.ds CC "
.nr PS 10
.nr FU 0.0i	\" priniter prints this much too low
.nr VS 11
.ds Q `\h'-0.02i'`
.ds U '\h'-0.02i''
.ds `` `\h'-0.02i'`
.ds '' '\h'-0.02i''
.\" footnote stuff
.nr * 0 1
.ds [. \|[
.ds .] ]
.if t .ds [, \s-2\v'-.4m'\f2
.if n .ds [, [
.if t .ds ,] \v'.4m'\s+2\fP
.if n .ds ,] ]
.ds * \*([,\\n+*\*(,]
.ds [o ``
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.ev 1
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.PP
..
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.LP
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..
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.if n .sp
.ne 1
.in 0
.nr Ia 0
.nr Ic 0
.fi
..
.de IP
.if t .sp 0.3
.if n .sp
.\" Ia = total indent for this guy
.\" Ib = .ti value for this guy
.\" Ic = auxiliary indent
.nr Ib 0.0i
.if \\n(Ia=0 .nr Ia 0.2i
.if !\\$1 \{\
.   nr Ia \w\\$1\ \ u
.   nr Ib \\n(Ia
.\}
.if !\\$2 .nr Ia \\$2n
.in \\n(Iau
.in +\\n(Icu
.ti -\\n(Ibu
.if !\\$1 \{\
\&\\$1\ \ \c
.\}
..
.de QP
.IP
..
.de RS
.nr Ic +0.2i
..
.de RE
.nr Ic -0.2i
..
.de PN
.rs
'sp |10.4i-\\n(FUu
.rs
'sp |10.4i-\\n(FUu	 \" how many traps could there be?
.rs
'sp |10.4i-\\n(FUu
.PO
'ie e \{\
.ev 2
.\".if t 'tl \s10\f3%\\*(CC\fP\s0
.ev
'\}
'el \{\
.ev 2
.\".if t 'tl \s10\f3\\*(CC%\fP\s0
.ev
'\}
.po
.wh 0 hh
'bp
..
.de ff
.nr dn 0
.if \\nx \{\
. ev 1
. vs \\n(VVu
. mk QR
' nr QS 11i+0.5v-1u+\\nyu
' if \\n(QS>\\n(QR 'if t 'sp |\\n(QSu
. nf
. FN	\" print the footnotes
. vs
. rm FN
. if \\n(.zfy .br\" end overflow diversion
. if \\n(.zfy .di\" end overflow diversion
. nr x 0 1
. ev
.\}
.nr N +1
.if \n(dn .fz	\" leftover footnote
.ie \\nN<\\nC \{\
'  if t 'sp |\\nTu
'  ns
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.\}
.el \{\
.  rF
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.  PO
.  nr N 0
.\}
.nr y 0-\\nb
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.if t .wh \\n(QQu ff
.if n .wh 66 ff
.wh 12i fx
.ch fx \\n(QQu
.if \\n(dn .fz
..
.de fz   \" get leftover footnote
.FS \&
.nf
.fy
.FE
..
.de fx	 \" footnote overflow processing
.if \\nx .di fy
..
.de FS	\" start a footnote
.if \\n(.t<=1.7v .ne 2
.da FN
.nr YY \\n(.lu
.ev 1
.if t .ll \\n(YYu
.if n .ll 70
.if \\n+x=1 .fs
.fi
.ie \\$1 \ \ \*([,\\n*\*(,]\c
.el \ \ \*([,\\$1\*(,]\c
.ps -1
.vs -1
.nr VV \\n(.v
..
.de FE
.br
.ps +1
.vs +1
.ev
.da
.nr y -\\n(dn
.nr QR 11i-1v-1u+\\nyu   \" y is negative
.ie \\n(nlu+1v<\\n(QRu .ch ff \\n(QRu
.el .ch ff \\n(nlu+1v
..
.de fs
.br
.vs \\n(VS
\v'-0.4v'\s16\D'l 1.5i 0'\s0
.sp -0.4v
.vs
..
.de PO
.if t \{\
.ie e .po 1.20i
.el   .po 1.20i
.\}
.if n .po 0
..
.de NC
'PO
.if t 'll \\n(LLu
.if n 'll 78
'nr N 0
..
.de 2C
.br
.nr LL 2.85i
'NC
'nr C 2
'mk T
'ns
..
.de 1C
.br
.if t .nr LL 6.5i
.if n .nr LL 78
.NC
'nr C 1
'mk T
'ns
..
.de rF	\" reset footer to nominal
.nr b 1.0i+\\n(FUu	\" nominal footer place
..
.rF
'nr x 0 1	\" init:
.nr y 0-\nb
.pl 11i
.nr QQ 11i+\ny
.wh \n(QQu ff
.wh 12i fx
.ch fx \n(QQu
.de hh
'rs
'if t 'sp |0.5i-\\n(FUu
.PO
'ie e \{\
.ev 2
'if t 'tl \s10\f3\\*(T2\\*(A2\fP\s0
.ev
'\}
'el \{\
.ev 2
'if t 'tl \s10\f3\\*(A2\\*(T2\fP\s0
.ev
'\}
'if t 'sp |1i-\\n(FUu
'mk T
'ns
'nr x 0 1	\" number of footnotes
.nr y 0-\\nb
.nr QQ 11i+\\ny
.ch ff
.wh \\n(QQu ff
.ch fx
.wh 12i fx
.ch fx \\n(QQu
..
.\"-------------------
.de TI
.nh
.rs
.in 0i
.nr % \\$1
.fi
.nr QS \\n(.lu
.ll 100i
.ps 14
.vs 17
.ft 3
.ds TT \\
..
.de AA
.nr DL \w\\*(TT
.nr NN 1
.nr NL \\n(QSu-1i	\" a nice line length for title
.if \\n(NLu*\\n(NNu<\\n(DLu .nr NN +1
.if \\n(NLu*\\n(NNu<\\n(DLu .nr NN +1
.if \\n(NLu*\\n(NNu<\\n(DLu .nr NN +1
.if \\n(NLu*\\n(NNu<\\n(DLu .nr NN +1
.if \\n(NLu*\\n(NNu<\\n(DLu .nr NN +1
.nr QR (\\n(DLu/\\n(NNu)+0.75i	\" +.75 cuz words don't always balance
.ll \\n(QRu
.di TU
.ad l
\\*(TT
.br
.di
.sp |1.0i-\\n(FUu
.nr NP 0
.if \\n(QSu>\\n(QRu .nr NP (\\n(QSu-\\n(QRu)/2u
.po +\\n(NPu
.ce 999
.TU
.ce 0
.po
.ll \\n(QSu
.sp 0.1i
.ft 1
.ps 12
.vs 14
.sp 0.5
..
.de A		\" .A "Brian Author" "Affiliation"
.in 0
.ie !\\$2 \{\
.ce
\f1\\$1
.ce
\f2\\$2
.\}
.el \{\
.ce
\f1\\$1\f2
.\}
..
.de AB
.sp 0.20i
.po +0.5i
.ll -1.125i
.ce
\f3\s12ABSTRACT\s0\f1
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.ad b
.fi
..
.de EA
.sp
.if t .2C
.if n .1C
.hy 14
..
.de AE
.EA
..
.de SH
.br
.in 0
.di St
.ft 3
.it 1 S2
..
.de SH
.NH "\\$1" "\\$2" "\\$3"
..
.de S2
.br
.di
.sp 0.75
.ne 3
.ce
.St
.br
.ft 1
.sp 0.5
.ns
..
.de NH
.br
.ne 2
.in 0
.nr Ia 0
.nr Ic 0
.fi
.nr L 1
.if !\\$1 .nr L \\$1\" level
.if \\nL1 .ft 3
.if \\nL2 .ft 3
.if \\nL3 .ft 2
.di Nt
.in 0.3i
.ti 0
.it 1 N2
..
.de N2
.br
.in 0
.di
.if t .if \\nL1 .sp 0.75
.if t .if \\nL2 .sp 0.25
.if t .if \\nL3 .sp 0.25
.if t .if \\nL4 .sp 0.25
.if n .sp
.ne 3
.if \\nL1 .ce
.Nt
.br
.ft 1
.if t .if \\nL1 .sp 0.50
.if t .if \\nL2 .sp 0.25
.if t .if \\nL3 .sp 0.25
.if t .if \\nL4 .sp 0.25
.if n .sp
.ns
..
.de XP
.sp 0.5
.ne 2
.in \w[3]\ \ u
.ti 0
.ns
..
.de I
.nr PQ \\n(.f
.ft 2
.if !"\\$1"" \&\\$1\\f\\n(PQ\\$2
..
.de R
.ft 1
..
.de B
.nr PQ \\n(.f
.ft 3
.if !\\$1 \&\\$1\\f\\n(PQ\\$2
..
.de T
.nr PQ \\n(.f
.if !\\$1 \&\\$3\f(CW\\$1\\f\\n(PQ\\$2
..
.de Ds
'sp 0.4
'nr DY \\n(.i
'in 0.1i
.if !\\$1 .in \\$1
.ft CW
.nf
..
.de DS
.br
.Ds \\$1
..
.de DE
.br
.De
..
.de De
'sp 0.4
.in \\n(DYu
.ft 1
.fi
..
.de np
.br
.in \w\(bu\ \ u
.ti -\w\(bu\ \ u
\(bu\ \ \c
..
.de lp
.br
.in 0
..
.de TS
.br
.ul 0
.sp 0.5
..
.de TE
.sp 0.5
..
.de RT
.ft 1
.ce 0
.ul 0
.if t 'll \\n(LLu
.if n 'll \\n(LL
.ps \\n(PS
.vs \\n(VS
.in 0
.\"bd 1
.ta 5n 10n 15n 20n 25n 30n 35n 40n 45n 50n 55n 60n 65n 70n 75n 80n
.fi
..
.de KF
'sp 0.4
.ev 2
.nr Zs \\n(.s
.nr Zv \\n(.v
.ll \\n(LLu
.in 0
..
.de KE
.br
.ps \\n(Zs
.vs \\n(Zvu
.ev
'sp 0.4
..
.de UX
\\$3\s-2UNIX\s0\\$1\\$2
..
.de SM
.ps -2
..
.	\" LG - larger
.de LG
.ps +2
..
.de EB
.nr QQ 11i-\\nb-\\$1
.nr b +\\n(QQu
.nr y 0+\\nyu-\\n(QQu
.nr QQ 11i+\\ny
.ch ff
.wh \\n(QQu ff
.ch fx
.wh 12i fx
.ch fx \\n(QQu
..
.\"==============================================
.de Zz
.if \\nN=1 'ch Zz
'sp 11i
..
.de Z
.br
.mk Qz
.ev 2
.nr Qy \\n(.l
.ll 6.5i
.di J
.in 0
.ft 1
..
.de ZZ
.br
.if !\\$1 \{\
.  if !\\$2 .ll \\$2
.  sp 0.4
.  ce
.  ft 1
\\$1
.  ft
.  if !\\$2 .ll
.\}
.di
.ev
.nr QQ \\n(.t-\\n(dn-10u
.if \\n(QQ<0 .tm oops -- called Z too late on page \\n%!
.if \\n(QQ<0 .ex
.sp \\n(QQu
.mk Q2
.ev 2
.in 0
.nf
.J
.fi
.rm J
.ll \\n(.lu
.ev
.sp |\\n(Qzu
.nr QQ \\n(Q2-0.8v
.EB \\n(QQu
..
.\"======================================================
.de KS
.\".tm KS:  Not implemented yet
..
.de KE
.\".tm KE:  Not implemented yet
..
.de KF
.\".tm KF:  Not implemented yet
..
.ds ' \h'\w'e'u*4/10'\z\(aa\h'-\w'e'u*4/10'
.de BE
.br
..
.lt 6.5i
.de T1
.ds T2 \\$1
..
.de A1
.ds A2 \\$1
..
.nr P1 1.1i		\" picture width
.nr P2 14u*\n(P1u/10u	\" picture depth 
.de BB
.in 0
.\".nr QQ \\n(P2+0.1i
.\".ne \\n(QQu
.\".rs
.\".ll -\\n(P1u
.\".ll -0.1i
.\".po +\\n(.lu+0.1i
.\".sp 0.3
.\"
.\".sp -0.8
.\"\!H\\n(.o
.\".mk QQ
.\"\!V\\n(QQ
.\"\!DZ \\n(P1 \\n(P2
.\".ie \\$1 .tm Picture not yet inserted for .BB
.\".el \!P \\$1
.\".sp -0.3
.\".po
.\".sp -1
.\".if \\$1 \{\
.\"\h'0.1i'\h'\\n(.lu'\D'l \\n(P1u 0'\D'l 0 \\n(P2u'\D'l -\\n(P1u 0'\D'l 0 -\\n(P2u'
.\".sp -1
.\".\}
.\".sp 0.8
.\".mk QQ
.\".nr QQ +\\n(P2u
.\".wh \\n(QQu Bb
.\"=====
.\" ::: .sp 1
.\" ::: .ne 2
.if \\n(SB=0 \{\
.NH 1
Author Information
.\}
.nr SB 1
.PP
..
.de Bb
'ch Bb
'll +\\n(P1u
'll +0.1i
..
.de GS
.br
..
.de GE
..
.nr SL 0.3
.nr LI 0.28i
.de BL         \" begin list
.br
.sp \\n(SL
.in +\\n(LIu
.ll -0.1i
.if \\n(Ld \{\
.  ds Z\\n(Ld \\*(LT
.  af LN 1
.  nr N\\n(Ld \\n(LN
.  ds C\\n(Ld \\*(LC
.\}
.nr Ld +1
.ds LT \\$1\" LT is the List Type: 1, a, or a bulletchar
.if \\$1 .if '\\n(Ld'1'.ds LT \(bu
.if \\$1 .if '\\n(Ld'2'.ds LT \(ci
.if \\$1 .if '\\n(Ld'3'.ds LT \(sq
.if '\\*(LT'1' .af LN \\$1
.if '\\*(LT'i' .af LN \\$1
.if '\\*(LT'I' .af LN \\$1
.if '\\*(LT'a' .af LN \\$1
.if '\\*(LT'A' .af LN \\$1
.nr LN 0	\" LN is the list element number
.ds LC\\$2
.\" LC is the optional bullet trailer...
..
.de LE            \" list element
.br
.ie '\\$1'' .nr LN +1
.el \{\
.   nr LN 0
.   nr LN \\$1
.\}
.ds LX \\*(LT\\*(LC
.if \\*(LT1 .ds LX \\n(LN\\*(LC
.if \\*(LTa .ds LX \\n(LN\\*(LC
.if \\*(LTA .ds LX \\n(LN\\*(LC
.if \\*(LTi .ds LX \\n(LN\\*(LC
.if \\*(LTI .ds LX \\n(LN\\*(LC
.if \\n(LN=0 \{\
.    if !'\\$1'' .ds LX \\$1\\*(LC
.\}
.nr QQ 3u*\w' 'u/2u
.ti -\\w'\\*(LX\h'\\n(QQu''u
\\*(LX\h'\\n(QQu'\c
..
.de EL             \" end list
.br
.nr Ld -1
.if \\n(Ld>=0 \{\
.  ds LT \\*(Z\\n(Ld
.  nr LN \\n(N\\n(Ld
.  ds LC \\*(C\\n(Ld
.if '\\*(LT'1' .af LN \\*(LT
.if '\\*(LT'i' .af LN \\*(LT
.if '\\*(LT'I' .af LN \\*(LT
.if '\\*(LT'a' .af LN \\*(LT
.if '\\*(LT'A' .af LN \\*(LT
. \}
.in -\\n(LIu
.ll +0.1i
..
.de F1
.in 0
\v'-0.4'\D'l \\n(.lu 0'
.sp -0.7
.in
..
.de F2
.mk QQ
.if !'\\nT'\\n(QQ' \{\
.in 0
\v'-0.4'\D'l \\n(.lu 0'
.sp -0.4
.in
.\}
..
.de EM
.br
.if o \{\
.ds A2 
.ds T2 
.rs
.bp
.ch ff
.ch fx
.PO
.rs
.sp |10.4i-\\n(FUu
.mk QQ
'ie e \{\
. ev 2
.if t 'tl \s10\f3%\\*(CC\fP\s0
. ev
'  \}
'el \{\
. ev 2
.if t 'tl \s10\f3\\*(CC%\fP\s0
. ev
'  \}
.\}
..
.de RF
.sp 0.1
.in 0.3i
.ie !\\$1 \{\
.nr QQ \w'\\$1\ '
.ti -\\n(QQu
\\$1\ \c
.\}
.el .ti 0
..
.de RZ
.sp 0.1
.in 0.3i
.nr QQ \w'\\$1\ '
.ti -\\n(QQu
\\$1\ \c
..
.de zz
.tm note:  .zz is not implemented.
.ex
.nr Z1 \\$1
.nr Z2 \\$2
.if \\n(.t<\\n(Z2 .tm note that figure ``\\$3'' does not fit at column bottom ------------------------ on page \\n%
.ie '\\n(.z'' \{\
.sp 0.2
.ne \\n(Z2u
\\!H\\n(.o
.mk QQ
.nr QQ +0.25v
\\!V\\n(QQ
\\!DZ \\n(Z1 \\n(Z2
\\!P \\$3
.rs
.sp \\n(Z2u
.sp 0.2
.\}
.el \{\
.sp 0.2
\\!.z3 \\n(Z1 \\n(Z2 "\\$3" \\n(.o
.sp \\n(Z2u
.sp 0.2
.\}
..
.de z2
.nr Z1 \\$1
.nr Z2 \\$2
.sp 0.2
.ne \\n(Z2u
.nr QQ (\\n(.lu-\\$1)/2u
.sp \\n(Z2u
.vs 0
.po +\\n(QQu
\X'ps: import \\$3 0 0 1 1 \\n(Z1 \\n(Z2'
.br
.po -\\n(QQu
.vs
.rs
.sp 0.2
..
.de sz
.vs \\$1
.ps \\$1
..
.de M
\f2\\$1\f1\|(\\$2)\\$3
..
.de B1
.br
.mk Bz
..
.de B2
.br
.mk By
.nr D \\n(Byu-\\n(Bzu
.nr L \\n(.lu+0.2i-\\n(.iu
\h'-0.1i'\v'-0.7v'\D'l \\nLu 0'\D'l 0 -\\nDu'\D'l -\\nLu 0'\D'l 0 \\nDu'
.sp -1
..
.de []
.][ \\$1
..
.de ][
.if \\$1>5 .tm Bad arg to []
.[\\$1
..
.de [5 \" tm style
.FS
\\*([A, \\f2\\*([T\\f1,
.ie \\n(TN \\*([M.
.el Bell Laboratories internal memorandum (\\*([D).
.RT
.FE
..
.de [0 \" other
.FS
.nr [: 0
.if !\\*([F .FP \\*([F
.if !\\*([Q \{\
.nr [: 1
\\*([Q\c
.\}
.if !\\*([A \{\
.nr [: 1
\\*([A\c
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.if !\\*([T \{\
.if \\n([:>0 ,
.nr [: 1
\f2\\*([T\f1\c
.\}
.if !\\*([S , \\*([S\c
.if !\\*([V , \\*([V\c
.if !\\*([P \{\
.ie \\n([P>0 , pp. \\*([P\c
.el , p. \\*([P\c
.\}
.if !\\*([C , \\*([C\c
.if !\\*([D , \\*([D\c
.if \\n([:>0 \&.
.if !\\*([O \\*([O
.FE
..
.de [1
.FS
.if !\\*([F .FP \\*([F
.if !\\*([Q \\*([Q,
.if !\\*([A \\*([A,
.if !\\*([T \\*([o\\*([T,\\*([c
\f2\\*([J\f1\c
.if !\\*([V , vol. \\*([V\c
.if !\\*([N , no. \\*([N\c
.if !\\*([P \{\
.ie \\n([P>0 , pp. \\*([P\c
.el , p. \\*([P\c
.\}
.if !\\*([I , \\*([I\c
.if !\\*([C , \\*([C\c
.if !\\*([D , \\*([D\c
\&.
.if !\\*([O \\*([O
.FE
..
.de [2 \" book
.FS
.if !\\*([F .FP \\*([F
.if !\\*([Q \\*([Q,
.if !\\*([A \\*([A,
.if !\\*([T \f2\\*([T,\f1
.if !\\*([S \\*([S,
.if !\\*([V \\*([V,
.if !\\*([P \{\
.ie \\n([P>0 pp. \\*([P,
.el p. \\*([P,
.\}
\\*([I\c
.if !\\*([C , \\*([C\c
.if !\\*([D , \\*([D\c
\&.
.if !\\*([O \\*([O
.FE
..
.de [4 \" report
.FS
.if !\\*([F .FP \\*([F
.if !\\*([Q \\*([Q,
.if !\\*([A \\*([A,
.if !\\*([T \\*([o\\*([T,\\*([c
.if !\\*([R \\*([R\c
.if !\\*([G \& (\\*([G)\c
.if !\\*([P \{\
.ie \\n([P>0 , pp. \\*([P\c
.el , p. \\*([P\c
.\}
.if !\\*([I , \\*([I\c
.if !\\*([C , \\*([C\c
.if !\\*([D , \\*([D\c
\&.
.if !\\*([O \\*([O
.FE
..
.de [3 \" article in book
.FS
.if !\\*([F .FP \\*([F
.if !\\*([Q \\*([Q,
.if !\\*([A \\*([A,
.if !\\*([T \\*([o\\*([T,\\*([c
in \f2\\*([B\f1\c
.if !\\*([E , ed. \\*([E\c
.if !\\*([S , \\*([S\c
.if !\\*([V , vol. \\*([V\c
.if !\\*([P \{\
.ie \\n([P>0 , pp. \\*([P\c
.el , p. \\*([P\c
.\}
.if !\\*([I , \\*([I\c
.if !\\*([C , \\*([C\c
.if !\\*([D , \\*([D\c
\&.
.if !\\*([O \\*([O
.FE
..
.de [<
.]>
..
.de ]<
.SH
References
.LP
.de FP
.\".IP \\\\$1.
.RZ \\\\$1.
\\..
.rm FS FE
..
.de [>
.]>
..
.de ]>
.sp
..
.de [-
.]-
..
.de ]-
.rm [Q [A [T [J [B [E [S [V
.rm [N [P [I [C [D [O [R [G
..
.de FG
.ds QQ \fB\\$1\\fP:  \\$2
.ie \w\\*(QQ>\\n(.l \{\
.in +0.25i
.ti 0
\\*(QQ
.in 0
.\}
.el \{\
.ce
\\*(QQ
.\}
..
.1C