02A(,#&F(;&#+<)&G(;>C&%3<)&
>)+>&>)#&<(*G(%">"(,&"%&#-53'%).("
[ P1 , P2 ] [ P3 , P4 ] [ P1 , P4 ]
"&%#;8"<#%&+;#&<((;7",+>#7&+>&@3"$7B>"*#
9

13. 455&)1'$)"#+67+43'5$-%/
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6 %&'$07-&5'%)-$2&4("0&K&#-$%&-(("&2L&'+'3%"&
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14. 455&)1'$)"#+67+43'5$-%/
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6 %&'$07-&5'%)-$2&4("0&K&#-$%&-(("&2L&'+'3%"&
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15. 455&)1'$)"#+67+43'5$-%/
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6 %&'$07-&5'%)-$2&4("0&K&#-$%&-(("&2L&'+'3%"&
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16. 455&)1'$)"#+67+43'5$-%/
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6 %&'$07-&5'%)-$2&4("0&K&#-$%&-(("&2L&'+'3%"&
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17. 455&)1'$)"#+67+43'5$-%/
= D(+$I&O,7&+7+G>+@$#&%#;8"<#%&F(;&+&D"8#,&0"&1)#"
= >)#;#&+;#&>E(&P(G#,P&G(;>%I
= E">)&7#<#,>;+$"?#7&<(,>;($$+@"$">MJ&E#&O,7&>3G$#%&(F&
<(,>;($$#;%&+,7&G;(8"7#;&%#;8"<#%
N
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18. 455&)1'$)"#+67+43'5$-%/
= D(+$I&O,7&+7+G>+@$#&%#;8"<#%&F(;&+&D"8#,&0"&1)#"
= >)#;#&+;#&>E(&P(G#,P&G(;>%I
R T
= E">)&7#<#,>;+$"?#7&<(,>;($$+@"$">MJ&E#&O,7&>3G$#%&(F&
<(,>;($$#;%&+,7&G;(8"7#;&%#;8"<#%
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19. 455&)1'$)"#+67+43'5$-%/
= D(+$I&O,7&+7+G>+@$#&%#;8"<#%&F(;&+&D"8#,&0"&1)#"
= >)#;#&+;#&>E(&P(G#,P&G(;>%I
R T
N

20. 455&)1'$)"#+67+43'5$-%/
= D(+$I&O,7&+7+G>+@$#&%#;8"<#%&F(;&+&D"8#,&0"&1)#"
= >)#;#&+;#&>E(&P(G#,P&G(;>%I
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<(,>;($$#;%&+,7&G;(8"7#;&%#;8"<#%
[ C1 , P1 ] [ C2 , P2 ]
N

21. 455&)1'$)"#+67+43'5$-%/
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= >)#;#&+;#&>E(&P(G#,P&G(;>%I
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= E">)&7#<#,>;+$"?#7&<(,>;($$+@"$">MJ&E#&O,7&>3G$#%&(F&
<(,>;($$#;%&+,7&G;(8"7#;&%#;8"<#%
[ C1 , P1 ] [ C2 , P2 ]
N
"&P<$(%3;#P&(G#;+>(;&F(;&%#;8"<#&;#G(%">(;"#%

22. 455&)1'$)"#+87+!9"%-".%'59*+:-'&)2'()&)$*
= D"8#,I&#,7G(",>%&+,7&+,&)$%"&'#%)-$23&-%-#-(
E1 E2 E3
= R#+$"?+@"$">MI&1+,&>)"%&",>#;+<>"(,&G;(>(<($&@#&
"*G$#*#,>#7&@M&0"&1)#"0S
= +$$(E%&F(;&<(,>;+<>B@MB7#%"D,&%<#,+;"(% Q

23. 455&)1'$)"#+87+!9"%-".%'59*+:-'&)2'()&)$*
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E1 E2 E3
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"*G$#*#,>#7&@M&0"&1)#"0S
S1 S2 S3
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24. 455&)1'$)"#+87+!9"%-".%'59*+:-'&)2'()&)$*
= +%%3*#&+&*(,">(;&>)+>&$(D%&>)#&",>#;+<>"(,%
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25. 455&)1'$)"#+87+!9"%-".%'59*+:-'&)2'()&)$*
= +%%3*#&+&*(,">(;&>)+>&$(D%&>)#&",>#;+<>"(,%
E1 E2 E3
M
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E1 E2 E3
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M
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27. 4&."%)$9;
= (@%#;8+>"(,I&<(*G(%">"(,&(F&7#<#,>;+$"?#7&<(,>;($$#;%&"%&+&
<#,>;+$"?#7&<(,>;($$#;
U

28. 4&."%)$9;
= (@%#;8+>"(,I&<(*G(%">"(,&(F&7#<#,>;+$"?#7&<(,>;($$#;%&"%&+&
<#,>;+$"?#7&<(,>;($$#;
= +$D(;">)*I
VW %>+;>&E">)&*(%>BG#;*"%%"8#&<#,>;+$"?#7&<(,>;($$#;
4W ;#*(8#&P3,B7#<#,>;+$"?+@$#P&G+;>%
9W G;(X#<>&;#%3$>&>(&G(;>%
U

29. 4&."%)$9;
= (@%#;8+>"(,I&<(*G(%">"(,&(F&7#<#,>;+$"?#7&<(,>;($$#;%&"%&+&
<#,>;+$"?#7&<(,>;($$#;
= +$D(;">)*I
VW %>+;>&E">)&*(%>BG#;*"%%"8#&<#,>;+$"?#7&<(,>;($$#;
4W ;#*(8#&P3,B7#<#,>;+$"?+@$#P&G+;>%
9W G;(X#<>&;#%3$>&>(&G(;>%
= E(;Y%&F(;&+<M<$"<&%#;8"<#%&Z&>#;*",+>"(,&,(>&D3+;+,>##7&",&
F(;&<M<$"<&%#;8"<#%
U

30. <=';5&-+6
= ",&+&G#;F#<>&E(;$7J&E#&X3%>&,##7&>(&G;(X#<>&>)#
<#,>;+$"?#7&<(,>;($$#;
A
B
!
6

31. <=';5&-+6
= ",&+&G#;F#<>&E(;$7J&E#&X3%>&,##7&>(&G;(X#<>&>)#
<#,>;+$"?#7&<(,>;($$#;
A
!A !B
B !B !A
! centralized controller
6

32. <=';5&-+6
= ",&+&G#;F#<>&E(;$7J&E#&X3%>&,##7&>(&G;(X#<>&>)#
<#,>;+$"?#7&<(,>;($$#;
!A !B
projections
A
!A !B
B !B !A
! centralized controller
6

33. <=';5&-+6
= ",&+&G#;F#<>&E(;$7J&E#&X3%>&,##7&>(&G;(X#<>&>)#
<#,>;+$"?#7&<(,>;($$#;
!A !B
projections
A
!A !B
B !B !A
!A !B
! centralized controller
!B !A
composition of
the projections 6

34. <=';5&-+6
= ",&+&G#;F#<>&E(;$7J&E#&X3%>&,##7&>(&G;(X#<>&>)#
<#,>;+$"?#7&<(,>;($$#;
!A !B
projections
A
!A !B
B !B !A
!A !B
! centralized controller
!B !A
composition of
!
the projections 6

35. <=';5&-
= [&@3>&>)#&E(;$7&"%&,(>&+$E+M%&G#;F#<>
A B
!
V5

36. <=';5&-
= [&@3>&>)#&E(;$7&"%&,(>&+$E+M%&G#;F#<>
A B !A !B
! centralized controller
V5

37. <=';5&-
= [&@3>&>)#&E(;$7&"%&,(>&+$E+M%&G#;F#<>
A B !A !B !A !B
! centralized controller projections
V5

38. <=';5&-
= [&@3>&>)#&E(;$7&"%&,(>&+$E+M%&G#;F#<>
A B !A !B !A !B
! centralized controller projections
!A !B
!B !A
composition of projections
V5

39. <=';5&-
= [&@3>&>)#&E(;$7&"%&,(>&+$E+M%&G#;F#<>
A B !A !B !A !B
! centralized controller projections
!A !B
!B !A
#
composition of projections
V5

40. 0-5-#3-#1*+67+<#'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&"$'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A
B
!
VV

41. 0-5-#3-#1*+67+<#'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&"$'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A
B
!
= ;"D)>&G+;>,#;&<+,,(>&Y,(E&E)#,&>(&%#,7&8 VV

42. 0-5-#3-#1*+67+<#'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&"$'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A
?A
B !B
!
centralized controller
= ;"D)>&G+;>,#;&<+,,(>&Y,(E&E)#,&>(&%#,7&8 VV

43. 0-5-#3-#1*+67+<#'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&"$'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A
?A
B !B
! #
centralized controller
= ;"D)>&G+;>,#;&<+,,(>&Y,(E&E)#,&>(&%#,7&8 VV

44. 0-5-#3-#1*+67+<#'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&"$'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A
?A
#
B !B
! #
centralized controller
= ;"D)>&G+;>,#;&<+,,(>&Y,(E&E)#,&>(&%#,7&8 VV

45. 0-5-#3-#1*+67+<#'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&"$'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A #
?A
#
B !B
! #
centralized controller
= ;"D)>&G+;>,#;&<+,,(>&Y,(E&E)#,&>(&%#,7&8 VV

46. 0-5-#3-#1*+87+0)/'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&+)0'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A B
!
V4

47. 0-5-#3-#1*+87+0)/'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&+)0'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A B
!
= G+;>,#;%&,##7&>(&@#&<((;7",+>#7 V4

48. 0-5-#3-#1*+87+0)/'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&+)0'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A B !A !B
!
centralized controller
= G+;>,#;%&,##7&>(&@#&<((;7",+>#7 V4

49. 0-5-#3-#1*+87+0)/'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&+)0'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
A B !A !B
! #
centralized controller
= G+;>,#;%&,##7&>(&@#&<((;7",+>#7 V4

50. 0-5-#3-#1*+87+0)/'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&+)0'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
!A
A B !A !B
! #
centralized controller
= G+;>,#;%&,##7&>(&@#&<((;7",+>#7 V4

51. 0-5-#3-#1*+87+0)/'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&+)0'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
!A
A B !A !B
!
centralized controller
= G+;>,#;%&,##7&>(&@#&<((;7",+>#7 V4

52. 0-5-#3-#1*+87+0)/'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&+)0'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
!A
A B !A !B
! #
centralized controller
= G+;>,#;%&,##7&>(&@#&<((;7",+>#7 V4

53. 0-5-#3-#1*+87+0)/'(&)#.
= +,&+<>"(,&(F&(,#&G(;>&*3%>&,(>&+)0'.("2+,&+<>"(,&(F&
+,(>)#;&G(;>
!A
A B !A !B
! #
centralized controller
!B
= G+;>,#;%&,##7&>(&@#&<((;7",+>#7 V4

54. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
C
!
V9

55. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
C
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

56. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
B A C
C A
C
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

57. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
B A C
$ $C
not equivalent A
C
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

58. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
B A C
$ $C
not equivalent A
C #
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

59. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
B A C
#
$ $C
not equivalent A
C #
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

60. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
B A C
#
$ $C
not equivalent A
C # #
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

61. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
B A C
#
$ $C #
not equivalent A
C # #
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

62. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
A
# C
B
# #
$ $C
not equivalent A
C # #
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

63. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
A
# C
B
## #
$ $C
not equivalent A
C # #
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

64. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
A B
A B
# A# C
B
## #
$ $C A
not equivalent
C # #
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

65. 0-5-#3-#1*+>7+?"#@-AB)C'&-#1-
= %>+>#%&;#+<)+@$#&@M&982+,7&892*3%>&@#&#23"8+$#,>
#
A B
A B
# A# C
B
## #
$ $C A
not equivalent
C # #
centralized controller
!
= >)#&(;7#;&(F&9&+,7&82<+,,(>&@#&(@%#;8#7&@M&>)#&G+;>,#;% V9

66. D%"(&-;/+E)$9+!*1&)1+,-%C)1-/
= ",&<M<$#%J&7#$#>"(,&*"D)>&
,(>&@#&+,&(G>"(,
A disables B
B disables A
A B
VH

67. D%"(&-;/+E)$9+!*1&)1+,-%C)1-/
= ",&<M<$#%J&7#$#>"(,&*"D)>&
,(>&@#&+,&(G>"(,
= 7#<"%"(,%&)+8#&>(&@#&
<((;7",+>#7&+D+",&+,7&
+D+",
A disables B
B disables A
A B
VH

68. D%"(&-;/+E)$9+!*1&)1+,-%C)1-/
= ",&<M<$#%J&7#$#>"(,&*"D)>&
,(>&@#&+,&(G>"(,
= 7#<"%"(,%&)+8#&>(&@#&
<((;7",+>#7&+D+",&+,7&
+D+",
"&B+;<%
A disables B
B disables A
A B χ χ
A B
VH

69. D%"(&-;/+E)$9+!*1&)1+,-%C)1-/
= ",&<M<$#%J&7#$#>"(,&*"D)>& = %>+>#%&*+M&)+8#&*(;#&
,(>&@#&+,&(G>"(, >)+,&(,#&G;#7#<#%%(;
= 7#<"%"(,%&)+8#&>(&@#&
<((;7",+>#7&+D+",&+,7&
+D+", A enables C
B disables A
"&B+;<%
A disables B A B
B disables A
A B χ χ B C
A B
VH

70. D%"(&-;/+E)$9+!*1&)1+,-%C)1-/
= ",&<M<$#%J&7#$#>"(,&*"D)>& = %>+>#%&*+M&)+8#&*(;#&
,(>&@#&+,&(G>"(, >)+,&(,#&G;#7#<#%%(;
= 7#<"%"(,%&)+8#&>(&@#& "&%G$">]<(GM&%>+>#%&@#F(;#&
<((;7",+>#7&+D+",&+,7& &>+Y",D&+,&+<>"(,
+D+", A enables C
B disables A
"&B+;<%
A disables B A B
B disables A
A B χ χ B C
A B
VH

71. D%"(&-;/+E)$9+!*1&)1+,-%C)1-/
= ",&<M<$#%J&7#$#>"(,&*"D)>& = %>+>#%&*+M&)+8#&*(;#&
,(>&@#&+,&(G>"(, >)+,&(,#&G;#7#<#%%(;
= 7#<"%"(,%&)+8#&>(&@#& "&%G$">]<(GM&%>+>#%&@#F(;#&
<((;7",+>#7&+D+",&+,7& &>+Y",D&+,&+<>"(,
+D+", A enables C
B disables A
"&B+;<%
A B χ χ
A disables B
B disables A
A B χ χ B C A B
B
A B B C
VH

72. F%'5+B5
= 7"%>;"@3>#7&<(,>;($$+@"$">M&)+%&,"<#&+GG$"<+>"(,%I
! +7+G>+@"$">M
! ;#+$"?+@"$">M&(F&<)(;#(D;+G)"#%
= @3"$7B>"*#&<((;7",+>"(,&*+Y#%&E(;$7&<(*G$"<+>#7
= <3;;#,>&+$D(;">)*&*+M&,(>&>#;*",+>#
VN

73. F%'5+B5
= 7"%>;"@3>#7&<(,>;($$+@"$">M&)+%&,"<#&+GG$"<+>"(,%I
! +7+G>+@"$">M
! ;#+$"?+@"$">M&(F&<)(;#(D;+G)"#%
= @3"$7B>"*#&<((;7",+>"(,&*+Y#%&E(;$7&<(*G$"<+>#7
= <3;;#,>&+$D(;">)*&*+M&,(>&>#;*",+>#
Thank you!
Any questions?
VN