Transcript
Title
Comparative Review Apps towards an ‘in-between’ performance app
Type
Report
URL
http://ualresearchonline.arts.ac.uk/8415/
Date
2014
Citation
Alarcon, Ximena and O'Brien, Donal (2014) Comparative Review Apps towards an ‘in-between’ performance app. Technical Report. CRiSAP. (Unpublished)
Creators
Alarcon, Ximena and O'Brien, Donal
Usage Guidelines Please refer to usage guidelines at http://ualresearchonline.arts.ac.uk/policies.html or alternatively contact
[email protected]. License: Creative Commons Attribution Non-commercial No Derivatives Unless otherwise stated, copyright owned by the author
!∀#∃%&%∋()∗+,∗)(∗−+.∃∃/+∋∀−%&0/+%1+2(134∗∋−∗∗15+∃∗&6∀%17∗+%∃∃+ 89+:(#∗1%+.;%&7<1+,∗/∗%&7=+>∗;;∀−+6&∀#+!,(?.≅Α+Β!!3Χ.Β+%10+∆∀1%;+Ε58&(∗1+Φ(Ε?+ 0∗)∗;∀∃∗&Γ+ + ΗΙ+ϑ1∋&∀0Κ7∋(∀1+ ! ∀#∃%&∋()∗+! ! ! ,)−./0(∗.!∋−∋+0∗&!10./−∗0∗&2!3−∋4(∋50∗&!#∗+!/−∃6∗(1(&7!/(!#33∋(#∃6!80∗9:−/;−−∗! .3#∃−.05−∗#!?1#∋∃≅∗<.!−=3−∋0−∗∃−!;0/6! /−1−5#/0∃!.(∗0∃!3−∋4(∋5#∗∃−.!0∗!/6−!3∋(Α−∃/!Β−/;(∋%−+!Χ0&∋#/0(∗.!∆?1#∋∃≅∗2!ΕΦΓΗΙϑ!! ! ∀7!∃(5:0∗0∗&!Κ−−3!Λ0./−∗0∗&!3∋#∃/0∃−!∆Μ10Ν−∋(.2!ΕΦΦΟΙ!#∗+!053∋(Ν0.#/0(∗!/6∋()&6!/−1−5#/0∃.2! /6−!3−∋4(∋5#∗∃−!−=3−∋0−∗∃−!#11(;−+!/6−!−5−∋&−∗∃−!(4!4−−10∗&.!/6#/!#∋0.−!0∗!50&∋#/0(∗2!/6).! #∃/0∗&!#.!#!∃#/#17./!(4!/6−!(∗&(0∗&!3∋(∃−..!(4!0+−∗/0/7!#∗+!.−∗.−!(4!:−1(∗&0∗&ϑ!Π/!(3−∗−+!/6−! 0+−#!(4!/−∋∋0/(∋7!#∗+!#11(;−+!3#∋/0∃03#∗/.!/(!∃∋−#/−!50=−+9∋−#10/7!∗#∋∋#/0Ν−.Γ2!;0/60∗!#! .)33(∋/0Ν−!.()∗+!.3#∃−!4∋−−!4∋(5!&−(&∋#360∃#1!#∗+!∃)1/)∋#1!∃(∗./∋#0∗/.ϑ!! ! ! Κ−−3!10./−∗0∗&!6−13−+!3#∋/0∃03#∗/.!/(!−=3#∗+!/6−!3−∋∃−3/0(∗!(4!/05−!#∗+!.3#∃−!#∗+!∋−#∃6!#! !∀#!∀∃%&∃!∀∋&!0∗!/6−!.3#∃−ϑ!Θ−∋4(∋50∗&!0∗!#∗!053∋(Ν0.#/(∋7!5#∗∗−∋2!3#∋/0∃03#∗/.!;−∋−!0∗Ν0/−+! /(!10./−∗!/(!/6−!(/6−∋!#∗+!∋−.3(∗+−+!∃∋−#/0Ν−17!0∗!#!+7∗#50∃!(4!−!#∗+!0∗/−∋∋(/0(∗2!;0/6! .3(%−∗!;(∋+2!#:()/!5)1/031−!50&∋#/0(∗.!0∗!#!.6#∋−+!.3#∃−ϑ!Π53∋(Ν0.#/0(∗!5−+0#/−+!:7! ∗−/;(∋%0∗&!/−∃6∗(1(&0−.!+−40∗−+!#∗+!#∋/0∃)1#/−+!/6−!3−∋4(∋5#∗∃−.9%7−∃?22Ο2!;60∃6!0.!#!5(:01−!./∋−#50∗&! #33!/6#/!#11(;.!4(∋!.0∗&1−!(∋!.05)1/#∗−().!5)1/031−!).−∋!:∋(#+∃#./!#∗+!;(∋%.!;0/6!Π∃−∃#./! ./∋−#50∗&!/−∃6∗(1(&7εϑ!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Υ
!ς60.!3∋(Α−∃/!6#.!:−−∗!+−Ν−1(3−+!.0∗∃−!ΕΦΦΟ!:7!/6−!∋−.−#∋∃6!&∋()3!Λ(∃).!Τ(∗).!0∗!ι∋#∗∃−ϑ!6//3Ω[[1(∃).(∗).ϑ(∋&! !φ⊥λ⊥ΠΛ!!0.!8/6−!40∋./!ΕΗ!6()∋!∋#+0(!:∋(#+∃#./!(4!/6−!.()∗+.!(4!+#7:∋−#%!#∋()∗+!/6−!;(∋1+<ϑ!Π/!;#.!/∋#∗.50//−+!0∗! Τ()∗+∃#532!#!10./−∗0∗&!−Ν−∗/!(Ν−∋!/6−!40∋./!;−−%−∗+!0∗!Χ#7ϑ! Ο !Θ−#∋1!ο()∗&2!Λ0Ν−.6()/ϑ!?22∃>−%+∀ϑ!?Ν#01#:1−!#/Ω!6//3.Ω[[0/)∗−.ϑ#331−ϑ∃(5[).[#33[10Ν−.6()/[0+ΗεπθεΓΕπΦ]5/ργ! β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! ε !Π∃−∃#./!0.!#∗!(3−∗.()∋∃−!3∋(Α−∃/!;∋0//−∗!0∗!/6−!ϕ!3∋(&∋#550∗&!1#∗&)#&−!:7!Ψ#∃%!Χ(440//!#∗+!∀#∋#/6!φ#&6#Ν#∗! #∗+!∗(;!5#0∗/#0∗−+!:7!>036ϑ(∋&ϑ!ς6−!3∋(Α−∃/!./#∋/−+!0∗!Γππγ!#∗+!3∋(Ν0+−.!/6−!∃#3#∃0/7!/(!∃∋−#/−!#∗!#)+0(!.−∋Ν−∋2! ;60∃6!0.!.(4/;#∋−!/6#/!0.!∃#3#:1−!(4!∃∋−#/0∗&!∃(∗∗−∃/0(∗.!;0/6!∃10−∗/.2!0ϑ−ϑ!#∗!−∗+!).−∋!:∋(;.0∗&!#!;−:.0/−!(∋!/6−! ).−∋!(4!#∗!0Θ6(∗−!#3310∃#/0(∗2!4(∋!−=#531−2!#∗+!∃(∗/0∗)#117!./∋−#50∗&!#)+0(!/(!/6−5ϑ!Π∃−∃#./!;#.!0∗0/0#117! +−Ν−1(3−+!/(!.)33(∋/!/6−!#)+0(!4(∋5#/.!Μ&&!#∗+!ΧΘΥϑ!∴(;−Ν−∋2!/6−!+−Ν−1(3−∋.!0∗/−∗/0(∗#117!#∋∃60/−∃/−+!/6−! Π∃−∃#./!3∋(&∋#55−!.(!#.!/(!:−!−#.017!#+#3/#:1−!4(∋!(/6−∋!#)+0(!4(∋5#/.ϑ!ς6−!3∋(&∋#55−!/730∃#117!∋)∗.!0∗! ∃(∗Α)∗∃/0(∗!;0/6!#!.()∋∃−!3∋(&∋#55−2!0ϑ−ϑ!#∗!#3310∃#/0(∗!/6#/!3∋(Ν0+−.!/6−!0∗3)/!;60∃6!0.!/6−∗!./∋−#5−+!/(! Η
! ?∗!−=#531−!(4!2+∀≅+∀3%+4∀4!.()∗+!./∋−#5−+!4∋(5!/6−!;−:∃0.!/6−!ΑΒ/∃?222!+−Ν−1(3−+!:7! ΗΥΚ2!;60∃6!(44−∋.!#!Ν0∋/)#1!/()∋!(4!31#∗−/!−#∋/6!Ν0#!.()∗+.∃#3−ϑ!ς6−!.()∗+.2!./∋−#5−+!4∋(5! /6−!ι∋−−.()∗+!3∋(Α−∃/!;−:.0/−θ2!#∋−!50=−+!0∗!#∗+!()/ϑ!?1/−∋∗#/0Ν−17!/6−!).−∋!∃#∗!−=31(∋−!/6−! .()∗+.∃#3−.!(4!3#∋/0∃)1#∋!#∋−#.!:7!.−1−∃/0∗&!1(∃#/0(∗.!(∗!#!5#32!#∗+!50=0∗&!/6−5!0∗!/;(! 5(+−.Ω!∋#∗+(5!#∗+!.0531−ϑ!ς60.!#33!0.!0∗/−∋−./0∗&2!6(;−Ν−∋!/6−!Ν0.)#1!0∗/−∋4#∃−!0.!#!:0/! ∃(∗4).0∗&ϑ!ς−∃6∗0∃#117!0/!+(−.!∗(/!∋−Ξ)0∋−!#∗!#++0/0(∗#1!.−∋Ν−∋2!#.!0/!0.!).0∗&!ι∋−−.()∗+ϑ! ! Χ0=0∗&!2+∀≅+∀3%+4∀4!#∗+!∋)5∀∃!%7#4!∃#∗!:−!−=3−∋0−∗∃−+!0∗!/6−!>%7#4∃Χ,)∋7%−%∃#33;∃ +−Ν−1(3−+!:7!Ψ)#∗!ϕ#∋1(.!Κ)#∋/−!φ−&0∗(2!4∋(5!∴#0!?∋/γ2!#.!3#∋/!(4!#!3#∋/0∃03#/(∋7!3∋(Α−∃/! ;0/6!∃601+∋−∗ϑ!!ς6−!0∗/−∋4#∃−!0.!#!&∋#360∃!30−∃−!(4!1#∗+!∋−3∋−.−∗/0∗&!/6−!ι0∗∗0.6!0.1#∗+! ∴#01)(/(ϑ!Π/!0.!#!4#.∃0∗#/0∗&!∃(∗∃∋−/−!−1−5−∗/!/6#/!∃(∗/∋#./.!;0/6!/∋#+0/0(∗#1!.()∗+5#3.ϑ!Π/! 50=−.!∗#/)∋#1!.()∗+.!4∋(5!/6−!0.1#∗+2!;0/6!#∗7!−∗Ν0∋(∗5−∗/!;6−∋−!/6−!).−∋!0.ϑ!ς6−! #3310∃#/0(∗!).−.!∗−/;(∋%!4−#/)∋−!Ν0#!.−∋Ν−∋!#∗+!(44−∋.!/6−!3(..0:010/7!(4!∋−∃(∋+0∗&!/6−!50=2! #∗+!.−∗+0∗&!0/!/(!/6−!3∋(Α−∃/ϑ!Χ0=0∗&!/6−.−!/;(!.3#∃−.!0.!#∗!0∗/−∋−./0∗&!∃(∗/∋#./!:−/;−−∗! ∗#/)∋−!#∗+!:)01/[)∋:#∗!−∗Ν0∋(∗5−∗/ϑ!?1.(!/6−!10./−∗−∋!0.!0∗Ν0/−+!/(!1(∃#/−!6−∋.−14!0∗!#! +044−∋−∗/!.3#∃−!∃∋−#/−+!:7!/6−!50=!#∗+!#1.(!/(!#!+044−∋−∗/!3−∋∃−3/0(∗!(4!/05−!∆#.!50&6/!(∃∃)∋! 0∗!/6−!50&∋#/(∋7!−=3−∋0−∗∃−Ιϑ!! ! ∀7!∃(∗/∋#./2!;−!∗(/0∃−+!6(;!.(5−!#33.!.)∃6!#.!∆3,+)#,∃#332!+−Ν−1(3−+!:7!Τ5)1−2!∃#∗!(44−∋! #!∋#+0∃#1!+044−∋−∗∃−!4∋(5!/6−!3−∋∃−3/0(∗!(4!∋−#1!/05−2!#∗+!6(;!0/!∃()1+!:−!3−∋∃−0Ν−+!#.!#∗! 011).0(∗ϑ!ς6−!#33!367.0∃#117!5(+−1.!/6−!#∃()./0∃.!(4!/6−!(∃#∋0∗#!/(!3∋(+)∃−!#∗!053∋−..0Ν−17! ∃(∗Ν0∗∃0∗&!(∃#∋0∗#!.()∗+!()/!(4!/6−!0Θ6(∗−!:7!)/010.0∗&!/6−!50∃∋(36(∗−!0∗3)/!#.!/6−! 5()/630−∃−ϑ!ς6−!).−∋!∃#∗!.−−!(∗!#!5#3!6(;!(/6−∋!).−∋.!0∗!/6−!;(∋1+!#∋−!31#70∗&!/6−! (∃#∋0∗#ϑ!0Ν−∗!/6−!4#∃/!/6#/!/6−!3∋(+)∃/!0.!∃(55−∋∃0#1!#∗+!∃1(.−+9.()∋∃−2!0/!0.!∗(/!∃1−#∋!6(;! /6−!∋−#19/05−!./∋−#50∗&!0.!/#%0∗&!31#∃−!(∋!;6#/!/73−.!(4!./∋−#50∗&!/−∃6∗(1(&0−.!#∋−! −531(7−+ϑ!Π∗!−!α#∗&<.!#∋/0∃1−!∆ΕΦΓΗΙ!6−!−=31#0∗.!/6−!∃(∗∃−3/!:−60∗+!/6−!∆3,+)#,∃#33!#∗+! 0/.!.)∃∃−..ϑ!?.!).−∋.2!;−!3∋(:#:17!∗−−+!#!∋−4−∋−∗∃−!/(!;6−∋−!/6−!.()∗+!0.!∃(50∗&!4∋(5!/(! 8:−10−Ν−9%74)%∃,#4∃Ε%)3∀!Φ∃ς6−.−! 0∗Ν0/−!/6−!).−∋!/(!∋−∃(∋+!;0/6!/6−!:)01/90∗!50∃∋(36(∗−2!1−#Ν−!#!5−..#&−2!#∗+!/6−∗!/(!.−#∋∃6! 4(∋!(/6−∋.!/6#/!#∋−!0∗!/6−!).−∋<.!3∋(=050/7ϑ!ς6−!3−∋4(∋5#∗∃−!0.!3∋(3(.−+!:7!/6−.−!#33.!0∗!/6−! .−∗.−!/6#/!0/!&−(1(∃#/−.!/6−!).−∋!(∗!/6−!5#3!Ν0#!ΘΤ2!0∗Ν0/0∗&!/6−!).−∋!/(!1−#Ν−!/∋#∃−.!(4! 3#..0∗&!/6∋()&6!/6#/!.3#∃−ϑ!Π∗!>9%74)%!4(∋!0Θ6(∗−2!:7!φΘ!Λ#∗+−&−∗/2!/6−!.()∗+!0.!+−40∗0/−17! −∗6#∗∃−+!:7!/6−!#..(∃0#/0(∗!(4!1(∃#/0(∗ϑ!∀−0∗&!#:1−!/(!Ν0−;!;6−∋−!/6−!.()∗+!∃(5−.!4∋(5!(∗! #!5#3!#∗+!0∗!∋−1#/0(∗!/(!/6−!).−∋<.!∃)∋∋−∗/!1(∃#/0(∗2!0/!∃∋−#/−.!#!.−∗.−!(4!−=31(∋#/0(∗ϑ! ι)∋/6−∋5(∋−2!0/!).−.!0∗4(∋5#/0(∗!∋−1#/0∗&!/(!/6−!+#/−!#∗+!1(∃#/0(∗!(4!/6−!∋−∃(∋+0∗&.!/6#/! ∃∋−#/−.!#∃4)!∋%3,−)%#!(4!/05−!#∗+!.3#∃−2!;60∃6!0.!#/!/05−.!.(5−;6#/!)∗.−//10∗&!9!3#∋/0∃)1#∋17! 4(∋!∋−∃(∋+0∗&.!5#+−!#!1(∗&!/05−!#&(ϑ!ς6−!#33!−∗6#∗∃−.!#∗!)∋&−!/(!∃∋−#/−!.(5−/60∗&!;(∋/6! 10./−∗0∗&!/(Ζ!:7!5#%0∗&!#!∋−∃(∋+0∗&!/6−!).−∋!0.!3)//0∗&!6−∋.−14!(∗!/6−!5#3!#∗+!5#%0∗&!6−∋.−14! #Ν#01#:1−!/(!:−!6−#∋+!:7!#∗7(∗−!#∗7;6−∋−ϑ!ς6−!;6(1−!0+−#!(4!/6−!Τ6()+0(!#33!∋−Ν(1Ν−.! #∋()∗+!.6#∋0∗&!.()∗+ϑ!! ! ?.0+−!4∋(5!/6−!.6#∋0∗&!3∋(Ν0+−+!:7!/6−!#332!/6−!).−∋!∃#∗!#1.(!∃(∗∗−∃/!/(!.(∃0#1!∃6#∗∗−1.! .)∃6!#.!ι#∃−:((%2!Τ()∗+∃1()+2!#∗+!ς;0//−∋ϑ!?∗!0∗/−∋−./0∗&!−=31(∋−!5(+−!#11(;.!/6−!).−∋!/(! :∋(;.−!.()∗+.!:7!3∋(=050/72!3(3)1#∋!.()∗+.2!∋−∃−∗/17!#++−+2!(∋!/6(.−!/6#/!;−∋−!∋−∃(∋+−+! ∗−#∋:7ϑ!ς6−∋−!0.!#1.(!#∗!(3/0(∗!/(!1−#Ν−!/6−!#33!∋)∗∗0∗&!0∗!/6−!:#∃%&∋()∗+!#∗+!#11(;!0/!/(! 31#7!.()∗+.!/6#/!;−∋−!∋−∃(∋+−+!∗−#∋:7!#.!/6−!).−∋!5(Ν−.!#∋()∗+ϑ!! ! Ε%)3∀!2!:7!Ε%)3∀!2!0.!0∗/−∗+−+!5(∋−!#.!#∗!#)+0(!&)0+−2!;6−∋−!Ν(0∃−!0.!).−+!#.!3∋05#∋7! ∋−.()∋∃−ϑ!Π/!#//−53/.!/(!).−!∃∋(;+!.()∋∃0∗&2!0∗!;60∃6!3−(31−!∋−∃(∋+!#)+0(!&)0+−.!#:()/!/6−0∋! 1(∃#1!#∋−#.!#∗+!)31(#+!/6−5!4(∋!/6−!:−∗−40/!(4!Ν0.0/(∋.ϑ!?11!/6−!&)0+−.!#∋−!/6−∗!31#7−+!:#∃%! #∃∃(∋+0∗&!/(!/6−!1(∃#/0(∗!;6−∋−!/6−!10./−∗−∋!0.2!1(∃#/0∗&!#∗+!/∋0&&−∋0∗&!/6−!&)0+−.!∃1(.−./!/(! /6−!10./−∗−∋ϑ!ς6−!10./−∗0∗&!#//0/)+−!0.!10%−!(Ν−∋6−#∋0∗&!7()∋!∗−0&6:()∋.η!.()∗+!/∋#∃−.2!#∗+! 3−∋∃−0Ν0∗&!3−∋6#3.!#!.−∗.−!(4!.)∋Ν−70∗&!/6−!∃(55)∗0/7ϑ!!!ς6−!#)+0(!Ξ)#10/7!+−3−∗+.!(∗!/6−! (∋0&0∗#1!∋−∃(∋+0∗&.2!#∗+!∃#∗!:−!Ν−∋7!1(;!#/!/05−.ϑ!ς6−∋−!0.!#!.−∗.−!(4!−∗&−5−∗/!#∗+! ∃(55)∗0/7!∃∋−#/−+!:7!/6−!−/6(.!(4!/6−!#332!;60∃6!#05.!/(!∃∋−#/−!#!.(∋/!(4!α0%03−+0#9./71−! −∗∃7∃1(3−+0#!(4!#)+0(!&)0+−.ϑ!∴(;−Ν−∋2!0∗!()∋!−=3−∋0−∗∃−2!/6−!#33!.)44−∋.!4∋(5!#!1#∃%!(4! 3(3)1#∋0/7!#.!−Ν0+−∗∃−+!:7!/6−!.∃#∋∃0/7!(4!.()∋∃−!∋−∃(∋+0∗&.!0∗!∃(5:0∗#/0(∗!;0/62!#∗+! 4)∋/6−∋!#&&∋#Ν#/−+!:72!/6−!4#∃/!/6#/!0/!0.!#Ν#01#:1−!&1(:#117ϑ!ι(∋!−=#531−2!/6−!−=31(∋−!4−#/)∋−2! 0∗/−∗+−+!/(!∋−/∋0−Ν−!∗−#∋:7!&)0+−.2!70−1+−+!∗(!∋−.)1/.!4(∋!).ϑ!Θ∋(=050/7!∆&1(:#191(∃#1Ι!0.!#∗! 0∗/−∋−./0∗&!Ν#∋0#:1−!/6#/!./#∗+.!#.!#!Ν−∋7!053(∋/#∗/!(∗−!;6−∗!).0∗&!.()∗+!#∗+!&−(91(∃#/0(∗ϑ! + =9)+2∃#332!:7!?∗05#1!Τ7./−5.2!#11(;.!0∗/−∋#∃/0(∗!:−/;−−∗!/;(!).−∋.!0∗!/6−!.#5−!Ν0∃0∗0/7!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ΓΦ
!Π.!0/!3(..0:1−!/6#/!/6−!3∋(&∋#550∗&!:−60∗+!0.!.0501#∋!/(!φ−#10/7!ΚΨ!φΨΚΨ!0.!#!5(:01−!0∗/−∋#∃/0Ν−!5).0∃!31#7:#∃%! −∗&0∗−!:#.−+!(∗!Θ)∋−!Κ#/#ϑ!!
/6∋()&6!.()∗+ϑ!ς6−!4#∃/!/6#/!/6−!.−∗+0∗&!).−∋!5#7!(∋!5#7!∗(/!:−!Ν0.0:1−!/(!/6−!∋−∃−0Ν−∋! −=/−∗+.!#∗+!∃(∗/(∋/.!/6−!/∋#+0/0(∗#1!:()∗+.!(4!∃1(.−!Ξ)#∋/−∋.!∃(55)∗0∃#/0(∗!:7!5#%0∗&!0/! 3(..0:1−!/(!−∗&−!0∗!∃(55)∗0∃#/0(∗!;0/6!.(5−(∗−!;6(!5#7!:−!#/!/6−!(/6−∋!−∗+!(4!/6−! 6().−!(∋!.(5−;6−∋−!−1.−!/6#/!0.!:−7(∗+!/6−!:()∗+.!(4!6)5#∗!Ν0.)#1!#∗+![!(∋!#)+0/(∋7! 3−∋∃−3/0(∗ϑ!!ς6−!#33!#11(;.!5)1/031−!3#∋/0∃03#∗/.!/(!0∗/−∋#∃/!;0/6!−#∃6!(/6−∋!.05)1/#∗−().17ϑ! ς6−!5).0∃0#∗!Χ#//6−;!∴−∋:−∋/!+−5(∗./∋#/−+!/6−!∃(11#:(∋#/0Ν−!3(/−∗/0#1!(4!/6−!#33!:7! )/010.0∗&!0/!0∗!/6−!∃(∗/−53(∋#∋7!3∋(+)∃/0(∗!(4!ϕ6#∋1−.!()∗(+<.!Μ3−∋#!ι#)./ΓΓ2!0∗!;60∃6!/6−! #)+0−∗∃−!;#.!−∗∃()∋#&−+!/(!∃(5−!;0/6!/6−!#33!0∗./#11−+!0∗!(∋+−∋!/(!0∗/−∋#∃/!;0/6!/6−! 3∋(+)∃/0(∗!#.!0/!)∗4(1+−+ϑ!+ ! ς6−!#33∃?++)5,∋!!∃∋−#/−+!:7!/6−!Ν(∃#1!#∋/0./!λ0Ν!ϕ(∋∋0∗&6#5ΓΕ!:∋0∗&.!0∗/(!1(∃#/0(∗! 3−∋4(∋5#/0Ν−!#∗+!+(∃)5−∗/#∋7!−1−5−∗/.!#:()/!6−∋!−=31(∋#/0(∗!(4!4−−10∗&.!#..(∃0#/−+!;0/6! 1(∃#/0(∗!0∗!∃(∗Α)∗∃/0(∗!;0/6!/6−!∋−.0+−∗/.!0∗!/6−!∃0/7!(4!σ0∗&./(∗2!Βοϑ!ς6−!).−∋!∃#∗!;#1%! #∗7;6−∋−!0∗!/6−!;(∋1+!#∗+!/6−!#33!;011!/∋#∃%!#!3#/6!#∃∃(∋+0∗&!/(!/6−!∋()/−!/6#/!/6−!#∋/0./! /((%!;0/6!σ0∗&./(∗!∋−.0+−∗/.ϑ!?∗!0∗/−∋−./0∗&!.−∗.−!(4!+0.1(∃#/0(∗!0.!&−∗−∋#/−+!:7!/6−! +−.∃∋03/0(∗!(4!#!4(∋−0&∗!∃0/7!;0/60∗!#∗(/6−∋!∃0/7ϑ!ι)∋/6−∋5(∋−2!λ0Ν!ϕ(∋∋0∗&6#5<.!−5:(+0−+! −=3−∋0−∗∃−!−=3∋−..−+!;0/6!6−∋!Ν(0∃−!(44−∋.!/(!/6−!10./−∗−∋!#!Ν−∋7!0∗.30∋0∗&!;#7!/(!#33∋(#∃6!#! 3#/6!0∗!#∗7!∃0/7ϑ!ς6−!/6−5−.!(4!/6−!0∗/−∋Ν0−;.!#∋−!#:()/!1(∃#/0(∗2!6(5−!#∗+!60./(∋0−.Ζ!/6−.−! 0∗Ν0/−!).!/(!10∗%!/6−.−!10Ν−.!(4!#!+0./#∗/!31#∃−!;0/6!/6−!1(∃#1!(∗−ϑ!ς6−!#∋/0./!0.!/6−!&)0+−! /6∋()&6!/6−!3#/62!#∗+!/60.!5#%−.!/6−!5)1/01#7−∋−+!−=3−∋0−∗∃−!:(/6!:−#)/04)1!#∗+!0∗/−∋−./0∗&! 0∗!0/.!+(∃)5−∗/#∋7!∃6#∋#∃/−∋ϑ! ! Π∗!/6−.−!−=#531−.!;−!6#Ν−!60&610&6/−+!/6−!−=∃0/−5−∗/!3∋(+)∃−+!:7!/6−!0+−#!(4!:−0∗&!6−#∋+! 0∗!∋−#1!/05−2!/6−!.):/1−!+044−∋−∗∃−.!0∗!/6−!3−∋∃−3/0(∗!(4!∋−#1!/05−2!/6−!/05−1−..!4−−10∗&! ∃∋−#/−+!:7!/6−!∃(5:0∗#/0(∗!(4!#!3∋−9∋−∃(∋+−+2!+0./#∗/!∃(∗/−=/!∆−ϑ&ϑ!∋)∋#1Ι!#∗+!#!∋−#19/05−2! 3∋−.−∗/!∃(∗/−=/!∆−ϑ&ϑ!)∋:#∗[−∗∃1(.−+ΙΖ!;#1%0∗&!#∗+!0/.!3(;−∋4)1!4(∋5.!(4!10./−∗0∗&!/(! /−∋∋0/(∋72!;6−∗!−5:(+0−+!:7!#!Ν(0∃−Ζ!#∗+!#1.(!/6−!3(3)1#∋0/7!(44−∋−+!:7!.6#∋0∗&!.()∗+.!0∗! .(∃0#1!∗−/;(∋%.!.)∃6!#.!Τ()∗+∃1()+2!ι#∃−:((%2!ς;0//−∋!#∗+!(/6−∋.2!;60∃6!:−∃(5−.!#! ∃(55−∋∃0#1!3∋−..)∋−!∃(Ν−∋−+!;0/60∗!/6−!0+−#!(4!.(∃0#10δ#/0(∗ϑ!+ + + ΝΙ+1%/2)/0∀&∋(Φ−(∋=+%+0∗)(7∗Α+%10+−(∋=+∀∋=∗&/Γ+ ! Π∗!Β−/;(∋%−+!Χ0&∋#/0(∗.!3−∋4(∋5#∗∃−.2!Ν(0∃−!0∗!0/.!5#∗7!∃∋−#/0Ν−!5#∗04−./#/0(∗.!31#7.!#! Ν−∋7!053(∋/#∗/!∋(1−!0∗!/6−!10./−∗0∗&!(4!/6−!8.−14<ϑ!Π+−∗/0/7!0.!∃∋−#/−+!#∗+!−=3∋−..−+!/6∋()&6! Ν(0∃−ϑ!∀7!0∗/−∋#∃/0∗&!;0/6!(/6−∋.!0∗!/6−!+0./#∗∃−!∆−ϑ&ϑ!;0/6!#!5−5(∋7!(4!1#∗&)#&−2!#!5−5(∋7! (4!#!Ν(0∃−!/6#/!6#.!∃6#∗&−+Ι2!Ν(0∃−.!∋−41−∃/!#∗+!∃∋(..!∃)1/)∋#1!1050/#/0(∗.ϑ!ς6−.−!#33∋(#∃6!#! ∃(∗∃−3/!/6#/!?1#∋∃≅∗!∆ΕΦΓΗΙ!0.!%−−∗!/(!−=31(∋−Ω!8∗(5#+0∃!Ν(0∃−⊥2!#.!0/!0.!#!.5#11−∋!(:Α−∃/ϑ!!! !! ∀7!).0∗&!.∃∋−−∗!/()∃6!∆#∗+!+∋#&&0∗&Ι!/6−!>%#)3∃Τ%%0∃#33ΕΗ∃∃∋−#/−.!3∋−∃0.−!.(∗0∃!∃6#∗&−.2! #∗+!#∗!055−∋.0(∗!0∗!/6−!5#∗7!1#7−∋.!(4!&−∗−∋#/0Ν−!.()∗+!/6∋()&6!/6−!δ((5!4−#/)∋−2!;60∃6! 0.!#//∋#∃/0Ν−!#∗+!−∗&0∗&ϑ!Π/!∃#∗!/#%−!/6−!).−∋!0∗/(!/6−!−=31(∋#/0(∗!(4!#∋−#.!(4!3)∋−! −1−∃/∋(∗0∃!.()∗+2!;0/6!#∗!−∗&0∗&!0∗/−∋4#∃−!/6#/!0.!4#∋!4∋(5!/730∃#1!5).0∃!3∋(+)∃/0(∗! %∗(:.ΕΟϑ!! ! ?∗!−∗&0∗&!).−!(4!Ν0+−(!/∋#∃%0∗&!6#.!:−−∗!+−Ν−1(3−+!0∗!/6−!?)+Γ%1∃#33;∃:7!ο(∗#∃!Π∗∃ϑ2! ;60∃6!0∗Ν0/−.!/6−!).−∋!/(!;#Ν−!/6−0∋!6#∗+.!0∗!/6−!#0∋ϑ!ς#%0∗&!0∗.30∋#/0(∗!4∋(5!/6−!ς6−∋−50∗2! /6−!#33!5#%−.!).−!(4!/6−!4∋(∗/!4#∃0∗&!∃#5−∋#!(4!/6−!∗−;−∋!0Θ6(∗−!5(+−1.!/(!+−/−∃/!6#∗+! 5(Ν−5−∗/!0∗!.3#∃−ϑ!ς6−!).−∋!∃#∗!).−!−0/6−∋!(∗−!(∋!/;(!6#∗+.!/(!−∗&−2!5#330∗&!(∗−!/(! /6−!30/∃6!∃(∗/∋(1!#∗+!#∗(/6−∋!/(!Ν#∋0().!3#∋#5−/−∋.2!0∗∃1)+0∗&!Ν(1)5−2!Ν0:∋#/(!#∗+!401/−∋0∗&ϑ! ς6−!&−./)∋−!(4!/6−!6#∗+!;0/6!/6−!:(+7!0∗!./011∗−..!(44−∋.!#;#∋−∗−..!(4!−#∃6!5(Ν−5−∗/!/6−! :(+7!0.!5#%0∗&!:7!∃6#∗&0∗&!/6−!.()∗+ϑ!Π∗/−∋#∃/0∗&!0∗!/60.!;#7!1−#+.!/(!#!4−−10∗&!(4!0∗/−∗.−! −∗&−5−∗/!;6−∗!/6−!.−∗.(∋.!#∋−!;(∋%0∗&!#.!0∗/−∗+−+ϑ! ! ς6−!?Υ(Θ∃#332!:7!Κ−−3!Λ0./−∗0∗&!Π∗./0/)/−2!;#.!+−.0&∗−+!/(!3∋(Ν0+−!4)11!−∗&−5−∗/!;0/6! /6−!:(+7!:7!∃#5−∋#!/∋#∃%0∗&!#∗+!5(/0(∗ϑ!ς6−!;0+−!Ν#∋0−/7!(4!.()∗+.!#∗+!0∗./∋)5−∗/.!#11(;! /6−!−=3#∗.0(∗!(4!/6−!10./−∗0∗&!−=3−∋0−∗∃−ϑ!ς6−!.(4/;#∋−!40∗+.!/6−!η0∗/−∗/0(∗#1!5(/0(∗η!(4!/6−! ).−∋!04!#11!10&6/0∗&!.−//0∗&.!#∗+!∃(∗+0/0(∗.!#∋−!0∗!31#∃−ϑ!ς6−!.()∗+.!#∋−!60&6!Ξ)#10/7!#∗+! :−#)/04)1ϑ!Κ−.0&∗−+!4(∋!3−(31−!;0/6!367.0∃#1!053#0∋5−∗/.2!/60.!#33!(3−∗.!/6−!0∗∗−∋! −=3∋−..0Ν−!.−142!1(∃%−+!+)−!/(!/6−!1#∃%!(4!5(:010/7!(4!/6−!:(+7ϑ!Π4!/6−!).−∋!;#∗/.!/(!∋−∃(∋+! #∃/0Ν0/72!.[6−!∃#∗!1(&!0∗!/(!?_ΧΠϑ!ς60.!#11(;.!∃(11#:(∋#/0Ν−!1−#∋∗0∗&!:−/;−−∗!/6−!∃∋−#/(∋.!(4! /6−!#33!#∗+!/6−!).−∋.2!;60∃6!#∋−!5#0∗17!0∗!−+)∃#/0(∗#1!0∗./0/)/0(∗.!/6#/!;(∋%!;0/6!∃601+∋−∗!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ΕΥ
!ς6−!.−∗.(∋.!#Ν#01#:1−!0∗!0ΜΤ!+−Ν0∃−.!#∋−!Θ∋(=050/7!.−∗.(∋!∆0Θ6(∗−Ι2!5(/0(∗!.−∗.(∋[#∃∃−1−∋(5−/−∋!∆0Θ6(∗−2! 0Θ#+Ι2!?5:0−∗/!10&6/!.−∗.(∋!∆0Θ6(∗−2!0Θ(+2!0Θ#+Ι2!5(0./)∋−!.−∗.(∋!#∗+!&7∋(.∃(3−ϑ! 6//3Ω[[03(+ϑ#:()/ϑ∃(5[(+[03(+036(∗−6#∋+;#∋−/−∋5.[Ξ/[036(∗−9.−∗.(∋.ϑ6/5!∆?∃∃−..−+!(∗!Γθ[Φπ[ΓΗΙ!!! ΕΗ !ΜΤ!0Θ#+!?33ϑ!Θ6Κ!Θ∋(Α−∃/!#/!,)−−∗!Χ#∋7!_∗0Ν−∋.0/7!(4!Λ(∗+(∗ϑ!∀7!φ(:−∋/!ς)::ϑ!ϕ∋−#/−+!!(∗!ΦΟ[Φγ[ΕΦΓΥ! ΕΟ !ϕ)∋∋−∗/17!/6−∋−!#∋−!%∗(:.!+−Ν−1(3−+!4(∋!0Θ#+!/(!∃(∗/∋(1!ς()∃6!ΜΤϕ2! 6//3Ω[[;;;ϑ;0∋−+ϑ∃(ϑ)%[∗−;.[#∋∃60Ν−[ΕΦΓΗ9Φθ[Φπ[/)∗#9%∗(:.!∆?∃∃−..−+!(∗!ΓΗ[Φγ[ΓΗΙ!
;0/6!053#0∋−+!5(Ν−5−∗/ϑ!ς6−!#33!6#.!(3/0(∗.!/(!;(∋%!Ν0#!#!1(∃#1!∗−/;(∋%2!#∗+!6#.!:−−∗! ∃∋−#/−+!;0/6!053∋(Ν0.#/0(∗!0∗!50∗+ϑ! ! ς6−!∋−Ν0−;−+!#33.!.)&&−./!/6#/!/6−!).−!(4!#!+−Ν0∃−<.!/−∃6∗(1(&0−.!(4!5(Ν−5−∗/!∃#∗! (44−∋!3−∋4(∋5#/0Ν0/7!#∗+!5(:010/7!/(!/6−!).−∋.ϑ!?!/∋#∃%0∗&!(4!5(Ν−5−∗/!0∗!.3#∃−2!;60∃6!+(−.! ∗(/!∗−∃−..#∋017!0∗Ν(1Ν−!ΘΤ2!0.!#!4−#/)∋−!;(∋/6!−=31(∋0∗&!4(∋!#!4)/)∋−!#3310∃#/0(∗!;6−∋−! 3−∋4(∋5−∋.!−=31(∋−!Κ−−3!Λ0./−∗0∗&!:(+72!#∗+!/6−!3−∋∃−3/0(∗!(4!367.0∃#1!.3#∃−!0∗!1(∃#1!#∗+! +0./#∗/!1(∃#/0(∗.ϑ!?;#∋−∗−..!∃∋−#/−+!:7!/6−!3∋−∃0.0(∗!/6#/!.−∗.(∋.!(44−∋!/(!:(+7!5(/0(∗.!∃#∗! :−!−=31(∋−+!;6−∗!3−∋4(∋50∗&Ζ!3#∋/0∃)1#∋17!.1(;!5(Ν−5−∗/.!∃#∗!:−!−=31(∋−+!/(!#∃60−Ν−! :−//−∋!#;#∋−∗−..!(4!.()∗+!0∗!.3#∃−[/05−ϑ! ! ! ΝΙΝ+ϑ1∋∗&%7∋(1Ο+−(∋=+)(/Κ%;;9+∗1Ο%Ο(1Ο+(1∋∗&6%7∗/+ ! Κ∋#&&0∗&!#∗+!/#330∗&!6#Ν−!:−−∗!−5:∋#∃−+!:7!#33.2!0∗!;6#/!∴#∋5(∗7!∀−∗∃6!∆ΕΦΓΗΙ!∃#11.! 8&−./)∋#1!∃6(∋−(&∋#360−.<2!/(!−=31(∋−!4(∋5.!(4!0∗/−∋#∃/0(∗!6−130∗&!/6−!).−∋!/(!31#7!;0/6! .()∗+ϑ!ς6−!<,−,−,2!#33ςΩ2!:7!Ψ(∗(!∀∋#∗+−12∃(44−∋.!#∗!0∗/−∋#∃/0Ν−!#)+0(9Ν0.)#1!−=3−∋0−∗∃−!/6#/! /6−!).−∋!∃#∗!−=31(∋−!:7!/730∗&!%−7.!(∗!#!/∋#+0/0(∗#1!%−7:(#∋+!(∋!/6−!.)∋4#∃−!(4!#!/()∃6! .∃∋−−∗!/(!/∋0&&−∋!.()∗+!∃103.!#∗+!.6(∋/!&∋#360∃!#∗05#/0(∗.ϑ!α0/6!/60.!#33!/6−!).−∋!∃#∗!∃∋−#/−! 5).0∃#1!30−∃−.!:7!1−#∋∗0∗&!#∗+!∃6((.0∗&!/6−!.()∗+.!#∗+!05#&−.!/∋0&&−∋−+!:7!/6−!/()∃6! #∃/0(∗!∆(∗!/6−!0Θ#+Ι!(∋!/730∗&!(∗!/6−!%−7:(#∋+!∆(∗!/6−!∃(53)/−∋ΙΖ!/6−!&∋#360∃.!−∗6#∗∃−!/6−! .−∗.−!(4!−=3∋−..0(∗!0∗!;6#/!∃#∗!:−!#∃60−Ν−+!:7!−=3−∋05−∗/0∗&ϑ!ι(∋!0∗./#∗∃−2!#∗!0∗/−∋−./0∗&! −=3−∋05−∗/!0.!/(!31#7!;0/6!/6−!#33!;6−∋−!#!,α⊥φςο!%−7:(#∋+Εθ!0.!#Ν#01#:1−ϑ!Π4!/6−!).−∋!/73−.! #;#7!#.!/6()&6!;∋0/0∗&!#!1−//−∋!(∋!&0Ν0∗&!Ν(0∃−!/(!#!∋#∗+(5!/∋#0∗!(4!/6()&6/2!.[6−!∃#∗! (:.−∋Ν−!6(;!0/!0.!−=3∋−..−+!0∗!.()∗+!#∗+!05#&−2!;601−!31#70∗&!/6−!#33!)∗Ν−01.!1#7−∋.!(4! .()∗+!0∗!#!.(∋/!(4!∃(53(.0/0(∗ϑ!ς6−!0∗/−∋4#∃−!0.!∋−1#/0Ν−17!60++−∗2!#∗+!.3#∃−.!#∋−!+0.∃(Ν−∋−+! :7!∋−3−#/−+!0∗/−∋#∃/0(∗ϑ!∀7!/#330∗&!/6−!).−∋!5−5(∋0.−.!/6−!.3#∃−.!(∗!/6−!.∃∋−−∗!;6−∋−! .()∗+.!#∋−!/∋0&&−∋−+ϑ! ! Μ/6−∋!#33.!/6#/!.0501#∋17!−∗&−!/6−!).−∋!;0/6!05#&−.!#∗+!.()∗+.!#∋−!Η∋%%02!:7! Χ0∗+:1((52!!/+%2%29%#∀2!:7!!∴#7#.60!ο(.)%−!#∗+!>%7#4+%2;∃6.∃/∀5∀∋%∀∃::=ϑ!ς6−!>%7#4+%2∃ #33!0.!#!:−#)/04)1!#∗+!−∗&0∗&!#332!;60∃6!;(∋%.!;0/6!10∗−.!/6#/2!#∃∃(∋+0∗&!/(!/6−0∋!3(.0/0(∗2! 0∗41)−∗∃−!:(/6!/6−!30/∃6!(4!/6−!:#11!;6−∗!/()∃60∗&!#∗+!/6−!∋67/65!&0Ν−∗!:7!/6−!∃(110.0(∗! :−/;−−∗!.)∋4#∃−.!/6#/!#∋−!3(.0/0(∗−+!0∗!#!3#∋#11−1!(∋!(:10Ξ)−!5#∗∗−∋ϑ!∀(/6!10./−∗0∗&! 0∗/)0/0Ν−17!#∗+!/6−!∋#/0(∗#1!50∗+!#∋−!4(∃).−+!(∗!/6−!−ϑ!ΜΝ−∋#112!.05310∃0/7!(4!0∗/−∋4#∃−! 5#%−.!.()∗+0∗&!#∗+!10./−∗0∗&!./#∗+!()/ϑ! ! ς6−.−!#3310∃#/0(∗.!6#Ν−!0∗Ν0/−+!).!/(!/60∗%!6(;!05#&−!∃#∗!1−#Ν−!.()∗+!0/.!∋(1−!;0/6()/! 4#110∗&!0∗/(!#!4)∗∃/0(∗#1!∋−1#/0(∗.6032!:)/!−./#:10.60∗&!#∗!0∗/−∋−./0∗&!+0#1(&)−!:−/;−−∗!.()∗+!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Εε
!α−!0∗∃1)+−+!/6−!;−:9:#.−+!#33!Θ∋#/#/#32!#.!;6−∗!0/!;(∋%.!0∗!0Θ6(∗−!(∋!0Θ#+!0/!/#%−.!#+Ν#∗/#&−!(4!.∃∋−−∗! /()∃6!/−∃6∗(1(&7ϑ! Εθ !,α⊥φςοϑ!Ε)ϑ)2∀4),;∃−9∀∃&+∀∀∃∀#3.3∋%2∀4),ϑ!?Ν#01#:1−!#/Ω! 6//3Ω[[−∗ϑ;0%03−+0#ϑ(∋&[;[0∗+−=ϑ363]/0/1−ρ,α⊥φςοκ(1+0+ρεΓΟΓγΗθΟΥ!β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! !
#∗+!05#&−2!∋−.)1/0∗&!0∗!#!∋−;#∋+0∗&!−=3−∋0−∗∃−!4(∋!/6−!).−∋ϑ!Τ05310∃0/7!0∗!/6−!Ν0.)#1.2!.)∃6!#.! 0∗!Τ()∗+∋(32!0.!∗(/!(∗17!4)∗∃/0(∗#1!:)/!6−13.!/(!∃∋−#/−!.()∗+0∗&!.3#∃−ϑ!Π5#&0∗0∗&!/−1−5#/0∃! 3−∋4(∋5#∗∃−.2!0/!0.!053(∋/#∗/!/(!:−!50∗+4)1!(4!/6−!∋(1−!/6#/!/6−!.∃∋−−∗!31#7.!#.!/6−! .−3#∋#/0(∗!0∗9:−/;−−∗!/6−!/;(!1(∃#/0(∗.2!#15(./!/6−!367.0∃#1!:(∋+−∋2!;60∃6!∃#∗!:−!∋0∃617! −=31(∋−+!#−./6−/0∃#117!#∗+!/−∃6∗0∃#117ϑ! ! ΝΙΘ+!∀#∃∀/(1Ο+49+/∗ΡΚ∗17(1Ο+%10+∋&%1/6∀(1Ο+/∀Κ10/+ ! ϕ(53(.0∗&!(∗!#!5(:01−!+−Ν0∃−!∃#∗!:−!)∗+−∋./((+!#∗+!+−Ν−1(3−+!#.!#!4(∋5!(4! 3−∋4(∋5#∗∃−2!#∗+!#1.(!#.!#!3∋(∃−..!/6#/!∃(531−5−∗/.!.(5−!/73−.!(4!3−∋4(∋5#∗∃−ϑ!α−! .−1−∃/−+!#)+0(!3∋(+)∃/0(∗!#33.!/6#/!#∋−!(4!60&6!./#∗+#∋+!0∗!/6−!5#∋%−/ϑ!ς6−0∋!4)∗∃/0(∗#10/0−.! Ν#∋7!;0+−17!4∋(5!.0531−!.#531−9:#.−+!.−Ξ)−∗∃−∋.!∆/+%2%29%#∀Ι2!/(!%−7:(#∋+.!#∗+! .7∗/6−.0δ−∋.!∆>∀∋)#∀;∃:7!?50+0(!Π∗∃ϑΙ2!;#Ν−!−+0/(∋.!#∗+!5)1/09/∋#∃%!∋−∃(∋+−∋.!∆∆5∀+476Ι!/(! 4)117!4−#/)∋−+!Κ0&0/#1!?)+0(!α(∋%./#/0(∗.2!;60∃6!5050∃!/6−!∃(531−=!0∗/−∋∗#1.!(4!#!+0&0/#1! ./)+0(2!0∗∃1)+0∗&!0∗./∋)5−∗/.2!+−Ν0∃−.2!−44−∃/.!)∗0/.!#∗+!/6−0∋!0∗/−∋∃(∗∗−∃/0(∗.!∆?74)%∃ Ξ5%∋7−)%#∃(%6)∋∀;∃Ι,6∋∀−%2Ιϑ! ∃ !ι(∋!0∗./#∗∃−2!/6−!?06)∀#−∃!%7#4∃∋,6∃#33!#11(;.!/6−!).−∋!/(!+0.∃(Ν−∋!∋67/65.!#∗+!∃∋−#/−! ∃(53(.0/0(∗.2!5(+0470∗&!/6−!.()∗+!/6∋()&6!4−#/)∋−.!.)∃6!#.!.3−−+2!5((+2!#∗+!/6−! 4∋−Ξ)−∗∃7!(4!/(∗−.!/6#/!#∋−!:−0∗&!&−∗−∋#/−+ϑ!! ! !Π∗!/6−!.#5−!10∗−2!/6−!?74)%∃Ξ5%∋7−)%#∃#33!#11(;.!).−∋.!/(!∋−∃(∋+!(∋!053(∋/!#∗7!%0∗+!(4! .()∗+.!#∗+!5(+047!/6−5!0∗!∋−#1!/05−ϑ!Π∗!/6−!#33∃Ι+,ϑ−%+∃/Ψ2!:7!Β#/0Ν−!Π∗./∋)5−∗/.!5:∴2! /6−!.()∗+!∃#∗!:−!−∗6#∗∃−+!0∗!#!∗)5:−∋!(4!;#7.2!0∗∃1)+0∗&!/6−!#3310∃#/0(∗!(4!−44−∃/.2! −Ξ)#10.#/0(∗!#∗+!:7!50=0∗&ϑ!ς6−!.()∗+!0.!&∋−#/17!−∗6#∗∃−+!:7!/6−!−=0./−∗∃−!#!&∋#360∃#1! ;#Ν−4(∋5!∋−3∋−.−∗/0∗&!−#∃6!/∋#∃%ϑ!Π/!#11(;.!/6−!).−∋!/(!∃∋−#/−!∗−;!5).0∃!;0/6!6−∋[60.!5).0∃! ∃(11−∃/0(∗ϑ!Μ∗!/(3!(4!/6−!./#∗+#∋+!50=0∗&!4)∗∃/0(∗#10/72!/6−∋−!#∋−!(3/0(∗.!/6#/!#11(;!/6−!).−∋! /(!∃)−!:−#/.!:7!/#330∗&!#/!+044−∋−∗/!/05−!1(∃#/0(∗.!#1(∗&!/6−!;#Ν−4(∋5ϑ!! ! ς6−!.()∗+!#∃∃)∋#∃7!#∃60−Ν−+!:7!/6−.−!#33.!.6(;.!6(;!3(;−∋4)1!∃#∗!:−!/6−!5#∗03)1#/0(∗!(4! #)+0(!3#∋#5−/−∋.!(∗!#!5(:01−!36(∗−ϑ!Π/!0.!;(∋/6!1((%0∗&!0∗/(!3(..0:010/0−.!(4!∋−#1!/05−!50=0∗&! /6#/!0∗!/6−!4)/)∋−!50&6/!:−!#//#∃6−+!/(!/6−!./∋−#50∗&!#)+0(!.0&∗#1ϑ! ! !∀17;Κ/(∀1/! ! ς60.!∋−Ν0−;!6#.!(44−∋−+!#!&((+!+−&∋−−!(4!∃1#∋0/7!0∗/(!/−∃6∗0∃#12!.(∗0∃2!Ν0.)#1!#∗+!3−∋4(∋5#/0Ν−! #.3−∃/.!/6#/!∗−−+!/(!:−!∃(∗.0+−∋−+!/(!+−.0&∗!#!3∋(/(/73−!4(∋!#!5(:01−!#33!4(∋!/−1−5#/0∃! .(∗0∃!3−∋4(∋5#∗∃−ϑ!∀−∃#).−!(4!/6−!5−+0)52!3−∋4(∋5#∗∃−.!∃()1+!:−!)∗+−∋./((+!#.!5(:01−!(∋! 1(∃#/0Ν−ϑ! ! ς6−∋−!0.!1(/.!(4!3(/−∗/0#1!/(!−=31(∋−!∃∋−#/0Ν−17!/6−!0∗9:−/;−−∗!.(∗0∃!.3#∃−!∃∋−#/−+!0∗! 50&∋#/(∋7[+0.1(∃#/0(∗!−=3−∋0−∗∃−.!;0/6!5(:01−!36(∗−!#33.ϑ!∴(;−Ν−∋!/6−!;#7!(4!+−Ν−1(30∗&! /6−!#33!#∗+!/6−!3−∋4(5#∗∃−!;011!:−!∃(∗.0+−∋#:17!+044−∋−∗/!/6#∗!#!3−∋4(∋5#∗∃−!5−+0#/−+! /6∋()&6!/6−!Π∗/−∋∗−/ϑ!! !
ς6−!.(∃0#1!∃(∗/−=/!;6−∋−!/6−!#3310∃#/0(∗!0.!&(0∗&!/(!:−!).−+!0.!%−72!#∗+!1(∃#/0(∗!0.!#∗! 053(∋/#∗/!4−#/)∋−!/(!∃(∗.0+−∋!:(/6!.(∃0#117!#∗+!/−∃6∗(1(&0∃#117ϑ!Π∗/05#∃7!#∗+!.(∃0#1! −∗&−5−∗/!#∋−!#//∋0:)/−.!−=3−∋0−∗∃−+!/6∋()&6!/6−!5−+0)52!;60∃6!#∋−!∃∋)∃0#1!;6−∗! /60∗%0∗&!(4!+−Ν−1(30∗&!#∗!#33!0∗!#∗7!∃(∗/−=/ϑ!ς60.!0∗Ν0/−.!(∗−!/(!∃(∗.0+−∋!6(;!/(!−∗&−!#! ∃(55)∗0/7!(4!).−∋.2!#∗+!/6−!+044−∋−∗/!1#7−∋.!(4!∃(11#:(∋#/0(∗!/6#/!50&6/!:−!−./#:10.6−+!#∗+! 1−#∋∗/!/(&−/6−∋!;0/6!50&∋#∗/.ϑ!! ! Τ/∋−#50∗&!.()∗+!Ν0#!5(:01−!36(∗−.!(44−∋.!#!∃(∗./∋)∃/0(∗!(4!∋−#19/05−2!;60∃6!∃#∗!:−!).−+!0∗! +044−∋−∗/!;#7.!4(∋!#∗!#33!4(∃).−+!(∗!50&∋#/0(∗.ϑ!ι(∋5.!(4!10./−∗0∗&!/(!./∋−#50∗&2!3∋−9 ∋−∃(∋+−+!#∗+!10Ν−!.()∗+2!(∋!(∗17!3∋−9∋−∃(∋+−+2!#.!−=−531040−+!0∗!/6−!∋−Ν0−;−+!#33.2! 60&610&6/!/6−0∋!3−∋∃−3/)#1!#∗+!#−./6−/0∃!+044−∋−∗∃−.ϑ!! ! Χ(:01−!36(∗−.!(44−∋!+044−∋−∗/!(3/0(∗.!/(!/60∗%!(4!:09+0∋−∃/0(∗#1!./∋−#50∗&!∆#.!6#33−∗−+!0∗! /6−!Π∗/−∋∗−/9:#.−+!3−∋4(∋5#∗∃−.Ι!#∗+!0∗/−∋#∃/0(∗ϑ!Μ/6−∋!4(∋5.!(4!+0.1(∃#/0(∗!∃#∗!:−!∃∋−#/−+! :7!/6−!∃(∗/−=/!#∗+!/6−!/−∃6∗(1(&7ϑ!! ! Λ(∃).ϕ#./!#332!3#∋/!(4!/6−!Λ(∃)./∋−#5!3∋(Α−∃/2!3∋(3(.−.!#∗!0∗/−∋−./0∗&!#1/−∋∗#/0Ν−2!;60∃6! ∗−−+.!5(∋−!/6#∗!(∗−!+−Ν0∃−!0∗!−#∃6!1(∃#/0(∗!/(!#33∋(#∃6!/6−!(∋0&0∗#1!4−−10∗&!(4!:09 +0∋−∃/0(∗#10/7ϑ!ς(&−/6−∋!;0/6!Λ0Ν−Τ6()/!/6−.−!#33.!∃#∗!:−!).−+!/(!−=3−∋05−∗/!;0/6! ./∋−#50∗&!#∗+!10./−∗0∗&!/6∋()&6!/6−!;−:!#.!301(/!3∋(Α−∃/.!/6#/!.)33(∋/!#!;(∋%!(∗!+0.1(∃#/0(∗ϑ! ! ς6−!).−!(4!Ν(0∃−!/∋#∗.4(∋5#/0(∗.!∗−−+.!/(!:−!∃#∋−4)117!+−Ν−1(3−+ϑ!ς6−!#∃()./0∃! /∋#∗.4(∋5#/0(∗!0.!#!%−7!#.3−∃/!/(!∋#0.−!#;#∋−∗−..!0∗!/6−!10./−∗−∋!(4!6(;!Ν(0∃−!0.!∋−41−∃/−+!0∗! +044−∋−∗/!.3#∃−.ϑ!_.0∗&!−0/6−∋!∋−Ν−∋:2!#!3)∋−!∋−41−∃/0(∗!(4!/6−!Ν(0∃−!0∗!.3#∃−2!(∋!+−1#72!/6−! Ν(0∃−!0∗!.3#∃−!5−+0#/−+!:7!/05−.!(4!∋−∃(∋+0∗&2!10./−∗0∗&!#∗+!∋−41−∃/0∗&2!0.!#!40∋./!./−3!/(!:−! −=31(∋−+ϑ!! ! Λ((30∗&!#3310∃#/0(∗.!0∗Ν0/−!.−149∋−41−∃/0(∗2!#∗+!0/!;()1+!:−!0∗/−∋−./0∗&!/(!−=31(∋−!6(;!/60.! ∃#∗!:−!#3310−+!/(!053∋(Ν0.#/0(∗!0∗!∋−#1!/05−ϑ!ι(∋!−=#531−2!6(;!:7!/∋#Ν−10∗&!/(!#∗(/6−∋! .3#∃−2!/6−!Ν(0∃−!0.!:()∗∃−+!:#∃%!/(!/6−!10./−∗−∋2!0∗4(∋5−+!:7!/6−!−∗Ν0∋(∗5−∗/!;6−∋−!/6−! 10./−∗−∋!0.2!#∗+!#1.(!∋−41−∃/−+!(∗!(/6−∋!3−(31−<.!Ν(0∃−.ϑ!ι(∃).0∗&!(∗!/6−!η∗(5#+0∃!Ν(0∃−η!#∗+! 0/.!3−∋4(∋5#/0Ν−!3(..0:010/0−.!.−−5.!10%−!#!&((+!;#7!/(!./#∋/!+−Ν−1(30∗&!#∗!#33Ω!40∋./!4(∋! 0∗+0Ν0+)#1!).−∋.2!#∗+!/6−∗!4(∋!∃(11−∃/0Ν−!(∋!∗−/;(∋%−+!).−ϑ! ! Μ∗!/6−!(/6−∋!6#∗+2!/6−!0∗/−&∋#/0(∗!(4!5#∗7!3(..0:010/0−.!(4!5(Ν−5−∗/!;0/6!/6−!+−Ν0∃−!0∗Ν0/−.! ).!/(!/60∗%!(4!3−∋4(∋5#∗∃−!;0/6!/6−!:(+7ϑ!Κ−−3!Λ0./−∗0∗&!3∋#∃/0∃−2!#∗+!;0/60∗!0/!/6−!10./−∗0∗&! :(+7!3∋#∃/0∃−2!(3−∗.!#!∃∋−#/0Ν−!&∋()∗+!4(∋!−=3−∋05−∗/0∗&!;0/6!/60.!/−∃6∗(1(&7ϑ!! ! λ0.)#1172!0/!50&6/!:−!0∗/−∋−./0∗&!/(!/60∗%!(4!#∗05#/−+!.∃(∋−.2!−Ν−∗!04!50∗05#12!#.!#!∋−.()∋∃−!/(! −=31(∋−!/6−!∃(∗∃−3/!(4!#∗/0∃03#/0(∗ϑ! ! Μ∗!/6−!+−Ν0∃−2!−∗&−5−∗/!;0/6!/()∃6!0.!Ν−∋7!∋−1−Ν#∗/ϑ!ς()∃60∗&!/6−!.∃∋−−∗!#.!#!η1050/η! :−/;−−∗!/6−!/;(!1(∃#/0(∗.!∃#∗!:−∃(5−!#!3(;−∋4)1!4−#/)∋−!/6#/!∃#∗∗(/!:−!)∗+−∋−./05#/−+ϑ+ ι(∋!0∗./#∗∃−2!−=31(∋0∗&!Ν0.)#117!1(∃#/0(∗2!.)∃6!#.!0∗!/6−!Τ(∗0∃!τ((5!#332!0.!0∗/−∋−./0∗&!#.!#! 5−/#36(∋!4(∋!−=31(∋0∗&!0∗9:−/;−−∗.!0∗!5)1/031−!1#7−∋.2!#∗+!0.!−∗&0∗&ϑ!Π/!0.!+0440∃)1/!/(!/60∗%! (4!053∋(Ν0.#/0(∗#1!∗#Ν0/0(∗!/6#/!:∋0∗&.!/6−!)∗.−140∗&2!#.!∗#Ν0/0(∗!0.!#!∋#/6−∋!.−14! 055−∋.0Ν−!−=3−∋0−∗∃−ϑ!∴(;−Ν−∋!0/.!.05310∃0/72!#∗+!/6−!3(..0:010/7!(4!31#70∗&!;0/6!/6−!.3#∃−2! ;0/6!:(∋+−∋.!#∗+!3(..0:010/0−.!#∃∃(∋+0∗&!/(!/6−!−∗∃()∗/−∋!(4!1050/.2!0.!#∗!0∗/−∋−./0∗&!
5−/#36(∋!4(∋!50&∋#/0(∗!#∗+!0∗9:−/;−−∗9∗−..!/6#/!∃#∗!:−!#3310−+!/(!/6−!5#%0∗&!(4!.(∗0∃#117! ∋−;#∋+0∗&!−=3−∋0−∗∃−.!0∗!#∗!053∋(Ν0.#/0(∗#1!5#∗∗−∋2!#.!#!5)1/031#7−∋!.3#∃−ϑ! ! ς−∃6∗0∃#117!#∗!#33!+−Ν−1(35−∗/!∗−−+.!/(!4(∃).!(∗!#!∗)5:−∋!(4!4)∗∃/0(∗.2!;60∃6!∗−−+!/(!:−! +−Ν−1(3−+!#∗+!/−./−+!./−3!:7!./−3ϑ!?∃∃(∋+0∗&!/(!/6−!∃(∗/−=/!#∗+!∋−.()∋∃−.2!/6−!∋−.−#∋∃6−∋.! ∃#∗!4(∃).!(∗!(∗−!0+−#!#∗+!:)01+!0∗!#!5(+)1#∋!;#7!#∗!0∗/−∋4#∃−!/6#/!.)33(∋/.!+044−∋−∗/!4(∋5.! (4!0∗/−∋#∃/0(∗!0∗!/6−!80∗9:−/;−−∗05−∗#!∆ΕΦΓΗΙ!ΡΒ−/;(∋%−+!Χ0&∋#/0(∗.Ω!10./−∗0∗&!/(!#∗+!3−∋4(∋50∗&!/6−!0∗9:−/;−−∗! .3#∃−ν2!Λ050∗#10/0−.Ω!?!Ψ()∋∗#1!(4!Θ−∋4(∋5#∗∃−!Τ/)+0−.!λ(1ϑ!ΓΦ2!Β(ϑ!Γ2!Χ#7!ΕΦΓΗ!! ! ∀−∗∃62!∴#∋5(∗7!∆ΕΦΓΗΙ!Σ−./)∋#1!ϕ6(∋−(&∋#360−.Ω!⊥5:(+0−+!Κ0.∃0310∗−.!#∗+!Κ0&0/#1!Χ−+0#Σ! 0∗!ς6−!Μ=4(∋+!∴#∗+:((%!(4!Χ(:01−!Χ).0∃!Τ/)+0−.!λ(1ϑ!Ε!⊥+0/−+!:7!Τ)5#∗/6!(30∗#/6!#∗+! Ψ#.(∗!Τ/#∗7−%ϑ!Μ=4(∋+!Β−;!Θ∋−..Ω!_Τ?ϑ!! ! ϕ#∋171−2!?∗&).!κ!Λ#∗−2!ϕ#/67!⊥+.∆ΕΦΓΥΙ!Μ∗!Λ0./−∗0∗&ϑ!ϕφ0Τ?Θϑ!_∗04(∋5:((%.ΩΚ−Ν(∗! ! Κ−!Τ()δ#!−!Τ01Ν#2!?+∋0#∗#!∆ΕΦΓΥΙ!ΡΛ(∃#/0(∗9#;#∋−!5(:01−!/−∃6∗(1(&0−.Ω!60./(∋0∃#12!.(∃0#1!#∗+! .3#/0#1!#33∋(#∃6−.ν!0∗!Χ(:01−2!Χ−+0#!#∗+!ϕ(55)∗0∃#/0(∗!λ(1ϑ!Γ2!Β)5:−∋!Γ2!Ψ#∗)#∋7!ΕΦΓΥ! 6//3Ω[[55∃ϑ.#&−3):ϑ∃(5! ! Μ10Ν−∋(.2!Θ#)10∗−ϑ!ΕΦΦΟϑ!Κ−−3!Λ0./−∗0∗&Ω!?!ϕ(53(.−∋<.!Τ()∗+!Θ∋#∃/0∃−ϑ!Λ0∗∃(1∗2!Β⊥Ω!0_∗0Ν−∋.−! ∀((%.ϑ!! ! Μ∋/−!Χ#∋0#∗#ϑ!ΕΦΦγϑ!Χ)1/0310∃0/72!Π∗:−/;−−∗−..2!#∗+!/6−!,)−./0(∗!(4!?..0501#/0(∗ϑ!ς6−! Τ()/6−∋∗!Ψ()∋∗#1!(4!Θ601(.(367!ΗεΩ!εΟωγΦϑ!! ! Θ#3#+(5#∗(1#%02!Χ#∋0#!∆ΕΦΓΗΙ!Σς6−!ι0−1+!φ−3(∋/−∋Σ2!0∗/−∋Ν0−;!;0/6!∋#∗/!Τ50/62!0∗! Τ()∗+∃#53!/#:1(0+!3):10∃#/0(∗ϑ!Θ#&−.!ΓΦ9ΓΓϑ!! ! Τ∃6∋(−+−∋2!ι∋#∗δ0.%#ϑ!ΕΦΓΥϑ!Β−/;(∋%β−+χ!Λ0./−∗0∗&ξς(;#∋+.!#!Κ−9∃−∗/−∋0∗&!(4!∀−9!0∗&.ϑ! =%#−∀02%+,+.∃(7!)3∃Μ∀5)∀8!ΥΕ!∆Ε9ΥΙΩ!ΕΓΟωΕΕπϑ!?∃∃−..−+!ΓΗ!?)&)./!ΕΦΓΥ2!+(0Ω! ΓΦϑΓΦγΦ[ΦθΗπΗΗεθϑΕΦΓΥϑθθΟγΦθϑ!! ! ς#∗#%#2!?/#)!∆ΕΦΓΗΙ!Σϕ∋−#/0Ν−!?3310∃#/0(∗.!(4!Π∗/−∋#∃/0Ν−!Χ(:01−!Χ).0∃Σ!0∗!ς6−!Μ=4(∋+! ∴#∗+:((%!(4!Χ(:01−!Χ).0∃!Τ/)+0−.!λ(1ϑ!Ε!⊥+0/−+!:7!Τ)5#∗/6!(30∗#/6!#∗+!Ψ#.(∗!Τ/#∗7−%ϑ! Μ=4(∋+!Β−;!Θ∋−..Ω!_Τ?ϑ!! ! α#∗&!−2!⊥..1!−(∋&−2!#∗+!Θ−∗//0∗−∗!∴−∗∋0!∆ΕΦΓΗΙ!Σς6−!Χ(:01−!Θ6(∗−!Μ∋∃6−./∋#Σ!0∗!ς6−! Μ=4(∋+!∴#∗+:((%!(4!Χ(:01−!Χ).0∃!Τ/)+0−.!λ(1ϑ!Ε!⊥+0/−+!:7!Τ)5#∗/6!(30∗#/6!#∗+!Ψ#.(∗! Τ/#∗7−%ϑ!Μ=4(∋+!Β−;!Θ∋−..Ω!_Τ?ϑ!! ! ! ! ! ! !
! Σ∗7=1(7%;+.∃∃∗10(Τ+ + ΗΙ+Υ∗1∗&%;+∋∗7=1(7%;+%/∃∗7∋/! +! 0ΜΤ!#∗+!?∗+∋(0+!#∋−!:7!4#∋!/6−!:0&&−./!5(:01−!(3−∋#/0∗&!.7./−5.!(∗!/6−!5#∋%−/Ω!∀−/;−−∗! /6−5!/6−7!−∗Α(7!(Ν−∋!πΟψ!5#∋%−/!.6#∋−Εγϑ!!Κ−.30/−!/6−!4#∃/!/6#/!?∗+∋(0+!5#%−.!)3!/6−! 5#Α(∋0/7!(4!/60.!3−∋∃−∗/#&−2!#!∃(55(∗!./∋#/−&7!#5(∗&./!+−Ν−1(3−∋.!0.!/(!/#∋&−/!0ΜΤ!#.!#! 3∋0(∋0/7!+)−!/(!/6−!∃(531−=0/72!/05−!#∗+!40∗#∗∃0#1!∃(./!(4!+−Ν−1(30∗&!4(∋!?∗+∋(0+!+)−!/(! +−Ν0∃−!4∋#&5−∗/#/0(∗Επ!∃()31−+!;0/6!/6−!4#∃/!/6#/!?331−!−∗Α(7.!#!5(∋−!:)(7#∗/!?33!Τ/(∋−ΥΦϑ! ι(∋!/60.!∋−#.(∗2!;−!/6()&6/!0/!3−∋/0∗−∗/!/(!/#∋&−/!0ΜΤ!+−Ν0∃−.!#.!#!+−Ν−1(35−∗/!3∋0(∋0/7!;0/6! #!Ν0−;!/(!+−Ν−1(30∗&!4(∋!?∗+∋(0+!0∗!/6−!4)/)∋−ϑ!ς6#/!.#0+2!;−!∃6(.−!/(!∋−Ν0−;!?∗+∋(0+!#.!;−11! #.!0ΜΤ!#33.!/(!&0Ν−!).!/6−!5(./!∋−3∋−.−∗/#/0Ν−!Ν0−;!(4!/6−!./#/−!(4!/6−!#∋/ϑ! ! ς6−!5(./!(:Ν0().!3(0∗/!4∋(5!/6−!#33.!∋−Ν0−;−+!0.!/6#/!/6−∋−!0.!#!5#..0Ν−!∋#∗&−!0∗!/6−! ∃(531−=0/7!(4!/−∃6∗0∃#1!0531−5−∗/#/0(∗.ϑ!ι∋(5!/6−!/6∋(;9#;#7!.05310∃0/7!(4!.(5−!#33.!.)∃6! #.!Μ∀∋,1∃:,02∃Λ#∗/−∋∗2!:7!Λ04−./171−2∃/(!/6−!5)∃6!5(∋−!60&617!#∃∃(5310.6−+!#∗+2!(∗−!;()1+! /60∗%2!Ν#1)−+!?74)%∃Ξ5%∋7−)%#∃(%6)∋∀2!:7!−>/∋−#5!Τ(4/;#∋−!Κ−Ν−1(35−∗/ϑ!Τ05310./0∃!#33.2! ;601./!/6−7!5#7!:−!4)∗!0∗!/6−!.6(∋/!/−∋52!1−∗+!/6−5.−1Ν−.!/(!:−0∗&!+0.3(.#:1−!0∗!/6−! 5−+0)5!/(!1(∗&!/−∋5!#.!0.!/6−!∃#.−!;0/6!/6−!#4(∋−5−∗/0(∗−+!Μ∀∋,1∃:,02∃:,#−∀+#ϑ!?∗(/6−∋! (:Ν0().!3(0∗/!0.!/6#/!#33.!;0/6!/6−!/−∃6∗0∃#1!4)∗∃/0(∗#10/7!+−.0∋−+!:7!/6−!()∗+,−)%#!!#33!+(! ∗(/!7−/!−=0./!4(∋!5(:01−ϑ!Π∗./−#+2!5#∗7!#33.!/()∃6!(∗!∋−1−Ν#∗/!#.3−∃/.!;601−!∗−&1−∃/0∗&! (/6−∋.ϑ!ς(&−/6−∋!/6−.−!#33.!&0Ν−!#!&((+!0∗+0∃#/0(∗!(4!/6−!.0&∗040∃#∗∃−!(4!/6−!/−∃6∗0∃#1!/#.%! /6#/!10−.!#6−#+ϑ!Τ0501#∋172!#33.!/6#/!+(∗!.)0/!/6−!#−./6−/0∃!(4!/6−!Χ0&∋#/0(∗.!#33!:)/!−=3(.−! #!/−∃6∗0∃#1!#∋∃60/−∃/)∋−!/6#/!5#7!:−!(4!).−ξ−ϑ&ϑ!/6−!)∗0+0∋−∃/0(∗#1!./∋−#50∗&!∃#3#:010/7!(4! >)#∗∃:)ϑ∀∃?∃>−,+∃:7!ι#5().!∀1)−!Χ−+0#!ΛςΚ2!#/!1−#./!4(∋!(∗−!(4!/6−!3∋−1050∗#∋7!0/−∋#/0(∗.!(4! /6−!#33ξ3∋(Ν0+−!#!∃−∋/#0∗!Ν#1)−ϑ!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Εγ
!ΠΚϕΩ!Τ5#∋/36(∗−!ΜΤ!Χ#∋%−/!Τ6#∋−ϑ!;;;ϑ0+∃ϑ∃(5ϑ!?Ν#01#:1−!#/Ω!6//3Ω[[;;;ϑ0+∃ϑ∃(5[3∋(+.−∋Ν[.5#∋/36(∗−9(.9 5#∋%−/9.6#∋−ϑΑ.3!β?∃∃−..−+!Ψ)17!ΓΗ2!ΕΦΓΗχϑ! Επ !Κ∋−+&−2!Τϑ2!ΕΦΓΥϑ!Π4!?∗+∋(0+!0.!.(!3(3)1#∋2!;67!#∋−!5#∗7!#33.!./011!∋−1−#.−+!4(∋!0ΜΤ!40∋./]!ς6−!)#∋+0#∗ϑ! ?Ν#01#:1−!#/Ω!6//3Ω[[;;;ϑ/6−&)#∋+0#∗ϑ∃(5[/−∃6∗(1(&7[#33.:1(&[ΕΦΓΥ[#)&[ΓΟ[#∗+∋(0+9Ν90(.9#33.9#331−9&((&1−! β?∃∃−..−+!Ψ)17!ΓΗ2!ΕΦΓΗχϑ! ΥΦ !α67!Κ−Ν−1(3−∋.!Θ∋−4−∋!?331−!ΜΝ−∋!((&1−ϑ!ς6−!Τ/∋−−/ϑ!?Ν#01#:1−!#/Ω! 6//3Ω[[;;;ϑ/6−./∋−−/ϑ∃(5[./(∋7[ΓΕθΟπΥΗΦ[Γ[;679+−Ν−1(3−∋.93∋−4−∋9#331−9(Ν−∋9&((&1−ϑ6/51!β?∃∃−..−+!Ψ)17!ΓΗ2! ΕΦΓΗχϑ!
!! ς6#/!.#0+2!/6−!053(∋/#∗∃−!(4!&−//0∗&!/6−!∃(531−/−!3#∃%#&−!∃(∋∋−∃/!0.!#1.(!∃1−#∋ϑ!?!&((+!#33! /6#/!1#∃%.!#∗!−=3−∃/−+!4−#/)∋−ξ#.!0∗!/6−!∃#.−!(4!∆5∀+476!;0/6!0/.!1#∃%!(4!#!8:()∗∃−%7#4∃:,6∃:7!Μ)/−∋!Λ050/.∃(∋∃Β/∃>%7#4∃:7! ς)∃)Κ∋(0+ϑ!ι)∋/6−∋5(∋−2!4∋)./∋#/0(∗!#∋0.−.!4∋(5!∃(531−=!0531−5−∗/#/0(∗.!/6#/!#∋−!:)&&7!(∋! +(!∗(/!;(∋%!#.!;−11!#.!(∗−!;()1+!10%−2!0ϑ−ϑ!?)+Γ%1!(∋!/6−!Ι,∋ϑ)#∗∃<,++%−∃;0/6!0/.!.(5−/05−.! 0∗#∃∃)∋#/−!36∋#.−!+−/−∃/0(∗ϑ! !! ς6−!1#/−./!0Θ6(∗−.!!#∗+!#1.(!/6−!1#/−./!?∗+∋(0+!+−Ν0∃−.!#∋−!:#.0∃#117!∃(53)/−∋.!(4!.):./#∗/0#1! 3(;−∋ϑ!ς60.!3(;−∋!0.!−∗6#∗∃−+!:7!/6−0∋!5(:010/7!#∗+!/6−!0∗∃1).0(∗!(4!−5:−++−+!.−∗.(∋.!/6#/! #11(;!4(∋!/6−!+−/−∃/0(∗!(4!5(Ν−5−∗/2!3(.0/0(∗!#∗+!:−#∋0∗&2!∗(/!/(!5−∗/0(∗!#)+0(!#∗+!05#&−! ∃#3/)∋−ϑ!?33.!.)∃6!#.!/+%2%29%#∀∃.6(;!6(;!/6−!∃(∋∋−∃/!).−!(4!/6−.−!8−=/∋#9%74)%∃(∋!Ε%)3∀!∃#∋−!−=#531−.!(4!#33.!/6#/!5#%−!&((+!).−!(4!1(∃#/0(∗!.−∋Ν0∃−.!#Ν#01#:1−!(∗! /6−!0Θ6(∗−ϑ!∴(;−Ν−∋2!#/!/6−!.#5−!/05−2!/6−.−!#33.!60&610&6/!#!3(/−∗/0#1!(Ν−∋.0&6/!(4!/6−! +−Ν−1(3−∋.!0∗!/6−0∋!+−∃0.0(∗!/(!∋−1−#.−!/6−!#33!&1(:#117ϑ!ς6−7!.05317!+(∗!6#Ν−!−∗()&6!).−∋.! /(!∃∋−#/−!/6−!).−∋!−=3−∋0−∗∃−!/6#/!/6−!+−Ν−1(3−∋.!5(./!10%−17!−∗Ν0.#&−+!+)∋0∗&!/6−! +−Ν−1(35−∗/!./#&−.ϑ!?!:−//−∋!./∋#/−&7!50&6/!:−!/(!∋−1−#.−!/(!#33!/(!+044−∋−∗/!/−∋∋0/(∋0−.!(∗! #∗!0∗∃∋−5−∗/#1!:#.0.2!;60∃6!0.!.(5−/60∗&!/6#/!+−Ν−1(3−∋.!+(!6#Ν−!∃(∗/∋(1!(4!Ν0#! 0ς)∗−.ϕ(∗∗−∃/ΥΓϑ! !! ι)∋/6−∋5(∋−2!0/<.!053(∋/#∗/!/(!:−!#;#∋−!(4!/6−!05310∃#/0(∗.!/6#/!/−∃6∗0∃#1!+−∃0.0(∗.!−∗/#01ϑ! ι(∋!−=#531−2!5#%0∗&!&∋#Ν0/7!#!4−#/)∋−!4(∋!>%7#4+%2!5#7!6#Ν−!5−#∗/!−=∃1)+0∗&!).−∋.!(∗!#∗! −#∋10−∋!Ν−∋.0(∗!/6#∗!0ΜΤ!θϑ!α601./!&∋#Ν0/7!5#7!∗(/!:−!(4!055−+0#/−!∃(∗∃−∋∗!/(!/6−!Χ0&∋#/0(∗.! #332!/6−!3(0∗/!./011!6(1+.ϑ!ϕ−∋/#0∗!4−#/)∋−.!(4!?331−<.!/−1−36(∗7!4∋#5−;(∋%2!4(∋!−=#531−2!#∋−! (∗17!#Ν#01#:1−!/(!).−∋.!(∗!0ΜΤ!θ!#∗+!#:(Ν−ϑ! !!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ΥΓ
!0ς)∗−.ϕ(∗∗−∃/!0.!#!∋−.()∋∃−!4(∋!0ΜΤ!+−Ν−1(3−∋.!/(!5#∗#&−!/6−!3):10∃#/0(∗!(4!?33.!(∗!/6−!?331−!?33Τ/(∋−ϑ!
Θ(/−∗/0#1172!/6−∋−!0.!5)∃6!∋−;#∋+!/(!:−!6#+!4∋(5!6−−+0∗&!/6−!/−∃6∗0∃#1!∗−−+.!#∗+! −=3−∃/#/0(∗.!(4!/6−!).−∋ϑ!Τ)∃∃−..4)1!0531−5−∗/#/0(∗.!∃#∗!1−#+!/(!Α(74)1!).−∋!−=3−∋0−∗∃−.2! ;60∃6!∃#∗!1−#+!/(!60&6!∋#/0∗&.2!;60∃6!0∗!/)∋∗!1−#+!/(!5(∋−!+(;∗1(#+.!#∗+!/6−!(Ν−∋#11!.)∃∃−..! (4!/6−!#332!#.!0.!/6−!∃#.−!;0/6!/6−!−=∃−11−∗/!?74)%∃Ξ5%∋7−)%#∃(%6)∋∀∃(∋!Ι+,ϑ−%+∃/Ψ∃#33.ϑ! !! Π∗!∃(∗∃1).0(∗2!0∗!(∋+−∋!4(∋!/6−!50&∋#/0(∗.!#33!/(!;(∋%!:09+0∋−∃/0(∗#1172!!0/!;011!∋−Ξ)0∋−!#! 50=/)∋−!(4!5(:01−!#∗+!0∗/−∋∗−/!/−∃6∗(1(&0−.2!#.!0.!/6−!∃#.−!(4!/6−!Λ(∃)./∋−#5!3∋(Α−∃/2!#∗+! (/6−∋!#33.!.)∃6!#.!Λ0Ν−Τ6()/!:#.−+!(∗!/6−!Π∃−∃#./!4∋#5−;(∋%ϑ!ς6−!).−!(4!Θ+!∆0ϑ−ϑ!10:3+Ι! ∃()1+!6−13!#∃∃−1−∋#/−!#∗+!−=3#∗+!/6−!+−Ν−1(35−∗/!3∋(∃−..ϑ! ! ΛΙ+∆ςΩςΒΕ≅ΞςΨΣ+Ε>+Ω∀ϑ≅+>ΧΨ!ΣϑΕΨ.ΒϑΣΖ+>Ε,+Σ[ς+ΞϑΥ,.ΣϑΕΨ?+.≅≅! ! α−!;−∋−!0∗/∋0&)−+!:7!/6−!λ(0∃−!(Ν−∋!Π∗/−∋∗−/!Θ∋(/(∃(1!∆λ(ΠΘΙ!.0∗∃−!0/!.−−5.!#!3∋05−! ∃#∗+0+#/−!4(∋!#!∃−∗/∋#1!/−∃6∗(1(&0∃#1!∋−Ξ)0∋−5−∗/!(4!/6−!Χ0&∋#/0(∗.!?332!0ϑ−ϑ!/6−!∗−−+!4(∋! 10Ν−!:09+0∋−∃/0(∗#1!#)+0(!./∋−#5.ϑ!λ(ΠΘ!0.!/6−!∗#5−!&0Ν−∗!/(!#!&∋()3!(4!/−∃6∗(1(&0−.!/6#/! #11(;!4(∋!5)1/095−+0#!∃(55)∗0∃#/0(∗!(Ν−∋!#!∗−/;(∋%!.)∃6!#.!/6−!Π∗/−∋∗−/ϑ!Π/!).−.!Ν#∋0().! −∗∃(+−![!+−∃(+−!3∋(/(∃(1.!/6#/!#11(;!4(∋!/6−!/∋#∗.3(∋/#/0(∗!(4!+#/#!.)∃6!#.!#)+0(!#∗+!Ν0+−(ϑ! ϕ(55)∗0∃#/0(∗!∃#∗!(∃∃)∋!(Ν−∋!;040!#.!;−11!#.!∃−11)1#∋!∗−/;(∋%.ϑ!ς;(!%−7!Ξ)−./0(∗.!;−∋−! +−Ν−1(3−+2!4(∃).0∗&!(∗!0ΜΤϑ!?∗!0∗0/0#1!4(∃).!;#.!31#∃−+!.(1−17!(∗!0ΜΤ!&0Ν−∗!/6#/!/6−!0∗0/0#1! 0531−5−∗/#/0(∗!(4!/6−!Χ0&∋#/0(∗.!?33!0.!0∗/−∗+−+!/(!:−!0ΜΤ!(∗17ϑ! ! Γϑ!
α6#/!#∋−!/6−!/−∃6∗(1(&0−.!∋−Ξ)0∋−+!/(!:)01+!#!λ(ΠΘ!#33!4(∋!0ΜΤ]!!
Εϑ!
ϕ#∗!λ(ΠΘ!:−!+−10Ν−∋−+!0∗!#!;#7!/6#/!#11(;.!4(∋!/6−!0∗/−&∋#/0(∗!;0/6!/6−!/−∃6∗(1(&0−.!
!
∋−Ξ)0∋−+!/(!#∃60−Ν−!/6−!(/6−∋!/−∃6∗0∃#1!&(#1.!(4!/6−!3∋(Α−∃/]! ! ! ⊥=#531−.!(4!λ(ΠΘ!3∋(/(∃(1.!0∗∃1)+−!∴ϑΥΕΥ2!Χ−+0#!#/−;#7!ϕ(∗/∋(1!Θ∋(/(∃(1!∆ΧϕΘΙ!#∗+! Τ−..0(∗!Π∗0/0#/0(∗!Θ∋(/(∃(1!∆ΤΠΘΙϑ!Λ#/−172!ΤΠΘ!6#.!#∃60−Ν−+!;0+−.3∋−#+!#+(3/0(∗!3#∋/17! :−∃#).−!0/.!.−∃)∋0/7!5−#.)∋−.!#∋−!.−−∗!0∗!#!4#Ν()∋#:1−!10&6/ϑ! ! ΛΙΗ+?∗//(∀1+ϑ1(∋(%∋(∀1+≅&∀∋∀7∀;+Φ?ϑ≅Γ! ! ς6−!ΤΠΘ!3∋(/(∃(1!+−40∗−.!/6−!5−..#&−.!/6#/!#∋−!.−∗/!:−/;−−∗!3−−∋.!(∗!#!∗−/;(∋%!4(∋!/6−!
∃(55−∗∃0∗&2!/−∋50∗#/0(∗!#∗+!(/6−∋!−..−∗/0#1!−1−5−∗/.!(4!∃#11.!.)∃6!#.!86(1+Υπϑ!ς6−.−!4∋#5−;(∋%.!∋−10−Ν−!/6−!+−Ν−1(3−∋!(4!/6−!∃(531−=0/0−.!(4!6#Ν0∗&!/(! 0531−5−∗/!/6−!ΤΠΘ!3∋(/(∃(1!0/.−14ϑ!∴(;−Ν−∋2!.0&∗040∃#∗/!+−Ν−1(35−∗/!/05−!;()1+!./011!:−! ∋−Ξ)0∋−+ϑ! ! Μ∗−!(4!/6−!5#0∗!#+Ν#∗/#&−.!(4!/6−!ΘΨΤΠΘ!4∋#5−;(∋%!0.!/6#/!0/!).−.!∗#/0Ν−!∃(∋−!#)+0(! /−∃6∗(1(&7!5−#∗0∗&!/6#/!#)+0(!./∋−#5.!.6()1+!:−!#Ν#01#:1−!4(∋!4)∋/6−∋!3∋(∃−..0∗&![!∋()/0∗&! #∗+!&−∗−∋#1!5#∗03)1#/0(∗ϑ!Μ∗!/6−!+(;∗.0+−2!0/!0.!;∋0//−∗!0∗!/6−!ϕ!3∋(&∋#550∗&!1#∗&)#&−2! 5−#∗0∗&!0/!;011!:−!1(;!1−Ν−12!∃(531−=!#∗+!∋−Ξ)0∋−!.0&∗040∃#∗/!−44(∋/!0∗!/−∋5.!(4!.−/)3ϑ!ς60.! ;()1+!#1.(!/730∃#117!5#%−!0/!1−..!#∃∃−..0:1−!/(!0ΜΤ!+−Ν−1(3−∋.2!;6(!#∋−!5(∋−!#∃∃)./(5−+!/(! +−Ν−1(30∗&!0∗!/6−!Μ:Α−∃/0Ν−9ϕ!3∋(&∋#550∗&!1#∗&)#&−ϑ!Τ/0112!.(5−!Μ:Α−∃/0Ν−9ϕ!;∋#33−∋.2!0ϑ−ϑ! 60&6−∋!1−Ν−1!#:./∋#∃/0(∗.!:)01/!(∗!/(3!(4!ϕ2!+(!−=0./2!.)∃6!#.!&(..032!;60∃6!;()1+!∋−10−Ν−!.(5−! (4!/6−!−44(∋/!∋−Ξ)0∋−+ϑ! ! 0+():.!0.!#∗!Μ:Α−∃/0Ν−9ϕ!;∋#33−∋!:)01/!#∋()∗+!/6−!+():#∗&(ΗΦ!4∋#5−;(∋%2!;60∃6!0.! +−Ν−1(3−+!0∗!ϕϑ!ς60.!3∋(50.−.!:−//−∋!.)33(∋/!4(∋!/6−!Μ:Α−∃/0Ν−9ϕ!+−Ν−1(3−∋!.0∗∃−!0/<.! 5#0∗/#0∗−+!:7!/6−!+−Ν−1(3−∋.!(4!0+():.2!∋#/6−∋!/6#∗!#!/60∋+!3#∋/7ϑ!_.0∗&!0+():.2!0/!.6()1+!:−! 3(..0:1−!/(!∗!#∃∃−..!/(!#)+0(!./∋−#5.!4(∋!4)∋/6−∋!3∋(∃−..0∗&![!∋()/0∗&!−/∃ϑ!ς60.!4∋#5−;(∋%! 0.!Ξ)0/−!#+Ν#∗∃−+!ΗΓ!#∗+!0.!./011!)∗+−∋!#∃/0Ν−!+−Ν−1(35−∗/ϑ!Π∗!#++0/0(∗2!/6−!.()∋∃−!∃(5−.!;0/6! #∗!−=#531−!3∋(Α−∃/!;60∃6!+−5(∗./∋#/−.!#)+0(![!Ν0+−(!∃#110∗&!∃#3#:010/0−.ϑ!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ΥΟ
!ΘΨΤΠΘ!9!Μ3−∗!Τ()∋∃−!ΤΠΘ2!Χ−+0#2!#∗+!Β?ς!ς∋#Ν−∋.#1!Λ0:∋#∋7ϑ!?Ν#01#:1−!#/Ω!6//3Ω[[;;;ϑ3Α.03ϑ(∋&[!β?∃∃−..−+!Ψ)17! ΓΥ2!ΕΦΓΗχϑ! ! Υε !0+():.!9!ΤΠΘ[ΠΧΤ!λ0+−(Θ6(∗−!4(∋!0ΜΤ!∆0Θ6(∗−2!0Θ#+!#∗+!0Θ(+!ς()∃6Ι!#∗+!Χ?ϕ!ΜΤ!>!9!((&1−!Θ∋(Α−∃/!∴(./0∗&ϑ! ?Ν#01#:1−!#/Ω!6//3Ω[[∃(+−ϑ&((&1−ϑ∃(5[3[0+():.[!β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! ! Υθ !Λ0∗36(∗−2!(3−∗9.()∋∃−!Ν(03!.(4/;#∋−!ζ!Λ0∗36(∗−2!#∗!(3−∗9.()∋∃−!Ν0+−(!.03!36(∗−ϑ!?Ν#01#:1−!#/Ω! 6//3Ω[[;;;ϑ10∗36(∗−ϑ(∋&[!β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! ! Υγ !∴(5−!{!3δ0(∗[50)50)!α0%0!{!0/∴):ϑ!?Ν#01#:1−!#/Ω!6//3.Ω[[&0/6):ϑ∃(5[3δ0(∗[50)50)[;0%0!β?∃∃−..−+!Ψ)17!ΓΥ2! ΕΦΓΗχϑ! ! Υπ !Π?>!9!Ν(0390∗4(ϑ(∋&ϑ!?Ν#01#:1−!#/Ω!6//3Ω[[;;;ϑΝ(0390∗4(ϑ(∋&[;0%0[Ν0−;[Π?>!β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! ! ΗΦ !+():#∗&(!9!(3−∗!.()∋∃−!ΥΘΘ!ΠΧΤ[Λς⊥!4∋#5−;(∋%!4(∋!−5:−++−+!.7./−5.ϑ!?Ν#01#:1−!#/Ω!6//3Ω[[+():#∗&(ϑ(∋&[! β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! ! ΗΓ !?.!(4!Ψ)17!ΕΦΓΗ!0+():.!0.!(∗!Ν−∋.0(∗!ΕϑΦϑ!
! Κ)−!/(!0/!:−0∗&!(3−∗!.()∋∃−2!10∗36(∗−2!10%−!0+():.!#∗+!ΘΨΤΠΘ2!.6()1+!&0Ν−!/6−!+−Ν−1(3−∋! #∃∃−..!/(!)∗+−∋170∗&!#)+0(!./∋−#5.ϑ!ς6−!+−Ν−1(3−∋.!−Ν−∗!3∋(Ν0+−!#∃∃−..!/(!#!4∋−−!ΤΠΘ!.−∋Ν−∋9 .0+−!.−∋Ν0∃−!;60∃6!∃10−∗/.!∃#∗!∋−&0./−∋!#∗+!0∗/−∋4#∃−!;0/6!/(!#11(;2!0∗!/6−(∋72!4(∋!/6−!−#.7! #//#0∗5−∗/!(4!.−∋Ν−∋95−+0#/−+!∃(55)∗0∃#/0(∗!:−/;−−∗!+−Ν0∃−.2!;60∃6!0.!/6−!0+−#1!5−#∗.!(4! −./#:10.60∗&!∃(55)∗0∃#/0(∗!.−..0(∗.ϑ! ! ! Β(7∗1/(1Ο+7∀1/(0∗&%∋(∀1/! ! Π∗!∃6((.0∗&!#!4∋#5−;(∋%2!0/<.!053(∋/#∗/!/(!∃(∗.0+−∋!/6−!10∃−∗.−.!;0/6!;60∃6!/6(.−! 4∋#5−;(∋%.!#∋−!∋−1−#.−+ϑ!ι(∋!−=#531−2!∃−∋/#0∗!10∃−∗.−.2!.)∃6!#.!/6−!ΘΛ!10∃−∗.−2!5#7!:−! 0∗∃(53#/0:1−!;0/6!/6−!∗−−+.!(4!/6−!3∋(Α−∃/!#∗+![!(∋!?331−<.!(;∗!/−∋5.!#∗+!∃(∗+0/0(∗.! ∋−.)1/0∗&!0∗!∋−Α−∃/0(∗!(4!/6−!#33!4∋(5!/6−!?33!Τ/(∋−ϑ!! ! ! .∃∃;∗+∆∀7Κ#∗1∋%∋(∀1! ! ?331−!3∋(Ν0+−.!.(5−!.3−∃040∃!&)0+−10∗−.!/(!+−Ν−1(3−∋.!(4!λ(ΠΘ!#33.2ΗΕ2ΗΥϑ! ! ! ∆∗)∗;∀∃#∗1∋+Σ(#∗+!∀1/(0∗&%∋(∀1/! ! Π/<.!−./05#/−+!/6#/!/6−∋−!;()1+!:−!.0&∗040∃#∗/!+−Ν−1(35−∗/!/05−!∋−Ξ)0∋−+!4(∋!#!+−Ν−1(3−∋! ∗−;!/(!λ(ΠΘ!#33.ϑ!Χ)∃6!/05−!;()1+!∗−−+!/(!:−!.3−∗/!)∗+−∋./#∗+0∗&!/6−!)∗+−∋170∗&! 3∋(/(∃(1.!#∗+!.3−∃040∃#/0(∗.ϑ!Π/!0.!#1.(!#∗/0∃03#/−+!/6#/!5#∗03)1#/0∗&!#)+0(!./∋−#5.!3∋(Ν0+−+! :7!/6−!(3−∗!.()∋∃−!4∋#5−;(∋%.!5−∗/0(∗−+!#:(Ν−2!0∗!#!;#7!∃(∗.0+−∋−+!).−4)1!/(!/6−!−∗+! &(#1.!(4!/6−!Χ0&∋#/0(∗.!#332!;()1+!∋−3∋−.−∗/!#!.0&∗040∃#∗/!∃6#11−∗&−!+)−!/(!/6−!4#∃/!/6#/! /6−.−!4∋#5−;(∋%.!;−∋−!∗(/!+−Ν−1(3−+!;0/6!.)∃6!4)∗∃/0(∗#10/7!0∗!50∗+2!#∗+!/6−!∃(531−=0/7!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ΗΕ
!?∗(∗2!0ΜΤ!?33!Θ∋(&∋#550∗&!)0+−Ω!?+Ν#∗∃−+!?33!ς∋0∃%.ϑ!?Ν#01#:1−!#/Ω! 6//3.Ω[[+−Ν−1(3−∋ϑ#331−ϑ∃(5[10:∋#∋7[0(.[+(∃)5−∗/#/0(∗[0Θ6(∗−[ϕ(∗∃−3/)#1[0Θ6(∗−ΜΤΘ∋(&∋#550∗&)0+−[?+Ν# ∗∃−+?33ς∋0∃%.[?+Ν#∗∃−+?33ς∋0∃%.ϑ6/51|[[#331−ϖ∋−4[+(∃[)0+[ςΘΗΦΦΦθΦθΕ9ϕ∴θ9ΤαΓΕ!β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! ! ΗΥ !?∗(∗2!ϕ(∋−!ς−1−36(∗7!ι∋#5−;(∋%!φ−4−∋−∗∃−ϑ!?Ν#01#:1−!#/Ω! 6//3.Ω[[+−Ν−1(3−∋ϑ#331−ϑ∃(5[10:∋#∋7[0(.[+(∃)5−∗/#/0(∗[Β−/;(∋%0∗&Π∗/−∋∗−/[φ−4−∋−∗∃−[ϕ(∋−ς−1−36(∗7ι∋#5−; (∋%φ−4−∋−∗∃−[ϖ0∗+−=ϑ6/51|[[#331−ϖ∋−4[+(∃[)0+[ςΘΗΦΦΦπεΦΥ!β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! !
(4!/6−!)∗+−∋170∗&!0531−5−∗/#/0(∗.!5#%−.!/6−5!:∋0//1−!0∗!/6−!4#∃−!(4!#+#3/#/0(∗ϑ!! ! ∴(;−Ν−∋2!#1/6()&6!#!.−∋Ν−∋!.0+−!∃(53(∗−∗/!0.!0+−#117!∋−Ξ)0∋−+2!0/!.−−5.!/6#/!.)∃6!.−∋Ν0∃−.! #∋−!#1∋−#+7!0∗!−=0./−∗∃−2!/6()&6!.(5−!5#7!∋−Ξ)0∋−!#!4−−ΗΗϑ!ς60.!.6()1+!5−#∗!/6#/! +−Ν−1(35−∗/!(4!/6−!Χ0&∋#/0(∗.!?33!;()1+!:−!3(..0:1−!;0/6!Α)./!0ΜΤ!+−Ν−1(3−∋.ϑ!?/!/60.! 3∋−1050∗#∋7!./#&−!(4!0∗Ν−./0/0(∗2!+−Ν−1(35−∗/!/05−!4(∋!/6−!Χ0&∋#/0(∗.!?33!;()1+!:−! −./05#/−+!#/!π!ω!ΓΕ!5(∗/6.ϑ! !
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ΗΗ
!?∗(∗2!∴(./−+!Θ6(∗−!Τ7./−5.!ζ!λ0∋/)#1!Θ∀>!4(∋!7()∋!∀).0∗−..!ζ!φ0∗&ϕ−∗/∋#1ϑ!?Ν#01#:1−!#/Ω! 6//3Ω[[;;;ϑ∋0∗&∃−∗/∋#1ϑ∃#[!β?∃∃−..−+!Ψ)17!ΓΥ2!ΕΦΓΗχϑ! !