Biological and Artificial Neurons Michael J. Watts mike.watts.nz
2014-2015 Seminar Series: Michael Watts
Transcript of 2014-2015 Seminar Series: Michael Watts
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8/11/2019 2014-2015 Seminar Series: Michael Watts
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 1
!"#$%"#&' )*+ !)',&$-.)/&>1.'"47"="*1. 31'.91=8
>1.7)&/ 25 ;):8>)88).798&:8 6*8?=9=& "0 C IHBEK
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 4
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 7
;71.7 1.'"4'".&88"'8 ^ 3>Q- O".)/ %/)*& C'')N 6G),&'8
T184/)N8
! -1G9/)?"*@ %G"MC%M I H&(;1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =
>1.'"47"="*1.8@ C %)=7 Q-! J1,7 6*+&Y 3"*=')8=@D&'@8 L^5 F8O L:5 2*( 8;1.'"'1*,8@ %*56#:$? J';@;(&:S*'#
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 3
)='1.&8 5 5 5
>1.'"&/&.='"*1.8 -.)/1*,>1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 9
1.'"&/&.='"*1.8 -.)/1*,>1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
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7/52Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 8
%"/)'1R)?"* -4/1:&'$2"=)="'
%"/)'1R)?"* -4/1:&'$2"=)="'! 6G4).=@%#' 2(&&
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8/52Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 2
1.'"&/&.='"*1.8 -.)/1*,>1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
1 '"&/& '"*1 8 )/1*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 5
39''&*= >"+&/1*,@ !1A')'N$S)8&+ T&81,* 1* 3CTDU3D2&.&1W&'
"#$# %&'$&( )(*+$,D/&.='"*1.$%7"="*1. 3"$T&81,*! 3CTDU3D@G"+9/)="'
%2S- ]"/=),&
O1/=&'
2&.&1W&'
hO b&J? %O dO X*(#:&3GB#84#(? YO eO n# k($'&(? dO EO g#m8? #'@ HO X$*j#'*F;:fM1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
>1 '"&/& '"*1 8 )/1*6* '" 9 ?"*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 1>
S&*&Z=8 "0 EIIGG ;)0&'$-.)/& %'".&881*,"#$# %&'$&( )(*+$,1.'"&/&.='"*1.8 -.)/1*,>1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
6* '" 9 ?"* >1 '"&/& '"*1 8 )/1*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 11
1.'"&/&.='"*1.8 -.)/1*,>1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6* '"+9 ?"* >1 '"&/& ='"*1 8 )/1*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 14
3)''1&'$6*\&.?"*$S)8&+ T&W1.&8
\O eJ? DO X:,5;@$? XO N(#@,#'? #'@ dO b;68*'? qd;:(*5&$(&38:#? QL==A]O
! T)=) 2)=&@-OA)KV8? ,;B,&(86&&@8 +;$, 6(&3&56,#8;8
! %"#&' 3"*89G4?"*@ r-=6hVK;$! -1R&@" s -L^5 QG r-L=^5 L] ! 6G4).=@XS
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 17
T&4/&?"* S)8&+ T&W1.&@ 6G4"'=)*.& "0 3)4).1=)*.&
9.2 3.7 =.= 7.8 7.4 4.2
1>4
1>=
1>9
Ircc Wpcgtraf Ta`hc Z]Bz_
1.3 4 4.3 7 7.3 = =.3 31>
1
1>4
1>7
1>=
1>3
1>9
1>8
Tameus Z o_
E ` t c r ` a
f Q
r ? 3 !
o
C r
r ? 4 !
o
C r
C r
r ? 4 !
o
T e m h c T
c s l ` a t l
r E `
t c r e l
r T e m
h c T c s
l ` a t
l r
! " # ! Q
Ylfuoc?
GY
Ylfuoc
3)''1&' T&4/&?"*
6*+9.&+ O'&d9&*.N -71g
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
>1. &/&.= *1.8 -.)/1*,>1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6*='"+9 ?"* >1 '"&/& ='"*1 8 )/1*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 1=
2&8"*)*= >"+9/)="'8
"#$# %&'$&( )(*+$,2&89/=8! T)=) 2)=&@ -=)KV8
'* 6(&3&56,#8;8 ! %"#&'@i=2hVK;$! -1R&@ " s /^5?
G s -L^5 L dO EO g#m8? gO GO t*($5#'u? "O %O 1(*m&(? EO gO v*J'B? #'@ GO bO b&'S'&? qH&(S:#< hJ':S*' X;1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
6*='"+9 ?"* >1 '"&/& ='"*1 8 - )/1*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 13
C* 6G4'"W&+ T&81,* mc98= E0cVA1=i
6*= +9.? *3"GG9*1.)?"*8
%7)8&+ C'')N83"*./981"*8
>1. &/&.= 1.8 -.)/1 ,>1.'"47"="*1.8M =7& %)8=>1.'"47"="*1.8M =7& O9=9'&>1.'"47"="*1.8M ) !"# %"#&' L*1= 3&//
wm ?4 ! q@
Y + " D( )
# $ % # wm C swetgbe`h ? GY
4
>1 '"&/& ='"*1 8 - )/1*6*='"+9 ?"*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 19
%"#&' 3"*89G4?"*@ >"+9/)="'8M ) L*1= 3&// 5 5 5
MO 1;5J(@*B&' &$ #
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 18
T)=) 3&*=&' DY4)*81"* )*+ %"#&' 3"*89G4?"*
T)=) 3&*=&' %"#&' 3"*89G4?"*! >).71*& -.)/&@ M'*(5*J8 5#:,;'&8 :*8$ x-D? 6*+&(&@ K9 -3
5;"+9/)="'8 O1/=&'8!)8&'8T&=&.="'8 6*=&,')?"*
6*='"+9.?"* >"?W)?"*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 12
QP$3714 3"GG9*1.)?"*8
"#$# %&'$&( )(*+$,!)',& -#1=.7 37148 V %'".&88"'8 )/'&)+N &Y.&&+ n
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 15
;7)= CA"9= Q*$3714 3"GG9*1.)?"*8 m6*=')$3714ih
"#$# %&'$&( )(*+$,;1'&+ 3"GG9*1.)?"*8 "* 3714 ! S)*+#1+=7@G$ T'5 '*@&? *F&( -6&$#K;$V8 *'
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 4>
)1*=)1*1*, 2&8"*)*.& %"81?"* 37)//&*,1*,! 1.'"47"="*1. ;T> 3&//
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 41
>)[1*, 3"*=).= #1=7 C+1)A)?. S&*+8
3"GG9*1.)?"*8%7)8&+ C'')N8
3"*./981"*8
)>"+9/)="'8 O1/=&'8!)8&'8T&=&.="'8 6*=&,')?"*
6*='"+9.?"* >"?W)?"*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 44
C+1)A)?. 2&8"*)*= >1.'"'1*,8 mC2>8i
C U 2&8"*)="' 3/)88M C+1)A)?. >1.'"'1*,8
! X@D&'@
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 47
6*=&,')=&+ J&)=&'8 mnnb;Ve3M "' knn0cVA1=i
3"GG9*1.)?"*8%7)8&+ C'')N8
3"*./981"*8
>"+9/)="'8 O1/=&'8!)8&'8T&=&.="'8 6*=&,')?"*
6*='"+9.?"* >"?W)?"*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 4=
;)W&/&*,=7 2&."W&'N )*+ 3"*='"/ mD5
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 43
6*=&,')=&+ J&)=&'8 )*+
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 49
] b r u
E ` p u t > .= ! o
3 . = ! o
> . 4 ! o
> . 4 4 ! o
B c a t c r Y c
r t e g a
f K u `
g t e l `
C+1)A)?. >1."'1*, >"+9/)="' #1=7
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 48
]&'?.)/ c9*.?"*M !"# 2&818=)*.&M !)',& DP&.=
"#$# %&'$&( )(*+$,2&89/=8! D$Q 2&84"*8&@LA=65VH Q7=)RPVH]?
>e "+9/)="'8 O1/=&'8!)8&'8T&=&.="'8 6*=&,')?"*
6*='"+9.?"* >"?W)?"*" 9/) "'8 ^ O1/ &'8
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 42
%"#&' 3"*89G4?"*@ "+9/)="'8 O1/=&'8!)8&'8T&=&.="'8 6*=&,')?"*
6*='"+9.?"*3"GG9*1 )?"*8
>"?W)?"*" 9/) "'8 ^ O1/ &'8
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 45
6*=&,')?"* "0 =7& -"9'.&
c5 D5 S"#&'8 &=5 )/5M Q4?.8 )*+ %7"="*1.8 UM 4 H`$EEM>)N BM HIBI5
666$] -1/1."*JNA'1+ !)8&'
T1'&.= 6*=&,')?"*"0 )* D'A19G +"4&+
!)8&'
%9'*)#1'G)* &=5 )/5M ()$* +',* E` mBBiM HIBE5
3"GG9*1.)?"*8%7)8&+ C'')N8
3"*./981"*8
>"+9/)="'8 O1/=&'8!)8&'8T&=&.="'8 6*=&,')?"*
6*='"+9.?"*3"GG9*1 )?"*8
>"?W)?"*>"+9/) "'8 ^ O1/ &'8
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 7>
>&)89'&+ F)1* 1* -1/1."* U1='1+& ;)W&,91+&8
!"
!"$ %
&'()* %$ +
!"+, - !"$ %
. />
#56
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 71
%"#&' 3"*89G4?"*@ !)8&'8
- 1 U
D ' V l A $ + " 4 & + Q Y 1 + &
- 1
- 1 > " + 9 / ) = " '
K I 4 9 G 4
B$/)8&' 4).[),1*,
TOS /)8&' G&)89'&G&*=8
NJ('#+;(5#'? hO XJ'? 1O CO G@#5? )O b&? "O %**
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 74
%"#&' 3"*89G4?"*@ 2&.&1W&'8 m#&//M 8&*81?W1=N
3"GG9*1.)?"*8%7)8&+ C'')N8
3"*./981"*8
> +9/)= 8 O1/=& 8!)8&'8T&=&.="'8 6*=&,')?"*
6*='"+9.?"*3"GG9*1 )?"*8
>"?W)?"*>"+9/)="'8 ^ O1/=&'8
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 77
>6< ET D/&.='"*1.$%7"="*1. %'".&88
3 GG9*1.)? *8%7)8&+ C'')N8
3"*./981"*8
> +9/)= 8 O1/=& 8!)8&'8T&=&.="'8 6*=&,')?"*
6*='"+9.?"*3"GG9*1 )?"*8
>"?W)?"*>"+9/)="'8 ^ O1/=&'8
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 7=
D/&.='"*1.$%7"="*1. %"#&' 3"*89G4?"*
-.)/1*, %"#&' "0 ) !1*[ ! `*G U"+&@ M_6&:$ $*
%*'8J5& ~LA2hVK;$
;':
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 73
%7)8&+ C'')N8Et bam afways sccocm olst mcseradfc tl oc tl tra`soet tbc wavcs, e` tbcoae`, e` l`c mercgtel`.
p5 O5 S')9* ?"#$%& (%)*+,% ? -.=.
+++O5;:(*+#F&8-=-O:*5
3 GG9 1.)? 8%7)8&+ C'')N8
3"*./981"*8
C C.?W& %7)8&+ C )NC !)',& -.)/& T&G"*8=')?"*!6TC2
6*='"+9.?"*3"GG9*1 )?"*8
C L*1= 3&//C* C ?W& %7)8&+ C'')N
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 79
C L*1= 3&//C L*1= 3&//
3"*8='9.=&+ "0 )
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 78
C.?W& %7)8&+ C'')N
3 GG9 1.)? 8%7)8&+ C'')N8
3"*./981"*8
C C.?W& %7)8& C )NC !)',& -.)/& T&G"*8=')?"*!6TC2
6*='"+9.?"*3"GG9*1.)?"*8
C L*1= 3&//C* C.?W& %7)8&+ C'')N
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 72
C.?W& Q4?.)/ %7)8&+ C'')N T&G"*8=')?"*
3 GG9 1.)? 8%7)8&+ C'')N8
3"*./981"*8
) )C !)',& -.)/& T&G"*8=')?"*!6TC2
6*='"+9.?"*3"GG9*1.)?"*8
C L*1= 3&//C* C.?W& %7)8&+ C'')N
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 75
!)',& -.)/& U)*"47"="*1.8 %7)8&+ C'')N
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =>
L8& "0 ) %7)8& 2&='1&W)/ C/,"'1=7Gqnrqn %7)8&+ C'')N
U&)'$Z&/+ %7)8&
O)'$Z&/+ 6*=&*81=N
%7)8&+ C'')N I %7)8&+ C'')N B %7)8&+ C'')N H %7)8&+ C'')N E
)%7)8&+ C'')N8
3"*./981"*8
) )C !)',& -.)/& T&G"*8=')?"*!6TC2
6*='"+9.?"*3"GG9*1.)?"*8
C L*1= 3&//C* C.?W& %7)8&+ C'')N
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =1
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =4
C*"=7&' DY)G4/&
h;& XJ'? MO 1;5J(@*B#'? GO v##:*K;? tO XJ? MO XO R*88&;';? "O DO %*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =7
CG4/1=9+& 3"+&+ C*=&**) C'')N
h;& XJ'? MO XO R*88&;';? GO v##:*K;? "ODO %*
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup ==
;1=7 %7)8& )*+ CG4/1=9+& J"/",')471. T184/)N8
! ET 3>Q- V %7"="*1.8! %1Y&/8@-=3K;
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =3
!6TC2 0"' C9="*"G"98 ]&71./&8%7)8&+ C'')N8
3"*./981"*8C !)',& -.)/& T&G"*8=')?"*!6TC2
6*='"+9.?"*3"GG9*1.)?"*8
C L*1= 3&//C* C.?W& %7)8&+ C'')N
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =9
A. Uaaglde, K. Wu`, O. Olrcsgl, H. Fcajc, M. Gllfdauhb, a`m O. T. Xatts,E`tchratcm pbascm array ilr wemc a`hfc dcao stccre`h, Lpt. Fctt. e` prcss (4>1=)
;1+&$-=&&'1*, 2)*,& maBei
J1,7$-4&&+Q4&')?"*
1e Ee
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8/11/2019 2014-2015 Seminar Series: Michael Watts
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =8
>1.'"#)W& %7"="*1.8
%7)8&+ C'')N83"*./981"*8
C.[*"#/&+,&G&*=8
GO D;K&(5#'? dO X,#+? MO 1;5J(@*B#'? hO g(;B,$? #'@ dO g#m8?DO q[
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =2-=V7V-/
F(i 4 ) ? F(i 1)4>Flh i 4i 1
! " #
$ % &
O'&d9&*.N T1W181"*
F(i ) ? 1>Flh j] 2^
>
i Q
!i
"
# $
%
& '
4(
)
*
*
+
,
-
-
!&&8"*_8 Dd9)?"*Qd;:(*+#F& c8:;
i
Q! i
"
# $
%
& '
4(
)**
+
,--
-.7)#/"#$5 -5 p1'.7*&'M O5 X91*/)*M c5
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8/11/2019 2014-2015 Seminar Series: Michael Watts
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup =5
3)* =7& Q8.1//)="' A& 6*=&,')=&+ mTC2%C D$%J6i%7)8&+ C'')N8
3"*./981"*8C.[*"#/&+,&G&*=8
6*='"+9.?"*3"GG9*1.)?"*8
%7)8&+ C'')N8
O9=9'& C44/1.)?"*8-.)/1*,
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Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 3>
-&*81*, ^ 6G),1*,@ C*"=7&' -='&*,=7 "0 %7"="*1.8
! J1,7$X@M'#K
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8/11/2019 2014-2015 Seminar Series: Michael Watts
51/52
Tcscargb Fadlratlryli Cfcgtrl`egs at OE]
A] OE]Oegbacf T. Xatts ^bltl`eg Oegrlsystcos Hrlup 31
%7"="*1.8 -.)/1*, t
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C.[*"#/&+,&G&*=8"#$# %&'$&( )(*+$,C.[*"#/&+,&G&*=8
! &GA&'8@M,8#' R*88&;'; - ? "#F;@ %*6