C ap ¤itulo B ¤usquedade redesalternati`asal circuito monosin
Anuncio
!" # &$ %(')%+*-,/.1032546*-78%9,;:<,;=?>@0(ACDB 78EF=G%3HFIJ=K0L,NM?4G*O78,P:Q>;4G09RQ,/EQ:Q0+>;%J:Q,SM?4T%JB :U,SM?>;46780(RQ%JVW09'X%J:Q%J*-4G:Y0(B A?784G>;0
Z[EF,;V-7W,\,P:]7WVW,URF%J*9:Q,PEQVW%(:10(*<^[_a`cbd_feNgY*-,\VW,N2J,P=K0hAi%JVL=K0)%(jQ*W,PV-2k0(>;4@%JB :lRF,\>;%(VWVW,P=K0(>P4T%JB :d,;:m7WVW,U=G0(*
0k>P784n254GR10(RF,;*+RQ,U0('Uj10(*Poqpr:s,P*-78,U7W4GAi%hRQ,<>P%J:Q,SMF46%J:Q,P*;I,;=>;%JV-VW,P=G%JtJVW0(')0)>;V-EQu@0kRQ%vRQ,URQ46*WA10(V-%J*
AFVW,;*-,;:m7w0LEQ:10(*>;0(V80(>N78,PV@DB *O7846>@0(*x7@DB AQ46>@0(*xy5EF,z*-,rVW,;*-EQ'X,;:q,;:q=K0/AQV-,;*W,P:Q>;4G0LRF,zEF:qAF4G>;%Y*-4GtJ:Q4n{1>@0|78462(%
RF,;*WAF=K0(u;0(RQ%}0=G0~RF,;VW,P>w.10RQ,s>P,;VW%}RQ,;jF4GRQ%}0=G0=K0k7W,;:Q>P4K0*W46:Y0(B AF7W4G>;0Fop#:,;=>@0kADB 7WEQ=G%~H~*W,
0k:10(=G46u@0(V-%J:=G%J*Z0(>P7W%JVW,P*){1*-4G%J=@%JB tJ46>;%J*y]EQ,l46:F1EFb(,;:
,P:
=K0s>@0(VW0(>P7W,;VW46u@0(>P4T%JB :}RQ,;=L>;%(VWVW,P=G%Jt(V80(')0
'X%J:Q%(*W4G:c0(B AF7846>;%Qo
%JV%(78V-%=K0(RQ%FIz,P:}=G0*W,P>;>;4@%JB :Jo?oHRQ,P=cAQVW46'),PVU>@0kADB 7WEQ=G%*-,vAQVW,P*W,;:m71%"B EQ:10.Q46AY%(B 7W,;*W46*<RQ,
AQ0(V-7W4GR10qA10(V80,;*-7W,978VW0(j10-%F=K0qAf%J*-4GjQ=6,3,SM?4G*-7W,;:Q>P4K0\RF,978%JAi%J=6%Jt1DB 0k*#RQ,+VW,PRv0(=67W,;V-:10k784n2k0(*ry5EF,+RQ,;:
>P%J'X%lVW,P*WEQ=n7w0(RF%=G0l0(A10kVW4G>P4T%JB :l
,;:m78V-,hA10(V-,;*RQ,):F,;EQV-%J:10(* RQ,)>;%JV-VW,;=G0(>;46%J:Q,P*qRF,0(>N78462546R10(R
*-4G'X4G=G0(VW,P*&0U=G0(*/y]EQ,*W,%(VW4Gt(4G:10(:),;:vEQ:10U>P%J:Q,SMF4@%JB :v')%(:Q%J*W46:Y0(B AF7W4G>;0FI]Af,PVW%<,;:d0(EF*W,;:F>;4K0<RQ,l,PB *-780Fo
46>w.Q%RQ,h%(78VW0Z[%JVW')0FI,;*-780.Q4GAc%(B 78,P*W4G*\AQ=K0(:m7W,@0l=G0Ai%J*W46jQ4G=64GR10(RRQ,y]EQ,hRQ,P7W,;VW'X4G:Q0(RQ%J*U>P4GV->;EQ4
7W%J*\y]EQ,h:Q%4G:F>;=GE?bJ,;:"EQ:10l>P%J:Q,NM?4@%JB :')%(:Q%J*W46:Y0(B AF7W4G>;0v,P:m78VW,hRQ%J*U:Q,PEQVW%(:10(*UAQEFRQ4G,PV80(:%(VW4Gt(4G:10(V
>P%JVWV-,;=6%JtJV80k'h0(*&>;%J:d=K0(*c'X4G*-'h0k*/>@0(VW0(>P7W,;V;DB *-7W4G>;0(*cy]EQ,,;=>;%(VWVW,P=G%Jt(V80(')0U')%(:Q%J*W46:Y0(B AF7W4G>P%Qo
p#:,;=i>@0kADB 7WEQ=G%U*W,3.10(:0(:Q0(=G46u@0(RQ%q>;46VW>PEQ467W%J*&>P%J:EQ::9EFB '),PVW%\V-,;RQEF>;4GRF%URQ,+:Q,PEQVW%(:10(*&AQ0(V80
Ai%5RQ,;V,;*O78EQRF4K0(VX=K0(*<RF46Z[,;V-,;:Q>P4K0(*,P:=K0k*X>P%JVWV-,;=G0(>;46%J:Q,;*<,SM?4G*-7W,;:m78,P*,;:,;*O78%J*)>;46VW>;EF4678%(*<VW,;*-Af,P>N
7W%"0s=K0>P%JVWV-,;=K0k>;4T%(B :RQ,l0k>P784n254GR10(RF,;*RQ,v_a`\b~_xeX,;:EF:}>P4GVW>PEQ467W%s')%J:F%J*W46:Y0(B AF7W4G>;%,SM?>;46780(RQ%JVPo
5,U,;'XAQ=G,;0(VW%(:l*W46:10(AQ*-4G*34G:Q.Q46jQ4GRF%JV80(*Yb,NM?>;4n7w0(RQ%(V80(*3A10(V9RQ0(V+=GEFtm0(V30h>;46VW>;EF4678%(*3>P%J:RQ46Z[,PVW,P:]7W,;*
>P%J:F{1t(EQV80(>P4G%J:F,;*X,;:>;E10(:m7W%0(=/>P%J:Q,SMF46%J:10(RF%,P:]7WVW,dRQ462(,;V-*W%J*)tJVWEQAi%J*RQ,v:Q,PEQVW%J:Q0(*;opr:>@0k*W4
7W%?RF%J*=G%J*>@0k*W%J*0(:10(=64Gu;0(RQ%J**-,),P:Q>;%J:m7WV80(V-%J:CIa,;:"')0@bJ%JV%d'),P:Q%JVtJVW0(RQ%QIRQ4nZ[,;VW,P:Q>;4G0(**W46tJ:Q46{?
>;0k784n2k0(*Uy]EQ,vAf,PVW'X467@DB 0(:RF4G*-7W4G:Qt(EQ4GVq>;%J:>;=G0(VW46R10(R=G0lAQV-,;*W,P:Q>;4G0%0(EF*W,;:F>;4K0RQ,EF:10>;%J:Q,SM?4T%JB :
'X%J:Q%(*W4G:c0(B AF7846>@0<,NM?>P467w0kRQ%JV80X,;:m78V-,URQ%J*3:Q,;EFVW%J:10k*;o 0(VW0),;=a>@0k*W%A10kV-7846>;EQ=G0(VcRQ,EQ:>;46VW>PEQ467W%)RQ4
*-4G:Y0kB AF7846>;%,NM?>P467w0kRQ%JV;I*-,')%J*O78VQ%B =K0Ai%J*W46jQ4G=64GR10(RRQ,')%5RQ4n{1>@0(V3=G%J*32(0k=G%JV-,;*RQ,<=6%J*A10(VQ0(B '),N78V-%J*
THJ
@ m
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
RQ,;=a')%5RQ,P=G%RQ,\:F,;EQV-%J:10
,;*WAi,;>P4K0(=6'),P:m78,=G%J*LVW,P=K0k7W462(%J*L0(=>;EQV-*W%h7W,;'XAf%JVW0(=RQ,q=G%J*3p IC0k*@DB
>;%J'X%=G0d=G0k78,P:Q>;4G0d*-4G:Y0kB AF7846>@0 A10kV80>P%J:Q*-,;tJEQ46V>P%JVWV-,;=6%JtJV80k'h0(**-4G'X4G=G0(VW,P*0=G%(*q%(jF78,P:Q4GRQ%(*,P:
>;%J:Q,SM?4G%J:Q,P*')%J:F%J*W46:Y0(B AF7W4G>@0k*\,NM?>P467w0kRQ%JV80k*;o"³3RQ,;'0(B *PIz*-,,;*O7w0(jQ=6,;>P4T%B >;%(')%.Q46AY%(B 7W,;*W46*<=K0lAi%J*-4n
jQ4G=64GR10(RvRQ,>;%J:F*W,;t(EQ4GV3VW,;*-EQ=6780(RQ%J*L*W46')46=K0(V-,;*c'X,;RQ4G0(:m78,q,;=a,;*O7w0(jQ=6,;>P4G'X4G,;:m7W%)RQ,>;%J:?{1tJEQVW0(>;46%J:Q,;*
AQVW,P>;4G*W0(*RQ,v=G%J*UZ0k>P78%(VW,;*<{1*-4G%J=@%JB tJ46>;%J*URF,d%k78VW%(*<>;4GV->;EQ4n78%J*<Ai%J=64G*W46:Y0(B AF7W4G>P%J*\RQ,v=6%J:QtJ4n78EQR')0@bJ%JV
0(=/RQ46*W4G:c0(B AF7846>;%Qo´a0RQ4nZ[,;V-,;:Q>P4K0Z[EQ:QR10k'),P:]780(=/,P:]7WVW,d=G%J*<>P%JVWV-,;=6%JtJV80k'h0(*\%JjF78,P:Q4GRF%J*<>;%J:,;*O78%J*
>;4GV->;EQ4n78%J*bU,;=Q>P%JVWV-,;=G%(tJV80(')0+'X%J:Q%J*-4G:Y0(B A?784G>P%QI(VW0(RQ46>@0,;:X=K0+Ai%J*W46>;4@%JB :<RQ,;=1AF4G>;%F'0(B *#RQ,;*-AQ=K0ku@0(RQ%
0=G0<RQ,;V-,;>w.10X,;:d=K0(*/>P%J:Q,SMF46%J:Q,P*3Ai%J=G46*W46:Y0(B AF7W4G>@0k*;o
%JV#%(7WVW%=K0kRQ%QIk780('UjQ4N,;B :<,P:X,P=Q>@0kADB 7WEQ=G%+FIJ*W,Y>;%('),P:]71%B >%JB 'X%A10(VW0+EQ:<>;46VW>PEQ467W%>;%J:<,P:]7WV80(RQ0
>;%J'EQB :",SMF>P46780(RQ%JVW00(*W46'~,NB 78V-4G>@0^')0@bJ%JV:+EQB 'X,;VW%RQ,*-4G:10(AF*W4G*,;:EQ:Q0lV80(')0RF,;=&>P4GV->;EQ4n78%ly]EQ,
,;:%(78VW0mg),P*dAi%J*-4GjQ=6,l>;%(:Q*W,PtJEQ4GVEF:10>;%J:F{QtJEQV80k>;4T%(B :RF,A10(V10kB '),N78VW%(*h{1*W46%J=T%(B tJ4G>P%J*hy]EQ,s0(V-VW%|W0
EQ:>;%JV-VW,P=G%JtJVW0(')0)'UEFbl*W46')46=K0(VY0(=')%(:Q%J*W46:Y0(B AF7W4G>P%h,NM?>P467w0kRQ%JV;op#=>P%JVWV-,;=G%(tJV80(')0h0k*@DB %(jF78,P:Q4GRQ%
AQVW,P*W,;:m780EQ:AQ4G>P%v>;%J:Af%(*W4G>P4T%JB :xIx7846,;'XAf%RQ,*-EQjQ4GRQ0vbs0k:Q>w.]EQV80v*W46')46=K0(V-,;*+0k=#')%J:F%J*W46:Y0(B AF7W4G>;%Fo
µ %%JjF*-7w0k:]7W,(I=6%J*32k0(=6%JVW,P*9RQ,U,N{1>@0k>;4K0hb>;%(:]7WVW46jQEQ>;4@%JB :RQ,<=G0(*9*-4G:10kAQ*W46*9RQ,P=>;46VW>PEQ467W%0(:10(=64Gu;0(RQ%
VW,;*-EQ=6780(VW%(:*-EQAi,;VW46%JVW,P*X0=6%J*<'),PRQ4GRF%J*<,;:>;%J:F,NM?4G%J:F,;*XRQ,v=K02fDB 0254G*WEQ0(=¶Ir=G%>PE10(=-EQ*O7846{Q>@0=K0
4G'XAf%J*-4GjQ46=G46R10(RURQ,3,;:Q>P%J:m78VW0(V&,P*-78,3784GAi%qRQ,9>P%J:F{1tJEFV80(>P4G%J:Q,P*&,P:,;=i*W46*-78,P'h0254G*WEQ0(=¶o³9RQ,P'·0(B *PIFEQ:
')%5RQ,;=G0(RQ%'0(B *¸V-,@0(=64G*O7w0RQ,;=]¹Sº¼»»¾½N¿RQ,Y78VW0(:Q*W'X4G*-4T%JB :X*W46:Y0(B AF7W4G>;0FIm*W,Pt/EQB :hEQ:Q0RQ46*-78V-4GjQEF>;4T%(B :):Q%(VW')0(=
RQ,U=K0|78,;:F>;4K0k*;If0(EQ'X,;:m7w0(jQ0=G4Gt(,;V80k'),P:]7W,=G0(*LRQ46Z[,PVW,;:F>;4K0k*+RQ,;=>;%JV-VW,P=G%JtJVW0(')0XRQ,\,;:m78VW0(R10>;%('EQB :
>;%J:d,;=>P%JVWV-,;=G%(tJV80(')0\'X%J:Q%J*-4G:Y0kB AF7846>;%U,SMF>P46780(RQ%JVPo
,¸,;*O78,/.Q,P>w.Q%*W,/>P%J:Q>P=GEFb(,/y]EQ,(IJAQ0(V8037W%?RF%J*=6%J*>P4GVW>PEQ467W%J*0(:10(=64Gu@0kRQ%J*a,;:U,P=F>@0kADB 7WEQ=G%LQIJ*Q%JB =G%
,;:d0(=Gt(EQ:Q%J*c>P4GVW>PEQ467W%J*/Ai%J=G46*W46:Y0(B AF7W4G>;%(*¸,SMF>P46780(RQ%JV-,;*;IÀ0k*@DB >P%J')%<,P:v>;4GV->;EQ4n78%J*c>P%J:v,;:m78VW0(R10<>;%('EQB :
0(*W46'~,NB 78VW46>@0)^>P%J:>;%(:F{1tJEQVW0(>;46%J:Q,P*&>;%(:Q>;V-,P7w0k*/RQ,+=6%J*¸AQ0(V10(B 'X,P7WVW%J*8gNI5*W,PV@DB 0qAf%(*W4GjF=G,L>;%J:Q*-,;tJEF4GV&y]EQ,
=K0(*q0(>N78462546R10(RQ,P*RQ,X_a`9b_xe\,P*-7?,;B :>P%JVWV-,;=K0k>;4G%(:10(R10(*RQ,X')0(:Q,;VW0d*-4G'X4G=G0(V0v>;%J'X%=6%,P*-710(B :",P:
EQ:10l>P%J:Q,NM?4@%JB :"'X%J:Q%J*-4G:Y0kB AF7846>@0vRQ,h_`q0l_xe;o?46:",P'Uj10(V-tJ%QI,P:0('Uji%J*q>@0(*-%J*U*-,h,;:F>;%J:m78VW0(VW%(:
VW,;*O78V-4G>;>P4G%J:F,;*LjQ4G%J=@%JB tJ46>@0(*/y]EQ,4G'XAQ4GRF,;:v=K0X0(A10(V-4G>P4T%JB :vRQ,q,;*O78,7W4GAi%RQ,\>P%JVWV-,;=G%(tJV80(')0(*c,P:l=K0<2fDB 0
2?46*WE10k=¶o
p#:,P*-7W,h>@0kADB 7WEQ=G%d*W,)AQVW%(Z[EF:QRQ4Gu;0d'0(B *q,;:=G0dj9EFB *Wy]EQ,;RQ0lRQ,X>;%J:Q,SM?4G%J:10kRQ%J*U0k=678,PVW:10|78462(%J*q0(=
')%J:F%J*W46:Y0(B AF7W4G>;%v'X,;RQ4G0(:m78,X,;=r,;'XAQ=6,;%lRF,)'~,PB 7W%?RQ%(*\0(E?78%J'0kB 7846>;%J*y]EQ,),NM?AQ=G%(VW,;:,;=z,;*-A10(>;46%lRQ,
A10(V10kB '),N78VW%(*{1*-4G%J=@%JB tJ4G>P%J*b7W%JAf%(=T%JB tJ46>;%J*q,;:,SM578,;:F*W4T%(B :~bAQV-%(Z[EQ:QRQ46R10(RCo 0(V80,P=G=6%QI=6%lAQV-4G'X,N
VW%y5EF,"*W,:Q,P>;,;*-46780},;*dRQ,N78,;V-')46:10(Vv>;Ec0(B =G,P*d*-%J:Á=6%J*vA10(VQ0(B '),N78V-%J*v>;%J:Â'h0@bJ%(Vd46:Q>;46RQ,;:F>;4K0,P:
=K0>;%JV-VW,P=K0(>P4T%JB :RQ,d0(>N784n2?46R10(RQ,P*,;:m78V-,RQ%(*X:F,;EQV-%J:10(*Po 0(V80s>@0(RQ0EQ:F%RQ,d,;*O78%J*A10kV10(B 'X,P7WVW%J*
*W,;VQ0XB :F,;>;,P*80(V-4G%X>;%J:F>;VW,N7w0(VY,P=V80(:Qt(%)0kAQVW%JAF4K0(RQ%<RF,2k0(=6%JVW,P*c*W%JjFVW,,;=y]EQ,qVW,;0(=G46u@0(V/=G0Uj+EQB *Wy]EQ,PR10FI
>;%J:v%Jj5-,N78%XRQ,RQ,N78,;V-')46:10(V/=6%J*c=¶DB ')4n78,P*¸RQ,P=,;*-A10(>;46%RQ,j+EQB *Wy]EQ,PR10FozÃ3:Q0<2(,;uqRQ,P7W,;V-')46:10(RQ%J*c=6%J*
A10(V10kB '),N78VW%(*>;%J:'h0@bJ%(Va46:F1EQ,P:Q>;4G0c*W%JjQV-,¸=G0c>;%JV-VW,;=G0(>;4@%JB :RQ,z0(>P7W46254GRQ0(RQ,;*a0(*;DB >;%J'X%Y=G%J*VW0(:QtJ%J*RQ,
2(0k=G%JV-,;*Y0<,;*O78EQRQ4G0(V;I1RF,;ji,;V10B ,;*->;%Jt(,;VW*-,\EQ:d>;V-467W,;VW46%<y]EQ,Ai,;V-')4n7w0U>P%J')AQ0(V80(V&=K0(*c>;0(V80(>N78,PV@DB *O7846>@0(*
RQ,;=>;%JV-VW,;=6%JtJVW0('h0X')%(:Q%J*W46:Y0(B AF7W4G>P%),SMF>P46780(RQ%JV+>P%J:>;EQ0(=Gy]EQ46,;V9%k78VW%h>;%JV-VW,;=6%JtJVW0('h0?Ii,P*-780(jQ=G,P>;46,;:?
@Q
m© ª6ÄJª}®r§a® c ¤ c£¨ ±Å¯®z§®z¬ ¢f¡q ¤N¨Æ¯® ¢i¡ ° £¡ Ç ®9¥°¨Y¬
RF%l0(*;DB EQ:10v'),PRQ4GRQ0vRF,X=G0RQ4G*O7w0(:Q>P4K0,;:m7WVW,)0('Uji%J*;o %(V~EQB =n7846')%QIfj10(*Q0(B :QRQ%J*-,),P:",P*-78,X>;V-467W,;VW46%
b=G%J*A10(VQ0(B 'X,P78V-%J*+bVW0(:QtJ%J*RQ,2k0(=G%(VW,;**-,;=6,;>;>P4G%J:Q0(RQ%J*PI*-,XEF*80(VQ0B EQ:'~,NB 78%5RQ%d0(EF7W%J'·0|B 784G>P%RQ,
j9EFB *Wy]EQ,;RQ0)0(RF,;>;EQ0(RQ%0<=G0U>;%J'XAQ=G,-4GR10kR>;%J'XAQEF780(>;46%J:10(=fRQ,;=AQV-%JjQ=6,;')0AF=K0(:m78,;0(RQ%Qo
³3RQ,;'0(B *cRQ,+=G0(*/V-,;*-7WVW46>;>;46%J:Q,P*/jQ4G%(=T%JB tJ46>@0(*r,P:d=G0\,;=6,;>P>;4T%(B :RQ,=G%(*&V80k:QtJ%J*/RF,+2(0k=G%JV-,;*&AQ0(V80U=6%J*
AQ0(V10(B 'X,P7WVW%J*PI1RQ,;ji,;VQ0(B :l7W,;:Q,PVW*W,,;:>;EQ,P:]780)V-,;*-7WVW46>;>;46%J:Q,P*3>P%J')AFEF7w0(>P4G%J:Q0(=G,P*;IQ46')AQEF,;*-780(*LAf%JVY=G0(*
=64G'X46780(>;46%J:Q,;*Y78,P>;:Q%(=T%JB tJ46>@0(*3bRQ,;V-462k0(R10k*RQ,;=#>P%J*-7W,X>P%J'XAQEF7w0k>;4G%(:10(=,P*-7846'h0kRQ%A10(VW0v,P=#AQVW%5>;,P*W%
RF,Uj+EQB *Wy]EQ,PR10Fo$/0kR10)78%(Af%J=6%Jt1DB 0y]EQ,\*W,<0(:Q0(=G46u@0,;:,;=aAQV-%?>P,;*W%RF,\j9EQB *-y5EF,;R100(E?78%J'0kB 7846>@0^46:?
RF,;Ai,;:QRQ46,;:m78,P'),P:m78,dRQ,;=/',PB 7W%?RF%,;'XAQ=G,;0(RQ%]g4G'XAQ=G46>@0=G0lVW,;0(=G46u@0(>P4T%JB :"RQ,EQ:10*W46'UEQ=G0(>;4@%JB :"y]EQ,
V-,;>P%|W0=G0q0k>P784n254GR10(RRQ,L=K0k*#:Q,;EQV-%J:10(*zRQ,L=K0VW,PR)RFEQV80(:m7W,9EQ:XRQ,P7W,;V-')46:10(RQ%4G:m7W,;V-2k0(=6%RQ,L7W4G,P')Ai%
^[%<:+EQB 'X,;VW%RQ,+A10k*W%J*cRQ,9*W4G'\EQ=K0(>P4T%JB :1gNo´a0URFEQV80(>P4T%JB :hRQ,+>@0kR10U*W46'UEQ=K0k>;4T%(B :),P*-7w0kV10UB >;%(:QRQ4G>P4G%J:Q0(R10
Ai%JVr=K0:Q,P>;,;*-4GR10kRhRQ,LVW,P>;%JtJ,PV&,P=i:9EFB '),PVW%*WEF{Q>;4G,P:m78,9RF,3RQ46*WA10kVW%J*zy]EQ,3Ai,;V-')4n7w0%JjF7W,;:Q,PV¸>P%JVWV-,;=6%k
t(V80(')0(*Y*W46tJ:Q46{Q>@0k7W462J%(*;o&³ÅA10(VO7846VLRF,=G0)0(>N784n2?46R10(R^[7WVW,P:Q,;*3RQ,\RQ46*WA10kVW%]g/VW,P>;%Jt(4GR10,;:>@0(R10XEQ:10
RF,<,;*-780(**W46'UEQ=K0k>;4G%(:Q,;*+*-,<tJ,;:F,;V80kV10B EQ:s>;%JV-VW,P=G%JtJVW0(')0h>;V-EQu@0(RF%RQ,<RF4G*WAQ0(VW%J*RF,<=K0(*+:F,;EQV-%J:10(*
_`9bs_fe@Iy]EQ,)RF,;ji,;V10vB >;%k78,¾W0kVW*W,X>;%(:EQ:'X%?RQ,P=G%RQ,>P%JVWV-,;=G%(tJV80(')0'X%J:Q%J*-4G:Y0(B A?784G>P%,NM?>P467w0kRQ%JV
AQ0(V80v,;*O7w0(jQ=6,;>P,;Vq=K0RQ4G*O7w0(:F>;4K0,P:]7WVW,)0('Uji%J*;o ,;ji,X>;%J:Q*-4GRQ,PV80(V-*W,X,;=#>P%J*-7W,h>;%(')AQE?7w0(>P4G%J:10k=RQ,
>;0(R10UEQ:Q0\RQ,+,P*-7w0k*/*W46'UEQ=K0k>;4G%(:Q,;*rbh=6%J*&>C0(B =G>PEQ=G%(*¸Ai%J*-7W,;V-4G%JV-,;*/A10kV80\,P*-7w0kjQ=G,P>;,;V&=K0(*¸VW,;*O78V-4G>;>P4G%J:F,;*
>P%J'XAQEF7w0k>;4G%(:10(=G,P*/y]EQ,qRQ,;ji,;:v78,P:Q,;V-*W,q,;:l>PEQ,;:m780X,P:,P=AQVW%5>;,P*W%XRQ,j+EQB *Wy]EQ,PR10Fo
p#=CV-,;*WEF=67w0kRQ%<RQ,+,P*-7w0<j9EQB *-y]EQ,;R10<Ai%?RFV@DB 0q*W,PVc,NM?467W%J*W%QI?,;:v,;=f*W,P:]7W4GRQ%<RF,=G%5>@0(=64Gu@0kVzEF:10U>;%J:F,N
M?46%J:10(RQ%,NZ[,;>N78462(%bEQ:Q%J*+2k0(=6%JVW,P*9{1*-4G%J=@%JB tJ4G>P%J*9y]EQ,Ai,;V-')4n7w0(:0_`9bl_xeRQ46*WA10(VW0(V+RQ,')0(:Q,PV80
>P%JVWV-,;=G0(>;46%J:10(R10cRQ,rZ[%JV-'h0c*W46')46=K0(Vx03>P%J')%Y=6%3.10k>;,;:>;E10k:QRQ%9*-,¸>P%J:Q,P>P7w0k:U')%(:Q%J*W46:Y0(B AF7W4G>;0('),P:m78,(o
%JVc%(7WVW%U=G0(RQ%QI5*W4C=G0\j9EQB *-y5EF,;R10<:Q%<V-,;*WEF=67w0U,P:v=K0\=6%?>;0(=G46u@0(>P4T%JB :RQ,EQ:>P%J:Q,SMF46%J:10(RF%0(=67W,;VW:Q0k784n2J%
0k=1')%J:F%J*W46:Y0(B AF7W4G>;%,SM?>;46780(RQ%JVPIm*WEQAi%J:QRFV10\B 0k=Q'),P:Q%J*rEQ:)VW,PZ[EF,;VWuP%,P:)=G0RQ4GV-,;>;>P4T%JB :RQ,L=K0.Q46AY%(B 7W,;*W46*
>P%J:m78VW0(VW4G0FIQ,;*O78%X,;*PI1=K0<4G:Q,SM?4G*-7W,;:Q>P4K0<RQ,RQ46>w.10U78%JAi%J=G%(t1DB 0U0k=678,PVW:10|78462k0Fo
ÈÉTÊ ËÍÌ;ÎÏLÏ3Ð9ÒXÑ Ó Ô Î+Ì}ÎÕÖ×\Ï3Ð Ò Ô Î Ö×\ØUÑ× Ù Î9ÚØ Ò Õ
%JVEQ:=K0(RQ%FIC,;*q:Q,;>P,;*W0(VW46%d>P%J:Q>PVW,P780(Vy]E&,)B AQ0(V10(B 'X,P7WVW%J*+{Q*W4G%(=T%JB tJ46>;%J*34G:FQEFbJ,P:"RQ,<')0(:Q,PV80*W46tk
:F46{1>;0k784n2(0<,P:l=K0<>P%JVWV-,;=K0k>;4T%(B :dRF,0k>P784n254GR10(RF,;*;IÀRQ,N78,PVW'X4G:10(:FRQ%,;=>;%J:-EQ:m78%hRF,s,PB *-78%(*3y]EQ,qRQ,;ji,;:
46:Q>;=6EQ4GV-*W,,;:,;=,;*WAQ0(>;46%RQ,Uj9EQB *-y5EF,;R10FoÛY,;*WAi,;>N78%d0=G%(*9A10(VQ0(B 'X,P78V-%J*+RQ,\>;%J:Q,P>P7W46254GR10kRRQ,<VW,PRCI
RF,;ji,;V10kB :l78,P:Q,;V-*W,U,P:>;EQ,P:m7w00(*-Af,P>P7W%J*97w0k=G,;*Y>P%J')%),;=a:+EQB 'X,;VW%XRQ,:Q,;EQV-%J:10(*3RQ,\=G0XV-,;RCIi,;=aV80k:?
t(%RQ,Ai,;*W%(*<*W4G:c0(B AF7846>;%J*PI=K0:10k78EFV80(=6,;u@0^4G:F.Q4GjQ46RQ%JVW0d%,SMF>P46780(RQ%JVW0mgqRQ,h=K0(*U>P%J:Q,SMF46%J:Q,P*\b=6%J*
V-,P7WV80(*-%J*r*W4G:c0(B AF7846>;%J*Po ,c78%5RQ%J*#,P*-7W%J*¸AQ0(V10(B 'X,P7WVW%J*{Q*W4G%(=T%JB tJ46>;%J*abU78%(Af%J=@%JB tJ46>;%J*,;*r:Q,;>P,;*W0(VW46%>P%J:?
>PVW,N7w0(VPI1,;:dAQVW46'),PV/=GEQtJ0(V;I?=G%J*cVW0(:QtJ%J*cRF,2k0(=6%JVW,P*q^>P%(7w0<*WEFAf,PVW4G%(Vc,4G:FZ[,PVW4G%(Vwg¸y]EQ,*W,,P')AQ=6,@0(VQ0(B :
,P:~=K0lj9EQB *-y]EQ,;R10?op#:~>@0(R10*-4G'UEQ=G0(>;4@%JB :"RF,EQ:10VW,PRV-,@0(=64Gu;0(R10,P:~,;=/AQV-%?>P,;*-%RF,j+EQB *Wy]EQ,PR10FI
=6%J*cA10(VQ0(B 'X,P78V-%J*YRQ,;='X%5RQ,;=6%<RQ,:F,;EQV-%J:10y5EF,:Q%X*W,.10k:46:Q>;=6EQ4GRQ%<,P:l,P=,;*WAQ0(>;46%)RQ,j9EQB *-y]EQ,;R10
7W,;:QRFV10(B :)*W4G,P')AFVW,c*WEF*9ÜÝ2(0k=G%JV-,;*#Ai%JVrRQ,PZ[,P>P78%FÜ6orp#*-7W%J*r2(0k=G%JV-,;*#*W,LRQ,N78,;V-')46:10(V-%J:,;:h=G0*W,;>P>;4@%JB :Þ5oH
@ ]Þ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
RQ,;=>;0(ADB 7WEQ=G%XÞ5IQ,;'XAQ=G,;0(:QRQ%EQ:Q0XRQ46*-7WVW4GjFEQ>;4@%JB :v0(=G,;0k78%(VW4K0EQ:Q46Z[%(VW'X,+A10(VW0,P=VWEQ46RQ%*W46:Y0(B AF7W4G>;%Fo
p#:V-,;=K0k>;4T%(B :0h=G%(*9A10(VQ0(B 'X,P78V-%J*3{Q*W4G%(=T%JB tJ46>;%J*PIÀ,;:,;=>@0(ACDB 78EF=G%H*-,U>;%(:Q>;=6EFb&%B y5EF,(ICA10kV80EQ:10
>;%J:Q,SM?4T%JB :'X%J:Q%J*-4G:Y0(B A?784G>;09,NM?>P467w0kRQ%JV80?IJ,;*r,;=F>;EQV-*W%78,P')Ai%JV80k=FRQ,c=6%J*#p ,;=FZ0k>P78%(V>;%J:')0@bJ%JV
4G:F1EF,;:Q>P4K0c,;:=K0/>;%(VWVW,P=K0(>P4T%JB :RQ,z0(>N784n2?46R10(RQ,P*,;:m78V-,¸=G0/:Q,;EQV-%J:10LAQVW,P*W4G:c0(B AF7846>@0/b=G0YAi%J*O78*W46:Y0(B AF7W4G>;0Fo
³9EQ:Qy]EQ,:F%*W,.Q0l')%(*-78VW0(RQ%,;:,;*O78,,P*-7WEQRQ4G%l=K046:F1EQ,P:Q>;4G0lRQ,),;*-7W,Z0(>P7W%JVq,;:%(7WVW%l7W4GAi%RQ,
>;%J:Q,SM?4G%J:Q,P*;IQ=6%J*zVW,;*-EQ=6780(RQ%J*¸%JjF7W,;:Q46RQ%J*/,P:>;%J:F,NM?4G%J:F,;*/'X%J:Q%J*-4G:Y0kB AF7846>@0(*z,NM?>;4n7w0(RF%JV80(*¸>;%J:FRQEQ>;,P:
034G:F>;=GEF4GV,;:U,P=?,P*WA10k>;4G%9RQ,&A10kV10(B 'X,P7WVW%J*aRQ,/j9EQB *-y]EQ,;R103,;=¹Sº¼»ß»½N¿SIJ,;=]7846,;'XAf%LRQ,/*-EQjQ4GRQ0Lbq,;=5784G,P')Ai%
RQ,j10W0(R10<RQ,=6%J*cAf%k78,;:F>;4K0k=G,;*cAi%J*O78*W46:Y0(B AF7W4G>P%J*cRQ,>@0(RQ0X:Q,PEQVW%(:10Fo
p#:,P=&>@0kADB 7WEQ=G%H*W,V-,@0(=64Gu;0(VW%J:*W46'UEQ=G0(>;46%J:Q,;*qA10(VW00(:10k=G4Gu;0(V=K0d4G:F1EF,;:Q>P4K0lRQ,h,;*-7W%J*\7WVW,;*
A10(V10kB '),N78VW%(*+,;:,;=>P%JVWV-,;=6%JtJV80k'h0h'X%J:Q%(*W4G:c0(B AF7846>;%Qo 0kV-7846,;:QRF%dRF,;=#'X%?RQ,P=G%RF,X:F,;EQV-%J:104G:m78V-%k
RQEQ>;46RQ%v,;:s,;=>@0(ACDB 78EQ=6%dÞ?IEQ:10'X%?RF46{1>;0(>;4@%JB :lRQ,P=C¹Sº¼»ß»½N¿46')AQ=64G>;0)EQ:s>@0k'UjQ4G%,P:s=K0RQ,P*-254K0(>P4T%JB :
,;*-710(B :QR10kV^àgrRQ,LEQ:10RQ4G*O78VW46jQEQ>P4T%JB :X0(=6,@0k7W%JVW4G0:F%JVW')0(=a^¾á(â¾^[ã-g-gNI5>;EFbJ0\'X,;RQ4G0q,P*&,;=iVW,N78VW0(*W%'),PRQ4G%
RQ,7WV80(:Q*-')46*W4@%JB :l*-4G:Y0(B A?784G>;0),P:]7WVW,URF%J*9:Q,PEQVW%(:10(*+>P%J:>;%J:F,NM?4T%JB :l')%J:F%J*W46:Y0(B AF7W4G>@0^[2#,;B 0(*W,U*-,;>P>;4T%(B :
HFoH?oä3b{1tJEQVW0+HFonJgSo %(V%(78V-%+=K0kRQ%QI(,P=1p *-,c')%5RQ,;=G0346:QRQ4GV-,;>N7w0('X,;:m78,&09A10(VO7846VRQ,c=G0LZ[%JV-'h0
RQ,h=G0d>PEQV-2k0lRQ,)>;%J:FRQEQ>P780(:Q>P4K0lRQ,)'),P'UjQVW0(:10vRQ,=K0v:Q,PEQVW%J:Q0lAf%(*-78*-4G:Y0kB AF7846>@0Fovp#*-780l>;EFV-2k0l*W,
Z[%JVW')0(=G46u@0U')0k78,P'·0|B 784G>;0('X,;:m78,'X,;RQ4G0(:m78,qEQ:10hRQ%(jQ=G,Z[EQ:Q>P4T%JB :0k=6Z0y5EF,\RQ,N78,;V-')46:10)=G0)*-EQjQ4GRQ0Xb
=K0j10W0(RQ0RQ,X=K0v>;EQVO2k0^[2#,;B 0(*W,),;=r')%5RQ,P=G%RQ,):Q,;EQV-%J:10d,;:",P=r>@0(ACDB 78EQ=6%ÞJgNoh´a0d*WEQjF4GR10vRQ,h=6%J*
p ,P*-710dB 'X%?RF,;=K0kR104G:QRQ46VW,P>P7w0k'),P:]7W,<Af%(V,;=rA10(VQ0(B '),N78V-%håâ6`+RQ,X=K0,P>;E10(>P4T%JB :"æ?oçQI')46,;:m78VW0(*
y5EF,X,P=A10(VQ0(B 'X,P78V-%håaâèeRF,<,;*-780d'X4G*-'h0),;>;EQ0(>;4@%JB :sRQ,P7W,;VW'X4G:Q0RQ,'h0(:F,;V8046:QRQ46VW,;>N7w0=G0j10W0(R10
RQ,=G%J*Yp o
p#:=K07w0(jF=K0d?on)*-,)'UEF,;*-7WV80(:=G%(*2k0(=6%JVW,P*Af%(VqRF,PZ[,;>N78%A10(V80v,;=¹Sº¼»»¾½N¿SI7846,;'XAf%RQ,X*WEFjQ4GR10
RQ,;=#p ^[2r,@B 0(*-,<*W,P>;>;4@%JB :HFoéHFo6bl{1tJEFV80HFoç]gYblRQEQVW0(>;4@%JB :RQ,P=#p ^[2#,;B 0(*W,<*-,;>;>P4T%JB :HFoéHFoÞXb
{1tJEQVW0XH?oämg/EF7W4G=64Gu@0kRQ%J*&,P:l=G0U*W4G'\EQ=K0(>P4G%J:F,;*cRQ,=G%(*c>@0(ACDB 78EQ=6%J*cH<bQor³9RF,;'0(B *;I1,P:,P*-7w07w0(jF=K0U*W,
'UEQ,;*O78VW0FIÀA10(V80X>@0(RQ0)A10(VQ0(B 'X,P78V-%<{1*W46%J=T%JB t(4G>;%FIQ,;=>;%(VWVW,P*WAi%J:QRQ46,;:m78,A10(VQ0(B '),N78V-%),P:l,;='X%?RF,;=G%RQ,
:Q,;EQV-%J:10^[2#,@B 0k*W,&>;0(ADB 78EQ=6%LÞJgNI|>;%J:,;=J2k0(=6%JVAf%(VRQ,PZ[,P>P78%3A10(VW0L,P*W,zA10(V10kB '),N78VW%Y,P:\=K0k**W4G'\EQ=K0(>P4G%J:F,;*
RQ,)=6%J*>@0(ACDB 78EF=G%J*q0(:m78,PVW46%JVW,P*;oêa%J')0(:QRQ%d>;%J'X%dj10(*W,X=G%(*qRQ0k78%J*q:Q,PEQVW%({Q*W4G%(=T%JB tJ46>;%J**-%JjQV-,h,;*O78%J*
A10(V10kB '),N78VW%(*ëÝì&=G%5%J'{1,;=6R0(:QR5.Q,;V-'h0(:xIz@JíJíFîapb5*W,;=ßI¸@mæ(äFîa57WV80k7-Z[%JVWR,P7U0(=¶onI#TJJä?îaïl0(*W%(:
,P7¸0(=¶onIF@JFJî]ï0(VWð]V80k'ñ,P7¸0(=ßo6I?TJmæ?îJòÀ,P=GRQ'X,Pb(,;Vr0(:FRF0kð5')0(:Q:xI]Þ(JJ?îmò1,;=GRF'),NbJ,;V#,N7¸0(=¶onI]Þ(JJÞ?î
$&=G,;=G0(:QRq,P70(=ßo6ImTJæ?T0FIçjCîpb5*W,;=ßI]Tmæ(äFîì¸=G%5%J'X{Q,;=GR0k:QRU5.Q,;V-'h0(:xI5@JíJíFî|?%30(:QRU?.10(AF=G,PbiI]TmækFî
ó %J.Q:Fð(,+0k:QR5EQV;IÀTJ(kô¶Im,P:h,P=i>;0(ADB 78EQ=6%H*W,L,;*O78EQRF4T%qB ,;=À,PZ[,P>P78%y]EQ,3EF:10'X%?RF46{1>;0(>;4@%JB :<RQ,L>@0(R10
A10(V10kB '),N78VW%RF,;:m78V-%RQ,sEQ:V80(:FtJ%78,;:CDB 0A10(VW0~=G0>;%JV-VW,P=K0(>P4T%JB :RQ,0(>N78462546R10(R
,;:m7WVW,:Q,;EQV-%J:10(*
,;:EQ:10>;%J:Q,SM?4T%JB :'X%J:Q%J*-4G:Y0kB AF7846>@0Fop#=&V80k:QtJ%l,P*-7WEQRQ4K0kRQ%A10(VW0l,;*O78%J*UAQ0(V10(B 'X,P7WVW%J*qb",P=¸VW0(:QtJ%
>;%JV-VW,;*-Af%(:QRQ4G,P:m78,+A10kV80\>;0(R10UA10(VQ0(B 'X,P78V-%\RQ,P=x'X%?RF,;=G%q7w0('\jQ4N,PB :0(A10kVW,;>P,;:,P:=K0q780(jQ=G0U?onJorp#*W%J*
*W%J:v=G%(*cV80(:Qt(%J*/RQ,A10(VQ0(B 'X,P78V-%J*/y]EQ,,;=',PB 7W%?RF%<0(EF7W%J'·0|B 784G>P%URQ,j9EQB *-y5EF,;R10RQ,;ji,<Üçj10(VWV-,;VPÜ1,;:v=K0
=G%5>@0(=64Gu@0k>;4T%(B :)RQ,Ai%J*-4GjQ=6,;*/>P%J:F{1tJEFV80(>P4G%J:Q,P*Y0(=67W,;V-:10k784n2k0(*/0<=K0>;%J:Q,SM?4T%JB :v'X%J:Q%J*-4G:Y0(B A?784G>;0\>;%(:d=6%J*
A10(V10kB '),N78VW%(*c,;*-710(B :QR10kV;o
@mH
©mª6ÄJª}®r§a® c ¤ c£¨ ±Å¯®z§®z¬ ¢f¡q ¤N¨Æ¯® ¢i¡ ° £¡ Ç 9® ¥°¨Y¬
ê0(jF=K0X?onJ#õfö÷|øPù¾úû&üý#÷|øSþ(ø ÿ /ý ¶þßû;ö (öúû Wû ÿ PúùOûPö ý hÿPø öCú Ný +ý ø/ùOûNþ¶þßý øPù¾úWû ÿ LüTýrøPù ¶ú @ú üøNüTýWö
"!#$&%
')(+*(,%-% .(,/0%
12-%43%
56!87!0/#9%
:;<=.>%@?!
1A(,/(% <
B!#$&%
?!-DCE%F?!-%
12-%3%
5G!,7!0/#H%
:;<.%I?!
12(,>/(% <
J K
)L J L
MON&PQR
S MON&TN)UON0MVQRW
XVY+Z
[N0UVQ\R
S [N]>N_^Q\RW
TN&aQR
S MON]>NDa>MNb^Q\RW
X Yc
^Q\R
S [NdUONeM[fQRW
[NdUfQR
S [NafQ\RW
[N0UVQ\R
S [N
aQRW
õú üøcüTý
þ õ øNùOú-û ÿ 9üý
ú õ ¶ýOþüTý
` >
)L J L
g b
)L J L
h
ý
Ei
Y&j,kbl
YÛ ,;*-Af,P>P78%q0+=6%J*A10kV10(B 'X,P7WVW%J*a78%JAi%J=T%(B tJ4G>P%J*%RQ,/>;%(:Q,;>N78462546R10(RURQ,cV-,;RCI(*W%J:<2k0(VW4G0(*a=K0(*>;EQ,P*-7846%k
:F,;*#y]EQ,/*-,cRQ,;ji,;:U7W,;:Q,PV#,;:<>;EF,;:m7w0+A10kV80+AQ=G0(:m78,@0kV=K0Lj+EQB *Wy]EQ,PR100(EF7W%J'·0|B 784G>;0Foap#:<AQVW46'),PV=6EQtm0(VPI
,P=1:+EQB 'X,;VW%9RQ,Y:Q,;EQV-%J:10(*rRQ,Y=G0+VW,;R,P*zEF:)A10kV10(B 'X,P7WVW%>;V;DB 7W4G>;%FI(AQEQ,P*-7W%y]EQ,LRQ,P7W,;V-')46:10+,;=Q:9EFB '),PVW%
RF,>;%J:Q,SM?4G%J:10kRQ%J*cAi%J*W46jQ=G,P*/,;:v=K0VW,;Rxo¸p#:78%5R10(*&=K0(*/V-,;RQ,P*Yy5EF,qRF,;ji,;:d0(:10(=64Gu;0(VW*-,+RQ,;ji,.10(ji,;VPI
>P%J'X%X'DB :F4G'X%QI?RF%J*Y:Q,;EQV-%J:10(*P¸_`/b_feTI1y]EQ,*-,;VQ0(B :=G0(*c:Q,PEQVW%J:Q0(*3>PEFbm0X>;%JV-VW,P=K0(>P4T%JB :RQ,0(>N7846254
RQ0(RU*W,PV10B 0(:Q0(=G46u@0(R10?o µ %9RQ,Pjf,&,NM?4G*O784GV>;%J:F,NM?4T%JB :\')%J:F%J*W46:Y0(B AF7W4G>@0Y,NM?>P467w0kRQ%JV80LRQ,/_`a09_xeTIkAQEQ,P*-78%
y]EQ,*-,7WV80k780URQ,0(:10k=G4Gu;0(V&%k78V80k*cAf%J*-4GjQ=6,;*&7W%JAi%J=G%JtQDB 0(*zRQ4G*O7846:]780(*/RQ,,PB *-7w0?o#³9RQ,P'·0(B *cRF,q,P*-780(*YRQ%J*
:F,;EQV-%J:10(*PI>@0(R10V-,;R0(:10k=G4Gu;0(R10XAf%5RQV;DB 0h4G:F>;=GEF4GVLEQ::+EQB 'X,;VW%FIx,;:sAQV-4G:Q>P4GAQ46%h46:QRQ,P7W,;V-')46:10(RQ%QIfRQ,
:F,;EQV-%J:10(*cy]EQ,*-,>;%J:Q,P>P780(:v,;:m78V-,q,P=G=G0(*zbh>;%J:v_`rb_xeYRQ,9'UEFbRF462J,PVW*W0(*c'h0k:Q,;VW0(*;orp#=x:9EFB '),PVW%
'0|B M?4G'X%qRQ,+:Q,PEQVW%J:Q0(*/RQ,+=G0V-,;R,;*O7w0(VQ0\B RQ,N78,;V-')46:10(RQ%Af%(V&=K0k*&VW,P*-7WVW4G>P>;46%J:Q,;*¸>;%J'XAQEF780(>;46%J:10(=6,;*Po
³3RQ,;'0(B *&RF,;=i:+EQB '),PVW%RQ,9:Q,PEQVW%(:10(*;I?%(78V-%Z0(>N78%JV¸0\>P%J:Q>;V-,P780(V&,P*&=K0q:10k7WEQV80(=6,;u;0RQ,3=K0(*z>;%J:F,N
M?46%J:Q,;*L%X*W4G:Q0(AQ*W46*;o&$/0(R10>;%J:F,NM?4T%JB :,;:m78V-,RF%J*3:F,;EQV-%J:10(*LAf%5RQVQ0B *-,;VLRQ,q:10k78EFV80(=6,;u@04G:F.Q4GjQ46RQ%JVW0
%)jQ4G,P:l,SMF>P46780(RQ%JVW0Focp#=Ai%JV->;,;:m780-,\RQ,q*W46:10(AQ*-4G*L4G:Q.F4GjQ46RQ%JV80k*q^[bJIiAi%JV3>P%J:Q*-4GtJEQ46,;:m78,qRQ,q*W46:10(AQ*-4G*
,SM?>;46780(RQ%JVW0(*wgc,;*3%(78V-%)AQ0(V10(B 'X,P7WVW%X>;%J:l,;=y]EQ,\RQ,Pjf,c-EQtm0(V-*W,q,;:=K0j+EQB *Wy]EQ,PR10hRQ,>;%J:Q,SM?4G%J:10kRQ%J*
0k=678,PVW:10|78462(%J*)0(=Y')%J:F%J*W46:Y0(B AF7W4G>;%Fo
p#:·=K0'h0@bJ%(V@DB 0sRQ,=G%J*X>@0(*-%J*;Ic=G0(*X:Q,;EQV-%J:10(*)*WEQ,P=G,P:78,P:Q,;V
:Q0k78EQVW0(=G,Pu@0,NM?>P467w0kRQ%JV80%d4G:Q.F4GjQ46RQ%JV80?IxAi,;VW%v:Q%0('UjQ0(*0d=G0h2J,Pu(o)pr*O78%dy]EQ4G,PVW,RQ,;>P4GVy]EQ,XEQ:10
:F,;EQV-%J:10,NM?>;4n7w0(RF%JV80",P*-780(jQ=G,P>;,PV10B *W46,;'XAQVW,*-4G:10kAQ*W46*,NM?>;4n7w0(RF%JV80(*h>;%J:%(7WV80(*:F,;EQV-%J:10(*Ai%J*-7O
*-4G:Y0kB AF7846>@0(*PI'X4G,;:m7WV80(*y5EF,EQ:10l:F,;EQV-%J:10l46:Q.Q4GjF4GRQ%JVW0d*Q%JB =G%,;*O7w0(jQ=6,;>P,>;%J:F,NM?4G%J:F,;*U46:Q.Q4GjF4GRQ%JVW0(*;o
,P*WRQ,<,P*-7W,<AQEQ:m78%vRQ,U254G*O7w0FIf,;:s,;='~,NB 78%5RQ%RQ,Uj9EFB *Wy]EQ,;RQ0780('UjQ4N,;B :l2k00>P%J:Q*W46RQ,;VW0(VW*-,<y]EQ,<,;*
=G0):Q,PEQVW%(:10FIfb:Q%=G0X*-4G:10kAQ*W46*9RQ,U')0(:Q,PV80X4G:QRQ,PAf,P:QRQ46,;:m78,kIx=K0Xy]EQ,UAQV-,;*W,P:m7w0EQ:10hEl%(78VW0):10k7WE?
VW0(=G,Pu@0Fo ,,P*-7W,\'X%?RQ%FI1,;=A10(VQ0(B '),N78V-%Xy]EQ,VW,;0(=G'X,;:m78,46:]7W,;V-,;*80),;*L,;=Af%(VW>;,P:m7w0-,RQ,:F,;EQV-%J:10(*
46:Q.Q46jQ4GRQ%(V80(* k,NM?>;4n7w0(RF%JV80(*Y,P:=K0VW,;Rxop#=Ai%JVW>P,;:m7w0T-,URQ,\:F,;EQV-%J:10(*+46:Q.Q46jQ4GRQ%(V80(*YRQ,PAf,P:QRQ,<RQ,=K0
V-,;tJ4@%JB :vRQ,;=>P,;VW,PjQVW%h0(:10(=64Gu;0(R10vë q0(jFjf%(7-7L0(:QR?%J'X%Jt(b54¶IfTJíJäkôßIÀ0(EQ:Fy5EF,,P*-7À0XB 0(=6VW,;RF,;RQ%JVYRQ,qEQ:
Þk ,P:<=K09>P%JV-7W,;u;0+>;,;V-,;jQVW0(=¶opr*O78,cAi%JVW>P,;:m7w0T-,c*W,/EQ*W0(V10B >P%J')%9>;%(7809*WEQAi,;V-4G%JVA10(V803=K09j9EQB *-y]EQ,;R10
0kEF78%J'0kB 7W4G>@0URF,q>P%J:Q,SMF46%J:10(RF%J*L0(=67W,;VW:Q0k784n2J%J*c0k=')%J:F%J*W46:Y0(B AF7W4G>;%Fo
ê0(=b>;%J'X%*-,0(:10(=64Gu%)B ,;:s=G%(*9>@0kADB 7WEQ=G%J*9HhblFIC,;=V-,P7WV80(*-%*W4G:c0(B AF7846>;%h780('UjQ4N,;B :46:F1EFb(,<,;:
nm
po
rq
@ J
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
=K0(*AQVW%JAF4G,;RQ0(RQ,;*\RQ,=K0d>;%JV-VW,P=K0(>P4T%JB :RF,0(>P7W46254GRQ0(RQ,;*,;:m78V-,RQ%J*\:Q,;EQV-%J:10(*Popr:EF:10>;%J:F,NM?4T%JB :
')%J:F%J*W46:Y0(B AF7W4G>@0,SMF>P46780(RQ%JVW0FI],;=ÀVW,N78V80k*W%U*-4G:Y0(B A?784G>P%RQ,P7W,;VW'X4G:Q0FImZ[EQ:QR10('X,;:m780(=G'X,;:m78,kI]=K0Af%J*-4G>P4T%JB :
RQ,;=LAQ4G>P%"'X%J:Q%J*-4G:Y0kB AF7846>;%QoÂ$&E10(:FRQ%')0Tb(%JVh,P*h,P=L2k0(=6%JV)RF,;=LVW,P7WV80(*-%*W46:Y0(B AF7W4G>P%QI/,;=LAQ46>;%",P*-710 B
'·0(B *RQ,P*WAQ=G0(u@0kRQ%l0v=K0vRQ,PVW,;>w.Q0RQ,P=z>P,;V-%Qop#=#2(0k=G%JVAi%JVRQ,PZ[,P>P7W%lA10(VW0d,P*-7W,)A10kV10(B 'X,P7WVW%d,;:"=G0(*
*W4G'\EQ=K0(>P4G%J:F,;*RQ,=G%(*q>;0(ADB 78EQ=6%J*0(:m78,PVW4G%(VW,;*Z[EQ,XRQ,d mo)p#*-7W,X2k0(=6%JV>;%J46:Q>;46RQ,>;%J:,;=rV-,P78VW0(*W%
*W4G:c0(B AF7846>;%~'X,;RQ46%,;:Q>P%J:m78V80kRQ%,P:Â>P%J:Q,NM?46%J:Q,;*d,;:m7WVW,:Q,;EQV-%J:10(*ÜçjQ4G%J=@%JB tJ46>@0(*PÜ+^¼2r,;B 0(*W,>@0kADB 7WEQ=G%
gNo p#:Á,P=>@0(ACDB 78EQ=6%H*-,0k:10(=G46u%B =G0~46:F1EQ,P:Q>;4G0RF,,P*-7W,A10kV10(B 'X,P7WVW%~,;:Â=K0>;%JV-VW,P=K0(>P4T%JB :
RQ,
0(>P7W46254GR10kR'),PRQ4K0k:]7W,+=K0VW,@0k=G4Gu;0(>;4@%JB :hRF,*W4G'\EQ=K0(>P4G%J:F,;*zy5EF,q,P*-7WEQRQ4K0kj10(:EQ:vV80k:QtJ%<>;%(')AQV-,;:QRF4GRQ%
,;:m78V-,X S qRQ,VW,N78VW0(*W%X*W46:Y0(B AF7W4G>;%Ubä S h^¼2r,;B 0(*W,q*W,P>;>P4T%JB :HFoéHFoäUb{QtJEQV80HFonJgSo
%JVEQB =n7846')%QI(,;:,;=i>@0kADB 7WEQ=G%UÞq*W,9,;*-780(jQ=6,;>;4@%\B EQ:2k0(=6%JVrAf%(V&RQ,NZ[,;>P7W%UA10(VW0\,;=iAi,;*W%<,P:EQ:10>;%k
:Q,NM?4T%(B :X'X%J:Q%(*W4G:c0(B AF7846>@0+,SMF>P46780(RQ%JVW0RF, "`e ?o#p#*O78,c2k0(=G%JVRQ,P7W,;VW'X4G:Q0EF:10,P{1>;0(>;4G0qRQ,P=1mH S
RQ,_`/,P:l_feTIQbvEQ:10>;%J:m78V-4GjQEF>;4T%(B :RQ,P=ÞJæ wH !^[2#,@B 0k*W,\>;0(ADB 78EQ=6%HmgNo µ %X,NM?4G*O78,P:lR10k7W%J*L:Q,;EQV-%({F
*W4G%(=T%JB tJ46>;%J*>P%J:Q>P=GEFb(,;:m78,P*bqtJ,;:¸,PB VW46>;%J**W%JjQV-,&=6%J*2(0k=G%JV-,;*aRQ,&,N{1>@0(>P4K0L*W4G:c0(B AF7846>@0cbq>;%J:m78V-4GjQEF>;4T%(B :,P:
>;%J:Q,SM?4G%J:Q,P*r,;:m78V-,3:Q,PEQVW%(:10(*z,;:X,;=1>;,PVW,PjQVW%QI],SMF46*-7W4G,;:FRQ%EF:10tJV80(:<2k0(V-4K0(jQ46=G46R10(R\,P:m78VW,LRQ4nZ[,;VW,P:m78,;*
0(B VW,;0(*;IC7W4GAi%J*+RQ,*W46:10(AQ*-4G*PIC784GAi%J*+RF,<:Q,;EQV-%J:10(*PoU,P7W>(o µ %%JjQ*-780(:m78,kIa*;DB ,NM?4G*O78,P:R10|78%J*V-,;=K0|78462(%J*
,;:m78V-,>P%J:Q,NM?46%J:Q,;*YRQ,RQ4nZ[,;V-,;:m78,P*3uP%J:10(*YRQ,=K0\2fDB 0<2546*WE10(=ßo %JVY,-,;'XAQ=G%QI?*W,q*80(ji,y]EQ,(IÀ,;:dtJ,P:Q,N
V80(=ßI1=K0(*c>P%J:Q,NM?46%J:Q,;*3VW,N784G:F%ktJ,P:Q4G>PEQ=K0kR10(*/bvtJ,P:Q4G>PEQ=G%k >;%JVO7846>@0(=6,;*/AQV-,;*-,;:m7w0(:l'h0@bJ%(VW,;*Y2k0(=G%(VW,;*YRQ,
,P{1>;0(>;4G0v*-4G:Y0kB AF7846>@0y]EQ,=K0(*9>;%J:Q,SM?4G%J:Q,P*>;%JVO784G>P%k>P%JV-7W4G>;0(=G,P*;oqp#=2(0k=G%JV3RQ, `e hA10(VW0,;=Ai,;*-%
*W4G:c0(B AF7846>;%U,P:EQ:10U>P%J:Q,NM?4@%JB :v')%J:F%J*W46:Y0(B AF7W4G>@0q,NM?>;4n7w0(RF%JV80\,P:v=K0(*¸*W4G'\EQ=K0(>P4G%J:F,;*z*W,RQ,N78,;V-')46:Y%UB RQ,
'h0(:F,;V80).Q,;EQV-4G*O784G>;0Fo 0(VW0,;=6=G%QIf*W,U78E?2?46,;V-%J:,;:s>;EF,;:m7w0FI*-%JjQV-,U78%5RQ%QIxV-,;*O78VW46>;>P4G%J:Q,P*>;%J'XAQEF780|
>;4G%(:10(=G,P*;olÃ3:2k0(=G%(VRQ,hAf,P*W%'0(B *\Ai,;y]EQ, :Q%4G'XAQ=G46>@0EQ:10'X,;:F%JV\,N{1>@0(>P4K0l*-4G:Y0kB AF7846>@0FI=G%l>PE10(=
AQEQ,;RF,9VW,P*WEQ=n7w0(Vr>P%J:Q*W46*-7W,;:m78,3>;%J:)=G%J*#2k0(=G%(VW,;*rRQ,3,P{1>;0(>;4G0q*-4G:Y0kB AF7846>@0,;:Q>P%J:m78V80kRQ%J*&,P:h>P%J:Q,NM?46%J:Q,;*
>;%JVO784G>P%k>P%JV-7W4G>;0(=G,P*;o&?4G:,;'Uj10kVWtJ%QI1>P%J:lEF:Af,P*W%)Af,Py5EF, :Q%h*-%J:l:F,;>;,P*80(V-4G%J*L7846,;'XAf%J*YRQ,q*W46'UEQ=G0|
>;4T%(B :'h0@b(%JVW,P*cA10(V80UV-,;>P%JtJ,;V&EQ:v:+EQB '),PVW%RQ,RQ4G*-A10(V-%J*/*WE?{1>;46,;:m78,A10kV80UAi,;VW'X467W4GVz>;%JV-VW,P=G%JtJVW0(')0(*
*W4Gt(:Q46{1>;0k784n2J%J*Po %JVU%(7WVW%=G0(RQ%QIEQ:Af,P*W%*-EQAf,PVW46%JVU0d=G=G,N2k0l02k0(=6%JVW,P*\RQ,,N{1>@0k>;4K0*W4G:c0(B AF7846>@0
'UEFbs,;=6,P2k0(RQ%(*b(IAQV-%T2J%5>@0FI0(RQ,;'0(B *PIEQ:Q0*W%(jQVW,P,NM?46780(>;4@%JB :,P:"=G0d:Q,PEQVW%(:10Ai%J*-7W*W46:Y0(B AF7W4G>@0?Iay]EQ,
>;%J'X4G,P:Qu@0U0RQ4G*-A10(V80kV&>;%(:EQ:10\Z[V-,;>;EF,;:Q>P4K0U>;,PVW>;0(:10<0\*-EvZ[V-,;>PEQ,;:Q>P4K0U'0|B M?4G')0FImAi,;VWRF4N,;B :FRQ%J*W,0k*@DB
=K0>;%JV-VW,;=G0(>;4@%JB :d,;:m78V-,\=K0k*90(>N784n2?46R10(RQ,P*3RF,\=K0k*3:Q,PEQVW%(:10(*9AFVW,bdAi%J*-7W*W46:Y0(B AF7W4G>@0?o %JV3,;*O78,U.Q,P>w.Q%QI
,;:,P=z',PB 7W%?RF%lRQ,Xj+EQB *Wy]EQ,PR10FI=G0d>P%(7w0*WEQAi,;V-4G%JVRQ,P=¸Ai,;*-%*W46:Y0(B AF7W4G>;%d,;:">;%J:Q,SM?4G%J:Q,P*\,SMF>P46780(RQ%k
V80(**W,){|W0(V10B 0lEQ:"2k0(=6%JVRQ, â q5olp#*\RF,;>;46V;I,P:>;%(:Q,NM?4G%(:Q,;*U,SM?>;46780(RQ%JVW0(*qRQ,;ji,>;EF')AQ=64GV-*W,
=K0lV-,;=K0k>;4T%(B : â !?o 0kV80=K0k*U*W46:10(AQ*-4G*U46:Q.Q4GjF4GRQ%JVW0(*;IRQ,'h0k:Q,;VW0*W4G'X4G=G0(V;Ia*W,7W,;:QRFV10FB
â Fo ,;ji,+78,P:Q,;V-*W,q,;:d>;EQ,P:]780)y]EQ,qEQ:vAf,P*W%X*W46:Y0(B AF7W4G>;%RQ,2k0(=6%JV/>;,PVW%X,;y]EQ4n2(0k=G,0<=K0
0(EQ*W,P:Q>;4G0XRF,q>P%J:Q,SMF4@%JB :Co
p#:}=K0{1tJEQVW0"5o6d*W,d'UEQ,P*-78VW0,P=c,PZ[,P>P78%RQ,dEQ:10s')%5RQ46{Q>@0(>P4T%JB :RQ,P=YAf,P*W%*W4G:c0(B AF7846>;%s,;:}=K0
>;%JV-VW,;=G0(>;4@%JB :RQ,d0(>N784n2?46R10(RQ,P*U,;:~=G0(*<:Q,;EFVW%J:10k*<RQ,EQ:10>;%(:Q,NM?4T%(B :'X%J:Q%(*W4G:c0(B AF7846>@0l,SM?>;46780(RQ%JVW0Fo
$&%J')%*-,s%JjQ*W,PV-2k0~,;:=G%J*h>;%JV-VW,;=6%JtJVW0('h0k*RQ,,¾-,P')AF=G%b·,P=RQ4K0ktJV80(')0RF,RF4G*WAi,;V-*W4@%JB :
RQ,s=K0
esut
Av sut
wv sut
yx
z
wv Aq
{v rq
|x
D}
~}
x
x
x
y
>z
z
@]
m© ª6ÄJª}®r§a® c ¤ c£¨ ±Å¯®z§®z¬ ¢f¡q ¤N¨Æ¯® ¢i¡ ° £¡ Ç ®9¥°¨Y¬
{QtJEQV80?IJEQ:4G:Q>PVW,P'),P:]7W%+,;:,P=FAi,;*W%*-4G:Y0kB AF7846>;%+AQV-%T2J%5>@0EQ:10+RQ46*W'X4G:]EQ>P4T%JB :RQ,/=K090(:Q>w.]EQV80RQ,P=QAQ46>;%
'X%J:Q%(*W4G:c0(B AF7846>;%QI(*W4G,P')AFVW,cb>;E10k:QRQ%\,P=ÀAf,P*W%q,;*-7?,9B Ai%JVrRQ,;jQ0-%\RQ,LEQ:2k0(=G%JV#>PV@DB 784G>P%RQ,P7W,;VW'X4G:Q0(RQ%
^0(AQV-%TM?46'h0(RQ0('),P:m78,Uí?Ix>;%(')%AQEF,;RQ,U2(,;VW*-,<,;:s=K0X{1tJEQVW0mgNo³ñAQ0(V-7W4GV9RF,U,;*O78,U2k0(=G%(V3>PV@DB 7W4G>P%QIx=6%J*
>P%JVWV-,;=6%JtJV80k'h0(*RF,¾W0(:RF,)>PEQ')AF=G4GV,P=r>;VW4n78,PVW4G%dRQ,X*W46tJ:Q46{Q>@0(>P4T%JB :,;*O7w0(jQ=6,;>P4GRQ%d,;:,P=r>@0(ACDB 78EQ=6%dHFo
p#=46:Q>;V-,;'X,;:m78%X,;:d,;=Ai,;*-%)*-4G:Y0(B A?784G>P%4G'XAQ=G46>@0EF:l0(EF'),P:]7W%),P:=G0UZ[VW,;>PEQ,;:F>;4K0RQ,RQ46*WA10(V-%RQ,=K0
:F,;EQV-%J:10Ai%J*-7W*W4G:c0(B AF7846>@0FIiy]EQ,U*-,<VW,PQ,¾W0h,P:=K00(AQ0(VW46>;4T%(B :RQ,\'EQB =n784GAF=G,;*cAF4G>;%(*+0h=G0hRQ,;V-,;>w.10RF,;=
>P,;V-%Qo)³3=GtJEF:Q%J*RQ,,;*O78%J*qAQ46>;%J*7846,;:Q,P:CI4G:Q>P=GEQ*-%QIEQ:10d0('XAQ=G4n78EQRl*WEQAi,;V-4G%JVq0(=AFVW4G'X,;VAF4G>;%vy]EQ,
*-EQVWt(,90=K0RQ,PVW,;>w.Q0\RQ,;=1>P,;V-%by]EQ,L,;*zRQ,;jQ46RQ%0q=G0>P%JVWV-,;=G0(>;4@%JB :RQ,YRQ4G*-A10(VW%(*z,P:m78VW,3=K0(*#:F,;EQV-%J:10(*
RF,;=>;46VW>PEQ467W%Qo
p#:=K0d7w0(jQ=G0?oÞ*-,'UEQ,;*O78VW0lEQ:,;*-y]EQ,;')0RQ,=G%(*A10kV10(B 'X,P7WVW%J*q78%JAi%J=T%(B tJ4G>P%J*y]EQ,h4G:F1E?bJ,;:
RF4GVW,P>P780('),P:m78,v,;:}=K0>;%JV-VW,P=K0(>P4T%JB :~RQ,0(>P7W46254GRQ0(RQ,;*,P:]7WVW,dRQ%J*X:Q,;EFVW%J:10k*)>P%J:}>P%J:Q,SMF4@%JB :'X%J:Q%|
*-4G:Y0kB AF7846>@0Fo 0(V80>;0(R10A10(VQ0(B '),N78V-%*W,'UEQ,P*-78VW0d*-E2k0(=6%JV+Ai%JVRQ,NZ[,;>P7W%,P:s=K0(**-4G'UEQ=G0(>;46%J:Q,P*+RQ,
=6%J*#>@0kADB 7WEQ=G%J*0(:m78,;V-4G%JV-,;*#b<,P=1V80(:Qt(%qRF,Y2k0(=6%JVW,P*#y]EQ,Y,;=1'~,PB 78%5RQ%q0(EF7W%J'0kB 7846>;%+RQ,Yj9EQB *-y]EQ,;R10RQ,Pjf,
>P%J:Q*-4GRQ,PV80(VPo
ê0(û jQ¶=Gø 0UFý?oÞ?øNöxõiý-ößù ÷||øNøNùOùOúéúéûrû üTý-ýöx÷|üTøSý þ(ø ÿ /û/ýTßüTþ¶ý ûPéöÀû&üTüTýý ù¾û ý ý þ¶Tû úkû ør|øPý üTJûrþ¶ý üT¶ýþ¶øPþßöýWûzü ößú øSýaÿ ÷ ú ¶úùOû¸PøNý ÷|YøSþ¶ý ý-ùOýøzù¾ù¾û ûP/ûþßþ¶ý øNùOú-cû ÿ cý JüT÷kýýWøPöû/ù ßößú @ú úü|øNÿ øN÷ üTßú ýWù¾ö û
ý-öCý 5÷|øSþ(ø ÿ /ý ¶þßû
j,
B
A
>
Y l
> "!#8d%2%d3%-% .(,/0%
ÿ /ýOþ¶ûcüTý ý þ¶û |øPö
ý þ¶û køNö ú ú üTûNþ øNö
ý ßþ øNößû ú øNÿ ÷ ßú ù¾û
QýWöû ú øSÿ ÷ ßú ù¾û
L
J
{¡¢O£¤&¥r¥r¤§¦)¨;~¡©¥ª¦)«­¬¯®e¢=°f¥r¤b¦)¨e°f±§{¡
>
Y
:;<.%?!E12(,/(% <
M
nMN][
49 K
O
> 6
1A-%43%;56!87!0/#9%
J
I O I
O
[
]DQ\R
õ ù¾ú ú¶úøPüTüTûNûNþ þ øNøNö ö
f 9 K
S [NeM[
U
w
O
W
U
S [N
NdUVQ\RW
õ TúùOú ú üTøNüTûNþûPøNþ¶öøPö
p
9 K
S [N;UnW
S;UON[W
#p :,;=r>@0(ACDB 78EF=G%dH*-,)V-,@0(=64Gu@0kVW%J:s*W46'UEQ=G0(>;46%J:Q,;*AQ0(V80d,;=r,;*O78EQRQ46%RF,h=K046:F1EQ,P:Q>;4G0dRQ,XRQ,N78,;V-')4
:Q0(RQ%J*cA10kV10(B 'X,P7WVW%J*&{Q*W4G%(=T%JB tJ46>;%J*¸,;:v=K0>;%JV-VW,;=G0(>;4@%JB :RQ,0k>P784n254GR10(RF,;*c,;:m7WVW,:Q,PEQVW%J:Q0(*Y>;%J:Q,P>P780(R10(*
'X%J:Q%(*W4G:c0(B AF7846>@0('X,;:m7W,(o#³ A10(VO784GV&RQ,,P*-780(*3*-4G'UEF=K0(>P4G%J:Q,P*/*W,q%JjF7WEF254G,PVW%J:vRQ4G0(tJV80k'h0(*&RQ,RF4G*WAi,;V¾
*-4T%JB :"y5EF,')%(*-78VW0(j10(:,;=¸,PZ[,;>N78%RF,=K0d')%5RQ46{Q>@0(>P4T%JB :sRQ,EF:A10(VQ0(B '),N78V-%l,;:,P=&0k:Q>w.Q%RQ,P=&AQ46>;%
'X%J:Q%(*W4G:c0(B AF7846>;%s^¼2r,@B 0(:Q*-,=K0(*L{1tJEQVW0(*HFoÞ?IHFoçQIHFoéäFIHFoæ?IH?oíFIH?oFICHFo6@FIHFonJUbH?o6Þ(gNo 0(VW0=K0
V-,@0(=64Gu;0(>;4@%JB :)RF,+=G%J*zRQ4G0(tJV80k'h0(*zRQ,3RQ4G*-Af,PVW*W4@%JB :*-,+VW,;0(=G46u@0(V-%J:@J\*W46'UEQ=G0(>;46%J:Q,;*rA10kV80\>;0(R102k0(=6%JV
RF,;=AQ0(V10(B 'X,P7WVW%h0(:10(=64Gu@0kRQ%Qo9$&%J:%Jj5-,N78%RQ,\%JjF78,P:Q,;V3*WEF{Q>;4G,P:m78,;*>P%JVWV-,;=G%(tJV80(')0(*Y*W46tJ:Q4n{1>@0k7W462(%J*
RF,;:m78V-%RF,EQ:Q%J*U7W4G,;'XAi%lRQ,>C%JB ')AFEF78%VW0(u;%J:Q0(jQ=G,P*;I#*-,{kQ%B ,;:}Þ?oéJJ,P=&:9EQB 'X,;V-%RQ,RQ46*WA10(V-%J*
RF,=K0d:Q,;EQV-%J:10Ai%J*-7W*W46:Y0(B AF7W4G>@0d:Q,;>P,;*W0(VW46%J*U,;:>;0(R10l*-4G'UEF=K0(>P4T%JB :Cov³ *WE2J,Pu(Ir*W,h,;*-780(jQ=6,;>;4@%B EQ:
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
peso=1
peso=20
176
disparos
176
disparos
176
−50
0
tiempo (ms)
50
−50
peso=40
disparos
@mä
0
tiempo (ms)
50
−50
0
tiempo (ms)
50
W12 = 5
n1
n2
Ruido
Sináp.
ancho del correlograma (ms)
40
W12 = 1
35
30
25
20
50% significación
15
↓
10
5
0
1
2
3
4
5
6
7
peso sináptico
8
9
10
|ùOòû ûP4G\ößtJú EFüTøNV8úÿ ÷0)ý-ßþßú ?ý ùOo6øz(ßý-ý öaù¾wú øþ߶þ¶øPûNú üTkþ¶ûNøYý-þ öø#öüTý üTý/ý ÷(ý-ýWößö û9ø¶þ¶ößø ú aøSÿ ß÷ iþ¶¶ý-ý-ÿ úöaøPùOöû ùOýûNþ¶ýWþßö ý éû ý Nøcøþ ø /ýzcø-üTNüTý öfúJü÷ùOø þ¶û ûTù¾ý ý-Tý&üúéûý ý |1ßøN÷(ýWüTöaý-ûrößüTû9ø ýzø ößørú /ýú øN¶úùOýOø úéþ ûmüý øzý-ÀöüTø ýküýù øû3|üTøLý ù¾1þ¶ûø ÷|ú ýù¾û Tû+ú-ßû üTÿ ý ý Àú/ûüùOûPû ö
þ¶üþ¶ý¸ý ößû ýONþaþ øößú cøú küTùOú öø /úßú NûPöaNù¾ý û /û|Lø ùOPû ý|ößý-ù |ýý ký ù¾kú ÷(øcý-üTößû&ý ø øYù-øSø ÷køSWþ¶ø úùOú-û ÿ +8ø üéý ûPþxvÿùOþ8ÿ ¶¶úúéùO÷ û éýWPöaùOýO÷þ ú ùOù¾øû;öûz÷(øûNþ ø3éû;ööfû ùOûNþßý-þ¶þßý ýéù¾û ú N¶øPþ øù¾cøúWû ÿ +Nö1üTüTý ý ø
ýúõ |ùOþßý ý iø&&ýø ÷|køSù þ ¶ßø ýû9mú üýWöý ýOÀø þ¶÷úéûPú ú ù¾þúû ?üTø ÿ/ûý |üTø |û;ûPöý¸ößú ý þ¶1øNÿ ø&÷ø ßkößúý ùù¾û+û3øüTý-ýö ß1þ ÷ø ú ù¾û9üTýY÷|üTöøSúUþø ø Nø þ /÷ø cøwzú ø ü|ûNýü þühÿüTúößý/ø ÷kT÷ký-ú þ¶ýWcøößöúWû++û ÿ ößø ú &ý|øNÿ ý÷WüTßú ú ú ù¾|üû+øö ¶ù¾þ¶ý-ø |þ¶ù-ý&ø ý 1üTû9÷kýWø ù¾ýWþ¶öýû/ýöß÷(ú aûNøSþßÿ û&÷ ÿ¶ú úßùOú úû+&ûùOúößø ý
ÿüý&øPö#üTú üTöß÷ký ý-þ¶ößú-û ÿ Jü÷|ý øSþ ûPøYö#ù-ùOøNûNüþ¶ø þßý 8éû ø NéûPþ þø cøüTýNöüTý ø+ößý üTýYNý ößýOýOþrþ ößø ú ú kùOø ù¾ßûNú Nþ¶þ¶û;ý öû ÷kNøSþ þ ø ø cøPöøwø ûPûNö þrü|ý ý&ößý /ú üT/ý õ ø9ø ý /÷iüTú ú ø |Pþ¶üqø /øüTý
÷|ø |úùOù û3û&ø üTý m÷ú ù¾û/ø üTý¸ö ø qø /÷1ø kú ù |û&ü üÿý øJ@÷ú ú cøù¾ûcø ùOøPüøYùOûNþ¶øþßý |éû ýWNù þ|ø øzcøú |&üTý-ú öùOø¸þ¶ýOý ÷|þßwýWø öéý ûPþxøNø¸üT÷|ûcøS÷(þ ßûNúþþüTüTýû;möù ÷ |ø ¶ûPø ö /ú¶ý øPNüYþ¶û û
ÿ|ûøPöÀöú üTýú kûPù-öiø ù¾ßûNú Nþ¶þ¶û;ý öû ø Nþ /ýø cøPö?øößúù¾û UøNý ÀüTû;÷kö ýWöûûzößößú û cøSÿ ÷ ößú¶úùOû ú (ùOø ¶ú Pø+ûPö ú iý-ÿ úøPýOöþ ýüø+ößý-öùOýùOú-û ÿ ý-ö ßþ ø ý ÿ ù¾/ýúþ¶Où þ¶ûzú ßüTû ýù¾ûNýcþ¶þ¶þ¶ý ýO÷û Nþ¶ý-þ ößø ý cø¶Pø ö
÷kõ øNøS|ö þ ù¾øú cøý ûPYöfþ¶û üTþß|ýWý øPöFöùOø úéüþ ýßù ýWöiú ø9ß÷|û9þßøNýWöþküý¸ø ÿ /ý÷þ¶ý-ßößþ¶þ¶ýûPý-öfùO¶öú ø (û ý/üTýûPûPöxöaßþ ý-ý øNö[üký ø/÷ø3ÿ |ý üøSûPùOþxöú ý-üTøNö üTý&¶øûPõ þ¶ø3ý-ù¾üTú ý üTû;öiößý ý øNüTý ø¸hÿý-ößö øPßý-þöù-ø ù¾üTúWû ýÿ ößú qUþ þ ÷|ú üTú øSüTûLþ û+ørößöúý ú øSÿ/ûøNÿ÷ ÷ ¶TßúüTùOú ù¾ýû û éû/ßüTú5ý ý /÷ûPö (ý wû ø þ¶¶û ûNû kþ¶¶ý-øø ö
/ûõ ;ö ¶Uþ¶øP÷küTøSû þ ø
ø /÷ ú |üLüT;ý mý cõ ý |÷(û ¶÷|ý øN|þ¶ùOø úø küTýþ¶ýO÷(ûPößû |þßýWù @ý ý |Lù¾ú ý øN(öi÷(üTû ýaßý üT|ú öù¾÷kú ø øSmþ¶ûüTýþ¶ýO÷(ûPößû ø /÷ ú |üLüTý
ÿ /ýOþ¶ûUüTýüTúöß÷|øNþßû;özý ÷|øNþ¶ø éû;ö ßþ¶ý-ö/ù¾ûPþßþ¶ý û Pþ¶ø /øPö /ûPö ßþ øNüTû;ö
üúöß÷|øSþ¶ûPö
"²
K
³³ § > ³
>
³
>\
µ´ ³´
& >
6 ¶
¯ ³>
>KO Z
c6j
l
p· µ O
@
¹ 0
Z§c>¸
b =
³ ¶µ> ¶ º@ » ¹
¹=
> b¼ ¸
T
>
³
> ½ p ¯
>K ³´ c
)@
& O·
º ³>
µ6 b 6
> § 6
0
O
& pd ¾ y
> O
M>U
¹ § K ¶ 0
I¾ O
2¹
a¸
G
> §¼
© B
)
U[
Zbcn¿
>D¹
B
³ I µ>
³
6 pd
][[
Z§c
& & \
> >
MU
U[
¸
j
0
³ 0
r &
r ³ ¶8 0
M>U ¸
U[ l¸
;
6
f
> p > 2 j
a Ml¸
O ²À ¶
B6 b y
Á
µ G
´
K p
B´
" &
O 2GÂ µ ¸ c
Z
½
§ >I
b b K
A
µ M a
)
§¼ )L J L
³6 b &
O
I j
¸
§
pd
)L J L
³
¹ pd
Zbc ¿ ] [N0Ã>ÃwQÄ
¸
¿ ^>[QR>¸
_L J L
½
¹ wÅ ~´
Zbc ¿ U aN&TUVQÄ
l
ZÆÇ][>[È>É9R&ÊAË>ÌÍRÎR>¸
´
|´
E G
b
cEÆÏ]]³ÐaM^)È>ɧR&Ê2ËÌÍRnÎR
c
U [[[
O
@]æ
©mª6ÄJª}®r§a® c ¤ c£¨ ±Å¯®z§®z¬ ¢f¡q ¤N¨Æ¯® ¢i¡ ° £¡ Ç ®9¥°¨Y¬
Üç>;V-467W,;VW46%RQEQV-%QÜJRQ,cA10kV80(R10RQ,c=G0+*W46'UEQ=K0k>;4T%(B :CI(=64G'X467w0k:QRQ%L=K0+RQEQVW0(>;4@%JB :RQ,c=K0+'X4G*-'h090+EQ:X7W4G,P')Ai%
AFVW,P{|W0(RQ%X,;:d>@0(*-%)RQ,:Q%>P%J:Q*W,PtJEQ46VW*W,q=G%(*LÞ?o(JURQ4G*-A10(V-%J*Y,;:d=K0U:Q,PEQVW%J:Q0XAi%J*-7W*W46:Y0(B AF7W4G>@0?o
p#:
EQ:10*W46'UEQ=K0k>;4T%(B :RF,lEQ:·>P4GV->;EQ4n78%">P%J:>P%J:Q,SMF4@%JB :·'X%J:Q%J*-4G:Y0kB AF7846>@0s,NM?>;4n7w0(RQ%(V80FI/>P%J:·=6%J*
AQ0(V10(B 'X,P7WVW%J*9,;*-710(B :QR10kVq,P*-780(jQ=G,P>;46RQ%J*+,P:=G0h*W,P>;>;4@%JB :Þ?oéHFIaÞ?oéJJRQ46*WA10(V-%J*+,P:_feq*-%J:s*WEF{Q>;4G,P:m78,;*
AQ0(V80X>;%J:Q*-,;tJEF4GVLEQ:l>P%JVWV-,;=G%(tJV80(')0<y]EQ,\>PEQ')AF=G,q,;=>;V-4678,PVW46%XRF,\*W46tJ:Q4n{1>@0(>P4T%JB :v46:]7WVW%5RQEQ>P4GRQ%X,;:,P=
>;0(ADB 78EQ=6%)H?ocp#*-78,:+EQB 'X,;VW%RQ,qRQ46*WA10(V-%J*L*W,q>;%J:Q*-4GtJEF,>P%J:lEQ::+EQB 'X,;VW%)0(AQV-%@MF46'h0kRQ%RQ,)TÞJÞ?oéJJ
AQ0(*W%J*9RQ,U*W46'UEQ=G0(>;4@%JB :CoYê,P:Q4G,P:QRQ%,P:>;EQ,P:m7w0y]EQ,U,;=')%5RQ,P=G%XRQ,U:Q,PEQVW%J:Q0h,;*O7À0B RQ46*W, :10kRQ%h,P:=K0
,P*W>;0(=K0YRQ,z=K0(*R¸,PB >;46'h0(*RQ,r'X4G=64G*W,PtJEQ:QRF%QIT,;*O78,z:+EQB '),PVW%YRQ,zA10(*-%J*RF,z*-4G'UEF=K0(>P4T%JB :,Py5EF462k0(=G,z0Þ S
RF,0(>P7W46254GR10kRl:Q,PEQVW%J:Q0(=¶oqp#:EQ:%JV-RQ,;:10kRQ%JV+Ai,;V-*W%J:10k=>;%J:EF:AQVW%5>;,P*80(RQ%(V :]7W,;= ,;:m7846EQ' \I
0 8 FIi,;*O78%J*9A10(*W%(*9RQ,*W4G'\EQ=K0(>P4T%JB :d*W,\>;%J'XAQEF780(:CIi,;:AQV-%J'X,;RQ46%QIÀ,;:H Jo 0(V80)>;%J:Q*-,;tJEF4GV
,P*-7W%J*a7W4G,P')Ai%J*CRQ,r>C%JB ')AFEF78%Y,;=m'X%5RQ,;=6%c*W,z.10c4G'XAQ=G,P'),P:]780(RQ%c,P:U$ UIk%(AF7846')46u@0(:QRF%c0(=J'0|B M?4G'X%
=G0U,P{1>P4G,P:Q>;4G0XRQ,P=>%JB RF4GtJ%Qo
ÃL:'~,NB 78%5RQ%hRQ,\j+EQB *Wy]EQ,PR10RQ,U>P%J:Q,NM?46%J:10(RQ%(*9y]EQ,<'UEQ,P*-7WVW,;:>P%JVWV-,;=G0(>;46%J:Q,;*3RQ,U0k>P784n254GR10(RF,;*
*-4G'UEF=K0(V-,;*L0hEQ:>;4GV->;EQ4n78%)')%J:F%J*W46:Y0(B AF7W4G>;%,SMF>P46780(RQ%JVLRQ,;ji,\AFVW%Jj10kV9>;%(:lRQ46*-7846:m7w0(*L>;%J:?{1tJEQVW0(>;46%k
:F,;*78%JAi%J=T%(B tJ4G>;0(*;o 0kV80>;0(R10sEQ:10RQ,,P=G=G0(*;Iz:Q%*1%JB =6%,P*h:Q,P>;,P*80(V-4G%VW,@0k=G4Gu;0(V<EQ:10s*W46'UEQ=G0(>;4@%JB :
RF,)=G00(>P7W46254GR10kRCI*W46:Q%QIAf%(*-78,PVW46%JVW'X,;:m78,kI>@0(=6>;EQ=G0(V,;=#>P%JVWV-,;=G%(tJV80(')0h>PVWEQu;0(RQ%lRF,XRF4G*WAQ0(VW%J*y]EQ,
RF,;ji,\>;%k78,¾W0kVW*W,>;%J:,;=>;%(VWVW,P=G%Jt(V80(')0<')%J:F%J*W46:Y0(B AF7W4G>;%Fo 0kV80)EF:10)*-4G'UEQ=G0(>;4@%JB :RQ,>;4GV->;EQ4n78%X')%|
:F%J*W46:Y0(B AF7W4G>;%>P%J:X=G%J*2k0(=6%JVW,P*#,;*-710(B :QR10kV;I]VW,P>;%JtJ46,;:QRF%UÞ?oéJJ+RF4G*WAQ0(VW%J*r,P:)_fe@I],;=Q7846,;'XAf%:F,;>;,P*80(V-4G%
AQ0(V80s>@0(=6>;EQ=G0(VEQ:>P%JVWV-,;=6%JtJV80k'h0>PVWEQu;0(RQ%"RF,RQ46*WA10kVW%J*X,;*PI/,;:}AQVW%J'X,;RF4G%QIzRQ, @ ^[7W4G,P')Ai%
,P*-7W4G')0(RQ%dA10(V80dEQ:"AFVW%5>;,;*W0(RQ%JV :m78,;= ,P:m784GEF' \Ia0 8 FIabEQ:AQVW%(tJV80(')0v%JAF7846')46u@0(RF%
,P*W>PVW467W%),P:$ gNo
p#:=K0h7w0kjQ=K0v?oéH*W,'UEF,;*-7WV80(:sAQV-%J'X,;RQ46%J*RQ,U7846,;'XAf%hRQ,>%JB 'XAQEF7W%A10(V80*-4G'UEQ=G0(>;46%J:Q,P*+RQ,
>P4GV->;EQ4n78%J*'X%J:Q%J*-4G:Y0(B A?784G>P%J*C,SMF>P46780(RQ%JV-,;*a>;%J:RQ46Z[,PVW,;:m7W,¸:9EQB 'X,;V-%YRQ,¸RF4G*WAQ0(VW%J*,P:\=K0c:Q,PEQVW%(:103Ai%J*-7O
*-4G:Y0kB AF7846>@0FoL´%J*37W4G,P')Ai%J*LRQ,\>C%JB ')AFEF78%h0(EQ'X,;:m7w0(:lRQ,\')0(:Q,PV80)=64G:Q,;0(=>;%J:?Z[%JVW'X,*-,\46:Q>;V-,;'X,;:m7w0
,P=:+EQB 'X,;VW%<RF,qRF4G*WAQ0(VW%J*YV-,;>;%(tJ4GRQ%(*c,;:d_xeTo
ê0(jF=K0X?oéHF Cúý /÷(ûPöüTýrù5û ÿ /÷ ¶û/üýröú øNùOúéû ý-öCüTýrùOúéþ ù |ú ¶ûPö /û û;öú øNÿ ÷ ßú ù¾û;öfý ù¾ú ¶øNüûNþ¶ý-ö
D}
{v ½t
\Ñ
ªv ³Ô¾ÕfÖ
ÒÑ0Ó
³t
B×Á×
wv ¯t
Ñ
ØÑ0Ó
ªv ³ÔÕfÖ
B×Á×
ºÙ
O
³
>
p
O
Ú Ü "!&%I?>!
Û
5½(+*$3&%*6!< ´ c
n*%n*6?>!
Ý (Þ Ü -/(% <
~(,!;3%@?>!
ß % ;3 Ü #9% Z
~(,!;3%y?!
ß % ;3 Ü #9%@?>!ß %&!-%&.&"
M [ [>[
]nMM [ [>[
a)R
[N]wR
U [ [>[
a>[P [ [>[
Ã=Nd)R
[NdM>UR
][ >
[ [[
M[ [ [>[
]FUN&a)R
[NdU)R
U[ >
[ [[
a [ >T [[[
ÃN]{R
MN&aUR
p#=784G,P')Ai%RQ,\>C%JB 'XAQEF78%X:Q,P>;,;*W0(VW46%hA10kV80)>P%J:Q*-,;tJEQ46V3EF:l:9EQB 'X,;V-%)RQ,N78,PVW'X4G:10(RF%)RQ,qRQ46*WA10(V-%J*
@ mí
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
,;:_xeXRQ,;Ai,;:QRF,dRF,d=G0(*<>@0kV80(>N78,;V;DB *O784G>;0(*URQ,v=G0VW,;Ry]EQ,v*W,v*W46'UEQ=G0Fo 0(V8078,P:Q,;VEQ:Q046RQ,@0RQ,
,;*-7W%J*¸7W4G,P')Ai%J*bRQ,L*WEh2k0(V-4K0(jF4G=G46R10(RCI|*W,3=K0(:Fu@0(V-%J:)Þ (Jq*-4G'UEF=K0(>P4G%J:Q,P*#RQ,9V-,;RQ,P*¸RF,:Q,;EQV-%J:10(*
^*W46:>;%J:Q,SM?4T%JB :X')%(:Q%J*W46:Y0(B AF7W4G>;0+,;:m78V-,3_`b<_feNgNI]>;E?bm0>;%J:F{QtJEQV80k>;4T%(B :^[A10(V10kB '),N78VW%(*{1*W46%J=T%JB t(4G>;%(*b
78%JAi%J=T%(B tJ4G>P%J*wgÀ*W,#%JjF7WEF2J%LRQ,#')0(:Q,PV80Y0(=G,;0k78%(VW4K0rb+RQ,P:m78VW%LRQ,r=G%(*CV80(:FtJ%J*C{kW0(RF%J*,;:=K0k*C7w0(jQ=G0(*?onb
?o Þ5IJ>;%J:EQ:)Þ( RQ,c:F,;EQV-%J:10(*#46:Q.Q4GjF4GRQ%JVW0(*a,;:=K09V-,;RCopr=FAQVW%J'X,;RF4G%+RQ,/7W4G,P')Ai%+A10(VW0+>;%J:F*W,;t(EQ4GV
Þ (JRQ4G*-A10(VW%(*,;:_xeq,;:",P*-780(*VW,;RF,;*Z[EQ,RQ,)Þ(( JI>;%J:EQ:10RQ,P*-254K0(>P4T%JB :,;*O7À0(B :FR10(VRQ,væJÞ Jo
,378%5R10(*&,;*-780(*/V-,;RQ,P*;I1*1%(B =G%U,P=T ñRQ,9,;=G=G0(*&%(VW4Gt(4G:Y%qB >;%JV-VW,P=G%JtJVW0(')0(*¸RF,+_a`¸0\_feY*W4Gt(:Q46{1>;0k784n2J%J*Po
?,4G'XAQEQ*W%vEQ:7846,;'XAf%'0|B M?4G'X%RQ,)km l^d'X4G:]EF7W%J*wg9AQ0(V80RQ,N78,;:F,;V\=G0*W46'UEQ=K0k>;4T%(B :,;:">;0(*W%
RQ,:Q%)>P%J:Q*-,;tJEQ46Vc=G%J*LÞ J(RF4G*WAQ0(VW%J*c,P:l_fe@o3^êa%?RQ%(*L=6%J*&7W4G,;'XAi%J*/Z[EQ,;V-%J:d'),PRQ4GRQ%(*c,;'XAQ=G,;0(:QRQ%
A10(V80<=G0(*c*W46'UEQ=K0k>;4G%(:Q,;*/EF:AQV-%?>P,;*W0(RQ%JV :m78,P= +,;%(:CIi0v Sæ Fog
%JV&%k78VW%q=K0kRQ%QI],;:=G0{QtJEQV80\?oÞ*-,9'UEQ,P*-7WV80(:,-,;'XAQ=G%(*zRF,9>;%(VWVW,P=G%Jt(V80(')0(*#'X%J:Q%J*-4G:Y0(B A?784G>P%J*
,NM?>;4n7w0(RQ%(VW,;*&A10(V80RQ46Z[,PVW,;:m7W,;*c:9EQB 'X,;V-%J*¸RF,+RQ4G*-A10(V-%J*/,;:_fe@zÞ?oéJJFIF?oéJJFIiTFoéJJbkFo(J\RQ46*O
A10(VW%(*;o#´%J*#>P%JVWV-,;=G%(tJV80(')0(*y]EQ,Y*-,L'\EQ,;*O78V80k:),P:)=G09{1tJEQVW0>PEQ'XAQ=G,P:X,P=1>;V-4678,PVW46%RQ,Y*W4Gt(:Q46{1>;0(>;4@%JB :
,;*-780(jQ=6,;>;46RQ%,;:,;=>@0(ACDB 78EQ=6%HFo\´a0AQV-4G:Q>P4GA10k=RQ4nZ[,;V-,;:Q>P4K0,;:m7WVW,,;=6=G%J*+,P*-710vB ,P:s=K0hZ[%JV-'h0,P:y]EQ,
,;=iVWEQ46RQ%\*-4G:Y0(B A?784G>P%^[4GR¸,PB :m784G>P%\A10kV80\=G0(*¸*-4G'UEF=K0(>P4G%J:Q,P*rRQ,9=6%J*¸>PE10k7WVW%\>P%JVWV-,;=6%JtJV80k'h0(*r'X%J*-7WV80(RF%J*wg
*W,'h0k:Q46{1,P*-780,P:,P=C>;%(VWVW,P=G%Jt(V80(')0Fo ,,P*-7w0<Z[%JV-'h0FI?=K0\2k0(V-4K0(jQ46=G46R10(Rh,P:=G0(*cj10(V-V80(*cRF,q=G0U= DB :Q,@0
j10(*80k=RQ,P=>;%JV-VW,P=G%JtJVW0(')0)RQ46*W'X4G:]EFbJ,^VW,P*WAi,;>N78%d0(=AFVW%J'X,;RQ46%RQ,<=G0hj10(*W0(=¼gY>;%J:FZ[%(VW'X,\*W,<46:Q>;V-,N
'),P:]780U,;=:9EQB 'X,;V-%URQ,RQ46*WA10kVW%J*cV-,;>;%(tJ4GRQ%(*c,;:v_xeTo %JVc>;%J:F*W4Gt(EQ4G,P:]7W,(IQEF:0kEQ'),P:m78%RQ,;=x:+EQB '),PVW%
RQ,3RF4G*WAQ0(VW%J*z,;:)_xe&Z0k>;4G=646780+=K0%JjF7W,;:Q>P4T%JB :)RQ,3>P%JVWV-,;=6%JtJV80k'h0(*r*-4GtJ:Q4n{1>@0|78462(%J*;o?4G:X,;'\j10(VWt(%QI]A10(V80
>;%JV-VW,;=6%JtJVW0('h0k*')%J:F%J*W46:Y0(B AF7W4G>;%(*q*-4GtJ:F46{1>;0k784n2J%J*PIa=G0dV-,;=G0(>;4@%JB :,P:m78VW,)=K0d0('XAQ=G4n78EQRRQ,P=¸AF4G>;%dbs=K0
0(')AF=G467WEQRqRQ,/=K0L= DB :Q,@0Lj10(*80k=?RQ,P=F>P%JVWV-,;=G%(tJV80(')0YAf,PVW')0(:Q,;>P,/4G:Q0(=67W,;V80kR10L>P%J:FZ[%JV-'),¸*W,/46:Q>;V-,;'X,;:m7w0
,;=:9EQB 'X,;V-%<RQ,RQ4G*-A10(VW%(*;o
$&%(:%(j5-,P7W%RF,d.Q0(>;,PVU2?4G0(jQ=6, e ^,P:7W4G,P')Ai%J*\VW0(u;%(:10(jQ=6,;*wg\=G0lj9EQB *-y5EF,;R10sRQ,>;%(:Q,NM?4G%(:10(RQ%J*
0(=67W,;VW:Q0k784n2J%J*90(='X%J:Q%J*-4G:Y0kB AF7846>;%^[4G:QRF,;Ai,;:QRQ46,;:m78,P'),P:m78,RQ,;='~,NB 78%5RQ%RQ,Uj9EFB *Wy]EQ,;RQ0v,P=G,PtJ4GRQ%mgL,;*
AQVW,P>;4G*-%v=G4G'X46780(VY=K0RQEFV80(>P4T%JB :sRQ,<=G0(**W46'UEQ=K0k>;4G%(:Q,;*Poêa,;:Q46,;:QRF%d,P:>PEQ,;:m780d=G0(*+>;%(:Q*W46RQ,;VW0(>;46%J:Q,;*
*W%JjQV-,)7W4G,;'XAi%J*RF,h>%(B ')AQE?78%l,SM?AQEQ,;*O7w0(*<,P:=G%J*qAY0(B V-V80kZ[%(*\0(:m7W,;VW46%JVW,P*\A10kV80l>P%J:Q,NM?46%J:Q,;*')%(:Q%k
*W4G:c0(B AF7846>@0(*z,NM?>P467w0kRQ%JV80k*;IF*-,9,P*-7w0kjQ=G,P>;,+,P:vÞ?oéJJ,P=x:9EQB 'X,;V-%RF,+RQ4G*-A10(V-%J*%(B AF7846')%q,;:_fe&bX*W,9{kW0
,;:Þ(J éJJ),;=#:9EQB 'X,;V-%'·0B MF46')%)RQ,A10(*-%J*RQ,<*W46'UEQ=G0(>;4@%JB :lA10kV80>;E10k=Gy]EQ4G,PV+>;46VW>PEQ467W%:Q,;EFVW%J:10k=¶o
$&%J')%l*W,h254G%l,;:,;=¸78,;')0lQI0(=GtJEF:10(*\>P%J:F{1t(EQV80(>P4G%J:F,;*URQ,h>;4GV->;EQ4n78%J*\0(:10(=64Gu;0(RQ%J*qAQVW,P>;46*80(:RQ,
EQ:s'h0@bJ%(V:+EQB '),PVW%RF,<RQ4G*-A10(VW%(*,;:s_xebRQ,<EF:s7W4G,P')Ai%RQ,>%(B ')AQE?78%')0Tb(%JV+A10kV80>;%J:F*W,;t(EQ4GV
EQ:}>P%JVWV-,;=6%JtJV80k'h0*-4GtJ:Q4n{1>@0|78462(%Qo %JV,¾-,;'XAQ=6%QI¸AQ0(V80=K0{1t(EQV80QonT}^RQ%J:FRQ,v*W,v'UEQ,P*-78VW0EQ:
>;%JV-VW,;=6%JtJVW0('h0AFVW%5>;,;RF,;:m78,dRQ,dEQ:10s*W4G'\EQ=K0(>P4T%JB :RF,dEF:>;46VW>PEQ467W%>P%J:,;:m78VW0(R10>P%J'EFB :,NM?>;4n7w0|
RQ%JV80vRQ46*W4G:c0(B AF7846>@0mgL*W,XVW,;>P%JtJ46,;VW%(:}T?oJ(vRF4G*WAQ0(VW%J*,P:"_xeqRQEQVW0(:m78,XEQ:7W%(7w0k=#RQ,vT qA10(*W%(*RQ,
*W4G'\EQ=K0(>P4T%JB :xoÁ^[³9RQ,P'·0kB *;I/A10kV80s>;%J:Q*-,;tJEF4GV,;*O78,l>P%JVWV-,;=6%JtJV80k'h0lZ[EQ,dAQV-,;>;46*W%j10W0(V=K0k*Z[V-,;>PEQ,;:?
ý ¶ýOþ¶û 1ý ÿ ý-û
üý 1øNûNþ¶þ øüTýý ||øP÷üTþ¶ûTûNù¾þ¶ý-ý-ößö ûrüTý |ÿ ö |ý-üørüýù¾û ý Túû |øPüTûPö1ø ¶ýOþ |ø ¶ú PûPöÀößý |ø¸üTú ö÷ |ý-ö ßûzüTý
{à
ªq
{à
6t
½t
rq
³t
~à
IÑ
á
Av ºÔ¾ÕfÖ
wà
Aâ
c L
][
¯K d>
L
ã j
l
> p d e
b
¯ / - Ü *#H! ©mª6ÄJª}®r§a® c ¤ c£¨ ±Å¯®z§®z¬ ¢f¡q ¤N¨Æ¯® i¢ ¡ ° £¡ Ç 9® ¥°¨Y¬
A
@m
B
80
150
disparos
disparos
60
40
20
0
−50
50
0
−50
50
D
300
1500
200
1000
disparos
disparos
C
0
tiempo (ms)
100
100
0
−50
0
tiempo (ms)
50
0
tiempo (ms)
50
0
tiempo (ms)
50
500
0
−50
&ûþßòýW4Gù¾tJûEQPûPúéVWößý-ú0þßû øSÿ ?÷ o ¶Þ5úùOdû+õ ý [ýüTù¾/÷úú ö¶÷køPøSüTûPþ¶ûNö/ûPþ öüTýýüTý ùOûNþ¶þßý ø Géûÿ NýWþ ø ø cø|ù¾ûøPNößö ø /ûQ8ø üéýûPÀûPþßýWù¾ößöúûPaþßý-øSþ¶ÿ ö ÷ý k¶ø ûÿ ú|ùOPûPüþ¶øö¸øScøþ#÷÷kþßûTøSùOþ /ýý-ø üT-ýüTûPú örü¶ý-ø+÷|ö/øSù¾þ(üTû ø ÿý/û/ýöß3ú ¶ý þß1û;ö#÷øPþßüTù¾û úý /ýû -&ûýWüTö¸Túû9üTüýýüéýû 9høNõ ö ùOúé|þ øNù "þßþ ú ßøNöûýö
ýüTý éøû;ö |øPößø ÷þ¶Yú &ýõ -þßû;ö /úöý/éúþ¶ößý-ý ùOû N|úýOüTþ¶ûPû ö/üTý ù¾ûNþ¶üTþ¶ýú ö÷kû NøSþþ¶øûPcøöý Kÿ |ý-üTø ýWö|@øNú ö¶øNø ù¾1úWû ÿüTXý iý-öù¾kûPø þßÿ kþ¶ý üøSû þ/Pþ¶üTø ý cøø |øPößø üTýWö @ú øNùOú-û ÿ
ý-üTö ý kxø ÿ ù¾kûNüþ¶øSþ¶þ/ý ûüTNý þ øø cø|øPößø üTýWö @ú øNùOú-û ÿüTý ýWöø (ø ÿ||øNüö¶øNø þr)üTý õ ø |øNö¶öø ý9þ¶ý-ù¾û NúýOþ¶û üý ø küTøNúößö¶÷|ø øNþßLû;özõ ý ößýcKþßÿ ýWý-ù¾ûø N|úýOøNþ¶ö¶û ø
üý-Tö¶ý ùOø ø ø |TüTøN÷kúö¶øSößø þ ÷|øzøSþ¶÷(ûPûTöxüTý ý ýOkþaý øN¶÷ý þ¶ý-Ký-ù¾ÿ þ¶ú øSößý-ýcþ ø /ýý |øP[ößùûPø þ ]ý üTøNý ö]ø üTùOûNú |þ¶ýOþßýþ¶ý ý éé|û û;ùONö#úþ øPøý öC[cøýWý ö ßþ¶ýýüTúéößû;÷|ö øNüTþßýW?û;ö öø/@ú þ¶øNüTø ù¾ýßúWúû û/ÿ 3ûP÷özý-úöùOù¾kûûNø ÿþ¶|þ¶|ýüøNøSö¶û þø NJþüTøý-ý cøöüøPýöa|ýWøNö ö¶(ø ø ÿ <ý øûPüTöú ù ýO|þ¶ýø ¶þßßûý
ù¾üTûNúö þ¶¶þ¶ø ý |û ù¾Nú øþ ø ÿcøø PTö?ú üT/øý cø üý þ ø ø /úþßýWüTüTúýý-|üüTûNûþüTøzý ø /÷ø |øNú þßþ|ø¸üYüüTýzý kø ÷/÷ú ù¾û¸ú ù¾|û ü/ûÿ#ýø kT÷ú /øþ¶û c/ýüWý üT5úéûrùOûNüþ¶ýþßý éøNû ö Nþ|ø øNcøþßþ øNöiö|ú þß|ýWøPù üøNý |öiù¾ø ú øc|üTøý
üTúöß÷|øNþßû/üTý
üý
r¼ > º > O
>
6
y
> O
I´ ´
> b @
)
2 )åä
j
Z
cnl
> ¾´
IK >
>
G µK
M [[>[
c¸ »
j
³
b
b K 8
]F[
l ]PN&¸
^2N&a j8M>M
B yK çæ
©´
» yK
b
>
l
U [[[
c¸
^PNda¸
b K 8
y K ß
>
å´
EK
N&a|j§]a
l
]F[ [[[
c¸ »
b
> § B K $
I K ) 5
>
PPNb^2¸
PNþj,PNdT
l
y´
» 6K >
b
b GK $
U[ [[>[
^P>UNb^¸
M[N0Uj,^N]
c ¸
I K ` K B \> I
§¼ è
B
§ · l
j
l
¹
§¼ e
· Â
=éK y
]NdU
¯ º
6 pd
; fK
&
º
j
b "
º BK
pd
> VÅ MVQR
l
º´
µ´
Z ¿ ]F[[È>ɧR&Ê2ËÌÍRnÎR>¸
c ¿ ]UfÈɧR&Ê2ËÌÍRÎR
(
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
>;4K0k*URQ,RQ46*WA10(V-%RQ,=K0k*U:Q,;EFVW%J:10k*<RQ,;=/>P4GV->;EQ4n78%02k0(=G%(VW,;*\'UEFbAf%JV\RQ,;j10T-%RF,=G%J*U,P*-710(B :QR10(V
ë ÞJ
LA10(V8078%5R10(*¸=K0(*z:Q,;EFVW%J:10k*-ôßIFVW,PRQEQ>P4G,;:FRQ%UA10(VW0,P=G=G%q,;=iVWEF4GRQ%*W4G:c0(B AF7846>;%Qog³3=GtJ%
*W4G'X4G=G0(V/%5>;EQV-VW,q,;:,;=>@0(*-%RQ,P=a>P4GV->;EQ4n78%XRQ4G*-4G:Y0(B A?784G>P%,NM?>;4n7w0(RQ%(V3RQ,q=K0<{1tJEFV80)FoéQI1y]EQ,AQVW,P*W,P:]780
>@0(VW0(>P7W,;V;DB *-7W4G>@0k*q*-4G'X4G=G0(VW,P*0(=#>;46VW>PEQ467W%d'X%J:Q%(*W4G:c0(B AF7846>;%v,NM?>P467w0kRQ%JV;IaAi,;VW%dAQV-,;>;46*80Tv2(,;>P,;*\'0(B *
A10(*W%(*URQ,*-4G'UEQ=G0(>;4@%JB :y5EF,·,;B *-7W,A10(VW0l>;%(:Q*W,PtJEQ4GV\,;=&'X4G*-')%d:9EQB 'X,;V-%lRQ,RF4G*WAQ0(VW%J*\,;:_xe;o %JV
7w0(:m78%FIx*W,\Af%J:F,URQ,U')0(:Q4n{1,;*O78%y]EQ,U=G0)V-,;*-7WVW46>;>;4@%JB :>P%J')AFEF7w0(>P4G%J:Q0(=RF,;=7W4G,P')Ai%)RF,U>%JB 'XAQEF7W%hb
,;=:9EQB 'X,;V-%RQ,URF4G*WAQ0(VW%J*RF,U_xe*WEFAf%J:F,<EQ:10=G46')4n7w0(>P4T%JB :vy]EQ,<RQ,Pjf,0(*-EQ'X4GVW*-,U,;:s,P=AQVW%5>;,P*W%RQ,
j+EQB *Wy]EQ,PR10lVW,;0(=G46u@0(RF%Qo´0(*q>;%J:F>;=GEF*W4G%(:Q,;*qRQ,;V-462k0(R10k*RQ,),;*O78,hAFVW%5>;,;*-%RQ,Pjf,P:78,P:Q,;V,;:>PEQ,;:m780
,;*-780(*YVW,P*-78V-4G>P>;4G%(:Q,;*Po
ê
ºërìtFíîrï2ðAtñªt
vÈ É
Ó ÏLÐ9ÒXÑ Ó Ô Î Ô Ð@ÕÚ× Ó ÏLÐ;× Î Ó ÚØ#Î Ï Ò ØrØ#ÎÌ Ò Ør×\Ù ×UÕ
³9:m78,P*RQ,sAQ=G0(:m78,;0(V=G%J*Ai%J*-4GjQ=6,;*'~,PB 78%5RQ%J*RF,j9EQB *-y]EQ,;R10~RQ,s>;%(:Q,NM?4G%(:10(RQ%J*d0(=n78,PVW:10k7W462(%J*v0(=
')%J:F%J*W46:Y0(B AF7W4G>;%FI5,P*/AQV-,;>;46*W%<RQ,N78,PVW'X4G:10(VzEQ:10\Z[EF:Q>;4@%JB :y]EQ,,P2k0(=kEQB ,3=G0RQ46*-780(:Q>;4G0\,;:m7WVW,+EQ:>P%JVWV-,N
=G%JtJVW0(')0d'X%J:Q%J*-4G:Y0kB AF7846>;%d,NM?>;4n7w0(RQ%(V\RQ,V-,PZ[,PVW,;:F>;4K0db">PE10(=Gy]EQ46,;V%(78V-%l>;%(VWVW,P=G%Jt(V80(')0d%(jF78,P:Q4GRQ%
RQ,=K0l*-4G'UEF=K0(>P4T%JB :RQ,%(78V-%>;46VW>;EF4678%Fop#*O7w0Z[EQ:Q>P4T%JB :RQ,RF4G*-780(:Q>P4K0RQ,Pjf,,P*-7w0kV<RQ4G*-, :10(R10A10(V80
*W,;V3EQ:10h'X,;RF4GR10RQ,U=G0X*-4G'X4G=G4n78EQR,P:m78VW,U0('Uji%J*3>P%JVWV-,;=6%JtJV80k'h0(*Yy]EQ,Af,PVW'X467w0RQ,N78,;V-')46:10(VL*W4a=K0
78%JAi%J=G%(t1DB 00k:10(=G46u@0(RQ0vAFVW,;*-,;:m7w0EQ:10>P%JVWV-,;=G0(>;4@%JB :sRQ,)=G0(*q0(>P7W46254GRQ0(RQ,;*RQ,X_a`9bs_xe*W4G'X4G=G0(V0v=K0
,;:Q>P%J:m78V80kR10X,P:EF:>P4GVW>PEQ467W%<')%(:Q%J*W46:Y0(B AF7W4G>P%<,NM?>;4n7w0(RQ%(V;o
´%UAFVW4G'X,;V-%\y]EQ,*-,+:Q,;>P,;*-467w0U,P*/EQ:>P%JVWV-,;=G%(tJV80(')0')%J:F%J*W46:Y0(B AF7W4G>;%q,NM?>P467w0kRQ%JV 5½+¿8½ @½N¿w½ Nº
>;%J:d,;=y]EQ,q>;%J'XA10(VW0(Vc=G%J*c>P%JVWV-,;=6%JtJV80k'h0(*&%JjF78,P:Q4GRF%J*Y,;:l>;0(R10>;46VW>;EF4678%y]EQ,0(:10(=64G>P,+,;='~,PB 78%5RQ%
RQ,hj9EQB *-y]EQ,;R10?olp#:=K0{1tJEFV805oHl*-,h'UEF,;*-7WV80l,P=¸>P%JVWV-,;=6%JtJV80k'h0RQ,)VW,PZ[,PVW,P:Q>;4G078%J')0(RQ%d,;:=G0(*
*W4G'\EQ=K0(>P4G%J:F,;*RQ,P=zAFVW%5>;,;*-%lRQ,Xj9EQB *-y5EF,;R10Fo 0(VW0'X4G:Q46')46u@0(V3,;=r,PZ[,P>P78%RQ,;=rV-EQ4GRQ%v*-4G:Y0(B A?784G>P%QI,;=
>;%JV-VW,;=6%JtJVW0('h0U*-,\.10%JjF7W,;:Q46RQ%XAQVW%J'X,;RF4K0(:QRF%)=6%J*Y>;%JV-VW,;=6%JtJVW0('h0k*/AQVW%5>;,PRQ,;:m7W,;*+RQ,XTJ*W46'UEQ=G0|
>;4G%(:Q,;*cRQ,EQ:d>;46VW>PEQ467W%<')%J:F%J*W46:Y0(B AF7W4G>;%\,NM?>;4n7w0(RQ%(Vc>;%J:2k0(=G%(VW,;*c,P*-710(B :QR10(VYA10kV80<=G%J*&A10(V10kB '),N78VW%(*;o
$/0(R10*W4G'\EQ=K0(>P4T%JB :h*W,RQ,P7WEF2J%)>;E10k:QRQ%X*W,>;%J:F*W4Gt(EQ4G,PVW%J:Þ?oéJJ<RQ46*WA10(V-%J*c,;:d_xeTo
5%J:U2k0(VW4G0(*=G0(*Z[EQ:Q>P4G%J:F,;*RQ,cRF4G*-780(:Q>P4K09,P:]7WVW,c>P%JVWV-,;=G%(tJV80(')0(*aEF7846=G46u@0(R10k*RQEFV80(:m78,c,P=FAQV-%?>P,;*-%
RQ,j9EFB *Wy]EQ,;RQ0"RQ,d>;%J:Q,SM?4G%J:10kRQ%J*)0(=67W,;VW:Q0k784n2J%J*Po %(VhEQ:}=K0(RQ%FI¸*-,l.10s,;'XAQ=G,;0(RQ%=K0 (º N» Nº
½ 5½ "½ 1»ß¿8½ (¿S¿ RQ,P=/>;%(VWVW,P=G%Jt(V80(')0RQ,hVW,PZ[,PVW,P:Q>;4G0lb,;=¸>;%JV-VW,P=G%JtJVW0(')0%JjF7W,;:Q46RQ%RQ,
>@0(R10>;46VW>;EF4678%0(:Q0(=G46u@0(RQ%Fo·p#*-780Z[EQ:Q>P4T%JB :RQ,RQ4G*O7w0(:Q>P4K0AQV-%JAf%(VW>;46%J:10sEQ:!EQB :F4G>;%s:9EQB 'X,;V-%y]EQ,
>;%J:Q*O784n78EFb(,)EQ:Q0d'X,;RQ46R10tJ=G%(j10(=¶Ix'UEFbs*W46')AF=G,(IRF,X=G0*W4G'X4G=6467WEQR,;:m7WVW,X=G%J*>P%JVWV-,;=G%(tJV80(')0(*Po´a0
RQ4G*O7w0(:Q>P4K0,PEQ>;=¶DB RQ,;0v:F%d46:FZ[%JV-'h0h*-%JjQV-,X=6%J*+RQ,N7w0(=6=G,P*+RQ,=K0*-4G'X4G=G4n78EQR,;:m78V-,=G%J*>P%JVWV-,;=G%(tJV80(')0(*P
=K0AQVW,P*W,;:F>;4K0RQ,9AQ46>;%J*z%\2k0(=6=G,;*PIm=G%J*zRQ,P*WAQ=G0(u@0('X4G,P:m78%J*r78,P')Ai%JV80k=G,;*rRQ,,;B *-7W%J*;I?,P7W>(oz?46:),P'Uj10(V-tJ%QI
=K0+*W46')AF=G4G>P4GR10kRURQ,Y,;*O7w0'),PRQ4GR10,P*z=6%y]EQ,90k>;%J:Q*-,¾W0*WEXEF7846=G46u@0(>P4T%JB :U,P:),P=1'~,NB 78%5RQ%RQ,Yj+EQB *Wy]EQ,PR10Fo
p#:*W,PtJEQ:QRQ%d=GEFtm0(V;IxR10(RQ%vy]EQ,,;=>P%JVWV-,;=6%JtJV80k'h0h'X%J:Q%(*W4G:c0(B AF7846>;%,SM?>;46780(RQ%JV9*W,>@0(VW0(>P7W,;V-4Gu@0
Af%JV#=G0+AQVW,P*W,P:Q>;4G0RF,LEF:EQB :F4G>;%AF4G>;%RQ,P*WAQ=G0(u@0kRQ%q0=G0+RQ,;V-,;>w.10RQ,P=1>;,;V-%QI]=K09Z[EQ:F>;4T%(B :<RQ,YRQ4G*O7w0(:Q>P4K0
ò
óuô
çõ
~}
\ö
§÷
ø4ù bú
ûö $ü 0úAø4ù bú
ýùþÿ ö Fú
ø
þ,úü
ú
úü
©mªFª¦± ¤ c£¨ ±Å¯®}¯+¤O¬¥ ¡ ± ¤ ¡ ®r±¥°L® ¨c°3°L®r§¸¨Y° ¡+Ç¡ ¬
?
70
60
n1
n2
disparos
50
40
30
20
10
0
−50
0
tiempo (ms)
50
úüTòý 4GtJ|EQúé\ý-VWþ¶0ùOüúéø/þ ?ù üT|oéHFý ú ¶ û ø f/ûûNþ¶|þßþ¶û;ý ø éöû ú NþøNÿ ø ÷ ý cøßú |ù¾ø&û9&ûû ý ßù¾ýúûP¶|ößøPúú üTüTûNûcøSÿ þ÷ ÷|r¶þßúõiùOû û&ýö ßýWý/üTù¾ù¾ú øûPú ¶|þßøPþ¶üTüTý û ûNû þzPûPþ¶ý öø ù¾cøßûPþ¶cýþßþ¶öý ýû ßPû þ¶/øø cø9NüTöÀfý&÷|ýWÿ þßþßøNýûTößù¾ýcýOýWþ¶ýüTý fý|ùOý-¶úö ø3ý-öC|÷|ýüTøNcøý þ¶ø üTø ý3ößúøN|ÿ þßö þ¶ú |øNý-ø ùOüFúéûø9ø üTý-øýö
ù¾ù¾ûúþ¶|ù ýTú ¶úéûû |/ûøNüûPöû;öú |øSýÿ ÷ Pßúý ù¾ûý-ýþßýù¾ú ¶øP|üTøUûNþ ù¾ûN5þ¶þ¶ûPý ö øNwù¾ø úWû ÿûNþ¶ý-üö1ýüý øNùéû;¶úöQ@÷|ú üøSøNþ(øüXÿ /ýý ¶ßþßþ¶û;ý öQüTý /ûTüTý éöûrú /úößû øSþcûPø öQý-øö kø ÷|ÿ |þßûTüüøNþ1|ùOý-úö ü|¶øqø ÷(éýWûNù¾þ ú üTûPö
ý ø\öýWùOùOÀú-ûþ¶ÿ û /ýWüTúéû/üTý ÿ /ýþ¶ý-Oùþ¶û\ý ü|ý9ùOúøPüTöú ößüT÷|ý#øSþ¶üTûPú ö¸ö÷|ý øNþßû
Àþ¶û /ý-üúéû\üTý ÿ /ý-þßûUüTý9÷|øNößûPö/üTý+öú øPù¾úWû ÿ
åã
> @ > O
B´ ¾´
d> K ¹ \
Z
cÁj
¶F>
º 6
J º K >
G
³
>
l
][>[
"
p O
F b
6 >
· @K d
>
G> y |
´
ç´
¾
O
B
Z
c
p º Fw V "
b b K
>
´ çL ³
D
M a
c M [[[
{L · 2V´
´
]FMM [>[[
Z ¿ ][>[È>É9R&ÊAË>ÌÍRÎR>¸ c ]F>UfÈ>ɧRbÊAËÌnÍRÎR
JÞ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
,;EQ>P= DB RF,@0+AQEQ,PRQ,YVW,P*-78V-4G:Qt(4GVW*-,Y0+=K0UÜçu;%J:Q0>P4GV->;EQ:QRQ0(:m78,YRQ,;=FAQ4G>P%')%J:F%J*W46:Y0(B AF7W4G>;%FÜ6o$&%J:Q>PVW,P780('X,;:?
78,(I,P:,P:EQ:Q0d*-,;tJEQ:FR10v2(,;V-*W4T%(B :RQ,=G0Z[EF:Q>;4@%JB :sRQ,RQ4G*O7w0(:Q>P4K0(*,P:m78VW,>P%JVWV-,;=G%(tJV80(')0(*PI*W,')46RQ,
=K0URQ46*-7w0k:Q>;4G0\,;EQ>P= DB RQ,@0U,P:]7WVW,=K0k*/j10(V-V80(*cRQ,=6%J*/>;%(VWVW,P=G%Jt(V80(')0(*&,SM?>;=GEF*W462k0('X,;:m7W,,;:v,;=C46:m78,;VO2k0(=G%
ë T U@ ;ôßo ,,;*O7w0')0(:Q,;VW0FIi,;:,P*-7w0*-4G'XAQ=G4n{1>@0k>;4T%(B :d*-,U%Jjm254K0X,;=V-,;*O78%RQ,P=>P%JVWV-,;=G%(tJV80(')0
Af%JV>P%J:Q*-4GRQ,PV80(Vy]EQ,=G%vy]EQ,)0(.DB *-,),P:Q>;EQ,P:m78V80d:Q%v,;*7w0(:sV-,;=G,N2k0(:m78,>;%J'X%v=G%vy]EQ,,;*O7À0vB ,;:"=G0(*
AQVW%@M?4G'X4GR10kRQ,;*cRQ,P=AQ4G>P%')%J:F%J*W46:Y0(B AF7W4G>;%Fo
´0(*RQ%(*X'X,;RF4GR10(*0k:]7W,;V-4G%JV-,;*^y]EQ,v,;'XAQ=6,@0(:~=K0RF4G*-780(:Q>P4K0,;EQ>P= DB RQ,@0>;%(')%'X,;RQ46R10RQ,v=K0
*W4G'X4G=6467WEQR,;:m78V-,>;%(VWVW,P=G%Jt(V80(')0(*wg<0(RF%J=G,P>;,;:RQ,*W,PVRQ,P'h0(*-4K0(RF%*-4G'XAQ=G,P*Xb}:Q%>P%J:Q*W46RQ,;VW0(Vh=G0(*
>@0(VW0(>P7W,;V;DB *-7W4G>@0k*LRF,;=>;%JV-VW,P=G%JtJVW0(')0U')%J:F%J*W46:Y0(B AF7W4G>;%<AQ0(V80,;*O7w0(jQ=6,;>P,;VL>;%J:d'·0kB *LAFVW,;>P4G*-4T%JB :d=K0<RQ46*O
7w0(:Q>P4K0>;%J:)%(78V-%J*z>;%JV-VW,;=6%JtJVW0('h0k*;o %JVz,;=G=6%QI50q>P%J:m7846:5EQ0(>;4@%JB :h*-,94G:m7WVW%5RQEQ>;,LEQ:1078,PVW>;,PV80\'X,;RF4GR10
RQ,c=K09RF4G*-780(:Q>P4K0(*,P:m78VW,c>P%JVWV-,;=6%JtJV80k'h0(*y]EQ,/7846,;:Q,/,P:>;EQ,P:]780*W4G,N78,c>;0(V80(>N78,PV@DB *O7846>@0(*,SM578V80FDB R10(*RQ,;=
>;%JV-VW,;=6%JtJVW0('h0Y'X%J:Q%J*-4G:Y0(B A?784G>P%Qoap#*-7w0k*#>@0(VW0(>P7W,;V;DB *-7W4G>@0k*;I(y]EQ,/7W4G,P:Q,;:Uy]EQ,/2(,;VZ[EF:QR10('X,;:m7w0k=G'X,;:m78,
>;%J:=K0)Ai%J*-4G>;4@%JB :vbv=K0<Z[%JVW')0XRF,;=aAQ4G>P%h'X%J:Q%J*-4G:Y0(B A?784G>P%QI1*W%(:lEF7W4G=G46u@0(RQ0(*YAf%JVY=6%J*3:F,;EQV-%({1*W4@%JB =G%(tJ%J*
A10(V80)>@0(VW0(>P7W,;VW46u@0(>P4T%JB :lRQ,U=G%(*9>;%(VWVW,P=G%Jt(V80(')0(*L')%J:F%J*W46:Y0(B AF7W4G>;%(*;o+³ñ>P%J:m7846:5EQ0(>;4@%JB :*W,\,;:]EQ'X,;V80k:
,;*-780(*c>@0kV80(>N78,;V;DB *O784G>;0(*&bh*W,4G:FRQ4G>;0\>%JB 'X%<*W,%(jF7846,;:Q,P:0UAQ0(V-7W4GV&RF,;=C>P%JVWV-,;=G%(tJV80(')0^¼2r,@B 0(*-,{QtJEQV80
HFo6A10kV80<EQ:10'),-%JVc>;%(')AQV-,;:Q*-4T%JB :vRQ,q0(=6tJEQ:10k*cRQ,,;*-780(*Y>@0(VW0(>P7W,;V;DB *-7W4G>;0(*wgSo
Nº Nº 5½ iº Nº i»º Af%J*-4G>P4T%JB :vRQ,=K0<j10kVWV80<RQ,q0('XAQ=64678EFR'·0|B M?46'h0\y]EQ,q*W,
,;:Q>PEQ,;:m7WVW,q,;:l,P=C4G:m7W,;V-2k0(=6%ë T T ;ôRQ,P=>;%JV-VW,;=6%JtJVW0('h0?o
(»ßº iº /*W,\%JjF7846,;:Q,,;=a2(0k=G%JVLRQ,;=aAQ46>;%'X%J:Q%J*-4G:Y0kB AF7846>;%X>;%J'X%h=G0)'X,;RQ4G0)RQ,U=G0(*
j10(V-V80(*#*-4678EQ0(R10(*#,P:XEF:)VW0(RQ4G%9RQ,3Þ Y0(=6VW,;RF,;RQ%JV#RF,L=G09Ai%J*W46>;4T%(B :<RQ,;=1AQ46>;%'X%J:Q%J*-4G:Y0kB AF7846>;%
RQ,P7W,;V-')46:10(R10Af%(V¸=G0q>;0(V80(>N78,PV@DB *O7846>@0\0k:]7W,;V-4G%JVPî?*-,9%JjF7W4G,P:Q,3=G0qjQ0(*80(=i>;%(')%q=K0q'),PRQ4K0RQ,9=G0(*
j10(V-V80(*q*W4n78E10(RQ0(*,P:=G%(*)TdAQVW46'),PVW%J*'X4G=64G*W,PtJEQ:QRF%J*RQ,;=z>;%(VWVW,P=G%Jt(V80(')0FîAi%JV~EQB =67W4G'X%QI*W,
RQ462546RQ,,;=C2k0(=6%JV/RQ,P=AQ4G>P%X,P:m78VW,q=K0UjQ0(*80(=AQ0(V80<%JjF7W,;:Q,PVY,;*-780X'X,;RF4GR10Fo
1½N¿ N»¿w½ (» ! 5½L_a`Nr*-,RQ4n254GRQ,,P=C2(0k=G%JVcRQ,P=AQ4G>P%)'X%J:Q%(*W4G:c0(B AF7846>;%d^[%JjF78,P:Q4GRF%X*-,;t&EQB :
=K0U'X,;RQ46R100(:m78,PVW4G%(Vwg¸Ai%JVc,;=:9EFB '),PVW%RQ,RQ4G*-A10(V-%J*cRQ,=K0<:Q,PEQVW%J:Q0XAQV-,;*-4G:Y0(B A?784G>;0Fo
1½N¿ " N»ß¿8½ (» ! 5½¸_feT*W,LRQ462546RQ,3,P=12(0k=G%JVrRQ,P=fAQ46>;%q')%(:Q%J*W46:Y0(B AF7W4G>P%qAi%JVz,;=i:+EQB 'X,;VW%RQ,
RQ4G*-A10(V-%J*cRQ,=K0<:Q,PEQVW%J:Q0XAi%J*-7W*W46:Y0(B AF7W4G>@0?o
# ½N¿Sº $ 5½ iº % Nº i»ßº *-EQ')0\RQ,+=G0(*¸RF46Z[,;V-,;:Q>P4K0(*+^,P:2(0k=G%JV¸0(jQ*-%J=GEF7W%]gz,P:m78VW,
>@0(RQ0RF%J*Yj10(VWVW0(*Y>;%J:F*W,;>PEF784n2k0(*3,P:,P=4G:m78,PV-2k0(=6%dë wH L ;ô¶o
'& 5½ !iº ( Nº i»ßº JÞ( 5½ 躼» *)Jº 1*W,&>PEQ,;:m780(:=K0(*aj10(V-V80(*
RQ,;=?>;%JV-VW,P=G%JtJVW0(')0L>PEFbm00('XAQ=64678EFR,P*'h0@b(%JV%+46tJE10(=]y]EQ,/,P=1ÞJ ÍRQ,&=K090k')AQ=6467WEQR'0|B M?4G')0
RQ,;=AF4G>;%'X%J:Q%J*-4G:Y0kB AF7846>;%Qo
wv
½sut
ü dù fÿ øÇö þ
dù
ø
ü 9øú ÿ
wv
ú
dù
dù
ºsut
úüúAþ
ºsut
ý
Oú
&ü
ø
ö
ý
Oú
&ü
ø
çö
úrörúçö þ
dù
ø
ü 9øú ÿ
dù
ø4ù
ö þ
dù
ø
ü 9øú ÿ
dù
úAþ
ªq
ö ³üýåú
wv wv ºsut
)þ &ýwö
úÿ
ú
ªq
(H
©mªFª¦± ¤ c£¨ ±Å¯®}¯+¤O¬¥ ¡ ± ¤ ¡ ®r±¥°L® ¨c°3°L®r§¸¨Y° ¡+Ç¡ ¬
+& 5½ !iº , Nº i»º J( 5½ 躼» *)Jº 1a*-,/>;EF,;:m7w0(:<=G0(*aj10(VWVW0(*
RQ,;=?>;%JV-VW,;=6%JtJVW0('h0Y>;E?bm00('XAQ=G4n78EQRq,;*#')0@bJ%JV%+4Gt(E10(=]y]EQ,/,;=Q( ÍRQ,/=G090('XAQ=64678EFR'0|B M?4G')0
RQ,;=AQ46>;%'X%J:Q%J*-4G:Y0(B A?784G>P%Qo
p#:d=K0780(jQ=K05oé<*-,q'\EQ,;*O78V80k:d=6%J*&2k0(=6%JVW,P*/A10(VW0>;0(R10<EQ:10<RQ,,P*-780(*Y>@0(VW0(>P7W,;V;DB *-7W4G>@0k*/A10(VW0,P=
>P%JVWV-,;=6%JtJV80k'h0h'X%J:Q%(*W4G:c0(B AF7846>;%RQ,V-,PZ[,;V-,;:Q>P4K0^[2#,;B 0(*W,{1tJEQVW0d?oHJgNo 0kV80v>@0(=6>;EQ=G0(V+=K0RF4G*-780(:Q>P4K0
,P:m78VW,zEQ:q>;%JV-VW,P=G%JtJVW0(')0&RQ,r>;E10k=Gy]EQ4G,PV>;46VW>;EF4678%cb,P=m>;%JV-VW,P=G%JtJVW0(')0&')%(:Q%J*W46:Y0(B AF7W4G>P%cRQ,rVW,PZ[,PVW,P:Q>;4G0FI
,P*+AQV-,;>;46*W%%(jF78,P:Q,;V+=G0(*9'X,;RF4GR10(*LRQ,U,P*-780(*+>@0kV80(>N78,;V;DB *O784G>;0(*LA10(V80),;=>P%JVWV-,;=6%JtJV80k'h0X0(:10(=64Gu;0(RQ%b
>P%J'XA10(V80kVW=K0k*\>;%(:}=G0(*U'X,;RQ46R10(*URQ,v=G07w0(jF=K0s?oçQo5,dAFEQ,;RQ,v>;0(=G>PEQ=K0(V=K0RQ4nZ[,;V-,;:Q>P4K0,;:2k0(=6%JV
0kjQ*W%J=6EF78%XA10(VW0)>;0(R10)'X,;RF4GR10%h*-,\AQEQ,PRQ,;:l>;%J:Q*-4GRQ,PV80(VL=K0k*L*-4G,N78,\'X,;RF4GR10(*Y>P%J')%X>;%(')Ai%J:Q,P:]7W,;*
RF,EQ:2J,;>N78%JVcbh>@0(=6>;EQ=G0(V/=K0RQ4G*O7w0(:Q>P4K0U,PEQ>;=¶DB RQ,;0U,;:m78V-,q=6%J*/RQ%(*/2J,;>N78%JV-,;*Po EQ,PRQ,;:d,;*O7w0(jQ=6,;>P,;VW*-,(I
46:Q>;=6EQ*W%FI?Ai%J:QRQ,PV80(>P4G%J:F,;*/A10kV80\>;0(R10\>P%J')Ai%J:Q,P:m78,+RQ,P=i2(,;>N78%JVc,P:,;=f>0(B =6>;EQ=6%\RQ,+,P*-780URQ4G*O7w0(:Q>P4K0b
,P:dZ[EF:Q>;4@%JB :vRQ,=K0<4G'XAf%(V-7w0k:Q>;4G0RQ,>@0kR10X>;0(V80k>P78,PV@DB *-7846>@0Fo
ê0(jQ=K0X?oçQ xøSþ øNù ßýOþ¶ú -øNùOú-û ÿ LüTý ]ù¾ûNþ¶þ¶ý û Nþ ø cø /û ûPößú aøSÿ ÷ ¶úùOû&ý ù¾ú ¶øNüûNþüTýþßý ýOþ¶ý |ùOúø
QûPø ö߶úúéùOû/ú-û ÷ÿ Lú ù¾- üTû ý ]|÷øPúößù¾ø û /û û;öú øNÿ ÷ ßú ù¾û
ý-ý-þþ WWø/ø/üTüTýý
||ý-þßùù ú ||wû/û/øNüüüø/ýý ]]üT÷÷ý múú ù¾ù¾÷ûcûcú ù¾øø û /û û;öú øNÿ ÷ ßú ù¾û
.978V-%U0(*-Af,P>P7W%<0\>;%(:Q*W46RQ,;VW0(V&0ky5ECD B ,P*&=K0q4G:FQEQ,;:Q>P4K0RQ,;=iVWEF4GRQ%*W4G:c0(B AF7846>;%q,;:,P=f>P%JVWV-,;=6%JtJV80k'h0Fo
54x*W,9VW,@0k=G4Gu;0(:)2k0(V-4K0(*z*W46'UEQ=G0(>;46%J:Q,;*zRQ,+EF:')46*W'X%>P4GVW>PEQ467W%QI5*W,+%Jj?78,;:FRQV10(B :>P%JVWV-,;=6%JtJV80k'h0(*r=64GtJ,S
VW0('X,;:m78,RQ46Z[,PVW,;:m7W,;*+RQ,PjQ4GRF%0h=G0XAQV-,;*-,;:Q>P4K0RQ,P=V-EQ4GRQ%)*W46:Y0(B AF7W4G>;%Fo3ÃL:10h')0(:Q,PV80)RF,\'X4G:Q46')46u@0(V
,P*-78092(0kVW4K0kjQ4G=64GR10(Ry]EQ,c46:]7WVW%5RQEQ>P,/,;=?VWEQ46RQ%+*W,PV@DB 094G:Q>PVW,P'),P:]780(V,P=F:9EQB 'X,;V-%9RQ,cRQ46*WA10kVW%J*VW,;>P%JtJ46RQ%J*
,P:=K0(*:Q,;EFVW%J:10k*v^[bAf%(V7w0k:]7W%,;=¸:+EQB '),PVW%RQ,A10(*-%J*URQ,h>@0(R10*-4G'UEF=K0(>P4T%JB :ÀgS/o .97WV80Z[%JV-'h0dRQ,
>P%J:Q*-,;tJEQ46Vc=G46')4n7w0(Vr=K04G:F1EF,;:Q>P4K0URQ,P=VWEQ46RQ%<*W46:Y0(B AF7W4G>;%\,;:v,;=C>P%JVWV-,;=6%JtJV80k'h0\*-,;V;DB 0UVW,;0(=G46u@0(Vz2k0(VW4G0(*
*-4G'UEF=K0(>P4G%J:Q,P*<RQ,lEF:'X4G*W'X%s>;46VW>;EF4678%sA10kV80FI/Ai%J*O78,;V-4G%JV-'),P:m78,(I¸AQVW%('),PRQ4K0(V=6%J*>;%JV-VW,;=6%JtJVW0('h0k*
%(jF78,P:Q4GRQ%(*z,P:h>;0(R10EQ:10RQ,Y,;=G=G0Fo³3'Uj10(*z0(=n78,PVW:10k7W462k0(*46')AF=G4G>;0(:UEQ:h0(EQ'X,;:m78%q>;%(:Q*W46RQ,;VW0(jQ=G,cRF,;=
>P%J*-7W,>P%J'XAQEF7w0k>;4G%(:10(=xRF,;=AQV-%?>P,;*W%XRQ,j9EQB *-y5EF,;R10RQ,>;%J:F,NM?4G%J:Q0(RQ%J*L0(=n78,;V-:10k7W462J%(*/bJI1Ai%JV/7w0(:m7W%QI
*-,RQ,;*-,;*-7W4G')0(:0AFVW4G%(VW4¶o
0(V80Y2J,;V>%JB 'X%30kZ[,;>N7w03,P=]VWEQ46RQ%3*-4G:Y0kB AF7846>;%L0(=]>;%JV-VW,P=G%JtJVW0(')0Y*-,¸.Q0(:\V-,@0(=64Gu@0kRQ%TJY*W4G'\EQ=K0(>P4G%k
:F,;*#RQ,/EF:X>P4GV->;EQ4n78%9'X%J:Q%(*W4G:c0(B AF7846>;%3,NM?>;4n7w0(RQ%(VY^>P%J:<=G%J*a2k0(=G%JV-,;*,;*-710(B :QR10kV#A10(V80+=6%J*AQ0(V10(B 'X,P7WVW%J*8g
b*-,3.Q0q>;0(=G>PEQ=K0(RF%q=G0RQ4G*O7w0(:Q>P4K0RQ,Y>@0kR10>P%JVWV-,;=G%(tJV80(')0+%JjF7W,;:Q46RQ%>;%J:),;=1>P%JVWV-,;=G%(tJV80(')0+RQ,LVW,NZ[,N
V-,;:Q>P4K0+RQ,&=K03{1t(EQV805oHFop#:X=G0L780(jQ=K0+?o L*W,c'UEQ,P*-7WV80(:<=6%J*2k0(=6%JVW,P*AQVW%('),PRQ4G%Lb\=G0(*RQ,P*-254K0k>;4G%(:Q,;*
,P*-710(B :QR10(VcAQ0(V80U=G0\RQ4G*O7w0(:F>;4K0U,PEQ>;=¶DB RQ,;0b=G0URQ4G*O7w0(:F>;4K0,;EQ>P= DB RF,@0U,;:=G0UVW,PtJ4T%JB :hRQ,AQ4G>P%Qo#ê0('UjQ4N,;B :
*-,l'UEF,;*-7WV80(:=G%J*AQV-%J'),PRQ4G%(*Xb~RQ,P*-254K0k>;4G%(:Q,;*)A10(V80>@0(RQ0'X,;RQ46R10RF,l=K0s>@0kV80(>N78,;V-4Gu;0(>;4@%JB :}RF,;=
ø4ù
ö þ
dù
ø
ü 9øú ÿ
dù
úAþ
ªq
ö Güýåú
)þ býVö
úÿ
ú
rq
³ã
¶
>
º >
ß &>/#9!A *#$(,/0
> B O
n
é
K
Å &¶
´
Z
Å &¶
´
c
B `
²e 0
M U
²e 0
U[
L
O
O
O
12-%
MVQR
¹
] Ua
¹
[ [M^
¹
[ []FU
a]
MONdfQR
[NdfQR
·
k
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
>;%JV-VW,;=6%JtJVW0('h0?o<p#*-78%(*V-,;*WEF=67w0kRQ%J*qRQ,;ji,;:*W,PVq7W,;:Q46RQ%J*,;:>;EQ,P:]780,P:,P=z',PB 7W%?RF%dRF,Xj9EFB *Wy]EQ,;RQ0
RQ,>;%J:Q,SM?4G%J:10kRQ%J*;I1RQ0(RQ%Xy5EF,=G0URQ4G*O7w0(:Q>P4K0<,;:m7WVW,RQ%J*L>;%J:?{1tJEQVW0(>;46%J:Q,;*Y:Q%*Q%JB =G%RQ,PAf,P:QRQ,qRQ,=6%J*
A10(V10kB '),N78VW%(*Y{Q*W4G%(=T%JB tJ46>;%J*/bv7W%JAf%(=T%JB tJ46>;%J*c*-,;=6,;>;>P4G%J:Q0(RQ%J*L,;:,P=a0(A10(VO7w0(RQ%?onJIÀ*W4G:F%hy]EQ,780('UjQ4N,;B :
*W,RQ,;ji,q,;:dA10(V-7W,0X=G0UAQVW,P*W,P:Q>;4G0XRQ,P=VWEQ46RQ%*W46:Y0(B AF7W4G>;%Fo
êüûN0(þ jF=K0X?o? ý kù¾ú øcüTý ]þ ú üTûcöú øNÿ ÷ ßú ù¾û/ý øcùOøNþ¶øPù ßý-þßú -øPù¾úWû ÿ Lüý 5ùOûNþ¶þßý éû Nþ ø cø /û û;öú øNÿ ÷ ßú ù¾û/ý ùOú ø
10 2
úú öö øø ||ùOùOúúø&ø&- ýý kkùù KKÿÿ üüý-ý-øø&üTý ø&þ¶ý Pú-û ÿ 9üTý m÷ú ù¾û
Qû;ø ößúúù¾û/úWû ÷ÿ 9ú ù¾üTû ý m|÷|øNö¶úùOø û &û ûPößú øSÿ ÷ ¶úùOû
ýOýOþþ --ø/ø/üTüTýý
||ýOþ¶ùù ú 8ûcûcøPüüTüTø/ýý ]]üT÷÷ý 5úú ù¾ù¾÷ûcûcúùOøø û &û ûPößú øSÿ ÷ ¶úùOû
%JVEFB =67846')%FIx*W,).10d0(:10(=64Gu@0kRQ%>%JB 'X%d=K0RQ4G*O7w0(:F>;4K0d0vEQ:">P%JVWV-,;=G%(tJV80(')0RQ,XVW,NZ[,;VW,P:Q>;4G0d,P*-710 B
RQ,P7W,;VW'X4G:Q0(R10Ai%JVU>@0kR10EQ:Q%sRQ,=G%(*URQ46Z[,PVW,P:]7W,;*A10(VQ0(B 'X,P78V-%J*URQ,P=c')%5RQ,P=G%RQ,:F,;EQV-%J:10Fo 0(V80
,;=G=6%QI5A10(V80U7W%?R10k*c=K0(*/*-4G'UEF=K0(>P4G%J:Q,P*/RQ,P=C>@0(ACDB 78EF=G%HURQ%J:FRQ,*W,q0(:10(=64Gu;0(j10\=G0U4G:F1EF,;:Q>P4K0U,;:v=G0U>;%k
VWVW,P=K0(>P4T%JB :RF,0(>P7W46254GR10kRRQ,>@0(R10<A10kV10(B 'X,P7WVW%:Q,;EFVW%J:10k=¶IF*-,.10X>;0(=G>PEQ=K0kRQ%U=K0URF4G*-780(:Q>P4K0U,;EF>;=¶DB RQ,@0
RQ,78%5RQ%J*=G%J*>P%JVWV-,;=G%(tJV80(')0(*U%(jF78,P:Q4GRQ%(*)0sEQ:>;%JV-VW,P=G%JtJVW0(')0RQ,V-,PZ[,PVW,;:F>;4K0?op#:=K0(*<{1tJEFV80(*
HFoé0HFo6TÞRQ,RQ46>w.Q%>@0kADB 7WEQ=G%*W,AQV-,;*W,P:m7w0(j10k:=6%J*\RF4K0(tJVW0(')0(*RF,RQ4G*-Af,PVW*-4T%JB :y]EQ,'\EQ,;*O78V80k:
>%JB 'X%2k0(V@DB 0=K0hAQV-,;>P4G*W4@%JB :sRQ,<RQ46*WA10(V-%J*>;%(VWVW,P=K0(>P4G%J:Q0(RQ%J*+,P:sEQ:10v>;%J:Q,SM?4T%JB :s'X%J:Q%J*-4G:Y0(B A?784G>;0h,NM]
>;46780(RQ%JVW00'X,;RQ46R10)y]EQ,<*-,<')%5RQ46{Q>@0(j10)EQ:Q%^%RF%J*wg3AQ0(V10(B 'X,P7WVW%J*3RQ,;=')%5RQ,;=6%Qo ,U=G0h'X4G*W')0
'h0(:F,;V80?If,P:=K0(*L{1tJEQVW0(*5oé0?o6@)*W,\'UEQ,;*O78VW0h>%JB 'X%h,N2J%J=6EQ>;46%J:10h=G0XRF4G*-780(:Q>P4K0),PEQ>;=¶DB RQ,;00hEQ:
>;%JV-VW,;=6%JtJVW0('h0)RQ,<VW,NZ[,;VW,P:Q>;4G0^%JjF7W,;:Q46RQ%>;%(')%AQV-%J'X,;RQ46%RQ,TJ>;%(VWVW,P=G%Jt(V80(')0(*9AFVW%5>;,;RF,;:m78,P*
RQ,*W46'UEQ=K0k>;4G%(:Q,;*¸RQ,EQ:v')46*W'X%U>;46VW>;EF4678%\>;%J:2k0(=G%(VW,;*c,P*-710(B :QR10(VcAQ0(V80<=G%(*/A10(VQ0(B '),N78V-%J*wg&0U'X,;RF4n
R10dy]EQ,X*W,X'X%?RQ4n{1>@0k:=6%J*RQ46*-7846:m78%J*Z0(>N78%JV-,;*{1*W46%J=T%JB t(4G>;%(*+:Q,;EFVW%J:10k=G,;*Pq7W4G,P')Ai%RQ,X*WEQjQ46R10vRQ,;=
p ^[{1tJEFV80?oç]gNIFRQEQV80k>;4T%(B :RQ,;=p 0<0k')AQ=6467WEQR'X,;RQ4G0^[{1t(EQV80?oJgSIQEQ'UjQVW0(=xRF,RQ4G*-A10(VW%
RQ,Y=K0+:Q,PEQVW%J:Q0qAi%J*-7W*W46:Y0(B AF7W4G>@0^¼{1tJEQVW0q?oäJgNImRQ,P*-254K0(>P4T%JB :<7@DB AQ46>@0+RQ,P=1VWEQ46RQ%*W46:Y0(B AF7W4G>;%X^¼{1tJEQVW0q?o æ(gNI
V80k7W4G%Üé0('XAQ=G4n78EQRRQ,;=cp kV-EQ4GRQ%s*-4G:Y0(B A?784G>P%QÜc^¼{1tJEQVW0s?oéímgNIC¹Sº¼»»¾½N¿lRQ,78VW0(:Q*W'X4G*-4T%JB :"*W4G:c0(B AF7846>@0
^[{1tJEFV80?oJg+b¹Sº¼»»½N¿bsRQEQV80k>;4T%(B :RQ,P=zp ^¼{1tJEQVW0l?onTmgSohp#:,;*-780(*{1tJEQVW0(**-,)V-,;AQV-,;*-,;:m7w0FI
,;:s:Q,;t(VW%QI,;=RQ4K0(t(V80(')0hRQ,<j10kVWV80k*RQ,,;VWV-%JVRQ,<=G0RQ4G*O7w0(:Q>P4K0,PEQ>;=¶DB RQ,;0RQ,>@0(R10>P%JVWV-,;=G%(tJV80(')0
tJ,;:Q,PV80(RF%)0k=C>;%JV-VW,P=G%JtJVW0(')0\RQ,VW,NZ[,;V-,;:Q>P4K0Fozp#*-7W,qRF4K0(tJVW0(')0\4G=6EQ*-7WV80\=G0U,P2J%(=GEQ>P4T%JB :vRQ,P=CAQVW%('),PRQ4G%
bl=G0hRQ,;*O254K0(>P4T%JB :,P*-710(B :QR10(VRF,U=K0(*3RQ4G*O7w0(:F>;4K0k*9,;EF>;=¶DB RQ,@0k*0h=G%h=K0(V-tJ%hRQ,P=VW0(:QtJ%RF,U2(0kVW4K0k>;4T%(B :RQ,
>@0(R10A10(V10kB '),N78VW%U0(:10(=64Gu@0kRQ%Qo %JV&%k78VW%\=K0(RQ%FI?,P:,;*-780(*/'X4G*-'h0(*r{1tJEFV80(*/*-,+'UEQ,P*-7WV80FI?,;:v0(uPEQ=¶I5,;=
RQ4K0(t(V80(')0RQ,9j10kVWV80k*&RQ,3,;VWV-%JV^['),PRQ4K0bXRQ,;*O254K0(>P4T%JB :,P*-710(B :QR10(V¸A10(VW0\>@0(RQ0q2k0(=G%(V¸RQ,P=fAQ0(V10(B 'X,P7WVW%
0(:10(=64Gu@0kRQ%]gA10(V80+=G0(*RQ46*-780(:Q>;4G0(*,PEQ>;=¶DB RQ,;0(*,P:]7WVW,Y=G%(*>;%(VWVW,P=G%Jt(V80(')0(*%(jF78,P:Q4GRQ%(*A10(VW0+>@0(R1092k0(=6%JV
F
º9 d
ß &/#H!2 *#8(,/0
§ »
»
` § L
=éK
Å d¶
º´
Z
Å d¶
º´
c
`
²; 0
²; 0
`
O
º
>
B > O
" >
M>U
U[
m
O
¶
CE!0?(,
¹
]^M ÃP
¹
T [M
MON]PfQ\R
¹
] ^>P
¹
[ [>M^
¹
[ []nU
¹
a[ >T
MON0MafQ\R
[NÃn^Q\R
> º 5G!* F(,/(% < _*#A <A?
¹
a U>U
¹
a U>M
¹
[ aM
¹
[ [^
¹
[ [[>[^
¹
[ [[>[>M
¹
]a ÃU
¹
] M
¹
[ a=Ã
O
p
J
m© ªFª¦± ¤ c£¨ ±Å¯®}¯+¤O¬¥ ¡ ± ¤ ¡ ®r±¥°L® ¨c°3°L®r§¸¨Y° ¡+Ç¡ ¬
RF,;=xAQ0(V10(B 'X,P7WVW%\b),;=i>;%(VWVW,P=G%Jt(V80(')0RQ,9VW,PZ[,PVW,P:Q>;4G0\>;E10k:QRQ%<*W,>P%J:Q*-4GRQ,PV80\*Q%JB =G%U=G0V-,;tJ4@%JB :RQ,P=xAQ46>;%
'X%J:Q%(*W4G:c0(B AF7846>;%d^-ë T T ;ô¼gSo
0(V809>;0(R10Y{1tJEQVW0FI(RQ,¸=K03?oç909?o6@FI(*-,&.10L,;'XAQ=G,;0(RQ%LEQ:U>;%(VWVW,P=G%Jt(V80(')0cRQ,¸V-,PZ[,PVW,;:F>;4K03RQ4G*O784G:5
7W%QIQ%Jj?78,;:F4GRQ%X0<A10(VO784GVcRF,q*-4G'UEF=K0(>P4G%J:Q,P*/y]EQ,EF7846=G46u@0(:=6%J*/2k0(=G%(VW,;*c,P*-710(B :QR10(VYRQ,=6%J*cA10(VQ0(B '),N78V-%J*
,P:Z[EQ:Q>P4T%JB :RF,(#,;=À7846Af%RQ,+V-EQ4GRQ%*WEQ'X4G:F4G*-7WV80(RF%U0\=G0VW,PRCIF,P=x:9EQB 'X,;V-%\RQ,3RQ4G*-A10(V-%J*/VW,P>;%Jt(4GRQ%J*¸,;:
=G0):Q,PEQVW%(:10Af%(*-78*-4G:Y0kB AF7846>@0FIÀbl,P=7W4GAi%hRQ,URF4G*-7WVW46jQEQ>;4@%JB :lRF,UAQVW%(j10(jQ46=G4GRQ0(REF*80(R10AQ0(V80h=G0)=G0k78,P:?
>P4K0h*-4G:Y0kB AF7846>@0Xb,;=i¹Sº¼»ß»½N¿Soq$&%J'X%*W,<%JjF*W,;VO2k0,;:,;*O7w0(*+{QtJEQV80k*;If7W%?RF%J*+=G%(*3Z0(>N78%JV-,;*0(:Q0(=G46u@0(RQ%(*
0|Z[,;>P780(:CI0(EQ:Qy]EQ,X,;:RQ4G*O7846:]780'),PRQ4GR10?I0d=G0vRF4G*-780(:Q>P4K0,;EQ>P= DB RQ,@0v0(=#>P%JVWV-,;=G%(tJV80(')0RQ,XVW,NZ[,;VW,P:?
>P4K0Fo 0(VW0RQ,P7W,;VW'X4G:Q0(V,P=&tJVW0(RQ%RF,4G:FQEQ,;:Q>P4K0lRF,>@0(RQ0A10(V10kB '),N78VW%FI*W,.Q0'),PRQ4GRQ%=K0lVW0k7846%
RF,X>;0('UjQ46%RQ,=K0'X,;RQ4G0RQ,=K0(*9RQ4G*O7w0(:Q>P4K0(*,PEQ>;=¶DB RQ,;0(*0=G%=G0(VWtJ%RF,;=#RQ4G0(tJV80k'h0XRQ,j10(VWVW0(*RQ,
,PVWV-%JV^[RQ,h')0(:Q,PV80vy]EQ,h*-,h>;%(:Q*W46RQ,;VW0lEQ:2k0(=6%JVRQ,hAFVW%J'X,;RQ46%vRQ,hRQ46*-780(:Q>;4G0(*A10(VW0>@0kR10d2k0(=6%JV
RF,;=iA10(V10kB '),N78VW%0(:10k=G4Gu;0(RQ%bX*W,9>;0(=G>PEQ=K0,;=i>;%5>;46,;:m78,3,;:m78V-,9,P=fAQV-%J'X,;RQ46%'0|B M?4G'X%b),P=ÀAQVW%J'X,;RF4G%
'DB :F4G'X%]gNop#:0k=GtJEQ:F%J*/>@0k*W%J*PI1=K0U'X%?RQ4n{1>@0k>;4T%(B :hRQ,EQ:vA10(VQ0(B 'X,P78V-%0kZ[,;>N7w0URQ,')0(:Q,PV80U*W46')46=K0(Vz0
=G03RQ46*-780(:Q>;4G03,PEQ>;=¶DB RQ,;0Lb\09=K0LRQ4G*O7w0(:Q>P4K0L,;EQ>P= DB RF,@03'X,;RF4GR10L,NM?>;=6EQ*W4n2(0k'),P:]7W,&,P:<=K03V-,;tJ4@%JB :\RF,;=FAF4G>;%FI
>P%J'X%,;*,;=>@0(*-%dRF,<=K0RQEQVW0(>;4@%JB :RQ,P=#p b=G00(')AF=G467WEQRlRF,;=V-EQ4GRQ%*-4G:Y0kB AF7846>;%Qo 0kV80,;*O78%J*
RF%J*AQ0(V10(B 'X,P7WVW%J*PI=K0vV80k7W4G%vRQ,X>@0('UjF4G%vRQ,X=K0RQ4G*O7w0(:F>;4K0v,;EF>;=¶DB RQ,@0,P:78%5RQ%d,;=r>;%(VWVW,P=G%Jt(V80(')0,;*
*-4G'X4G=G0(V&0U=G0UV80k7W4G%URF,>@0('UjF4G%<RQ,=G0URQ4G*O7w0(:Q>P4K0\,PEQ>;=¶DB RQ,;0<,;:v=K0\V-,;tJ4@%JB :RQ,P=AQ4G>P%Qo#p#*-780X*-4G'X4G=G4n78EQR
46:QRQ46>@0y]EQ,=G0 ! 1º¼» RQ,9=G%J*z>@0('\jQ4G%J*¸AQVW%5RQEQ>P4GRQ%(*/,;:,P=x>;%(VWVW,P=G%Jt(V80(')0q>P%J'X%U>;%J:F*W,;>PEQ,;:F>;4K0
RF,3=G0'X%5RQ46{1>;0(>;4@%JB :<RQ,Y,;*O78%J*zA10(VQ0(B 'X,P78V-%J*r,;*z*W46')46=K0(V>;E10(:FRQ%*-,3>P%J:Q*-4GRQ,PV80%jQ46,;:X=K0VW,PtJ4T%(B :XRF,;=
AF4G>;%%XjQ4G,P:78%5RQ%,;=>;%JV-VW,P=G%JtJVW0(')0Fo#Ã3:Q0>;0(V80k>P78,PVW46u@0(>P4T%JB :v'0(B *cAQVW,P>;46*80RQ,=6%J*c>;%(VWVW,P=G%Jt(V80(')0(*;I
jQ0(*80(RQ0FICAi%JV+,¾-,P')AF=G%QIf,;:s=K0(*3*W46,P78,\>@0(VW0(>P7W,;V;DB *-7W4G>@0k*+RQ,P{Q:Q4GR10k*0(=AQV-4G:Q>P4GAQ46%hRQ,\,;*-7W,X0(A10(VO7w0(RQ%FI
Ai%5RQV@DB 0l0(V-VW%|W0(V\'·0(B *=GEQuh*W%JjQV-,=K0'h0(:F,;V80,;:~y]EQ,2k0(V@DB 0,;=&>;%JV-VW,;=6%JtJVW0('h0v'X%J:Q%J*-4G:Y0(B A?784G>P%0
AQ0(V-7W4GVcRQ,=K0U'X%5RQ46{1>;0(>;4@%JB :0(=6tJEQ:Q%RQ,,P*-78%(*LRF%J*YA10(V10kB '),N78VW%(*;o
%JV%(78V-%=K0(RQ%FICA10(VW0,;=7846,;'XAf%hRQ,<*WEQjF4GR10RQ,P=rp I=K0VW0k7846%Ü0k')AQ=6467WEQRp kVWEQ46RQ%QÜnI
,P=EQ'\jQV80(=RQ,URQ46*WA10kVW%b,;=f¹Sº¼»»½N¿NIx=K0hVW0k7846%hRQ,U>;0('UjQ46%RQ,U=G0hRQ46*-7w0k:Q>;4G0h,;EQ>P= DB RQ,@0h,P:=K0hV-,;tJ4@%JB :
RF,;=AF4G>;%),;*3=G4Gt(,;V80k'),P:]7W,*-EQAi,;VW46%JV30h=K0V80k7W4G%XRQ,U>;0('UjQ46%)RQ,\=K0RQ4G*O7w0(:Q>P4K0X,;EQ>P= DB RF,@0),P:l78%5RQ%,P=
>P%JVWV-,;=6%JtJV80k'h0Foap#*-7W%4G:QRF4G>@03y5EF,c=K03')0(tJ:F4678EFR\RQ,c=6%J*>;0('UjQ46%J*AQV-%?RFEQ>;46RQ%J*Ai%JV=G03'X%?RF46{1>;0(>;4@%JB :
RF,\,;*O78%J*3Z0(>P7W%JVW,P*9,;*3=G46tJ,;VW0('),P:m78,*WEQAi,;V-4G%JVL*W4*W,>;%J:Q*-4GRQ,PV80h=G0XV-,;tJ4@%JB :lRF,;=aAQ4G>P%h%QIiAf%(V3,P=>P%J:?
7WV80(V-4G%QI(*W,/7846,;:Q,c,P:>;EQ,P:]7807W%?RF%q,P=Q>;%(VWVW,P=G%Jt(V80(')0Foap#:),P=Q>@0(*-%RQ,;=J¹Sº¼»»¾½N¿9%,;=Q7846,;'XAf%9RQ,c*WEQjF4GR10
RF,;=rp I=K0VW0k7846%RQ,>@0('UjF4G%vA10(VW0v=G0RQ4G*O7w0(:Q>P4K0,P:=G0vV-,;tJ4@%JB :sRQ,;=#AF4G>;%v,P*;IaAQV10(B >N7846>@0('X,;:m78,kI
,P=cRQ%JjQ=6,s^O(I æJl2(,;>;,P*)')0@bJ%JVPIr,;:}0('Uji%J*U>@0k*W%J*8g<RF,d=G0V80k7W4G%RF,d>;0('UjQ46%>;%(:Q*W46RQ,;VW0(:QRQ%s78%5RQ%
,P=>P%JVWV-,;=G%(tJV80(')0Fo ,7W%?RF%,;*O78%*W,\RQ,;V-462k0)y]EQ,kICA10(VW0h=K0X'h0@bJ%(V@DB 0XRQ,U=6%J*3Z0(>N78%JV-,;*L{1*W46%J=T%JB t(4G>;%(*
0k:10(=G46u@0(RF%J*\,P:,P=c>@0(*-%sA10(V-7W4G>PEQ=K0(VRQ,EQ:~>;46VW>PEQ467W%')%(:Q%J*W46:Y0(B AF7W4G>P%,NM?>;4n7w0(RF%JV;Ir=K0dZ[EQ:Q>;4@%JB :~RQ,
RF4G*-780(:Q>P4K0,;EQ>P= DB RF,@0,P:=K0VW,PtJ4T%(B :hRQ,P=fAQ46>;%VW,;*-EQ=6780'0(B *z*W4Gt(:Q46{1>;0k784n2k0y]EQ,9=K0Z[EQ:Q>;4@%JB :hRF,9RQ46*-7w0k:?
>P4K0<,;EF>;=¶DB RQ,@0<A10kV80<78%5RQ%,;=>;%(VWVW,P=G%Jt(V80(')0FIFRQ0(RQ%Xy5EF,q=G0<'h0@bJ%(VLAQ0(V-7W,qRF,q,P*-7W%J*LZ0k>P78%(VW,;*Y46:Q>;46RQ,
RF4GVW,P>P780('),P:m78,*-%JjQVW,h=K0V-,;tJ4@%JB :RQ,P=&AQ46>;%'X%J:Q%(*W4G:c0(B AF7846>;%QoÃ3:Q0l>@0(VW0(>P7W,;V-4Gu@0k>;4T%(B :'·0kB *\AQV-,;>;46*80
ú Aø
wv
ºsut
býVö
m
(ä
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
RQ,;=z>;%JV-VW,P=G%JtJVW0(')00(Ai%JVO7w0(V;DB 0v'h0@bJ%(V\4G:?Z[%JVW')0(>;4@%JB :s*W%JjFVW,lÜç=K0vZ[%JVW')0FÜ,;:"y5EF,h7846,;:Q,)=GEQtm0kVq,P*-780
4G:Q>P4GRQ,P:Q>;4G0Fo
´0X0(=6780<V80k7W4G%<RQ,q>@0('\jQ4G%<y]EQ,q*W,q%JjQ*-,;V-2k0X,;:d,;=RQ4K0ktJV80(')0\RQ,qj10(V-V80(*YRQ,q,;V-VW%JVcRF,;=EQ'UjQVW0(=
RQ,RQ4G*-A10(V-%d^[{1tJEFV80?oéämgNIF*W,RQ,Pjf,q0Uy]EQ,=K0\,P=G,N2(0k>;4T%(B :RQ,;=CEF'UjQV80k=xAi%JV/,;:F>;4G')0URQ,EQ:vRQ,N78,PVW'X4n
:10(RQ%2k0(=G%JVq4^ 3 HJ 5\gc4G:?1EFbJ,qRQVQ0(B *-7W4G>@0k'),P:]7W,,;:l=G0Z[V-,;>PEQ,;:Q>P4K0RQ,qRQ4G*-A10(VW%XRQ,q=K0<:Q,PEQVW%J:Q0
Af%J*O78*-4G:Y0(B A?784G>;0FIJV-,;RQEQ>P4G,P:QRQ%q,;=1:9EQB 'X,;V-%RQ,YRQ4G*-A10(VW%(*#VW,;>P%JtJ46RQ%J*r,;:,;*O7w0:Q,;EFVW%J:10A10(VW0,;=1'X4G*W'X%
784G,P')Ai%hRF,\*W46'UEQ=G0(>;4@%JB :Co ,\.Q,P>w.Q%QIC*-4*W,784G,P:Q,\,P:>;EQ,P:m7w0*1%JB =6%h,P=4G:m7W,;V-2k0(=6%hRQ,P=RF4K0(tJVW0(')0XRQ,
j10(VWVW0(*LRQ,\,PVWVW%(V3>P%J')AFVW,;:FRQ4GRQ%X,;:m7WVW, Qqb HJ 5)Ii=K0(*YVW0k7846%J*YRQ,\>;0('UjQ46%)RQ46*W'X4G:]EFb(,;:l>P%J:?
*W4GRF,;V80kjQ=G,P'),P:]7W,9b*-,*W467xE1B 0(:0<:Q4n2J,;=6,;*cA10kVW,;>P4GRQ%(*Y0U=K0(*/RF,=G%J*/RF,;'0(B *cA10(VQ0(B '),N78V-%J*c0(:10k=G4Gu;0(RQ%J*Po
%JV%(78V-%=K0(RF%QI=G0d2k0(VW4G0(>;4@%JB :RQ,h=G0l0('XAQ=G4n78EQRRQ,P=&VWEF4GRQ%*W4G:c0(B AF7846>;%^[{1tJEFV80?oæJgSI>;%(')%,;*URQ,
,;*WAi,;VW0(V;Ik784G,P:Q,/EQ:Q03Z[EQ,;VO78,/46:F1EQ,P:Q>;4G09*W%(jQVW,¸=K09RQ46*-780(:Q>;4G090(=5>;%(VWVW,P=G%Jt(V80(')0LRF,/VW,NZ[,;VW,P:Q>;4G09RQ,PjQ4GRQ%
0)y]EQ,0kZ[,;>N7w0h0X=K0X0('XAQ=G4n78EQRRQ,P=V-EQ4GRF%)j10k*80(=RQ,P=>P%JVWV-,;=G%(tJV80(')0FIQAi%JVY=G%Xy]EQ,7W%?RQ0(*3=G0(*Yj10(V-V80(*
RQ,;=r'X4G*W'X%v*W,2J,P:0kZ[,;>N7w0(RQ0(*Ai%JVq4GtJEQ0(=>;EQ0(:QRQ%*W,h'X%5RQ46{1>;0=K0d0(')AF=G467WEQRRQ,P=zV-EQ4GRF%Qo ,X=K0
')46*W')0U'h0(:F,;V80?I1*W,q%JjQ*W,PV-2k0h0EQ:10)0(=6780<V80k7W4G%RQ,q>@0('UjF4G%,;:,;=RQ4K0ktJV80(')0URQ,qj10(V-V80(*YRQ,q,;V-VW%JV
RQ,<=K0){QtJEQV80v5o6T?ICRQ%J:QRF,<*W,<'UEQ,P*-7WV80(:s=G%(*9VW,P*WEQ=n7w0(RF%J*RQ,<'X%?RQ4n{1>@0kV3*-4G'UEQ=n7À0(B :F,@0('X,;:m78,L¹Sº¼»ß»½N¿
blRQEFV80(>P4T%JB :RF,U=G%J*9p o :Q>P=GEQ*-%QIx*-,U78VW0k7w0hRF,;=)EQB :F4G>;%)RQ4K0ktJV80(')0RQ,Uj10(V-V80(*9RQ,U,;V-VW%JVPIxRQ,<=6%J*
0(:10(=64Gu@0kRQ%J*,;:,;*O78,0kA10(V-780(RQ%QIy]EQ,)'UEQ,;*O78VW0EQ:10d'),P:Q%JVV80|784G%vRQ,X>@0k'UjQ4G%v,P:=K0(*RQ46*-780(:Q>;4G0(*
,;EQ>P= DB RF,@0(*,;:=K0V-,;tJ4@%JB :}RF,;=cAQ46>;%y5EF,,P:}=G0(*RQ4G*O7w0(:Q>P4K0(*<,PEQ>;=¶DB RQ,;0(*,;:m78V-,=6%J*>;%JV-VW,P=G%JtJVW0(')0(*
>;%J'XAQ=G,N78%J*Po~p#*-78%*W,vRQ,Pjf,kI&:]EQ,N2(0k'),P:]7W,(Ic0y]EQ,d:Q%78%5RQ%J*=G%(*<>;%JV-VW,;=6%JtJVW0('h0k*\%JjF7W,;:Q46RQ%J**W,
.10(:lt(,;:Q,PV80(RQ%h>;%J:,P='X4G*-')%:9EQB 'X,;V-%)RF,\RQ46*WA10(V-%J*9AQ0(V80X=K0:Q,;EQV-%J:10hAi%J*O78*W46:Y0(B AF7W4G>;0FoL$&E10(:QRF%
=G%J*Yp 7846,;:Q,P:>P%JV-780XRFEQV80(>P4T%JB :xI1*W,q:Q,;>P,;*W4n7w0(:d*W46'UEQ=G0(>;46%J:Q,;*c'0(B *c=G0(VWtm0k*cA10(V80<>P%J:Q*W,PtJEQ46V3EQ:
')46*W'X%q:9EFB '),PVW%qRQ,9RQ46*WA10kVW%J*Po ,;jQ46RQ%U0qy]EQ,9=G0qZ[VW,P>;EQ,P:Q>;4G0RQ,3_a`r,P*&V-,;=K0|78462k0('X,;:m7W,LjQ0W0FI5A10(V80
=K0(*AQV-4G'X,;V80k*<j10(VWVW0(*XRQ,;=YRQ4G0(tJV80k'h0RQ,d=K0{1t(EQV80?onT:F%"*W,d>;%(:Q*W46tJEQ,;:}=G%J*X5oJ(RQ46*WA10kVW%J*
AQVW,N2?46*-7W%J*YA10(V80<_fe9,;:l7 6JT9 8LA10(*-%J*YRQ,*W46'UEQ=K0k>;4T%(B :Co
êa,;:F4G,;:FRQ%,;:U>PEQ,;:m780978%5R10(*,P*-780(*>;%(:Q*W46RQ,;VW0(>;46%J:Q,;**W%JjQV-,&=G0(*{1t(EQV80(*?oç0?onTFIk4G:Q>P=GEFb(,;:QRQ%
=K0(*AQV-,;>;46*W46%J:Q,;*A10(VW03,;=5EQ'UjFV80(=]RQ,zRQ4G*-A10(V-%QI(=G030('XAQ=64678EFRqRF,;=5VWEQ46RQ%Lbq,P=¹Sº¼»»½N¿Lb=G03RQEQVW0(>;4@%JB :qRQ,;=
p .Q,P>w.10(*/,P:h,P=fAY0kB VWV80|Z[%\0(:m7W,;VW46%JV;I]AQEF,;RQ,+>P%J:Q>P=GEQ46VW*W,Ly]EQ,37W%?RF%J*r,;*-7W%J*&Z0(>N78%JV-,;*r{1*W46%J=T%(B tJ4G>P%J*
0(:10(=64Gu@0kRQ%J*46:F1EFb(,;:h*-4GtJ:F46{1>;0k784n2(0k'),P:]7W,c*W%JjFVW,L=K09Z[%JV-'h0RQ,P=i>P%JVWV-,;=6%JtJV80k'h0+'X%J:Q%J*-4G:Y0kB AF7846>;%,NM]
>;46780(RQ%JVPo 0(VW0)=G0)')0Tb(%JV;DB 0XRF,\,;*O78%J*LZ0(>P7W%JVW,P*<^¼784G,P')Ai%RQ,\*-EQjQ46R10hRQ,P=p IiV80|784G%dÜé0(')AF=G467WEQR
RQ,;=Fp kV-EQ4GRF%QÜ6I@¹Sº¼»»½N¿3bEQ'UjQVW0(=?RF,/RQ4G*-A10(V-%]ga=G094G:FQEQ,;:Q>P4K09,P*'0(B **W46tJ:Q4n{1>@0k7W462k0Y,;:<=K03VW,;t(4T%JB :
RQ,;=CAF4G>;%\')%J:F%J*W46:Y0(B AF7W4G>;%Fo#?46:,;'Uj10kVWtJ%QI?VW,P*-78V-4G:Qt(4GV&=G0\RQ46*-7w0k:Q>;4G0\,;EQ>P= DB RQ,@0<0U=G0\VW,PtJ4T%JB :RF,;=xAF4G>;%
4G'XAQ=G46>@0U4Gt(:Q%JV80kVL,P=í( RQ,;=a>;%(VWVW,P=G%Jt(V80(')0<,;:,P=>C0(B =G>PEQ=G%XRQ,q,;*80)RQ4G*O7w0(:Q>P4K0Fo 0(V80)>;%JV-VW,;=6%JtJVW0|
'h0(*YRQ46*-7W4G:m78%J*30(='X%J:Q%J*-4G:Y0kB AF7846>;%,NM?>;4n7w0(RF%JV;IÀ=K0AQV-,;*W,P:Q>;4G0hRQ,2k0(=G=6,;*cbvAQ4G>P%J*L*W4Gt(:Q46{1>;0k784n2J%J*Y:Q%
*W,XVW,;*O78V-4G:QtJ,)0v=K0VW,PtJ4T%JB :sRQ,P=r>;%JV-VW,;=6%JtJVW0('h0>P%J')AFVW,;:FRQ4GR10,P:]7WVW,wTb~T JIAf%JV=6%y]EQ,X=K0
RQ4G*O7w0(:Q>P4K0,PEQ>;=¶DB RQ,;0v,P:",P*80vu;%J:10:Q%d4G:?Z[%JVW')00(RQ,P>;E10kR10('X,;:m78,XRQ,=K0')0(tJ:Q4n78EQRRQ,=G0(*+2k0(VW4G0|
>;4G%(:Q,;*c,P:]7WVW,RQ46>w.Q%J*c>P%JVWV-,;=G%(tJV80(')0(*Pop#:v,;*W%(*L>;0(*W%(*;IQ,P*cAQVW,P>;4G*-%EF7846=G4Gu;0(Vz=K0\RQ46*-780(:Q>;4G0\,;EF>;=¶DB RQ,@0
ºs
ºs
Ñ
m
rq
ºsut
Jæ
m© ª;:5ªÆ¥ ¡+Ç=¡ ±\< ¨Á¯®r§®z¬ ¢f¡q ¤N¨Í¯®}« £¦ ¬x­X¦a®r¯ ¡
0U7W%?RQ%,P=>;%JV-VW,;=6%JtJVW0('h0?I?%jQ46,;:v,;*O7w0(jQ=6,;>P,;VY>@0(VW0(>P7W,;V-4Gu@0k>;4G%(:Q,;*cy]EQ,q>@0(A?78EQV-,;:d=K0(*cAQV-%JAQ46,;R10(RF,;*
Z[EF:QR10('X,;:m7w0k=G,;*L^0('XAQ=G4n78EQRCI|=G%5>@0k=G4Gu;0(>;4@%JB :b0(:Q>w.]EQVW0RF,/2(0k=G=G,P*bUAF4G>;%(*;Im=¶DB :Q,@0k*j10(*W0(=G,P*;Im,N78>(ogURQ,
=6%J*z>;%JV-VW,;=6%JtJVW0('h0k*z%(jF78,P:Q4GRQ%(*¸b)Af,PVW'X467w0k:),P*-7846'h0kV¸=G0')0(tJ:Q4n78EQRXRQ,9=G0(*&RF46Z[,;V-,;:Q>P4K0(*z,NM?46*-78,P:m78,;*
,P:m78VW,q,;=6=G%J*Po
ÈÉ> ?×UÙ ×AÓ@ Ò Ô ÎÌÎÕÖ×UÏLÐ Ò Ô Î BÑ ÕDC Î Ô ×
0(V80·Ai%5RQ,;VRF,;>;46RQ4GVdy]E¸,B '~,PB 78%5RQ%·RF,j+EQB *Wy]EQ,PR10
RQ,>P%J:Q,NM?46%J:10(RQ%(*0(=67W,;V-:10k784n2J%J*l0(=\'X%J:Q%|
*-4G:Y0kB AF7846>;%*-,,;=64GtJ,kI,;*AFVW,;>P4G*-%·RQ,P7W,;V-')46:10(V;I,P:ÍAQVW46'),PV=6EQtm0(VPI,;=7w0(')0 :Q%RQ,;=q,;*-A10(>;46%
RQ,
j9EFB *Wy]EQ,;RQ0FoÍp#:·,P*-78,l0(A10(VO7w0(RF%"*W,0(:10(=64Gu@0k:=6%J*XRQ46Z[,PVW,;:m7W,;*A10kV10(B 'X,P7WVW%J*Xy]EQ,4G:?1EFbJ,P:·,;:=K0
>P%JVWV-,;=G0(>;4@%JB :RQ,<0k>P784n254GR10(Rl,;:m78V-,X:F,;EQV-%J:10(*RQ,\EQ:10>;%J:F,NM?4T%JB :'X%J:Q%(*W4G:c0(B AF7846>@0X,NM?>;4n7w0(RQ%(V80FICAQ0|
VW0,;*O7w0(jQ=6,;>P,;V=K0hV-,;*-%J=GEQ>P4T%JB :'DB :F4G')0XA10kV80>@0(RQ0EQ:Q%vRQ,<,;=6=G%J*Po\p#*W0vV-,;*-%J=GEQ>P4T%JB :RF,P78,PVW'X4G:10)=K0
')0(tJ:F4678EFR)'DB :Q46'h0RQ,3>@0('\jQ4G%q,;:>;0(R10AQ0(V10(B 'X,P7WVW%y5EF,+*W,3'h0(:F46{1,P*-7w00\*WE)2J,;u9,;:EQ:h>@0('UjF4G%
*-4GtJ:F46{1>;0k784n2J%,;:=G0>;%JV-VW,;=G0(>;4@%JB :XRQ,90k>P784n254GR10(Rxop#=fRQ0k78%qRQ,LVW,;*-%J=GEF>;4T%(B :)RQ,3>@0(RQ0A10(VQ0(B 'X,P78V-%Af,PVO
'X467W,&>;0(=G>PEQ=K0(V,;=?:+EQB '),PVW%+RF,c>;%J'UjF4G:10(>P4G%J:F,;*Ai%J*-4GjQ=6,;*RF,/2(0k=G%JV-,;*RQ,&=G%J*RF46Z[,;V-,;:m78,P*#A10(VQ0(B '),N78V-%J*
b(IAf%(V97w0(:m7W%QIC,;=7w0(')0 :Q%hRF,;=,P*WA10(>P4G%RQ,<j9EFB *Wy]EQ,;RQ0Fo<$&%J'X%*W,U2(,;VQ0dB 0k`=e{1e :10k=RQ,<,;*O78,0(AQ0(V-780|
RF%QIC,;=a7w0(')0 :Q%),;*-7W4G')0(RQ%RF,;=,P*WA10k>;4G%RF,<j+EQB *Wy]EQ,PR10s^RQ,P=%JV-RQ,;:RQ,@ g3.10k>;,U46:]254G0(jQ=G,EQ:10
j9EFB *Wy]EQ,;RQ0X,SMF.Q0(EQ*-7W462k0RQ,>;%J'UjF4G:10(>P4G%J:F,;*cRQ,A10(VQ0(B 'X,P78V-%J*/{1*-4G%J=@%JB tJ4G>P%J*;o
p#:q=K0c*W,P>;>;4@%JB :\?o6r*-,zRF,P78,PVW'X4G:10kVW%J:=G%(*CA10(VQ0(B '),N78V-%J*>;%J:q')0Tb(%JV4G:?1EQ,;:F>;4K0c,P:=G0/>;%JV-VW,;=G0(>;4@%JB :
RF,)0k>P784n254GR10(RF,;*+,P:]7WVW,_a`3b_fe,;:EQ:10>;%J:F,NM?4T%JB :s'X%J:Q%J*-4G:Y0kB AF7846>@0FIx0vAQ0(V-7W4GV9RF,X=6%J*+V-,;*WEF=67w0kRQ%J*
%(jF78,P:Q4GRQ%(*+,;:,P=>@0(ACDB 78EF=G%H?o 0(VW0,;*-7W%J*A10(VQ0(B 'X,P78V-%J*;Ix,;:=K0)*W,;>P>;4@%JB :?onU7w0('UjF4N,;B :l*W,<>;%(:Q>;V-,N
780(VW%(:=6%J*cV80(:FtJ%J*cRQ,2k0(=G%JV-,;*cy]EQ,q,;=AQV-%?>P,;*-%)RQ,qj9EQB *-y5EF,;R10RQ,q>;%J:F{QtJEQV80k>;4G%(:Q,;*^[{Q*W4G%(=T%JB tJ46>@0(*¸b
7W%JAi%J=T%JB t(4G>@0k*wg/RQ,;ji,\7W,;:Q,PV+,;:>PEQ,;:m7w0?o 0(VW0RQ,P7W,;V-')46:10(VL,;=780(')0 :Q%RQ,;=,;*WAQ0(>;46%RQ,Uj9EQB *-y]EQ,;R10
,P*:Q,;>P,;*80kVW4G%s,P*-7w0kjQ=G,P>;,;V<,P=c:+EQB 'X,;VW%lRQ,2k0(=G%JV-,;*<y]EQ,*-,d>P%J:Q*-4GRQ,PV80(:~RQ,P:]7WVW%sRQ,v>@0kR10EQ:Q%sRQ,
,P*-7W%J*3VW0(:QtJ%(*;o
p#:m78V-,=K0v>;%(78046:FZ[,;V-4G%JV+b*WEFAf,PVW4G%(VRQ,X>@0kR10l4G:m7W,;V-2k0(=6%vRQ,)2k0(=6%JVW,P*A10kV80>;0(R10dA10(V10kB '),N78VW%FI
,P=/:9EQB 'X,;V-%RQ,2k0(=G%(VW,;*RQ4G*-Af%(:Q4GjQ=6,;*RQ,;Ai,;:QRF,;V10sB RQ,=G0"¿8½ Nº }E% (¿ RQ,RF4G*W>PVW,N784Gu;0(>;4@%JB :
,P=G,PtJ4GRQ%Foc´0)VW,P*W%J=6EQ>;4@%JB :lRF,;Ai,;:QRQ,kIxAi%JVLEQ:l=G0(RQ%QIÀRQ,q=K0:10k7WEQV80(=6,;u;0)RQ,P=A10kV10(B 'X,P7WVW%Qo %JV9,-,;'<
AF=G%QIrRQ,PjQ4GRQ%0y]EQ,v,;=c'X%?RQ,P=G%RQ,v:Q,PEQVW%(:10s7W4G,P:Q,EQ:10sVW,P*W%J=6EQ>;4@%JB :78,;'XAi%JV80(=¸RQ,dR&,;B >P4G')0(*<RQ,
'X4G=64G*-,;tJEQ:FRQ%QIi,;=780(')0 :Q%hRQ,<t(V80(:Q%'DB :F4G'X%)A10kV800(=6tJEQ:Q%J*3A10(VQ0(B '),N78V-%J*+,;*PIAQVW,P>;46*80('X,;:m78,kIRQ,
@ moqp#*-7W%v%?>PEQVWV-,UA10(VW0A10(V10kB '),N78VW%(*+RQ,;=')%5RQ,;=6%h>P%J')%=6%J*37W4G,P')Ai%J*9RF,<*WEQjQ46R10hbjQ0W0(R10
RF,=G0>PEQV-2k0RF,>P%J:QRQEQ>N7w0(:F>;4K0RQ,d'),P'UjQV80k:10^KåaâG`\båaâèeTI¸VW,P*WAi,;>P7W462k0('X,;:m78,@gNI/,P=#¹Sº¼»ß»½N¿b~=K0
=G0k78,P:Q>;4G0*-4G:Y0(B A?784G>;0Fo %JV&%k78VW%\=K0(RQ%FI5=G0:10|78EQVW0(=G,Pu@0RF,0(=Gt(EQ:Q%J*zA10(VQ0(B '),N78V-%J*¸,P*/>;%(:]7W4G:]E10FI?>;%J'X%
%5>;EFVWVW,>;%J:l,;=Ai,;*-%*W46:Y0(B AF7W4G>P%QIfy]EQ,\AQEQ,;RF,\78%J')0(VY>;EQ0(=Gy]EQ46,;V32k0(=6%JVYVW,;0(=,P:m78VW,\=K0)>P%(7w0)4G:FZ[,PVW4G%(V
b*WEQAi,;V-4G%JVcRQ,*-El4G:m7W,;V-2k0(=6%<RQ,2k0(VW4G0(>;4@%JB :Co
?46:\,P'Uj10(V-tJ%QIJ0kEQ:Qy]EQ,&=G03:10|78EQVW0(=G,Pu@03RF,;=5A10(V10kB '),N78VW%LAQEQ,PR109,P*-7w0kjQ=G,P>;,;VEQ:\780('h0 :F%L'DB :F4G'X%
ô
ô
)}
)}
}
)}
ü
þÞýù fÿ ø
FúAø
)}
{v esut
}
(í
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
distancia euclídea al correlograma de referencia
400
100
350
0
−50
300
0
50
250
200
150
100
50
2.8
3.1
3.8
4.5
tiempo de subida del EPSP (ms)
5.2
P/ýòþ¶4GWø tJüTcøEFúü|LV8ø 0üTý/5oéþ¶ýQý ý ýOþ¶ßý úkúý ø /÷ù¾Pú øþ¶(ø ûccøøSüTþ¶Nýþßöú ö|üTø ý ]ú |øüøSø&þ¶ø9þ üTøNý ú ö]üTõ |ý¸úéý-ýOþ¶þ¶XüþßûPø öþ ýý ú kýzù¾þ¶ú|ý /ý|ø+ö ¶ù¾þ¶û ø¶|øý Tù]÷|ú-û ûÿøSÿ &ûþ øz/ûùOwû øS||þ8ößûPÿ ýø ößú øYøNúéÿ þ ÷ üTßú ûPúö ùO¶öxø3ø üTký úù¾öúßùOøYú ú ý ßøNkû;üTöxù ûPKõþ¶ÿ üø ý-øcüT)ø ý öý q/ûù¾ø TûPþßüTþ¶ú ý(ùOû øø
ý wSøý-ö ûNßþûüTýWöý m÷køSþ(ø ýÿ /ý ø¶þßýWû ù ||øPù¾ýúWû üÿ ý ßý-þ /ú |ø&ý ý ßû /ø¶úéý &÷w(ø ûYûNþ¶üTý-ý#öFö üTýWößúüTüý ø/üTý ø/ù ||øNþ wö ¶ø&ø üTýrù¾û |Püù¾û|¸ù ¶ú ø kkù¾ù¾þ¶úý ø¸/ýüTý ß/ýû;öQüTý þ ø |ø&üTý
|ûPú ö#Pý õ füýY÷kû þ¶ý-ßýö |ù¾ú øø xßüTýWýYö#öþ¶ûýO÷(ûP|ößûûNþ /øiý-ÿ øPéú ö-ý øPüTûPö þ kø ößø |üTû,÷|øSF þ ø9ý [÷|ý øN/÷þ¶ø3û ûPö¸¶ýüTýYý-ýWþ ö ¶ûPözû;ö#ùOûNõ þ¶þßý éû lNþ üø ý/cøø N/÷ö é÷|ú øSkþ ü øùOøPüø wø ûNø þ
þ¶/ûüý ý ý-þßûPý öß|ú ù¾aöú øSýø/ÿ ÷ Pû ¶ýúù-ßø3ýý-|þ¶ý ø úüTù¾û9ú ¶ù¾øNû ü&ûûNù¾þ LûPø9þß÷þ¶ùOþßý û û <û /ýP÷(-þ¶üTøý-ößcøúûLûNüTööúý ÷køNøSÿ ÷ þ ßø ú ù¾ùOûûPûNö þ¶þßý |éû ýYNþ öøý cø/úNöxý üTf÷ý üþ¶ûTúøø ù¾NýWüTþüTúø öý cø¶ø ß+|ýWöaù¾üTú ø+üTý ý&|ý köøNú ùþßKþ ÿøNüöý-øPø+üTù¾ýYúø û ý-þßýW<þ¶öûNüTþrù¾ûPý üþßýLþ¶ý |ù¾øLû û PéùOûPþ¶û øþ /øý 3@ý PúWûüTþßÿ ûý
þ¶ø ýO÷|(þßýWûPöö ý øNüTø û;ö1ø/üTý ý Pû ø |Kù¾ÿ úWûý-ÿ 9øüTüTýý ÷ûPþ¶ûöC/ý÷þ¶Wû üT/ýúéû;-ö üúéüTû;ý ö øNKö1ÿ |üý-úø/ö ¶ù¾ø ý |ù¾¶ú þ¶øNø öQý |ù KøPÿ üTöý-üTøPý-öFö ø @úøPù¾ù¾ûPúþßû þ¶ý ýWû öfPýWþ¶öø (/øø ÿ |aü|üTøSýþ þßý kýOøSþ¶þ¶ýþ¶|øPöùOúPø ýOþ ý ßkú ùOüTø úøéýWNö þ Tø ø
cøÿ úù-üTø ý /ý|øNþ߶þ ýøNöFý 3ø ù |@ý þßý-¶÷ø þßýWø¸öý þßý ¶Nø úWû ÿ øYý üTPý û J÷|úù¾ùOúWûû ÿ /û/ý-ûPüTößú ú øaøSzÿ ÷ üT¶úýWùOö û @ú øNù¾úWû ÿ ¸ý-ö kø ÿ |üøSþ éüTû;ý ö wøø üTéûPú þßö ýWøöf|üTùOý úøûPý öfk÷|ù KøSÿ üþ(ø ý-ÿ /ýø ßý¶|þßû;úéý öi|üTüTý û
/ûTý-üTüý ý#éû/û ÷||øNößýOþ¶þø wßøSûTþ üTöý#û;ö ù]û ÿ ûP/ûöùOûNøYþ¶þßüý éúûö ¶Nø þ |ø ù¾cøú ø/Nöiý |öû ù Kÿ üTûPýWø/öxý-ø ö ?køùOÿ ûN|þ¶üþßøNý þéû Niþ ý-øÿ øPcøöýzöüýWýrùOùOþßú-ý û ÿ ýOþ¶ý |ùOúø/ù¾ýWû ö 3/ýþ úüTûPû&þaöß÷|ú øNøSþ¶ÿ ø÷ ¶úûPùOö û wø éûPú þßûNýWþ ö&ýüTý
¶ýWúéö ý /÷ø#küTûú ö üTø ýY|ùOö úøø ú üø+&ýüTý ¶iø#õ ù¾û dûNþ ÷|/ýþkû Cÿ @ý ú /û¶Púéý ö/÷ø kûr8øüTéýûPþö ý-|ö úküø ÿ ø#küüøSý þ|õ Uößýø ]ý ÷kø#øSüTþ øýö 8ø éûPþÀý-ö kø ÿ |üøNþ /úé5ý øßþ þ ø øNßö úû#üTýý
ýWýù-Àøö#ù]üTø ÿý úéù ûcéüTûý üTý-ûPö¶ý ø3öø+÷þ ø þßüT¶û úéú/ýû+ö ¶-ø üTüT|ýYúù¾ûPù-ú öø3ø üTý ý ||ù úéøNû9Gÿö üTý-ýWö#ø üTý üTú öÿ /ýø O|ù þ¶kùOûúø øP|üTöCüTýcý û|üTùößú ýKöÿ÷|üTßøNýWúþßýøNû;öCöý/÷|ý ýøN<þ¶ø/ù ù-øNý þ¶üý-ø ¶ùOøsû wPø ÿú|üTûNû;úþù-öø üT/ý÷|ý øS¶þ úéøý ß/÷ý ¶û@küø9ûLûPþßüö ý ýrNûPúWö û ö#ÿ |ù¾ûPúüüþßý øcþ¶1ý ü÷û ý ú Pù¾5þ¶û+õ ø cø÷|øNNþ¶ö ø
ú |ù ú üTûcý ]üTý#þßý ýOþ¶ý |ùOúø
|þßýWù ý |ù¾ú øNöCüTýrüúöß÷|øSþ¶û
6K
; § > @ » "
b »
I
` · K ¹ y ¶F>
>E O
p
B´ y´
j
l
j
Z
cl
6 A &K
_L J L
> 4
b
_L J L µ
p
¸
r G>
& ª &K
&
> O 6K ´ ¹ b
¹
G
¹ 4 > µ b
¹ X c0Z
à ^
[N]DQ\R
^Q\R
[N]~QR>¸
c
_L J L
&p > d ¶
KO º
)L J L
&
j
aN&TUVQ\Ä
c l
">
§¼ §
> j
a ^
l¸
B @ ³>
B
I
b »
X cZ
]F[[
· K >
>
> ³
³
][[
> O
O E
IK
> º Z§c ¿ U¸
> ³ º
> @
&
§ K
_ & ¹
j »
l
j
³K V
» b »
·
l
¸
K
¶
¯ µ
b
b § » ; j
l
³
6 > O
) µ
jbSº][Ne][QRWêl¸
³
_
> >@
b > ¹ > d
O " · d >
j
M a>l
L)
K d
> B
b »
> · G &K
)L J L
) b ¹
¹D º
jHÆ MONdPfQR
XVc0Z ¿ [N0UVQ\RFl
§
§ >O· d
bK
_L J L
§¼
&" b wÂ
6K
º
>
º
§ »
G bK
_L J L
]F[[
¹
³K
¹ G "
] ¸
M T
"
b » ¾´
B
¹
c
· wÅ w´
Z ´
Z U [[[
¸ c Æ ]Ã[)R
Z Æ PT)R
G
G
©mª;:5ªÆ¥ ¡+Ç¡=±\< ¨Á¯®r§®z¬ ¢f¡q ¤N¨Í¯®}« £¦ ¬x­X¦a®r¯ ¡
(
700
100
distancia euclídea al correlograma de referencia
650
50
600
0
−50
550
0
50
500
450
400
350
300
250
200
2.1
9.1
15.7
22.4
29.1
duración del EPSP a amplitud media (ms)
é&ýòû 4GNWtJþüTøEQú ücøVWø 03?üýcoý9?þß ø ý ýO/ýþ¶úøý |NþùOøúø ø cøøqNøNöþßü þ¶üTú ý|þ øNø+kù¾øSøúWûþ¶ÿ þ¶øøPöaüüTý üTý-Cý¸þßýWõ ýOù þ¶|þßø ûPþ ý ýfý ÷|køNøþkø ý-ÿù¾/ýöû ß|þ ýßø Tþ¶ûú-û ÿù5üTû ÿ ý /û/û/ûwTûPøNüTößþWý ú ÿ aøû øSÿ ÷ øL¶úüTù-ý9ú ø3ö öýýø |&ûù¾ùOú úT¶øLøNüTüý ú k|ûNù-þù øøKÿ üT÷|ýWüTøSøYý þ øø ùOû ø |ößù¾ý ûPþßþ¶ý úéø þ
üTüTúý ö ß/ýú ßû;öxþõ ø |øzüTý ý-ö ø¸ù¾û |ýö ¶ø û cøßý wø éûPüþßý ýWöføzüTýWýWößù ü|ý øPù¾úWû ÿ |øPö ýø ø ýWù ¶ø¸;ø ù¾û øz3ù-ú ø|kÿ ù¾üþ¶ørý /ýüý ßø¸û;ù öiüTþ ý8ø¸üTýù¾û kü ûP|öiù õ ø |ùOúø
þß÷kýWû ö ßý k¶øù¾ú ø ßCý-ö/üTýLößû þ¶ýO÷(ûPûNößþû cø fýWúÿ WøNøNößýüTû;ö ||þ¶ößø ø |üTûH÷|F øSþ ø+÷|ý [øSý þ /÷øû éû;ßö¸ý üýOý3þ ýWö ¶ûPûPözö/ùOõ ûNþ¶þßý é"û NüTþ ýø cøø N/÷ö ú ößúf|ü ý xõ ýWö ø |þßý ú NPýý üTý
üTüTúúößöß÷|÷|øNøNþ¶þßû;ø ö /ýý Q|üTûPúö ø Nþ ø cøcüTG ý |+øSþ¶öþ ýrøNöþ¶ý üTý¸úýOýOþ¶þ¶þßý ûPþaößüTú ý&ù¾û øNûNù¾þ úû |ý ý-Pö þßûYÿøNþ¶ýOö ÷|þßøNýWþ ö;ý øNöCø ÷|øNøYþ¶ø ý NPûý ký-ù¾þ¶úWøNû ÿ þ üTý éû;ÿ ö/ý÷-þ¶þßûûc/ýýWö-÷(üý-úéû;ùPö ÿ (ù¾KûYÿ üTý-øý
ù¾üTý úö ¶¶ø þ¶|ø ù¾ú øNözý øN|öù KüTÿ üTýWöýW@øNúörøNù¾ø úfû |ùOûNý-þ¶öþßý-ý öéû køNÿ |þ ø ücøøSþ LüT|ý3øSþ¶þßþ¶ý øPöýOþ¶Ný ýO|þ ùOßúú ø ùOø éý ýWxö müTø+úø Nø þ ø kcøû;+ö üTøPý üTkûPöøSþ¶üTþ¶øPý ö#ø ø Gÿ fýWþ¶ø3ýO÷üTþ¶ý/ý-öß÷ý þ¶û /ýø WüTøúéû;ý ö Nû üT|ý ùOú-û øNÿ ö
&ûéû /ýN-þüTø ûPcøú ößø ú NYöQøSÿ ÷üT÷¶ý-þ¶úûTö ùO@ù¾û úýWøPüTù¾ý úWû ÿ ß3ýWöÀý-ö üTkýaø ÿ kößüú øSþ øNýüTùO@ý úéù¾û ûNø¸þ¶ý-þ¶üö1ý úüTö û ¶ý Nø þ |ø ù¾cøú øz/úxý üTö|ýÀ/ûù þ¶Kzÿý üTù¾ý-ý-úøþßþ ý ù ß|ý ù¾ú ßú øûúéý öß|/ûýiüTùOûv|ø ûPÿ ù ößú úùOø øNøÿ ÷ &ý/ýßWú ù¾üTû#ßú øýý ý ßù¾+ýÀú ¶ý ù øNPü÷|ý ûNþßþ û ¶&ýø ùOWû ø&üTcúþ¶û÷(ý ý-NüTößúWý ûûzÿ 3ößú üTý øNù¾ÿ m÷ ûP÷ßþßúúþ¶ù¾ù¾ý ûû
|ý¸JIößú |öTýOýÿ þ Ný-ûPkößö øLýwüTù5ø ûú ÿéö ûP/û¶þßþßýWú öC|ûP÷|ùOö øSú-ûþwÿ ø ø éûNû;þ¶öCý-ú ö÷|ûNøSüTþ þ(ý/ýø ÿ /ý¸øcøNüTßùOþ¶ú û ö ûP¶öøNø üküTøcù¾ý ú ø/ý /ûý @|ý üùFGý þÿ üTøûLýWø&öPû û ø 5éù¾û;ûPöCþßþ¶ý-ýö kû ø ÿ Pkþ¶üø øScøþ |zø/üT÷kýý#øSþ¶ùOþ ý ýOø ÷Jý-þßù¾ý úWû|ÿ ù¾ú ø/üTý ö?û þ |/ýúüTûYößûNú þ¶ý-øSÿ öC÷ ÷|÷|¶úøNøNùOþ¶þ¶û øø
éý-û;ö ö¸kø ÿ ùOkûNüþ¶øSþßýþ#éûüTNýcþ øü cøþ NøNöùOú-÷û ÿ þ¶qûTù¾üTý-ý üÀý õ ßýWözüT(ý9÷køSù¾úþ þ¶ø ù ú ¶ûPö¸ù¾û wø mûNý-þ&öüTüTý3ý ü |þ¶øPù¾úWû ÿ öú üT\ý xý õ køSþ sNû üý ø3üúö ¶ø |ù¾ú qø9õý |ù wGÿø üTýWûNøþ
øüT5ý ùOúûNüTþ¶ûqþßý øéû Nþ ø ýLcøý ziüTùOý#ûNþ¶þ¶þßý ý éý-û þßNý þ |ø ù¾cøú ø LüTûcýLý-þßö ý ÿýOþ¶ý |ú cøùOúø |¶ùOúéûý /ûý cùOø þ8ÿ ø¸üTúý-ößöß÷|÷køNý-þßþ¶û;øNöþ Tý ÷køSþ ø¸FýWö÷(ý ýOþ¶wûø éýûP<þüTý ýzxüTü úø þ NøNþ ùOø ú-cøû ÿ 99üüTý ý 5õ|øNþßþ øNö
üTüýzøPý-üTþßû þ¶ûNþöký/û ÿ ý ûLøcÿ÷|/ýøNþO¶þ¶úéû þÿüTý ø @ú /û89ø éüûPý&þ÷küTøNý&ößûPü öþ üTøNýcùOú-öû ÿ ú +üý¸øNùOõ ú-û ÿ ÷|øNüTþ¶ýø øPööú ößøNý ùOúéßû úýý-ýöüTý-ý ößÀûPüTö úø Nþ ø cøLüúößü÷|ý øS|þ¶ûPøNöþßþ ý øNöüTý
ýOøþ¶þßüûPþ1þ ý-øNö ù¾køúWÿ û ÿ <ú /úüTý ¶xøPüTõ ûzø LK öýLNM ø éý ?øø#üTüTý3úö ý-¶ößø ý |ù¾wú ø ø#ûNý þz|ù ùOKþ8ÿ üTÿ ¶ý-úùOø#ûø küTýù¾ûPþßþ¶ý û Pþ¶ø cøa?üTøýþ¶þßø ý ßúýOûqþ¶ý üT|ý9ùOúø#ùOø ößýú |úûù¾þ¶üTý /ýý ûPözø#÷ù¾þßûû /ý-ûNüTþ &ýúûPö
üTüTýý øNö ù |ø |üTüúöûL¶ø öý|ù¾ßú úøNý öaýrý |ý ù qKÿ üTù |ýWøNý ö¶÷køøSþ ÿ øcúùOù-øNø ü|/ýø wø¶ýûNþøYüþßý¸ý Nü úWû ÿ þ øNüTùOú-ý û ÿ?÷úüTù¾ý ûYQ÷|õ øNþ¶øYý ?ý-ù5öø ÿ üTù ý ûYüTý ý-ö¶øcøYþ¶üø úö߶úûLø |üTù¾ý&ú ø/ùOøý |ù KÿúüTûcýWý-ø ö
þ¶ý-ù |ý |ùOúøPöüTý#üTúöß÷|øNþßû
G
G
³K
¯ ³6 b » "
§ »
I
` · K @
0
©
> > O
B´ y´
j
l
j
Z
cl
E \ O
)L J L _
E
@
>
¸
b
_L J L 4
> § ¯
· ³
¯ d
O »
Xwcdc
à ^yj
¯ ³K ¯´
¹O e ½ §
¹ _L J L
cFl
[N0UVQ\R
M[fQR
[N]DQ\R¸
b | d ¶
>KO B
)L J L
pd
¾ j
cnl
aN&TUVQÄ
"
§¼ §
> _L J L
³K ¹V´
j
a
l¸
c
" 6
; &
G e\ Z »
jHÆ ]FUR
l
6K
; > " > 6
¸
j »
Á
b
b K
µ & ¹
6K " y » B
l
j
l
b »
> · K
¶
@ >
¸
G
&
b b » ½ 6
j
l
> O
· e
>
jbSº][N][fQ\RWÞl¸
]F[[
> ³
>
¯B &
º O
O
j
"
D
>
b F¹
&
O ¹
Zbc ¿ U>l¸
>
> ³
§ K >\ · d
"´ S MN]N¯aNb^OÃwQ\įW
Z
S MONdMN;aNdafQ\įW
´ ¯K d
B ³
b »
· >y c
> p
åç O
_L J L
)) Æ ]FUfQR
b O
> )L J LV¹
¹
³K d ¹ª
b »
Xwcdc ¿ ^)QR
TN0ÃwQ\R>¸
> · G
e » ¹ K »
¹
º O
> _L J LV¹
K
\ > · y ´ ¹
IK
U [[>[
c
b
³\ O
>
)L J L
º Á´
]FUONÃwQ\R
U [[>[
c
y f @
³
>
@
³
>
6K
j
b º Â
b »
· · d
U ][ l
O
_L J L
b¼
»
ÁÂ
6K
>
Æ ]nUVQR
³
b »
B O
> )L J L
¹
6K
][[
] P¸
¹ ½ ½
6
b » ] Ã
Å 2w´
Z ´
Z ZÆÛMU)R
¸ c¯Æ ]FUµ ]nÃU)R
> TäJ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
distancia euclídea al correlograma de referencia
1800
1600
1400
100
0
−50
0
50
1200
1000
800
600
400
200
0
−41
−40
−39
−38
umbral de disparo (mV)
−37
−36
/ýòû 4GPWtJþ¶üTøEFúü|cøV8ø 0&5üýzoýäFþ¶ø ý ýO/ýþ¶úýø kNù¾þ ørúø ø cøý NøSöþ¶þ¶üú |ý øLþ |ø øøNJþßüTþ øYýøNöaúüTúüTößý¸÷||øNúéý-ý-þßþßþ¶û&þ¶üûNøüTþ ý ý |ø ý |ý |øLþ¶ý-û ùOö |ûßøzþø ý ÷k@û;úWù5ûö ÿ û ÿ ö/ûú /ûøNÿ ÷ w|ßøSûPú þ8ùOößÿ øúø ;øNÿýWø3÷ öfßüTüú ùOú ý-ö øYù¾úø ýþ |@ùOù¾ößúúý øL¶øP|ý üTøN|ûNùOù þ ý Gø ÿ /ýüTýWüTøYý û;ø ö |\øý Pù¾ø ûPßþßú þ¶Ný øû
ößøNiý üý-ÿ ûPøPøöröý üTøý ý Pø û þ¶ø K|ÿ ù¾úWý-û ÿø+&÷|üTüTøNý3ý þ¶ø/÷ûPþ¶ý öQû [ý/ý÷/÷þ¶-û üT/ýúûPûP-öö üüúéû;üTýzö ý ù¾ûPKøNÿ þß|özþ¶ý-ý øüTû úù¾öPý¶þ¶ø ø |¶/øþ¶ù¾ø úPøNö örý ý |5øPù ö1üTGÿ úüTüTø ý-ýWPö øNþ¶@örø úcøøPø ù¾i&úû ù¾üûPý ýWþßþ¶ö?|ý ýWøSûö þ¶(Pþ ø ÿþ¶øN|ø öCü|/øüTøS9ýrþ ý-üTkþßýYþ¶øSûNþ¶þ¶þþ¶ý øPüTý-ö ý¸þßPý ù¾ýO|ûþ ù¾ßú ûNúø ùOþ ø |éý ýWýfö NSüTþ¶ø#ú û/ø øPþßþ¶ý-ø ÷(/øþ¶ûPý ö
üÿ ýú|ù-ø øN/ýþßþ øNö¶øý#ý Qþßù ý-÷ý þ¶ý-¶ößø ý ø/¶ø þßý ø3NúWûý ÿ +Pû üT|ý ù¾]úW÷|û ÿ úùOû /ý&û-üTú øûPößú øSüTÿ ÷ ý-¶ö ú@ùOúû øPù¾úWû ÿ qýWö (ø ÿ |ü|øSþ üTýý ?ø3ù¾ûPüTþßþ¶ú öý ¶ûø kPþ¶ù¾ø ú øLcøý r|üTù ý#Kÿ üTþ¶ý-ý øýOþ¶ßýý k|ù¾úéý ú ø&|üTößûý
/û÷kù-ø øSþ(ù ø ÿ ûP/ýößø ú a¶&ýþßøSÿ û;÷WöxüT¶úúüùOø ýû9ßý /ûý/ù¾Tý úiüT¶ýøN÷üþßûYûûN/ýþüTý -ùOüTû úý û9Uþßü÷(û ý ý-|ößø&ûööû ú ù¾øSûPÿ ÷þßûPþ¶ßöCýú ù¾ýWûû ö P(øþ¶ÿ ø|/øü|øSPþ ö÷fþ¶ýWÿûTøNQù¾ößù¾ýWýûüTößý ý-ù-ßù¾ýWúWöû ÿ üTýcüTöú úö÷k|øS÷|þ¶øSûPøNþ öùOø úéûý |ý-øcöüTüTýú öéû;¶þßö ú w|/úø ùOûNú-ö û þ¶ÿ/ûý-ö÷||ù¾øNúú þþ¶ûPù ø þ /ýú ßûPû ö
÷køPù¾øSû þ ¶øLøNþ øýü|5øaöß8üTýrø ýxéøûPþ þ#|ý úüTüTøcý ûüößý#ú ý-øNößÿ ý÷ þ øß8úÀù¾ø ûüéûPý/OþI üý ú|ößö÷|ý-ý ÿ øSþ5þ¶PüTû9ý-ú ößø ý-ýÀNö kù]þ øûø ÿÿ k/ûcøü/øSþüTøý üT|ú ö øNþßø þ |øNùOöCúøüTýzý5|úýO|ù þ¶KùOþßÿ ûPþßüTý þ ýW&ýøa?ø ø/@kùOøþ¶ÿ ûNøkþ¶ßüTþßúýû/ûPéößû üý Nýzþ ø9øùOcøø üTúCö ¶üTúø ýCûc|þßù¾üTý ú ý ø+ýOþ¶øûPý ö|&ýùO÷úWþ¶øaüTû ý-ú/ýüö øWÿüTúéû;|öúý&cøüTý ý
¶üøNúéý ý ö ýCý |&þ¶üTùø ú ö?ý üTø ý&|ùOø<øSú÷øPÿ öiþ¶û úý TùO|øú cøù /ýKÿNüTü|ý-ø¶øPý/ýöÀ÷|øøNþßßþ¶ýýøzNùOúWû øNÿ zü|ø üTý wTø ÷ûNú ù¾þxûøYüT÷|ýüTøSú öþ øø ý|þùOù]øúøcø(ÿ ý-ýù öx|ùéüTûKý ÿ üTüTý-ý øcøø ý-üTö¶/ýú ø#ö þ ø ø |¶ßùOøLúû¸úøüTüýý ý|cøùù-Kø ÿ üT|ýWýO|ø þ úéø/ûrhýýWTöC÷|÷küTøNû ý þ ¶ýúéþ1küTù¾úùý ø |?ø ü|ý üTwøû¸ú üTûNößûýþ
øüúöß÷|øSýrþ¶ûzößû üTý 38ø¸÷kûTüTùOú ûPö /úö ûPöNõ ý küTû ør÷|ýrøNù¾þ û ¶úé|þCöúüTý |ý +ö ÷(ýOþ øSþCû&ý öýù¾û |kþ¶öøú ]üTý ýrüTú ö÷|øNþßû üTTú ö÷k÷kûPøSþ þ¶ûPéû öÀý ý ø ý þßýWù ý |ù¾ÿ /ýú ø/-üTþßûý
ÿùOû ø /÷@ú /ûþ¶ý z|üüTúýü÷|øzøNý ößûPßöÀþ¶ýüýößú øPù¾úWû ÿ YüTý Pø¸K þ¶ø M ßúû&üúJýößýaüTýù¾û ùO|ø öú üTý-úþ¶û/ø#üTöký û ÿ ûûPöxø#÷þ¶þßûý N/ýúWûWÿ YüTúéüTû;öfý (üüý úø øNNöCþ ø üTcøú ö ø üT|ý ùOú|øPøNöxþßýþ |øNöiù GüTÿ üTýaýWý-øNþßöÀþ¶ûNýWöþ
üý ÷|øNþ¶ø ßûTüTûLý FùOûNþ¶þßý éû Nþ ø cø +üý ößúFößý¸ùOû |ößú üTýOþ øcö|û ÿ éû øLþßý NúWû ÿ üTý Q÷ú ù¾û þ¶ý-ù ý kù¾ú øNöaüý¸üTú ö÷køSþ¶û
6K
¯> 66 b » "
§ »
I
` · K B ¶F>
\
O
³´ B´
j
l
j
Z
cFl
6 > A³K ¯ ½ § O ¹
F¹ µ
; )
µ>
b¼ ½K
j
a Ã
l¸
¯ »
> 6
&
§ K
{ & ¹ ³K
j
l
j
\ » I
b »
· l
¸
6K
¶
y
&
§ "
b » I j
l
"
B > O
· jbSº][N]F[fQRWêl¸
@
>
³
>
B b
][[
> O
E
¹ >
´
º y
j
Z§c ¿ Ul
U [[[
c¸
r
º >
>y
§ ¹
³
§ K >@ p· &
j
M a>l
&
O 2 ¯K &
¯
§ »
> · w » f "³K b ¹ 6
b y
> j§^[fQ\ĺl
³K §¼
º ºK
Â
³K
½
§ »
½ ¯³K ¹
³K
¹ ][>[
à a¸
T ]
> > _ § » ~²
b
4G ½³K n ¹A
§ »
³ > K
ea>PfQÄ
"
y³
)L J LÐ
> b
D³K 2¹
B º G· µ´ b b
I´ j
eaPfQ\Ä
U [[>[
c
c
6
J
>
½ ;K
U ][ l
¹=
³K
¯
¯
§ »
^]
ea>PfQ\Ä
¹
B
> 6
>
2;Å
] a
M
´
Z ´
Z ZÆÇ][>[)R
¸ c;ÆÇ]U¯¾aUR
G
G
©mª;:5ªÆ¥ ¡+Ç¡=±\< ¨Á¯®r§®z¬ ¢f¡q ¤N¨Í¯®}« £¦ ¬x­X¦a®r¯ ¡
TäF
700
distancia euclídea al correlograma de referencia
100
600
50
0
−50
500
0
50
400
300
200
100
0
0
0.5
1
1.5
desviación estándar (mV)
2
2.5
é&ýòû 4GNWtJþüTøEQú ücøVWø 03?üýcoýcæ?þß öý ý/ýOú þ¶|úøý ù¾|Nþ¶þùOý øú/ýø cøNøNöþßø þ¶üTú ý|ø+ø+kø øSø /÷þ¶þ¶øøPöaú üTüT|ý-ý¸þßüUýWýOù üTþ¶|þßý ø ûPiþ þ ýú üTý ûkößøú ý-ù¾øNÿ öû ÷ ß|ßþ ýúø ù¾Tûú-û ÿù5üTû ÿ ý /û/û wûPøNøößþWú ÿ aø /ýøSÿ -÷ øLüT¶úüTú ù-ø+ú ø3ö üTýø ý |ù¾ùOø+ú ú¶øLøNüTüýú ö |ûNßþù þ¶øKú ÿ üTkýWüTù¾øYý úWû ÿ ø UüTø ýcù¾þ ûP|þßúþ¶üTý ûø
Qý ßþ¶ýýWù |øPù¾úWû ÿ ?ù¾û ÷(ýOú þ kcøù¾þ¶ý /ýýWù¾ý#ßù¾û;û ö|öüT¶ý ø ¶ýrø wø ûNþfýWýWÿ øNö (ößøý ÿ |ü|øSþþ üTø ý ÷|øSþ øYý [øNý ö/÷üý-ûPö ;ö#ú øNüTùOý/úéû ýWö ý-¶ûPö ö8ÿù¾÷ûPúþßù-þ¶øNý ö û Pþ¶ø w/øøSþ8Pÿ øö
éüTû;úöö ßwþ¶øú ûN|þ¶ù¾ý-úWö1û ÿ üTý ø éû;ý-øöÀ¶÷|ûNøNþ¶þkúø ø ÿ &ýûPßþ þ¶cøûPö1ößû ý FüTûPú öÀø NýWþö (ø øcøÿ |cü|øSüTþ ý |iøSý-ÿ øNþ¶þ ößøNýöøSüT÷|ý¸øNþ ýOþ¶øNþßüTûPû þaüTý&ù¾@û ù¾ûûNþ ý LPþßþ ûYú üTþ¶ýOûr÷|ößþßúýWaöøSý ÿ ÷ ¶úø ùOû øYýNýaû ößkú ù¾úWûý ÿ |üTøý
é÷û;þßöfû /ý÷|þß-û üT&ýúûPWö üTúûPüTö ý KøPÿ öý-üø&úö ù¾¶ý ø |¶ù¾þ¶úø øNöý |ùøNKöÿ üTüTýWýWøNö ö@úø øNQù¾ù¾úû ûN|þ¶þ¶ý-ý öfûý-Nö kþ ø øÿ kcøü/øSþ üTý&kþßøSý þ¶þ¶ýOøPþ¶öý |PùOýOúþ ø ßú ùOý ø Qý-üTö ú@ø Nø¸þ ø ø cø(YûPüTö ý øP|üTøNûPþßöCþ øNüTöý ø ø GFÿ þ¶ýWýOøz÷þ¶üTý ý
&ýöøý Wþ¶üTý øúNû/úWû ørÿ ü/ý ý üTPýû |÷ù¾ù¾ú úWù¾ûNû ÿû þ¶þ¶/ûý /ýû N-û;þ üTøöú úcøø øScPÿ ÷ ö1üTß÷úýWù¾þ¶ö ûû@@ùOú øNý-ù¾üTúWý û ÿ cßý-ýWöCö (üTø ÿ ý#|ü|ößú øSþ ý üT|øNý ù¾ù¾úûPû ørþß|þ¶üTýý-úöCûö ¶üTPø þ¶ý kø ù¾cøú ør&úý üTkýöù &ûþ¶Kýÿ ücýOý-þ¶øùOý úéþ¶kùý ù¾ú øúúßý ûöß|ýü/ûùOûhø ÿ ù û;ú öùOúø ø/ý/ýøNÿ ÷ -ßüTú ßù¾ú ýøû¸ý ý ¶3ýù¾ùý ú ¶TøPý÷üTþ¶¶ûNû ø þ
ÿ|ù¾ørû ößúú/ûüT÷(û &ý-ößkößûLößý#øPöøüTú û#ùOøNÿø ý ÷ cß-ú ýù¾øzkû ÷|ù]øSø ÿ þù ø ûrkø&üTý ü(Jý-ù¾ù¾ö ûN;û þ¶ú þ¶øNý ùOú-û û ÿ Nþ ø 8cøÿ ÷|üTúúù-öß÷|üTøzøNýüTþßþ¶ýû;ý öýOý þ¶ý kù¾ú ø RI ÷køS|ýþöTøýOÿ ý-þ wöxNø ýWý éöûPý#þßwýWøù5öÀûÿ ûN/ûüTþCú Yö ýW¶ö úý (ø ÿßw|û;ø üöÀøNûNø þxþküý-üöýý¸køýWÿ üT|öúýüö øS÷|ø þ øN|þkùOø ÿørú&ýøYüTý ú ß|ö þ¶ù ûø G|ÿ üTùOýWúøøý
ýù¾|ú øNù öCGÿ ýüTkýWùø¸Kÿ ø ü]ý-ù¾øNûNöCþ¶÷kþ¶ýøSþ û ø¸Nþù-ø øNcøüø rwüø ý#ûNþßþý üTýOýrþ¶ý ü|ý-ùOö úø&;ú øøNùOú-/ýû ÿ 3ýWö ø (ø ÿ |5ü|ø&øSþþø ý-¶öaúéû/üTüTý ýrùOø ýWößúø&û/þ üTø ýßúûcéû;öCüTýr÷þ¶ùOû ø /ý-üTúû/úûPý-öCöüTüý ý øNö ù |ø üTkú üTö ûcø öý
ßüTúúý öß÷|ýcøNþßý û Uù ý øsÿ ú ùOø /ý ¶ý ø+þ¶ý Pú-û ÿ üTý À÷ú ù¾ûÿ /ý÷|OøNþ¶þ¶û3ø3üý iý¸ù5üTø ÿú öù ÷køSþ¶ûûPöüTý ý øüTúö÷|¶øNø þ¶|ø ù¾úßø9ûTüTý ûY|ù ý KFÿ üTüTýWú ø ø Pþ¶ø þ¶cøý-ùcüTý ký ù¾|ú øNøNö#þßþ üTøNýö
G
G
üTý#ýOþ¶þßûPþ
³K
¯ ³6 b » "
§ »
I
K @
0
©
> > O
B´ y´
j
l
j
Z
c l
\
@ pd
&
O
"´
y
B
b K &
c>¸
d > b D § &
> 4 »
» cIj
M ]a>l
MN&fQ\Ä"¸
h2c
¹ ½>
b¼ §
[
MfQÄ
[N&[UVQ\Ä j
a T
l¸
;
"
§ b
¹ " &
O ³
> j
M al
b K G & 6K
; > " > ¸
>
»
> B
b
b K
) & ¹ ³K 4
G » j
l
j
>
6
b »
· GK
¶
l
¸
> º ½
b
§ ;
b » j
l
· µ
jbSº][N
]F[fQRWêl¸
6
y &
G O
]F[[
>
O @
¹ > Á´ ¯K d
{ § »
j
U [[>[
Zbcº¿ Ãl
c
»
¶
½
&
>I »
¹
r § 6
[N0UVQ\Ä
º
· ¯ § b F¹
§ ¸
»
· > fÂ
³K
º
º
§ O
]F[[
»
" &
> § ¹
³K
¹ a MO¸
a U
> "
> B
b » BÅ 2_´
Á´
B
³K
Z ´
Z ZÆ ÃUR
¸ c½Æ­]>]FUçMM>UR
c
U [[>[
> ·
`
TämÞ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
400
distancia euclídea al correlograma de referencia
100
350
50
0
−50
0
50
300
250
200
150
100
0.29
1.47
2.82
4.39
6.23
ratio EPSP/ruido
8.39
11.19
14.26
øòû 4GP/ýtJþ¶øEF-ücøV8ú0ü9ø 5üoýYíFþß ýcý ößýOý&þ¶úøý ú |N|þùOùOøúþßø cøý &ýNøSöþ¶þ¶ü¶ú ý |ø ø+|ø9øNø þßþ þ ø øNøßöaúúû üTý¸ý-úþßýOþ¶þ ûNüþ ø |ý ý S|2øý-ö ßù¾þûø T ý Tù5úWû ûÿ ÿ /û /ûwøSþ8û;ÿ ø öú ø3øSÿ ÷ üTß÷kú úö øSùOþø+ø ø3|ý ùOùOúû ùOøL|ú ýößøNý|üTù ûPGÿþ¶úéüTøþ ýWøYøNüöø ý üTú \ýOþ¶ù¾ø ý ûPþßßþ¶ýWý ö
þ ø ø¶úéû;öa|ößý ù¾û /ûTú üT|ú ùO(þßùOý øY/ýý ?ß÷(û;ý-öaößûLüTý ößú aøSÿ ÷ ¶øúùOû /úö /û ø ßúûý /÷øS(þ û NûYøüTý &ýFWüTüTú ø ú ø Pþ¶ø cøüTcý üT?ý þ |ú øNüTþßû þ øNöaûPþüTcøýzý-Fþßþ¶üTûNý þý ßþ¶ù ý é;û;øYö üTwýWø ö ûN@þ¶ú øNý-ù¾öúWûüTÿ ý
8ùOþßÿ ÷ý ú/ýù-ø ßû;öFüý ößý cø ßúýýWöQý#ú ùONû ýW|ù ö ¶øNø üø¶ý ù¾û ößý 8&øcþ |üý-úüTù¾ûþ¶ý /ýûPþ cøQø @|üüýû//ýüý-Wö¶üTüTúøý
køNö ¶zø üTýWö @ú øNù¾úWû(ÿ ù¾û W9ÿ ÷üTú ùOý ø
Q ûPö wø ûNþ¶ý-öxüTý éû;öi÷køSþ(ø ÿ /ý ¶þßû;öfüTý
i
ý
ÿ
P
ø
ö
ý
þ
ø
|
÷
N
ø
¶
þ
¸
ø
ý
[
ý
/÷
é
;
û
C
ö
T
ü
ý
W
ý
ö
¶
P
û
C
ö
¾
ù
P
û
ß
þ
¶
þ
ý
û
P
¶
þ
ø
cø
N
ö
/ûþ¶ýOT÷|üTþßýWý öéýû/üTøý ø/ý |ý þßPû û ||ø¸ù¾ößúWûû ÿ 9üTéû;ý öxý-ûPö öCkø÷ÿ kþ¶ûü/ýøSþ -üfúéû;ýWÿ öøNößýKÿ |øN÷|ý-ø/øSþ ù¾¶ý øPüT¶û þ¶ø ý øP]öüTüTú øý-Pö @þ¶øúøPcøù¾úzû üTýWý öf|ýWøNö þß(þø ÿ øN|öfü|üTøSýþ ýOkþ¶þßøSûPþ¶þxþ¶øPüTö ý#PùOýOû þ ßûNú ùOþ ø éýWý öPTþßûø
cøø ÿ ú(ù-üTøûPý /ýö |øNøNüTþ߶þû;ý#øNö1öFý üTø ý ù ø @ý Kþßÿý-¶÷ý-ø þßøýWø/öüTý ýþßý ÷¶Nø þ¶úWû ûÿ /ýø+ýWüTPüTý û úé]û;|ö÷|ù¾úúWùOüTû ûÿ ý &ûøN/ýö1-üûPüTúößöú úø¶ø zøS|ÿ ÷ ù¾üT¶ú ýWøNúùOö öQ@û ý ú øN|ù¾ù úWKû ÿÿ üT¸ý-ý-øPö öFkøø ÿ |ù¾üûPøSþßþ þ¶ý üTý û ý?Pù¾þ¶øûPø þß/øüTþ¶ú ý aö û üTø Pý|þ¶ùOøþßúý cøøýOrý þ¶ký üTù|ý#KùOÿ üúþ¶ø ýý-ø ýOý þ¶ßkýý üTk|úù¾úéø ý ú Nø&|þ üTößø ûý
/ûwù-øø éùûPþCûPößüø ú ýa&ýøSüÿ ÷WúöüT¶¶úú ùOø ø û9|ù¾ßý úý/øzù¾ý ý úi¶|øN÷ù üþßKÿûûNüT/ýþ ý-ø -ù¾üTÿû úû9<|ü÷(ú /ûý ý-ößcûöößýú ù¾ù¾øNûPû ÿ ÷þß|þ¶ßößý úú ù¾û û Pýþ¶ø ÷k/øøSþ Pø ö÷þ¶ûTwQù¾ø ýWù¾üTû ûNýþøSß÷|ýWöþßû üTTýcú /øüTöú úPöß÷|üTøSûzþ¶üTøNûPýùOö#úéûþý ø¶ý-úéöû/üTõ ý I |öTw/úýOÿ þ þ Nö ú ýW/ûüTöûzý/üù]ù¾ýû úÿ þ &ûù ú ßý û
üù-øýcýzþßý ý-úéö ýOûcþ¶ø/ýüT|ý þ¶ùOø úûPßø úöûY÷|ù¾õ ûþßû &ýûNWþ üT/ýwúþ ûPöCúüTø+üTû&ý þ øý-øN¶ö úékö û+ø ÿ |öüýYøSø þaüéúýý ö /÷¶ø+ø |üTù¾ý-ýcú øNøNý-ü|öCößø/ý ý |ý wù ø Kÿ ûNüTøNþ ý-öøPößöfúø+÷küTøSúþ ö øNø¸¶ù¾ø ù-úkûøNù¾|üú ý-ø ø+öCwý ÷|ø |øNù ûNþ¶Gþø ÿ üTüTýWø ý#ø3Nþ ößýø ýc¶úéýOú û/kþ øNù¾õ þ¶ùOýú-û /ýÿ 9üTw¶ý þ ø?|úùOüTûN5û&þ¶ø9þßý-ý öéþ û ø üNßý þúûø cøüTý
ýWüößý ø9øþ ø üT¶úéú ûö ¶øüTkýcù¾ùOú ø+ø ý |ùúû+Gÿ üTý-ýWörø üý ÿ &ýù-|þßûø |üüýYû+üTößúý öß÷|ßøNúý þß|û;ýcöýý <ù ý ÷|øS¶øþ ø ÿ ßûTú ùOüTø û&ýý füTßýú ø Pø3þ¶ø þ¶/øý P9ú-û ÿ üTý üT|ý øNÀþß÷þ øNú ù¾öûüT÷|ýLøNýOþ¶þ¶ø3þßûPý þ fù]ø ÿ ù éû
|þßýWù ý |ù¾ú øNöüýüúöß÷|øSþ¶û
G
G
6K
¯> 66 b » "
§ »
I
K \ ¶
> © p
´ Á´
j
l
j
Z
cl
@
> · ;3A-(Þ# Ü ?E?>!- ) Ý A Ü (,?%Á*(Þ<6d 3ª#8(,/0% ¸
½
p
O y
B d
³K
½ e Z§c
¹ > ¹ ~ & B ¹ª "
d B & ½´
b
]
]FU
[ ]>¸
c
c j
»
º b >
> b
¹ >
h c¯¿ [N0UVQÄ
l
MONdT>MVQ\Ä
MON0MVQÄ
´
= G & & 4
b
³ »
[N&[>[^^)QÄ6¸ Z
Z¿ MONdTfQÄ
;
§¼ §
4 h Ze¿ [NdUVQ\Ä j
a ]F[
l¸
>
@
b &
K
4 j
M al¸
> ³ º
> @
&
§ K
_ & ¹
j »
l
j
³K V
» b »
·
l
¸
K
¶
¯ µ
b
b § » ; j
l
"
B > O
· jbSº][N]F[fQRWêl¸
@
>
³
>
B b
][[
> O
O E
¹ >
©´ ¯K d
>
j
Zbc ¿ Ãl
U [[[
c
b » ³ » > >
³y n
)L J L4é &
¹
]>Nb^OÃ
)L J L4é &
b \
6
" " > > · >O· d "
b¼
B F¹D
b »
IÂ
¸
6K
>
º
b »
G )L J L4é &
¹
][>[
] Ã=¸
³K
¹ " B
> M
B
b » ©´
@
BK
U [[>[
c
Å V´
Z ´
Z ¸ c Æ ]>][)R
Z Æ
ÃUR
y
·
`
©mª;:5ªÆ¥ ¡+Ç¡=±\< ¨Á¯®r§®z¬ ¢f¡q ¤N¨Í¯®}« £¦ ¬x­X¦a®r¯ ¡
TäJH
500
100
450
distancia euclídea al correlograma de referencia
50
400
0
−50
0
4
4.5
50
350
300
250
200
150
100
50
0
0.5
1
1.5
2
2.5
3
3.5
desviación estándar (ms)
5
5.5
é&ýòû 4GNWtJþüTøEQú ücøVWø 0c?üTýroéýFþ¶ö ýýý-ú |þßúýùOø |þßNý ù¾þ &ýúø ø cøNøN¶öþßøþ¶üTúý |ýøcU køøSþ¶þ¶øcøPöaüTú ý üT¶ý¸þ¶úéøýOý-þ¶|þ¶þßü|ö ûP/úø þ öý úWû ÿ ý /öß|ú øYý-øNÿ ùOö÷ ûßßþú ø ùOý øTú-ù5û ÿ ûø#ÿ /ûüT&ûý-ö w@øNúûPøPþWößù¾ÿ úø úWû ÿ øS&ÿ øL÷ ý-¶üTöúù-úkö ø/ø ÿ |ø ý ü|øSùOù¾þúú øL¶øPý üTüT|ûNýù þ Kø ÿ üTkýWø#üøYý üTø úö ßþ¶úø ù¾|ûPù¾þßúWþ¶û ÿ ý ø
ú |ûNùOþ þßcøý /ýüTßý+û;öaþßý üTßýþ øNößûPö&öú øNÿ ÷ø ßú øù¾û;Pö ý U ø /ý-üTù-øú ø úø\üý ý Q)þßý ý ßþ øNüTößúûYø Nöþú ø cøøNÿ ÷ qßú ù¾üû9ý öký øSþ¶þ¶øPö¸ý NüTýrý+ý ý-þ߶þ¶þßûNý þ/ý ¶þßý
xJù¾ù¾ûû
úýO|þ¶ùOþßûPþßýþC/ýüýrù¾ßûû;öFûNüþ ý ý Nþ¶û/þßý-÷fþßýWýWÿ öøNý ößý ¶ø ø/þ¶ýø Nû |ùOú-÷|û ÿ øS3Qþ øüTýý [ý ûP/÷öC÷þ¶ûPû ö1/ýüTWýxüTý-úéöû;ßö û;öQKù¾ÿ ûNý-þ¶ø/þ¶ý ù¾û ý Nþßøþ øcøPö øPý öüTüTúý-ø ö N@þ úø øPcøù¾úaû üýWý öx|ý-øNö þßkþø ÿ øNköFüüTøSýþ
üTüT|ýYúö øN¶þ¶þßø ýþ |øNýOù¾ö þ¶ú ýø+Nký-ý ù¾þ k¶ú ø úù ù-Kø ÿ üý ý-xý-ö ø üTJúßø9ø ý Nø þ úø ý cø|küTû;+û"ö üTýÿøNü|ú ûPùOøNöø þß/ýþ üTøNý ö#¶øø ýYKýÿ |iý-þßøLý-ù ÷üþßý ý¸ýWö÷ý ø þ¶û ¶øø/ýWþ¶ø+üTý Púéýû;ú-Nû öÿ û<üTküTýù¾ý úWfû ÿ øN÷öúùOüT/ýû úö -/û¶üø ú|ø ù¾û;ú UøNööú üTýýWøSÿ |ö ÷ @ù ßúKú øNÿù¾üTù¾û ý-úWûøPÿ Uöø ýWQö (ùOø ÿûN|þ¶üþßýøNéþ û Nþüø ý cøý ø
ù¾ù¾ûNúû þ¶þ¶ýýWöFû üNýþ ø cø/úüTýaö /ûþ¶ý ý-ù¾þßúýþ¶|ù ù¾úú ø#¶û öß/ûýaùOø ûPù ößú aø øSÿ &ý÷ ¶WúüTùOûaú ø ý ßùOýú ý øN|üT÷|ûPþßþ û &ýù¾Wû üT&úûz÷(ý-üTößý ûößú aøSÿ ùO÷ ûN¶þ¶úùOþßýû éû Nþ ø cøNöF÷Nþ¶ù¾ûTû ù¾ý-üý ßýWöÀüüTúößý÷|ößøSú þ¶ûPö?ý ø
÷|øNù¾øSû þ(Y¶ø ÿ øP/ýùOüTû û ¶Vþßû;I öQ||øüTöTý ýO&ýÿ þ N/ûWýWüTTöú ýø¸üTý ù5üTéû ûrÿý/ûüTþ¶ý ý ßþ|ø¸øNý ößüû¸þ¶úö û ö߶|ú ø ø|øSÿ ù¾öß÷ úû ¶øzúùOý û¸|ûPùöQüTKý ý-ÿ üTö ký-øø¸ÿ |ø üJøNù¾þ ûPþßi|þ¶ýý-ø&ÿ øPû üTöPýCýWþ¶ö ößø @ý-/øú ùOøNùO#ù¾ú-úWû ÿüû ÿ Lýþ¶ý-ý ö ký-ø ÿNþßký ÷|ü|øSøSù¾þ þCú ø ø üT¶ý /û cøþ ú üTwûrø éößûPú þßaéýWû;øSÿö ö ÷ ÿ8¶úø ùOéû ûPú þß/ûýWöi;ú öiüTûP÷|ý þ øN/ýûPþ¶ø ö
öüTû |ýYøùOø üTûPöýWö 8@úø úûéøNûPùOüTþßú-ýWýû ÿ ö <éû;ý-ößö ú ké÷ú ø -ÿþßkøPû üüT/ýøSûP-þzöfüTýüúûPý ö#øPüTø öxýßý öß|ú øNù¾ö ú øNözøNùOøSúé÷û üTþ¶úû öý-Töiúø cø÷||øSùONþúü|øPø ø9öø üý |ý Pù ý Gÿ üTý-ýWþ¶øNøPöù¾úWû÷|Qÿ YøSù¾þ û üTø9ý mùOøNù¾|ü|ûNøøþ¶þ¶ýw/ýø û WéNûPüTþþúøøücøüTýYý üTüTý-øýö ¶@þ¶ý úý |øPùOù¾ýOúúWþ¶øû ýÿ \küù¾ý-ý ú øö kø ÿ 5kørüøSþ þ#ø ¶üTúéûýý
þßüTý ý ß1þ øN÷ößú ù¾ûzû+öú ÷|øNøNÿ þ¶÷ ø3ßú ý ù¾Àû¸ù5ý-ø ÿöCù üTý û+üTý ý-ö¶ø9ørüTþ ú ø ö ßúø û¸|ùOüúýø9ù-ý ø |ù K|ÿ úéüTû¸ý-øý-öxüTý ÿ &ý-þßù û|ø üT|ýcüTüTû&ú ößö÷|ý øSßþ¶úûPý öýý ý 9ù ÷|ý øS¶þ øø ßÿ ûTüTú ùOû+ø /ýý ÀüT¶ú ø ý Pþ¶ørø cøþ¶ý LPú-ûüTÿ ý
|øSþ¶þ¶øPöCüTýýOþ¶þßûPþ
þ¶ý-ù |ý |ùOúøPöüTýrüTú ö÷|øNþßû
³K
¯ ³6 b » "
§ »
I
K B ¶F
Á
>\ > O
³´ ´
j
l
j
Z
cl
º
(Þ#8#9! b
O
&
b b K ¸
h
d O
6K
yK
¹ >
j (Þ#$#H! l
[
UVQ\R
I I ¶¹A I
O
6³ >
¹ >
[N]DQR>¸
]N0UVQR
N0UVQR
>
b¼ b
_K
[N]DQ\Rµj
a ]]
l¸
6 > º
@
&
b j »
l
K
¯ b ¹
6K ;
" @ » "
b »
> j
l
· IK
¶
> \
b
§ I
¸
j
l
b » y > >
\ jbSº][NB][fQ\RWÞl¸
· ½
>
> ³
]F[[
46 b
p ¯ > O
p
O
¹ > j
Z§c ¿ Ul
U [>[[
´ @ 6
O
I
b
b 4 c
MVQ\R
[NdUfQR>¸
"
b > ¹
µ &
O µ p· &
j
M a>l
¯K d
³
b »
· º ³ » b
> b n ¹ > \
I ¹w
[N0UVQ\R
MVQ\R
> _ ) ¶
@
³
>
½ ³ · VÂ
³K
"
>
B
§ »
@ &
b ]F[[
O
¹
³K
¹ ¯ > ;
>
] UO¸
M
B
§ » ¾´
c
K
VÅ 2{´
Z ´
Z U [[>[
¸ c ÆÇ]FU[)R
Z ÆÇ][>[)R
> ·
`
G
G
Tä(
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
duración del EPSP a amplitud media (ms)
300
2.1
5.4
8.3
11.2
14.2
17
19.9
2.5
3
ancho el correlograma a amplitud media (ms)
20
10
250
0
−50
0
50
200
150
100
50
0
0
0.5
1
1.5
2
desviación estándar del jitter (ms)
¶þøòþ¶4Gý&ýtJû WEFNüTV8þ ú 0øücøø ?ro6@üFýzý# ößþßýrý ú ýOú|þ¶ø ù¾ý Pþ¶|þ¶ý ùOø /ýúcøø Nö#øNø/þßüTþ¶ýýú kW|ø¸U øNø þßþ øNø¸ö#ú üTüý ýc¶ýOúþ¶ýOþ¶ø þþß|üûPö øþ &ú ý öß|ú-ý û ÿ +|ößø/ú ýWù¾öøSÿ ¶û ÷ þ¶¶ø ýúUù-Tø úWù5û ÿ û ÿ /û&ûøYü wøSûPþ¶þ8ößøPÿ ú ø ù¾úWøSûÿ ÿ ø÷ ¶üTúüTù-ú ý öøzøý ûP|öaù¾ùOõúú¶ø+øNüý |ûNùþ øKÿ üTøYý-üTø+üTý ýWø ö @ú øøNù¾úWùOû ÿû
ýWüö ýa(øýOÿ |þ¶þ¶ü|ûNøSþÀþ ý ¶þßý üTý kø¸üTú ö ;ßùOþ¶û ú Ykú ù¾|úWù¾û ÿ þ¶ý /ýûNþ cø¶ûPöfmüTüTý ýþßý ßþ øNößûPöfø öú ø øSÿ N÷ ý ßú ù¾ûPøö /ýU WüTúø ù-ø üT|ý Júø¸þ¶ý ý ß9þ øNý öß]ûrüTößú ú ø PøNÿ þ¶÷ ø ßcøú ù¾zû&üTöýý |øNþßý þ NøNýö
ýüý ßaþ¶õý ößý /ûTüTú kùOø m/ýù¾û WqüTúúø |ù¾ßþ¶ýý /ýý aú |¶ûPùOþßöý üT/ýý ßû<üTý ÷|÷(øSûNþ(þXø ÿ /ýÿ ßúß/ûþ¶û ø ý-ú¾ù ýQ ÿ|øNùOößú-ú û ÿ kø ÿ ý-øý &ýßþ¶ý ßéý û;ö ø98ø ü éûPþßþ ýWøNöcù¾úWûüTÿ ý
5ù¾ù¾û û <ú qkù¾þ þ¶ý ú /ýüTû ßûPû;þö#cøüTý
fýWÿ øNößý þ ø ÷|øNþ¶ø+ý [ý /÷ ûP&úörüTý ýL¶ý-þ¶ö øPßöûPözù¾ýûNþ¶þ¶ý û þ¶Ný-þù¾øú (cøý Pö
ý
ö
ú
P
ý
ù
N
ø
ü
L
ø
þ ø\ú ýüTPû û |ù¾úWû Dÿ XZüTYý ûPQ ö/÷þ¶û /ý-üúéû;ö Kÿ ýWøUù¾ý ¶Jþ¶øXAYý ÀüTQ úøNø öcPþ¶üø ý-/øö ;3ú øNüTùOýúéû |ý-øSö&þ¶þ ýWøNöö(øüTÿ |ý/üýOøNþ¶þ þßûPþ|øNüTþßýYþ øNùOöû PûNýOþ þ ßú ý ùOPø þßû9ý-ö þ¶iýOø<÷þ¶ø ý-ößý (ûP¶ø ö
üÿøNýüúûP|ù-øörøN/ýþßüTþ ýøNö¶ø øý#Ký ÿ Qý-þßù ø+ý-÷ýüTþ¶ý3ý-¶ößø ÷ý þ¶ûø/¶/ýø þßý-ø3NüTúWúûýûPÿ +Pö û üTüT|ý ýù¾]úW÷|û ÿ øNúùOözû üT/ý&ûúö -¶üTøú |øûPù¾ößúú øNörøSüTÿ ÷ ý-ý ¶ö |ú@ùùOúGû øPÿ üTù¾úWýWû ÿøNqörýWø ö i(øù¾ÿ |ûPþßü|þ¶øSý þ û PüTþ¶ýýø ?/øø3ù¾9ûPüTþßüTþ¶ú öýýY¶ûø þ¶kPý þ¶ù¾ý-ø ú þßøLcøý |ý r|ù¾üTú ù ø ý#Kÿ üTþ¶ý ý-ý føýOüTþ¶ßú ýý ø k|Pù¾úéþ¶ý ú ø ø&|/øüTößûý
/ûù-üø ýrù öú ûPößø ú a&ýøSøNÿ ÷ùOWú-üT¶û ÿúú ùOø ûrßý3ý/ùOù¾ý ûú i¶øP÷üTþßûNû |þ /ýø -ùO&ýüTû úWLû9üT÷(ú üøcý-ý ößüTû¸ý#ößþßú ýßù¾øSÿþ ûP÷ øNþ߶ößþ¶úûcùOý ûöû ú Pþ¶øSÿø ÷ /øßú Pù¾öûc÷üTþ¶Tý ûTù¾ù¾û ýW3üTøSý ÷ßþ¶ýWû |öøcüTýcüý-öö ú ;ú øNüTùOøNúú-öû ÿùO÷k3úéûøSýWþ¶ûPö ý-(öÀöø ÿ ý |üTü|ý øSþüTýý/ú ö P/ûK ù¾M úþ ÷kù øNößú |ßûPûø ö
ýWüüö ú(ö þ¶¶ø ÿ øPø |ù¾|ü|úWù¾û øSÿ ú \þø/üTý i|ýcý-ÿù øPõ Köÿ üTý¸ýWöø/dýWùOø ù¾üT5úWý ûùOÿ ûNþ¶þßý éû N(þ ÷kø øSýcø1þ øzþ¶ý-üTö ýz\ßû+þßþ ý |üTúýOý üTþ¶û9éý û;|ööùOú úwø øøNÿ éß÷ ûPû ßþßcøú ýWù¾öû+üT8ù¾ý ûø éûPûPþßöýW|ö ÷|ø9øNÿþküTø ÿú|&ýö ú¶/ûþßú ßPþ¶ö|ûPöùO÷|ú-øSûüTÿ þ ý ø /ûûP|þTøccøüTýüTéýWû[ö @üTI ú ýøN|ù¾öTúWûýOýÿÿ þ+NþßýWýWû öö|(ýrøLø ÿ ù5|ößû ÿüû /ûøNþüTûPøýö
ø ¶ý¸ý |öùOû úøPöiûPøNö ÷þß8û ø TéûPú cøþßýWNö üø#¶úüTúý WøNüTû;öý ;ù¾øNû öaöú |ø /ýøNùOWúéüTû úø¸ý-öüTý ÷|øSø þ ¶ø ý |ø ùOúPø¸ý üTýý-þ¶øPù¾úWû ÿ +üTý |Føzù¾ûPü þßþ¶ýþ¶øPû ù¾PúWû þ¶ÿ Yø /øüT¸ýüTõ ýrþ¶ý ý-üTþßý ý |ù¾ú ø 5ø
þüø ýc¶úéþßû/ý ßüTþ ý#øNößùOû9ø ößú aúøSÿû/÷ ¶üTúý ùOû9éû;ýWöxör÷üTþßýû /ý-üTúûPýWöCößø9üTý þ ø øNßúö ûüTýYùOüø úö ¶ø|úû+ù¾ú ý-øNöröxýüký ù Kÿ üý-øNù öx|ø ÷|køNüTþ¶ø&ûùOöøPý ü¶ø úéý 8ø ýYéûPý þ<üTù ý#üTý ý-ö ¶@øúøPÿ ù¾úWûúÿ ù-Lø /ýýWö (ø ÿ ¶|ý ü|øSø þ
þ¶ý ý?PüTú-ûú ÿ ø Pþ¶üTø ý cø1c÷ú üTù¾û+ý |÷|øNøSþßþ þø3øNöý ÀüTù]ý¸ø ÿ ýOù þ¶þßûPû+þ üý ø+üTú ö ÿø &ý|ùO-úþßø9û ý ÿkøù K@ÿ úü/ûý-ø LüTýr÷kÿ /ýøNöß-ûPþßöû üTÿý&ø öTú ú &û+øPüTù¾úWýYû ÿ üTú öß÷|øSþ¶ûPöý þ¶ý-ù |÷|ý øS|þ ùOø úøPßöûTüTüTûý
DK M
üúöß÷|øSþ¶û
BK
½> B³ § \ »
§ »
` · K G ¶
> y > O
º´ "´
j
l
j
Z
cl
I
I
(Þ#$#9! º &
> O By ½
)L J L b
¸
§ b K y d ³K
K
j,hDl
j (Þ#8#9! l
>
¹ >
³ ³ ¶>¹> ½
O
¯³ [
afQ\R
[N]DQ\R>¸
j l
¹ > >
¹r 6K ³ ¹r O
]>NdUVQ\R
^N0UVQR
[N]DQ\R¸
_L J L
y
©
>
\ " XVc&cj
à ^=l
¹ > G
b¼ b
[NdUVQ\R
]]DQ\R
aNdUVQ\R\j
a ]FM
l¸
´
= E d I & ¹r ; ³´
K ³
Ì Z jêkbl
çj ¿ MN0ÃwQ\ÄN¯h ¿ [NdUfQĺl
Z
c
d
"K
µ Ì c jêkbl
çj ¿ MN&fQ\ÄNh ¿ [N0UVQ\Ľl¸
\
»
å
&
>
§ K
G & ¹
³K
j
l
j
\ » I
b »
· l
¸
6K
¶
y
&
§ "
b » I j
l
"
B > O
· jbSº][N]F[fQRWêl¸
@
>
³
>
B b
][[
> O
O 6
¹ nr I´
j
Z§c ¿ Ãl
] [[>[
cGj
U ]F[
³
> I
¹
&
> § @
l
MVQ\R
[NdUVQ\R
)L J L
b
" ¯ "
f
" >
¾
UON&^Q\R¸
§ ¹
I &
O
>Á
§ K >E & $ ¯K d
j
M a>l
b »
> · 6 > " » G
b
§ n
¹ ½
; " )L J L
¹
[N0UVQR
MfQR
UONb^)QR
>y e O ¶
\
³
>
G B · 4Â
³K
º
>
b »
6 &
§ ][>[
O
¹
³K
¹ G G
T T¸
^ Ã
>
G
§ »
©´
c
½K
B
³
D
¯Å U [[[¸
U >]F[
w´
Z ´
Z ¸ c Æ^>^¾a>a[)R
Z ÆÛÃUR
G
G
Täm
m© ª;:5ªÆ¥ ¡+Ç=¡ ±\< ¨Á¯®r§®z¬ ¢f¡q ¤N¨Í¯®}« £¦ ¬x­X¦a®r¯ ¡
RF,tJV80(:F%<,;:v,;=C46:m78,;VO2k0(=G%URF,+2(0k=G%JV-,;*;IFAQEQ,;RF,y5EF,q,P*W,7w0k'h0 :Q%'DB :Q4G'X%qRQ,tJV80k:Q%<:Q%AQVW%T2(%?y]EQ,
>;0('UjQ46%J**W46tJ:Q46{Q>@0k7W462J%(*<,;:,P=Y>;%JV-VW,;=6%JtJVW0('h0,P:m78VW,_a`\b~_xe@o %JV<7w0(:m7W%QI&*-,l.10(>P,:F,;>;,P*80(V-4G%
RF,P78,PVW'X4G:10kV;IQA10kV80>@0(R10A10(VQ0(B 'X,P78V-%QIQ,P=C7w0(')0 :Q%<RQ,tJVW0(:Q%'DB :Q4G'X%Uy]EQ,qAQVW%T2(%?>;0X>;0('UjQ46%J*c*W46tk
:F46{1>;0k784n2J%J*,P:,;=Q>P%JVWV-,;=G%(tJV80(')0Fo ,;jF4GRQ%0+y]EQ,kI5>P%J'X%*W,/254G%,P:X,P=10(A10kV-7w0kRQ%0(:m78,PVW4G%(V;IJ,P=QVWEQ46RQ%
*-4G:Y0kB AF7846>;%X4G:m78V-%?RQEF>;,\EF:10X2k0(V-4K0(jQ46=G46R10(R,;:l=G%J*L>;%JV-VW,P=G%JtJVW0(')0(*;I1,P*9AQV-,;>;46*W%Ai%5RQ,;VLRQ4G*O7846:QtJEQ46Vc=K0
2k0(V-4K0(>P4T%JB :,P:",P=z>P%JVWV-,;=6%JtJV80k'h0AQV-%?RFEQ>;46R10dAi%JV,;=rV-EQ4GRQ%vRQ,X=K0AQV-%?RFEQ>;46R10dAi%JVEQ:>@0('\jQ4G%d,;:
0k=Gt&EQB :~A10(VQ0(B 'X,P78V-%s>;%J:}EQ:10V-,;*-%J=GEQ>P4T%JB :RQ,N78,;V-')46:10(R10?o 0(V80,;=G=6%QIzA10(V80s>@0kR10A10kV10(B 'X,P7WVW%s*W,
.Q0(:=G0(:Qu@0kRQ%*-4G'UEF=K0(>P4G%J:Q,P*<RQ,dEQ:>P4GVW>PEQ467W%'X%J:Q%(*W4G:c0(B AF7846>;%,SMF>P46780(RQ%JVPI/A10(VO784G,P:QRQ%RQ,;=c2k0(=6%JV
,P*-710(B :QR10(V&RQ,9,P*W,+A10kV10(B 'X,P7WVW%Qo#p#*-,92k0(=G%JVr*-,92k0\4G:Q>PVW,P'),P:]780(:QRQ%\,;:RQ4nZ[,;V-,;:m78,P*/'h0ktJ:Q467WEQRQ,P*¸.10k*O
780>;%J:Q*-,;tJEF4GV<,;=¸7w0(')0 :Q%lRF,dt(V80(:Q%'DB :F4G'X%y]EQ,v*W,vV-,P1,W0s,P:~>@0('UjF4G%J*<*-4GtJ:Q4n{1>@0|78462(%J*\,P:},P=
>P%JVWV-,;=6%JtJV80k'h0FoL5,\>;%(:Q*W46RQ,;VW0hy]EQ,UEQ:>;0('UjQ46%),P:,;=aA10(VQ0(B 'X,P78V-%h46:]7WVW%5RQEQ>P,\>@0k'UjQ4G%(*3*-4GtJ:Q4n{1>@0
7W462(%J*3>PE10(:QRF%RQ,\EF:78%k7w0(=RQ,XTJX*W4G'\EQ=K0(>P4G%J:F,;*cA10(VW0),P*W,2k0(=6%JVYRQ,;=aA10(VQ0(B 'X,P78V-%QIÀ0(='X,;:Q%J*+(
RF,,;=G=G0(*¸0(VWV-%|W0(:>;%(VWVW,P=G%Jt(V80(')0(*z>;EFbJ0RF4G*-780(:Q>P4K0\,PEQ>;=¶DB RQ,;0U0(=x>P%JVWV-,;=6%JtJV80k'h0q')%J:F%J*W46:Y0(B AF7W4G>;%RQ,
V-,PZ[,PVW,;:F>;4K0U,P*/')0Tb(%JV&y]EQ,=G0'X,;RQ4G0RQ,9=K0(*¸RQ4G*O7w0(:Q>P4K0(*¸RQ,;jF4GR10(*/0(=fV-EQ4GRF%^[2#,;B 0(*W,+780(jQ=K0U?o (gz'0(B *
RF%J*c2J,;>P,;*3=K0URQ,P*-254K0(>P4T%JB :d,;*O7À0(B :FR10(VYRQ,,;*W0(*YRQ4G*O7w0(:Q>P4K0(*Po
p#*-780'h0k:Q,;VW0dRQ,h>@0(=6>;EQ=G0(V=K0vVW,;*-%J=GEF>;4T%(B :",;:",;=z4G:m78,PV-2k0(=G%dRQ,X2(0k=G%JV-,;*qRQ,h>;0(R10lA10kV10(B 'X,P7WVW%
,P*3EF:10XAFVW4G'X,;VW0U*W46')AQ=646{1>;0(>;4@%JB :y]EQ,Ai,;VW'X467W4GVQ0\B .10(>P,;VLEQ:10,;*-7W4G')0(>;4@%JB :tJV-%J*W,PV80<RQ,;=,P*WA10(>P4G%XRQ,
j9EFB *Wy]EQ,;RQ0Fo/ÛY,@0(=6'),P:m78,(I1RF,EQ:Q0Z[%JV-'h0<'0(B *cAQV-,;>;46*80FIÀAi%?RFV@DB 0U*-,;VL:Q,;>P,;*W0(VW46%h,;*O7w0(jF=G,;>P,;VLVW,P*W%J=6E?
>P4G%J:F,;*aRQ4G*O784G:m780(*A10(VW0LRQ46*-7W4G:m78%J**-EQj?46:m78,;VO2k0(=G%J*RF,;=]V80(:FtJ%3RF,r2k0(=6%JVW,P*RQ,¸>;0(R10YA10(VQ0(B '),N78V-%QIR10(RQ%
y]EQ,q:Q%X*W,.10>;%J'XAQV-%Jj10(RQ%=G0,SM?4G*-7W,;:Q>P4K0RQ,EQ:10>;%JV-VW,P=K0(>P4T%JB :v=G46:Q,@0k=x,;:m7WVW,q>@0(R10A10(VQ0(B 'X,P78V-%<b
=G0RQ4G*O7w0(:F>;4K0,PEQ>;=¶DB RQ,;0d0k=>;%JV-VW,P=G%JtJVW0(')0hRQ,VW,NZ[,;VW,P:Q>;4G0Fo µ %v%JjQ*O7w0(:m7W,(Ia,;:,;=#>@0kADB 7WEQ=G%vHFI*;DB *W,
,P:Q>;%(:]7WV1%B EQ:100(=n7w0\>P%JVWV-,;=G0(>;4@%JB :=G46:Q,@0k=f,P:]7WVW,>;0(R10<EQ:Q%RQ,,P*-78%(*cA10(V10kB '),N78VW%(*&b=G0U0(:Q>w.]EQVW0RF,;=
AF4G>;%'X%J:Q%(*W4G:c0(B AF7846>;%0k=1ÞJ RQ,c*WEX0('XAQ=64678EFRU'·0B MF46'h0?o %JV#%(7WVW%=K0kRQ%QIJ:]EQ,N2(0k'),P:]7W,c,;*rAQV-,;>;46*W%
V-,@0(=64Gu;0(V+78%5R10(*q=K0(*qAQV-EQ,;j10k*\,;:,;=z>;46VW>;EF4678%d'0(B **W4G'XAQ=6,XAi%J*-4GjQ=6,(I,;*RQ,;>P4GV;I,;=r'X%J:Q%J*-4G:Y0(B A?784G>P%
,SM?>;46780(RQ%JVPorp#*-78%X,;*YEQ:Q0*-,;tJEF:QR10*W4G'XAQ=646{1>;0(>;4@%JB :CI]R10(RQ%y]EQ,q,;:vVW,PRQ,;*L>;%(:dRF46Z[,;V-,;:m78,P*Y>;%J:F{QtJE?
VW0(>;46%J:Q,P*qb:9EQB 'X,;V-%RQ,X:Q,PEQVW%J:Q0(*;I=G0d46:F1EQ,P:Q>;4G0dRF,h>@0kR10A10kV10(B 'X,P7WVW%d:Q%l.10d*W46RQ%l,P*-78EFRQ4K0(RQ0Fo
µ EQ,P2k0('X,;:m7W,(I,P*-7w0*W4G'XAQ=646{1>;0(>;4@%JB :s*W,h.Q0(>;,)A10(V80d>;%J:F*W,;t(EQ4GVAf%J*O78,PVW4G%(VW'X,;:m78,XEQ:10l,P*-7W4G')0(>;4@%JB :
t(VW%J*-,;V80RQ,P=C7w0(')0 :Q%URQ,P=,;*-A10(>;46%)RF,qj9EFB *Wy]EQ,;RQ0Fo
p#:=G0780(jQ=K0?oéä*-,9'UEQ,P*-7WV80(:=G0(*rVW,P*W%J=6EQ>;46%J:Q,;*¸,;=6,;tJ46R10(*rA10(VW0>@0kR10EQ:F%\RQ,3=G%J*zA10(VQ0(B '),N78V-%J*
{Q*W4G%(=T%JB tJ46>;%qb)7W%JAf%(=T%JB tJ46>;%J*z*W,P=G,P>;>;46%J:10(RF%J*/A10(VW0U,;=fAQVW%5>;,P*W%RQ,j9EQB *-y5EF,;R10URQ,>P%J:Q,SMF46%J:10(RF%J*;o#³3*@DB
'X4G*-')%FIJ*W,Y4G:FRQ4G>;0+,;=1:9EQB 'X,;V-%RQ,c2(0k=G%JV-,;*#RQ,P=14G:m78,PV-2k0(=G%AQ0(V80=K0V-,;*W%(=GEQ>P4T%JB :<R10kR10Fo ,Pjf,/7W,;:Q,PVW*W,
,P:>;EQ,P:m7w0y]EQ,åaâG`SIfåaâèe3bl,P=f¹Sº¼»»¾½N¿)RQ,;=p *W%J:AQ0(V10(B 'X,P7WVW%J*Ly]EQ,U78%('h0(:d2k0(=G%JV-,;*34G:QRQ,PAf,P:?
RF4G,;:m7W,;*XA10(V80s>@0kR10:Q,PEQVW%(:10RF,=G0sV-,;RCo %JVX%(7WVW%=K0(RQ%FI¸,P=cAf,P*W%"*-4G:Y0kB AF7846>;%b~,;=YVW,N78VW0(*W%*W,
,P*-780(jQ=G,P>;,P:dAQ0(V80\>;0(R10U*-4G:10(AF*W4G*¸RQ,+=G0\VW,PRCo %JV¸7w0(:m78%FIF,;=f:+EQB 'X,;VW%\RQ,+:Q,PEQVW%J:Q0(*/RQ,=G0VW,PR^y]EQ,
7W%J')0<2k0(=6%JVW,P*Y,;:m78,PVW%J*L,;:m78V-,<ÞUbTmg/RQ,N78,PVW'X4G:10U7w0k'UjQ4N,PB :,P=:+EQB 'X,;VW%RQ,q>;%('UjQ4G:Q0(>;46%J:Q,;*cAQ0(V80
=6%J*2k0(=6%JVW,P*URQ,,P*-7W%J*<A10(VQ0(B '),N78V-%J*;op#=/Ai%JV->;,;:m780-,RQ,:Q,PEQVW%(:10(*<4G:F.Q4GjQ46RQ%JVW0(*:Q%*W,7W4G,;:F,,;:
}
)}
)}
ªq
)}
T äJä
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
>;EQ,P:]780,;:,;*O7w0,P*-7846'h0k>;4T%(B :lRQ,P=7w0k'h0 :Q%)RQ,;=,;*-A10(>;46%RQ,UA10kV10(B 'X,P7WVW%J*PIx*W46:Q%y]EQ,kI,;:*WE=6EQtm0(VPI
>;%J'X%EQ:100(AQV-%TM?46'h0(>P4T%JB :xIF*W,>P%J:Q*W46RQ,;VW0Xy]EQ,q>;EQ0(=Gy]EQ46,;Vc*W46:10(AQ*-4G*/7W%J'h0\2k0(=6%JVW,P*c,;:m78V-,¾\bd?o
}
ê0(jQ=G0)5oäF ý-ößû |ù¾úWû ÿ 9ý ûPöCú ßýOþ wø ûPöCüTý wø ûNþ¶ý-öCüTý ûPöC÷|øNþkø ÿ /ý ßþ¶ûPöCüTý ]ý-öß÷|øPù¾úû&üTý |ÿ ö ýWüø
d º ºK &
B!#$&%
?!-DCE%F?!-%
1A-%43%
5G!,7!0/#H%
:;<.%?>!
12(,>/(% <
:¯!*%- Ü /(% <
ÚÛÜ "!&%I?>!
12-%&!*
XVY+Z
[N0UVQ\R
S [N]>N4^)QRW
[N&fQ\R
T
X Yc
^Q\R
S [NdUONeM[fQRW
]>NdMVQ\R
M[
[N0UVQ\R
S [NeafQRW
[Nb^Q\R
P
]DQ\R
S [NNdUfQRW
[NdMVQ\R
a^
\(Þ#8#9!
ú ý øS¶ÿ ÷þ¶øP¶öúùOû û
Qú øSÿ ý-÷ ö߶û úùOû õ ù¾úú |¶øNúüTüûPûNþ¶þ øPøNö ö õ ù¾úú |¶øNúüTüûPûNþ¶þ øPøNö ö
J O
J
L
O
9 K
U
S [NeUnW
9 K
U
ú ßý-ý þ+wø ý û
Ã
& ¹
] Ãn^
S;UONUnW
Sp;UN[W
#p :=K0&780(jQ=G0c?oæc*-,#'UEQ,P*-78VW0c,;::+EQB 'X,;VW%cRF,#>;%J:F{QtJEQV80k>;4G%(:Q,;*RQ,#=6%J*C2k0(=G%(VW,;*xRQ,#=G%J*xA10(V10kB '),N78VW%(*
{1*W46%J=T%JB t(4G>;%(*&bvRQ,>;%J:F,;>P7W46254GRQ0(RRF,V-,;RdA10(V80RQ4nZ[,;VW,P:m78,q:+EQB '),PVW%RQ,q:Q,;EFVW%J:10k*Lb(I1Af%JVc780(:m78%QI1RQ,
*W4G:Q0(AQ*W46*RQ,)=G0dV-,;RCo 0(VW0v7W%?R10k*=G0(*78%JAi%J=G%(t1DB 0(*9y5EF,)RQ,Pjf,P:0(:10k=G4Gu;0(VW*-,<*W,)>;%J:Q*-4GRQ,PV80vy]EQ,h:Q%
,NM?4G*O78,X>;%J:Q,SM?4T%JB :,;:m78V-,h_a`9bs_xeU%FI=6%dy]EQ,),;*q=G%d')46*W'X%QIy]EQ, "`e FIaR10(RQ%dy]EQ,h*-,X7WV80k780dRQ,
>;%J:Q*-,;tJEF4GV¸7W%JAi%J=G%JtQDB 0(*#RQ46*-7W4G:m7w0(*zRQ,+=G0q>P%J:Q,SMF4@%JB :'X%J:Q%J*-4G:Y0kB AF7846>@0`,;e:me 78V-,+,;*O7w0(*/RF%J*&:Q,PEQVW%(:10(*;orp#=
:+EQB '),PVW%U7W%(7w0(=xRQ,>;%J:F{QtJEQV80k>;4G%(:Q,;*YAi%J*W46jQ=G,P*c,;*YRQ,;=%JV-RQ,;:dRQ,T o
x
z
ê0(jQ=G0)5o æ? ÿ /ýOþ¶ûcüTýrù¾û þ¶øPù¾úû ýWö (öúû Wû ÿ Púù-øNö 3üTý#þ¶ý-ü9öý Cÿ 9ý ÿ /ýOþ¶û/üý ý þ¶û køNö
>O>
ÚÛÜ "!&%I?>!
Ú6! Ü d%<A*
M
U
Ã
P
T
][
_
ÚÛÜ B!&%I?!
Ý (Þ<Ad3A*(+*
U
a
^
]
]]
]P
MP
^ ]
UU
Ã=]
TP
bI
Ù µÙ{²¯Â
r ÚuÜ B!d%I?!
ß %< {. Ü &/(,%<ª!*
^]
_K]F[ ZaZd`c
bK ]F[ cec
bK]F[
_K ]F[fegc
_K ]F[M
RK ]F[chei
_K ]F[ f
_K]F[ ZaZbd`c&cc
_K ]F[ Zbc&c
]> MP^>_
K ]F[
]> =ÃT[
]> P=ÃMU
]>]Fa>M
a M[T
^2 ^a>U[
a [>[>U^
P P=ÃPT
]> MaT
]> MP^>
º Tämæ
©mª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
ÈÉml n 9ÑÎ Ú ÒvÔÒ Õ Ô Î BÑ ÕDC Î Ô × Ô Î Ï ÒXÓ ÎpoÐ Ò)Ó × ÔÒ Õ
p#:
=6%J*h0kA10(V-780(RQ%J*h0(:m78,PVW4G%(VW,;*)*W,.Q0",;*O7w0(jQ=6,;>P4GRQ%>;EY0(B =6,;**-%J:·=6%J*)AQ0(V10(B 'X,P7WVW%J*X{1*W46%J=T%(B tJ4G>P%J*<b
RF,>P%J:Q,;>N784n2?46R10(R}RQ,V-,;R}>;%J:}'h0@bJ%(V)46:F1EQ,P:Q>;4G0*-%JjQVW,d=K0s>;%(VWVW,P=K0(>P4T%JB :~RQ,l0(>P7W46254GRQ0(RQ,;*,P:]7WVW,
:F,;EQV-%J:10(*Po 0(VW0>;0(R10vA10(V10kB '),N78VW%d*W,X.10vRQ,P7W,;V-')46:10(RQ%d,;=r4G:m7W,;V-2k0(=6%RQ,2(0k=G%JV-,;*Af%(*W4GjF=G,;*y]EQ,
AFEQ,;RQ,P:~0(RQ%JA?7w0(VPI0(*;DB >P%J'X%l=K0vVW,P*W%J=6EQ>;4@%JB :">P%J:"y]EQ,h>@0(R10dEQ:Q%RF,h,;*-%J*2k0(=6%JVW,P*AFEQ,;RQ,)2(0kVW4K0kV
RF,;:m78V-%RQ,;=¸4G:m78,PV-2k0(=G%Fol$&%(:,;=G=6%*-,.10l,P*-7W4G')0(RQ%l,P=z780(')0 :Q%,P*WA10k>;4G%lRQ,A10(VQ0(B 'X,P78V-%J*bJIAi%JV
780(:m78%QI5RQ,P=f:9EQB 'X,;V-%RF,9>;%(:F{1tJEQVW0(>;46%J:Q,P*¸RQ,3VW,PRQ,;*/RF4G*-7W4G:m7w0k*¸y]EQ,3AQEQ,;RF,;:R10(V-*W,kor´a0q,;=6,;>;>P4T%JB :)RQ,
EF:'~,NB 78%5RQ%hRQ,j+EQB *Wy]EQ,PR10RQ,U>P%J:F{1t(EQV80(>P4G%J:F,;*9RF,UVW,PRy5EF,UAf,PVW'X46780(:l0)_a`Yb_xe+RQ46*WA10kV80(V3>;%J:
EF:10>;%JV-VW,P=K0(>P4T%JB :*W4G'X4G=G0(V0l=G0y]EQ,,;*O7w0(*\:Q,;EQV-%J:10(*784G,P:Q,;:,P:EQ:10>P%J:Q,NM?4@%JB :'X%J:Q%J*-4G:Y0(B A?784G>;0
,SM?>;46780(RQ%JVW0FImRQ,Pjf,Y78,P:Q,;Vr,;:X>;EF,;:m7w0FImZ[EQ:FR10('X,;:m7w0(=6'),P:m78,(I],P=F7w0(')0 :Q%RQ,P=1,;*-A10(>;46%RQ,Yj+EQB *Wy]EQ,PR10Fo
p#=#AQV-4G'X,;V9',PB 7W%?RF%RQ,<j+EQB *Wy]EQ,PR10d0(EF78%('·0kB 7W4G>;0)y]EQ,Af%5RQV;DB 0hAQV-%JAi%J:Q,;V-*W,*W,PV@DB 0=KA0 rq À½
½ )s N»º $ (Ia>P%J:Q*-4G*-7W,;:m78,X,;:EQ:VW,;>P%JVWV-4GRQ%d>;%(')AQ=6,P7W%Af%JV7W%?R10k*q=G0(*Ai%J*W46jQ=G,P*q>P%J:F{1t(EQV80(>P4G%J:F,;*
{Q*W4G%(=T%JB tJ46>@0(*#b)RQ,37W%JAi%J=G%JtQDB 0RQ,+V-,;Ry]EQ,+AFEQ,;RQ,P:vR10(VW*-,(oz?46:,;'\j10(VWt(%QI?RQ0(RQ%U,P=i780('h0 :F%RQ,P=x,P*O
AQ0(>;46%qRF,3j9EQB *-y]EQ,;R10b,;=1>P%J*-7W,3>P%J'XAQEF7w0k>;4G%(:10(=F,P*-7W4G')0(RQ%QIm=G0j9EFB *Wy]EQ,;RQ0,NM?.10kEQ*-7W462k0q,P*¸46:m2?4G0(jQ=6,
>P%J:d=G%J*c'X,;RQ46%J*/78,P>;:Q%(=T%JB tJ46>;%J*&>;%J:d=G%J*cy]EQ,*-,.10<>P%J:m7w0(RQ%XA10(VW0<,;*-7W,,P*-7WEQRQ4G%Fo
êa,;:Q46,;:QRF%\,;:X>;EF,;:m7w0q=K04G'XAf%(*W4GjF4G=G46R10(RqRQ,L.10(>;,PV¸EF:10qj9EFB *Wy]EQ,;RQ0q,SMF.Q0(EQ*-7W462k0FI5*W,LAQVW%(Af%J:F,L,P=
,P')AF=G,;%LRQ,r7?,PB >;:Q46>@0(*y5EF,¸Ai,;V-')4n7w0(:q,NM?AQ=6%JV80(V,P=5,P*WA10k>;4G%3RQ,zj+EQB *Wy]EQ,PR109RQ,z'h0k:Q,;VW03'0(B *,P{1>P4G,;:m7W,(o
,P:m78VW%)RQ,q,;*-780(*Y7?,;B >P:Q4G>;0(*;Ii=G%(* t ¿Sº¼» <½ $ ?»º $ qbJIÀ'0(B *Y>;%J:Q>PVW,N7w0('X,;:m78,kIf=6%J* t ¿Sº¼» 5½ ½N»º NI.Q0(:RQ,P')%J*O78VW0(RQ%0k')AQ=64K0('X,;:m7W,X*-EAi%(78,P:Q>;4G0(=r>;%J'X%l,P*-78VW0k78,PtJ4K0k*\RQ,)j+EQB *Wy]EQ,PR10RQ,
*-%J=GEF>;4G%(:Q,;*c,P:,P*WA10(>P4G%J*L>;%(:dEF:,P=G,P2k0(RF%X:9EFB '),PVW%RQ,RQ4G'X,;:F*W4G%(:Q,;*Po
ô
ô
)}
}
"ýrÿ ü ý Förú
wúAýrü
ú
}
¾úAþ
øÿ dù
ü
þÞý
ü
úAþ
ü
ü
uwvax(vmy
z {m}~V1O~
}_ Om~
7{|
b,,~[77~[7,~[
|
{OJV7RO[~
|{~ 7~
Om p~
´ 04GRQ,;0<RQ,\0kAQ=G46>@0(V/=6%J*YAQVW46:Q>;46AQ4G%(*/RQ,q=K0<,P2(%J=GEQ>P4T%JB :d:10k7WEQV80k=0X=6%J*c*W46*-78,P'h0k*30kV-784n{1>;4G0(=G,P*;I?4G:m78V-%k
RFEQ>;46R10.10(>;,'0(B *RQ,<78V-,;*R¸,PB >@0(R10k*;Ia.10,NM?Af,PVW46'),P:]780(RQ%dEQ:s:Q%(780(jQ=G,<46')AFEQ=G*-%,;:=G%J*"EQB =n7846')%J*
0 :F%J*;o#ò1V-,;>;EF,;:m78,P'),P:]7W,q0(tJVWEFA10(R10(*&j10-%\7?,;B VW'X4G:F% t ¿Sº¼» ½$ ?»º$ % W 5» Nº s½$ W¡
5»º $ (Iz*-,,;:Q>PEQ,;:m7WV80(:~7?,PB >;:Q46>@0(*<>P%J')%l=G%J* t ¿Sº¼» ¢5½ ½N»º NI=G0(*½ N»¿ (»e½ (º l½ $ 5»º $ NI
=G£0 i¿ (¿ Nº ½ $ ?»º $ %s=K£0 i¿ (¿ Nº 5½ ½N»º ë ó %J=6=K0(:FRCI¸@mæJ?î %J=6RQjf,PVWtQI¸TJíJ?î
¤ %Ju;0FIaTJmÞ?îf?>w¦. ¥¸,PZ[,P=¶IT(m?îi,ì 0(§ >wðÀI@JJäFîfï46>w.10(=G, ¥Y4G>Pu(IaTJJäFîfï4n78>w.Q,P=G=ßIa@JJäFîiò1%JtJ,P=¶ITJm5î
¤ %Ju;0<,P730(=¶onIx@JJkôßor´%J*L0(=GtJ%(VW467W')%(*¸,N2J%J=6EF784n2J%J*Y*W,.10k:0kAQ=G46>@0(RQ%<>P%J:,NB M?467W%X,P:=G0U*W%J=6EQ>;4@%JB :vRQ,
:]EQ'X,;V-%J*W%(*zAFVW%JjQ=6,;')0(*;I(,;:RQ%J'X4G:Q46%J*a'UEFbURF46Z[,;V-,;:m78,P*;I]>;%(')%%JA?784G'X4Gu;0(>;4@%JB :CI|AQVW%(tJV80(')0(>P4T%JB :<0kE?
7W%J'0kB 7846>@0FI50(AQV-,;:QRF4Gu@0T-,'·0(B y]EQ46:10^ 5º x½ G½ (¿ 1º QgSI?,P>;%J:F%J'DB 0FI5%JAf,PV80(>P4G%J:F,;*/RQ,9j+EQB *Wy]EQ,PR10FI
,P>;%J=6%Jt1DB 0FIJAi%JjQ=K0k>;4G%(:Q,;*#tJ,P:¸,PB 7W4G>;0(*;I],;*O78EQRF4G%J*z*W%JjFVW,L,P2J%(=GEQ>P4T%JB :<bX0(AQV-,;:QRF4Gu@0T-,(I]*W46*-78,P'h0k*z*-%?>P4K0(=6,;*PI
,N78>ko9ëçï4n78>w.Q,P=G=¶IiTJ(äkô¶o 0(VW0EF:10UVW,N2?46*W4@%JB :*W%JjFVW,,;=x,;*-780(RQ%<RQ,P=0(VO78,RQ,+,P*-780(*c7?,;B >P:Q4G>;0(*cAQEQ,PRQ,;:
}
þÞý
úAþ
ú
úAþ
Fú
ú~ù fÿ ø
þÞý
ú
ú
ú~ù
ú~ù fÿ ø
9ø þ Fú ø 9ø
ü
ü
øÿ dù
øÿ dùFú
ü
þÞý
ü
ù
ü Fú
)ý dú~ù fÿ ø
búü
½o
þÞý
úü
T äJí
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
2J,;V-*W,qê%('h0(*-*W46:Q4rëèTJm?IxTJJäkôßî1ì/0k:Qu;.10|Z,P7L0k=¶oëèTJmæô¶o
´%J*0(=GtJ%(VW467W')%(*Xt(,;:¸,NB 784G>P%J*hZ[%JV-'h0k:·EQ:
*WEFjf>P%J:|-EQ:m78%~A10kV-7846>;EQ=G0(VXRQ,;:m78V-%~RQ,=K0k*)7?,PB >;:Q46>@0(*
,P2J%(=GEF7W462k0(*;©o ¨(%J.Q: ó %J=G=G0(:QRCIzRQ,=K0sÃ3:Q4n2J,PVW*W46R10(R·RF,ï46>w.Q4GtJ0(:CI&>P%J'X,;:QuC%B 07WV80(jQ0W0(V,;:·=6%J*
0(=GtJ%(VW467W')%(*&tJ,P:&,PB 7W4G>;%(*90AQVW46:Q>;46AQ4G%(*/RQ,q=G%J*L0 :Q%J*Yä(XRQ,P=*W4Gt(=G%A10(*W0(RQ%Qo&Ã3:10AQVW46'),PV80<'X,P7w0<Z[EQ,
=K0UAQEQjF=G4G>;0(>;4@%JB :RQ, ó %(=G=K0k:QRë@mæJ|ôßo
ÃL:v0(=Gt(%JVW4n78'X%tJ,P:¸,PB 7W4G>P%<,;*/EQ:vAQV-%?>P,;*-%<4678,PV80k7W462(%Uy]EQ,>;%J:F*-7w0URF,+EQ:10UAi%JjQ=G0(>;4@%JB :hRQ,<º (º $Tº ¡
No$/0(R109EQ:F%+RQ,/,P*-78%(*4G:QRF46254GRQEF%J*,P*-710+B VW,;AFVW,;*-,;:m7w0kRQ%Af%JVEQ:109>;0(RQ,P:109{1:Q4n7w09RQ,3Üé*;D B 'Uji%J=6%J*;ÜnI
>;%J:Q%5>;46R10>;%J'Xª% 5½ W (o/$/0(RQ0)EQ:Q%XRQ,q,;*O78%J*L*@DB 'Ujf%(=G%J*c*-,RQ,P:Q%J'X4G:10<>P%J'EQB :F'),P:]7W«, 5½ 1o/Ã3:
tJ,;:Q%('h0L>;%5RQ46{1>;09EQ:103Af%J*-4GjQ=6,¸*-%J=GEF>;4T%(B :U09EQ:<AFVW%JjQ=6,;')03,P:UEQ:<,;*-A10(>P4G%+R10kRQ%Qop#*O78,/,P*WA10(>P4G%QI(>;%k
:Q%?>P4GRQ%)>;%J'X%½ 1 Nº 5¬½ rq À½ (Ii>;%J'XAQV-,;:QRQ,q78%5R10(*3=K0(*LAf%(*W4GjF=G,;*L*W%(=GEQ>P4G%J:Q,P*+0(=AQV-%JjQ=6,;')0Fo
,d')0(:Q,PV80stJ,;:F,;V80k=¶I&=6%J*X0(=Gt(%JVW4n78'X%J*UtJ,P:&,PB 7W4G>;%(*)*-,.10k:'X%J*-7WV80(RQ%,;*-Af,P>;4G0(=G'X,;:m78,v,N{1>;46,;:m78,P*
>;E10(:FRQ%*W,h0(AQ=64G>@0k:"0l,P*WA10k>;4G%(*\RQ,)j+EQB *Wy]EQ,PR10lRQ,P'h0(*-4K0(RF%ltJVW0(:QRQ,P*\>;%(')%A10(V80d=G=6,P2k0(Vq0>;0(jf%
EQ:10j+EQB *Wy]EQ,PR10,NM?.10(EQ*O784n2(0?o#p#=À0(=6Z0(ji,P7W%RQ,c*;DB 'Uji%J=G%J*EQ*80(RF%qAQ0(V80>;%5RQ4n{1>@0(V#=6%J*#tJ,P:Q%J')0(**WEF,;=G,
*W,;VcEF*WE10(=6'),P:m78,+jQ46:10(V-4G%QI?0(EQ:Qy]EQ,AFEQ,;RQ,P:,P')AF=G,@0kVW*W,9%(78VW0(*/>;%5RQ4n{1>@0(>P4G%J:F,;*;I?>;%J'X%<=K0k*&j10(*W0(R10(*
,;:d>@0(VW0(>P7W,;VW,P*;IÀ=G%(*/2(0k=G%JV-,;*cVW,;0(=G,P*c,(I146:Q>;=6EQ*W%QIFVW,;AFVW,;*-,;:m7w0k>;4G%(:Q,;*3,;:vZ[%JVW')0URQ,0(B VWji%J=C%tJVW0kZ[%Qo
ÃL:d0(=GtJ%(VW467W')%qtJ,P:&,PB 7W4G>;%<,P*-710(B :QR10(VcZ[EQ:F>;4G%(:10URQ,=K0*W4Gt(EQ4G,P:]7W,+')0(:Q,;VW0F#*W,t(,;:Q,PV80FI10k=G,@0|78%JV-4K0
%U.Q,;EFV@DB *O7846>@0('X,;:m78,kIFEQ:Q0\Af%(jQ=K0(>P4T%JB :)4G:Q46>;4G0(=1RQ,+46:QRQ462546RQEQ%J*Pop#:>@0(RQ«0 ½ $ 5»ßº $ I?>;%J:F%?>P4GRQ%
.10(jQ4n78E10(=6'),P:m78,X>;%J'XA% 5½ x½N¿ Nº 1I=6%J*\46:QRQ462546RQEQ%J*RQ,=K0dAf%(jQ=K0(>P4T%JB :"0(>P7WE10(=¸*W, 5½ (º ­ b
*W,½ $ ~RQ,)0(>;EF,;VWRF%l>;%(:0(=6t/EQB : N¿Nº¼»½N¿Sº 5½ 5½ Nº E% $ èº 5^½ lAQV-,;,;*O7w0(jF=G,;>P4GRQ%Fop#*-78,
>;VW4n78,PVW4G%d*W,)>;%J:F%?>P,h>;%('EQB :Q'X,;:m7W,)>P%J')% ­r» x½ h% Nº ®­r» x½ No 0(V80vZ[%JVW')0(VEQ:10l:]EQ,N2k0
Af%JjF=K0(>P4T%JB :^=K0q*W46tJEQ4G,P:m78,9t(,;:Q,PV80(>P4T%JB :Àgz=G%J*¸4G:QRQ4n254GRQEQ%(*¸*-, T½ G½ Nº dRF,0(>;EF,;VWRF%0U*WE2k0(=G46RQ,;uko
pM?46*-78,P:'\EQ>w.Q%J*AQV-%?>P,;RQ46')46,;:m78%J*9RQ,<*W,P=G,;>P>;4@%JB :y]EQ,*-,<EQ*80(:,;:=K00k>P78EQ0(=G46R10(Rd
*W4G,P:QRQ%vEQ:Q%
RQ,Y=G%J*#'0(B *r*W46')AQ=6,;*#,P=1'~,NB 78%5RQ%RQ, T½ G½ Nº «i¿ ¿ Nº %$ èº 5^½ ;ImAFVW%JAQEF,;*-7W%,P: ó %J=G=G0(:QR
ëTJæJ|ôè RQ%J:QRF,X=6%J*+46:QRQ462546RQEQ%J*+*-%J:*W,;=6,;>P>;4G%(:10(RQ%J*RF,)0k>;EQ,PVWRQ%0EQ:10AQVW%(j10(jQ46=G4GRQ0(RAQV-%JAf%(VO
>;4G%(:10(=0*-E2(0k=G4GRF,;u(op#*-7W%0k*W,;t(EQV80y]EQ,<,;=:+EQB '),PVW%RF,2(,;>P,;*,;*-Af,PV80(RQ%dy]EQ,<EQ:s4G:FRQ46254GRFEQ%,;*
,;=G,PtJ4GRF%q,P*&0kAQVW%@M?4G')0(R10('X,;:m7W,cAQVW%JAi%JV->;4G%(:10(=10*WE),P{1>P4G,;:F>;4K0VW,P=K0k7W462k0+,;:X=K0Ai%JjQ=K0k>;4T%(B :Co³3*@DB I5=6%J*
4G:QRQ4n254GRQEQ%(*3>P%J:EQ:10h,P=G,N2(0kR10)2k0(=G46RQ,;uh^OÜçjQEQ,P:Q%J*PÜ g37W4G,;:F,;:EQ:10)'h0@bJ%(V9AQV-%Jj10(jQ46=G46R10(RdRQ,ÜçVW,;AFVW%k
RQEQ>;46VW*-,(ÜnIa'X4G,P:m78V80k*y5EF,X=6%J*+46:QRQ462546RQEQ%J*+RF,X'X,;:F%JV+2k0(=G46RQ,;u\7W4G,P:QRQ,;:0RQ,;*W0(A10(V-,;>P,;Vq0=G%v=K0(V-tJ%
RQ,=K0(*ctJ,P:Q,;VW0(>;46%J:Q,P*;o
´0*W,P=G,P>;>;4@%JB :CIrAi%JVU*;DB *W%J=G0FI#:Q%s4G:m78V-%?RFEQ>;,:]EQ,N2J%J*X4G:FRQ46254GRFEQ%J*U,P:=G0lAi%JjQ=K0k>;4T%(B :CI,;*RQ,P>;46V;I
:Q%AQEF,;RQ,,;:Q>P%J:m78V80kV:]EQ,N2J%J*AFEQ:m78%J*,;:Á,P=,;*WAQ0(>;46%RQ,j+EQB *Wy]EQ,PR10Fo p#*-7W%J*l:]EQ,N2J%J*lAQEQ:m78%J*
*W,tJ,;:Q,PV80(:Â'),PRQ4K0k:]7W,sRQ%J*d%JAf,PV80(>P4G%J:F,;*v>;%J:Üé46:Q*WAF4GV80k>;4T%(B :
tJ,;:¸,NB 7846>@0FÜn,P= N¿ 9 º¶½ 1» b=K0
?» Nº 1op#= N¿ 9 º¶½ 1» *W,r=G=6,P2k0c0c>@0(ji%3>P%J:qEQ:10cRQ,P7W,;V-')46:10(R10cAQV-%Jj10(jQ46=G46R10(R^[RQ,;:Q%(')46:10(R10
i¿ ¦;º èº 5½ N¿ 9 º¶½ 1» %» 5½ N¿ ¯ º¶½ 1» gL,;:m7WVW,<RQ%J*46:QRQ4n2?46RQEQ%J*3*W,P=G,;>P>;46%J:10(RQ%(*;I
=G=K0k'h0(RF%JL* (¿8½ No 0(VW03,;=6=G%QIT*-,&46:]7W,;V->@0('UjF4K0(:A10(VO78,P*RQ,z*WEF*tJ,P:Q%J')0(*A10(VW0YZ[%JV-'h0kVRQ%J*a:5EF,P2J%(*
4G:QRQ4n254GRQEQ%(*;I1=G=G0(')0(RQ%Jp* 5º ¹ No/pr:EQ:102J,;V-*W4@%JB :'UEFbv*-4G'XAQ=G,kIQ*W,4G:m78,PVW>;0('UjQ4G0(:*-EQji>@0(RQ,P:10(*3RQ,;=
}
9ø)ö
öAý
ü
ø
ü wú~ù
ú
ø
ö
"ýrÿ ü ý Förú
wúü
ø
ú~ù fÿ ø
úAþ~ýVÿ úAø
þÞý
Çö ù
ù
ö úrö ùýVú~ù fÿ ø
&ø üü
|÷ý~ø4ù fÿ ø
¾ü þ ùù
ü þ ùù fÿ ø
ù
úAþ bö
&ø üü
ø)úAø
ø)úAþfúþ,ú úAþ bö
ù ý Oú
ý dú~ù fÿ ø
ú
4ù ý Oú
9þ börúrö
wúrö
ö |ù ý Oú
ø
ø
ü
dúüú
ö |ù ý Oú
ü
ø
ö "ùFúAø
ø
TäJ
m© ª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
t(,;:Q%J')0RQ,P*WAQE¸,PB *RQ,<EQ:10*-,;=G,P>;>P4T%JB :0(=6,@0k7W%JVW4G0XRQ,<EF:° 1» 5½ N¿ 9 º¶½ 1» oqp#*-7W,<%JAi,;V80kRQ%JV
7W4G,P:QRQ,v0Ai,;VW'X467W4GVqy]EQ,v,;=/AQV-%?>P,;*-%,N2J%J=6EF784n2J%*-,d'\EQ,P2k0.10(>P4K0V-,;tJ46%J:Q,;*ÜçAQV-%J'),N78,PRQ%JV80k*;ÜRF,;=
,P*WA10k>;4G%XRQ,j9EQB *-y5EF,;R10Fo
p#=x%(Af,PV80(RQ%(V&RQ, 5» Nº l*W,94G:m78V-%?RQEF>;,9AQ0(V80\AFVW,P2(,;:Q46V/=K0>;%J:m2J,PVWtJ,P:Q>;4G0UAQVW,P'h0|78EQVW0\.10(>P4K0
%(B AF7846')%J*<=6%?>;0(=G,P*;Ir'X,;RQ4G0(:m78,v=K0tJ,P:Q,;VW0(>;4@%JB :0k=G,@0|78%JV-4K0lRQ,d:]EQ,P2(%J*hAFEQ:m78%J*l^46:QRQ462546RQEQ%J*8g\,;:,P=
,P*WA10k>;4G%hRQ,Uj9EQB *-y5EF,;R10Fo 0(VW0h,;=6=G%QIÀ>P%J:EQ:10RF,P78,PVW'X4G:10kR10)AQV-%Jj10(jF4G=G46R10(R^RF,;:Q%J'X4G:Q0(R1¢0 i¿ ¡
;º èº X%h» 5½ ?» Nº xgNI5Af,Py5EF, :10(*¸VW,;t(4G%J:Q,P*¸RF,;=itJ,;:Q%('h0h^:Q%JV-'h0k=G'X,;:m78,YEQ:)*W%J=6%\tJ,P:,;:
=G0U>@0(RF,;:10mgc*W,'X%?RF46{1>;0(:=G46tJ,;VW0('),P:m78,(o
´%J*a0(=6tJ%JVW4n78'X%J*xt(,;:¸,NB 784G>P%J**W%J:AQVW%5>;,P*W%J*4n78,;VW0k784n2J%J*,P*-7W%?>C0(B *-7W4G>;%(*>PEFbm0L>;%J:m2J,PVWtJ,P:Q>;4G03:Q%L,;*O7À0 B
tJ0(V80(:m7W4Gu@0kR10Foz´0X>P%J:QRQ46>;4T%(B :dRF,q7W,;VW'X4G:Q0(>;4@%JB :*WEQ,P=G,q,;*O7w0(VYRQ,N78,;V-')46:10(R10RQ,')0(:Q,;VW0{|W0FI1>;%J'X%
EF:'0|B M?4G'X%l:9EFB '),PVW%lRF,tJ,;:Q,PV80(>P4G%J:F,;*<%=K0>;%J:Q*-,;>PEQ>;4@%JB :~RQ,EQ:~:Q462(,;=¸RQ,2k0(=G46RQ,;uh0(>;,PAF7w0(jF=G,
AQ0(V80<=G%(*c4G:QRQ4n254GRQEQ%(*/RQ,q=K0UAi%JjQ=K0k>;4T%(B :Co
)ý~ø
ö ù ý Oú
ø
ý dú~ù fÿ ø
ú
9þ börúrö
dúüú|ö
ý dú~ù fÿ ø
~}
± ¦ ²;¤³¥ª°f¥r¤µ¦)´ ¨¶¦¬º~£°²e¦£{¡·{¨Hr´ ¢¤b¥ª¦_¡¬;°V£°­±§°A¸®®;´ ¡*¹
®e²;°Z²;
¦º
²
¥ª¦_¨e e¤§¦_¨e° e¦)¡
0(V80~=G=6,P2k0(Vv0~>@0(ji%~=K0j9EQB *-y5EF,;R10RQ,>P%J:F{1t(EQV80(>P4G%J:F,;*{1*W46%J=T%(B tJ4G>;0(*hbRQ,VW,PRÂ'X,;RQ4G0(:m78,sEQ:
0k=GtJ%JV-467W')%t(,;:¸,NB 784G>P%QI9RF,;ji,*-,;tJEQ46VW*-,EQ:Q0*-,;VW46,sRQ,AQ0(*W%J*Po p#:AQVW46'),PV=GEQtm0kV;I9,P*:F,;>;,P*80(V-4G%
,P*-780(jQ=G,P>;,PV,P=#'~,NB 78%5RQ%RQ,>;%5RQ46{Q>@0(>P4T%JB :sRQ,=G%(*4G:QRQ4n254GRQEQ%(*+RQ,X=K0Ai%JjQ=K0k>;4T%(B :Co$/0(R10v4G:FRQ46254GRFEQ%
RF,;ji,L>P%?RF46{1>;0(VW*-,L,P:)EF:)tJ,P:Q%J')0+b<>;%J:F*-784n78EFb(,YEQ:10Af%J*-4GjQ=6,/*W%(=GEQ>P4T%JB :X0(=QAFVW%JjQ=6,;')0+y]EQ,Y*W,Y78V80|7w0
RF,c*W%J=6EQ>;46%J:10(VPo %JV7w0(:m7W%QIJ>@0kR10+tJ,;:F%J'h0+RF,;ji,c>;%J:m78,P:Q,;V#46:FZ[%JV-'h0(>P4T%JB :*W%JjFVW,/78%5RQ%J*bU>@0kR10+EQ:Q%
RF,\=G%(*3A10kV10(B 'X,P7WVW%J*Y{1*W46%J=T%(B tJ4G>P%J*cbRF,\>;%(:Q,;>N78462546R10(RlRF,\VW,PRy]EQ,U46:F1EFb(,;:*W%(jQVW,=K0>;%JV-VW,;=G0(>;4@%JB :
RF,v0(>P7W46254GR10kR",;:m7WVW,:Q,PEQVW%J:Q0(*d^[b"y5EF,*W%J:=6%J*\A10kV10(B 'X,P7WVW%J*Uy]EQ,*-,.10(:~*-,;=G,P>;>P4G%J:10kRQ%,;:~=6%J*
0kA10(V-780(RQ%J*0(:m78,;V-4G%JV-,;*RF,,;*-7W,s>@0(ACDB 78EQ=6%]gNoÍÃ3:tJ,;:F%J'h0VW,;AFVW,;*-,;:m7w0?I+Af%(Vh7w0(:m7W%QIYEQ:10 EQB :Q46>@0
>P%J:F{1t(EQV80(>P4T%JB :v:Q,PEQVW%(:10(=CbRQ,7W%JAf%(=G%JtQDB 0\RQ,VW,PRCo
p#:s,;*O78,<,;*O78EQRF4G%QICAQ0(V80h=G0h>;%5RQ4n{1>@0(>P4T%JB :lRQ,U=G%(*94G:FRQ46254GRFEQ%J*9RF,U=K0hAi%JjQ=G0(>;4@%JB :l,P:s,;=t(,;:Q%J')0
*-,+.10(:EF*80(RQ%\:+EQB '),PVW%J*¸VW,;0(=G,P*;o#ÃL:tJ,;:Q%('h0q,;*/EQ:2(,;>N78%JVc>P%J:=G%(*¸2k0(=G%(VW,;*zRQ,+>;0(R10UEQ:F%URQ,+=6%J*
AQ0(V10(B 'X,P7WVW%J*+{Q*W4G%(=T%JB tJ46>;%J*3b78%JAi%J=T%(B tJ4G>P%J*9RQ,X=K0V-,;RCqAf%(V>@0(R10v*W46:10(AQ*-4G*PIaRF,;ji,).10kjf,PVqEF:2k0(=6%JV
RF,hAi,;*W%bRF,hVW,N78VW0(*W%*-4G:Y0kB AF7846>;%QîAi%JVq>@0(RQ0:Q,PEQVW%J:Q0FIRQ,Pjf,).10(ji,;V\EF:"2k0(=G%JVA10kV80,P=z7W4G,P')Ai%
RF,)*-EQjQ4GRQ0dRQ,X=K0>P%J:QRQEQ>N7w0(:F>;4K0vRQ,X'),P'UjQVW0(:10FI,;=7W4G,P')Ai%vRQ,j10W0(R10dRQ,=K0>;%(:QRQEQ>N7w0(:Q>P4K0vb
,P=¹Sº¼»ß»½N¿So %JV7w0k:]7W%QIa,;=#7w0(')0 :Q%RQ,P=¸t(,;:Q%J')0,;*O7À0B ,P:Z[EQ:F>;4T%(B :"RQ,P=z:9EFB '),PVW%vRQ,X:Q,;EQV-%J:10(*RQ,
=G0<VW,;RxIi=6%<>;EY0kB =780('UjQ4N,;B :v>;%(:QRQ4G>P4G%J:Q0,P=:+EQB 'X,;VW%RQ,*-4G:10(AF*W4G*YRQ,=G0V-,;RCo¸³9*;DB IQA10kV80EQ:10VW,;RRQ,
7WVW,P*c:Q,;EQV-%J:10(*PIQ,;=xtJ,;:Q%('h0\RF,EQ:4G:QRF46254GRQEF%U,;*cEQ:2(,;>N78%JVcRQ,<Tæ\:+EQB '),PVW%J*¸VW,;0(=G,P*;IQ>P%J')%\,;=xRF,;=
,P*Wy]EQ,P'h0\RF,9=K0{1tJEQVW0U?onJJo 0(VW0\EQ:10qVW,;RhRQ,9:Q,;EQV-%J:10(*&*W,9:F,;>;,P*W4n7w0\EQ:htJ,;:Q%('h0RQ,3780(')0 :Q%
Þ(æ?oqpr:t(,;:Q,PV80(=ßIC*W46,;:QRQ%_",;=:9EFB '),PVW%RQ,<:F,;EQV-%J:10(*RQ,\=K0hV-,;R}^¼_ »©½kÞ @@ ¾kgNIf,;=780(')0 :Q%
RF,;=QtJ,P:Q%J')0FIJ*-,;t&EQB :,;*O78,c,P*Wy]EQ,;')0RQ,c>;%5RQ46{Q>@0(>P4T%JB :CI|254G,;:F,cR10(RQ%Ai%JV#=K03,NM?AQVW,P*W4@%JB :_X^_ Hmg (o
´0)t(,;:Q,PV80(>P4T%JB :RQ,\=G0XAi%JjQ=G0(>;4@%JB :v4G:Q46>;4K0k=CRQ,;=0(=6tJ%JVW4n78'X%<tJ,;:¸,PB 7846>;%)RQ,;ji,.Q0(>;,PVW*W,\RQ,\')0(:Q,PV80
y]EQ,L78%5RQ%J*r=G%(*z46:QRQ4n2?46RQEQ%J*rV-,;AQV-,;*W,P:m78,;:V-,;RQ,P*&RQ,P=À')46*W'X%:+EQB '),PVW%qRQ,L:Q,;EQV-%J:10(*Porp#*-78%*W46tJ:Q46{Q>@0
}
)}
{v=à=àà>v
)}
B×
æ(
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
W21
n1
W31
W13
Peso sináptico
W13
W21
W23
W32
n3
Latencia
W31 W32
ϕ1
ϕ2
n2
W23
Conductancia de membrana
ϕ3
ω 11
ω 12
ω 21
ω 22
ω 31
Jitter
ω 32
σ1
σ2
σ3
Pýòþk4GøßÿtJþ¶kEFý ù¾V8û0üý9?o6øN(þßJþ¶\ú kýWøöõi(qö øÿ õ üTýýWcøöN|ý +øûüTúcøý éú ¶øPüùOûTø PüTý ú (û øNùOcøøö 3ø ûPß÷kö¸ý øS|÷(þ ù¾ý-ø ú ößøNûPö¸öz|öø+üú ý9þßøSýWÿ ù-÷ üUøNßüú üTùOøýøNö ößßúþ¶|ý-¶øSöþß÷|ýW|öößýúQö ý þ¶û ùO|ú ßkøPû ù¾ö û øF1ù¾Àýû ü&ûøN¶üû û ¶ø ø 1ý ÷(ýYûNßûTþ ößýüøPý ö øqýWøNöö¸¶ùOþ¶ûöø9ú |ý ýøN@<÷|úWûöÿ ýú ö
÷|ø þßû |Pø ý øPúüý ø9ßüTýWöCý üTø+ý ù |þ ø wø9/úüTö ýYcøù¾û |ýü ||þßù û ¶|ø |ø ù¾ßú úø3ý üý ý &ýø /úö þ cøø kø ø ßüTý ûPkö ù¾ú ø éû;öC÷|øSþ(5ø ÿ÷(/ýûNþ#¶ùOþßû;øPöüø |ý ý |/ûþßûT|üTøý ø ý ø/¦Uö úü|ø üTý
¶þ¶ø |ö &ú ößú-û ÿ 3ößú øNÿ ÷ ßú ùOø ûc÷(ûNþùOøPüø ý |þßû |ø¸üý ø&þ¶ý-ü
yK
d I >
@
B ¹ > \ \
B³ §
K )) p Á
¹ ç 8¹
0 I
j
I´ ©´
§
b K ¹w ³ ¹ ç $¹
E B
³
l
j
Z
c
º G & " > 6 y G & " ¹
> µ
y bK "
l
¼
B &
> O B ³K ¹
¹
y >
(Þ#8#9!
j
XwYÞZ
XVYc
l
&
> O
G >
º
j
l
y5EF,&,;=]7w0k'h0 :Q%YRQ,z78%5RQ%J*a=G%J*tJ,P:Q%J')0(*aRQ,&=G0LAi%JjQ=G0(>;4@%JB :RF,;ji,&>;%(4G:Q>P4GRQ46VA10(V80L>@0(RQ03,¾-,P>;EQ>P4T%JB :\RQ,;=
0(=GtJ%(VW467W')%3tJ,;:¸,PB 7846>;%Qo ,L,P*-780')0(:Q,;VW0FIm,;=À%JAi,;VW0(RQ%JV#RF,3>PVWEQu;0(')46,;:m78%*-,3*-4G'XAQ=G4n{1>@00(=À0kAQ=G46>@0(V-*W,
*W4G,P')AFVW,L*W%JjQV-,346:QRQ4n2?46RQEQ%J*ry]EQ,L784G,P:Q,;:)=K0')46*W')0>;%J'XAQ=G,-4GR10kRCo54G:h,P'Uj10(V-tJ%QI],;*O7w0qVW,;*O78V-4G>;>P4T%JB :
%JjQ=G46tm0<0=K0(:Qu;0(VYRQ46Z[,PVW,P:]7W,;*L,¾-,P>;EQ>P4G%J:Q,P*946:QRQ,;Ai,;:FRQ4G,P:]7W,;*LRQ,;=a0(=6tJ%JV-4678'X%UtJ,P:¸,PB 7W4G>P%)>P%J:lRQ46*-7W4G:m78%
:+EQB '),PVW%RF,:Q,;EQV-%J:10(*PI9,P:]7WVW,ÞbÁTFo %JV%k78VW%=G0(RQ%QIY*-,.10,;*O7w0(jQ=6,;>P4GRQ%,P:,P*-7W,,P*-7WEQRQ4G%
RQ%J*'~,NB 78%5RQ%J*<A10kV80s=K0tJ,;:F,;V80k>;4T%(B :RF,=G0Af%JjF=K0(>P4T%JB :46:Q4G>P4K0(=+^A10(VW0EQ:}:9EFB '),PVW%sRQ,P7W,;V-')46:10(RQ%
RQ,v:Q,;EQV-%J:10(*XRQ,v=K0V-,;RÀgSEF:10tJ,;:Q,PV80(>P4T%JB :~78%k7w0(=6'),P:]7W,0(=6,@0k7W%JVW4G0FI#RQ,;:m7WVW%"RF,d=6%J*<V80k:QtJ%J*<RQ,
2(0k=G%JV-,;*q,;*-780(jQ=6,;>;46RQ%J*A10(V80=G%J*qA10(VQ0(B '),N78V-%J*,P:=G%J*0(A10kV-7w0kRQ%J*U0k:]7W,;V-4G%JV-,;*;î#bEQ:10tJ,;:Q,PV80(>P4T%JB :
.Q,;EQV;DB *O784G>;0FI,P*-780(jQ=G,P>;46,;:QRQ%l*W,;'X4G=6=K0(*0A10(V-7W4GVRQ,)=K0(*q>;EY0kB =G,;**W,t(,;:Q,PV80(:=6%J*q4G:QRQ4n254GRQEQ%(*RQ,)=K0
Af%JjF=K0(>P4T%JB :46:Q4G>P4K0(=ßo
0(V80+=G09tJ,P:Q,;VW0(>;4@%JB :URQ,/=G09Ai%JjQ=K0k>;4T%(B :\4G:F4G>;4G0(=m'X,;RQ4G0(:m78,/*-,;'X4G=G=G0(*;I*-,c=K0(:Qu;0(:U*-4G'UEQ=G0(>;46%J:Q,P*RQ,
VW,;RF,;*^>P%J:vEQ:v:+EQB '),PVW%U,P*WAi,;>(DB {1>P%XRF,:Q,;EQV-%J:10(*8g/>;EFbJ0>P%J:F{1t(EQV80(>P4T%JB :{1*-4G%J=@%JB tJ46>@0qb)78%JAi%J=@%JB tJ4G>;0
*W,X,;=G46tJ,<RQ,X'h0k:Q,;VW0d0k=G,@0|78%JV-4K0Fo)$/0(R10v>;%(:F{1tJEQVW0(>;4@%JB :y5EF,)tJ,P:Q,;V-,)EF:10>P%JVWV-,;=K0k>;4T%(B :RF,h0(>N784n2?4
R10(RQ,P*9,;:m7WVW,U_`cbd_xe+*-4GtJ:Q4n{1>@0|78462k0*-,;t&EQB :l=G%J*Y>;V-467W,;VW46%J*LRQ,\*-4GtJ:Q4n{1>@0k>;4T%(B :46:]7WVW%5RQEQ>P4GRQ%J*Y,P:,;=
>@0(ACDB 78EQ=6%sH >P%J:Q*-7W467WEQ4GVQ0B EQ:10*W,P')46=G=K0A10(V80=G0tJ,;:Q,PV80(>P4T%JB :~RQ,v=G0Af%JjF=K0(>P4T%JB :46:Q4G>P4K0(=zRQ,vEQ:10
,¾-,;>PEQ>;4@%JB :RQ,P=C0(=6tJ%JVW4n78'X%tJ,;:¸,NB 7846>;%Qor´0UAi%JjQ=K0k>;4T%(B :)46:Q4G>P4K0(=À>;%(:Q*-780(V10UB RQ,9EQ:>;%J:-EQ:m78%<RQ,+46:QRQ4n2?4
RQEQ%J*X^[.10(jQ4n78E10(=6'),P:m78,h@Jmg3>PEFbJ%J*tJ,P:Q%J')0(*+*-%J:s,;=V-,;*WEF=67w0kRQ%RQ,<'X%?RQ4n{1>@0kV9=G46tJ,;VW0('X,;:m78,h^RQ,
'h0(:F,;V800(=6,@0k7W%JVW4G0\b>;%(:lEQ:10<7w0k*80RQ,'X%5RQ46{1>;0(>;4@%JB :*-4G'X4G=K0kV/0=K0<AQVW%(j10(jQ46=G4GRQ0(RRQ,q'UEF780(>;4@%JB :Àg
,;=t(,;:Q%J')0hRQ,\=K0)*-,;'X4G=6=K0Fo ,\,P*-7w0')0(:Q,PV80h*-,UAQV-,P78,P:QRQ,y]EQ,U=G0)>;%(:]2(,;V-tJ,;:Q>P4K0RQ,P=0(=6tJ%JVW4n78'X%
tJ,;:¸,NB 7846>;%v*W,;0d'0(B *V10kB AQ4GR100k=A10(VO784GV9RQ,4G:QRQ4n254GRQEQ%(*+y]EQ,RQ,;V-462k0(:sRQ,EQ:10VW,PR>P%J:s>;%JV-VW,P=K0(>P4T%JB :
*W4Gt(:Q46{1>;0k784n2k0\,;:m78V-,=G0(*Y0(>N78462546R10(RQ,P*cRQ,_a`¸b_xeTo
.97WV80c0(*-Af,P>P78%Ly]EQ,#*W,r.10c>P%J:Q*W46RQ,;VW0(RQ%c,P*a,P=JAi%JVW>P,;:m7w0-,rRQ,#*-4G:10kAQ*W46*C4G:Q.F4GjQ46RQ%JV80k* k,SMF>P46780(RQ%JVW0(*
}
m
æ?
m© ª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
RF,q=G0<VW,;RxI1y5EF,*-,q,P*-780(jQ=G,P>;,,;:,;='X%J'X,;:m78%<RQ,=G0t(,;:Q,PV80(>P4T%JB :vRQ,=K0<Ai%JjQ=G0(>;4@%JB :4G:Q46>;4G0(=¶o$/0(R10
46:QRQ4n2?46RQEQ%+RF,c=K0+Ai%JjQ=K0k>;4T%(B :\78,P:QRQV10B EQ::9EQB 'X,;V-%+>;%(:Q>;V-,P78%RQ,c*-4G:10kAQ*W46*#4G:Q.Q46jQ4GRF%JV80(*b",PB *-7w0k*#>;%J46:?
>P4GRQ46V10(B :,P:)78%5RQ%J*#=6%J*r4G:QRF46254GRQEF%J*;o´a0:10k7WEQV80k=G,;u;0RQ,3EF:10q*-4G:10kAQ*W46*z:F%>;0('UjQ4G0q0=G%=G0(VWtJ%RF,3=G0(*
t(,;:Q,PV80(>P4G%J:Q,P*#RQ,;=F0(=Gt(%JVW4n78'X%3tJ,P:¸,PB 7W4G>P%QIJAi%JV=6%+y]EQ,c=G%J*%JAi,;V80kRQ%JVW,P*#RQ,/>PVWEQu;0(')46,;:m78%+b'UEF780(>;4@%JB :
RF,;ji,;:h7W,;:Q,PV&,;:)>;EQ,P:m7w0\,P*-78,9.Q,;>w.Q%\A10(V80:Q%')%5RQ46{Q>@0(Vr,;=Üç*W46tJ:Q%QÜ]RQ,L=G%J*rAi,;*-%J*&RQ,3=K0(*r*-4G:10(AF*W4G*Po
0(V80h0(=GtJEF:10(*L,¾-,;>PEQ>;46%J:Q,P*RQ,;=0(=Gt(%JVW4n78'X%Xt(,;:¸,NB 784G>P%h*-,U.10h,P*-7w0kjQ=G,P>;4GRF%h=K0X:10k7WEQV80(=6,;u;0hRQ,\>;0(R10
:F,;EQV-%J:10\RQ,3=K0VW,PRCI?,P:=GEFtm0(VrRQ,9.Q0(>;,PVW=G%A10(VW0>@0kR10\*W46:10(AQ*-4G*Po ,3,P*-780\'h0k:Q,;VW0FI]>@0(R10:Q,;EQV-%J:10
,P:}=G0lVW,PRÍ^[4G:QRF46254GRQEF%]g7W4G,;:F,EQ:10:10k7WEQV80(=6,;u;04G:Q.Q46jQ4GRF%JV80^¼bJIrAi%JVU7w0(:m7W%QI#78%5R10(*<=K0k*U*W46:10(AQ*-4G*
y]EQ,,;*O7w0(jQ=6,;>P,*-%J:l46:Q.Q4GjF4GRQ%JVW0(*wgz%),SMF>P46780(RQ%JVW0FI1bv,;*-780):10|78EQVW0(=G,Pu@0<:Q%h>;0('UjQ4G007WV80@2r,;B *9RF,=G0(*
t(,;:Q,PV80(>P4G%J:Q,P*;o ,'h0k:Q,;VW0h.Q,;EFV@DB *O7846>@0)*-,U.10hRF,P78,PVW'X4G:10kRQ%y]EQ,U>P%J:EQ:Þ( RF,U:Q,;EFVW%J:10k*+RQ,
:Q0k78EQVW0(=G,Pu@0v4G:Q.F4GjQ46RQ%JV80,P:"=G0dV-,;R"*-,)>P%J:Q*-4GtJEQ,XEQ:'h0@bJ%(Vq:9EFB '),PVW%vRQ,h*-,;'X4G=6=K0(*+*-4GtJ:F46{1>;0k784n2(0k*
^[y]EQ,9tJ,P:Q,;VW0(:h>P%JVWV-,;=G0(>;46%J:Q,;*r*-4GtJ:Q4n{1>@0|78462k0(*,;:m78V-,9_a`b_xeNgSo#p#*-78,L:9EQB 'X,;V-%q>P%J4G:F>;4GRF,L>P%J:h,P=ÀAf%JV¾
>P,;:m7w0T-,RQ,h46:Q.Q46jQ4G>P4T%JB :s,;:F>;%J:m78VW0(RQ%,P:=K0d>;%JVO78,Pu@0>P,;V-,;jQVW0(=¶I#0kEQ:Qy]EQ,hRF4G>w.Q%Ai%JV->;,;:m780-,)2k0(V;DB 0
*-4GtJ:F46{1>;0k784n2(0k'),P:]7W,+RQ,EQ:10k*LV-,;tJ46%J:Q,P*30<%(7WV80(*që 0(jQji%(7W7L0(:FR?%(')%Jtkb?4ßIxT(íJäkôßo
p#:s>@0(RQ0htJ,;:F,;V80k>;4T%(B :RQ,;=0(=GtJ%(VW467W')%tJ,P:¸,PB 7W4G>P%QIf7W%?RQ%(*9=G%(*94G:FRQ46254GRFEQ%J*L*W,<,P2k0(=kE1B 0(:lAQ0(V80hRF,N
7W,;V-')46:10(V/*-Ev2k0(=64GRQ,Pu(o 0(V80<,P=G=G%FIF>@0kR10<tJ,;:Q%('h0URQ,N78,PVW'X4G:10U=G0U>;%J:F{QtJEQV80k>;4T%(B :RQ,EQ:10<VW,PRd>PEFbm0
*-4G'UEF=K0(>P4T%JB :d%JVW46tJ4G:Q0XEQ:F%J*+RQ,N78,;V-')46:10(RQ%(*L7WVW,;:F,;*RQ,URF4G*WAQ0(VW%),;:=K0k*3:Q,PEQVW%(:10(*+_`Ybl_feTo+´0h*W4
'\EQ=K0(>P4T%JB :RQ,L>@0kR10V-,;R*-,3RQ,N7846,;:Q,3>;E10(:FRQ%\*-,9>;%(:Q*W46tJEQ,;:Þ?oéJJRQ4G*-A10(VW%(*¸RQ,L_xeTI]%jQ4G,P:h>;EQ0(:QRQ%
*-,Y.10(:X>;%J'XAQEF780(RQ%qÞ(J?oJ(+A10(*W%(*zRF,L*-4G'UEF=K0(>P4T%JB :Co³A10(VO7846VRQ,Y=G%J*78VW,P:Q,;*zRQ,YRQ46*WA10(V-%RQ,Y,;*O7w0(*
RF%J*&:Q,PEQVW%(:10(*;I?*W,+t(,;:Q,PV80\,P=f>P%JVWV-,;=G%(tJV80(')0>;VWEFu@0(RQ%\RQ,9RQ46*WA10kVW%J*zb)*-,9>;0(=G>PEQ=K0q=K0RQ4G*O7w0(:Q>P4K0q>;%J:
EF:>;%JV-VW,P=G%JtJVW0(')0'X%J:Q%(*W4G:c0(B AF7846>;%q,NM?>;4n7w0(RF%JV¸RF,9VW,NZ[,;V-,;:Q>P4K0^¼2r,;B 0(*W,3{1tJEQVW0U?oéHmgNopr*O7w0\RF4G*-780(:Q>P4K0
RF,P78,PVW'X4G:10=K02k0(=64GRQ,PuhRQ,P=&4G:FRQ46254GRFEQ%Q>;E10k:]7W%s'h0@bJ%(V\,;*<=G0lRQ46*-7w0k:Q>;4G0FI'X,;:Q%JV,;*<=G02k0(=G46RQ,;uko
p#:,;*-7W,,;*-7WEQRQ46%QIÀ*W,.10(:d=G=6,P2k0(RQ%0>@0(ji%X,¾-,;>PEQ>;46%J:Q,P*3RQ,P=0(=Gt(%JVW4n78'X%UtJ,;:¸,PB 7846>;%,;'XAQ=6,@0(:QRF%QI1,;:
RF46Z[,;V-,;:m78,P*Y,;:Q*W0Tb(%J*;IÀ=G0(*&78V-,;*cZ[EQ:Q>P4G%J:F,;*cRQ,RQ46*-780(:Q>;4G0U,;:m78V-,>;%JV-VW,;=6%JtJVW0('h0k*&4G:m7WVW%5RQEQ>;46R10(*/,P:v=K0
*-,;>P>;4T%(B :?o Þ5cRQ4G*O7w0(:Q>P4K0X,;EQ>P= DB RF,@0FIiRQ4G*O7w0(:F>;4K0X,;EQ>P= DB RQ,@0X,;:=K0XVW,PtJ4T%JB :RQ,;=aAQ46>;%'X%J:Q%J*-4G:Y0kB AF7846>;%b
RF4G*-780(:Q>P4K0(*c,P:]7WVW,2J,P>P78%(VW,;*LRQ,>@0kV80(>N78,;V-4Gu;0(>;4@%JB :vRQ,=G%J*c>P%JVWV-,;=G%(tJV80(')0(*Po
p#=1'~,PB 78%5RQ%+RF,L*-,;=6,;>;>P4T%JB :<,P')AF=G,@0kRQ%,;:,;*O78,Y,;*O78EQRF4G%,;*#*-4G'X4G=K0kV0(=?AQVW%(AQEQ,;*O78%q%JVW46tJ4G:Q0(=G'X,;:m78,
,P: ó %J=G=G0(:QRdëèTmæJ|ôßor$/0(RQ0q46:QRQ462546RQEQ%7846,;:Q,YEQ:10AQV-%Jj10(jQ46=G46R10(R<RQ,Y*W,PV¸*-,;=6,;>;>P4G%J:Q0(RQ%qy5EF,9,;*zAQV-%k
Ai%JV->;4G%(:10(=f0U*WE2k0(=G46RQ,;uko %JV&%(78VW0UA10(V-7W,(IF780('UjQ4N,;B :*-,.10(:=G0(:Qu@0kRQ%U,¾-,P>;EQ>P4G%J:F,;*YRQ,;=C0(=GtJ%(VW467W')%
t(,;:¸,NB 784G>P%v,;:=K0(*+y]EQ,X*W,.10,P')AQ=6,@0(RF%EQ:10v,;*-7WV80k7W,;tJ4G0,;=6467846*-780h>;%J:F*W4G*O78,P:]7W,),P:AQ0(*80(VRF4GVW,P>P780|
'X,;:m7W,h0d=K0v*W4Gt(EQ4G,P:]7W,tJ,;:Q,PV80(>P4T%JB :xI*-4G:":F4G:QtJEF:10d'\EF7w0(>P4T%JB :,;:*WEt(,;:Q%J')0FI,;=z4G:FRQ46254GRFEQ%v>;%J:
')0@bJ%JVY2k0(=G46RQ,;uRF,\=K0<Ai%JjQ=G0(>;4@%JB :d0(>P7WE10(=¶îÀ,P=aV-,;*O78%hRF,=G0XAi%JjQ=G0(>;4@%JB :v,;:l=G0Xt(,;:Q,PV80(>P4T%JB :d*W46tJEQ4G,P:m78,
*-,%JjF7846,;:Q,9>;VWEFu@0(:QRF%)=6%J*/4G:FRQ46254GRFEQ%J*&*-,;=6,;>;>P4G%J:Q0(RQ%J*c>P%J:vEQ:10<AQVW%(j10(jQ46=G4GRQ0(RhAQV-%JAi%JVW>P4G%J:10k=C0U*WE
2k0(=64GRQ,Pu(o
0(V80q,;=À>;V-EQu@0('X4G,P:m78%QI],;:),;*O78,Y78V80kj10-%q*W,L.10(:hRF4G*W, :10(RQ%RQ%J*r2J,PVW*-4G%J:Q,P*&RQ,L,;*O78,3%JAf,PV80(RF%JV#b
*-,c.10(:<=G0(:Qu@0kRQ%RQ46Z[,PVW,P:]7W,;*#,-,;>;EF>;4G%(:Q,;*#A10kV80+>@0kR10+EQ:10+RQ,c,P=G=G0(*;o %JVEQ:=K0(RQ%FI(*W,c.Q0+,;'XAQ=G,;0(RQ%
ªq
po
D}
æJÞ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
EQ:"'~,PB 7W%?RQ%dRQ,X>;V-EQu@0('X4G,P:m78%dy5EF,h>;%(:Q*W46*-78,X,;:tJ,;:F,;V80kV>;0(R10t(,;:"RF,;=rtJ,;:F%J'h0vRQ,P=¸46:QRQ462546RQEQ%
.Q4Ý-%U>P%JAQ4G0(:QRQ%<,P:
,PB =x,P=CtJ,;:v>P%JVWV-,;*WAi%J:QRF4G,;:m7W,RQ,EQ:Q%RQ,=6%J*&RQ%(*cA10(RQV-,;*;I1*-,;=6,;>;>P4G%J:Q0(RQ%0(=6,@0k7W%k
VW4K0k'),P:]7W,^[>;%J:UEF:10+AQVW%(j10(jQ46=G4GRQ0(RRF,+ JÞ3AQ0(V80+0k'Ujf%(*A10(RFVW,;*8gNo .97WVW%+'~,PB 7W%?RQ%3RQ,/>PVWEQu;0(')46,;:m78%
,;'XAQ=G,;0(RQ%X,;:,P*-78,,;*O78EQRQ46%h>P%J:Q*W46*-7W,\,;:tJ,;:F,;V80kV9>@0kR10)tJ,P:lRQ,P=46:QRQ4n2?46RQEQ%X.Q4Ý-%>P%J')%)EQ:2k0(=6%JV
>;%J'XAQVW,P:QRQ46RQ%\,P:,;=x46:m78,;VO2k0(=G%qy]EQ,+254G,;:F,9R10(RF%UAf%(V&=G%(*z2k0(=6%JVW,P*&RQ,+,P*W,+t(,;:,;:h>@0(R10UEF:Q%URQ,+=6%J*
4G:QRQ4n254GRQEQ%(*A10(RQV-,;*Po#´0>P,;V->@0(:CDB 0+RQ,;=Q2k0(=6%JVRF,c,;*W,YtJ,P:),P:,;=Q46:QRQ462546RQEQ%+.Q4 -%0(=F2k0(=6%JVRQ,Y,P*W,YtJ,;:
,;:EQ:Q%E%(7WVW%UAQ0(RQVW,*-,RQ,P7W,;V-')46:10\RQ,+')0(:Q,PV80<0(=6,@0k7W%JVW4G0Fopr:v=G0{1tJEQVW0?onÞ*W,'\EQ,;*O78V80k:d=6%J*
,;*Wy]EQ,P'h0k*zRF,YZ[EF:Q>;46%J:10('X4G,P:]7W%+RQ,Y>@0kR10EQ:10RQ,Y,;*O7w0(*#2J,PVW*-4G%J:Q,P*rRQ,;=1%JAi,;VW0(RQ%JV#RF,c>;VWEFu@0('X4G,P:]7W%Qo
ñ
A
progenitor 4,5
B
3.2
−3.1 1.4
−1.1 ...
4,5
0.6
−3.1 1.4
−2.2 ...
progenitor 3.3
0.6
−4.1 0.7
−2.2 ...
descendiente
progenitor 4,5
3.2
−3.1 1.4
−1.1 ...
4.1
1.1
−3.7 0.8
−2.0 ...
progenitor 3.3
0.6
−4.1 0.7
−2.2 ...
descendiente
üößòý ý/4GtJý-ùOù-EFþ ù¾V8úû-0X|ø /úøP?üTonýû+Þ?ýWÿß&ö û3¶õiýfý ö\üTý |ý cøý cø/ý/ý-üTþ¶ùOøaý øPø üøý-|ø ùOP¶úéýûNû \þ¶|úøø üT/ú÷|ý 1øSý þú |øaßüTù-û3ú øN@üTüúü ýø ?|NûûNý ÷(|ýO?ú þ[õøNûüTößûPý¸þCûSüù-ýzøNßúù¾üý þ ø ýcN-ýø ø3¸/ú÷|üTéýøSý þ@߶ú úû|þ#xüTüTú õ ;ý ú ü Plý û \ößý üTú [ý ûößýxýWö ûû ¶þ¶ø¶úéýû ßþ¶ýfû3ý ø[÷|ý ÷|/÷øPøSüTþ þ¶ßýúû þ
÷(üýûNþûPýWö öû;Nöý |üTý-ûPöiö ùOPûNý þ¶þßýWýWöö÷(û küTúéý ßý-öfüTý ûPöxüTû;öÀ÷|øPüTþßýWö @ù¾û /û wø éûPþfù¾û /÷þßý |üTú üTûzý Yý (ú ¶ýOþ wø û¸üTý ßýOþ /ú køNüTû
p#=f%JAf,PV80(RF%JV¸RF,+'UEF780(>;4@%JB :)*-,0(AQ=64G>;0qRQ,P*WAQE¸,;B *cRQ,+V-,@0(=64Gu;0(Vr=G%J*z>;V-EQu@0('X4G,P:m78%J*¸,;:>@0kR10\tJ,P:Q,N
V80(>P4T%JB :Co´%J*#4G:QRF46254GRQEF%J*VW,P*WEQ=n7w0(:m7W,;*rRQ,Y=G%J*#>PVWEQu;0('X4G,;:m7W%J*#*W%J:X'UEF780(RQ%J*#>P%J:EQ:10RQ,P7W,;V-')46:10(R10
AQVW%JjQ0(jQ4G=64GR10kRCo´0'UEF780(>;4@%JB :)>P%J:Q*-4G*-7W,3,P:h'X%?RF46{1>;0(VrEQ:hRQ,N78,PVW'X4G:10(RF%qAi%JV->;,;:m780-,9RQ,3=G%J*rtJ,P:Q,;*
RQ,;=/46:QRQ4n2?46RQEQ%Qo³ *WE2(,;u(I¸>@0(RQ0tJ,;:y]EQ,*W,v'UEF780*W,v'X%?RQ4n{1>@0,;:~EQ:10>@0k:]7W4GR10kRy]EQ,,P*-710 B
A10(V80k'),N78VW46u@0(RQ0h,;:s,;=0(=GtJ%(VW467W')%)tJ,;:¸,PB 7846>;%bly5EF,XRF,;ji,X')0(:m78,P:Q,;V*-4G,P')AQV-,U=G%(*92k0(=G%JV-,;*+RF,X=6%J*
tJ,;:Q,P*3RF,;:m78V-%hRQ,q=G%J*cVW0(:QtJ%(*LAFVW,P2546*-78%(*3A10kV80>@0(R10A10(VQ0(B 'X,P78V-%<{1*W46%J=T%JB t(4G>;%\%X7W%JAf%(=T%JB tJ46>;%d^¼2r,;B 0(*W,
*W,;>P>;4@%JB :5o6gSo
&¶ ; _ ¿
d> º·ê > d¶ O y ¼
>KO §
4 ; ~ "æ¹
; ;
¹ > ³I
>
µ´ '²;
~¨;D£°f¥r¤ ¦)¨
V¸
µ´
±b°Ç¬º¦ µ±§°f¥r¤ ¦)¨
¤&¨;¤b¥r¤b°f±
> ä ½³ § " §¼ &
f
" y ¹
O µ ¼
KO &
> d d &$ %J')%<*-,.10U>;%('),P:]780(RQ%<,P:d=G0\*W,P>;>P4T%JB :d0(:m78,PVW46%JV;I?=K0UAi%JjQ=K0k>;4T%(B :h4G:F4G>;4G0(=ÀRQ,;=C0(=GtJ%(VW467W')%qtJ,P:&,PB 7W4G>;%
AQEQ,;RF,+tJ,;:F,;V80kVW*W,+0\A10(VO784GVzRQ,+EF:10\*W,P')46=G=G0%(jF78,P:Q4GR10RQ,9')0(:Q,PV80\0k=G,@0|78%JV-4K0Fo´a0q*W,P')46=G=K0>;%(:Q*-7W4n
78EFb(,UEQ:10h>P%J:F{1t(EQV80(>P4T%JB :lRQ,\V-,;Ry]EQ,Ut(,;:Q,PV80EQ:>P%JVWV-,;=6%JtJV80k'h0FI1,P:m78VW,\RQ%J*9:F,;EQV-%J:10(*+_`Ybd_xeTI
y5EF,d>PEQ'XAQ=G,=6%J*U>PVW467W,;V-4G%J*URF,d*-4GtJ:F46{1>;0(>;4@%JB :,;*O7w0(jF=G,;>P4GRQ%(*<,;:~,;=/>;0(ADB 78EQ=6%sHFo 0(V80RQ4nZ[,;VW,P:m78,;*
æ(H
m© ª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
:9EFB '),PVW%J*#RQ,c:F,;EQV-%J:10(*rbURQ46*-7W4G:m78%J*#Ai%JV->;,;:m780-,;*zRQ,Y:Q,;EFVW%J:10k*z46:Q.Q46jQ4GRQ%(V80(*,;:X=K0+VW,PRCI],;*rAQV-,;>;46*W%
t(,;:Q,PV80(VX*W,P')46=G=K0k*<0(=G,;0k78%(VW4K0k*URQ4G*O7846:]780(*;I¸y]EQ,*-,;VO2?46V10(B :A10(VW0t(,;:Q,PV80(VX=K0Ai%JjQ=K0k>;4T%(B :46:Q4G>P4K0(=¸,;:
RF46Z[,;V-,;:m78,P*3,-,;>PEQ>;46%J:Q,;*YRQ,P=a0(=GtJ%(VW467W')%tJ,;:¸,PB 7846>;%Qo
0(RF%EQ:>;%J:-EQ:m78%dRQ,)*-,;'X4G=6=K0(*+%(jF78,P:Q4GR10k*qRF,)')0(:Q,PV80v0(=G,;0k78%(VW4K0?IA10(V80vEQ::+EQB 'X,;VW%v>P%J:?
>PVW,N78%RQ,v:Q,;EQV-%J:10(*bEQ:Ai%JVW>P,;:m7w0-,vRQ,N78,PVW'X4G:10(RF%RF,d:F,;EQV-%J:10(*4G:F.Q4GjQ46RQ%JVW0(*U,;:=K0V-,;RCIz,;*
:F,;>;,P*80(V-4G%V-,@0(=64Gu;0(V3EF:AQVW%5>;,P*W%RQ,>;=G0(*W4n{1>@0(>P4T%JB :AQVW,N254G%hy]EQ,\Af,PVW'X467w0)0(tJV-EQA10(V30(y]EQ,;=6=K0(*L*W,P')4
=6=K0(*&y5EF,tJ,P:Q,;VW0(:d>;%JV-VW,;=6%JtJVW0('h0k*/*W46')46=K0(V-,;*;opr=%(j5-,P7W462J%X,;*L>;%(:Q*W,PtJEQ4GVY=G0(:Qu@0kV/,¾-,P>;EQ>P4G%J:Q,P*3RF,;=
0k=GtJ%JV-467W')%ctJ,P:¸,PB 7W4G>P%+>;%J:\*W,;'X4G=6=K0(*y]EQ,¸AQVW,P*W,P:]7W,;:RQ4nZ[,;VW,P:Q>;4G0(**-4GtJ:F46{1>;0k784n2(0k*,;:m78V-,/*@DB IJ03:F462J,P=?RF,;=
>P%JVWV-,;=6%JtJV80k'h0y]EQ,UtJ,P:Q,;VW0(:Co$&%(:,;*-7W%QIx*-,UAQV-,P78,P:QRQ,Uy]EQ,\,;=,P*WA10k>;4G%hRQ,\j9EQB *-y]EQ,;R10*-,UVW,P>;%JV-V80
>P%J:=K0X'h0@b(%JV+0('XAQ=64678EFRAi%J*W46jQ=G,kIx,N2?4n7w0(:FRQ%=K0XVW,;0(=G46u@0(>P4T%JB :dRQ,Uj9EQB *-y]EQ,;R10k*VW,;RFEQ:QR10(:m7W,;**W%(jQVW,
Ai%J*-4G>;46%J:Q,P*cRQ,;=,P*WA10(>P4G%XRQ,j+EQB *Wy]EQ,PR10'UEFb>P,;VW>;0(:10(*L,;:m7WVW,*@DB o
0(V80\>P=K0(*-46{1>;0(VzEQ:>;%(:|-EQ:m78%URF,9*W,P')46=G=G0(*r%JjF78,P:Q4GRQ0(*¸RF,+'h0k:Q,;VW0\0(=6,@0k7W%JVW4G0*-,9.10,;'XAQ=G,;0(RQ%
EF:0(=6tJ%JVW4n78'X%RQ,X>;=G0(*W4n{1>@0(>P4T%JB :jQ46:10(VW4G0j10(*W0(RQ%l,P:"V-,;RQ,P*\:Q,PEQVW%J:Q0(=G,P*\0(VO784n{1>;4G0(=G,P*>;%J:"0(AQVW,P:?
RF4Gu@0T-,d>P%J'XAf,N78467W462(%:Q%*-EQAi,;V-2546*80(RQ%Fop#*-7W,',PB 7W%?RF%RF,d>P=K0(*-46{1>;0(>;4@%JB :Z[EQ,dAQVW%(AQEQ,;*O78%Af%(VX,P=
0kEF78%JVXRQ,=K0AFVW,;*-,;:m78,l'),P')%JV-4K0^ -EF:]7W%>;%(:%(7WVW%J*)>;%m0(E?78%JV-,;*wg,;:·êa%JV-VW,l,N70k=¶o3ë@JJkôcb*WE
Z[EF:Q>;46%J:10('X4G,P:]7W%<jY0(B *-4G>;%*-,,SMFAi%J:Q,q0<>;%(:]7W4G:]E10(>P4T%JB :xo
5½ Nº ­ Nº / ½ i¿8½ (ºÁ -¹@½ W 1½N»º¼»ßº$ ´%J*z0(=6tJ%JVW4n78'X%J*a>;=T0kB *W4G>P%J*#RQ,L0(AQV-,;:QRF4Gu@0T-,L>P%J'XAf,N78467W462(%+:Q%q*WEQAi,;VO2?46*80(RF%ë VW0@bfIFTJíJFî(³9.10(=n7
,N70(=ßo6IaTJJ?îCì&EQ.F'h0(:F:s0(:QR ¤ EQ§ .Q:Q,P=¶IaTJJHFî %J:mbl0(:QR ó 0@b5ð]4G:CITJm|ôa78VW0k7w0k:RQ,U,;*O7w0(jF=G,;>P,;V
RF46Z[,;V-,;:Q>P4K0(*<b*-4G'X4G=64678EFRQ,;*,;:m78V-,=G0(*<'UEQ,P*-78VW0(*XRQ,vEQ:}>P4G,PV-78%>;%(:|-EQ:m78%QI¸RQ,d0(>;EF,;VWRF%">;%(:}=G0(*
(¿ N»½N¿ N»ßº RF,q,P*80(*Y'UEF,;*-7WV80(*Pozpr=x%Jj5-,P7W462(%XRF,,;*-7W%J*L0(=Gt(%JVW4n78'X%J*¸,P*c>;=G0(*W4n{1>@0(V&,;=>;%(:|-EQ:m78%
RF,'UEF,;*-7WV80(*34G:Q46>;4G0(=C0XA10(V-7W4GVPIQ,NM?>;=6EQ*W4n2k0('),P:m78,(IiRQ,P=2k0(=6%JVcRQ,>@0(R10EQ:10XRQ,q=K0(*Y>@0kV80(>N78,;V;DB *O784G>;0(*
RF,<>@0(R10'\EQ,;*O78V80?o\p#=AQV-%?>P,;*-%d'0(B *+46:m78EQ4n78462(%>;%(:Q*W46*-78,<,P:Z[%JVW')0(VL>;=K0k*W,;*RF,;Ai,;:QRQ46,;:QRF%dRF,<=K0
*-4G'X4G=64678EFR\RQ,Y=K0k*#'UEQ,;*O78VW0(*r,;:m78V-,L*;DB I]RQ,Y')0(:Q,;VW0+y]EQ,3*-,L0(tJVWEFA10(:>;%J:-EQ:m7w0('X,;:m78,kI?,P:)=G0+')46*W')0
>;0k78,PtJ%JV;DB 0FI=K0(*q'UEQ,P*-78VW0(*\y]EQ,hAQVW,P*W,;:m780(:~>@0(VW0(>P7W,;V;DB *-7W4G>@0k**-4G'X4G=K0kVW,;*Po %JV,¾-,P')AQ=6%QI*-4¸*-,AQV-,N
7W,;:QRF,q>P=K0(*-46{1>;0(V/EQ:d>;%(:|-EQ:m78%>;%(:Q*-7W4678EF4GRQ%<Ai%JVc*W,PVW,P*L.]EQ')0(:Q%(*\^[>@0(RQ046:QRQ4n2?46RQEQ%URF,;=>;%(:|-EQ:m78%
*-,;V;DB 0EQ:10)'\EQ,;*O78V80JgNIiAQEQ,;RF,>P%J:Q*W46RQ,;VW0(VW*-,\,P=aAi,;*-%)bd=K00(=n78EQVW0<RQ,\>;0(R10Af,PVW*W%(:10h>;%(')%=K0k*L>;0|
VW0(>P7W,;V;DB *-7W4G>;0(*&,P=G,;t(4GR10(*zA10(VW0\VW,;0(=G46u@0(Vz=K0q>;=G0(*W4n{1>@0(>P4T%JB :xo ,9,P*-780\Z[%JVW')0FI]>@0(RQ0\>@0k7W,;tJ%(V@DB 0qRQ,;ji,;V;DB 0
46:Q>;=6EQ4GVr0ky5EF,;=G=G0(*zAf,PVW*W%(:10(*&>P%J:h2k0(=6%JVW,P*¸*-4G'X4G=K0kVW,;*#AQ0(V80q,;=iAf,P*W%\bX=K0q0(=n78EQVW0Fo³3=f>P%J:m78V80kVW4G%qRQ,3=G%
y]EQ,&%?>PEQVWV-,&,;:<=6%J*0(=GtJ%(VW467W')%(*RQ,/0(AFVW,;:FRQ4Gu;0-,&*-EQAf,PV-254G*W0(RQ%QIm,P:U,;=?0(AQV-,;:QRF4Gu@0T-,/:Q%9*-EQAi,;V-2546*80(RQ%
,P=1AQVW%5>;,P*W%*W,L=G=G,N2k00q>;0(jf%*-4G:XVW,;>P4GjQ46V#4G:FZ[%(VW')0(>;4@%JB :<0(RQ46>;46%J:10(=?*W%JjQV-,3*-41=K0(*rRQ,P>;46*W4G%(:Q,;*#78%('h0(RQ0(*
Ai%JVc,P=0(=GtJ%(VW467W')%*W%J:0(RQ,P>;E10kR10(*L%X:F%Qo
,PAf,P:QRQ4G,P:QRQ%+RF,/*W45,;=?:+EQB '),PVW%LRQ,/>P=K0(*-,;*RF,;*W,;0(R10(*,;*>P%J:Q%5>;4GRF%9RQ,c0k:]7W,;')0(:Q%3%+:Q%QIk,NM?4G*O78,;:
RF46Z[,;V-,;:m78,P*z0(=GtJ%(VW467W')%(*ay]EQ,YtJ,P:Q,;VW0(:EQ::+EQB 'X,;VW%+2k0(V-4K0(jF=G,&RF,c>;=K0k*W,;*#RF,;Ai,;:QRQ46,;:QRF%qRF,;=1>;%(:|-EQ:m78%
À
ø
t ¿Nº¼» úAþ
ö ©ùþ,úü "ùFú~ù fÿ ø
úüúrö
øÇú
ø)ö Oú
©ù
po
ùFú ú~ù
ÿ ü dùFúü
æk
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
RQ,'UEQ,;*O78VW0(*\0>P=K0(*-46{1>;0(V;o %JV,¾-,;'XAQ=6%QI=G%J*0k=GtJ%JV-467W')%J*3RQ,X0(AQV-,;:QRQ46u@0-,>P%J')Ai,P7W467W462J%AFVW,;>P4n
*80(:s>;%(:Q%?>P,;VRQ,0k:]7W,;')0(:Q%,P=:+EQB 'X,;VW%hRQ,>@0k7W,;tJ%JV;DB 0(*3,;:s,;=y5EF,X*-,<RQ,;ji,RQ462546RQ4GVL,;=>P%J:|-EQ:m7W%
RQ,'UEQ,P*-7WV80(*PI#')46,;:m78VW0(*\y]EQ,%k78VW%(*U0(=6tJ%JVW4n78'X%J*;Ia>;%(')%,;=/0k=GtJ%JV-467W')%v³+Ûê&OÞëç$/0(VWAi,;:m7W,;V0(:QR
V-%J*W*-jf,PVWtQI?TJímæ|ôßIJ,P=Q:+EQB 'X,;VW%3RQ,c>;=G0(*W,P*#*W,cRQ,N78,PVW'X4G:10FIkRQ,/Z[%JV-'h0946:QRQ46VW,;>N7w0FI(0+A10(VO784GVRQ,c>;46,;VO78%J*
A10(V10kB '),N78VW%(*c^Ai%JVa,¾-,P')AQ=6%QI(,P:<,;=F0(=GtJ%(VW467W')%c³9Ûê&OÞL,;= N» ¿ 5w½ $TÁº (º Nº Ai,;V-')4n78,¸0(=5EQ*WE10kVW4G%
0-EQ*-780(V;IiRQ,'h0(:F,;V804G:FRQ4GV-,;>P780FIÀ,;=a:+EQB 'X,;VW%XRQ,q>@0k7W,;tJ%(V@DB 0k*3%Jj?78,;:F4GR10(*L,;:l=K0>;=K0k*W46{Q>@0(>P4T%JB :ÀgSo µ %
%JjQ*-780(:m78,kIC,;=AQVW%JjF=G,;')0RQ,URQ,N78,;V-')46:10(VL>;%J:,SMF0(>P7W4678EFR,;=a:+EQB '),PVW%)RQ,U>;=G0(*W,P*s%JB AF7W4G'X%),P:>;E10k=n
y5EF4G,;Vz>;=G0(*W4n{1>@0k>;4T%(B :^[*W%JjQV-,+>;EQ0(=Gy]EQ46,;V80y]EQ,+*-,@0\,P=f>P%J:|-EQ:m78%\RQ,9'UEF,;*-7WV80(*zbX*WE:10|78EQVW0(=G,Pu@0mgSI?:Q%
,;*-710)B 0k>P78EQ0(=G'X,;:m78,V-,;*-EQ,;=n78%Qo
0kRQ%+EQ:U:9EFB '),PVW%9AFVW,;RF,P78,PVW'X4G:10kRQ%+RQ,/>P=K0(*-,;*PIJ,;=F0(AQVW,P:QRQ46u@0-,/>P%J'XAf,N78467W462(%3:Q%9*WEQAi,;VO2?46*80(RF%
>;=T0kB *W4G>P%AQEQ,PRQ,*W,PVq46')AF=G,;'X,;:m780(RQ%h*-%JjQV-,X=G0)78%(Af%J=6%Jt1DB 0XRQ,EQ:Q0VW,;R:Q,PEQVW%J:Q0(=#0(VO7846{Q>;4K0k=/^¼2r,;B 0(*W,
ó 0@b5ð546:~ëèTJ((ôßIxy]EQ,\AQVW,P*W,;:m780EQ:>;%J'XAi,;:QRQ46%hRQ,\=K0(*LVW,PRQ,;*+:F,;EQV-%J:10(=6,;*0(VO784n{1>;4G0(=G,P*wgNIÀ>P%J')%)=K0
y5EF,q*-,,;*-y5EF,;')0k7846u@0<,;:d=K0{QtJEQV80X?onTHFor´0<0(V-y]EQ467W,;>P7WEQV80<RQ,=G0UVW,PRd*-,;V;DB 0<=K0U*-4GtJEQ46,;:m78,k>;%(:Q*-780
*1%JB =6%)RQ,qRQ%J*L>@0kA10(*;Ii=K0<>;0(A10)RF,,P:]7WV80(RQ0Xbv=K0>@0kA10)RQ,q*80k=G4GRQ0FIQ*W46:ly]EQ,q,NM?4G*O7w0(:>@0(AQ0(*3%5>;EF=67w0k*;î
=K0v>@0(A10RQ,h,P:]7WV80(RQ0l,;*O7À0lB >P%J')AFEQ,;*O7w0lRQ,)_:Q,PEQVW%(:10(*;I*W4G,P:QRQ%_,;=z:9EQB 'X,;V-%RQ,)RQ4G'X,;:F*W4G%(:Q,;*
RQ,;=#,P*WA10(>P4G%vRQ,<78VW0(j10-%Fîa=G0>@0(AQ0vRF,X*W0(=G46R10>;%(:Q*-780vRF, :Q,;EFVW%J:10k*;IRQ%J:QRF, ,;*,P=#:+EQB '),PVW%
RQ,>@0k7W,;tJ%JV;DB 0(*9y5EF,)RQ,Pjf,P:,P*-780(jQ=G,P>;,PVW*W,)0A10(VO784GV9RQ,;=#>P%J:|-EQ:m78%dRQ,'UEQ,P*-7WV80(*RQ,,;:m7WV80(R10d0=K0
VW,;Rxo ,,P*-7w0v')0(:Q,;VW0FI>@0kR10d:F,;EQV-%J:10vRQ,=K0>@0(AQ0vRF,)*W0(=G46R10,;*O7À0vB VW,;=G0(>;46%J:10(RQ0RQ4GV-,;>P780('X,;:m78,
>;%J:EF:10h>@0|78,;t(%JV@DB 0FoL´a0)>;%J:Q,P>P7W46254GR10kRl,;*378%(780(=bl.10k>;4K0)0(RQ,P=K0(:m78,kIf,P*+RQ,P>;4GVPIf>;0(R10h:F,;EQV-%J:10hRQ,
=K0)>;0(A10hRF,\,;:m7WV80(R10>P%J:Q,P>P7w0)>;%J:7W%?R10k*9=K0k*3:Q,PEQVW%(:10(*+RQ,=K0X>@0(A10)RQ,U*80k=G4GRQ0FIÀ*W4G:ly5EF,U,NM?4G*O7w0(:
0(EF78%|>;%(:Q,NM?4G%(:Q,;*X^[>;%J:Q,SM?4G%J:Q,P*RQ,<=K0(*:F,;EQV-%J:10(*>P%J:Q*W46tJ%v')46*W')0(*wgSo\´%J*+2k0(=6%JVW,P*+RQ,=G%(*+Af,P*W%J*
RQ,\,P*80(*3>;%J:Q,SM?4G%J:Q,P*+A10(VW0)>;0(R10):F,;EQV-%J:10hRQ,*80(=64GR10>;%(:Q*-7W4678E?bJ,;:,P=AQVW%(7W%(7846Af%XRQ,=K0>;=K0k*W,\y]EQ,
VW,;AFVW,;*-,;:m7w0RQ46>w.10":Q,PEQVW%(:10Fo ,,;*O7w0Z[%JV-'h0?I/A10(VW0">@0(RQ0":Q,;EFVW%J:10RQ,l*W0(=G46R10FI/=6%J*)Ai,;*-%J*RQ,
=K0(*<>P%J:Q,NM?46%J:Q,;*Xy]EQ,d=G=G,Ptm0(:~0s,;=6=K0VW,PAQVW,P*W,P:]780(:·EQ:AQV-%(78%(7W4GAi%sRQ,v>;=K0k*W,(o :Q46>;4K0k=G'X,;:m78,kIz,P*W%J*
AQVW%(7W%(7846Af%(*^Ai,;*-%J*wgcAf%5RQV;DB 0(:v0(RF%JAF7w0kV/2(0k=G%JV-,;*Y0(=6,@0k7W%JVW46%J*;o
´0hRF4G:Y0(B 'X4G>;0XRF,U=K0XVW,;R,P*+>;%(')%)*W4Gt(EQ,(c78%5RQ%J*3=K0(*L'UEQ,P*-7WV80(*+RF,;=>P%J:|-EQ:m7W%v0h>;=G0(*W4n{1>@0(VL*W,
AQVW,P*W,;:m780(:0)=G0<VW,;RxIi2k0(V-4K0(*/2(,;>;,P*+>@0kR10)'UEF,;*-7WV80bv,;:l%(VWRQ,P:0(=6,@0k7W%JVW46%QîQ>;EQ0(:QRQ%)EQ:10)'\EQ,;*O78V80
*W,vAQVW,P*W,P:]780FIz>@0(R10EQ:Q0sRF,d=G0(*U_
:Q,PEQVW%(:10(*RQ,,;:m7WV80(R107W%J'h0,P=&2k0(=G%(VURQ,=K0>;0(V80k>P78,PV@DB *-7846>@0
>;%JV-VW,;*-Af%(:QRQ4G,P:m78,qRQ,=K0(*c_s>@0kV80(>N78,;V;DB *O784G>;0(*YRQ,y]EQ,>P%J:Q*O7w0=K0<'UEQ,P*-78VW0Fî1A10(VW0<>@0(R10:Q,PEQVW%J:Q0XRQ,
*80(=64GR10h*-,>@0(=6>;EQ=G0*WE2k0(=G%JV9RQ,*80(=64GR10FI Fâ IRQ,0(>PEQ,;V-RQ%>P%J:s=K0,P>;E10(>P4T%JB :?onJI*-4G,;:FRQÃ% ÂÅÄWâ/b ÆVÄ
=G%J*3Af,P*W%J*^[AQVW%k78%(7W4GAi%J*wgcbl=G0(*9>;0(V80(>N78,PV@DB *O7846>@0(*3RQ,U=K0k*9'UEQ,P*-7WV80(*PICVW,P*WAi,;>P7W462k0('X,;:m78,kIxb*W4G,P:QRQ%_
,;=:9EQB 'X,;V-%<RQ,>@0(VW0(>P7W,;V;DB *-7W4G>@0k*c,NM578VW0QDB R10k*LRF,q>;0(R10'UEQ,P*-78VW0Fo
e
Fâ ÈÄÉfÇ ` ÂÅÄWâ ÆVÄ ÈÄÉfÇ ` Â Þ ÄWâ
^¶?ong
´0:Q,;EFVW%J:10>;%(:h,;=Q2k0(=6%JV#'0(B *z0(=67W%A10(V80 Fâi,;*z>;%J:Q*-4GRQ,PV80(RQ0=K0 x½ 5¿ ¿ (op#*-7W%\,;*
o
2÷>ú~ù
Iö
9þ,úAø4ù bú
ås
ås
Ñ
Õ
Õ Çz
Õ
©ø ý
ø)ú rúAø)úrö
Fú
©mª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
æJ
Capa de entradas
(n neuronas)
x1
w 11
w 21
x2
w 12
Capa de salida
(2 neuronas)
w 22
w n1
w n2
xn
Pesos
(prototipos)
ù¾òû û\4GktJöö EQøVW÷(0ýOüTþ ý ?@úonö¶TøN|HFüTøq+û ùOQõiøS÷|ö÷køSøþ|ø ýüTcøýYLý üT¶ýþ¶ÿ øP/ýüø3Oø+þ¶øNûù¾þ û ü|/÷øNú ßüTýW|û\ù ý-öüT¶ý9þ¶ø+øLù-÷(øüTûN¶ý þý NûP|þ8ø3ÿ øPý þßö#ýWþ¶üüTû ý9|øPýö¶øö Fþßú û üö|úø ý ø |Qüý øSûXþ ßhýWú kö ¶ýùOý3úø ù-QøNÿùOöß&ýû û q-ÀþßüTøNû÷û;üö¸þ¶ý ýLù-|ø ùOüTßøNú ý -þ¶NøøPûP[ù ý¸þWßÿý-øNùOþ8öû ÿ ö /÷ßú kùO5ýøPßøö ú ßþßú NýWüûý
ßý-úö ý |ý+ý cøùOøPüø ?üTý cøý-ö ß|þ øqýOþ üTø ý ù¾ýYû ökû ÿ ûßöûUýcøqýWö ù ø øNößú ý-kùOùOýOøNþ(þ ø ÿ U5üTøûPözùOøNùO÷|ø ¶øqý PüTûNý+þ8ÿö¶øPø öaúüTüýøßö|þ¶û ÿ ûéûüTú ý kiù ùOû Ný9üTûP¶ûö ý5ûPþßö û |Pý-øNùö ¶ûN÷|þ¶ý-øNöDþ¶øqÊ ý-ö ßý
Ê rË VÌ
øPöù øNößý-ö |þßýWö÷(;ý-ùþßý-ßú÷8þßø ýW/ýöý ¶ßø ý éû;ö wø ûNþ¶ý-öxüTý øPö ùOøSþ øNù ßý-þWÿ ö ßú ùOøNöÀ÷|øSþ ø ûPöx÷þ¶û ßû ßú÷kû;ö ýþ¶ýO÷þ¶ý-ößý ¶ø
d>
&
d
2¹
§
I
Á6 b
d> ¹ B l
¹
´
É >]>N N
Yc
¹
]
M
"
d
\ ¼§
y
¹
>
d
b
§ K
) "
Á > & ¶ ¼
»
§
¹
»
Â
j
l
³´Ð ¹ \´ ) » b
¯
Â
>
G >
b
j
»
¼§>  YÞZ
µ )´
» b
º
_
>P%J:Q%5>;46RQ%h>P%J')%X=K0RQ46:Y0(B 'X4G>@0ÎÍÐÏ & ^9ͺ x½N¿ÃÏ WÑm½ & g¸
2r,@B 0(*-,<ò1,;=6RQ'h0k:"ëèTJíJÞ|ô¶oL&%JB =G%XEQ:10
:F,;EQV-%J:10ÜéRF4G*WAQ0(V80FÜ^,P*0(>P7W462k0mgY')46,;:m78VW0(*+y]EQ,<,;=VW,P*-78%vAi,;V-'h0(:F,;>;,hÜé,P:*-4G=6,;:Q>P4G%QÜno´0:Q,;EQV-%J:10
tJ0(:10(RQ%(V80VW,;AFVW,;*-,;:m7w0),;=AQVW%k78%(7W4GAi%<y5EF,\,;*O7À0B '·0kB *L>P,;V->@0(:Q%h0)=G0'\EQ,;*O78V80AQV-,;*W,P:m7w0(R10?IfEQ*W0(:QRQ%
=G0)RQ46*-780(:Q>;4G0X,PEQ>;=¶DB RQ,;0),P:,;=a,;*-A10(>;46%:? RQ4G'X,;:Q*-4G%J:Q0(=¶ocÃL:10X2(,;uUy]EQ,\,;=aAQVW%(7W%(7846Af%X*W,.10hRQ,N78,PVO
'X4G:Q0(RQ%QIq,;B *-7W,*W,h'UEQ,P2(,0l=6%l=K0kVWtJ%RQ,;=z,;*-A10(>;46%:?RF4G'X,;:Q*-4G%J:10k=#A10(V80y5EF,*W,0kAQVW%@M?4G'X,h0=K0
'\EQ,;*O78V80y]EQ,<*-,0(>@0kj10RQ,UAQV-,;*-,;:m7w0(V0=G0hVW,PRCoqp#='X%2546')46,;:m78%)RQ,;=AQVW%(7W%(7846Af%hA10(V80h0(>;,PVW>@0kVO
=6%d0d=G0d'UEF,;*-7WV80v4G'XAQ=G46>@0hEF:10'X%?RF46{1>;0(>;4@%JB :RQ,X=G%J*Ai,;*W%(*;Ia=G%d>;E10(=#>P%J:Q*O78467WEFbJ,),;=rAQV-%?>P,;*W%RQ,
0kAQVW,P:QRQ4Gu;0-,RQ,q=K0<VW,PRCIQbv*W,.10(>P,*-,;t&EQB :d=K0U,SM?AQVW,P*W4T%(B :lRQ,q=K0U,P>;E10(>P4T%JB :l?oÞ?I1A10(VW0X>;0(R10EQ:Q%XRQ,
=6%J*cAi,;*W%(Ò* ÂÅÄ-âRQ,=K0<:Q,;EFVW%J:10tm0(:Q0(RQ%JVW0 -o
9øfø
ú
þ9þ
çì
Ó ÂÅÄWâ_zÕÔ&^aÆVÄ ÂÅÄWâ¼gvmÖ×®»Z½]ªvà=à=àvL_b¾
ß^ ?oÞJg
p#=A10(VQ0(B '),N78V-%¢Ô~RF,q=G0U,;>PE10(>;4@%JB :l?o ÞU'X%?RFEQ=K0U=G0RF4G*-780(:Q>P4K0URQ,P=aAFVW%(7W%(7846Af%0<=K0<'UEF,;*-7WV80,;:
>;0(R10vAQVW,P*W,P:]780(>;4@%JB :CohÃ3:s2(0k=G%JV+46:Q4G>P4K0(=a7TDB AQ4G>P%A10(V80v,;*O78,XA10(VQ0(B '),N78V-%d,P*EF:Q%QIA10(VW0d=G0vAFVW4G'X,;VW0
2(,;u3y5EF,9*W,3AQVW,P*W,P:]780\EQ:10q'UEQ,P*-78VW0FI]RQ,9')0(:Q,PV80y]EQ,L2k0qRQ,;*->;,;:FRQ4G,P:QRQ%U=64G:Q,;0(=G'X,;:m78,c.Q0(*-780q2k0(=G,PV
>P,;V-%<,;:=G0}EQB =67W4G')0+AQVW,P*W,P:]780(>;4@%JB :RQ,+=G0'UEF,;*-7WV80Fo ,L,;*O78,'X%?RF%QI50(=f>P%J'X4G,;:Fu;%\RF,;=C0kAQVW,P:QRQ4Gu;0-,
RF,q=G0<VW,;Rd,;=AFVW%(7W%(7846Af%<tm0k:10(RQ%JVc*-,RF,;*WAF=K0(u;0X'UEF>w.Q%).Q0(>;4G0=G0U'UEQ,P*-78VW0XAFVW,;*-,;:m7w0kR10FIi')46,;:m78VW0(*
y]EQ,0(=x{Q:10(=RQ,P=AQVW%5>;,P*W%X,;*W,qRQ,P*WAQ=G0(u@0('X4G,P:m78%<,;*L'0(B *cAf,Py]EQ, :Q%Qo
D}
æ(ä
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
:F4G>;4G0(=G'X,;:m7W,(Ia=G%J*qAQVW%k78%(7W4GAi%J*AFEQ,;RQ,P:*W4n78E10(V-*W,),;:,;=z,;*-A10(>P4G%:? RQ4G'X,;:F*W4G%(:10(=#RQ,')0(:Q,PV80
0(=G,;0k78%JV-4K0FI]%<jQ46,;:RQ46*-7WVW4GjFEQ4GRQ%(*&0(=6,@0k7W%JVW4G0('X,;:m78,30(=GV-,;RQ,PRQ%JV/RF,;=x2k0(=6%JV¸AFVW%J'X,;RQ46%UA10(VW0\78%5R10(*/=G0(*
'UEQ,;*O78VW0(*;o#ÃL:102J,;uLy]EQ,L,;=QAQV-%?>P,;*-%\RQ,L0(AQV-,;:QRF4Gu@0T-,L.Q0{Q:10(=G46u@0(RF%X^[78%5R10(*#=G0(*#'UEQ,P*-7WV80(*r*W,L.10(:
AQVW,P*W,;:m780(RQ%v2(0kVW4K0k*92J,P>;,;*0=K0V-,;Rb*-,.10(:'X%?RQ4n{1>@0kRQ%=G%(*+Af,P*W%J**-,;t&EQB :s=K0k*+,;>PE10(>;46%J:Q,P*q?o6
bd?oÞJgNI?=G%J*cAQV-%(78%k784GAi%J*/*-,.10(jQVQ0(B :v')%T254GRQ%<Ai%JVc,P=C,;*-A10(>;46%)RF,+78V80kj10-%<b.10(jFV10(B :d0(=6>@0(:Qu;0(RQ%<*-E
Af%J*-4G>P4T%JB :+{1:Q0(=¶oa´0(*>@0k7W,;tJ%(V@DB 0k*C*W,rRQ,N{1:Q,;:RQ,r=K0/*-4GtJEQ46,;:m78,#')0(:Q,PV80F>;0(R10c'UEQ,P*-7WV80cRQ,;=m>P%J:|-EQ:m7W%
Af,PV-78,P:Q,;>P,<0)=G0X>P=K0(*-,>PEFbJ%hAQVW%(7W%(7846Af%X,;*O7À0hB '0(B *Y>;,PVW>;0(:Q%s^[*W,;t&EFB :=K0RQ4G*O7w0(:F>;4K0,;EF>;=¶DB RQ,@0JgY0X,;*W0
'UEQ,;*O78VW0FoÆp#*-7W,AQVW%5>;,P*W%RQ,0(tJVWEFA10('X4G,;:m7W%"R10">P%J'X%VW,P*WEQ=n7w0(RQ%"EQ:
:+EQB 'X,;VW%RQ,>;0k78,PtJ%JV;DB 0(*
AQVW,N{kW0(RQ%vRQ,0(:m7W,;')0(:Q%^,P=')46*W'X%y]EQ,<,;=#:9EFB '),PVW%RQ,<:F,;EQV-%J:10(*RQ,=K0)>@0(A10RQ,<*W0(=G46R10mgSo ,
.Q,;>w.Q%FIx,;=:9EQB 'X,;V-%)RF,:Q,PEQVW%(:10(*9RF,\=K0>@0kA10)RQ,*80(=64GR10<,P*9EQ:= DB 'X467W,+*WEFAf,PVW4G%(V3A10kV80),P=:+EQB '),PVW%
RQ,>@0|78,;t(%JV@DB 0(*\y]EQ,*-,Z[%JVW')0(:Co %?RFV@DB 0%?>PEQVWV-4GV\y]EQ,EF:10%'·0kB *\:Q,PEQVW%J:Q0(*<RQ,*80k=G4GRQ0:]EQ:Q>;0
*W,@0k::Q,;EQV-%J:10(*3tm0(:10kRQ%JV80k*9,;:l,;=AFVW%5>;,;*-%RQ,UAFVW,;*-,;:m7w0k>;4T%(B :RQ,\'UEF,;*-7WV80(*3bl0kAQVW,P:QRQ4Gu;0-,URQ,=K0
VW,;Rxo ,+,;*O7w0U')0(:Q,;VW0FI5:Q%<.10(jQVQ0\B 'UEQ,P*-7WV80(*c,P:,;=x>P%J:|-EQ:m7W%<y5EF,,;*-7?,;B :vVW,PAQVW,P*W,P:]780(R10(*YAi%JV&,P*80(*
:Q,;EQV-%J:10(*Yy]EQ,q:]EQ:Q>@0tm0(:Q0(:db=K0(*/>P=K0(*-,;*L>;%JV-VW,P*WAi%J:QRQ46,;:m78,P*3,P*-7w0kV10(B :CI1Ai%JV/780(:m78%QIF2k0(>(DB 0(*Po
ÃL:10+2J,Pucy5EF,L*-,c.10(:<>P=K0(*-46{1>;0(RQ%97W%?R10k*=K0(*'UEQ,;*O78VW0(*;Im>;0(R10>@0k7W,;tJ%(V@DB 03AQEQ,;RF,c*W,;V#>P%J:Q*-4GRQ,PV80|
R10\*W,PA10(VW0(R10('X,;:m78,ko ó 0@bXRQ%J*/A10kV10(B 'X,P7WVW%J*zy]EQ,4G:FZ[%(VW')0(:)*-%JjQV-,+=K0qjf%J:FR10(RRQ,3=K0q>;=K0k*W46{Q>@0(>P4T%JB :
VW,;*-EQ=6780(:m78,k
JoLp#=?:9EQB 'X,;V-%3RF,/'UEQ,P*-78VW0(*RF,&>@0kR109>;=G0(*W,+e^ 5½ x½N¿ èº 1gNoaÃL:109>;=G0(*W,¸>;%J:\'UEFbqAf%5>@0k*'UEQ,P*O
78VW0(*/Ai%?RQV;DB 0q:Q%<*W,PV/VW,PAQVW,P*W,;:m780k784n2(0?IQ')46,;:m78VW0(*&y]EQ,EF:10U>;=G0(*W,+>P%J:RQ,P'h0(*-4K0(RQ0(*&'UEF,;*-7WV80(*
Af%5RQV;DB 0U*W,PVYRQ,;')0(*W4G0(RQ%<tJ,P:Q,;VW0(=¶o
Þ?oL´0'X,;RQ4G0qRQ,3=K0RQ4G*O7w0(:F>;4K0RQ,3=K0(*r'UEQ,P*-7WV80(*¸RQ,9=G0q>P=K0(*-,+0(=ÀAQV-%(78%(7W4GAi%RF,3=G0>;=G0(*W,\^ Nº º èº ¡
» 1gNo#?4Q=K0+RF4G*-780(:Q>P4K09,P*z'\EFbUAi,;y]EQ, :Q0FIm=K0(*'UEQ,;*O78VW0(*#RQ,cEQ:10>P=K0(*-,c*W,;VQ0(B :'UEFb\*W4G'X4G=G0(VW,P*
,;:m78V-,\,P=G=K0k*;o %JV9%k78VW%X=K0kRQ%QI1EQ:d2(0k=G%JVL0(=n78%XA10(V80=K0'X,;RQ4G0XRQ,q=K0RQ46*-7w0k:Q>;4G0)0(=AQV-%(78%k784GAi%
4G:QRF4G>@0)y5EF,X'\EQ,;*O78V80k*q*-4GtJ:F46{1>;0k784n2(0k'),P:]7W,\RQ4nZ[,;V-,;:m78,P*q,P:m78VW,*;DB .10(:s*W46RQ%4G:F>;=GEF4GR10(*9,;:s=K0
')46*W')0\>@0|78,;t(%JV@DB 0Fo
%?RFV@DB 0<%5>;EQV-VW46Vcy5EF,q,P=0(tJV-EQA10('X4G,P:]7W%RQ,;*-,@0(RQ%X*W,;0h0(y]EQ,P=,;:d,;=y]EQ,q*W,Z[%JVW'X,;:v>;0k78,PtJ%JV;DB 0(*
y5EF,*W,s0-EQ*O78,P:Â0EF:Q%J*2k0(=G%(VW,;*)AQVW,PRQ,P7W,;V-')46:10(RQ%J*hRQ,*W46')46=G467WEQR~btJ,P:Q,;VW0(=G46R10(RCo p#*RQ,P>;46V;I
*W,;V;DB 0<RQ,P*W,@0kjQ=G,y]EQ,>@0kR10<>;=K0k*W,,;*O7?,B >;%J:F*-784n78EQ46R10UAi%JV/EQ:d:+EQB 'X,;VW%\RQ,'UEQ,;*O78VW0(*Yy5EF,q,P*-7?,qB ,P:m78VW,
EQ:'lDB :Q4G'X%b'·0B MF46')%:+EQB 'X,;VW%FIYby]EQ,s=K0"RQ46*-780(:Q>;4G0"'X,;RQ4G00(=9AQV-%(78%k784GAi%*-,@0'),P:Q%JVy]EQ,
EQ:2k0(=6%JV'·0B MF46')%,P*-780(jQ=G,P>;46RQ%RF,h0(:m7W,;')0(:Q%Qo)´%J*\0k=GtJ%JV-467W')%J*3RQ,)0(AQVW,P:QRQ46u@0-,X>;%J'XAi,P784n784n2J%
78V80kRQ4G>P4G%J:10k=G,;*hAQVW%5RQEQ>P,;:>@0k7W,;tJ%JV;DB 0(*y]EQ,sAi%?RFV@DB 0k:
:Q%}*W0k7846*-Z0(>P,;Vv,;*O78%J*vV-,;y]EQ,;V-4G'X4G,P:]7W%J*;o p#=
0(=GtJ%(VW467W')%\RQ,\>P=K0(*-46{1>;0(>;4@%JB :vy5EF,\*W,AQVW%(Af%J:F,\0(y]ECDB 7WV80k780)RQ,qtJ,;:F,;V80kV3>P=K0(*-,;*9y]EQ,>;EQ'XAQ=G0(:,P*80(*
VW,;*O78V-4G>;>P4G%J:F,;*YRQ,*W46')46=G467WEQR)btJ,;:Q,PV80(=64GR10kRCo
ì0(B *W46>@0('X,;:m78,kI,;=¸0(=6tJ%JVW4n78'X%Z[EQ:Q>P4G%J:10dRQ,=G0d*-4GtJEQ46,;:m78,)'h0k:Q,;VW0^[2#,;B 0(*W,,P=¸,P*Wy]EQ,P'h0RQ,)=K0
{1tJEQVW05o6@mgNo#5,30kAQ=G46>@00(AQV-,;:QRF4Gu@0T-,L>P%J'XAf,N78467W462(%EQ:102J,;u30+78%5RQ%J*#=G0(*#'UEQ,P*-78VW0(*rRQ,;=1>P%J:|-EQ:m7W%
Ñ
ø
úAþ börúrö
ü
&ýwö
D}
9þ
æJæ
m© ª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
0>P=K0(*-46{1>;0(V;IJ%(jF78,P:Q4G,P:QRQ% >;0k78,PtJ%JV;DB 0(*PIm*W4G,P:QRQ% ,;=Q:9EQB 'X,;V-%RQ,Y:Q,;EFVW%J:10k*#RQ,Y*80(=64GR109RF,L=G0+VW,PRCo
$/0kR10UEQ:10<RQ,+,P*80(*c>;0k78,PtJ%JV;DB 0(*&7W,;:QRFV10UB EQ:Q%(*c>;4G,PV-7W%J*&2k0(=G%(VW,;*¸RQ,*W46')46=G4n78EQRbhRF,tJ,;:Q,PV80(=64GR10kRRQ,
*-EQ*X'UEQ,;*O78VW0(*;o}p#:},P*-78,d'X%J'),P:m78%QIr>@0kR10>P=K0(*-,v*W,v>;%J:F*W4GRF,;V80s4G:FRQ46254GRFE10(=G'X,;:m7W,(o ,P:]7WVW%RQ,
0ky5EF,;=G=G0(*>;=G0(*W,P*y5EF,)>PEQ')AF=G,;:s=G0(*VW,;*O78V-4G>;>P4G%J:F,;*RQ,*W46')46=G467WEQRbtJ,;:Q,PV80(=64GR10kR,P*-780(jQ=G,P>;46R10(*RQ,
0k:]7W,;')0(:Q%X0=K0<,¾-,P>;EQ>P4T%JB :dRQ,;=0k=GtJ%JV-467W')%QI?0(y]EQ,P=G=K0Uy]EQ,0(V-VW%|W0<=G%(*c'),-%JVW,P*LV-,;*-EQ=6780(RQ%J*YA10(VW0<=K0
*-4G'X4G=64678EFRXbh=K0\tJ,P:Q,;VW0(=G46R10(R*-,*W,;=6,;>P>;4G%(:10\bh7W%?RQ%(*/=K0(*&'UEQ,;*O78VW0(*cy]EQ,Af,PV-78,P:Q,;>P,;:0U=K0U>P=K0(*-,+*W,
>P%J:Q*-4GRQ,PV80(:d>;=G0(*W4n{1>@0(RQ0(*;orp#=VW,P*-7W%)RQ,=G0(*c'UEQ,P*-78VW0(*;I1V-,;A10kV-7846R10(*cAi%JVY=K0(*cV-,;*O7w0(:m78,P*3>;0k78,PtJ%JV;DB 0(*PI
*-,+25EQ,;=n2J,;:0<0(tJV-EQA10(V&,;:vEQ:v*W%J=6%U>;%(:|-EQ:m78%Qozp#:m78%J:F>;,;*PIÀ,;=C0k=GtJ%JV-467W')%qRQ,0(AQV-,;:QRF4Gu@0T-,>;%J'XAf,S
7W467W462J%*-,L0(AQ=G46>@0+EQ:Q02(,;uL'·0(B *#AQ0(V80,;*-,Y:5EF,P2J%*WEQji>;%(:|-EQ:m78%RQ,Y'UEQ,;*O78VW0(*;I]%JjF7W,;:Q46,;:QRF%q%k78V80k*
>;0k78,PtJ%JV;DB 0(*RF,c=K0(*#>PEY0(B =G,P*#EQ:10+2J%(=62J,PV10B 0+*W,PVr*W,;=6,;>P>;4G%(:10(R10Fa=K0+y]EQ,c7W,;:Qtm0'X,¾-%JV-,;*2k0(=6%JVW,P*#RQ,c*W4
'X4G=6467WEQR\btJ,P:Q,;VW0(=G46R10(R,;:X*WEQ*¸'UEQ,P*-78VW0(*;o EFV80(:m78,Y,P*-78,LAQV-%?>P,;*W%RQ,L>@0k7W,;tJ%JV-4Gu;0(>;4@%JB : k*-,;=G,P>;>P4T%JB :CI
Ai%5RQV@DB 03%5>;EQV-VW4GVay]EQ,/:Q46:QtJEQ:Q03RQ,/=G0(* >;=K0k*W,;*VW,;*-EQ=6780(:m78,P**80k7W4G*OZ0(tm03=6%J*a>;VW4n78,PVW4G%(*RQ,&*W4G'X4G=6467WEQRb
t(,;:Q,PV80(=64GR10(Rxop#:,;*O78,3>@0(*-%QI?,P=ÀAQVW%5>;,P*W%URQ,30(AQV-,;:QRF4Gu@0T-,9*W,Y25EQ,;=n2J,0VW,PAf,N7846V¸A10kV80%JjF78,P:Q,;V¸EQ:10
:]EQ,N2k0q>P=K0(*-46{1>;0(>;4@%JB :CIJ.10k*-7w0%Jj?78,;:F,;Vz0(=Q'X,;:Q%(*#EQ:10>@0k7W,;tJ%(V@DB 0+y]EQ,Y>PEQ')AF=K0+=K0k*#VW,;*O78V-4G>;>P4G%J:F,;*;o#?4
,P*-780VW,;Ai,P7W4G>P4T%JB :d*W,U=6=G,N2(0X0h>;0(jf%hEQ::9EQB 'X,;V-%hAQV-,;RQ,N78,;V-')46:10(RQ%)RQ,2(,;>P,;*bd:Q4G:Qt(EQ:10)>;0k78,PtJ%JV;DB 0
V-,;*-EQ=6780(:m78,q,;*Y2/0kB =G4GRQ0FIF=6%J*Y>;VW4n78,PVW4G%(*cRQ,*W4G'X4G=6467WEQRhbtJ,P:Q,;VW0(=G46R10(RvAQEQ,PRQ,;:*W,PV3V-,@0-EQ*O7w0(RF%J*3AQ0(V80
Ai,;V-')4n7846V&y]EQ,q,;=0(=6tJ%JVW4n78'X%\>P%J:m784G:9EFB ,(o
p#*-7W,vAQVW%5>;,P*W%sRQ,>;0k78,PtJ%JVW46u@0(>P4T%JB : k*W,P=G,;>P>;4@%JB :*W,V-,;AQ4n78,.Q0(*-780y5EF,d,P=&:9EQB 'X,;V-%VW,P*-780(:m78,vRQ,
'\EQ,;*O78V80k*d*-4G:
>P=K0(*-46{1>;0(V,;*v'X,;:Q%(Vy5EF,EF::9EFB '),PVW%AQV-,;RQ,N78,;V-')46:10(RQ% Jo p#:,;*O78,s>@0k*W%QI3=K0
EQB =n7846'h0c>@0|78,;t(%JV@DB 03*W,¸Z[%JVW')0FI|AQVW,P>;4G*W0('X,;:m78,kIJAf%(V=K0k*VW,P*-780(:m78,/'UEF,;*-7WV80(*:Q%+>@0|78,;t(%JVW46u@0(R10k*.10(*O7w0
,P=C'X%J'),P:m78%Qoz$&%J'X%<AQEQ,PRQ,>;%J:F>;=GEF4GVW*-,RQ,=K0URF,;*W>PVW46Af>P4T%JB :RQ,P=CZ[EQ:Q>P4G%J:10k')46,;:m78%URF,;=0(=6tJ%JVW4n78'X%QI
,P=¸:9EFB '),PVW%v{1:10(=zRQ,h>;0k78,PtJ%JV;DB 0(*qtJ,;:F,;V80kRQ%:Q%,P*-710B {kW0(RQ%>;%J:0(:m78,;=G0(>;4@%JB :0d=K0v,¾-,P>;EQ>P4T%JB :RF,;=
0k=GtJ%JV-467W')%Qo&?,RQ4G>P,y]EQ,U,P=a0(=GtJ%(VW467W')%<.Q0(>;,EQ:10 Nº ­ Nº E;º (¿Sº ,;:>@0(RQ0hA10(*-®% ×RQ,q*WE
,-,;>PEQ>;4@%JB :C>P=K0(*-46{1>;09=K0k*'UEQ,P*-7WV80(*,P:m78VW,c=G0(*Ai,;VO78,P:Q,;>P4G,;:m7W,;*z0+EQ:10+>P=K0(*-,^=G03RQ,c'X,¾-%JV-,;*2k0(=6%JVW,P*
RF,q*-4G'X4G=64678EFR)btJ,P:Q,;VW0(=G46R10(RÀgrb=K0(*cV-,;*O7w0(:m78,P*;o
0(V80dAQVW%JjQ0(V=K0ji%J:QR10(RRQ,X,;*O78,)0(=GtJ%(VW467W')%)RQ,)0(AQVW,P:QRQ46u@0-,>;%(')Ai,P7W46784n2J%bs>P=K0(*-46{1>;0(>;4@%JB :
jF4G:10(V-4K0FIx.10d*-4GRQ%d0(AF=G4G>;0(RQ%,P:"=G0>;=K0k*W46{Q>@0(>P4T%JB :RQ,'UEF,;*-7WV80(*RQ,X=K0jQ0(*W,RQ,R10k7W%J«* ØN¿Sº NI*W%(jQVW,
>;0(V80k>P78,PV@DB *-7846>@0(*¸RQ,91%(VW,;*cRF,+RQ4G*O7846:]780(*&,P*WAi,;>P4G,;*/2(,;tJ,N7w0(=6,;*Porpr*O7w0Uj10k*W,RQ,+RQ0k78%J*&>;%J:Q*O7w0URQ,\(
'\EQ,;*O78V80k*c>;%J:v<>@0kV80(>N78,;V;DB *O784G>;0(*/A10kV80U>@0kR10<EQ:10URQ,,P=G=K0k*;IFRF,'h0(:F,;V80y5EF,q=G0\>@0kA10<RQ,,;:m78VW0(R10
RF,q=G0<VW,;Rd:Q,PEQVW%J:Q0(=C7846,;:Q,:Q,;EFVW%J:10k*;o&?,.10(:d>;%J'XA10(VW0(RQ%=G%J*cV-,;*-EQ=6780(RQ%J*YRQ,=K0<>P=K0(*-46{1>;0(>;4@%JB :
RF,;=#0(=6tJ%JV-4678'X%AQVW%(AQEQ,;*O78%v>;%(:=6%J*9V-,;*-EQ=6780(RQ%J*%Jj?78,;:F4GRQ%J*9'),PRQ4K0(:m7W,U0(AQV-,;:QRF4Gu@0T-,<>;%J'XAf,N784n78462(%
7WV80(RF4G>;46%J:10(=ßov$&%J'X%l,P=&0(AFVW,;:FRQ4Gu;0-,h>P%J')Ai,P7W467W462J%v78VW0(RQ46>;4G%(:10(=#AQV-,;>;46*80dRQ,;=¸>;%J:Q%5>;46')46,;:m78%vAi%JV
0kRQ,;=G0(:m7w0(RQ%~RQ,P=:+EQB 'X,;VW%RF,>@0k7W,;tJ%JV;DB 0(*^[>;%J*W0y]EQ,s:Q%~%5>;EQV-VW,s>;%(:,P='~,NB 78%5RQ%AQV-%JAQEQ,P*-78%mgNI
AQ0(V80Ai%?RQ,PVr>;%J'XA10(VW0+,;=QZ[EQ:Q>P4G%J:Q0(')46,;:m78%RF,90('\jf%J*#',PB 7W%?RF%J*#*W,Y.10(:XVW,;0(=G46u@0(RF%>;=K0k*W46{Q>@0(>P4G%J:Q,P*
>P%J:RQ46*-7846:m78%l:9EFB '),PVW%lRF,h>;=G0(*W,P*UVW,P*WEQ=n7w0(:m7W,;*;XRQ,P*WRQ,7WVW,;*\.10(*-780lRQ%5>;,kos$&%J'X%l'X,;RQ46R10RQ,h=K0
ji%J:QRQ0(R
RQ,;=9AQVW%5>;,P*W%~RQ,>;=G0(*W4n{1>@0k>;4T%(B :·*W,.10,P=G,;t(4GRQ%=G0"*WEF'h0RQ,=G0(*hRF4G*-780(:Q>P4K0(*,PEQ>;=¶DB RQ,;0(*
Ás
Ás
³s
m
;s
fm
t
Çùþ,úü "ùFú~ù fÿ ø
9ø)ú
bú
$ü
æ(í
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
Conjunto
inicial de muestras
Paso 1
Clase 1
Subconjunto 1
no clasificadas
Paso 2
Clase 2
Paso k−1
Clase k−1
Clase k
Oùüòû ýx4G/÷tJøNEF÷(þßV8ý ý ß0c|ú ß?üTú Núon-@û ø Q|[ýfûLõiù¾öû ö|/÷÷k|ký-ý þý cø@ßúú ßößúøPNüTüTûý û Ný kf|ù¾ýOû úþ /ýû ø |ø &úWù ø ý|øNüTö߶ý-ûYûö SùOüTûüTý ý røPöFø ù ùOP|û ûNø þ¶úý-öF&ûök¶û ûcÿ üTû ú ýfúù kù¾úøNøaø öß?ýWú köFüTù-ößý øNý ùOý-ú-ûù-|ÿ ù¾ý-úö ûß|ú þ |øPøNøNüöþßø úøcø ù ù|øNøPøNö¶öößúøNý küùOûxøNýþ rT5ý øSøN?÷ö ø þ¶ý Pk|ûNüTý-þ¶öúú Wß&ûøþ øN[ýö
÷(ù ýOøPþ ößú ý kù-ý-øNùOüúéøPý ö ßý-ö&ø ý (÷øNöþßûTþ¶ùOý-ý-ö ö߶ûrø ö¶ýý-þ¶öaýO÷|ù ú øP¶ýöýWö PýWý ö÷ ý-xþ¶ý-øPÿ öfüüTøNöý_öÙ û qø P÷|þ øNöß÷kûPøNö üPøPößý ö|üTø ý Ný ý |NýOû þ øNöüTû(Ù ùOû ùOø ¶¶û ý PûNüTþ8ÿý øPö wüTýý-ö cøßþ øNö ý-þ¶ûø
ý/õ ýýW¶öø ý¸/ø÷ 9Ú ûßû3üTý ý f1ù¾ø û NûPþßú ß/ûûYüTößý ý&ü|ý ßý-úö ý ß|þ ýøNmöüTþ¶ýý-ö cø¶ø ¶ýýOþ ø öú <ý¸ù øNý Qößú ù¾kû ù-øSþ ý-ßö û3/ýüý ûPþý-ö ßþý øNöaþßýWwö ø øûNþßýz÷þ¶ùOýOû ý-|ö ö ¶ßø ú ý-Nù¾ý ú üTûø
ÿ ¶ú cøcùOø ßý NûNþ8ÿ ø ù øPöý Ù
d> f·ê pd
p
>¯K
K
B b
&
4ã > ¶ ¼§ ½³ b
¶ ¼
> µ ¹ 4 ¯
Q
j
]nl
& I
b e > &
³= &K ¼§>
j
]
¹ p `
¹ e B l
E]
E]
f ¼§
B³ b
b p
½ B© j
l
&
¹ ³ ¼§
66 b
§ R
p » j
l
¶ ¼
¹ pd
 {³ b
V
³6 b ;
» ¹ ¯ b K
b & ³
æ(
m© ª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
RF,d>;0(R10s'UEQ,P*-78VW00k=/AQVW%k78%(7W4GAi%RQ,v*WE>;=K0k*W,(op#:=K0l7w0kjQ=K0s?oéís*W,v'UEQ,P*-78VW0(:=G%J*<V-,;*WEF=67w0kRQ%J*
RF,U=K0)0(AQ=G46>@0(>P4T%JB :dRQ,P=0(AFVW,;:FRQ4Gu;0-,U>;%(')Ai,P7W46784n2J%X>;=@0(B *W46>;%)b,;='~,NB 78%5RQ%hRF,\>;=G0(*W4n{1>@0k>;4T%(B :ljQ46:10(VW4G0
AFVW%JAQEF,;*-7W%,;:,P*-7W,0(A10kV-7w0kRQ%l,P:=K0v>;=K0k*W46{Q>@0(>P4T%JB :RQ,h=G0(*X('\EQ,;*O78V80k*URQ,h=G0djQ0(*W,RF,hR10k7W%J*
ØS¿Sº No
êøPÿ0(ö /ýjQO=G0þ¶û3ýWö?üT¶oéþ¶ý/íFøP öxù øøN]öß÷ý-÷þ¶öþ¶ý ûüTk¶ý/üTû ú ßößWúø ø ÷(é[úû/ýzüøüùOýû 8/÷ø3ö (üTý ù ý ßúøNßößú ýNø û3ù WøNÿ ößúùOý û /ú0 üTý øLù ö øNcøößú (3ùOüTøNýùOú-û ÿ øLüTú ú ö køSø þ¶|úùOøcúøP÷köaøSþý ø|ù Kø ÿ üT|ý-øNøPößöýz÷|üTøNýzþ¶ø3ü|øùOßøPû;ü_ö ø Û |ø9üTõ ý
$ü
³
§
B²
¶ ¼
-
& a
U
T
Ã
P
][
] ]
]FM
ßþ,úüNº ­"ùFú~ùNºf ÿ ø
G
]FM J
n!0* Ü * p
G &
ÝÜ U
;0
ä 3Ad!<ª?( F !"/0%;3!#$(Þ#8( %
¹
a>M ^T
¹
MO] ]FP
¹
]FU Ã[
¹
]FM MP
¹
P P>U
¹
T aP
¹
à M
¹
^>a
¹
U ÃU
¹
U MM
ß #H!H.%2 n*
^
a
>K G
§ ]
" K
»
(+* B
¢Þ
ß -*0( 4/0/(% < (Þ<ª(,
¹
a>a MM
¹
M] M
¹
]nU [
¹
]nM M
¹
]F[ [T
¹
T aM
¹
à ]FT
¹
a>[
¹
U U
¹
^ T>T
5½ ¿N¿8½ (¿ i¿ w½ 5½ 1»½ 5½ T½ º G½ (» ¿Sº
p#*-7W,U'~,PB 78%5RQ%)RQ,\>P=K0(*-46{1>;0(>;4@%JB :jF4G:10(V-4K0FI1jQ0(*80(RQ0h,;:0kAQVW,P:QRQ4Gu;0-,\>P%J'XAf,N78467W462(%):Q%)*WEQAi,;VO254n
*W0(RQ%QI]*-,3.10EF7W4G=64Gu@0kRQ%+A10(VW0q>P=K0(*-46{1>;0(V#>;%(VWVW,P=G%Jt(V80(')0(*AFVW%5>;,;RF,;:m78,P*&RQ,YVW,PRQ,;*z>;%(:)>P%J:F{1tJEFV80(>P4T%JB :
7W%JAi%J=T%JB t(4G>@09b\{1*W46%J=T%JB t(4G>@00k=G,@0|78%JV-4K0Foap#*-780(*&V-,;RQ,P*¸*-%J:hEQ*W0(R10(*z>;%(')%*W,P')46=G=G09A10(VW0q=G0t(,;:Q,PV80(>P4T%JB :
RF,h=K0vAi%JjQ=K0k>;4T%(B :46:Q4G>P4K0(=,;:RQ46*-7W4G:m7w0(*q,¾-,P>;EQ>P4G%J:F,;*\RF,;=¸0(=GtJ%(VW467W')%t(,;:¸,NB 784G>P%Qo 0kV80lEQ:')46*W'X%
:9EFB '),PVW%RQ,h:Q,;EQV-%J:10(*\RQ,=K0dVW,;Rb"EQ:4GR¸,;B :m7846>;%Ai%JVW>P,;:m7w0T-,RQ,4G:F.Q4GjQ46>;4@%JB :CIa=K0(*RQ4G*O784G:m780(*\V-,N
RF,;*tJ,;:F,;V80kR10(*<RQ,Z[%JV-'h0l0(=G,;0k78%JV-4K0dRQ,;ji,;:>;=G0(*W4n{1>@0(V-*W,,P:~RQ4G*O784G:m780(*<>@0k7W,;tJ%(V@DB 0k*;I#RQ,')0(:Q,PV80
y]EQ,\*W,UAQEF,;R10(:sAQ=G0(:Q4n{1>@0(VLRQ46*-7846:m7w0(*L,¾-,P>;EQ>P4G%J:Q,P*RQ,;=0(=Gt(%JVW4n78'X%<tJ,;:¸,NB 7846>;%A10(VW0)j10kVWVW,PV+>;%(:]2(,N
:F4G,;:m7W,;'X,;:m78,,;=a,;*WAQ0(>;46%hRQ,j+EQB *Wy]EQ,PR10Fo3$&%J:,P*-78%h*W,\AFVW,P7W,;:QRF,(IC0kRQ,;'0(B *;Ii,P254n7w0(VY,;:l=G%XAf%J*-4GjQ=6,
V-,@0(=64Gu;0(Vc=K0(*Lj9EQB *-y5EF,;R10(*3VW,PRQEQ:QR10k:]7W,;*^[*W%JjFVW,\V-,;tJ46%J:Q,P*3*-4G'X4G=K0kVW,;*&%h'UEFbv>P,;V->@0(:10k*9RQ,P=,P*WA10(>P4G%
RF,qj9EFB *Wy]EQ,;RQ0mg/y5EF,Ai%?RFV@DB 0k:78,;:F,;VY=GEQtJ0(Vc*W4*-,qAQ0(V-7W,qRF,q*-,;'X4G=6=K0(*¸'UEFb*-4G'X4G=K0kVW,;*¸,;:m78V-,*;DB o
p#:=K0){1t(EQV80v?onh*-,X'\EQ,;*O78V80k:=6%J*+Ai,;VO{1=G,P*+RQ,=G%J*3>;%JV-VW,P=G%JtJVW0(')0(*9AQV-%(78%k784GAi%V-,;*WEF=67w0k:]7W,;*
RF,<=K0>;=G0(*W4n{1>@0k>;4T%(B :RQ,<EQ:s>;%(:|-EQ:m78%vRQ,XÞ?@í>;%JV-VW,;=6%JtJVW0('h0k*9AQV-%?>P,;RQ,P:]7W,;*RQ,*W46'UEQ=G0(>;46%J:Q,;*3RQ,
*-,;'X4G=6=K0(*Y^[VW,PRQ,;*8gr%Jj?78,;:F4GR10(*rRQ,L')0(:Q,;VW00(=G,;0k78%JV-4K0Fop#*-780(*/Þ5Tí*W,;'X4G=6=K0(*>;%J:Q*O784n78EFb(,;:hV-,;RQ,P*&RQ,3
:F,;EQV-%J:10(*PI1>;%J:vEQ:lÞ( RQ,:Q,;EFVW%J:10k*c4G:Q.Q46jQ4GRF%JV80(*PIFy]EQ,tJ,P:Q,;VW0(:d>;%JV-VW,;=6%JtJVW0('h0k*&*W46tJ:Q4n{1>@0k7W462(%J*
,P:m78VW,RQ,=K0:Q,PEQVW%J:Q0_`v0~_xe@o p#=7W%(7w0k=+RQ,*W,;'X4G=6=K0(*htJ,;:Q,PV80(RQ0(*AQ0(V80>;%(:Q*W,PtJEQ4GVv=6%J*Þ?Tí
>P%JVWV-,;=6%JtJV80k'h0(*&*W4Gt(:Q46{1>;0k784n2J%J*¸Z[EQ,RQ,Þ?o(JFo
0(V80\=G00kAQ=G46>@0(>P4T%JB :RQ,P=x0(=6tJ%JV-4678'X%RQ,L>;=G0(*W4n{1>@0(>P4T%JB :XjQ46:10(VW4G0qAFVW%JAQEF,;*-7W%U,;:),;*O78,+>;0(ADB 7WEQ=G%FIm=K0
0kVWy]EQ467W,;>N78EQVW0qRQ,L=K0+V-,;R):Q,;EQV-%J:10(=À0kV-784n{1>;4G0(=^¼{1tJEQVW05o6THJg#>P%J:Q*O7w0RQ,@JFY:Q,;EFVW%J:10k*¸,P:)=G0>;0(A10
ö ù
rq
þ
ú
úü
ù Fö ø
üö \ü
9þ9þ,úüEúAþ Fú
búü
T íJ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
RQ,+,;:m7WV80(R10Ub)RQ,qÞ\:Q,PEQVW%J:Q0(*c,;:=G0\>@0(AQ0URQ,*80(=64GR10h^_ T(FJî ÁÞJgSoz$/0(R10U:Q,PEQVW%J:Q0URQ,=K0
>@0(A10XRQ,q,;:m78VW0(R10)*-,>P%JVWV-,;*-Af%J:FRQ,\>P%J:lEQ:Q0Xj10kVWV80RQ,P=>P%JVWV-,;=G%(tJV80(')0URQ,q_a`c0)_xe3,;:=K0(*Y'UEQ,P*O
78V80k*U0l>P=K0(*-46{1>;0(V^¼7w0(')0 :Q%dRQ,h2(,;:m7w0(:Q0l78,;'XAi%JV80(=zRQ,P=¸>P%JVWV-,;=G%(tJV80(')0F%à !( gNo ,h,P*-780
'h0(:F,;V80?I?=6%J*&AQV-%(78%k784GAi%J*zVW,P*WEQ=n7w0(:m78,P*&7846,;:Q,P:h7w0k'UjQ4N,PB :lT(F+>;%(')Ai%J:Q,P:]7W,;*Por´%(*/>;%JV-VW,P=G%JtJVW0(')0(*
*W%J:AQV-,;*-,;:m7w0(RF%J*X0l=K0lV-,;RCI#,P:>@0(RQ0A10(*W%RF,;=/0k=GtJ%JV-467W')%QIa*W46:y]EQ,.10@bm0k:*W4GRF%AQVW,N2?4G0('X,;:m78,
:Q%JVW')0(=64Gu@0kRQ%J*;I5RQ,')0(:Q,PV80Uy]EQ,=K0U>P=K0(*-46{1>;0(>;4@%JB :*W,PV10B *W,P:Q*W46jQ=G,:Q%*Q%JB =G%0U=G0\Z[%JVW')0URQ,;=x>;%JV-VW,;=6%k
tJV80(')0FIQ*-4G:Q%7w0k'UjQ4N,PB :d0X=G0X0k')AQ=6467WEQRRQ,*WEQ*3j10(V-V80(*Po&´%J*YAi,;*W%(*9RQ,=K0<V-,;Rl:F,;EQV-%J:10(=a0(VO7846{Q>;4K0k=
d^ ÂÅÄWâßI],;>;EQ0(>;46%J:Q,;*/?onYb)5o ÞJg*-,346:Q4G>P4K0(=64Gu@0k:\*W46tJEQ46,;:QRQ%qEQ:10RQ46*-78V-4GjQEF>;4T%(B :X:F%JVW')0(=Q>PEFbm0q'),PRQ4K0,;*
,;=CAQV-%J'X,;RQ46%URQ,=G%(*&2k0(=G%JV-,;*/RF,>@0(R10UjQ0(VWVW0U,;:v=K0(*cÞ?TíU'UEQ,P*-7WV80(*q^[>;%JV-VW,;=6%JtJVW0('h0k*wg¸0U>P=K0(*-46{1>;0(V
bv>;%J:EQ:10)RF,;*-254G0(>;4@%JB :,P*-710(B :QR10(VLRQ,)Jo/p#:l>;0(R10XA10(*W%)RQ,;=a0(=6tJ%JV-4678'X%URQ,>;=G0(*W4n{1>@0(>P4T%JB :vjQ46:10(V-4K0
*W,,;=64GtJ,)>;%J'X%'X,¾-%JV\>;=K0k*W,0(y]EQ,P=G=G0^RQ,=G0(*\RF%J*<VW,P*WEQ=n7w0(:m78,P*wg\>PEFbm0*WEF'h0RQ,=G0(*URQ46*-780(:Q>;4G0(*
,;EQ>P= DB RF,@0(*RQ,<*-EQ*'UEQ,P*-78VW0(*0(=AFVW%(7W%(7846Af%,P*=K0'X,;:Q%JV<^>;V-467W,;VW46%RQ,*W46')46=G4n78EQRÀgSo µ %v*-,)0kAQ=G46>@0
:Q4G:Qt(EQ:10<VW,P*-78V-4G>P>;4T%(B :dV-,;*-Af,P>P78%h0<=K0<tJ,;:F,;V80k=G4GRQ0(RCorp#=0(=Gt(%JVW4n78'X%\*W,RQ,N7846,;:Q,q>;E10k:QRQ%X,;=Ai%JVW>P,;:?
7w0-,+RF,9'UEQ,P*-7WV80(*cy]EQ,+y]EQ,PR10(:vAi%JV&>P=K0(*-46{1>;0(V;I5RQ,;=i78%(780(=iRQ,9'UEF,;*-7WV80(*q^[>;%JV-VW,P=G%JtJVW0(')0(*wg4G:F4G>;4G0(=¶I
,;*h46:FZ[,;V-4G%JVX0(=9Þ( oê,P:Q4G,P:QRQ%,P:·>;EF,;:m7w0,P*-78%(*A10(VQ0(B '),N78V-%J*;I/=G0"0(AF=G4G>;0(>;4@%JB :~RQ,;=30(=6tJ%JVW4n78'X%
RQ,<>;=G0(*W4n{1>@0(>P4T%JB :ljQ4G:10kVW4K0)R10>;%J'X%VW,P*WEQ=n7w0(RF%EQ:78%(780(=RQ,X>;0k78,PtJ%JV;DB 0(*;Ix>;EFb(%J*AQVW%(7W%(7846Af%(*9*W,
'UEQ,;*O78VW0(:,;:v=K0q{1tJEQVW0<?on?orp#:=K0(*z{1tJEQVW0(*L?onTäU0?oÞ(\*-,'UEQ,P*-78VW0(:=G%(*/AQVW%k78%(7W4GAi%J*¸RF,>@0(R10
>;=K0k*W,¸-EQ:m78%>P%J:2(0kVW4G%(*c,¾-,;'XAQ=6%J*/RQ,'UEF,;*-7WV80(*Y>P%JVWV-,;*WAi%J:QRF4G,;:m7W,;*30U,;*80>;=G0(*W,ko %JVEQB =n7846')%QI],P:
=K0\{1tJEFV80)?o Þ5q*-,AFVW,;*-,;:m7w0X,;=RQ4G0(tJVW0('h0RQ,jQ0(VWVW0(*cRQ,q=K0URQ46*-78V-4GjQEF>;4T%(B :RQ,>P%JVWV-,;=6tJV80(')0(*/,P:m78VW,
=K0(*cRQ46*-7W4G:m7w0(*c>;0k78,PtJ%JV;DB 0(*c%Jj?78,;:F4GR10(*Po
Ûz
}
"s
z
z
ºsut
rq
&$ %(')%<*-,qRF,;VW4n2k0URQ,;=0(:c0(B =G46*W4G*¸RQ,=K0k*&{1tJEQVW0(*L?on<0?oÞ(FIQ=G0\>;=G0(*W4n{1>@0(>P4T%JB :Ai,;V-')4n78,3*W,;AQ0(V80(V
>;=K0kV80('X,;:m78,3,;:EQ:Q0U>;=K0k*W,^[>@0k7W,;tJ%JV;DB 0Xg¸0(=6tJEQ:Q%(*&>;%(VWVW,P=G%Jt(V80(')0(*z>;EFb(%XAFVW%J'X,;RQ46%\RQ,+0(')AF=G467WEQR
RQ,/*WEF*j10(V-V80(*,P*'UEFb,;=6,P2k0(RQ%<^[{1tJEFV80?onTämgSI(=6%9y]EQ,cAi%?RQV;DB 0L4G:QRQ46>@0(VaEQ:103*W%JjQV-,;,P*-7846'UEQ=G0(>;4@%JB :\RQ,
=K0<:Q,;EFVW%J:10)_xe@ocp#=aVW,P*-78%)RQ,q=G%J*Y>;%(VWVW,P=G%Jt(V80(')0(*c*W,\0(tJV-EQA10(:d,;:X>;=G0(*W,P*3RF46Z[,;V-,;:m78,P*;IfRQ%J:QRQ,q*W,
>;%J:Q*-4GRQ,PV80(:RQ46Z[,PVW,P:Q>;4G0(*,;:\=G0/Z[%JVW')0LRF,¸=6%J*>;%JV-VW,P=G%JtJVW0(')0(*z^Ai%J*W46>;4@%JB :RQ,¸AF4G>;%(*ab2k0(=6=G,;*PI:+EQB '),PVW%
RQ,)AF4G>;%(*;I,N78>ko gbs,;:=K0d0('XAQ=G4n78EQRsAQV-%J'),PRQ4K0kR10%l'0|B M?4G')0RQ,)*-EQ*\jQ0(VWVW0(*;ov´0v>;=K0k*W46{Q>@0(>P4T%JB :
>;%J:Q*-,;tJEF4GR10Ai,;VW'X467W,(IJAi%JV#EQ:=G0(RQ%QIm>P%J:Q*W46RQ,;VW0(V#>;46:Q>;%tJV-EQAi%J*#RQ4G*O7846:]7W%J*RQ,Y>P%JVWV-,;=G%(tJV80(')0(*A10(V80
=K0AF=K0(:Q4n{1>@0k>;4T%(B :"RQ,=G0(*\,-,;>PEQ>;46%J:Q,;*\RQ,;=c0k=GtJ%JV-467W')%tJ,P:¸,PB 7W4G>P%Qo %JV%(78V-%=K0kRQ%QI=G04G:F*WAi,;>;>P4T%JB :
RQ,P780(=G=G0(R10RF,=G%J*/AFVW%(7W%(7846Af%J*¸>;%J:F*W,;t(EQ4GRQ%(*cAf,PVW'X4678,L{1=67WV80(V&0(y]EQ,;=6=K0(*&>;=K0k*W,;*c>PEFbJ%>P%JVWV-,;=G%(tJV80(')0
AQVW%(7W%(7846Af%*-,@0*WEF{Q>;4G,P:m78,;'X,;:m7W,9RQ46*-7w0k:]7W,L0(=1>;%JV-VW,P=G%JtJVW0(')09')%(:Q%J*W46:Y0(B AF7W4G>P%RQ,YVW,PZ[,PVW,P:Q>;4G0Fo#p#*-7W%
%?>PEQVWV-,(I/,P:,;=Y,-,;'XAQ=G%y]EQ,*-,0(:Q0(=G46u@0,;:}=K0(*<{1tJEFV80(*h?on0"?oÞ(FI&>P%J:=6%J*>;%JV-VW,P=G%JtJVW0(')0(*
Af,PV-78,P:Q,;>P4G,P:]7W,;*30<=K0U>;=G0(*W,<(or´%(*c>;%JV-VW,;=6%JtJVW0('h0k*&RQ,=K0k*/>;=G0(*W,P*Y{Q=678VW0(R10(*&:Q%*W,,;'XAQ=G,;0(V10kB :CIF,P:
:Q4G:Qt&EFB :<')%J'X,;:m7W%QIJ>;%(')%*W,P')46=G=G0(*A10kV80=K0+tJ,P:Q,;VW0(>;4@%JB :RQ,Y=K0+Ai%JjQ=G0(>;4@%JB :<4G:Q46>;4G0(=?,P:),P=10(=6tJ%JVW4n78'X%
tJ,;:¸,NB 7846>;%Qo
©mª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
TíF
80
70
60
disparos
50
40
30
20
10
0
−50
0
tiempo (ms)
50
O÷ùòøNþß4GûTü|tJùOø EQý-|VWüTøS0ý þ¶þ ?¶øý-onöüT?ý üT@ýcù¾ûPfößþßú ûPþ¶þßý þ¶ûýøPPû ù¾þ¶Púø û þ¶/øø ýW/øöP÷|üöxøSý/÷þ øùOþßûû ø ßû /ýßú÷kûþ ¶øNøNùOößþúéýû øý-ù öøSý-üTþ¶ö ý/úßü|þ þßøNøLýWüüökûüTÿ ø ý û éýWø ø ß|ûPø þßú KøNþ ÿ |ö ø rý-ø ÷|õiøNö þ¶ßøû;ý öaø÷|ù þßý&û øPßöý û ú k¶úéwù-÷(øøNûPù¾ûNö úWþû ÿ |#üTø üTýýxößøLù¾úûPüø þßû9/÷þ¶ý û û éúßPý þ¶kø üqú/øüTüTûPPýöö
&ýù¾ûNWþ¶üTþ¶ýú øû Nßþý ø cøPöø NûNýfþ¶ú öýi/ûù cøPüTöú ýzkù-ù ø øN#ößú÷kþ¶ùOûTøPù¾ù¾ý-úWüû ÿ ý rüTú ký øSøþ¶úøößú |øPößøPøNüTù¾úWû/û ÿ rý üýføN÷ù¾û þßý |üTú -þ¶ø øP[ù¾ýúû ùOû /÷ýWöm(üTý ýÀßúþ¶ßý-ú ü#Nû ø éýWiø ý-ÿßøPûPöþßýú øNý ö ß|ý ýi¶öû ý-þ @ú5þkø ûPÿ ö
üTø ýßýOößþ ý |/úø ßú 8ø¸øP÷|öøSø þ ]ø ùOúéøþ ù Pý ú ßû ý-þ¶/ûøPù¾úW|û ÿ ûPYößüTú ý øNÿ ÷ øzßú ÷(ù¾ûû&ý øNùOùOúú-û ÿ øNYüTúûPþ úùOúø müTý 9ø PûNþ¶ú &û Ný Cý ÿ ¶úùOûr÷|øSþ ø ø |ÿ ö |ý-üø&üTýþßýWüTý-ö
66 b
j
¹
D >
6
O2
>
½ &
yK "K
A
6
½ ³ µ
K
>
d
" O
p
K
yã
I @ » I G w 6 &
) 2
e l
b
µ >KO ¶ ¼
r Â
j
l
>O>
~>
& ¯ pd ³ ½ 6K d>
TímÞ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
80
A
70
60
disparos
50
40
30
20
10
0
−50
B
disparos
60
40
20
0
−50
disparos
80
D
0
tiempo (ms)
20
0
tiempo (ms)
60
40
20
80
40
50
50
C
0
−50
50
60
0
−50
80
disparos
disparos
80
0
tiempo (ms)
E
0
tiempo (ms)
50
0
tiempo (ms)
50
60
40
20
0
−50
ò øN4Gö?tJù¾EFú |V8ù¾0<û?ù onøNTößäFý-öm÷fþ¶ûPûTþßù¾þ¶ýWý üTûý Pþ¶ßýWø ö5cøüTý ÷øaþßû øSß÷ û ßúúù-÷køNû ùOú-û ÿ ücý ý [zý /÷ø PûNûPþ¶öú ü/ûýCùOüûNýfþ¶þßù ý éøNû ößNú kþ øùOcøøPù¾NúWû öÿ ú |2 øSþ¶ú÷(ø ýOkþ øNßýö¶øN|üTý-ù¾ûúýý r¶øSý-÷öþ¶ø ý küT|ú ø/Wø üT[ýý
ùOüû ý /÷ø¸(ý÷kßû ú ßú NøPû ù¾úWû ÿ i3ý-ÿ øPú öý#ú ù¾úý ø J¶ý ý ßû +ø 5NûPûPöþßú ù¾ûN/ûþ¶þ¶ý Nû ý NCþ ý ÿø ¶cøúùOPûzöx÷|üøNýzþ¶ø ý [ýø /÷|ÿ éö û9ù¾ûý-ü||ø¸ö ¶úüTý#NùOýû øPöaþ ößøNý ù¾/úúû |øNý-öiöaü÷|ýøSþ þ¶ø ý-ü3ø ø Nßý ý-þ ýO|þ ø øNßùOú wú-û øNÿ ö
ø ]ù¾úþ¶ù ú ßû /û û;öú øSÿ ÷ ßú ù¾û&ý ù¾ú ¶øPüTûNþ
ºã
~ =
j
l
µ
>K
@
"
_
;Â
ä §¼ > æµ
& l
j
l
> ) pd
K
K
§¼ > § pd \
& 6 ³ GK d
O
>
F
j
6
¶ ¼
" >
&
©mª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
TíJH
A
80
70
60
disparos
50
40
30
20
10
0
−50
B
disparos
60
40
20
0
−50
80
disparos
80
D
0
tiempo (ms)
40
20
0
−50
0
tiempo (ms)
60
40
20
80
60
50
50
C
0
−50
50
disparos
disparos
80
0
tiempo (ms)
E
0
tiempo (ms)
50
0
tiempo (ms)
50
60
40
20
0
−50
ù¾òøPû 4Gö5/÷tJù¾EQ(ú |ýVWùO¶0<ûaú ¶?úù PonøNû ößæ?ý-fö5ýW÷ÿ føNþßößûNûTýþ¶ùOþßý-ý ý üTéûý ßNý þ¶ý-ø ¶ö]cøû üý ÷]øþ¶û;û øSö¶÷ û ù¾ßûPú úùOþß÷(øNþ¶û ýùOú-ûû ÿ P#þ¶üTø Yý/øý P[¸öCý /÷øüTýzNûNéý û;þ¶[öCýú /÷üT/ûý#ù¾û3üTûNýiþ¶ù¾þ¶ûù ý |øPûö ößNú ú kþ øùOcøøPPù¾ý PúWû öÿ øNöaú |ßö2 ýøS/úþ¶ú ÷(ø ýO|øNþ øNßöaýö¶÷|øNüøSý-ùOþûøúéýý rø ¶øSý-N÷|öý þßø ý |ýOþ üT|øNú ø/ùO-ú-ø ûüTÿ[ýý
üTø ]ý ù¾úø¸þ ù ÷kû ú ßû øN/ûù¾úWû ÿ 3û;ú ö|ú úùOøNúÿ ø÷ mßú ý ù¾û/ý 9ùOø ú PøNûNüTþ¶ûPú þ &û Ný xý ÿ ¶úùOûz÷|øNþ¶ø ø kÿ ö ýWüø¸üýùOû þ Nø ùOúéû ý-öfüTýþßýWüLø ßý-þ kø ßú wøNö
³ã
> >
p { =
j
l
>K
" O
)
µÂ
p
ä §¼ æ
& l
j
l
> ) &
K
K
b¼ > b & \
pd 6 6 ³K &
O
2
>
j
>
6
¶ ¼
B B >
&
Tí(
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
A
80
70
60
disparos
50
40
30
20
10
0
−50
B
disparos
60
40
20
0
−50
disparos
80
D
0
tiempo (ms)
20
0
tiempo (ms)
60
40
20
80
40
50
50
C
0
−50
50
60
0
−50
80
disparos
disparos
80
0
tiempo (ms)
E
0
tiempo (ms)
50
0
tiempo (ms)
50
60
40
20
0
−50
ò øN4Gö?tJù¾EFú |V8ù¾0<û?ù onøNTößíFý-öm÷fþ¶ûPûTþßù¾þ¶ýWý üTûý Pþ¶ßýWø ö5cøüTý ÷øaþßû øSß÷ û ßúúù-÷køNû ùOú-û ÿ ücý ý [zý /÷ø PûNûPþ¶öú ü/ûýCùOüûNýfþ¶þßù ý éøNû ößNú kþ øùOcøøPù¾NúWû öÿ ú |2 øSþ¶ú÷(ø ýOkþ øNßýö¶øN|üTý-ù¾ûúýý r¶øSý-÷öþ¶ø ý küT|ú ø/Wø üT[ýý
ùOüû ý /÷ø¸(ý÷kßû ú ßú NøPû ù¾úWû ÿ i3ý-ÿ øPú öý#ú ù¾úý ø J¶ý ý ßû +ø 5NûPûPöþßú ù¾ûN/ûþ¶þ¶ý Nû ý NCþ ý ÿø ¶cøúùOPûzöx÷|üøNýzþ¶ø ý [ýø /÷|ÿ éö û9ù¾ûý-ü||ø¸ö ¶úüTý#NùOýû øPöaþ ößøNý ù¾/úúû |øNý-öiöaü÷|ýøSþ þ¶ø ý-ü3ø ø Nßý ý-þ ýO|þ ø øNßùOú wú-û øNÿ ö
ø ]ù¾úþ¶ù ú ßû /û û;öú øSÿ ÷ ßú ù¾û&ý ù¾ú ¶øPüTûNþ
ºã
~ =
j
l
µ
>K
@
"
_
;Â
ä §¼ > æµ
& l
j
l
> ) pd
K
K
§¼ > § pd \
& 6 ³ GK d
O
>
F
j
6
¶ ¼
" >
&
©mª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
Tím
A
80
70
60
disparos
50
40
30
20
10
0
−50
B
disparos
60
40
20
0
−50
80
disparos
80
D
0
tiempo (ms)
40
20
0
−50
0
tiempo (ms)
60
40
20
80
60
50
50
C
0
−50
50
disparos
disparos
80
0
tiempo (ms)
E
0
tiempo (ms)
50
0
tiempo (ms)
50
60
40
20
0
−50
ù¾òøPû 4Gö5/÷tJù¾EQ(ú |ýVWùO¶0<ûaú ¶?úù PonøNû TößFý-fö5ýW÷ÿ føNþßößûNûTýþ¶ùOþßý-ý ý üTéûý ßNý þ¶ý-ø ¶ö]cøû üý ÷]øþ¶û;û øSö¶÷ û ù¾ßûPú úùOþß÷(øNþ¶û ýùOú-ûû ÿ P#þ¶üTø Yý/øý P[¸öCý /÷øüTýzNûNéý û;þ¶[öCýú /÷üT/ûý#ù¾û3üTûNýiþ¶ù¾þ¶ûù ý |øPûö ößNú ú kþ øùOcøøPPù¾ý PúWû öÿ øNöaú |ßö2 ýøS/úþ¶ú ÷(ø ýO|øNþ øNßöaýö¶÷|øNüøSý-ùOþûøúéýý rø ¶øSý-N÷|öý þßø ý |ýOþ üT|øNú ø/ùO-ú-ø ûüTÿ[ýý
üTø ]ý ù¾úø¸þ ù ÷kû ú ßû øN/ûù¾úWû ÿ 3û;ú ö|ú úùOøNúÿ ø÷ mßú ý ù¾û/ý 9ùOø ú PøNûNüTþ¶ûPú þ &û Ný xý ÿ ¶úùOûz÷|øNþ¶ø ø kÿ ö ýWüø¸üýùOû þ Nø ùOúéû ý-öfüTýþßýWüLø ßý-þ kø ßú wøNö
³ã
> >
p { =
j
l
>K
" O
)
µÂ
p
ä §¼ æ
& l
j
l
> ) &
K
K
b¼ > b & \
pd 6 6 ³K &
O
2
>
j
>
6
¶ ¼
B B >
&
TíJä
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
A
80
70
60
disparos
50
40
30
20
10
0
−50
B
disparos
60
40
20
0
−50
disparos
80
D
0
tiempo (ms)
20
0
tiempo (ms)
60
40
20
80
40
50
50
C
0
−50
50
60
0
−50
80
disparos
disparos
80
0
tiempo (ms)
E
0
tiempo (ms)
50
0
tiempo (ms)
50
60
40
20
0
−50
ò øN4Gö?tJù¾EFú |V8ù¾0<û?ù oøNÞ(ößFý-öm÷fþ¶ûPûTþßù¾þ¶ýWý üTûý Pþ¶ßýWø ö5cøüTý ÷øaþßû øSß÷ û ßúúù-÷køNû ùOú-û ÿ ücý ý [zý /÷ø PûNûPþ¶öú ü/ûýCùOüûNýfþ¶þßù ý éøNû ößNú kþ øùOcøøPù¾NúWû öÿ ú |2 øSþ¶ú÷(ø ýOkþ øNßýö¶øN|üTý-ù¾ûúýý r¶øSý-÷öþ¶ø ý küT|ú ø/Wø üT[ýý
ùOüû ý /÷ø¸(ý÷kßû ú ßú NøPû ù¾úWû ÿ i3ý-ÿ øPú öý#ú ù¾úý ø J¶ý ý ßû +ø 5NûPûPöþßú ù¾ûN/ûþ¶þ¶ý Nû ý NCþ ý ÿø ¶cøúùOPûzöx÷|üøNýzþ¶ø ý [ýø /÷|ÿ éö û9ù¾ûý-ü||ø¸ö ¶úüTý#NùOýû øPöaþ ößøNý ù¾/úúû |øNý-öiöaü÷|ýøSþ þ¶ø ý-ü3ø ø Nßý ý-þ ýO|þ ø øNßùOú wú-û øNÿ ö
ø ]ù¾úþ¶ù ú ßû /û û;öú øSÿ ÷ ßú ù¾û&ý ù¾ú ¶øPüTûNþ
ºã
~ =
j
l
µ
>K
@
"
_
;Â
ä §¼ > æµ
& l
j
l
> ) pd
K
K
§¼ > § pd \
& 6 ³ GK d
O
>
F
j
6
¶ ¼
" >
&
©mª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
Tímæ
100
90
número de muestras
80
70
60
50
40
30
20
10
0
1
2
3
clase
4
5
TáüòýýW4Gÿ tJøNù EQößýaøNVWöß0hý ú k5¶ù-ýøNo Þ?ùOßú-(ûû&ÿ ÷|FøNø þ¶ú kcøø øS9þ¶ø&úÚ ø ûù¾û ||øNö ö¶ÿ øN/ýüø¸Oûqþ¶üûLý ý hüTý ûPøSöx÷þ¶þ¶ý ý-kýWö ¶öüT¶ø ú þ¶WøPø¶ö ý-[ý9öfü÷|ù¾ý ûøS/÷þ(øøPÿ (/ýöý ù ¶ßú øN¶þ¶ößúûPPý-öxûöüTXþßý ýW]õ ö ø ¶Pø ûNÿ þ¶/ýßú ý-O&ûöaþ¶û\¸üTý üTüTý#ý+ø/ù ù ý øN[øNýWößößúù ý-k|ö&ù-ùOøNú-þ¶ûùOý-ÿ ú-ö û ÿ üT¶ý ø ¶ÿ ý-/ýö¸ø O-ý P¶þ ö/ûûNþ¶üT¶ú ûý /ûø
üTý ýWö ¶þ¶øPö
GÙ
p
>K
ª =
º³ §
MO]FT
j
K
6
> &p
µ
³³
â a± ·¦£2¤9¢«­¦ ¦ ã)¦)±&®¢¤ã)¦ä¸;°f¡°²e¦
~¨
§
¶ ¼
b >
l
½
b p )4 pd
´
«Ç®e¢O°V¥r¤ ¦)¨
³
§¼ p
>
³ pd
& U
>D ³
³3=\>P%J')46,;:QuP%RQ,"=K0}*-,;>P>;4T%(B :Å?oéFo6*-,.10AQV-,;*-,;:m7w0(RF%EF:10RQ,P*W>;V-4GAi>;4@%JB :ÆRQ,"=6%J*0k=GtJ%JV-467W')%J*
t(,;:¸,NB 784G>P%J*r78V80kRQ4G>P4G%J:10k=G,;*PImy]EQ,+,;'XAQ=6,@0(:X=G%J*r%JAi,;VW0(RQ%JV-,;*¸jY0(B *W46>;%J*zRQ,3*W,;=6,;>P>;4T%(B :CI?'\EF7w0(>P4T%JB :b>;V-E?
u;0('X4G,;:m7W%XAQ0(V80<>;%(:Q*W,PtJEQ4GVY=G0,N2J%J=6EQ>;4@%JB :vRQ,qRQ4G*O784G:m780(*cAf%(jQ=K0(>P4G%J:F,;*/RQ,q4G:FRQ46254GRFEQ%J*/RQ,qRQ4nZ[,;VW,P:m78,
:Q0k78EQVW0(=G,Pu@0Fo³9*;DB 'X4G*-')%FIm0q>P%J:m7846:5EQ0(>;4@%JB :),P:h,P*-7w0q*W,P>;>;4@%JB :X*W,L.10q,SM?AQ=G46>@0(RQ%q,;=À'~,PB 7W%?RQ%RQ,Y>P%?RQ4
{Q>@0(>P4T%JB :),;'XAQ=G,;0(RQ%A10(VW0=K0k*zV-,;RQ,P*&:Q,PEQVW%(:10(=G,P*¸,P:,;=i0(=6tJ%JV-4678'X%+tJ,P:¸,PB 7W4G>P%\A10(VW0q=G0qj9EFB *Wy]EQ,;RQ0\RQ,
>P%J:Q,SMF46%J:10(RF%J*r0(=67W,;V-:10k784n2J%J*0(=F'X%J:Q%(*W4G:c0(B AF7846>;%Qo %(VEQB =67W4G'X%QI*W,cAQV-,;*W,P:m7À%qB =K09')0(:Q,PV80+,;:<y]EQ,Y,P*O
Ai,;>(DB {1>;0('X,;:m78,3*W,946')AF=G,;'X,;:m780(:,;:,P*-78,90(=Gt(%JVW4n78'X%=G%J*r%JAi,;VW0(RQ%JV-,;*&RF,9*W,P=G,P>;>;4@%JB :CI5>;V-EQu@0('X4G,P:m78%
b'UEF7w0k>;4T%(B :CIFb=6%J*c'~,NB 78%5RQ%J*cRQ,tJ,P:Q,;VW0(>;4@%JB :b>;=G0(*W4n{1>@0k>;4T%(B :RQ,=K0(*cAi%JjQ=G0(>;46%J:Q,;*&4G:Q46>;4K0k=G,;*Po
0(RQ03=K0L>;%J'XAQ=6,¾-4GRQ0(RRF,&=G%(*46:QRQ462546RQEQ%J*ay]EQ,/*W,¸>;%5RQ46{Q>@0(:U,P:U,;=?0(=6tJ%JVW4n78'X%ctJ,;:¸,PB 7846>;%+AQ0(V80L=K0
j9EFB *Wy]EQ,;RQ0RQ,L>;%J:F,NM?4G%J:Q0(RQ%J*PI?,P=i,P')AF=G,;%RQ,P=À%JAf,PV80(RF%JVrRQ,3>PVWEQu;0('X4G,;:m7W%AQEF,;RQ,LVW,P*WEQ=n7w0(Vr>;V;DB 7W4G>;%Fo
p#*O78%q,;*rRQ,;jF4GRQ%q0y]EQ,Y,NM?4G*O78,YEQ:100(=n7w0+:Q%=G46:Q,@0k=G4GRQ0(R\,P:]7WVW,Y=K0+'X%5RQ46{1>;0(>;4@%JB :URQ,Y=6%J*#A10(VQ0(B '),N78V-%J*
{Q*W4G%(=T%JB tJ46>;%J*b78%(Af%J=@%JB tJ46>;%J*z^[tJ,;:Q,P*wgRF,&=G%(*>P4GVW>PEQ467W%J*b=G0L2k0(V-4K0(>P4T%JB :q>;%J:F*W,;>PEQ,;:m7W,c,;:<=K0L0(>N78462546R10(R
>P%JVWV-,;=G0(>;46%J:10(R10cRQ,¸=K0(*:Q,PEQVW%(:10(*RF,¸=G0LV-,;RCo ,;jQ46RQ%90Y,;*O78%QIk,;=5%JAi,;V80kRQ%JVRQ,z>;VWEFu@0('X4G,P:]7W%9AQEF,;RQ,
AFVW%T2J%5>@0(VcEF:10 (º N¿ å Nº d,;:v=K0q,P2(%J=GEQ>P4T%JB :RF,+=K0\Ai%JjQ=G0(>;4@%JB :CI5RQ,+'X%?RF%Uy]EQ,,;=f>;VWEFu@0('X4G,P:]7W%<RQ,
RF%J*Y4G:QRQ4n254GRQEQ%(*c>;%J:dEQ:10X0(=6780\2k0(=G46RQ,;uAQEF,;RQ,qR10(VY=GEFtm0(Vc0EQ:d4G:QRQ4n254GRQEQ%<Ai%5>;%<2&0(B =G46RQ%<RQ,;*-RQ,\,P=
AFEQ:m78%XRQ,2?46*-780XRQ,=G0\Z[EQ:Q>;4@%JB :v%Jj5-,N78462(%Qo
ö $ü ý fù fÿ ø
TíJí
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
p#=JAFVW%JjQ=6,;')0/RQ,#=K0¸RQ4G*-VWEQAi>;4@%JB :RQ,;=m>PVWEQu;0('X4G,;:m7W%cAQEQ,;RF,z'X4G:F4G'X4Gu@0kVW*W,a'X,;RQ4G0(:m78,=G0/0(RQ,P>;E10(RQ0
*W,;=6,;>P>;4T%(B :RQ,d=K0sAf%(jQ=K0(>P4T%JB :~46:Q4G>P4K0(=ßAf%JVX,¾-,P')AF=G%QIztJ,;:F,;V80k:QRQ%=G0Ai%JjQ=G0(>;4@%JB :~4G:Q46>;4K0k=/0AQ0(V-7W4GV
RQ,l*-,;'X4G=G=G0(*0(=6,@0k7W%JVW4G0(*<>;%J:AQ4G>P%J*)*-4GtJ:F46{1>;0k784n2J%J*X,;:·=6%J*X>;%JV-VW,;=6%JtJVW0('h0k*;o
ÃL:10"')0(:Q,;VW0'0(B *
V80(RQ46>@0(=RQ,,;=64G'X4G:10(V&,;=aAQVW%JjF=G,;')0RQ,\=G0XRQ46*WV-EQAf>P4T%JB :RQ,;=a>;V-EQu@0k')46,;:m78%)>;%J:Q*-4G*O78,(If*W46')AQ=6,;'X,;:m78,kI
,;::Q%,P')AF=G,@0kVq,P*-7W,)%JAi,;VW0(RQ%JVt(,;:¸,NB 784G>P%QIa.10(>;46,;:QRF%EQ*-%QIa,NM?>;=6EQ*W4n2(0k'),P:]7W,(IRQ,X=G%J*%(Af,PV80(RQ%(VW,;*
RQ,*W,;=6,;>P>;4T%(B :db'\EF7w0(>P4T%JB :xo
p#:,P*-78,U0(A10(VO7w0(RQ%)*W,UAFVW,;*-,;:m7w0k:0k=GtJEQ:F%J*3V-,;*-EQ=6780(RQ%J*+RF,\EQ:10)AQVW46'),PV80h0kAQVW%@M?4G')0(>;4@%JB :0h=K0
j+EQB *Wy]EQ,PR10"RQ,d>;%J:F,NM?4G%J:Q0(RQ%J*h0(=67W,;VW:Q0k784n2J%J*X0(=Y'X%J:Q%J*-4G:Y0(B A?784G>P%QIz,;:=G0y]EQ,*W,.10AQV-,;*->;4G:FRQ4GRQ%
RQ,;=Y%JAi,;VW0(RQ%JV<RQ,d>;V-EQu@0k')46,;:m78%Qo %JV,;*-7W,'X%(7W462J%FI¸AQEF,;RQ,dRQ,;>P4GV-*W,dy5EF,*-,.10,P')AQ=6,@0(RF%EQ:
t ¿Nº¼» ½ $ ?»º $ ^Ai,;V-')4n78,X=K0v,P2(%J=GEQ>P4T%JB :RQ,EQ:Q0lAf%(jQ=K0(>P4T%JB :sRQ,h4G:QRQ4n254GRQEQ%(*wgNIaAi,;VW%l:Q%bJ0
5½ ½N»º IF,P:m78,;:FRQ4G,P:QRQ%Xy5EF,,P*-78,EQB =n784G'X%\46')AF=G4G>;0\,;=,P')AF=G,;%<RF,;=%JAi,;V80kRQ%JVcRQ,>;V-EQu@0k')46,;:m78%Qo
p#:=G0{1tJEQVW0?oÞJÞ*W,h'\EQ,;*O78V80k:"=G%(*qV-,;*-EQ=6780(RQ%J*qRQ,X=K0v,¾-,;>PEQ>;4@%JB :"RF,hEQ:"0(=GtJ%(VW467W')%h,P2J%(=GE?
78462(%^[*W46:%JAi,;VW0(RQ%JVRQ,>PVWEQu;0(')46,;:m78%mgAQ0(V80v=K0j9EQB *-y5EF,;R10dRQ,)EF:">;%(:Q,NM?4G%(:10(RQ%dy]EQ,h0kVWVW%-,)EQ:
>;%JV-VW,;=6%JtJVW0('h0*-4G'X4G=K0kV0(=#'X%J:Q%J*-4G:Y0(B A?784G>P%^[{1tJEFV805o ÞJ¦Þ ægNo 0kV80,P*-7W,0(=6tJ%JVW4n78'X%*W,X.10AQ0(V-7W4n
RQ%sRQ,vEQ:10sAf%JjF=K0(>P4T%JB :46:Q4G>P4K0(=zRQ,Þ(4G:QRF46254GRQEF%J*UtJ,P:Q,;VW0(RQ%J*XAf%(V<'UEF7w0k>;4T%(B :~0sAQ0(V-7W4GV<RQ,vEQ:10
*W,;'X4G=6=K0l>P%J:Q*-4G*-7W,;:m78,d,;:}EQ:>;4GV->;EQ4n78%sAi%J=G46*W4G:c0(B AF7846>;%,SM?>;46780(RQ%JVPo}?,.Q0(:0 :Q0(RQ4GRF%RQ%J*:Q,;EFVW%k
:10(*4G:F.Q4GjQ46RQ%JVW0(*90k=>;46VW>;EF4678%hAf%J=64G*-4G:Y0(B A?784G>P%^[y5EF,<4G:Q46>;4K0k=G'X,;:m78,q:Q%,;*O7w0(jF=G,;>P,;:>;%J:F,NM?4G%J:F,;*>;%J:
%(78VW0(*:F,;EQV-%J:10(*8gNIV-,;*-EQ=6780(:QRQ%EQ:7W%(7w0(=#RF,æ:Q,;EQV-%J:10(*,;:=K0vVW,;Rxovpr:>@0(RQ0tJ,P:Q,;VW0(>;4@%JB :CI=6%J*
4G:QRQ4n254GRQEQ%(*c*W,\%(jF7846,;:Q,P:lAi%JVY'UEF7w0k>;4T%(B :RQ,q=G%(*L'X,¾-%(VW,;*Y46:QRQ462546RQEQ%J*^'X,;:F%JVYRQ4G*O7w0(:Q>P4K0\
2k0(=6%JV
0(jQ*W%(=GEF7W%<RQ,=K0URQ4nZ[,;V-,;:Q>P4Kå0 çh0(=x>;%JV-VW,;=6%JtJVW0('h0qRQ,VW,NZ[,;VW,P:Q>;4G0mg&*W,P=G,P>;>;46%J:10(RF%J*q^'X,;RQ4G0(:m78,+,P=C%JAi,N
V80(RQ%(VcRQ,*W,;=6,;>P>;4T%(B :Àg&RQ,=K0UtJ,P:Q,;VW0(>;4@%JB :0(:m78,;V-4G%JVPor$&%J'X%*W,%JjQ*-,;V-2k0,;:d=K0\{1t(EQV80FI1,P=0(=6tJ%JVW4n78'X%
,P2J%(=GEF7W462J%>;%J:F*W4Gt(EQ,l>P%J:m2J,;V-tJ,;Vh.10(>;4G0EF:10"RQ46*-7w0k:Q>;4G00(=Y>P%JVWV-,;=G%(tJV80(')0RQ,lV-,PZ[,PVW,;:F>;4K0'),P:Q%JV
y5EF,U=K0,NM?4G*O78,P:]7W,U,;:l=K0)Ai%JjQ=G0(>;4@%JB :d4G:Q46>;4K0k=¶IQV-,;*WEF=67w0k:QRQ%h,P:EQ:>P4GVW>PEQ467W%)'0(B *L>;,PVW>@0k:Q%v0(=')%(:Q%k
*W4G:c0(B AF7846>;%^ß0(EQ:Fy5EF,<'UEFbdRQ46Z[,PVW,P:]7W,<0¸EQB :Àgcy]EQ,<,;=a>;%(VWVW,P=G%Jt(V80(')0XRF,U=G%J*34G:QRF46254GRQEF%J*3RF,UA10(VO784GRQ0Fo
´a0,N2J%J=6EQ>;4@%JB :RQ,=6%J*U>;%(VWVW,P=G%Jt(V80(')0(*0s=6%=K0kVWtJ%RF,=K0(*UÞJ(tJ,P:Q,;VW0(>;46%J:Q,;*<*-,'UEQ,P*-78VW0,;:~=K0
{1tJEQVW0)5o Þ(H?o
p#:=K0,¾-,;>PEQ>;4@%JB :lRF,;=0(=GtJ%(VW467W')%\RQ,=G0{QtJEQV80k*+?oÞJÞUb?oÞ(HX:F%h*W,q4G'XAQEQ*-%):F4G:QtJEF:10XV-,;*O78VW46>N
>;4T%(B :0h=G%(*L2k0(=6%JVW,P*9'DB :Q46')%J*YRQ,=K0k7W,;:Q>P4K0X*W4G:c0(B AF7846>@0hRF,\=K0k*9RQ46*-7846:m7w0(*3>;%J:Q,SM?4G%J:Q,P*+RQ,P=>;46VW>PEQ467W%Qo
$&%J')%>;%J:F*W,;>PEQ,;:F>;4K0?I#,;=¸0(=GtJ%(VW467W')%v,N2J%J=6EF784n2J%"Üç*80k>@0lA10kV-7846R10FÜRQ,),;*-7W,.Q,P>w.Q%A10(VW0l>;%J:F*W,;t(EQ4GV
,;=&RF,;*WAF=K0(u;0(')46,;:m78%RQ,;=¸AQ4G>P%RQ,P=&>;%(VWVW,P=G%Jt(V80(')0.10k>;4K0d=K0d4Gu;y]EQ46,;V-R10^ß gNol³9*;DB ')46*W'X%QI=6%J*
VW,;RFEQ>;>P4T%JB :h0q=6%=G0(VWtJ%RQ,L=K0k*zt(,;:Q,PV80(>P4G%J:Q,P*¸RF,3=6%J*#784G,P')Ai%J*#RQ,L*WEFjQ4GR10bj10W0(RQ0qRQ,3=G%J*zp b
,;=À0(EQ'X,;:m7W%qRF,L=G0,P{1>;0(>;4G0RF,L=G0(*#>;%(:Q,NM?4G%(:Q,;*z4G:Q.F4GjQ46RQ%JV80k*Ai,;VW'X467W,;:=K0+RF4G*W'X4G:]EQ>P4T%JB :<RF,;=À0(:Q>w.F%
^[7846,;'XAf%(*/RQ,*WEQjF4GR10<bj10W0kR10mg&RQ,P=AQ4G>P%XRF,;=>;%(VWVW,P=G%Jt(V80(')0Fo
%JVEFB =67846')%FI?,P:=K0U{1tJEFV80)?o Þ|)*-,\'UEQ,P*-7WV80),P=VW,;*-EQ=6780(RQ%XRQ,q=K0<,¾-,P>;EQ>P4T%JB :RQ,EF:0(=6tJ%JVW4n78'X%
,P2J%(=GEF7W462J%y]EQ,<AQ0(V-7W,URQ,<EQ:10Ai%JjQ=G0(>;4@%JB :l46:Q4G>P4K0(=*W46')46=K0(VL0=G00(:10(=64Gu;0(R10),P:s=K0(*L{1tJEQVW0(*q?oÞJÞXb
?o ÞkHFIC>;%(:0k=GtJEQ:Q0(*+RQ4nZ[,;VW,P:Q>;4G0(*;o\p#:AFVW4G'X,;V3=GEQtJ0(V;IC=G0hZ[EQ:Q>P4T%JB :%Jj]-,P784n2J%vA10(VW0=K0*-,;=G,P>;>P4T%JB :RQ,
úAþ
þÞý
ø¾ÿ dù
}
ºsut
©mª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
B
4200
60
4000
disparos
distancia (disparos)
A
3800
3600
3400
3200
C
50 100 150 200 250
generaciones
D
40
20
0
−50
0
tiempo (ms)
50
0
tiempo (ms)
50
60
disparos
disparos
60
40
20
0
−50
TíJ
0
tiempo (ms)
50
40
20
0
−50
¾ùù¾òþû 4GktJ-öEQøú ö &úVW¶0qý/ý ?ý o¶Þ(û Þ?| ø+ý¸ù¾ý-÷|û ö øSþ ý ߶Tý&øPúWüTû ÿüT\ûPý öf÷küTû|ý éøYú ößø#ú÷(ýû øN[ÿ ÷ýWùßøN|ú ùOùOùOú-ø ûú-ÿ û ÿ Yú |üT|úý ùOý úø þ¶YFû üTø|ýøPPöûNþ¶ú ú ßú /û|ý-þüT#/ýú @ý WúNüüTû úøPûPö ßö ú NNý û ýTùO|ýOú øPþ ößøNøNøPüTüTüTûPû;û#þ¶öø3ý øYý ÷k¶øSþßþ ý ߶úøPþù¾üTúWû ÿý P|ý LøLYøößõ ý|/úÀöý ùO|úéþù¾ø ùú ø#ú üTßûýý
ýüTý ßkþ¶ú øNý|ù¾üý úWúû ÿ@<øNú öü üT|ý Òû ú(ùOßè ûTößû ý üT/úûPö ú éåø û;èNö üT|Ný ø#ý øû ý-¶÷(ö þ¶Føû ú |ýøPù ù¾úWþ¶ûNûÿ Yýkkø ößüTýaû dù¾û éû;&÷÷|ö#øSþ ÷(éßý ý-ú¶þfößø#ûPüözù¾ýaû üý-ý ö ¶øzøPöröý ý ù¾&úû þßû|ý ø TøN;úöQû ößú ýýWNöýú ú ú ýOüTþ ûNø ú þ|øNúø#üTö ûP÷kþ¶ûøPý ö +øNù¾û#õ úWû ýWÿ cö úø ú ößù¾ý-ý ú ùOø ý Y&ýößý-Wú ö üT|ßúøNþ ø ø÷|ößßúøýö
ýú |Nüû ú @kú ù¾ü úWûÿ ûYTüTø ýréûù-øNüøSø þ NNû¸ý üýOý þ øNùOú-û ÿ Ný YýOý þ 5øNù¾ùOûPúéû þßþ¶ý ý-ö û PPüTþ¶ýø cøø/rüTüTúý#ö ¶þ¶ø ý |ù¾ýOúþ¶ø ý kù¾wúø ø ûNþø kö]û û;öC¶úû&|üüúý @ú üø/üTûPú öaýOüTþ¶ýýr|ùOùOøPúø üø ý Ný ¶|þßýýOþ ý øNù¾úW&ýû ÿ 3[ûNöýþ
ûÿ ¶úéúý /ûýLüT÷(ý ûNþ ø ø ¶¶ý øN|ùOùOú-úû øLÿ öúüTý øSÿ ÷ûPßö ú ùO/ýøYüT[ý&ûPþßùOýWøPöüú øY|üTù¾úû ;ú ýü TúWû;û ÿ öüý ÷ ø ý-üTNý ý ýOý þ ;øNøSùOþú-û ÿ øYöø ý-þßüTý-ýþßúûNþ kößú qþßfýWöû ¶/ûþßú LùOùOößúéûýrû ý-kööýý-þ wýøcý wø ûNþ
|÷|ø øNøSéþùOû ßúøúþxøNþüPý û/]wù¾øüúýþ ûNù þxøNøSú ö ß÷û Pþ¶ýû T|ý-ú ýcøþ¶øPößPúéù¾þüTúNû ûzýüTýWüTýö ýøLöý &úüTúö ¶üTøø¸ú|öß÷|÷|ù¾øSú øNøcþ þßø û;ø ö FørQù¾õûP÷(þßû þ¶ý øPû ù¾PößúWþ¶ý û ÿ ø L/øú|&ý-ú üTöù¾ßúýrþø ørþ¶1ý ý õ Jý-þßù¾ý ûP|þßù¾þ¶ýú öøcý û ößPý þ¶øwcøýWøYö ¶þ¶þ¶ý-÷(øzü û |ý úùOöúé/ýúý |øSÿüT[÷ ûPû ßþCkú ù¾ùOù¾ûzûNû þ¶û þßNý ýOßéþûý NNúþú ý üTø kû&cøüTøû
÷÷/ýúùOý-ûLüý9÷(ûPþû û üT|úößúößú ö ýO¶þ øSø ÿ 8÷køN¶ù¾þ¶úú ößùOøcý ûY1ø ûN5ý þ¶ùOú NûNø úþ¶|þßNøý ûNéþ¶û ú 9N/ûþ üTø qýWcøö÷ýzNøüTû -ýzøSþßþ¶ýú ûPýOû|þ¶ý øNù¾|ûùOùOú|øúößø ú øYüTú ý3ý þ¶ødý-úü ýOÿ |þ ßù¾üúúø/øþ/aý õ NQø ý ø||ùýON|þ ûPøNû þßù¾ú úWû /ûßÿ +úý Y/÷üTö¶ý køN?û;ùOø øYöcN÷|üTûPý+øSþßþ ú ßö ú/ûüT|ûL/úüýüTø Pý û øY|ß÷kúø Nû;û öøNú üøfú éúû ü&ûüøNý ü
üTøøPý3özþ¶þ¶ý-ù¾ý-ûü ü ||ýùOù¾TùOúú-úþ ûû ÿ øNýWö üTö#ý ú ø ßûPý öú |ù¾ßúúüúøNý ûN/÷ö¸þ øNökúö#û;ö¸÷(øSÿ ÷ýOüþßý3/úú ùOöøN¶ö ý |ú üøPø öøø üTú |ö /úø øPü|÷køù¾øSúWû üTþÿ øý ù¾üTéû;û ý öz|föõø ý |ùúþrûqý üTüTCýý üiý-÷øPößözú ÷ ù¾ûüTø ú -öüTøßý ú&úCù¾ýøNûPö þ߶þ¶ûqý ýûüT|Pý þßxþ¶û ø |÷/øøNú ù¾ö û Uý iö-ýÿ ÿ /ýýW/úOù ¶þ¶öûûq/ûüTüTýý
üTúöß÷|øNþßû;öfþ¶ý-ùOû PúüTû;öxý ÷|øSþ ø ¶ûTüTûPö ûPöùOûNþ¶þßý éû Nþ ø cøNö
e §¼ > ; pd
> ºK
B6O
D¹ &
d¶ J
&
³
K
> ¯ &
6
I
M[
§ ©
> > O
&
p
"´ E´ j8a
l
Z
c
O
¯
K
> >
>
K
_ e
§ K M
B ½ {²
&
b
¹ e >K
2
³O
I
³ º ¹ \
I
> K
åä
I6 b > D¹ 6 " d
> ¹ b K >O
µ
· >
r b¼
M>U[
j
l
O
G > · æ Â
O
G j l
KO µ³
> ³ ¯ §¼
O
³ I > F¹ §
>
w 6 B > 6 ¯ã K & ä¹
»
j
[fQ\RFl
B &
³ e b · ½
O 2¹ >= d
³ n ß ;³ b
>KO a a[[
&
G>
d
½
K
$ 5
µ³ §
ª §¼
> b > · ½ I &
O 2
ã >
j
l
>K d
¹ &
O > >
0
bK ¾K ¼
j
l
O
{
¶ d B
B ¶
&
&
6
K
³ 6 6 §
> ¶ 2¾² »
& ¹
[fQ\R
>
½ &K Á¾K ¼
@
_L J L
@
b > 6 > º · > K
d p ç
b = 0
j,
y´
½
> M [[>[ l
c
TJ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
kò/ýøN4Gö¶tJøNEFüTûPV8û#þa0ý üT?ú ö oÞ(ø HF|)ùOøNúù¾ø/õ úWû øNÿ ?û ù¾/û|ûNùOPþ¶ú-þ¶öû ÿ ýßþ û øNüTNüþý û#ø cøý ûPö¸ù¾&ûø ûPþßþ¶ý ûPþößû úø Pþ¶øSÿø ÷ /ø¶úPùOö#û/ø ýý ù¾û ú ¶ýWøPøSöüTþ ¶NûNþ¶ûqþø üTüý#éý û;þ¶öÀý øNù¾öý-ûPþßþßNý þ¶ý|ý |ù¾û ýOú øPþ øNþ¶øù¾ú/øû |Pþ ý-ö?ø örüýüTý éû;ö ø /ýNûNüT[þ¶ûPý-ú ö¶þß/ûüTýWö1ý ú |øý üTPNú û ;ý úü ßýOúþ Nû;ø û ö
P÷kùOú-ýøSû ÿþ øý-þ¶øP|ù¾úø û ý-cøö ýWö Pú ûN|ßþiûøLù øöøNþß÷(ú ýOüþ¶øNúéü/ûPNþý üTúý ýOþ ø øNùOúýOúéûþ ü|øþ¶ý-øö ø ø ÿ &ýý P-ý |þßø û&ý-qþ¶üTøPýýù¾úWú üû&úÿ úöß÷||øSøPþ¶üTûPû öÀýWéþßû;öýWöù¾ûý Pú[|ý-úüøYö ûPú öQýøNý-þßöúûNý þßú ÷|üTøN|ýOþ¶þ¶ý øý-¶ùøP¶köû@ø üüTûPýc(ö ý ùOqéøNû;ü|öiú ø3ù¾ßûPý-ùOþßþûNþ¶wþ¶ý øþßýéû û;éPû öaþ¶Nø üTþ cøýø cøNö
) >
@
Á E d
6 &
O
B³O
" b
B µ
J e³ § "
e §¼
O
U MM
§ ³ > O
· ¹=2
æ
º "
j
U MM l
>
d &
¶
B & O·
0
¹ & ][Ej
l
MU[Áj
l
][
$¹
>
"
b¼ \
+> > j
MU
l jJ
½ n
¯ ½ ´
µ
_
c
M [>[[ l
K
G= %J*c46:QRQ462546RQEQ%J*cRQ,q>@0kR10)tJ,P:Q,;VW0(>;4@%JB :dy5EF,R10kV10(B :d=GEQtJ0(VY0X=G0<*W4Gt(EQ4G,P:]7W,,;*LRQ46Z[,PVW,;:m7W,A10kV80=K0(*L(
EFB =67846'h0k*tJ,;:Q,PV80(>P4G%J:F,;*;opr:\=K0(*AQVW46'),PV80(*(9tJ,P:Q,;VW0(>;46%J:Q,P*;Im>;%(')%3%?>PEQVWV;DB 03,P:<,;=F0(=GtJ%(VW467W')%cRF,/=K0
{1tJEQVW0<?oÞJÞ?IF=G0qZ[EQ:F>;4T%(B :%Jj5-,N78462(%<,;*/,P=f2k0(=6%JV&0kjQ*W%J=6EF78%\RQ,+=K0qRQ46Z[,PVW,P:Q>;4G0\RQ,+>;0(R10\>P%JVWV-,;=G%(tJV80(')0
>;%J:,;=#>;%(VWVW,P=G%Jt(V80(')0RQ,VW,PZ[,PVW,P:Q>;4G0Fov?46:,P'Uj10(V-tJ%QIa,;:=K0(*EQB =n784G')0(*kdtJ,P:Q,;VW0(>;46%J:Q,P**Q%JB =G%v*W,
784G,P:Q,h,P:>;EQ,P:m7w0=K0dVW,PtJ4T%JB :RQ,;=¸AQ4G>P%l'X%J:Q%J*-4G:Y0kB AF7846>;%lAQ0(V80d,;=&,P*-780(jQ=G,P>;46')46,;:m78%RQ,h=G0dZ[EQ:Q>P4T%JB :
%Jj5-,P7W462(%Qo %JV%k78VW%L=K0kRQ%QI|*W,&V-,;*O78VW46:QtJ,z,;=m2k0(=G%(V'lDB :Q4G'X%cRQ,&=G0c=K0k7W,;:Q>P4K0Y*W4G:c0(B AF7846>@0L0q Jo#$&%(')%
*W,/%JjF*W,;VO2k0+,;:<=K0L{1tJEQVW0?oÞkQI(,P=Q0(=6tJ%JV-4678'X%Y>;%J:F*W4Gt(EQ,/RQ,P*WAQ=G0(u@0(V,;=5AQ4G>P%+RQ,;=?>;%JV-VW,P=G%JtJVW0(')03.10(>P4K0
=K046u;y]EQ46,;VWRQ0bXVW,;RFEQ>;46V/*WEv0(:F>w.5EFV80v^[Z[EF:QR10('X,;:m7w0k=G'X,;:m78,kI?,P=f7846,;'XAf%qRQ,+*-EQjQ46R10mgz*-%JjQV-,+=K0qj10(*W,
AQVW46:Q>;46A10(=ÀRQ,9=G0RQ46*W'X4G:]EQ>P4T%JB :)RQ,9=6%J*¸7W4G,;'XAi%J*¸RF,9*WEFjQ4GR10qbhj10TW0(R10\RQ,3=G%J*&p b),;=f0(EQ'X,;:m78%
RQ,=K0U,P{Q>@0(>P4K0RQ,=K0(*c>P%J:Q,NM?46%J:Q,;*L4G:F.Q4GjQ46RQ%JVW0(*;opr:=K0\{1t(EQV80X?oÞ(H<*W,q'UEQ,P*-78VW0X=G0U,P2(%J=GEQ>P4T%JB :v,P:
=K0)Z[%JV-'h0XRQ,<=G%(*9>;%(VWVW,P=G%Jt(V80(')0(*+0=6%=K0kVWtJ%)RQ,<=K0(*TJht(,;:Q,PV80(>P4G%J:Q,P*RQ,<=K0),¾-,;>PEQ>;4@%JB :RQ,<,P*-78,
0(=GtJ%(VW467W')%,P2(%J=GEF7W462(%Qo
,P=i0(:Y0(B =64G*W46*RQ,L=G%J*#V-,;*-EQ=6780(RQ%J*zRQ,L=K0(*r'EFB =67846AQ=G,P*,-,;>;EF>;4G%(:Q,;*9^RQ,L=K0k*zy]EQ,L,;:),;*O78,+0kA10(V-780(RQ%
*1%JB =6%*W,'\EQ,;*O78V80k:RQ%J*U,-,;'XAQ=G%J*8gqRQ,P=/0(=6tJ%JV-4678'X%v,P2(%J=GEF7W462(%j10(*80kRQ%,;:~'UE?7w0(>P4T%JB :CI0(AQ=64G>@0kR10(*
*W%JjQV-,RQ46Z[,PVW,P:]7W,;*Ai%JjQ=G0(>;46%J:Q,;*)4G:Q46>;4G0(=G,P*l^[>;%J:*-,;'X4G=G=G0(*RQ,RQ4nZ[,;VW,P:m78,;*>P4GV->;EQ4n78%J*8gNIY*W,>P%J:Q>P=GE?
bJ,=G%*W46tJEQ4G,P:m78,(*W43jQ4G,P:
*W,>P%J:Q*-4GtJEQ,P:
>;%J:m2(,;VWt(,;:Q>P4K0(*v.10(>P4K0>;%JV-VW,;=6%JtJVW0('h0k*)'0(B *>P,;VW>;0(:Q%J*
0(=#')%(:Q%J*W46:Y0(B AF7W4G>P%,NM?>;4n7w0(RQ%(V;I,P2546780(:QRQ%d=K0RF4G*WV-EQAi>;4T%(B :y]EQ,XAf%5RQV;DB 0AQV-%2(%?>;0(V,;=r%JAi,;VW0(RQ%JVRQ,
esut
TF
m© ª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
>PVWEQu;0('X4G,;:m7W%QI:Q%.Q0l*W46RQ%Ai%J*W46jQ=G,X,;:Q>P%J:m78VW0(VUEQ:10>;%J:F{QtJEQV80k>;4T%(B :RQ,h>P4GV->;EQ4n78%ly]EQ,v0kVWVW%-,hEQ:
>P%JVWV-,;=6%JtJV80k'h0\*-4G'X4G=G0(VX,PB *-78,ko
² ²e
{¡®¯±9¢O° e¦)¡
é
²;~±G°f±a·¦£2¤9¢«­¦A·~¨Hr´ ¢¤b¥ª¦
±§°f¡ ~¥r®¯¥r¤§¦)¨;~¡
LÃ :10d2(,;u0k:10(=G46u@0(RF%J*=G%J*V-,;*WEF=67w0kRQ%J*\RF,)=G0d,-,;>;EF>;4T%(B :"RQ,)EQ:0(=6tJ%JV-4678'X%,P2(%J=GE?78462(%jQ0(*80(RF%,;:
'\EF7w0(>P4T%JB :^[,;:0kEQ*W,P:Q>;4G0qRQ,P=À%JAf,PV80(RF%JVrRQ,3>PVWEQu;0('X4G,;:m7W%]gNIm,P:h,;*O78,30(A10(VO7w0(RF%*-,3AQV-,;*-,;:m7w0(:0(=GtJE5
:F%J*9V-,;*WEF=67w0kRQ%J*LRQ,\=G0X,-,;>;EF>;4T%(B :RQ,qEQ:0(=6tJ%JVW4n78'X%UtJ,P:&,PB 7W4G>;%)A10(VW0)=K0j9EQB *-y5EF,;R10hRF,\>;%(:Q,NM?4G%(:Q,;*
0k=678,PVW:10|78462k0(*Y0k=a>P4GV->;EQ4n78%')%(:Q%J*W46:Y0(B AF7W4G>P%X,SM?>;46780(RQ%JVPo/´0)>P%?RF46{1>;0(>;4@%JB :vRQ,=6%J*Y>;46VW>;EF4678%(*;IÀ0(*;DB >P%k
'X%=K0<4G'XAQ=6,;'X,;:m7w0(>P4T%JB :hRQ,=6%J*c%JAi,;VW0(RQ%JV-,;*LtJ,;:¸,NB 7846>;%J*YRQ,q*W,P=G,;>P>;4@%JB :CI1'UEF780(>;4@%JB :bv>;V-EQu@0('X4G,P:m78%
b=6%J*'~,NB 78%5RQ%J*qRQ,htJ,P:Q,;VW0(>;4@%JB :"RF,h=K0vAi%JjQ=K0k>;4T%(B :46:Q4G>P4K0(=ßI.10(:*W4GRF%l,NM?AQ=64G>;0(RQ%J*q>;%J:RQ,P780(=G=6,X0(=
AFVW4G:F>;4GAF4G%<RQ,=K0U*-,;>P>;4T%(B :?oçQonRQ,,;*-780X'X,;'X%JV-4K0Fo
p#:78%k7w0(=ßI5*-,9.10k:=K0(:Fu@0(RQ%)TJq,¾-,;>PEQ>;46%J:Q,P*/RQ,;=f0(=6tJ%JVW4n78'X%tJ,;:¸,PB 7846>;%QI5>;%('UjQ4G:Q0(:QRQ%=K0(*zRQ46Z[,S
V-,;:m78,P*Ai%J*W46jQ4G=64GR10kRQ,;*fy5EF,X,;B *O78,z%(Z[VW,P>;,kaRF46Z[,;V-,;:m78,r:9EQB 'X,;V-%YRQ,¸:F,;EQV-%J:10(*&^,P:]7WVW,¸HYbUTmgNI|RQ4nZ[,;VW,P:m78,
Ai%JV->;,;:m780-,\RQ,*W46:10(AQ*-4G*L4G:Q.Q46jQ4GRF%JV80(* k,NM?>P467w0kRQ%JV80k*;I1tJ,P:Q,;VW0(>;4@%JB :0(=6,@0k7W%JVW4G0<RQ,\=G0XAi%JjQ=G0(>;4@%JB :v4G:Q4
>P4K0(=#btJ,;:F,;V80k>;4T%(B :,;:jQ0(*W,0*W,;'X4G=6=K0(*PIRQ46Z[,PVW,;:m7W,;*\2(,;VW*-4G%J:F,;*<RQ,P=¸%JAi,;VW0(RQ%JVRQ,h>PVWEQu;0('X4G,;:m7W%QI
RF46Z[,;V-,;:m78,P*/Z[EQ:Q>P4G%J:Q,P*cRQ,+RQ46*-780(:Q>;4G0\,;:m7WVW,>;%(VWVW,P=G%Jt(V80(')0(*;I5RQ46*-7846:m78%J*z2(0k=G%JV-,;*/A10kV80\=G0\AQVW%(j10(jQ46=G4n
RQ0(RRF,q>PVWEQu;0('X4G,;:m7W%QIQ'UEF780(>;4@%JB :CIQ,N78>ko
p#=CV-,;*WEF=67w0kRQ%UAQV-4G:Q>P4GA10(=iRQ,97W%?RQ0(*/,;*O7w0(*&,¾-,;>PEQ>;46%J:Q,P*;IQ78,P:Q4G,P:QRQ%<,P:>;EQ,P:]780<=K0(*¸VW,;*O78V-4G>;>P4G%J:F,;*
jF4G%J=@%JB tJ4G>;0(*bX>;%J'XAQEF780(>;46%J:10(=6,;*rRQ,P*W>;V-46780(*¸,P:=G%(*&0(AQ0(V-780(RQ%J*¸0(:m78,PVW4G%(VW,;*PI?,P*&y]EQ, T½q½ 1»ß¿ :F4G:QtJEF:103>P%J:F{1tJEFV80(>P4T%JB :RQ,/=G%(*A10kV10(B 'X,P7WVW%J*{1*W46%J=T%(B tJ4G>P%J*CbqRQ,/>;%(:Q,;>N78462546R10(R\RF,&VW,PRUy]EQ,c0(V-VW%|W0kV80
EF:<>;%JV-VW,;=6%JtJVW0('h0c,P:]7WVW,c_`b\_fe#*W46')46=K0(V0(=]>P%JVWV-,;=G%(tJV80(')0Y')%J:F%J*W46:Y0(B AF7W4G>;%Fop#*RF,;>;46V;IJ,P:U:Q46:Qt/EQB :
>;0(*W%<*-,,;:Q>P%J:m78VQ%XB EF:>;%JV-VW,;=6%JtJVW0('h0>;%(:dEF:10URQ4G*O7w0(:F>;4K00(=x>P%JVWV-,;=6%JtJV80k'h0q')%J:F%J*W46:Y0(B AF7W4G>;%q,NM?>P4n
780(RQ%JVRQ,YVW,PZ[,PVW,P:Q>;4G0+4GtJE10k=Q0+=K0+'X,;RF4K0<^['·0(B *=K0+RQ,P*-254K0(>P4T%JB :U7@DB AQ46>@0mgRQ,Y=K0(*RQ4G*O7w0(:Q>P4K0(*')%(7W462k0(R10k*
Ai%JVc,P=VWEQ46RQ%*W4G:c0(B AF7846>;%d^¼2r,;B 0(*W,7w0kjQ=K0X?oJgNo
p#:=K0<{1tJEFV80?oÞ(äX*W,\'\EQ,;*O78V80k:=G%J*LVW,P*WEQ=n7w0(RQ%(*9RQ,EQ:10h,-,;>;EF>;4T%(B :RQ,;=0(=6tJ%JVW4n78'X%<tJ,;:¸,PB 7846>;%
AQ0(V80UV-,;RQ,P*LRF,*W,;46*c:Q,;EFVW%J:10k*;oz$&%J'X%<*W,%JjF*W,;VO2k0,P:v=K0(*/t(V10kB {1>;0(*cRQ,+=G0\{1tJEQVW0FIQ0UAi,;*W0(VcRQ,y]EQ,
,P=C0(=6tJ%JV-4678'X%tJ,P:&,PB 7W4G>;%\>;%J:Q*-4GtJEF,+VW,PRQEQ>;46V&=G0RQ46*-7w0k:Q>;4G0RQ,+=6%J*&>P%JVWV-,;=6%JtJV80k'h0(*rRQ,9=G%J*z4G:QRF46254GRQEF%J*
RF,\=K0XAf%(jQ=K0(>P4T%JB :0(=>;%(VWVW,P=G%Jt(V80(')0<RQ,UVW,NZ[,;V-,;:Q>P4K0FIi,;=a'),-%JVL>;%JV-VW,;=6%JtJVW0('h0<%Jj?78,;:F4GRQ%),;*-710B =G,-%J*
RF,;=&>P%JVWV-,;=6%JtJV80k'h0v')%(:Q%J*W46:Y0(B AF7W4G>P%l,NM?>P467w0kRQ%JV;opr=&0(=Gt(%JVW4n78'X%dt(,;:¸,NB 784G>P%>;%(:Q*W46tJEQ,(Ir0=G%l*-EQ'X%QI
V-,;RQEF>;4GV<,P=/:Q4n2J,;=&RQ,vVWEQ46RQ%RQ,=K0=¶DB :Q,;0lj10(*W0(=/RQ,=6%J*U>P%JVWV-,;=G%(tJV80(')0(*RQ,v=G%J*U46:QRQ4n2?46RQEQ%J*Po54G:
,P'Uj10(V-tJ%QI:Q%l.10@bAQV-,;*W,P:Q>;4G0lRQ,)EQ:AQ46>;%d*W4Gt(:Q46{1>;0k784n2J%0=G0RQ,PVW,;>w.Q0lRQ,;=z>;,PVW%y]EQ,X78,P:Qtm0l=G0(*
'X4G*-'h0k*<>@0(VW0(>P7W,;V;DB *-7W4G>@0k*^[Af%J*-4G>P4T%JB :CI¸0('XAQ=G4n78EQR~V-,;=K0|78462k0s0=G0j10(*80k=¶I&7W4G,;'XAi%RF,*-EQjQ4GRQ0bRQ,
jQ0W0(R10mg/y]EQ,,;=AF4G>;%'X%J:Q%J*-4G:Y0kB AF7846>;%U,SMF>P46780(RQ%JVPo
nm
©ø
ü
ø4ù
ø
½ÿ
TmÞ
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
B
4000
60
3000
disparos
distancia (disparos)
A
2000
1000
C
0
50
generaciones
100
D
40
20
0
−50
20
0
−50
0
tiempo (ms)
50
0
tiempo (ms)
50
60
disparos
disparos
60
40
0
tiempo (ms)
50
40
20
0
−50
OùùOòþû 4G|tJ-ößEFøú ö /úV8¶0qý&ý ?ý oßÞkû Q| øý¸ù¾ý-÷|û ö øSþ ý ߶TýzøNúWüû üÿ \ûPý öÀ÷küTûký éøcú öørú÷kûý øN[ÿ ÷ý-ùßøN|ú ù¾ùOù¾úWø ûúWÿ û qÿ Yú üúý ù¾ý úø Lþ¶Qû üTø|ýøPPöûNþ¶ú ú ßú &û|ý-þüT#/ýú @ý -úNüüû |úøPûPö ¶ö ú PNý û ý|ùO|ýOú øNþ ö¶øNøNøNüTüTüTûPû;û#þ¶öø3ý øcý ÷|ßøNþ¶þ ý ¶¶úéøNþùOüTú-û ÿý N|ý LøYYøößõ ýk/úiöý ù¾|úþù¾ø ùú ø#ú üTßûýý
ýüý ß|¶þ¶ú øPý|ù¾üTý úWúû ÿ@<øPúöü üTý û úJù¾¶è öûTû ý üT&úûPö ú éWø û;èPö üTkNý ø#ý ø#û ý-¶÷(ö þ¶?øû ú |ýøNù ùOú-þ¶ûPûÿ Yý||ø öüýû dùOû éû;/÷÷|ö#øSþ ÷kßý ýWúþföørû;üTörù¾ýaû üTý-ý ö ¶ørøNö¸ößý ý ù¾/úûþ¶ûký ø TøN@úö1ûöúýýWNöýú ú ú ýOüT|þ ûNø ú þøNú ørüTö ûP÷kþ¶ûøPý ö +øPù¾ûrõ úWû ý-ÿ cö ¶úø ú ößù¾ý-ý ú ù¾ø ý Y/ýöýWWú ö üT|¶úøNþ¶ø ø÷|ößú øýö
ýý NFû ùOûN|þ¶ùOþßú-ý û ÿ éû N|þ ø ø cøû &øNüTþ ýrPûcþ¶ý üTýOý þ¶ý kù¾ú ø Pý ý-þ¶øPù¾1úøSû þø ýWö øPüöý ÷þ¶øcú /ýü-úþ¶ö øP¶ø ö |ù¾ú ø/Pýý ßý-þ¶þ¶ý#øPù¾ý úû &ýýWö [ûNþø ú |üT|ú @ù¾úúWüû ÿ ûLû üT[ýzý ¶ù-úøNPüûLø üTPý ý Fø ý-þ¶PøPûNù¾þ¶úWúû ÿ &û
ýþ¶ýNû ý-þßý ¶|ú Pù¾úûqø ù¾û 1|øSößþ úøö ßý9øNöÀý )þßýWö ý ø wøßýWûNö þ/Nýø ||ýOößþû øNù¾úßû û\|ý-üTö ý øøüTú ký-ù¾þßúWûý ÿ |cù¾û ú ø[ýý ßúßNþ¶û#ý3ökù-û ÿøNüû ø\ßúýù¾ûPþßýþ¶ýý cû Pù þ¶ø ý /ø ø <ø#ý üCú ùOý-ûNþßþ¶ý þß|ý ù¾éúû øNýþ ø cøßþ¶ý+üTûPýö
ùOößýûNþ¶ûþßý éßû úNý þ ø ý cøhN÷(ö5ûNý þ øþßý øNNù¾úWúWûû ÿÿ /üTüTý ý k÷ûPú ù¾ö û &ý/û [ûNþ¶û;ý-ööcú ú øN|ÿ ÷ üTßú ú @ù¾úû ü ûPöYüý ø Pý ý-þ¶øPù¾úWû ÿ 5ûPøö1ú |ßý-üTþßú ú@ûNúþ ü iþ¶ûPý-öfö ßüTþ¶ýú ùONøPúüý |ø üTNûUý ý ýOþ øNwùOø ú-û ûNÿ þ
Püüýýý ý-ø þ¶øPû;ù¾øö úßû ý |ýWù¾ö ú ø\øqöüTú üTú öúøS÷köÿ ÷¶øSø ßþ¶|úûPùOù¾ö#ø ú øý ÿø f|øPúù¾örcøûPþß÷\þ¶þ¶ý ú ý /ýûP-þ¶þ¶ùOøPøøPcøöüø\Lù¾üTû Pý3|ý ýþßTý ý-ú-þ¶ýOû ÿøPþ¶hù¾ý ú|ûø ùOúøýWö ößý w|øføNþ¶ùOû ý-ú/ûø ü |UùOúéößý ý+|wøüTû û|ûNFößþ¸ýOùOþüû wý øqNý-ý þ Púéý |ÀüTüTúø û öß÷|é|ûøNøNþßû;ùOøSúö#ø þ Ný ûUüTøNwý ö ø ûNøNþö
ößùOÿ úûNþ ¶þ¶Pú þßcøý¸ý éNüTû ö ýcNþ Nößø ý ý cø/úýOLþ øNüøLùOýYúéû÷|þßøNý ý-þ¶øýOö þ¶iý ø3õ |ùO÷(úøû üTøNößýýùOú-û ÿ øq|ý-úÿ ö ßßúúùOþ /øø/úø ý ¸5PùOõ ý ûNþ¶ý-þßþ¶ý øPéûù¾öúWNûý ÿþ Uø cøüTrý ý-xö ÷(ßø ûþ øYNúûPößý ú þßú øS&ýÿ /û÷ ¶+[úùOûNý ûcþ#Pûûù¾ûPþ߶ßþ¶ý úý Núûû üTPûLþ¶øfø/cøû ÷k/ûøSþ ß/ýú÷ þaüTýWûPýüTþFýYù¾üûúúþ¶|ö ù ¶öø ý-ú |þ ßwûù¾øNú ø3þ¶ößøý ý
¶ý úéxý /÷ø PkûNûUþ¶øLú üTý /ûý+Nûö ký |ù¾PúúWüû û ÿ ø ßüTúNý ûqüTøLý-ùOößû ÷k÷ |û ößø ú WøSøNþù¾ý3éúWû û ÿ þßýW|ü øPö|ý&ù¾úù¾øù¾úþzû køý öú ú ø |ýzù úý ýOûþ üù üTø |ý Cößú w÷ø ú Cù¾/ýûú /÷÷kk¶û ýû éú ö/ýúýOþ-øNüÿ ÷ úøøßú þ¶ù¾¶ý-ûý ö ßûNþ¶øYþ¶úù-ú Pþ¶ù¾ý-úúW|ûü ÿ økùOüTù¾ýúWû ÿ kø üßüTø ý ý /ý|ù¾ûPú øö ßøÿúý &ý/÷ú (/øûPßý+öüTüTö ýý
öüýrüTú üúößø ÷|øNþß|û;øöfþ¶øNý-üùOøû PüTúý üTû;ûPöiö1ý õ \÷|üTøSýþ ø øP¶öFûTüüTúûPö ößú ûP¶öøNöùOûN|þ¶ý þßý þ¶éû û N|þ øPø ö cørNý ö Tý ý-ù ¶û#üTý øPöQù¾û |ý Túéû ý-öFú ú ú üTûNþ øNö ÿ /ýOþ¶û
¯ §¼ e pd
>O K
I³
>D¹ &
&¶ 2 J
&
6
>K
O ¯ b
6
M[
§
> > O
&
p
"´ Á´ )
j,a
l
Z
c
e
K
>
>
K
;
b K
M
>B w²
&
b
¹ ¯ >K
6O
B
³ º ¹ \
I
> K
åä
B³ § > >D¹ " B &
¹ ½
b ~ b¼
G y
][>[
> · æ ªL
"
¹ "·ê >KO¼ pd
j l
U[
>O > b K O
y
p· y > · wL
;
§ V ¹ µ·ê K¼
µ > p· > B º O
{Â
>
j&Spº]F[fQR>N
][QRWêl
K ³O
\ I b¼
\ © F¹
b e y © ¾ » >
ã >
K d uä¹ ¾ © d
\
]DQ\R
b · I
O 2¹ = &
ç
¹w¾
\ç ç
a Ã[[
U[
] U[>[
U[
p ; > ß
½³ b
> O
KO &
I
&
K
>
8 5
"6 b
f b¼
b j
> · I &
O 2yã >K &
¹
l
pd
O
O
0
> O
8¹w·ê b
bK ¹f
¶ d \
Á ¶
©²e > "
b
y Á »
¹A > G
>K
> ³
> ³
O
³ ; ]~QR
&K µ½K ¼
)L J L
b V w · >
K
j8
´
½
> M [[>[ l
c
©mª;j5ª Ç 9£® ¥&¨c¯¨L¬v¯®« £¦ ¬C­¦®r¯ ¡ ¯® ¨c±9®Dk+¤N¨c± ¡ ¯¨Y¬
TJH
|ò/ýøN4Gö¶tJøNEQüTûPVWû#þ¸0ý üT?ú ö o¶ÞJø ?kù¾øNú ùOøõ ú-û Nÿ ø û x/ûkù¾ûNù¾;þ¶úWöûþ¶ÿ ¶ý<þ¶øPû üTüTNý û#þ ø éý cøû;ö¸ùOø &ûûNþ¶þßý éûPþ¶û ößø Nú þ øøSÿ cø÷ ¶NúùOöûø ý ý û ù¾|ú ¶ý-øSøPö þ ßüTNþ ûNûø þ¸üTüTéý û;ýLöiþ¶øNùOý ö ûNý-þ¶Nþßþßý ýý |éû ýOù¾Nþ ú øNøþ øùOúécøû Ný-öFörþ üTø ýüý ûPö ø /ýNûP[þßûNúüþ¶ý-/ûý-ö¶ö1üTú ý |ý üTNøú û @úNü ý ¶|ú PûPý û ö
þ¶NøPý ù¾|úWýOû ÿ þ øNù¾úû |ý-ý-ö ö ßú |û ø3¶ø ö ÷(ýOþ¶úéPûPý þý-ú þ¶øPù¾úúûýOþüýWø ö ø ø ý N|ý ø |ýOþ ý øNéù¾ú /úúWû ÿ køNüTû éû;ý-öö ý [ý-ú |ö øLú øPý-öþßýúûNßúþüTýOý þ¶ý-øNù öküTø ýcJùOý øPqüø3ú ùO¶ûNýOþþ¶wþßýø éûûPNöþ üTø ýcø
÷|øSþ ø |ø /ø PûNþiù øNþßú üøPücüTý ø þ¶ø ÿ /ýOþ¶ûzüTýüTúöß÷|øNþßû;ö1þßýWù¾û Nú üTûPöQý ÷|øNþ¶ø ßûTüTûPö éû;öiùOûNþ¶þßý éû Nþ ø cøNö
> y
> Á E d
B³O
>G §
B >
J e³ b "
U M^
b > O
j
d &
¶
@ d
^¾j
l
][[Ej
8¹
J " y
§¼
j
M>U
l j
º ½ n
e º> >
M [[[ l
K
6 >
&
O > e f b¼
O
· ¹~
æ
I \
U M^ l
O·
0
¹ > d l
^
E
+ > I´
º
)
>
c
T(
¡+¢¤;£ ¥9¦§z¨©]ª}« £¦ ¬x­X¦a®r¯ ¡ ¯®°L®r¯®z¬ ¡ §¥®r°3± ¡ ¥a¤T² ¡ ¬
B
50
40
30
30
20
10
C
0
−50
0
tiempo (ms)
50
D
0
−50
0
tiempo (ms)
50
50
100 150
generaciones
200
8000
40
distancia
6000
30
20
10
0
−50
20
10
50
disparos
50
40
disparos
disparos
A
0
tiempo (ms)
50
4000
2000
0
1
øùOòý ¶4GtJýO¶þ EFø |[V8ø ýc0d¶úüTP?ý ûPoöÞ(äFýø | þß/ûû |ý-øNö öû;öú ú øNüTøNÿ ú ÷û;ßö#úúüù¾üTûNûcý þ øNý öT|ùOø+ú øNý üT[ý-ûPù þ kù¾úWû ÿÿ U&ýÿ /ý-üTOþßý ûþ¶iûLüTø üTý Pý ûNPþ¶ý ú ý/ûý-þ¶þ¶ûøP|ù¾PúøPû ý öCüTýWý ÿ ößý ú ù¾û9øcþ¶÷|ý-øSü þ ø ÷|øøSú üTþ øcûkÿ ùOößö øPú üøNøcÿ ýW÷ üú ß|ø+ú ù¾üTû+üTú ;ýY÷|ú ü ù¾øNû þ¶ûøý ßTûTúüû |øPöøPQüTûPûPøNþ öö
|ý ÿ/ýþ¶û O|þ¶ûøPö üTFýcüTú ÷|ö ¶øPþßöú û;ö#|ùOüTú-ýYû ÿ Yöú ø ý-ø øP¶ûNù¾úWþ¶û úÿ ø \÷|øSú þûPø+þ /ýùOøNü|ø3ý Yþ¶ý-ý ü(þ ø Pû ÿ /ýOþ¶ûüTýcú |ÿ üT/ýú @-úþßü û&|üTûPýaörüTüTúý ö÷kø+øSþ¶÷(ûPö1û ý øNùOú-û ÿ
Qfûþ WøNø ù¾/úúWû ÿé&ý ú ßû úÀùOúù-ø øNüPø ý Pý-ý þ¶øPüüTøý ø#÷|ú [øSû3þ ßöúýþiüTPýý ý-|þ¶ørø&ößø/ý /ú÷|øSþ ßø#úþù¾üTû Yý ù¾ûPûNö þ¶þ¶Pý ý øNù¾ýWúWöû ÿ üT&ýrüTøýaøPù(ßûPú @öCú÷|ü|øPøNüTüTþßýWýWöÀö üTký ù¾û /û wößúø ûNþú ký ùO+ø ßý-ú wö ßø ý
úý Tß÷ký-û þ wø ý |û ùOúø õ ý Pÿ ø /ý¶úOwþ¶ø#û3üTüTýaý¸÷|ú øSkþ(üTø ÿú /ý@ú ü ¶þßû;û öø QûPþ¶ùOøSý þ¶ý ø q[ýxù-øNüTüý ø NýP|ý ý-öý-þ¶øPù¾úW¶û ÿ øPüTûPößýzö1ý ýWYößùOùOû øP[üýzøüTúý küTú|@ø3ú ü üTúûö ßþ¶úý|öù¾ýúWû ÿ ýWößùOø û [ý-ýø ¶÷|ûNøNþ¶þ¶úøø
üø |ý ö߶û ø øNþ w¶ø øPéöú üTüTý rý üFøNýzø ö cøùO|øP9øNü|Úþßø/þû øNú ökcøüTüTú ýT@úú é/ûü û;öqûYù¾üûNößýý þ¶þ¶ßý øPû öûcøNþ ø cø¶|øPPø ù¾ö úû "|ýWùOö ú-÷|û ÿ øSþ ßüTúþ#ýzüTüTüTý ú ý ö ¶øø wkø Nù¾ý ûNú ø þ ýOþÿ|øNøùOýzú-Tû ùOÿ ú /ûø ùqü]ø ý öý/øYPù¾ýö û |cøöú c1üTý-øSüTþ¶þ ý ø3ø ö|øNûøöÿ éû üTý 8ú øø3ýOþ¶kþ¶ý ýøNkNù¾ù¾úWúWú ûû øNÿÿ ö
þ¶/ûüý ý Àý-þß÷ûPý ú öß|ù¾ú û+ù¾aú øSøcÿ÷|÷ øN÷|¶þ¶úøNø9ùOþ¶ûqø/ý Àý ýWù]ö ùOø ÿ øcú ù øNý [üTéýWûûPù þ |üTùOý ú-ù¾û ûÿ qø+üTüTúûPý ö Fö ¶øø w|øPù¾ûNúûNøþ¶þ¶ú ý-ö&&ûú üTßýOý Pþ ýwéû;Cø ö/ý ÿ û ß÷|ú ù¾øSû þ(|ø ÿ /ý÷þ¶ûTßù¾þ¶ýWûPüTörý ýWö ß(ý¸øcÿ |üTõ ü|ý øSþ kiøLý öößý ùOû ýOøY÷ ¶|öûý-ú ö ýßþ ø3þøPù¾ý úúWiüTû ÿ ù¾ûUûPþßüTüTþ¶ýý ý û Pþ¶ù¾ø úcøþ |ù Yý9ú üTßýWûýö
|÷kûøS/ûþ ø 1ø ý ÿ Ný-ý ûYýOý þ \øNùOý ú-1û ÿ ú ßüTý-ý þ wø9ø û ÷kû øNù¾úWû ÿ Uú ú ù¾ú ø cüTú õö ¶ø k}ù¾ú ø+öý ý |ù |Gÿý-üTö ýWßøþ øLý ý Àù¾ûNø3þ¶þ¶þ¶ýý Pû ú-Nû ÿ þ\ø cøüý ÀP÷ý ú ù¾û ý-þ¶/ûøPüTûLûP÷(ößûNú aþ øSÿ ÷ø3¶ößúùOý û /ú üTøý
ýWüö ú¶ö ¶ýLø ù¾|ûPù¾þßú øþ¶ý ø û TPù¾þ¶ûNø þ¶cøþ¶ý 3û Nø þfø ù¾cøûPþßþ¶ýüTýCû Pþ¶ýþ¶ø ý-cøþßý 3|ù¾üTú ýLøaûþßý ßýOý þ¶ý |ú üTùOûúø ý ø<ÿ ß+ú /øõ Pý ý-öþ¶ý øPù¾úWû ÿ zýWüTö ¶ý þ¶ø+ø ý NxûPùOþßûNú þ¶/ûþßý éû PNý þ Cø ý ÿcøßú 3ù¾û ùOû üTú ö /ýø ||ùOûNúø þ
ýý |ù ý KÿFüTùOý-øSøY÷?ý ÿ ûøYþ¶ý Pú-õû ÿ üTý Qöß÷ý ú ù¾û ý-ö ßþ ø øYý ý NFû ÷kú ù¾ù¾ûLúWû ÿ û üTßý ý ú øYüTû üTú ö û3ø ý-|öùOúöøcú ø |?ú kùOûNù-þ¶ø þ߶ý ú Péû û Nþ ößø ý cøCzÿ üTýzý 1þßýùOþßýOú ßþ¶ý-ý þß|úùOûYúøcý-ö üT¶ýø /ýý-ù¾ú[üTûPû þ
ú||úüTüTúûz@÷úü þßýWûzöý üTý¶ø ùOøNü|Yø ùONûNýþ¶þß|ý ýOéþû øNNù¾þ úWø û ÿ cøOI |ýöTýOÿ öþ ýaNýWø öéýý ø#ù¾ý û @|ø#öú ÷(üTý-ý-ö¶þ¶øSø þxéüTý ý /ý ý ßýørüTýüTkú ö ùO¶ûNø þ¶kþßù¾ý úéø#û NüTþ ý-ø ù-cøøSý ;/ûý /ý|ûPöß[úûNþføNÿ ú ÷ kßüTú ù¾ú @û#ú üý ù¾ûrú ¶û øNüßûNý þ
üý#þßý ýOþ¶ý |ùOúø
" b¼ pd @ y yK &
> &p
p d ~ O
p
½ ³
O
eL b
j
l
¼
B >
K
B
O
º
M[
M[>[
§ K > p· &
I´ S MN]NaNb^OÃwQįW
c M [[>[
³
D
O
B
K
>D
M[>[ [[[
][>[
L >K
&
;
>
;´ 6´
Z
c
ã d¶
G ~ ¼
º &
½ ³K
¹ "\ b
& { O
³O
B ¼
6
b K > wL
¼
; f6O
O ³
¼
M
6O ÁÙ Á I ½6O
)
6
)
D
L
@
a
][
½ " ¶
O
º > " G·ê >
b B>
G &
½
· K O
" µK
"
²
&
" @ >
¹
>
> y
U[
B
b d åä
"³ b
j
Spº]F[N"][fQ\RWÞl
· § §¼ > pd B 2¹
³
³
³
> O
p
>| G § F¹ O &
´ ¹4>
j
Z
& çæ
"³ b
" º
S MN]NaN&^=ÃwQ\įWêl
@ y >
I
>K
b »
>
\ > O
¸
j
l
§
·
¹ ß
³ §
> MaP ]
b · >KO 6 µ & ; § ¸
»
Á
> 2
¹
>KO
p b K
][^ >¸
j
½6 b " > ½
§ > · ~ §¼
» d a>l ) 5
~ ¯K d ¹
; ;
b ¹ 2 §¼
O >KO
> ¯
b¼
>
K > e O
·
