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07e8f2e1bc
lyx_mirror/lib/examples/instant_preview.lyx
Pavel Sanda e15846656a typo 
git-svn-id: svn://svn.lyx.org/lyx/lyx-devel/trunk@34126 a592a061-630c-0410-9148-cb99ea01b6c8
2010-04-13 12:09:34 +00:00

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#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
\lyxformat 385
\begin_document
\begin_header
\textclass article
\begin_preamble
\usepackage[all, knot]{xy}
\xyoption{arc}
\usepackage{qtree}
\usepackage{tipa}
\end_preamble
\use_default_options false
\maintain_unincluded_children false
\language english
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\paperfontsize default
\spacing single
\use_hyperref false
\papersize default
\use_geometry false
\use_amsmath 1
\use_esint 1
\use_mhchem 1
\cite_engine basic
\use_bibtopic false
\use_indices false
\paperorientation portrait
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\index Index
\shortcut idx
\color #008000
\end_index
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
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\quotes_language english
\papercolumns 1
\papersides 1
\paperpagestyle default
\tracking_changes false
\output_changes false
\html_math_output 0
\html_be_strict true
\end_header
\begin_body
\begin_layout Section
Introduction
\end_layout
\begin_layout Standard
The following packages are needed to be installed at your computer in order
to typeset the document properly and have instant preview working:
\end_layout
\begin_layout LyX-Code
xy.sty, qtree.sty, tipa.sty
\end_layout
\begin_layout Section
Diagrams by XY(-pic)
\end_layout
\begin_layout Standard
Few examples of diagrams were taken from Aaron Landa's archive of xy-pic
examples, see
\begin_inset Flex URL
status collapsed
\begin_layout Plain Layout
http://www.math.columbia.edu/~lauda/xy/
\end_layout
\end_inset
.
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Braid
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status collapsed
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\backslash
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\backslash
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\backslash
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\begin_layout Plain Layout
"M"; "x" **
\backslash
crv{(5,0)};
\end_layout
\begin_layout Plain Layout
"x"; "y" **
\backslash
crv{(0,7) & (-5,6)};
\end_layout
\begin_layout Plain Layout
\backslash
endxy
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Description
Knots
\end_layout
\begin_layout Standard
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
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\backslash
xy
\end_layout
\begin_layout Plain Layout
(6,9)*{}="1";
\end_layout
\begin_layout Plain Layout
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\begin_layout Plain Layout
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\backslash
crv{~*=<.5pt>{.} (0,30)}?(.75)*
\backslash
dir{>}+(-2,2)*{z};
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\begin_layout Plain Layout
"1";"2" **
\backslash
crv{~*=<.5pt>{.} (-28.5,9.3)}?(.7)*
\backslash
dir{>}+(-2,-2)*{u};
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\end_layout
\begin_layout Plain Layout
(8.5,-3)*{}="2";
\end_layout
\begin_layout Plain Layout
"1";"2" **
\backslash
crv{~*=<.5pt>{.} (-17.67,-24.19)}?(.7)*
\backslash
dir{>}+(-1,-3)*{x};
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\begin_layout Plain Layout
(6.5,7.13)*{}="2";
\end_layout
\begin_layout Plain Layout
"1";"2" **
\backslash
crv{~*=<.5pt>{.} (17.67,-24.19)}?(.7)*
\backslash
dir{>}+(3,-1)*{y};
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(11,-1)*{}="1";
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\begin_layout Plain Layout
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\end_layout
\begin_layout Plain Layout
"1";"2" **
\backslash
crv{~*=<.5pt>{.} (28.5,9.3)}?(.93)*
\backslash
dir{>}+(1,2)*{w};
\end_layout
\begin_layout Plain Layout
\backslash
endxy
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Description
Circles
\end_layout
\begin_layout Standard
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
\backslash
xy
\end_layout
\begin_layout Plain Layout
(0,0)*
\backslash
xycircle(14,8){++
\backslash
dir{<}};
\end_layout
\begin_layout Plain Layout
(0,0)*
\backslash
xycircle<10pt>{{.}};
\end_layout
\begin_layout Plain Layout
(0,0)*
\backslash
xycircle(5,2){:};
\end_layout
\begin_layout Plain Layout
(0,15)*
\backslash
xycircle(10,4){--};
\end_layout
\begin_layout Plain Layout
\backslash
endxy
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Description
Cobordism
\end_layout
\begin_layout Standard
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
\backslash
xy
\end_layout
\begin_layout Plain Layout
(0,0)*
\backslash
ellipse(3,1){.};
\end_layout
\begin_layout Plain Layout
(0,0)*
\backslash
ellipse(3,1)__,=:a(-180){-};
\end_layout
\begin_layout Plain Layout
(-6,-8)*
\backslash
ellipse(3,1){.};
\end_layout
\begin_layout Plain Layout
(6,-8)*
\backslash
ellipse(3,1){.};
\end_layout
\begin_layout Plain Layout
(0,-8)*
\backslash
ellipse(3,1){.};
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\begin_layout Plain Layout
(-6,-8)*
\backslash
ellipse(3,1)__,=:a(-180){-};
\end_layout
\begin_layout Plain Layout
(6,-8)*
\backslash
ellipse(3,1)__,=:a(-180){-};
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\begin_layout Plain Layout
(0,-8)*
\backslash
ellipse(3,1)__,=:a(180){-};
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(-3,6)*
\backslash
ellipse(3,1){-};
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\begin_layout Plain Layout
(3,6)*
\backslash
ellipse(3,1){-};
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\begin_layout Plain Layout
(-3,12)*{}="1";
\end_layout
\begin_layout Plain Layout
(3,12)*{}="2";
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(-9,12)*{}="A2";
\end_layout
\begin_layout Plain Layout
(9,12)*{}="B2";
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"1";"2" **
\backslash
crv{(-3,7) & (3,7)};
\end_layout
\begin_layout Plain Layout
(-3,0)*{}="A";
\end_layout
\begin_layout Plain Layout
(3,0)*{}="B";
\end_layout
\begin_layout Plain Layout
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\begin_layout Plain Layout
(3,1)*{}="B1";
\end_layout
\begin_layout Plain Layout
"A";"A1" **
\backslash
dir{-};
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"B";"B1" **
\backslash
dir{-};
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\begin_layout Plain Layout
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\backslash
crv{(8,7) & (3,5)};
\end_layout
\begin_layout Plain Layout
"A2";"A1" **
\backslash
crv{(-8,7) & (-3,5)};
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\begin_layout Plain Layout
%REFLECT
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\end_layout
\begin_layout Plain Layout
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\end_layout
\begin_layout Plain Layout
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\backslash
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\begin_layout Plain Layout
(-3,-16)*{}="1";
\end_layout
\begin_layout Plain Layout
(-9,-16)*{}="2";
\end_layout
\begin_layout Plain Layout
"1";"2" **
\backslash
crv{(-3,-10) & (-9,-10)};
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\begin_layout Plain Layout
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\end_layout
\begin_layout Plain Layout
"A";"A1" **
\backslash
dir{-};
\end_layout
\begin_layout Plain Layout
"B";"B1" **
\backslash
dir{-};
\end_layout
\begin_layout Plain Layout
"B2";"B1" **
\backslash
crv{(13,-6) & (2,-8)};
\end_layout
\begin_layout Plain Layout
"A2";"A1" **
\backslash
crv{(-13,-6) & (-2,-8)};
\end_layout
\begin_layout Plain Layout
\backslash
endxy
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset Preview
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\begin_inset ERT
status collapsed
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\backslash
xy 0;/r.18pc/:
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(20,2)*{
\backslash
bullet}="RU"+(1,3)*{x^{
\backslash
ast}};
\end_layout
\begin_layout Plain Layout
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\backslash
bullet}="RD"+(2.5,2)*{x^{
\backslash
ast}};
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\begin_layout Plain Layout
(-16,2)*{
\backslash
bullet}="LU"+(-1,2)*{x};
\end_layout
\begin_layout Plain Layout
(-20,-3)*{
\backslash
bullet}="LD"+(-1,2)*{x};
\end_layout
\begin_layout Plain Layout
"RU";"RD" **
\backslash
crv{(4,2) & (4,-1)}; ?(.1)*
\backslash
dir{<}; ?(.85)*
\backslash
dir{<};
\end_layout
\begin_layout Plain Layout
"LD";"LU" **
\backslash
crv{(-4,-2) & (-4,1)};
\end_layout
\begin_layout Plain Layout
?(.08)*
\backslash
dir{<}; ?(.85)*
\backslash
dir{<};
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\backslash
crv{(7,-10) & (-7,-10)};
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\backslash
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\backslash
ast}};
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"RD"; "RDD" **
\backslash
dir{-};
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"LD"; "LDD" **
\backslash
dir{-};
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"A"; "LUD" **
\backslash
dir{.};
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\backslash
crv{(0,-17)}; ?(.57)*
\backslash
dir{>};
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"RU"; "RUD" **
\backslash
dir{-};
\end_layout
\begin_layout Plain Layout
"LU"; "A" **
\backslash
dir{-};
\end_layout
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\backslash
crv{(18,-14.15)};
\end_layout
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"B"; "LUD" **
\backslash
crv{~*=<4pt>{.}(0,-18)}; ?(.4)*
\backslash
dir{<};
\end_layout
\begin_layout Plain Layout
\backslash
endxy
\end_layout
\end_inset
\end_layout
\end_inset
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\begin_layout Description
Strings
\end_layout
\begin_layout Standard
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status open
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\backslash
xy (-15,0)*{};(15,0)*{};
\end_layout
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\backslash
endxy
\end_layout
\begin_layout Plain Layout
\backslash
qquad =
\backslash
qquad
\backslash
xy
\end_layout
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(-10,12)*{}; (-10,-12)*{}; **
\backslash
dir{-}?(.5)*
\backslash
dir{<}+(-4,0)*{F(x)};
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\begin_layout Plain Layout
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\end_layout
\begin_layout Plain Layout
"1";"2" **
\backslash
crv{(-4,-21)&(5,-15)};
\end_layout
\begin_layout Plain Layout
?(.15)*
\backslash
dir{<}+(5,10)*{
\backslash
overline{F(x)}};
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\backslash
crv{(6,1)&(14,1)};
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?(0)*
\backslash
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\backslash
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?(.95)*
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dir{<}+(5,-2)*{F(
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overline x)};
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\backslash
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\begin_layout Plain Layout
"XA";"XB" **
\backslash
crv{~*=<2pt>{.}(-2,1)&(-10,1)};
\end_layout
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\backslash
endxy
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Categories
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\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
\backslash
xymatrix{
\end_layout
\begin_layout Plain Layout
(x
\backslash
otimes 1)
\backslash
otimes y
\end_layout
\begin_layout Plain Layout
\backslash
ar[rr]^{a_{x,1,y}}
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\begin_layout Plain Layout
\backslash
ar[dr]_{r_x
\backslash
otimes 1_y}
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\begin_layout Plain Layout
&& x
\backslash
otimes(1
\backslash
otimes y)
\end_layout
\begin_layout Plain Layout
\backslash
ar[dl]^{1_x
\backslash
otimes
\backslash
ell_y }
\backslash
\backslash
\end_layout
\begin_layout Plain Layout
& x
\backslash
otimes y }
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
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\backslash
xy
\end_layout
\begin_layout Plain Layout
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\backslash
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\end_layout
\begin_layout Plain Layout
(0,0)*+{
\backslash
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\begin_layout Plain Layout
{
\backslash
ar@/^.9pc/ "1";"2"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.9pc/ "1";"2"};
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\begin_layout Plain Layout
{
\backslash
ar@/^2pc/ "1";"2"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_2pc/ "1";"2"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@{=>} (-4.5,1.5)*{};(-4.5,-1.5)*{}} ;
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@{=>} (-4.5,7.25)*{};(-4.5,4.75)*{}} ;
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@{=>} (-4.5,-4.75)*{};(-4.5,-7.25)*{}} ;
\end_layout
\begin_layout Plain Layout
(0,0)*+{
\backslash
bullet}="1";
\end_layout
\begin_layout Plain Layout
(9,0)*+{
\backslash
bullet}="2";
\end_layout
\begin_layout Plain Layout
(18,0)*+{
\backslash
bullet}="3";
\end_layout
\begin_layout Plain Layout
{
\backslash
ar "1";"2"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar "2";"3"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/^1pc/ "1";"2"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_1pc/ "1";"2"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@{=>} (4.5,3)*{};(4.5,.75)*{}} ;
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@{=>} (4.5,-.75)*{};(4.5,-3)*{}} ;
\end_layout
\begin_layout Plain Layout
\backslash
endxy
\end_layout
\end_inset
\end_layout
\end_inset
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\begin_layout Description
Transformations
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\begin_layout Standard
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
\backslash
xy %FIG.19.
Natural transformation between functors.
\end_layout
\begin_layout Plain Layout
(-26,-2)*+{
\backslash
bullet}="a";
\end_layout
\begin_layout Plain Layout
(-12,3)*+{
\backslash
bullet}="b";
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\begin_layout Plain Layout
(-16,-5)*+{
\backslash
bullet}="c";
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\begin_layout Plain Layout
{
\backslash
ar@/^.25pc/ "a";"b"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.25pc/"a";"c"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.15pc/ "b";"c"};
\end_layout
\begin_layout Plain Layout
%START TOP
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\begin_layout Plain Layout
(12,10)*+{
\backslash
bullet}="ta";
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\begin_layout Plain Layout
(26,15)*+{
\backslash
bullet}="tb";
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\begin_layout Plain Layout
(22,8)*+{
\backslash
bullet}="tc";
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/^.25pc/ "ta";"tb"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.25pc/ "ta";"tc"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.15pc/ "tb";"tc"};
\end_layout
\begin_layout Plain Layout
%START bottom
\end_layout
\begin_layout Plain Layout
(12,-10)*+{
\backslash
bullet}="ba";
\end_layout
\begin_layout Plain Layout
(26,-5)*+{
\backslash
bullet}="bb";
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\begin_layout Plain Layout
(22,-12)*+{
\backslash
bullet}="bc";
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/^.25pc/@{.>} "ba";"bb"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.25pc/ "ba";"bc"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.15pc/ "bb";"bc"};
\end_layout
\begin_layout Plain Layout
%START CONNECT
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.15pc/ "ta";"ba"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.15pc/ "tb";"bb"};
\end_layout
\begin_layout Plain Layout
{
\backslash
ar@/_.15pc/ "tc";"bc"};
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%START ARROWS AND LABELS
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\begin_layout Plain Layout
{
\backslash
ar@/^.35pc/^F "DF";"CF"};
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\begin_layout Plain Layout
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\begin_layout Plain Layout
{
\backslash
ar@/_.35pc/_G "DF";"CF"};
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\begin_layout Plain Layout
(-2,5)*{}="DF";
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\begin_layout Plain Layout
(-2,-5)*{}="CF";
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\begin_layout Plain Layout
{
\backslash
ar@{=>}^{
\backslash
alpha} "DF";"CF"};
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\begin_layout Plain Layout
(29,3)*{D};
\end_layout
\begin_layout Plain Layout
(-23,3)*{C};
\end_layout
\begin_layout Plain Layout
\backslash
endxy
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\end_inset
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\begin_layout Section
IPA
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\begin_layout Standard
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
\backslash
textipa{Ekspl@"neIS@n}
\end_layout
\end_inset
\end_layout
\end_inset
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\begin_layout Section
QTree
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\begin_layout Standard
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
\backslash
Tree[.S [.N This ] [.V is ] [.NP [.Det a ] [.N test ] ] ]
\end_layout
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\end_layout
\end_inset
\begin_inset Preview
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Plain Layout
\backslash
Tree [.$
\backslash
sigma$ $
\backslash
mu$ $
\backslash
mu$ ]
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\end_body
\end_document
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