SLIDE 1
&(" $%&)# * &)# '!+% ,+%
01 02#3441 0"105'"1065'"10'"106'"106"1 0"105'"1065'"10'"106'"106"1 0"105'"1065'"10'"106'"106"1 0('106('1 0(106(1 0621 02#3441 0""106""1 0"105'"1065'"10'"1 !06'"106"1 0('1"#$%06('1 0(1&'06(1 0621 061
6626"65'"
7 05'"1065'"1 05'"18.065'"1 05'"19"065'"1 05'"1#065'"1
:"'
7 .'#5.'""5: . $2.$6626"65'"(" 7 #;;(<<3=0 :1>:∈6( ?
"'"'
7 "'( 7 !"''&('' '':(3@A BC$"B⊆ A××A $.$D.":'">$>A×A
7 >ε> 7 @ EC∈ B⇒ >>E 7 >$>E.E>$E>4⇒ >$F$E>4
⊆D.":'"
7 >>E⇔ >$>E5':$∈
&( .":'"
7 >>E⇔ >@C>G
H$&( ''$
SLIDE 2
424F4;>"<"4
7 =2F"" 2F"?
2F@">""C
7 =2F"" 2F"?
4FD4F""
7 =2F"" "F"" :F"" /?FF=IF""?
2F5'DF""
7 =2F"" 2F5'F"" 2F5'F5'F"" /?
@4FD4CDF:
7 =: IF: IFIF: IFIFIF: /?
3ε >"">F>>;><>D 3ε >>I>F >> >D "'
7 J3>ε 7 K3FD ( (E36(>(6(E>&'."'" ."'" 3D>">"&"@C>:"@DC> :"@"C>"""@DC>/ &'3.>(">.**' >**' >.'.">'" >5$>(. >5$*'>(.*' (6."'" 3(6.."'" (66) 3(6.**'D6) FF3(".@C
"'52'
L.6626""
"'52'#:
L.662;66'"6"&"@C3E:E<6"" 2 "" '" : 2 "" " 2 "" "
2;"<6"" 26"6FF6"" "6FF626"" (("''"#:&('' ""$'
SLIDE 3 M8N.B&(''@C"'" 5.'5 HB8B,."@C5"':.' " BB,8'"@C"8'"@C
'"' !"&(''':.#"M8N '
85,OO"F #('5 !","''5' P,!Q+RF
5LL.662 LL6" $L6S#1T+++ "01L6"" L061
5LL.662
" L3L6" $L6S#1T+++ "01L6"" L061
5LL.662
$L6S#1T+++ "01L6"" L6"061
"'52'#:
5L&L.662 $L&6"'6'"6"&"@C3E:E "L&6""
:'
L.662;'"6"&"@C3E:E<6"" "L"'3L.6626" 5L.'""@L"'C "02'#"1L 5LL.662 $L' L6" "L6"" 062'#"1 M:
7 01 7 @021@0"106"1CD 7 0621CD 7 061 7 @02'#"1 7 0"1/06"1 7 @0""1/06""1CD 7 062'#"1CD
SLIDE 4
; "L"'3L.6626" 5L.'""@L"'C "2'#"; L 5LL.662 $L' L6" "L6"" < <
#(
;2'#";";"< "";"<D<D<
P5
L.; 2; "";"< ";"<D <D <
#'".U'". "'V FF"'$"5&..(" P"'"(."#.(# '"."'
7 ""'
P"'"'(
7 2: 5"'
5@C31 5@";&<C31";5@&C< 5@;&<C3153#"+';5@&C< 5@+C31+ 5@& #C315@&C 5@#C
5""' 5# 5@";&< #C31"';";5@&C< @#C< @#C @";&<C31";5@&C< @'C@;&<C31+ @";&<C31+ @'C@;&<C31;5@&C< P:("5@;&< #C315@;&<C 5@#CW5@;&<C31;5@&C<
!"'.$ 57 $7 '"'""' O"# ""'.'" ((".#
7 @8#C 7 @8#C 7 #@MH8K'C
SLIDE 5 0&''"#'" '34XF+4FFF1 0&'":(" :"34;("<41 01 01 0&'((#*":("''"34SD>.@C461 061 061 06&'":("1 0&'":(" :"34SD>.@C41 0&'(#1 0&'((#*":("''"34SD>.@C461 06&'(#1 06&'":("1 06&''"#'"1
$@ /C@$C. **. 5L&*L*L# B.' "$@. L#C*L*$@. L&C 5L&*L*L# B.' "$@. L&C*L*$@. L#C
7 "":"*5:' M8NL.>3F((;@F";L<F";L<C ."F.";L< < BB,";L< 8"' ";,.<>";.<>";<
5: L >3;Y2;FL2;<< .5 LF A" @F2FL2;L< >F2FL2;L<C < '"2#;L2<
Mσ + 55 M3+ Mσ > 55 ∃ME M4FM3ME>M4 ME σ M4σ Mσ η;< 55 M3σ@ηC;ME< MEσ Mσ ∧ 55 Mσ .Mσ Mσ ¬ 55 " @Mσ C Mσ η3ηQ 55 σ@ηC3σ@ηQC Mσ ∃&F 55 ∃FMσ=6&? Mσ ∃F 55 ∃MQFMσ=MQ6? Mσ µξF 55 Mσ {µξF6ξ?@'/C .'>> η;⇒ < M ∨ ≠ ∀ νξF Yη;<
.6626"
7 '"@-C* .'@. C :@ 2C .@ -C :@- "C
SLIDE 6
55 @C3=$?
55 $∈@C@@$C3C
55 ∃$QF$F'F$Q B.B $Q σ
55 ∃$QF$QF'F$ B.B $Q σ
55 B $ σ .B $ σ
55 " @B $ σ C
55 B $ σ {µξF6ξ?@'/C
7 Z'""$'"(''↓6↑ @5'".C.→6← @&"'C 7 B'5"" 7 @C'(""5".'
0.130↓1@µξ @∨ 0→1ξCC 0("13µξ @0↑1∨ 0←1ξC 0.'130.1@µξ @∨ 0.1ξCC 0'"1 05$*'1 ;#$<3νξ @∧ ;↓<ξ ∧ ;→<ξC 0':$13µξ @∨ 0↓1ξ ∨ 0→1ξC
0: 1;;(<<55 B *1=? :>300(11 6626"
0.'1@26[ 0.1@"6[ CC
0: 1662;""<6"
*1 :>3 0.'1@2 .@0.1""C .@0.1".CC
0: 1662;" ""<6"
*1 :>3 0.'1@2 .@"0.1""C .@0.1".CC
66:&0:1 66D;."<&X#&6# .#0."1 66=&?6=#?&01.&6# .#01 ..01."#01$' ("'01
7 ='"&016&\&01;&<?
(':"..' .'"
7 01="&&01;&<?061
SLIDE 7 ="021 ="6\0"1 2*"; <?? ,:("5:"" ":"
7 A*:"#"$"' 7 NA5"$2'$
B""":"
7 ":@" '" )#'*#C # "':&(''($@ "'C'
7 .." 7 (""' 7 N 7 *' 7 "#('#'": 7 /
'"'':(/
- )#:('5* -
- ,++:('5 * *
- ,+#
- $$$F$%F686&)#>&(">&'# !"
- '!+%
- 2.$"2!" #
- ,+%
- *'+T+%' ":"