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%%%%%%%%%%%%%%%%%% Start /document/Postwar_Paper.tex %%%%%%%%%%%%%%%%%%
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\begin{document}
\title{Postwar Growth}
\author{Lutz Hendricks, Cara McDaniel, Lee Ohanian \\
%EndAName
\emph{Preliminary. }\today }
\maketitle
\begin{abstract}
This paper ...
\end{abstract}
\section{Intro}
\bigskip
Our paper asks 2 questions:
\bigskip
What fraction of european growth due to transitional dynamics, as emphasized
by King and Rebelo and Christiano, and implicitly related to the empirical
growth literature, and what fraction due to productivity growth and taxes?
\bigskip
What are the successes and puzzles of standard neoclassical growth model
when confronted with postwar european growth experience?
\bigskip
King and Rebelo's analysis suggests the obvious puzzle will be that the
model predicts much too rapid growth relative to the data. \bigskip
\bigskip
We find the opposite puzzle - the transitions are too slow relative to the
data.
\bigskip
This is because of the pattern of productivity growth and tax changes, and
because relatively of the growth is due to transitions.
\bigskip
2. Key features of the data - same as you have. Interpretations of these
features: same as you have
\bigskip
3. the model - this looks fine -- putting schooling in is fine, though it
differs a \ bit from the standard model and thus complicates comparability
with King and Rebelo, etc. \ -- I agree that we measure population based on
the working age population.
\bigskip
4. steady state experiments - key result - model has nothing to say about I/Y
\bigskip
5. Transition experiments
\bigskip
6. conclusion - what might be added to improve the model? The things I\ had
in mind, such as time to build, time to plan, adjustment costs, etc for
investment are irrelevant for steady states, but would matter for
transitions. There are 2 things we can establish - the first being the
results from a standard optimal growth model. The second being what happens
if you start putting different ``bells and whistles'' into the standard
model. This may be beyond the scope of the paper, given how many countries
we are considering.
\bigskip
\bigskip
\paragraph{Objective:}
Understand postwar European growth experience.
\paragraph{Key features of the data:}
Rising I/Y and (eventually) K/Y. Peak of I/Y around 1970.
Falling hours per person.
\paragraph{Why are these features interesting:}
Rising I/Y seems to contradict transitional dynamics of standard growth
model.
Falling hours in Europe, but not in U.S. and Canada.
\paragraph{Approach:}
Start by developing implications of standard theory.
Systematically evaluate quantitative importance of hypotheses put forth in
the large literature on postwar European growth.
Growth model has nothing to say about TFP growth. Take the paths of TFP as
given for this analysis. But important to think about TFP later on.
\section{Data}
See Postwar\_Data\_Figures.tex
\section{One-sector Growth Model}
Question: to what extent can standard theory account for the data?
Model features:\ Exogenous technical change. Labor-leisure choice. Taxes on
capital and labor income.
\subsection{Model}
Given exogenously: Sequences of population ($N_{t}$), time endowments per
person $\left( \lambda _{t}\right) $, and TFP ($A_{t}$). Sequences of tax
rates $\tau _{ct},\tau _{kt}$ and $\tau _{nt}$. Sequences of wedges: $\omega
_{k},\omega _{n}$.
Define growth rates: $g(N_{t})=N_{t+1}/N_{t}-1$.
Aggregate resource constraint:%
\[
K_{t+1}=F(K_{t},L_{t},A_{t})+(1-\delta )\,K_{t}-C_{t}-G_{t}
\]%
where $C_{t}$ is aggregate consumption and $G$ is government spending.
For now variables are in levels. Later on all growing variables are
detrended by dividing them by $A_{t}$ or by $A_{t}N_{t}$.
\paragraph{Household:}
The representative household solves%
\[
\max \sum_{t=0}^{\infty }\,\beta ^{t}\,N_{t}\,U(C_{t}/N_{t},1-n_{t}/\lambda
_{t})
\]
subject to the budget constraint%
\[
S_{t+1}=\left( 1+r_{t}\right) \,S_{t}+\tilde{w}_{t}\,N_{t}\,n_{t}+\tilde{\tau%
}_{t}\,N_{t}-\left( 1+\tau _{ct}\right) C_{t}
\]
Notation:
$S$: assets; capital and bonds.
$\tilde{\tau}$: lump-sum transfers from government.
$n$: hours per person.
Note: It would be more logical to have $U(C/N,\lambda -n)$.
\paragraph{Firms:}
Static profit maximization. Output is produced according to $Y_{t}=F\left(
K_{t},A_{t}L_{t}\right) $. First-order conditions: $r_{t}^{f}=F_{K}\left(
K_{t},A_{t}L_{t}\right) $, \ $\tilde{w}_{t}^{f}=F_{L}\left(
K_{t},A_{t}L_{t}\right) $.
\paragraph{Government:}
Budget constraint is
$G_{t}+N_{t}~\tilde{\tau}_{t}+\left( 1+r_{t}\right) ~B_{t}=\tau
_{ct}C_{t}+\tau _{kt}~[r_{t}^{f}-\delta ]~K_{t}+\tau _{nt}~\tilde{w}%
_{t}^{f}~L_{t}+B_{t+1}$.
\paragraph{Market clearing:}
Express variables in detrended transformations: $\bar{\tau}_{t}=\tilde{\tau}%
_{t}/A_{t}$. $k_{t}=K_{t}/A_{t}N_{t}$. $g_{t}=G_{t}/A_{t}N_{t}$. Etc.
Labor:\ $l\equiv L/N=n$.
Goods: $f(k,n)+\left( 1-\delta \right) ~k=c+g+k_{t+1}~\left( 1+g\left(
N_{t}\right) +g\left( A_{t}\right) \right) $.
Capital is implicit. Bonds: $b_{t}=s_{t}-k_{t}$.
\paragraph{Identities:}
$r=\left( 1-\tau _{k}-\omega _{k}\right) \left( r^{f}-\delta \right) $. $w=%
\frac{\tilde{w}}{A}=\left( 1-\tau _{n}-\omega _{n}\right) ~w^{f}$.
\paragraph{Equilibrium:}
Sequences $\{c_{t},s_{t},k_{t},n_{t},w_{t},r_{t},\bar{\tau}_{t}\}$ that
satisfy:
- Household: 2 FOCs and budget constraint
- Firms: 2 FOC
- Government:\ Budget constraint.
- Goods market clearing (redundant). $s_{t}=k_{t}+b_{t}$.
Given:
- $k_{0}$.
- tax rates
- Government spending given by a rule, such as $g_{t}=\gamma _{t}~f\left(
k_{t},l_{t}\right) $.
- Rule that determines borrowing.
\subsection{Calibration}
\subsubsection{Identical parameters for all countries}
All economies share the same deep parameters. They differ in tax rates,
government debt, population, productivity. These are exogenously given
sequences.
For computing the steady state: Values over 1985 to 1995 are averaged to
obtain steady state values for tax rates, $n,G/Y,B/Y,I/Y,K/Y,g\left(
A\right) $.
Because model does not have education, measure labor input in hours and TFP
as including education.
\paragraph{Technology:}
$\theta =0.33$: Matches capital share.
$\delta $: Match observed I/Y and K/Y in steady state for the U.S.: $\delta
=\left( I/Y\right) /\left( K/Y\right) -g\left( A\right) -n$.
\paragraph{Preferences:}
$U\left( C/N,1-n/\lambda \right) =\frac{\left( C/N\right) ^{1-\sigma
}~\left( 1-n/\lambda \right) ^{\varphi \left( 1-\sigma \right) }}{1-\sigma }$%
.
Fixed labor endowment:\ $\lambda =1$.
$\sigma =2$: standard
$\varphi $: Matches fraction of time spent working.
$\beta $: Matches target interest rate of 4\% in steady state: $\left(
1+r\right) ~\tilde{\beta}=1$. After tax interest rate $r$ is calculated to
be consistent with $K/Y$, tax rate, and $\delta $ in US steady state.
%TCIMACRO{\TeXButton{B}{\begin{table}[tbph] \centering}}%
%BeginExpansion
\begin{table}[tbph] \centering%
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\input{/document/model1/out/cal_tb_001.tex}%
\caption{Model
parameters}\label{TbParam1}%
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\end{table}%
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\subsubsection{Country specific parameters}
To focus on transition results, not steady state differences, calibrate the
model to exactly match hours and $I/Y$ in steady state for each country. By
choosing $\phi $ and $\delta $.
%TCIMACRO{\TeXButton{B}{\begin{table}[tbph] \centering}}%
%BeginExpansion
\begin{table}[tbph] \centering%
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\input{/document/model1/out/cal_tb_030.tex}%
\caption{Model
parameters}\label{TbParam2}%
%TCIMACRO{\TeXButton{E}{\end{table}}}%
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\end{table}%
%EndExpansion
\subsection{Steady State Results: Shared parameters}
Model makes predictions about 4 variables: I/Y, C/Y, K/Y, hours. But only 2
of these are independent because I/Y implies C/Y by the feasibility
constraint and K/Y by the accumulation equation.
Model does not account for steady state differences very well.
%TCIMACRO{\TeXButton{B}{\begin{table}[tbph] \centering}}%
%BeginExpansion
\begin{table}[tbph] \centering%
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\input{/document/model1/out/bgp_tb_001.tex}%
\caption{Steady
state results}\label{TBSSResults}%
%TCIMACRO{\TeXButton{E}{\end{table}}}%
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\end{table}%
%EndExpansion
\paragraph{Hours:}
\emph{Hours} are not too bad. Figure \ref{ss_hours}.
The gaps between countries are smaller than in the data. They could be
increased by raising the labor supply elasticity or by using Prescott's
adjustment for progressive taxes (multiply all tax rates by 1.6).
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\paragraph{Investment:}
The model is a total failure. Figure \ref{ss_iy}. The correlation between
model and data is essentially 0.
This is robust against alternative tax data (from Carey and Rabesona 2002),
against adjusting tax rates for progressivity, and against permitting $%
g\left( A\right) $ to differ across countries in steady state.
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\subsubsection{Decomposing differences in hours}
To gain intuition (along the lines of Prescott 2002), decompose differences
in hours into contributions of tax rates and $G/Y,n$. In Prescott's model, $%
G/Y=0$ and $g\left( N\right) $ is the same for all countries. Therefore,
only tax rates matter. Here:%
\[
l=\left[ \frac{1+\tau _{c}}{1-\tau _{w}}\frac{\varphi }{1-\theta }\frac{c}{y}%
+1\right] ^{-1}
\]%
where $c/y$ depends on $g/y$ and $\tau _{k}$. Therefore, compute hours for a
sequence of counterfactual experiments. Start from U.S. parameters. Replace,
one at a time, $g/y,g\left( N\right) ,\tau _{k}$, and $\tau _{c}$ jointly
with $\tau _{w}$.
Finding: Mostly consumption and wage tax rates drive differences in hours in
the model.
%TCIMACRO{\TeXButton{B}{\begin{table}[tbph] \centering}}%
%BeginExpansion
\begin{table}[tbph] \centering%
%EndExpansion
\input{/document/model1/out/bgp_labor_tb_001.tex}%
\caption{Decomposition of steady state hours gaps}\label{TbSSHours}
Notes: Column "param" imposes country specific parameters (none in this
version of the model).%
%TCIMACRO{\TeXButton{E}{\end{table}}}%
%BeginExpansion
\end{table}%
%EndExpansion
\subsubsection{Decomposing differences in I/Y}
In steady state%
\[
i/y=k/y~\left( g\left( N\right) +g\left( A\right) +\delta \right) .
\]%
Note that $k/y$ only depends on $\tau _{k}$ and parameters that do not
differ across countries. Therefore, $i/y$ depends only on $\tau _{k}$ and $%
g\left( N\right) $.
Finding: Cross-country differences in the model are about 2/3 due to $\tau
_{k}$.
%TCIMACRO{\TeXButton{B}{\begin{table}[tbph] \centering}}%
%BeginExpansion
\begin{table}[tbph] \centering%
%EndExpansion
\input{/document/model1/out/bgp_iy_tb_001.tex}%
\caption{Decomposition of steady state investment gaps}\label{TbSSIY}%
%TCIMACRO{\TeXButton{E}{\end{table}}}%
%BeginExpansion
\end{table}%
%EndExpansion
\section{Transition Path Results}
Because the model with common parameters fails to account for steady states,
transition results use the model with country specific parameters.
\subsection{Experiment}
The transition path starts the economies in 1950 $\left( t=1\right) $. Let $%
T $ denote the number of years for which data are available. Time paths of
the forcing variables are constructed from data up to date $T$. These
variables are: $g(A_{t})$, $G/Y_{t}$, tax rates, and population growth
rates. $A_{t}$ is constructed as the usual Solow residual. Since the model
does not have human capital, labor input is measured in hours and human
capital is subsumed in $A_{t}$. After date $T$, the forcing variables are
set to their steady state values.
The initial capital endowment, $k_{1}$, is calculated from
\[
k_{1}=\frac{K_{1}~A_{T}~N_{T}}{K_{T}~A_{1}~N_{1}}k_{ss}
\]%
where $k_{ss}$ is the model's steady state value of $k$.
\paragraph{War damage:}
Empirical estimates of the capital stock in 1950 do not reflect capital
destruction during World War 2. Empirical estimates of war damage exist for
some countries, but are of low precision. For Germany and Japan, the
countries with the greatest destruction, estimates indicate that around 25\%
of the capital stock were destroyed (Wolf 1993; Denison and Chung 1976).
Still, Wolff (1993) and Carlin (1998) find that Germany's capital stock in
1945 was larger than at the beginnin of the war.
Since good estimates of war damage are lacking, the baseline results use
existing estimates of the capital stock for 1950 as the initial condition.
Sensitivity analysis shows that the behavior of investment and hours worked
are little affected, if the initial capital stock is reduced by amounts
suggested by the literature.
.
The algorithm searches over values of $c_{T}$. For each guess, the model is
solved backwards to find $k_{1}$. The algorithm stops when the implied $%
k_{1} $ is sufficiently close to the observed initial capital endowment.
\subsection{Some transition results}
[Apr-17, 2007:\ I did not update the words in this section]
Decomposition of transition paths:
For each country (panel) the following figures show the data, and a sequence
of transition experiments. The experiments start with the steady state.
Then, sequentially, $k_{0}$, $g(N)$, $g\left( A\right) $, $G/Y$, and tax
rates are set to their data values. This reveals which forcing variables
account for the patterns predicted by the model.
\subsubsection{Initial capital stock}
A surprise finding:\ $k_{1}$ is often not far from 1.
%TCIMACRO{\TeXButton{B}{\begin{table}[tbph] \centering}}%
%BeginExpansion
\begin{table}[tbph] \centering%
%EndExpansion
\input{/document/model1/out/tr_tb_030.tex}%
\caption{Detrended
capital stocks in 1950}\label{Tbk1}%
%TCIMACRO{\TeXButton{E}{\end{table}}}%
%BeginExpansion
\end{table}%
%EndExpansion
\subsubsection{Hours/person}
Figures \ref{hoursperperson1} to \ref{hoursperperson4}.
Model predicts falling hours everywhere, except for the U.S. Qualitatively,
this captures long-term trends for Europe, but not for other countries. In
some countries, model predicts changes in hours that are too small. Larger
labor supply elasticity could help (Prescott 2002), but would not address
the model's failure for other countries.
JPN: failure.
For Europe:\ model hours largely reflect wage taxes (which change quite a
bit).
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\subsubsection{I/Y and K/Y}
I/Y peaks in 70s for DEU, ITA, NLD, SWE, JPN, and FRA.
Model gets that peak qualitatively, except for JPN and UK
Model also good for AUS, CAN, USA (no peak in model/data).
Surprise: the model has too LOW I/Y in the 1950s.
What matters most for I/Y: \textbf{productivity growth}. Taxes also matter
in some countries (e.g. ITA, where the capital tax rises by $0.18$ over the
post-war period). Pretty much in every case, productivity growth determines
the "shape" of the I/Y path.
K/Y:
Data have initial dip in K/Y (GW's u-shape) for DEU, ITA, FRA, NLD. Model
gets those qualitatively. But the dips are stronger in the model. This is
interesting b/c the literature has viewed the delayed I/Y as a problem for
the growth model.
UK is good, but only up to 1970.
SWE, JPN, AUS, CAN, USA are ok.
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ITA, BEL, GBR: Initially, I/Y falls because productivity does not start
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\subsubsection{g(K/L)}
GW point out hump-shaped g(K/L). My data replicate that for most of Europe
and JPN.
Model does well for AUS, CAN, USA.
Also for Europe (to varying degrees). Some trouble with UK. Failure for JPN.
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\subsubsection{Summary}
A mixed bag. Model clearly has trouble with hours/person.
Qualitatively the model gets some facts right, but quantitatively it rarely
works well.
Disturbing: what it gets right varies across countries.
Clear successes are rare:
\begin{enumerate}
\item g(K/L) is at least ok in all countries but JPN.
\item Long term trends in hours/person, except CAN, USA. Worth
investigating: difference between CAN,USA,AUS and Europe in labor market
outcomes.
\item Long-term behavior of K/Y. But there are more discrepancies (FRA, USA
especially).
\end{enumerate}
Clear failures:
\begin{enumerate}
\item Hours per person until 1965/70. Wrong in essentially all countries.
\end{enumerate}
By country:
Model is particularly successful for AUS.
CAN: hours are off, rest is good.
DEU: qualitatively good, but quantitatively off.
FRA: Check the I/Y data. If I/Y were rising (it is in PWT), then model would
do ok.
UK: Hours are good. I/Y is not.
ITA: Timing \ is off.
JPN: Failure, at least quantitatively.
USA: Hours are off (b/c they move in the wrong direction given taxes).
\subsubsection{Intuition}
To understand why the model generates the transition results shown above, we
run additional experiments. Shut of all forcing variables and set them to
their steady state values. Then switch on (one by one): $k_{1},g\left(
N\right) ,g\left( A\right) ,G/Y,$ and tax rates.
Plot the trajectories of hours per person, I/Y, $g\left( K/L\right) $ by
country.
Findings:
Neoclassical transition $\left( k_{1}\neq k_{ss}\right) $ is important only
for $g\left( K/L\right) $. It accounts for countries without the hump shape:
GBR, JPN, AUS, CAN (somewhat USA).
The path of $I/Y$ is largely determined by TFP growth. Taxes play somewhat
of a role for a few countries (JPN, ITA).
Hours are largely determined by taxes and TFP growth. TFP growth often
pushes hours in the wrong direction (especially in European countries where
hours are falling). In a few countries G/Y is important.
These observations stem from inspecting the plots. One could try to be more
quantitative.
[More details and figures on transition results are in the slides]
\subsection{Wedges}
The household's utility function is $U(C_{t}/N_{t},1-n_{t}/\lambda _{t})$.
Start from the household's first-order conditions and add wedges $\left(
\Delta _{t},\xi _{t}\right) $:%
\begin{eqnarray}
U_{2}(t)/U_{1}(t) &=&\Delta _{t}~\lambda _{t}~\tilde{w}_{t}/\left( 1+\tau
_{ct}\right) \, \\
\frac{U_{1}(t)}{1+\tau _{ct}} &=&\xi _{t}~\beta \,\left( 1+r_{t+1}\right) \,%
\frac{U_{1}(t+1)}{1+\tau _{ct+1}}
\end{eqnarray}
Take factor prices from firm's first-order conditions:%
\begin{eqnarray*}
\tilde{w} &=&\left( 1-\tau _{n}\right) ~F_{L}\left( K,AL\right) \\
r &=&\left( 1-\tau _{k}\right) \left[ F_{K}\left( K,AL\right) -\delta \right]
\end{eqnarray*}
Smooth the data: $C/N,n,\tilde{w},r$ before computing the wedges.
\subsubsection{Euler wedges}
Only taxes matter for Euler wedges. $G/Y,g\left( A\right) ,g\left( N\right) $
have no effect. The following figures compare economies with constant vs.
time varying taxes.
Wedges are not affected much by taxes.
Wedges are typically "small." It is possible that mismeasurement of tax
rates, consumption, etc could account fully for wedges for 0.03 or so.
On the other hand, if wedges are expressed as capital tax rates, they are
"large." That is: wedges of the form $r=\left( F_{K}-\delta \right) \left(
1-\tau _{k}-\xi \right) $ would be on the order of 50\%.
Small wedges are not a success of the model. $I/Y$ paths are often quite
different from data. Wedges are still small. Two interpretations:
\begin{enumerate}
\item Wedges are a poor measure of the model's success.
\item The model does not make strong predictions about $I/Y$. Unless driving
forces are measured very precisely, very different $I/Y$ paths are
consistent with the model.
\end{enumerate}
Why do taxes not affect wedges much?
Tax rates vary by $0.05$ to $0.1$ for most countries (over time). That
translates into a change in the after tax interest rate of about $0.05\times
0.1$ or half a percentage point. A half-percentage point change in the wedge
is implied by that. Given that wedges are on the order to 3 to 5\%, the tax
does not amount to much.
Example: ITA has about the largest change in the tax rate, about 18
percentage points. This translates into a change in the wedge of about $%
0.05\times 0.18=0.01$ over the postwar period. Consistent with this back-of
the envelope calculation, the Italian wedge is essentially flat without
taxes, but rises by nearly $0.01$ with taxes. But the time series variation
in the ITA wedge is $0.09$ (trough to peak). The tax does not amount to much.
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To help interpret the wedges (are they large or small?), I\ show for each
country: $r,g\left( C/N\right) $ for model and data, and the Euler wedge.
With fixed hours, the wedge would equal $2~\left[ g\left( C/N\right)
_{data}-g\left( C/N\right) _{\func{mod}el}\right] $.
The model does a pretty good job with $g\left( C/N\right) $. Exceptions:
AUT, DEU and JPN in the 50s. This is where large wedges come from.
Disturbing: Some countries have small wedges, but very "wrong" $I/Y$
profiles (GBR, FIN). Suggests that wedges are not a good measure.
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\subsubsection{Static wedges}
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\section{Conclusion}
\pagebreak .
\section{Appendix}
.\pagebreak
\begin{thebibliography}{9}
\bibitem{Abel87} A.
\end{thebibliography}
\pagebreak
\section{Notation}
\subsection{Household}
$\lambda $ time endowment
$n$ labor supply per person
\subsection{Government}
$\omega _{n},\omega _{k}$: wedges
\end{document}
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\huge \bfseries #2%
\markboth{}{}\par}%
\nobreak
\vskip 3ex
\@afterheading}
\def\@spart#1{%
{\parindent \z@ \raggedright
\interlinepenalty \@M
\normalfont
\huge \bfseries #1\par}%
\nobreak
\vskip 3ex
\@afterheading}
\newcommand\section{\@startsection {section}{1}{\z@}%
{-3.5ex \@plus -1ex \@minus -.2ex}%
{2.3ex \@plus.2ex}%
{\normalfont\Large\bfseries}}
\newcommand\subsection{\@startsection{subsection}{2}{\z@}%
{-3.25ex\@plus -1ex \@minus -.2ex}%
{1.5ex \@plus .2ex}%
{\normalfont\large\bfseries}}
\newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%
{-3.25ex\@plus -1ex \@minus -.2ex}%
{1.5ex \@plus .2ex}%
{\normalfont\normalsize\bfseries}}
\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}%
{3.25ex \@plus1ex \@minus.2ex}%
{-1em}%
{\normalfont\normalsize\bfseries}}
\newcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}%
{3.25ex \@plus1ex \@minus .2ex}%
{-1em}%
{\normalfont\normalsize\bfseries}}
\if@twocolumn
\setlength\leftmargini {2em}
\else
\setlength\leftmargini {2.5em}
\fi
\leftmargin \leftmargini
\setlength\leftmarginii {2.2em}
\setlength\leftmarginiii {1.87em}
\setlength\leftmarginiv {1.7em}
\if@twocolumn
\setlength\leftmarginv {.5em}
\setlength\leftmarginvi {.5em}
\else
\setlength\leftmarginv {1em}
\setlength\leftmarginvi {1em}
\fi
\setlength \labelsep {.5em}
\setlength \labelwidth{\leftmargini}
\addtolength\labelwidth{-\labelsep}
\@beginparpenalty -\@lowpenalty
\@endparpenalty -\@lowpenalty
\@itempenalty -\@lowpenalty
\renewcommand\theenumi{\@arabic\c@enumi}
\renewcommand\theenumii{\@alph\c@enumii}
\renewcommand\theenumiii{\@roman\c@enumiii}
\renewcommand\theenumiv{\@Alph\c@enumiv}
\newcommand\labelenumi{\theenumi.}
\newcommand\labelenumii{(\theenumii)}
\newcommand\labelenumiii{\theenumiii.}
\newcommand\labelenumiv{\theenumiv.}
\renewcommand\p@enumii{\theenumi}
\renewcommand\p@enumiii{\theenumi(\theenumii)}
\renewcommand\p@enumiv{\p@enumiii\theenumiii}
\newcommand\labelitemi{\textbullet}
\newcommand\labelitemii{\normalfont\bfseries \textendash}
\newcommand\labelitemiii{\textasteriskcentered}
\newcommand\labelitemiv{\textperiodcentered}
\newenvironment{description}
{\list{}{\labelwidth\z@ \itemindent-\leftmargin
\let\makelabel\descriptionlabel}}
{\endlist}
\newcommand*\descriptionlabel[1]{\hspace\labelsep
\normalfont\bfseries #1}
\if@titlepage
\newenvironment{abstract}{%
\titlepage
\null\vfil
\@beginparpenalty\@lowpenalty
\begin{center}%
\bfseries \abstractname
\@endparpenalty\@M
\end{center}}%
{\par\vfil\null\endtitlepage}
\else
\newenvironment{abstract}{%
\if@twocolumn
\section*{\abstractname}%
\else
\small
\begin{center}%
{\bfseries \abstractname\vspace{-.5em}\vspace{\z@}}%
\end{center}%
\quotation
\fi}
{\if@twocolumn\else\endquotation\fi}
\fi
\newenvironment{verse}
{\let\\\@centercr
\list{}{\itemsep \z@
\itemindent -1.5em%
\listparindent\itemindent
\rightmargin \leftmargin
\advance\leftmargin 1.5em}%
\item\relax}
{\endlist}
\newenvironment{quotation}
{\list{}{\listparindent 1.5em%
\itemindent \listparindent
\rightmargin \leftmargin
\parsep \z@ \@plus\p@}%
\item\relax}
{\endlist}
\newenvironment{quote}
{\list{}{\rightmargin\leftmargin}%
\item\relax}
{\endlist}
\if@compatibility
\newenvironment{titlepage}
{%
\if@twocolumn
\@restonecoltrue\onecolumn
\else
\@restonecolfalse\newpage
\fi
\thispagestyle{empty}%
\setcounter{page}\z@
}%
{\if@restonecol\twocolumn \else \newpage \fi
}
\else
\newenvironment{titlepage}
{%
\if@twocolumn
\@restonecoltrue\onecolumn
\else
\@restonecolfalse\newpage
\fi
\thispagestyle{empty}%
\setcounter{page}\@ne
}%
{\if@restonecol\twocolumn \else \newpage \fi
\if@twoside\else
\setcounter{page}\@ne
\fi
}
\fi
\newcommand\appendix{\par
\setcounter{section}{0}%
\setcounter{subsection}{0}%
\gdef\thesection{\@Alph\c@section}}
\setlength\arraycolsep{5\p@}
\setlength\tabcolsep{6\p@}
\setlength\arrayrulewidth{.4\p@}
\setlength\doublerulesep{2\p@}
\setlength\tabbingsep{\labelsep}
\skip\@mpfootins = \skip\footins
\setlength\fboxsep{3\p@}
\setlength\fboxrule{.4\p@}
\renewcommand \theequation {\@arabic\c@equation}
\newcounter{figure}
\renewcommand \thefigure {\@arabic\c@figure}
\def\fps@figure{tbp}
\def\ftype@figure{1}
\def\ext@figure{lof}
\def\fnum@figure{\figurename\nobreakspace\thefigure}
\newenvironment{figure}
{\@float{figure}}
{\end@float}
\newenvironment{figure*}
{\@dblfloat{figure}}
{\end@dblfloat}
\newcounter{table}
\renewcommand\thetable{\@arabic\c@table}
\def\fps@table{tbp}
\def\ftype@table{2}
\def\ext@table{lot}
\def\fnum@table{\tablename\nobreakspace\thetable}
\newenvironment{table}
{\@float{table}}
{\end@float}
\newenvironment{table*}
{\@dblfloat{table}}
{\end@dblfloat}
\newlength\abovecaptionskip
\newlength\belowcaptionskip
\setlength\abovecaptionskip{10\p@}
\setlength\belowcaptionskip{0\p@}
\long\def\@makecaption#1#2{%
\vskip\abovecaptionskip
\sbox\@tempboxa{#1: #2}%
\ifdim \wd\@tempboxa >\hsize
#1: #2\par
\else
\global \@minipagefalse
\hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
\fi
\vskip\belowcaptionskip}
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal}
\newcommand\@pnumwidth{1.55em}
\newcommand\@tocrmarg{2.55em}
\newcommand\@dotsep{4.5}
\setcounter{tocdepth}{3}
\newcommand\tableofcontents{%
\section*{\contentsname
\@mkboth{%
\MakeUppercase\contentsname}{\MakeUppercase\contentsname}}%
\@starttoc{toc}%
}
\newcommand*\l@part[2]{%
\ifnum \c@tocdepth >-2\relax
\addpenalty\@secpenalty
\addvspace{2.25em \@plus\p@}%
\setlength\@tempdima{3em}%
\begingroup
\parindent \z@ \rightskip \@pnumwidth
\parfillskip -\@pnumwidth
{\leavevmode
\large \bfseries #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par
\nobreak
\if@compatibility
\global\@nobreaktrue
\everypar{\global\@nobreakfalse\everypar{}}%
\fi
\endgroup
\fi}
\newcommand*\l@section[2]{%
\ifnum \c@tocdepth >\z@
\addpenalty\@secpenalty
\addvspace{1.0em \@plus\p@}%
\setlength\@tempdima{1.5em}%
\begingroup
\parindent \z@ \rightskip \@pnumwidth
\parfillskip -\@pnumwidth
\leavevmode \bfseries
\advance\leftskip\@tempdima
\hskip -\leftskip
#1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par
\endgroup
\fi}
\newcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}}
\newcommand*\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}}
\newcommand*\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}}
\newcommand*\l@subparagraph{\@dottedtocline{5}{10em}{5em}}
\newcommand\listoffigures{%
\section*{\listfigurename}%
\@mkboth{\MakeUppercase\listfigurename}%
{\MakeUppercase\listfigurename}%
\@starttoc{lof}%
}
\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
\newcommand\listoftables{%
\section*{\listtablename}%
\@mkboth{%
\MakeUppercase\listtablename}%
{\MakeUppercase\listtablename}%
\@starttoc{lot}%
}
\let\l@table\l@figure
\newdimen\bibindent
\setlength\bibindent{1.5em}
\newenvironment{thebibliography}[1]
{\section*{\refname}%
\@mkboth{\MakeUppercase\refname}{\MakeUppercase\refname}%
\list{\@biblabel{\@arabic\c@enumiv}}%
{\settowidth\labelwidth{\@biblabel{#1}}%
\leftmargin\labelwidth
\advance\leftmargin\labelsep
\@openbib@code
\usecounter{enumiv}%
\let\p@enumiv\@empty
\renewcommand\theenumiv{\@arabic\c@enumiv}}%
\sloppy
\clubpenalty4000
\@clubpenalty \clubpenalty
\widowpenalty4000%
\sfcode`\.\@m}
{\def\@noitemerr
{\@latex@warning{Empty `thebibliography' environment}}%
\endlist}
\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em}
\let\@openbib@code\@empty
\newenvironment{theindex}
{\if@twocolumn
\@restonecolfalse
\else
\@restonecoltrue
\fi
\twocolumn[\section*{\indexname}]%
\@mkboth{\MakeUppercase\indexname}%
{\MakeUppercase\indexname}%
\thispagestyle{plain}\parindent\z@
\parskip\z@ \@plus .3\p@\relax
\columnseprule \z@
\columnsep 35\p@
\let\item\@idxitem}
{\if@restonecol\onecolumn\else\clearpage\fi}
\newcommand\@idxitem{\par\hangindent 40\p@}
\newcommand\subitem{\@idxitem \hspace*{20\p@}}
\newcommand\subsubitem{\@idxitem \hspace*{30\p@}}
\newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax}
\renewcommand\footnoterule{%
\kern-3\p@
\hrule\@width.4\columnwidth
\kern2.6\p@}
\newcommand\@makefntext[1]{%
\parindent 1em%
\noindent
\hb@xt@1.8em{\hss\@makefnmark}#1}
\newcommand\contentsname{Contents}
\newcommand\listfigurename{List of Figures}
\newcommand\listtablename{List of Tables}
\newcommand\refname{References}
\newcommand\indexname{Index}
\newcommand\figurename{Figure}
\newcommand\tablename{Table}
\newcommand\partname{Part}
\newcommand\appendixname{Appendix}
\newcommand\abstractname{Abstract}
\def\today{\ifcase\month\or
January\or February\or March\or April\or May\or June\or
July\or August\or September\or October\or November\or December\fi
\space\number\day, \number\year}
\setlength\columnsep{10\p@}
\setlength\columnseprule{0\p@}
\pagestyle{plain}
\pagenumbering{arabic}
\if@twoside
\else
\raggedbottom
\fi
\if@twocolumn
\twocolumn
\sloppy
\flushbottom
\else
\onecolumn
\fi
\endinput
%%
%% End of file `article.cls'.
%%%%%%%%%%%%%%%%%% End /macros/LaTeX/base/article.cls %%%%%%%%%%%%%%%%%
%%%%%%%%%%% Start /macros/latex209/contrib/misc/mitpress.sty %%%%%%%%%%
% mitpress.sty
\typeout{LaTeX style for MIT Press format.}
% Use it as \documentstyle[mitpress,...]{article}
\textheight 21.6cm
\textwidth 12.9cm
% latex.ltx defines arraycolsep as a dimension, so use \setlength (gp 09/18/1998)
%\renewcommand{\arraycolsep}{1pt}
\setlength{\arraycolsep}{1pt}
\def\@maketitle{\vbox to 2.5in{\hsize\textwidth \linewidth\hsize \vfil
\raggedright
{\LARGE\bf \@title \par} % Title set in \LARGE size.
\vskip 2em % Vertical space after title.
{\large \@author}
% {\large \begin{tabular}[t]{l}\@author \end{tabular}\par}
\vfil}}
\def\section{\@startsection {section}{1}{\z@}{-1.5ex}{1.5ex}{\large\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}{-1.2ex}{1.2ex}{\large\bf}}
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-1ex}{1ex}{
\normalsize\bf}}
\def\paragraph{\@startsection
{paragraph}{4}{\z@}{1ex}{-1em}{\normalsize\bf}}
\def\subparagraph{\@startsection
{subparagraph}{4}{\parindent}{1ex}{-1em}{\normalsize\bf}}
\def\thebibliography#1{\section*{References\@mkboth
{REFERENCES}{REFERENCES}}\list
{[\arabic{enumi}]}{\settowidth\labelwidth{[#1]}\leftmargin\labelwidth
\advance\leftmargin\labelsep
\itemsep 0pt \parsep 0pt
\usecounter{enumi}}
\def\newblock{\hskip .11em plus .33em minus .07em}
\sloppy\clubpenalty4000\widowpenalty4000
\sfcode`\.=1000\relax}
\endinput
%%%%%%%%%%%% End /macros/latex209/contrib/misc/mitpress.sty %%%%%%%%%%%
%%%%% Start /macros/LaTeX/contrib/supported/geometry/geometry.sty %%%%%
%%
%% This is file `geometry.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% geometry.dtx (with options: `package')
%%
%% File: geometry.dtx Copyright (C) 1996-2002 Hideo Umeki
%% (hideo.umeki@toshiba.co.jp)
%%
%% This package may be distributed under the terms of the LaTeX
%% Project Public License, as described in lppl.txt in the base
%% LaTeX distribution, either version 1.2 or (at your option)
%% any later version.
%%
\NeedsTeXFormat{LaTeX2e}%
\ProvidesPackage{geometry}[2002/07/08 v3.2 Page Geometry]
\RequirePackage{keyval}%
\newif\ifGm@verbose
\newif\ifGm@landscape
\newif\ifGm@includehead
\newif\ifGm@includefoot
\newif\ifGm@includemp
\newif\ifGm@hbody
\newif\ifGm@vbody
\newif\ifGm@heightrounded
\newif\ifGm@showframe
\newif\ifGm@compatii
\newif\ifGm@special
\newif\ifGm@sworient\Gm@sworientfalse
\newif\ifGm@pass\Gm@passfalse
\newcount\Gm@cnth
\newcount\Gm@cntv
\newcount\c@Gm@tempcnt
\newdimen\Gm@bindingoffset
\newdimen\Gm@wd@mp
\newdimen\Gm@odd@mp
\newdimen\Gm@even@mp
\newtoks\Gm@dimlist
\def\Gm@warning#1{\PackageWarningNoLine{geometry}{#1}}%
\@onlypreamble\Gm@warning
\def\Gm@Dhratio{1:1}% = left:right default for oneside
\def\Gm@Dhratiotwo{2:3}% = inner:outer default for twoside.
\def\Gm@Dvratio{2:3}% = top:bottom default
\@onlypreamble\Gm@Dhratio
\@onlypreamble\Gm@Dhratiotwo
\@onlypreamble\Gm@Dvratio
\def\Gm@Dhscale{0.7}%
\def\Gm@Dvscale{0.7}%
\@onlypreamble\Gm@Dhscale
\@onlypreamble\Gm@Dvscale
\def\Gm@dvips{dvips}%
\def\Gm@dvipdfm{dvipdfm}%
\def\Gm@pdftex{pdftex}%
\def\Gm@vtex{vtex}%
\@onlypreamble\Gm@dvips
\@onlypreamble\Gm@dvipdfm
\@onlypreamble\Gm@pdftex
\@onlypreamble\Gm@vtex
\def\Gm@true{true}%
\def\Gm@false{false}%
\edef\Gm@dorg{%
\noexpand\setlength{\paperwidth}{\the\paperwidth}%
\noexpand\setlength{\paperheight}{\the\paperheight}%
\noexpand\setlength{\textheight}{\the\textheight}%
\noexpand\setlength{\textwidth}{\the\textwidth}%
\noexpand\setlength{\oddsidemargin}{\the\oddsidemargin}%
\noexpand\setlength{\evensidemargin}{\the\evensidemargin}%
\noexpand\setlength{\topmargin}{\the\topmargin}%
\noexpand\setlength{\headsep}{\the\headsep}%
\noexpand\setlength{\headheight}{\the\headheight}%
\noexpand\setlength{\footskip}{\the\footskip}%
\noexpand\setlength{\marginparwidth}{\the\marginparwidth}%
\noexpand\setlength{\marginparsep}{\the\marginparsep}%
\noexpand\setlength{\columnsep}{\the\columnsep}%
\noexpand\setlength{\skip\footins}{\the\skip\footins}%
\noexpand\setlength{\hoffset}{\the\hoffset}%
\noexpand\setlength{\voffset}{\the\voffset}%
\expandafter\noexpand\csname @twocolumn\if@twocolumn
\Gm@true\else\Gm@false\fi\endcsname
\expandafter\noexpand\csname @twoside\if@twoside
\Gm@true\else\Gm@false\fi\endcsname
\expandafter\noexpand\csname @mparswitch\if@mparswitch
\Gm@true\else\Gm@false\fi\endcsname
\expandafter\noexpand\csname @reversemargin\if@reversemargin
\Gm@true\else\Gm@false\fi\endcsname
\noexpand\mag=\the\mag}%
\@onlypreamble\Gm@dorg
\def\Gm@init{%
\Gm@hbodyfalse\Gm@vbodyfalse
\Gm@includeheadfalse\Gm@includefootfalse\Gm@includempfalse
\Gm@landscapefalse\Gm@compatiifalse\Gm@heightroundedfalse
\Gm@verbosefalse\Gm@showframefalse\Gm@specialfalse
\let\Gm@paper\@undefined
\let\Gm@width\@undefined\let\Gm@height\@undefined
\let\Gm@textwidth\@undefined\let\Gm@textheight\@undefined
\let\Gm@hscale\@undefined\let\Gm@vscale\@undefined
\let\Gm@hmarginratio\@undefined\let\Gm@vmarginratio\@undefined
\let\Gm@lmargin\@undefined\let\Gm@rmargin\@undefined
\let\Gm@tmargin\@undefined\let\Gm@bmargin\@undefined
\let\Gm@driver\@empty\let\Gm@truedimen\@empty
\Gm@bindingoffset\z@\Gm@dimlist={}}%
\@onlypreamble\Gm@init
\def\Gm@setdriver#1{%
\expandafter\let\expandafter\Gm@driver\csname Gm@#1\endcsname}%
\def\Gm@unsetdriver#1{%
\expandafter\ifx\csname Gm@#1\endcsname\Gm@driver
\let\Gm@driver\@empty
\fi}%
\def\Gm@setbool{\@dblarg\Gm@@setbool}%
\def\Gm@setboolrev{\@dblarg\Gm@@setboolrev}%
\def\Gm@@setbool[#1]#2#3{\Gm@doif{#1}{#3}{\csname Gm@#2\Gm@bool\endcsname}}%
\def\Gm@@setboolrev[#1]#2#3{\Gm@doifelse{#1}{#3}%
{\csname Gm@#2\Gm@false\endcsname}{\csname Gm@#2\Gm@true\endcsname}}%
\@onlypreamble\Gm@setbool
\@onlypreamble\Gm@setboolrev
\@onlypreamble\Gm@@setbool
\@onlypreamble\Gm@@setboolrev
\def\Gm@doif#1#2#3{%
\lowercase{\def\Gm@bool{#2}}%
\ifx\Gm@bool\@empty
\let\Gm@bool\Gm@true
\fi
\ifx\Gm@bool\Gm@true
\else
\ifx\Gm@bool\Gm@false
\else
\let\Gm@bool\relax
\fi
\fi
\ifx\Gm@bool\relax
\Gm@warning{`#1' should be set to `true' or `false'}%
\else
#3
\fi}%
\def\Gm@doifelse#1#2#3#4{%
\Gm@doif{#1}{#2}{\ifx\Gm@bool\Gm@true #3\else #4\fi}}%
\@onlypreamble\Gm@doif
\@onlypreamble\Gm@doifelse
\def\Gm@reverse#1{%
\csname ifGm@#1\endcsname
\csname Gm@#1false\endcsname\else\csname Gm@#1true\endcsname\fi}%
\@onlypreamble\Gm@reverse
\def\Gm@checkbool#1{#1: \csname ifGm@#1\endcsname true\else --\fi^^J}%
\@onlypreamble\Gm@checkbool
\def\Gm@defbylen#1#2{%
\setlength\@tempdima{#2}%
\expandafter\edef\csname Gm@#1\endcsname{\the\@tempdima}}%
\def\Gm@defbycnt#1#2{%
\setcounter{Gm@tempcnt}{#2}%
\expandafter\edef\csname Gm@#1\endcsname{\the\value{Gm@tempcnt}}}%
\@onlypreamble\Gm@defbylen
\@onlypreamble\Gm@defbycnt
\def\Gm@sep@ratio#1:#2{\@tempcnta=#1\@tempcntb=#2}%
\@onlypreamble\Gm@set@ratio
\def\Gm@setbyratio[#1]#2#3#4{% determine #4 by ratio
\expandafter\Gm@sep@ratio\Gm@mratio\relax
\if#1b
\edef\@@tempa{\the\@tempcnta}%
\@tempcnta=\@tempcntb
\@tempcntb=\@@tempa\relax
\fi
\expandafter\setlength\expandafter\@tempdimb\expandafter
{\csname Gm@#3\endcsname}%
\ifnum\@tempcntb>\z@
\multiply\@tempdimb\@tempcnta
\divide\@tempdimb\@tempcntb
\fi
\expandafter\edef\csname Gm@#4\endcsname{\the\@tempdimb}}%
\@onlypreamble\Gm@setbyratio
\def\Gm@detiv#1#2#3#4{% determine #4.
\expandafter\setlength\expandafter\@tempdima\expandafter
{\csname paper#1\endcsname}%
\expandafter\setlength\expandafter\@tempdimb\expandafter
{\csname Gm@#2\endcsname}%
\addtolength\@tempdima{-\@tempdimb}%
\expandafter\setlength\expandafter\@tempdimb\expandafter
{\csname Gm@#3\endcsname}%
\addtolength\@tempdima{-\@tempdimb}%
\ifdim\@tempdima<\z@
\Gm@warning{`#4' results in NEGATIVE (\the\@tempdima).%
^^J\@spaces `#2' or `#3' should be shortened in length}%
\fi
\expandafter\edef\csname Gm@#4\endcsname{\the\@tempdima}}%
\@onlypreamble\Gm@detiv
\def\Gm@detiiandiii#1#2#3{% determine #2 and #3.
\expandafter\setlength\expandafter\@tempdima\expandafter
{\csname paper#1\endcsname}%
\expandafter\setlength\expandafter\@tempdimb\expandafter
{\csname Gm@#1\endcsname}%
\addtolength\@tempdima{-\@tempdimb}%
\ifdim\@tempdima<\z@
\Gm@warning{`#2' and `#3' result in NEGATIVE (\the\@tempdima).%
^^J\@spaces `#1' should be shortened in length}%
\fi
\ifx\Gm@mratio\@undefined
\divide\@tempdima\tw@
\@tempdimb=\@tempdima
\else
\@tempdimb=\@tempdima
\expandafter\Gm@sep@ratio\Gm@mratio\relax
\advance\@tempcntb\@tempcnta
\ifnum\@tempcntb>\z@
\divide\@tempdima\@tempcntb
\multiply\@tempdima\@tempcnta
\advance\@tempdimb-\@tempdima
\else
\divide\@tempdima\tw@
\@tempdimb=\@tempdima
\fi
\fi
\expandafter\edef\csname Gm@#2\endcsname{\the\@tempdima}%
\expandafter\edef\csname Gm@#3\endcsname{\the\@tempdimb}}%
\@onlypreamble\Gm@detiiandiii
\def\Gm@detall#1#2#3#4{%
\@tempcnta\z@
\edef\Gm@mratio{\@nameuse{Gm@#1marginratio}}%
\if#1h
\ifx\Gm@lmargin\@undefined\else\advance\@tempcnta4\relax\fi
\ifGm@hbody\advance\@tempcnta2\relax\fi
\ifx\Gm@rmargin\@undefined\else\advance\@tempcnta1\relax\fi
\Gm@cnth\@tempcnta
\else
\ifx\Gm@tmargin\@undefined\else\advance\@tempcnta4\relax\fi
\ifGm@vbody\advance\@tempcnta2\relax\fi
\ifx\Gm@bmargin\@undefined\else\advance\@tempcnta1\relax\fi
\Gm@cntv\@tempcnta
\fi
\ifcase\@tempcnta
\if#1h
\edef\Gm@width{\Gm@Dhscale\paperwidth}%
\else
\edef\Gm@height{\Gm@Dvscale\paperheight}%
\fi
\Gm@detiiandiii{#2}{#3}{#4}%
\or\Gm@setbyratio[f]{#1}{#4}{#3}\Gm@detiv{#2}{#3}{#4}{#2}%
\or\Gm@detiiandiii{#2}{#3}{#4}%
\or\Gm@detiv{#2}{#2}{#4}{#3}%
\or\Gm@setbyratio[b]{#1}{#3}{#4}\Gm@detiv{#2}{#3}{#4}{#2}%
\or\Gm@detiv{#2}{#3}{#4}{#2}%
\or\Gm@detiv{#2}{#2}{#3}{#4}%
\or\Gm@warning{Over-specification in `#1'-direction.%
^^J\@spaces `#2' (\@nameuse{Gm@#2}) is ignored}%
\Gm@detiv{#2}{#3}{#4}{#2}%
\else\fi}%
\@onlypreamble\Gm@detall
\def\Gm@clean{%
\ifnum\Gm@cnth<4\let\Gm@lmargin\@undefined\fi
\ifodd\Gm@cnth\else\let\Gm@rmargin\@undefined\fi
\ifnum\Gm@cntv<4\let\Gm@tmargin\@undefined\fi
\ifodd\Gm@cntv\else\let\Gm@bmargin\@undefined\fi
\ifGm@hbody\else
\let\Gm@hscale\@undefined
\let\Gm@width\@undefined
\let\Gm@textwidth\@undefined
\fi
\ifGm@vbody\else
\let\Gm@vscale\@undefined
\let\Gm@height\@undefined
\let\Gm@textheight\@undefined
\fi
\if@twoside
\ifx\Gm@hmarginratio\Gm@Dhratiotwo
\let\Gm@hmarginratio\@undefined
\fi
\else
\ifx\Gm@hmarginratio\Gm@Dhratio
\let\Gm@hmarginratio\@undefined
\fi
\fi}%
\@onlypreamble\Gm@clean
\def\Gm@parse@divide#1#2#3#4{%
\def\Gm@star{*}%
\@tempcnta\z@
\@for\Gm@tmp:=#1\do{%
\expandafter\KV@@sp@def\expandafter\Gm@frag\expandafter{\Gm@tmp}%
\edef\Gm@value{\Gm@frag}%
\ifcase\@tempcnta\relax\edef\Gm@key{#2}%
\or\edef\Gm@key{#3}%
\else\edef\Gm@key{#4}%
\fi
\@nameuse{Gm@set\Gm@key false}%
\ifx\empty\Gm@value\else
\ifx\Gm@star\Gm@value\else
\setkeys{Gm}{\Gm@key=\Gm@value}%
\fi\fi
\advance\@tempcnta\@ne}%
\let\Gm@star\relax}%
\@onlypreamble\Gm@parse@divide
\def\Gm@branch#1#2#3{%
\@tempcnta\z@
\@for\Gm@tmp:=#1\do{%
\KV@@sp@def\Gm@frag{\Gm@tmp}%
\edef\Gm@value{\Gm@frag}%
\ifcase\@tempcnta\relax% cnta == 0
\setkeys{Gm}{#2=\Gm@value}%
\or% cnta == 1
\setkeys{Gm}{#3=\Gm@value}%
\else\fi
\advance\@tempcnta\@ne}%
\ifnum\@tempcnta=\@ne
\setkeys{Gm}{#3=\Gm@value}%
\fi}%
\@onlypreamble\Gm@branch
\def\Gm@magtooffset{%
\@tempdima=\mag\Gm@truedimen sp%
\@tempdimb=1\Gm@truedimen in%
\divide\@tempdimb\@tempdima
\multiply\@tempdimb\@m
\addtolength{\hoffset}{1\Gm@truedimen in}%
\addtolength{\voffset}{1\Gm@truedimen in}%
\addtolength{\hoffset}{-\the\@tempdimb}%
\addtolength{\voffset}{-\the\@tempdimb}}%
\@onlypreamble\Gm@magtooffset
\def\Gm@setafter#1#2{%
\let\Gm@len=\relax\let\Gm@td=\relax
\edef\addtolist{\noexpand\Gm@dimlist=%
{\the\Gm@dimlist \Gm@len{#1}{#2}}}\addtolist}%
\@onlypreamble\Gm@setafter
\def\Gm@processdimlist{%
\def\Gm@td{\Gm@truedimen}%
\def\Gm@len##1##2{\setlength{##1}{##2}}%
\the\Gm@dimlist}%
\@onlypreamble\Gm@processdimlist
\def\Gm@setpaper(#1,#2)#3{%
\let\Gm@td\relax
\Gm@setafter\paperwidth{#1\Gm@td #3}%
\Gm@setafter\paperheight{#2\Gm@td #3}%
\ifGm@landscape\Gm@sworienttrue\else\Gm@sworientfalse\fi}%
\@onlypreamble\Gm@setpaper
\def\Gm@chpaper{\@nameuse{Gm@\Gm@paper}}%
\@onlypreamble\Gm@chpaper
\@namedef{Gm@a0paper}{\Gm@setpaper(841,1189){mm}}%
\@namedef{Gm@a1paper}{\Gm@setpaper(595,841){mm}}%
\@namedef{Gm@a2paper}{\Gm@setpaper(420,595){mm}}%
\@namedef{Gm@a3paper}{\Gm@setpaper(297,420){mm}}%
\@namedef{Gm@a4paper}{\Gm@setpaper(210,297){mm}}%
\@namedef{Gm@a5paper}{\Gm@setpaper(149,210){mm}}%
\@namedef{Gm@a6paper}{\Gm@setpaper(105,149){mm}}%
\@namedef{Gm@b0paper}{\Gm@setpaper(1000,1414){mm}}%
\@namedef{Gm@b1paper}{\Gm@setpaper(707,1000){mm}}%
\@namedef{Gm@b2paper}{\Gm@setpaper(500,707){mm}}%
\@namedef{Gm@b3paper}{\Gm@setpaper(353,500){mm}}%
\@namedef{Gm@b4paper}{\Gm@setpaper(250,353){mm}}%
\@namedef{Gm@b5paper}{\Gm@setpaper(176,250){mm}}%
\@namedef{Gm@b6paper}{\Gm@setpaper(125,176){mm}}%
\@namedef{Gm@letterpaper}{\Gm@setpaper(8.5,11){in}}%
\@namedef{Gm@legalpaper}{\Gm@setpaper(8.5,14){in}}%
\@namedef{Gm@executivepaper}{\Gm@setpaper(7.25,10.5){in}}%
\@namedef{Gm@screen}{\Gm@setpaper(225,180){mm}}%
\define@key{Gm}{paper}{\setkeys{Gm}{#1}}%
\let\KV@Gm@papername\KV@Gm@paper
\define@key{Gm}{a0paper}[true]{\def\Gm@paper{a0paper}\Gm@chpaper}%
\define@key{Gm}{a1paper}[true]{\def\Gm@paper{a1paper}\Gm@chpaper}%
\define@key{Gm}{a2paper}[true]{\def\Gm@paper{a2paper}\Gm@chpaper}%
\define@key{Gm}{a3paper}[true]{\def\Gm@paper{a3paper}\Gm@chpaper}%
\define@key{Gm}{a4paper}[true]{\def\Gm@paper{a4paper}\Gm@chpaper}%
\define@key{Gm}{a5paper}[true]{\def\Gm@paper{a5paper}\Gm@chpaper}%
\define@key{Gm}{a6paper}[true]{\def\Gm@paper{a6paper}\Gm@chpaper}%
\define@key{Gm}{b0paper}[true]{\def\Gm@paper{b0paper}\Gm@chpaper}%
\define@key{Gm}{b1paper}[true]{\def\Gm@paper{b1paper}\Gm@chpaper}%
\define@key{Gm}{b2paper}[true]{\def\Gm@paper{b2paper}\Gm@chpaper}%
\define@key{Gm}{b3paper}[true]{\def\Gm@paper{b3paper}\Gm@chpaper}%
\define@key{Gm}{b4paper}[true]{\def\Gm@paper{b4paper}\Gm@chpaper}%
\define@key{Gm}{b5paper}[true]{\def\Gm@paper{b5paper}\Gm@chpaper}%
\define@key{Gm}{b6paper}[true]{\def\Gm@paper{b6paper}\Gm@chpaper}%
\define@key{Gm}{letterpaper}[true]{\def\Gm@paper{letterpaper}\Gm@chpaper}%
\define@key{Gm}{legalpaper}[true]{\def\Gm@paper{legalpaper}\Gm@chpaper}%
\define@key{Gm}{executivepaper}[true]{\def\Gm@paper{executivepaper}%
\Gm@chpaper}%
\define@key{Gm}{screen}[true]{\def\Gm@paper{screen}\Gm@chpaper}%
\define@key{Gm}{paperwidth}{%
\Gm@setafter\paperwidth{#1}\def\Gm@paper{user defined}}%
\define@key{Gm}{paperheight}{%
\Gm@setafter\paperheight{#1}\def\Gm@paper{user defined}}%
\define@key{Gm}{papersize}{\Gm@branch{#1}{paperwidth}{paperheight}}%
\define@key{Gm}{landscape}[true]{\Gm@doifelse{landscape}{#1}%
{\ifGm@landscape\else\Gm@landscapetrue\Gm@reverse{sworient}\fi}%
{\ifGm@landscape\Gm@landscapefalse\Gm@reverse{sworient}\fi}}%
\define@key{Gm}{portrait}[true]{\Gm@doifelse{portrait}{#1}%
{\ifGm@landscape\Gm@landscapefalse\Gm@reverse{sworient}\fi}%
{\ifGm@landscape\else\Gm@landscapetrue\Gm@reverse{sworient}\fi}}%
\define@key{Gm}{hscale}{\Gm@hbodytrue\edef\Gm@hscale{#1}}%
\define@key{Gm}{vscale}{\Gm@vbodytrue\edef\Gm@vscale{#1}}%
\define@key{Gm}{scale}{\Gm@branch{#1}{hscale}{vscale}}%
\define@key{Gm}{width}{\Gm@hbodytrue\Gm@defbylen{width}{#1}}%
\define@key{Gm}{height}{\Gm@vbodytrue\Gm@defbylen{height}{#1}}%
\define@key{Gm}{total}{\Gm@branch{#1}{width}{height}}%
\let\KV@Gm@totalwidth\KV@Gm@width
\let\KV@Gm@totalheight\KV@Gm@height
\define@key{Gm}{textwidth}{\Gm@hbodytrue\Gm@defbylen{textwidth}{#1}}%
\define@key{Gm}{textheight}{\Gm@vbodytrue\Gm@defbylen{textheight}{#1}}%
\define@key{Gm}{text}{\Gm@branch{#1}{textwidth}{textheight}}%
\let\KV@Gm@body\KV@Gm@text
\define@key{Gm}{lines}{\Gm@vbodytrue\Gm@defbycnt{lines}{#1}}%
\define@key{Gm}{includehead}[true]{\Gm@setbool{includehead}{#1}}%
\define@key{Gm}{includefoot}[true]{\Gm@setbool{includefoot}{#1}}%
\define@key{Gm}{includeheadfoot}[true]{\Gm@doifelse{includeheadfoot}{#1}%
{\Gm@includeheadtrue\Gm@includefoottrue}%
{\Gm@includeheadfalse\Gm@includefootfalse}}%
\define@key{Gm}{includemp}[true]{\Gm@setbool{includemp}{#1}}%
\define@key{Gm}{includeall}[true]{\Gm@doifelse{includeall}{#1}%
{\Gm@includeheadtrue\Gm@includefoottrue\Gm@includemptrue}%
{\Gm@includeheadfalse\Gm@includefootfalse\Gm@includempfalse}}%
\define@key{Gm}{ignorehead}[true]{%
\Gm@setboolrev[ignorehead]{includehead}{#1}}%
\define@key{Gm}{ignorefoot}[true]{%
\Gm@setboolrev[ignorefoot]{includefoot}{#1}}%
\define@key{Gm}{ignoreheadfoot}[true]{\Gm@doifelse{ignoreheadfoot}{#1}%
{\Gm@includeheadfalse\Gm@includefootfalse}%
{\Gm@includeheadtrue\Gm@includefoottrue}}%
\define@key{Gm}{ignoremp}[true]{%
\Gm@setboolrev[ignoremp]{includemp}{#1}}%
\define@key{Gm}{ignoreall}[true]{\Gm@doifelse{ignoreall}{#1}%
{\Gm@includeheadfalse\Gm@includefootfalse\Gm@includempfalse}%
{\Gm@includeheadtrue\Gm@includefoottrue\Gm@includemptrue}}%
\define@key{Gm}{heightrounded}[true]{\Gm@setbool{heightrounded}{#1}}%
\define@key{Gm}{hdivide}{\Gm@parse@divide{#1}{lmargin}{width}{rmargin}}%
\define@key{Gm}{vdivide}{\Gm@parse@divide{#1}{tmargin}{height}{bmargin}}%
\define@key{Gm}{divide}{\Gm@parse@divide{#1}{lmargin}{width}{rmargin}%
\Gm@parse@divide{#1}{tmargin}{height}{bmargin}}%
\define@key{Gm}{lmargin}{\Gm@defbylen{lmargin}{#1}}%
\define@key{Gm}{rmargin}{\Gm@defbylen{rmargin}{#1}}%
\let\KV@Gm@left\KV@Gm@lmargin
\let\KV@Gm@inner\KV@Gm@lmargin
\let\KV@Gm@innermargin\KV@Gm@lmargin
\let\KV@Gm@right\KV@Gm@rmargin
\let\KV@Gm@outer\KV@Gm@rmargin
\let\KV@Gm@outermargin\KV@Gm@rmargin
\define@key{Gm}{tmargin}{\Gm@defbylen{tmargin}{#1}}%
\define@key{Gm}{bmargin}{\Gm@defbylen{bmargin}{#1}}%
\let\KV@Gm@top\KV@Gm@tmargin
\let\KV@Gm@bottom\KV@Gm@bmargin
\define@key{Gm}{hmargin}{\Gm@branch{#1}{lmargin}{rmargin}}%
\define@key{Gm}{vmargin}{\Gm@branch{#1}{tmargin}{bmargin}}%
\define@key{Gm}{margin}{\Gm@branch{#1}{lmargin}{tmargin}%
\Gm@branch{#1}{rmargin}{bmargin}}%
\define@key{Gm}{hmarginratio}{\edef\Gm@hmarginratio{#1}}%
\define@key{Gm}{vmarginratio}{\edef\Gm@vmarginratio{#1}}%
\define@key{Gm}{marginratio}{\Gm@branch{#1}{hmarginratio}{vmarginratio}}%
\let\KV@Gm@hratio\KV@Gm@hmarginratio
\let\KV@Gm@vratio\KV@Gm@vmarginratio
\let\KV@Gm@ratio\KV@Gm@marginratio
\define@key{Gm}{hcentering}[true]{\Gm@doifelse{hcentering}{#1}%
{\def\Gm@hmarginratio{1:1}}{}}%
\define@key{Gm}{vcentering}[true]{\Gm@doifelse{vcentering}{#1}%
{\def\Gm@vmarginratio{1:1}}{}}%
\define@key{Gm}{centering}[true]{\Gm@doifelse{centering}{#1}%
{\def\Gm@hmarginratio{1:1}\def\Gm@vmarginratio{1:1}}{}}%
\define@key{Gm}{twoside}[true]{\Gm@doifelse{twoside}{#1}%
{\@twosidetrue\@mparswitchtrue}{\@twosidefalse\@mparswitchfalse}}%
\define@key{Gm}{asymmetric}[true]{\Gm@doifelse{asymmetric}{#1}%
{\@twosidetrue\@mparswitchfalse}{}}%
\define@key{Gm}{bindingoffset}{\Gm@setafter\Gm@bindingoffset{#1}}%
\define@key{Gm}{headheight}{\Gm@setafter\headheight{#1}}%
\define@key{Gm}{headsep}{\Gm@setafter\headsep{#1}}%
\define@key{Gm}{footskip}{\Gm@setafter\footskip{#1}}%
\let\KV@Gm@head\KV@Gm@headheight
\let\KV@Gm@foot\KV@Gm@footskip
\define@key{Gm}{nohead}[true]{\Gm@doifelse{nohead}{#1}%
{\Gm@setafter\headheight\z@\Gm@setafter\headsep\z@}{}}%
\define@key{Gm}{nofoot}[true]{\Gm@doifelse{nofoot}{#1}%
{\Gm@setafter\footskip\z@}{}}%
\define@key{Gm}{noheadfoot}[true]{\Gm@doifelse{noheadfoot}{#1}%
{\Gm@setafter\headheight\z@\Gm@setafter\headsep
\z@\Gm@setafter\footskip\z@}{}}%
\define@key{Gm}{footnotesep}{\Gm@setafter{\skip\footins}{#1}}%
\define@key{Gm}{marginparwidth}{\ifGm@compatii\Gm@includemptrue\fi
\Gm@setafter\marginparwidth{#1}}%
\let\KV@Gm@marginpar\KV@Gm@marginparwidth
\define@key{Gm}{marginparsep}{\ifGm@compatii\Gm@includemptrue\fi
\Gm@setafter\marginparsep{#1}}%
\define@key{Gm}{nomarginpar}[true]{\Gm@doifelse{nomarginpar}{#1}%
{\Gm@setafter\marginparwidth\z@\Gm@setafter\marginparsep\z@}{}}%
\define@key{Gm}{columnsep}{\Gm@setafter\columnsep{#1}}%
\define@key{Gm}{hoffset}{\Gm@setafter\hoffset{#1}}%
\define@key{Gm}{voffset}{\Gm@setafter\voffset{#1}}%
\define@key{Gm}{offset}{\Gm@branch{#1}{hoffset}{voffset}}%
\define@key{Gm}{twocolumn}[true]{%
\Gm@doif{twocolumn}{#1}{\csname @twocolumn\Gm@bool\endcsname}}%
\define@key{Gm}{reversemp}[true]{%
\Gm@doif{reversemp}{#1}{\csname @reversemargin\Gm@bool\endcsname}}%
\define@key{Gm}{reversemarginpar}[true]{%
\Gm@doif{reversemarginpar}{#1}{\csname @reversemargin\Gm@bool\endcsname}}%
\define@key{Gm}{driver}{\edef\@@tempa{#1}%
\ifx\@@tempa\@empty\let\Gm@driver\@empty\else\setkeys{Gm}{#1}\fi}%
\define@key{Gm}{dvips}[true]{%
\Gm@doifelse{dvips}{#1}{\Gm@setdriver{dvips}}{\Gm@unsetdriver{dvips}}}%
\define@key{Gm}{dvipdfm}[true]{%
\Gm@doifelse{dvipdfm}{#1}{\Gm@setdriver{dvipdfm}}{\Gm@unsetdriver{dvipdfm}}}%
\define@key{Gm}{pdftex}[true]{%
\Gm@doifelse{pdftex}{#1}{\Gm@setdriver{pdftex}}{\Gm@unsetdriver{pdftex}}}%
\define@key{Gm}{vtex}[true]{%
\Gm@doifelse{vtex}{#1}{\Gm@setdriver{vtex}}{\Gm@unsetdriver{vtex}}}%
\define@key{Gm}{verbose}[true]{\Gm@setbool{verbose}{#1}}%
\define@key{Gm}{reset}[true]{\Gm@doifelse{reset}{#1}%
{\Gm@init\Gm@dorg\ProcessOptionsKV[c]{Gm}\Gm@setdefaultpaper}{}}%
\define@key{Gm}{mag}{\mag=#1}%
\define@key{Gm}{truedimen}[true]{\Gm@doifelse{truedimen}{#1}%
{\let\Gm@truedimen\Gm@true}{\let\Gm@truedimen\@empty}}%
\define@key{Gm}{pass}[true]{\Gm@setbool{pass}{#1}}%
\define@key{Gm}{showframe}[true]{\Gm@setbool{showframe}{#1}}%
\define@key{Gm}{compat2}[true]{%
\Gm@doifelse{compat2}{#1}{\Gm@compatiitrue
\setkeys{Gm}{scale={0.8,0.9},centering,includeheadfoot}}{}}%
\define@key{Gm}{twosideshift}{%
\ifGm@compatii\@twosidetrue\@mparswitchtrue\Gm@defbylen{twosideshift}{#1}%
\else\Gm@warning{`twosideshift' is obsolete}%
\fi}%
\def\Gm@setdefaultpaper{%
\ifx\Gm@paper\@undefined
\Gm@setpaper(\strip@pt\paperwidth,\strip@pt\paperheight){pt}%
\Gm@sworientfalse
\fi}%
\@onlypreamble\Gm@setdefaultpaper
\def\Gm@checkpaper{%
\ifdim\paperwidth>\p@\else
\PackageError{geometry}{%
You must set \string\paperwidth\space properly}{%
Set your paper type (e.g., `a4paper' for A4) as a class option^^J%
or as a geometry package option.}%
\fi
\ifdim\paperheight>\p@\else
\PackageError{geometry}{%
You must set \string\paperheight\space properly}{%
Set your paper type (e.g., `a4paper' for A4) as a class option^^J%
or as a geometry package option.}%
\fi}%
\def\Gm@checkmp{%
\ifGm@includemp\else
\@tempcnta\z@\@tempcntb\@ne
\if@twocolumn
\@tempcnta\@ne
\else
\if@reversemargin
\@tempcnta\@ne\@tempcntb\z@
\fi
\fi
\@tempdima\marginparwidth
\advance\@tempdima\marginparsep
\ifnum\@tempcnta=\@ne
\@tempdimc\@tempdima
\setlength\@tempdimb{\Gm@lmargin}%
\advance\@tempdimc-\@tempdimb
\ifdim\@tempdimc>\z@
\Gm@warning{The marginal notes would fall off the page.^^J
\@spaces Add \the\@tempdimc\space and more to the left margin}%
\fi
\fi
\ifnum\@tempcntb=\@ne
\@tempdimc\@tempdima
\setlength\@tempdimb{\Gm@rmargin}%
\advance\@tempdimc-\@tempdimb
\ifdim\@tempdimc>\z@
\Gm@warning{The marginal notes would fall off the page.^^J
\@spaces Add \the\@tempdimc\space and more to the right margin}%
\fi
\fi
\fi}%
\@onlypreamble\Gm@checkmp
\def\Gm@checkdrivers{%
\ifx\pdfpagewidth\@undefined\else
\ifnum\pdfoutput=\@ne
\Gm@setdriver{pdftex}%
\fi
\fi
\ifx\VTeXversion\@undefined\else
\ifnum\OpMode=\@ne
\Gm@setdriver{vtex}%
\else
\ifnum\OpMode=\tw@
\Gm@setdriver{vtex}%
\fi
\fi
\fi
\ifx\Gm@driver\Gm@dvips
\Gm@specialtrue
\else
\ifx\Gm@driver\Gm@dvipdfm
\Gm@specialtrue
\fi
\fi}%
\@onlypreamble\Gm@checkdrivers
\def\Gm@mpfix{%
\@tempdimb\marginparwidth
\advance\@tempdimb\marginparsep
\Gm@wd@mp\@tempdimb
\Gm@odd@mp\z@
\Gm@even@mp\z@
\if@twocolumn
\Gm@wd@mp2\@tempdimb
\Gm@odd@mp\@tempdimb
\Gm@even@mp\@tempdimb
\else
\if@reversemargin
\Gm@odd@mp\@tempdimb
\if@mparswitch\else
\Gm@even@mp\@tempdimb
\fi
\else
\if@mparswitch
\Gm@even@mp\@tempdimb
\fi
\fi
\fi}%
\@onlypreamble\Gm@mpfix
\def\Gm@process{%
\ifGm@pass
\Gm@dorg
\else
\Gm@processdimlist
\ifx\Gm@hmarginratio\@undefined
\if@twoside
\edef\Gm@hmarginratio{\Gm@Dhratiotwo}%
\else
\edef\Gm@hmarginratio{\Gm@Dhratio}%
\fi
\fi
\ifx\Gm@vmarginratio\@undefined
\edef\Gm@vmarginratio{\Gm@Dvratio}%
\fi
\Gm@checkpaper
\ifGm@sworient
\setlength\@tempdima{\paperwidth}%
\setlength\paperwidth{\paperheight}%
\setlength\paperheight{\@tempdima}%
\Gm@setpaper(\strip@pt\paperwidth,\strip@pt\paperheight){pt}%
\Gm@sworientfalse
\fi
\addtolength\paperwidth{-\Gm@bindingoffset}%
\ifGm@includemp
\Gm@mpfix
\fi
\ifGm@hbody
\ifx\Gm@width\@undefined
\ifx\Gm@hscale\@undefined
\edef\Gm@width{\Gm@Dhscale\paperwidth}%
\else
\edef\Gm@width{\Gm@hscale\paperwidth}%
\fi
\fi
\ifx\Gm@textwidth\@undefined\else
\setlength\@tempdima{\Gm@textwidth}%
\ifGm@includemp
\advance\@tempdima\Gm@wd@mp
\fi
\edef\Gm@width{\the\@tempdima}%
\fi
\fi
\ifGm@vbody
\ifx\Gm@height\@undefined
\ifx\Gm@vscale\@undefined
\edef\Gm@height{\Gm@Dvscale\paperheight}%
\else
\edef\Gm@height{\Gm@vscale\paperheight}%
\fi
\fi
\ifx\Gm@lines\@undefined\else
\setlength\@tempdima{\baselineskip}%
\multiply\@tempdima\Gm@lines
\addtolength\@tempdima{\topskip}%
\addtolength\@tempdima{-\baselineskip}%
\edef\Gm@textheight{\the\@tempdima}%
\fi
\ifx\Gm@textheight\@undefined\else
\setlength\@tempdima{\Gm@textheight}%
\ifGm@includehead
\addtolength\@tempdima{\headheight}%
\addtolength\@tempdima{\headsep}%
\fi
\ifGm@includefoot
\addtolength\@tempdima{\footskip}%
\fi
\edef\Gm@height{\the\@tempdima}%
\fi
\fi
\Gm@detall{h}{width}{lmargin}{rmargin}%
\Gm@detall{v}{height}{tmargin}{bmargin}%
\setlength\textwidth{\Gm@width}%
\setlength\textheight{\Gm@height}%
\setlength\topmargin{\Gm@tmargin}%
\setlength\oddsidemargin{\Gm@lmargin}%
\addtolength\oddsidemargin{-1\Gm@truedimen in}%
\ifGm@includemp
\advance\textwidth-\Gm@wd@mp
\advance\oddsidemargin\Gm@odd@mp
\fi
\if@mparswitch
\setlength\evensidemargin{\Gm@rmargin}%
\addtolength\evensidemargin{-1\Gm@truedimen in}%
\ifGm@includemp
\advance\evensidemargin\Gm@even@mp
\fi
\ifGm@compatii
\ifx\Gm@twosideshift\@undefined
\def\Gm@twosideshift{20\Gm@truedimen pt}%
\fi
\addtolength\oddsidemargin{\Gm@twosideshift}%
\addtolength\evensidemargin{-\Gm@twosideshift}%
\fi
\else
\evensidemargin\oddsidemargin
\fi
\advance\oddsidemargin\Gm@bindingoffset
\addtolength\topmargin{-1\Gm@truedimen in}%
\ifGm@includehead
\addtolength\textheight{-\headheight}%
\addtolength\textheight{-\headsep}%
\else
\addtolength\topmargin{-\headheight}%
\addtolength\topmargin{-\headsep}%
\fi
\ifGm@includefoot
\addtolength\textheight{-\footskip}%
\fi
\ifGm@heightrounded
\setlength\@tempdima{\textheight}%
\addtolength\@tempdima{-\topskip}%
\@tempcnta\@tempdima
\@tempcntb\baselineskip
\divide\@tempcnta\@tempcntb
\setlength\@tempdimb{\baselineskip}%
\multiply\@tempdimb\@tempcnta
\advance\@tempdima-\@tempdimb
\multiply\@tempdima\tw@
\ifdim\@tempdima>\baselineskip
\addtolength\@tempdimb{\baselineskip}%
\fi
\addtolength\@tempdimb{\topskip}%
\textheight\@tempdimb
\fi
\addtolength\paperwidth{\Gm@bindingoffset}%
\fi}%
\@onlypreamble\Gm@process
\def\Gm@showparams{%
-------------------- Geometry parameters^^J%
\ifGm@pass
'pass' is specified!! (disables the geometry layouter)^^J%
\else
paper: \ifx\Gm@paper\@undefined class default\else\Gm@paper\fi^^J%
\Gm@checkbool{landscape}%
twocolumn: \if@twocolumn\Gm@true\else--\fi^^J%
twoside: \if@twoside\Gm@true\else--\fi^^J%
asymmetric: \if@mparswitch --\else\if@twoside\Gm@true\else --\fi\fi^^J%
h-parts: \Gm@lmargin, \Gm@width, \Gm@rmargin%
\ifnum\Gm@cnth=\z@\space(default)\fi^^J%
v-parts: \Gm@tmargin, \Gm@height, \Gm@bmargin%
\ifnum\Gm@cntv=\z@\space(default)\fi^^J%
hmarginratio: \ifnum\Gm@cnth<5 \ifnum\Gm@cnth=3--\else%
\Gm@hmarginratio\fi\else--\fi^^J%
vmarginratio: \ifnum\Gm@cntv<5 \ifnum\Gm@cntv=3--\else%
\Gm@vmarginratio\fi\else--\fi^^J%
lines: \@ifundefined{Gm@lines}{--}{\Gm@lines}^^J%
\Gm@checkbool{heightrounded}%
bindingoffset: \the\Gm@bindingoffset^^J%
truedimen: \ifx\Gm@truedimen\@empty --\else\Gm@true\fi^^J%
\Gm@checkbool{includehead}%
\Gm@checkbool{includefoot}%
\Gm@checkbool{includemp}%
driver: \Gm@driver^^J%
\fi
-------------------- Page layout dimensions and switches^^J%
\string\paperwidth\space\space\the\paperwidth^^J%
\string\paperheight\space\the\paperheight^^J%
\string\textwidth\space\space\the\textwidth^^J%
\string\textheight\space\the\textheight^^J%
\string\oddsidemargin\space\space\the\oddsidemargin^^J%
\string\evensidemargin\space\the\evensidemargin^^J%
\string\topmargin\space\space\the\topmargin^^J%
\string\headheight\space\the\headheight^^J%
\string\headsep\@spaces\the\headsep^^J%
\string\footskip\space\space\space\the\footskip^^J%
\string\marginparwidth\space\the\marginparwidth^^J%
\string\marginparsep\space\space\space\the\marginparsep^^J%
\string\columnsep\space\space\the\columnsep^^J%
\string\skip\string\footins\space\space\the\skip\footins^^J%
\string\hoffset\space\the\hoffset^^J%
\string\voffset\space\the\voffset^^J%
\string\mag\space\the\mag^^J%
\if@twocolumn\string\@twocolumntrue\space\fi%
\if@twoside\string\@twosidetrue\space\fi%
\if@mparswitch\string\@mparswitchtrue\space\fi%
\if@reversemargin\string\@reversemargintrue\space\fi^^J%
(1in=72.27pt, 1cm=28.45pt)^^J%
-----------------------}%
\@onlypreamble\Gm@showparams
\def\ProcessOptionsKV{\@ifnextchar[%]
{\@ProcessOptionsKV}{\@ProcessOptionsKV[]}}%
\def\@ProcessOptionsKV[#1]#2{%
\let\@tempa\@empty
\@tempcnta\z@
\if#1p\@tempcnta\@ne\else\if#1c\@tempcnta\tw@\fi\fi
\ifodd\@tempcnta
\edef\@tempa{\@ptionlist{\@currname.\@currext}}%
\else
\@for\CurrentOption:=\@classoptionslist\do{%
\@ifundefined{KV@#2@\CurrentOption}%
{}{\edef\@tempa{\@tempa,\CurrentOption,}}}%
\ifnum\@tempcnta=\z@
\edef\@tempa{\@tempa,\@ptionlist{\@currname.\@currext}}%
\fi
\fi
\edef\@tempa{\noexpand\setkeys{#2}{\@tempa}}%
\@tempa
\AtEndOfPackage{\let\@unprocessedoptions\relax}}%
\@onlypreamble\ProcessOptionsKV
\@onlypreamble\@ProcessOptionsKV
\Gm@init
\ProcessOptionsKV[c]{Gm}%
\Gm@setdefaultpaper
\def\Gm@setkeys{\setkeys{Gm}}%
\@onlypreamble\Gm@setkeys
\let\Gm@origExecuteOptions\ExecuteOptions
\let\ExecuteOptions\Gm@setkeys
\InputIfFileExists{geometry.cfg}{}{}%
\let\ExecuteOptions\Gm@origExecuteOptions
\ProcessOptionsKV[p]{Gm}%
\Gm@process
\AtBeginDocument{%
\edef\Gm@orgw{\the\paperwidth}%
\edef\Gm@orgh{\the\paperheight}%
\ifGm@pass\else
\ifnum\mag=\@m\else
\Gm@magtooffset
\divide\paperwidth\@m
\multiply\paperwidth\the\mag
\divide\paperheight\@m
\multiply\paperheight\the\mag
\fi
\fi
\Gm@checkdrivers
\ifx\Gm@driver\Gm@pdftex
\ifx\pdfpagewidth\@undefined
\Gm@warning{`pdftex' option is invalid in this environment}%
\else
\setlength\pdfpagewidth{\Gm@orgw}%
\setlength\pdfpageheight{\Gm@orgh}%
\ifnum\mag=\@m\else\ifx\Gm@truedimen\Gm@true
\setlength\paperwidth{\Gm@orgw}%
\setlength\paperheight{\Gm@orgh}%
\fi\fi
\fi
\fi
\ifx\Gm@driver\Gm@vtex
\ifx\VTeXversion\@undefined
\Gm@warning{`vtex' option is invalid in this environment}%
\else
\mediawidth=\paperwidth
\mediaheight=\paperheight
\fi
\fi
\ifGm@special
\AtBeginDvi{\special{papersize=\the\paperwidth,\the\paperheight}}%
\ifx\Gm@driver\Gm@dvips\ifGm@landscape
\AtBeginDvi{\special{! /landplus90 true store}}%
\fi\fi
\fi
\ifGm@showframe
\AtBeginDvi{%
\moveright\@themargin%
\vbox to\z@{\baselineskip\z@skip\lineskip\z@skip\lineskiplimit\z@%
\vskip\topmargin\vbox to\z@{\vss\hrule width\textwidth}%
\vskip\headheight\vbox to\z@{\vss\hrule width\textwidth}%
\vskip\headsep\vbox to\z@{\vss\hrule width\textwidth}%
\hbox to\textwidth{\llap{\vrule height\textheight}\hfil%
\vrule height\textheight}%
\vbox to\z@{\vss\hrule width\textwidth}%
\vskip\footskip\vbox to\z@{\vss\hrule width\textwidth}%
\vss}}%
\AtBeginDvi{%
\vbox to\z@{\baselineskip\z@skip\lineskip\z@skip\lineskiplimit\z@%
\vskip-1\Gm@truedimen in\rlap{\hskip-1\Gm@truedimen in%
\vbox to\z@{\vbox to\z@{\vss\hrule width\paperwidth}%
\hbox to \paperwidth{\llap{\vrule height\paperheight}\hfil%
\vrule height\paperheight}%
\vbox to\z@{\vss\hrule width\paperwidth}%
\vss}}\vss}}%
\fi
\ifGm@verbose\ifGm@pass\else\Gm@checkmp\fi\fi
\ifGm@verbose\expandafter\typeout\else\expandafter\wlog\fi
{\Gm@showparams}%
\let\Gm@cnth\relax
\let\Gm@cntv\relax
\let\c@Gm@tempcnt\relax
\let\Gm@bindingoffset\relax
\let\Gm@wd@mp\relax
\let\Gm@odd@mp\relax
\let\Gm@even@mp\relax
\let\Gm@orgw\relax
\let\Gm@orgh\relax
\let\Gm@dimlist\relax}%
\def\geometry#1{%
\Gm@clean
\setkeys{Gm}{#1}%
\Gm@process}%
\@onlypreamble\geometry
\endinput
%%
%% End of file `geometry.sty'.
%%%%%% End /macros/LaTeX/contrib/supported/geometry/geometry.sty %%%%%%
%%%%%%%%%%%%%% Start /macros/LaTeX/SWmacros/tcilatex.tex %%%%%%%%%%%%%%
% Macros for Scientific Word 4.0 documents saved with the LaTeX filter.
% Copyright (C) 2002 Mackichan Software, Inc.
\typeout{TCILATEX Macros for Scientific Word 5.0 <13 Feb 2003>.}
\typeout{NOTICE: This macro file is NOT proprietary and may be
freely copied and distributed.}
%
\makeatletter
%%%%%%%%%%%%%%%%%%%%%
% pdfTeX related.
\ifx\pdfoutput\relax\let\pdfoutput=\undefined\fi
\newcount\msipdfoutput
\ifx\pdfoutput\undefined
\else
\ifcase\pdfoutput
\else
\msipdfoutput=1
\ifx\paperwidth\undefined
\else
\ifdim\paperheight=0pt\relax
\else
\pdfpageheight\paperheight
\fi
\ifdim\paperwidth=0pt\relax
\else
\pdfpagewidth\paperwidth
\fi
\fi
\fi
\fi
%%%%%%%%%%%%%%%%%%%%%
% FMTeXButton
% This is used for putting TeXButtons in the
% frontmatter of a document. Add a line like
% \QTagDef{FMTeXButton}{101}{} to the filter
% section of the cst being used. Also add a
% new section containing:
% [f_101]
% ALIAS=FMTexButton
% TAG_TYPE=FIELD
% TAG_LEADIN=TeX Button:
%
% It also works to put \defs in the preamble after
% the \input tcilatex
\def\FMTeXButton#1{#1}
%
%%%%%%%%%%%%%%%%%%%%%%
% macros for time
\newcount\@hour\newcount\@minute\chardef\@x10\chardef\@xv60
\def\tcitime{
\def\@time{%
\@minute\time\@hour\@minute\divide\@hour\@xv
\ifnum\@hour<\@x 0\fi\the\@hour:%
\multiply\@hour\@xv\advance\@minute-\@hour
\ifnum\@minute<\@x 0\fi\the\@minute
}}%
%%%%%%%%%%%%%%%%%%%%%%
% macro for hyperref and msihyperref
%\@ifundefined{hyperref}{\def\hyperref#1#2#3#4{#2\ref{#4}#3}}{}
\def\x@hyperref#1#2#3{%
% Turn off various catcodes before reading parameter 4
\catcode`\~ = 12
\catcode`\$ = 12
\catcode`\_ = 12
\catcode`\# = 12
\catcode`\& = 12
\y@hyperref{#1}{#2}{#3}%
}
\def\y@hyperref#1#2#3#4{%
#2\ref{#4}#3
\catcode`\~ = 13
\catcode`\$ = 3
\catcode`\_ = 8
\catcode`\# = 6
\catcode`\& = 4
}
\@ifundefined{hyperref}{\let\hyperref\x@hyperref}{}
\@ifundefined{msihyperref}{\let\msihyperref\x@hyperref}{}
% macro for external program call
\@ifundefined{qExtProgCall}{\def\qExtProgCall#1#2#3#4#5#6{\relax}}{}
%%%%%%%%%%%%%%%%%%%%%%
%
% macros for graphics
%
\def\FILENAME#1{#1}%
%
\def\QCTOpt[#1]#2{%
\def\QCTOptB{#1}
\def\QCTOptA{#2}
}
\def\QCTNOpt#1{%
\def\QCTOptA{#1}
\let\QCTOptB\empty
}
\def\Qct{%
\@ifnextchar[{%
\QCTOpt}{\QCTNOpt}
}
\def\QCBOpt[#1]#2{%
\def\QCBOptB{#1}%
\def\QCBOptA{#2}%
}
\def\QCBNOpt#1{%
\def\QCBOptA{#1}%
\let\QCBOptB\empty
}
\def\Qcb{%
\@ifnextchar[{%
\QCBOpt}{\QCBNOpt}%
}
\def\PrepCapArgs{%
\ifx\QCBOptA\empty
\ifx\QCTOptA\empty
{}%
\else
\ifx\QCTOptB\empty
{\QCTOptA}%
\else
[\QCTOptB]{\QCTOptA}%
\fi
\fi
\else
\ifx\QCBOptA\empty
{}%
\else
\ifx\QCBOptB\empty
{\QCBOptA}%
\else
[\QCBOptB]{\QCBOptA}%
\fi
\fi
\fi
}
\newcount\GRAPHICSTYPE
%\GRAPHICSTYPE 0 is for TurboTeX
%\GRAPHICSTYPE 1 is for DVIWindo (PostScript)
%%%(removed)%\GRAPHICSTYPE 2 is for psfig (PostScript)
\GRAPHICSTYPE=\z@
\def\GRAPHICSPS#1{%
\ifcase\GRAPHICSTYPE%\GRAPHICSTYPE=0
\special{ps: #1}%
\or%\GRAPHICSTYPE=1
\special{language "PS", include "#1"}%
%%%\or%\GRAPHICSTYPE=2
%%% #1%
\fi
}%
%
\def\GRAPHICSHP#1{\special{include #1}}%
%
% \graffile{ body } %#1
% { contentswidth (scalar) } %#2
% { contentsheight (scalar) } %#3
% { vertical shift when in-line (scalar) } %#4
\def\graffile#1#2#3#4{%
%%% \ifnum\GRAPHICSTYPE=\tw@
%%% %Following if using psfig
%%% \@ifundefined{psfig}{\input psfig.tex}{}%
%%% \psfig{file=#1, height=#3, width=#2}%
%%% \else
%Following for all others
% JCS - added BOXTHEFRAME, see below
\bgroup
\@inlabelfalse
\leavevmode
\@ifundefined{bbl@deactivate}{\def~{\string~}}{\activesoff}%
\raise -#4 \BOXTHEFRAME{%
\hbox to #2{\raise #3\hbox to #2{\null #1\hfil}}}%
\egroup
}%
%
% A box for drafts
\def\draftbox#1#2#3#4{%
\leavevmode\raise -#4 \hbox{%
\frame{\rlap{\protect\tiny #1}\hbox to #2%
{\vrule height#3 width\z@ depth\z@\hfil}%
}%
}%
}%
%
\newcount\@msidraft
\@msidraft=\z@
\let\nographics=\@msidraft
\newif\ifwasdraft
\wasdraftfalse
% \GRAPHIC{ body } %#1
% { draft name } %#2
% { contentswidth (scalar) } %#3
% { contentsheight (scalar) } %#4
% { vertical shift when in-line (scalar) } %#5
\def\GRAPHIC#1#2#3#4#5{%
\ifnum\@msidraft=\@ne\draftbox{#2}{#3}{#4}{#5}%
\else\graffile{#1}{#3}{#4}{#5}%
\fi
}
%
\def\addtoLaTeXparams#1{%
\edef\LaTeXparams{\LaTeXparams #1}}%
%
% JCS - added a switch BoxFrame that can
% be set by including X in the frame params.
% If set a box is drawn around the frame.
\newif\ifBoxFrame \BoxFramefalse
\newif\ifOverFrame \OverFramefalse
\newif\ifUnderFrame \UnderFramefalse
\def\BOXTHEFRAME#1{%
\hbox{%
\ifBoxFrame
\frame{#1}%
\else
{#1}%
\fi
}%
}
\def\doFRAMEparams#1{\BoxFramefalse\OverFramefalse\UnderFramefalse\readFRAMEparams#1\end}%
\def\readFRAMEparams#1{%
\ifx#1\end%
\let\next=\relax
\else
\ifx#1i\dispkind=\z@\fi
\ifx#1d\dispkind=\@ne\fi
\ifx#1f\dispkind=\tw@\fi
\ifx#1t\addtoLaTeXparams{t}\fi
\ifx#1b\addtoLaTeXparams{b}\fi
\ifx#1p\addtoLaTeXparams{p}\fi
\ifx#1h\addtoLaTeXparams{h}\fi
\ifx#1X\BoxFrametrue\fi
\ifx#1O\OverFrametrue\fi
\ifx#1U\UnderFrametrue\fi
\ifx#1w
\ifnum\@msidraft=1\wasdrafttrue\else\wasdraftfalse\fi
\@msidraft=\@ne
\fi
\let\next=\readFRAMEparams
\fi
\next
}%
%
%Macro for In-line graphics object
% \IFRAME{ contentswidth (scalar) } %#1
% { contentsheight (scalar) } %#2
% { vertical shift when in-line (scalar) } %#3
% { draft name } %#4
% { body } %#5
% { caption} %#6
\def\IFRAME#1#2#3#4#5#6{%
\bgroup
\let\QCTOptA\empty
\let\QCTOptB\empty
\let\QCBOptA\empty
\let\QCBOptB\empty
#6%
\parindent=0pt
\leftskip=0pt
\rightskip=0pt
\setbox0=\hbox{\QCBOptA}%
\@tempdima=#1\relax
\ifOverFrame
% Do this later
\typeout{This is not implemented yet}%
\show\HELP
\else
\ifdim\wd0>\@tempdima
\advance\@tempdima by \@tempdima
\ifdim\wd0 >\@tempdima
\setbox1 =\vbox{%
\unskip\hbox to \@tempdima{\hfill\GRAPHIC{#5}{#4}{#1}{#2}{#3}\hfill}%
\unskip\hbox to \@tempdima{\parbox[b]{\@tempdima}{\QCBOptA}}%
}%
\wd1=\@tempdima
\else
\textwidth=\wd0
\setbox1 =\vbox{%
\noindent\hbox to \wd0{\hfill\GRAPHIC{#5}{#4}{#1}{#2}{#3}\hfill}\\%
\noindent\hbox{\QCBOptA}%
}%
\wd1=\wd0
\fi
\else
\ifdim\wd0>0pt
\hsize=\@tempdima
\setbox1=\vbox{%
\unskip\GRAPHIC{#5}{#4}{#1}{#2}{0pt}%
\break
\unskip\hbox to \@tempdima{\hfill \QCBOptA\hfill}%
}%
\wd1=\@tempdima
\else
\hsize=\@tempdima
\setbox1=\vbox{%
\unskip\GRAPHIC{#5}{#4}{#1}{#2}{0pt}%
}%
\wd1=\@tempdima
\fi
\fi
\@tempdimb=\ht1
%\advance\@tempdimb by \dp1
\advance\@tempdimb by -#2
\advance\@tempdimb by #3
\leavevmode
\raise -\@tempdimb \hbox{\box1}%
\fi
\egroup%
}%
%
%Macro for Display graphics object
% \DFRAME{ contentswidth (scalar) } %#1
% { contentsheight (scalar) } %#2
% { draft label } %#3
% { name } %#4
% { caption} %#5
\def\DFRAME#1#2#3#4#5{%
\vspace\topsep
\hfil\break
\bgroup
\leftskip\@flushglue
\rightskip\@flushglue
\parindent\z@
\parfillskip\z@skip
\let\QCTOptA\empty
\let\QCTOptB\empty
\let\QCBOptA\empty
\let\QCBOptB\empty
\vbox\bgroup
\ifOverFrame
#5\QCTOptA\par
\fi
\GRAPHIC{#4}{#3}{#1}{#2}{\z@}%
\ifUnderFrame
\break#5\QCBOptA
\fi
\egroup
\egroup
\vspace\topsep
\break
}%
%
%Macro for Floating graphic object
% \FFRAME{ framedata f|i tbph x F|T } %#1
% { contentswidth (scalar) } %#2
% { contentsheight (scalar) } %#3
% { caption } %#4
% { label } %#5
% { draft name } %#6
% { body } %#7
\def\FFRAME#1#2#3#4#5#6#7{%
%If float.sty loaded and float option is 'h', change to 'H' (gp) 1998/09/05
\@ifundefined{floatstyle}
{%floatstyle undefined (and float.sty not present), no change
\begin{figure}[#1]%
}
{%floatstyle DEFINED
\ifx#1h%Only the h parameter, change to H
\begin{figure}[H]%
\else
\begin{figure}[#1]%
\fi
}
\let\QCTOptA\empty
\let\QCTOptB\empty
\let\QCBOptA\empty
\let\QCBOptB\empty
\ifOverFrame
#4
\ifx\QCTOptA\empty
\else
\ifx\QCTOptB\empty
\caption{\QCTOptA}%
\else
\caption[\QCTOptB]{\QCTOptA}%
\fi
\fi
\ifUnderFrame\else
\label{#5}%
\fi
\else
\UnderFrametrue%
\fi
\begin{center}\GRAPHIC{#7}{#6}{#2}{#3}{\z@}\end{center}%
\ifUnderFrame
#4
\ifx\QCBOptA\empty
\caption{}%
\else
\ifx\QCBOptB\empty
\caption{\QCBOptA}%
\else
\caption[\QCBOptB]{\QCBOptA}%
\fi
\fi
\label{#5}%
\fi
\end{figure}%
}%
%
%
% \FRAME{ framedata f|i tbph x F|T } %#1
% { contentswidth (scalar) } %#2
% { contentsheight (scalar) } %#3
% { vertical shift when in-line (scalar) } %#4
% { caption } %#5
% { label } %#6
% { name } %#7
% { body } %#8
%
% framedata is a string which can contain the following
% characters: idftbphxFT
% Their meaning is as follows:
% i, d or f : in-line, display, or floating
% t,b,p,h : LaTeX floating placement options
% x : fit contents box to contents
% F or T : Figure or Table.
% Later this can expand
% to a more general float class.
%
%
\newcount\dispkind%
\def\makeactives{
\catcode`\"=\active
\catcode`\;=\active
\catcode`\:=\active
\catcode`\'=\active
\catcode`\~=\active
}
\bgroup
\makeactives
\gdef\activesoff{%
\def"{\string"}%
\def;{\string;}%
\def:{\string:}%
\def'{\string'}%
\def~{\string~}%
%\bbl@deactivate{"}%
%\bbl@deactivate{;}%
%\bbl@deactivate{:}%
%\bbl@deactivate{'}%
}
\egroup
\def\FRAME#1#2#3#4#5#6#7#8{%
\bgroup
\ifnum\@msidraft=\@ne
\wasdrafttrue
\else
\wasdraftfalse%
\fi
\def\LaTeXparams{}%
\dispkind=\z@
\def\LaTeXparams{}%
\doFRAMEparams{#1}%
\ifnum\dispkind=\z@\IFRAME{#2}{#3}{#4}{#7}{#8}{#5}\else
\ifnum\dispkind=\@ne\DFRAME{#2}{#3}{#7}{#8}{#5}\else
\ifnum\dispkind=\tw@
\edef\@tempa{\noexpand\FFRAME{\LaTeXparams}}%
\@tempa{#2}{#3}{#5}{#6}{#7}{#8}%
\fi
\fi
\fi
\ifwasdraft\@msidraft=1\else\@msidraft=0\fi{}%
\egroup
}%
%
% This macro added to let SW gobble a parameter that
% should not be passed on and expanded.
\def\TEXUX#1{"texux"}
%
% Macros for text attributes:
%
\def\BF#1{{\bf {#1}}}%
\def\NEG#1{\leavevmode\hbox{\rlap{\thinspace/}{$#1$}}}%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
% macros for user - defined functions
\def\limfunc#1{\mathop{\rm #1}}%
\def\func#1{\mathop{\rm #1}\nolimits}%
% macro for unit names
\def\unit#1{\mathord{\thinspace\rm #1}}%
%
% miscellaneous
\long\def\QQQ#1#2{%
\long\expandafter\def\csname#1\endcsname{#2}}%
\@ifundefined{QTP}{\def\QTP#1{}}{}
\@ifundefined{QEXCLUDE}{\def\QEXCLUDE#1{}}{}
\@ifundefined{Qlb}{\def\Qlb#1{#1}}{}
\@ifundefined{Qlt}{\def\Qlt#1{#1}}{}
\def\QWE{}%
\long\def\QQA#1#2{}%
\def\QTR#1#2{{\csname#1\endcsname {#2}}}%
\long\def\TeXButton#1#2{#2}%
\long\def\QSubDoc#1#2{#2}%
\def\EXPAND#1[#2]#3{}%
\def\NOEXPAND#1[#2]#3{}%
\def\PROTECTED{}%
\def\LaTeXparent#1{}%
\def\ChildStyles#1{}%
\def\ChildDefaults#1{}%
\def\QTagDef#1#2#3{}%
% Constructs added with Scientific Notebook
\@ifundefined{correctchoice}{\def\correctchoice{\relax}}{}
\@ifundefined{HTML}{\def\HTML#1{\relax}}{}
\@ifundefined{TCIIcon}{\def\TCIIcon#1#2#3#4{\relax}}{}
\if@compatibility
\typeout{Not defining UNICODE U or CustomNote commands for LaTeX 2.09.}
\else
\providecommand{\UNICODE}[2][]{\protect\rule{.1in}{.1in}}
\providecommand{\U}[1]{\protect\rule{.1in}{.1in}}
\providecommand{\CustomNote}[3][]{\marginpar{#3}}
\fi
\@ifundefined{lambdabar}{
\def\lambdabar{\errmessage{You have used the lambdabar symbol.
This is available for typesetting only in RevTeX styles.}}
}{}
%
% Macros for style editor docs
\@ifundefined{StyleEditBeginDoc}{\def\StyleEditBeginDoc{\relax}}{}
%
% Macros for footnotes
\def\QQfnmark#1{\footnotemark}
\def\QQfntext#1#2{\addtocounter{footnote}{#1}\footnotetext{#2}}
%
% Macros for indexing.
%
\@ifundefined{TCIMAKEINDEX}{}{\makeindex}%
%
% Attempts to avoid problems with other styles
\@ifundefined{abstract}{%
\def\abstract{%
\if@twocolumn
\section*{Abstract (Not appropriate in this style!)}%
\else \small
\begin{center}{\bf Abstract\vspace{-.5em}\vspace{\z@}}\end{center}%
\quotation
\fi
}%
}{%
}%
\@ifundefined{endabstract}{\def\endabstract
{\if@twocolumn\else\endquotation\fi}}{}%
\@ifundefined{maketitle}{\def\maketitle#1{}}{}%
\@ifundefined{affiliation}{\def\affiliation#1{}}{}%
\@ifundefined{proof}{\def\proof{\noindent{\bfseries Proof. }}}{}%
\@ifundefined{endproof}{\def\endproof{\mbox{\ \rule{.1in}{.1in}}}}{}%
\@ifundefined{newfield}{\def\newfield#1#2{}}{}%
\@ifundefined{chapter}{\def\chapter#1{\par(Chapter head:)#1\par }%
\newcount\c@chapter}{}%
\@ifundefined{part}{\def\part#1{\par(Part head:)#1\par }}{}%
\@ifundefined{section}{\def\section#1{\par(Section head:)#1\par }}{}%
\@ifundefined{subsection}{\def\subsection#1%
{\par(Subsection head:)#1\par }}{}%
\@ifundefined{subsubsection}{\def\subsubsection#1%
{\par(Subsubsection head:)#1\par }}{}%
\@ifundefined{paragraph}{\def\paragraph#1%
{\par(Subsubsubsection head:)#1\par }}{}%
\@ifundefined{subparagraph}{\def\subparagraph#1%
{\par(Subsubsubsubsection head:)#1\par }}{}%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% These symbols are not recognized by LaTeX
\@ifundefined{therefore}{\def\therefore{}}{}%
\@ifundefined{backepsilon}{\def\backepsilon{}}{}%
\@ifundefined{yen}{\def\yen{\hbox{\rm\rlap=Y}}}{}%
\@ifundefined{registered}{%
\def\registered{\relax\ifmmode{}\r@gistered
\else$\m@th\r@gistered$\fi}%
\def\r@gistered{^{\ooalign
{\hfil\raise.07ex\hbox{$\scriptstyle\rm\text{R}$}\hfil\crcr
\mathhexbox20D}}}}{}%
\@ifundefined{Eth}{\def\Eth{}}{}%
\@ifundefined{eth}{\def\eth{}}{}%
\@ifundefined{Thorn}{\def\Thorn{}}{}%
\@ifundefined{thorn}{\def\thorn{}}{}%
% A macro to allow any symbol that requires math to appear in text
\def\TEXTsymbol#1{\mbox{$#1$}}%
\@ifundefined{degree}{\def\degree{{}^{\circ}}}{}%
%
% macros for T3TeX files
\newdimen\theight
\@ifundefined{Column}{\def\Column{%
\vadjust{\setbox\z@=\hbox{\scriptsize\quad\quad tcol}%
\theight=\ht\z@\advance\theight by \dp\z@\advance\theight by \lineskip
\kern -\theight \vbox to \theight{%
\rightline{\rlap{\box\z@}}%
\vss
}%
}%
}}{}%
%
\@ifundefined{qed}{\def\qed{%
\ifhmode\unskip\nobreak\fi\ifmmode\ifinner\else\hskip5\p@\fi\fi
\hbox{\hskip5\p@\vrule width4\p@ height6\p@ depth1.5\p@\hskip\p@}%
}}{}%
%
\@ifundefined{cents}{\def\cents{\hbox{\rm\rlap c/}}}{}%
\@ifundefined{tciLaplace}{\def\tciLaplace{\ensuremath{\mathcal{L}}}}{}%
\@ifundefined{tciFourier}{\def\tciFourier{\ensuremath{\mathcal{F}}}}{}%
\@ifundefined{textcurrency}{\def\textcurrency{\hbox{\rm\rlap xo}}}{}%
\@ifundefined{texteuro}{\def\texteuro{\hbox{\rm\rlap C=}}}{}%
\@ifundefined{euro}{\def\euro{\hbox{\rm\rlap C=}}}{}%
\@ifundefined{textfranc}{\def\textfranc{\hbox{\rm\rlap-F}}}{}%
\@ifundefined{textlira}{\def\textlira{\hbox{\rm\rlap L=}}}{}%
\@ifundefined{textpeseta}{\def\textpeseta{\hbox{\rm P\negthinspace s}}}{}%
%
\@ifundefined{miss}{\def\miss{\hbox{\vrule height2\p@ width 2\p@ depth\z@}}}{}%
%
\@ifundefined{vvert}{\def\vvert{\Vert}}{}% %always translated to \left| or \right|
%
\@ifundefined{tcol}{\def\tcol#1{{\baselineskip=6\p@ \vcenter{#1}} \Column}}{}%
%
\@ifundefined{dB}{\def\dB{\hbox{{}}}}{}% %dummy entry in column
\@ifundefined{mB}{\def\mB#1{\hbox{$#1$}}}{}% %column entry
\@ifundefined{nB}{\def\nB#1{\hbox{#1}}}{}% %column entry (not math)
%
\@ifundefined{note}{\def\note{$^{\dag}}}{}%
%
\def\newfmtname{LaTeX2e}
% No longer load latexsym. This is now handled by SWP, which uses amsfonts if necessary
%
\ifx\fmtname\newfmtname
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
\fi
%
% Greek bold macros
% Redefine all of the math symbols
% which might be bolded - there are
% probably others to add to this list
\def\alpha{{\Greekmath 010B}}%
\def\beta{{\Greekmath 010C}}%
\def\gamma{{\Greekmath 010D}}%
\def\delta{{\Greekmath 010E}}%
\def\epsilon{{\Greekmath 010F}}%
\def\zeta{{\Greekmath 0110}}%
\def\eta{{\Greekmath 0111}}%
\def\theta{{\Greekmath 0112}}%
\def\iota{{\Greekmath 0113}}%
\def\kappa{{\Greekmath 0114}}%
\def\lambda{{\Greekmath 0115}}%
\def\mu{{\Greekmath 0116}}%
\def\nu{{\Greekmath 0117}}%
\def\xi{{\Greekmath 0118}}%
\def\pi{{\Greekmath 0119}}%
\def\rho{{\Greekmath 011A}}%
\def\sigma{{\Greekmath 011B}}%
\def\tau{{\Greekmath 011C}}%
\def\upsilon{{\Greekmath 011D}}%
\def\phi{{\Greekmath 011E}}%
\def\chi{{\Greekmath 011F}}%
\def\psi{{\Greekmath 0120}}%
\def\omega{{\Greekmath 0121}}%
\def\varepsilon{{\Greekmath 0122}}%
\def\vartheta{{\Greekmath 0123}}%
\def\varpi{{\Greekmath 0124}}%
\def\varrho{{\Greekmath 0125}}%
\def\varsigma{{\Greekmath 0126}}%
\def\varphi{{\Greekmath 0127}}%
\def\nabla{{\Greekmath 0272}}
\def\FindBoldGroup{%
{\setbox0=\hbox{$\mathbf{x\global\edef\theboldgroup{\the\mathgroup}}$}}%
}
\def\Greekmath#1#2#3#4{%
\if@compatibility
\ifnum\mathgroup=\symbold
\mathchoice{\mbox{\boldmath$\displaystyle\mathchar"#1#2#3#4$}}%
{\mbox{\boldmath$\textstyle\mathchar"#1#2#3#4$}}%
{\mbox{\boldmath$\scriptstyle\mathchar"#1#2#3#4$}}%
{\mbox{\boldmath$\scriptscriptstyle\mathchar"#1#2#3#4$}}%
\else
\mathchar"#1#2#3#4%
\fi
\else
\FindBoldGroup
\ifnum\mathgroup=\theboldgroup % For 2e
\mathchoice{\mbox{\boldmath$\displaystyle\mathchar"#1#2#3#4$}}%
{\mbox{\boldmath$\textstyle\mathchar"#1#2#3#4$}}%
{\mbox{\boldmath$\scriptstyle\mathchar"#1#2#3#4$}}%
{\mbox{\boldmath$\scriptscriptstyle\mathchar"#1#2#3#4$}}%
\else
\mathchar"#1#2#3#4%
\fi
\fi}
\newif\ifGreekBold \GreekBoldfalse
\let\SAVEPBF=\pbf
\def\pbf{\GreekBoldtrue\SAVEPBF}%
%
\@ifundefined{theorem}{\newtheorem{theorem}{Theorem}}{}
\@ifundefined{lemma}{\newtheorem{lemma}[theorem]{Lemma}}{}
\@ifundefined{corollary}{\newtheorem{corollary}[theorem]{Corollary}}{}
\@ifundefined{conjecture}{\newtheorem{conjecture}[theorem]{Conjecture}}{}
\@ifundefined{proposition}{\newtheorem{proposition}[theorem]{Proposition}}{}
\@ifundefined{axiom}{\newtheorem{axiom}{Axiom}}{}
\@ifundefined{remark}{\newtheorem{remark}{Remark}}{}
\@ifundefined{example}{\newtheorem{example}{Example}}{}
\@ifundefined{exercise}{\newtheorem{exercise}{Exercise}}{}
\@ifundefined{definition}{\newtheorem{definition}{Definition}}{}
\@ifundefined{mathletters}{%
%\def\theequation{\arabic{equation}}
\newcounter{equationnumber}
\def\mathletters{%
\addtocounter{equation}{1}
\edef\@currentlabel{\theequation}%
\setcounter{equationnumber}{\c@equation}
\setcounter{equation}{0}%
\edef\theequation{\@currentlabel\noexpand\alph{equation}}%
}
\def\endmathletters{%
\setcounter{equation}{\value{equationnumber}}%
}
}{}
%Logos
\@ifundefined{BibTeX}{%
\def\BibTeX{{\rm B\kern-.05em{\sc i\kern-.025em b}\kern-.08em
T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}}}{}%
\@ifundefined{AmS}%
{\def\AmS{{\protect\usefont{OMS}{cmsy}{m}{n}%
A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}}}{}%
\@ifundefined{AmSTeX}{\def\AmSTeX{\protect\AmS-\protect\TeX\@}}{}%
%
% This macro is a fix to eqnarray
\def\@@eqncr{\let\@tempa\relax
\ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
\else \def\@tempa{&}\fi
\@tempa
\if@eqnsw
\iftag@
\@taggnum
\else
\@eqnnum\stepcounter{equation}%
\fi
\fi
\global\tag@false
\global\@eqnswtrue
\global\@eqcnt\z@\cr}
\def\TCItag{\@ifnextchar*{\@TCItagstar}{\@TCItag}}
\def\@TCItag#1{%
\global\tag@true
\global\def\@taggnum{(#1)}%
\global\def\@currentlabel{#1}}
\def\@TCItagstar*#1{%
\global\tag@true
\global\def\@taggnum{#1}%
\global\def\@currentlabel{#1}}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\def\QATOP#1#2{{#1 \atop #2}}%
\def\QTATOP#1#2{{\textstyle {#1 \atop #2}}}%
\def\QDATOP#1#2{{\displaystyle {#1 \atop #2}}}%
\def\QABOVE#1#2#3{{#2 \above#1 #3}}%
\def\QTABOVE#1#2#3{{\textstyle {#2 \above#1 #3}}}%
\def\QDABOVE#1#2#3{{\displaystyle {#2 \above#1 #3}}}%
\def\QOVERD#1#2#3#4{{#3 \overwithdelims#1#2 #4}}%
\def\QTOVERD#1#2#3#4{{\textstyle {#3 \overwithdelims#1#2 #4}}}%
\def\QDOVERD#1#2#3#4{{\displaystyle {#3 \overwithdelims#1#2 #4}}}%
\def\QATOPD#1#2#3#4{{#3 \atopwithdelims#1#2 #4}}%
\def\QTATOPD#1#2#3#4{{\textstyle {#3 \atopwithdelims#1#2 #4}}}%
\def\QDATOPD#1#2#3#4{{\displaystyle {#3 \atopwithdelims#1#2 #4}}}%
\def\QABOVED#1#2#3#4#5{{#4 \abovewithdelims#1#2#3 #5}}%
\def\QTABOVED#1#2#3#4#5{{\textstyle
{#4 \abovewithdelims#1#2#3 #5}}}%
\def\QDABOVED#1#2#3#4#5{{\displaystyle
{#4 \abovewithdelims#1#2#3 #5}}}%
%
% Macros for text size operators:
%
\def\tint{\mathop{\textstyle \int}}%
\def\tiint{\mathop{\textstyle \iint }}%
\def\tiiint{\mathop{\textstyle \iiint }}%
\def\tiiiint{\mathop{\textstyle \iiiint }}%
\def\tidotsint{\mathop{\textstyle \idotsint }}%
\def\toint{\mathop{\textstyle \oint}}%
\def\tsum{\mathop{\textstyle \sum }}%
\def\tprod{\mathop{\textstyle \prod }}%
\def\tbigcap{\mathop{\textstyle \bigcap }}%
\def\tbigwedge{\mathop{\textstyle \bigwedge }}%
\def\tbigoplus{\mathop{\textstyle \bigoplus }}%
\def\tbigodot{\mathop{\textstyle \bigodot }}%
\def\tbigsqcup{\mathop{\textstyle \bigsqcup }}%
\def\tcoprod{\mathop{\textstyle \coprod }}%
\def\tbigcup{\mathop{\textstyle \bigcup }}%
\def\tbigvee{\mathop{\textstyle \bigvee }}%
\def\tbigotimes{\mathop{\textstyle \bigotimes }}%
\def\tbiguplus{\mathop{\textstyle \biguplus }}%
%
%
%Macros for display size operators:
%
\def\dint{\mathop{\displaystyle \int}}%
\def\diint{\mathop{\displaystyle \iint}}%
\def\diiint{\mathop{\displaystyle \iiint}}%
\def\diiiint{\mathop{\displaystyle \iiiint }}%
\def\didotsint{\mathop{\displaystyle \idotsint }}%
\def\doint{\mathop{\displaystyle \oint}}%
\def\dsum{\mathop{\displaystyle \sum }}%
\def\dprod{\mathop{\displaystyle \prod }}%
\def\dbigcap{\mathop{\displaystyle \bigcap }}%
\def\dbigwedge{\mathop{\displaystyle \bigwedge }}%
\def\dbigoplus{\mathop{\displaystyle \bigoplus }}%
\def\dbigodot{\mathop{\displaystyle \bigodot }}%
\def\dbigsqcup{\mathop{\displaystyle \bigsqcup }}%
\def\dcoprod{\mathop{\displaystyle \coprod }}%
\def\dbigcup{\mathop{\displaystyle \bigcup }}%
\def\dbigvee{\mathop{\displaystyle \bigvee }}%
\def\dbigotimes{\mathop{\displaystyle \bigotimes }}%
\def\dbiguplus{\mathop{\displaystyle \biguplus }}%
\if@compatibility\else
% Always load amsmath in LaTeX2e mode
\RequirePackage{amsmath}
\fi
\def\ExitTCILatex{\makeatother\endinput}
\bgroup
\ifx\ds@amstex\relax
\message{amstex already loaded}\aftergroup\ExitTCILatex
\else
\@ifpackageloaded{amsmath}%
{\if@compatibility\message{amsmath already loaded}\fi\aftergroup\ExitTCILatex}
{}
\@ifpackageloaded{amstex}%
{\if@compatibility\message{amstex already loaded}\fi\aftergroup\ExitTCILatex}
{}
\@ifpackageloaded{amsgen}%
{\if@compatibility\message{amsgen already loaded}\fi\aftergroup\ExitTCILatex}
{}
\fi
\egroup
%Exit if any of the AMS macros are already loaded.
%This is always the case for LaTeX2e mode.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% NOTE: The rest of this file is read only if in LaTeX 2.09 compatibility
% mode. This section is used to define AMS-like constructs in the
% event they have not been defined.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\typeout{TCILATEX defining AMS-like constructs in LaTeX 2.09 COMPATIBILITY MODE}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Macros to define some AMS LaTeX constructs when
% AMS LaTeX has not been loaded
%
% These macros are copied from the AMS-TeX package for doing
% multiple integrals.
%
\let\DOTSI\relax
\def\RIfM@{\relax\ifmmode}%
\def\FN@{\futurelet\next}%
\newcount\intno@
\def\iint{\DOTSI\intno@\tw@\FN@\ints@}%
\def\iiint{\DOTSI\intno@\thr@@\FN@\ints@}%
\def\iiiint{\DOTSI\intno@4 \FN@\ints@}%
\def\idotsint{\DOTSI\intno@\z@\FN@\ints@}%
\def\ints@{\findlimits@\ints@@}%
\newif\iflimtoken@
\newif\iflimits@
\def\findlimits@{\limtoken@true\ifx\next\limits\limits@true
\else\ifx\next\nolimits\limits@false\else
\limtoken@false\ifx\ilimits@\nolimits\limits@false\else
\ifinner\limits@false\else\limits@true\fi\fi\fi\fi}%
\def\multint@{\int\ifnum\intno@=\z@\intdots@ %1
\else\intkern@\fi %2
\ifnum\intno@>\tw@\int\intkern@\fi %3
\ifnum\intno@>\thr@@\int\intkern@\fi %4
\int}% %5
\def\multintlimits@{\intop\ifnum\intno@=\z@\intdots@\else\intkern@\fi
\ifnum\intno@>\tw@\intop\intkern@\fi
\ifnum\intno@>\thr@@\intop\intkern@\fi\intop}%
\def\intic@{%
\mathchoice{\hskip.5em}{\hskip.4em}{\hskip.4em}{\hskip.4em}}%
\def\negintic@{\mathchoice
{\hskip-.5em}{\hskip-.4em}{\hskip-.4em}{\hskip-.4em}}%
\def\ints@@{\iflimtoken@ %1
\def\ints@@@{\iflimits@\negintic@
\mathop{\intic@\multintlimits@}\limits %2
\else\multint@\nolimits\fi %3
\eat@}% %4
\else %5
\def\ints@@@{\iflimits@\negintic@
\mathop{\intic@\multintlimits@}\limits\else
\multint@\nolimits\fi}\fi\ints@@@}%
\def\intkern@{\mathchoice{\!\!\!}{\!\!}{\!\!}{\!\!}}%
\def\plaincdots@{\mathinner{\cdotp\cdotp\cdotp}}%
\def\intdots@{\mathchoice{\plaincdots@}%
{{\cdotp}\mkern1.5mu{\cdotp}\mkern1.5mu{\cdotp}}%
{{\cdotp}\mkern1mu{\cdotp}\mkern1mu{\cdotp}}%
{{\cdotp}\mkern1mu{\cdotp}\mkern1mu{\cdotp}}}%
%
%
% These macros are for doing the AMS \text{} construct
%
\def\RIfM@{\relax\protect\ifmmode}
\def\text{\RIfM@\expandafter\text@\else\expandafter\mbox\fi}
\let\nfss@text\text
\def\text@#1{\mathchoice
{\textdef@\displaystyle\f@size{#1}}%
{\textdef@\textstyle\tf@size{\firstchoice@false #1}}%
{\textdef@\textstyle\sf@size{\firstchoice@false #1}}%
{\textdef@\textstyle \ssf@size{\firstchoice@false #1}}%
\glb@settings}
\def\textdef@#1#2#3{\hbox{{%
\everymath{#1}%
\let\f@size#2\selectfont
#3}}}
\newif\iffirstchoice@
\firstchoice@true
%
%These are the AMS constructs for multiline limits.
%
\def\Let@{\relax\iffalse{\fi\let\\=\cr\iffalse}\fi}%
\def\vspace@{\def\vspace##1{\crcr\noalign{\vskip##1\relax}}}%
\def\multilimits@{\bgroup\vspace@\Let@
\baselineskip\fontdimen10 \scriptfont\tw@
\advance\baselineskip\fontdimen12 \scriptfont\tw@
\lineskip\thr@@\fontdimen8 \scriptfont\thr@@
\lineskiplimit\lineskip
\vbox\bgroup\ialign\bgroup\hfil$\m@th\scriptstyle{##}$\hfil\crcr}%
\def\Sb{_\multilimits@}%
\def\endSb{\crcr\egroup\egroup\egroup}%
\def\Sp{^\multilimits@}%
\let\endSp\endSb
%
%
%These are AMS constructs for horizontal arrows
%
\newdimen\ex@
\ex@.2326ex
\def\rightarrowfill@#1{$#1\m@th\mathord-\mkern-6mu\cleaders
\hbox{$#1\mkern-2mu\mathord-\mkern-2mu$}\hfill
\mkern-6mu\mathord\rightarrow$}%
\def\leftarrowfill@#1{$#1\m@th\mathord\leftarrow\mkern-6mu\cleaders
\hbox{$#1\mkern-2mu\mathord-\mkern-2mu$}\hfill\mkern-6mu\mathord-$}%
\def\leftrightarrowfill@#1{$#1\m@th\mathord\leftarrow
\mkern-6mu\cleaders
\hbox{$#1\mkern-2mu\mathord-\mkern-2mu$}\hfill
\mkern-6mu\mathord\rightarrow$}%
\def\overrightarrow{\mathpalette\overrightarrow@}%
\def\overrightarrow@#1#2{\vbox{\ialign{##\crcr\rightarrowfill@#1\crcr
\noalign{\kern-\ex@\nointerlineskip}$\m@th\hfil#1#2\hfil$\crcr}}}%
\let\overarrow\overrightarrow
\def\overleftarrow{\mathpalette\overleftarrow@}%
\def\overleftarrow@#1#2{\vbox{\ialign{##\crcr\leftarrowfill@#1\crcr
\noalign{\kern-\ex@\nointerlineskip}$\m@th\hfil#1#2\hfil$\crcr}}}%
\def\overleftrightarrow{\mathpalette\overleftrightarrow@}%
\def\overleftrightarrow@#1#2{\vbox{\ialign{##\crcr
\leftrightarrowfill@#1\crcr
\noalign{\kern-\ex@\nointerlineskip}$\m@th\hfil#1#2\hfil$\crcr}}}%
\def\underrightarrow{\mathpalette\underrightarrow@}%
\def\underrightarrow@#1#2{\vtop{\ialign{##\crcr$\m@th\hfil#1#2\hfil
$\crcr\noalign{\nointerlineskip}\rightarrowfill@#1\crcr}}}%
\let\underarrow\underrightarrow
\def\underleftarrow{\mathpalette\underleftarrow@}%
\def\underleftarrow@#1#2{\vtop{\ialign{##\crcr$\m@th\hfil#1#2\hfil
$\crcr\noalign{\nointerlineskip}\leftarrowfill@#1\crcr}}}%
\def\underleftrightarrow{\mathpalette\underleftrightarrow@}%
\def\underleftrightarrow@#1#2{\vtop{\ialign{##\crcr$\m@th
\hfil#1#2\hfil$\crcr
\noalign{\nointerlineskip}\leftrightarrowfill@#1\crcr}}}%
%%%%%%%%%%%%%%%%%%%%%
\def\qopnamewl@#1{\mathop{\operator@font#1}\nlimits@}
\let\nlimits@\displaylimits
\def\setboxz@h{\setbox\z@\hbox}
\def\varlim@#1#2{\mathop{\vtop{\ialign{##\crcr
\hfil$#1\m@th\operator@font lim$\hfil\crcr
\noalign{\nointerlineskip}#2#1\crcr
\noalign{\nointerlineskip\kern-\ex@}\crcr}}}}
\def\rightarrowfill@#1{\m@th\setboxz@h{$#1-$}\ht\z@\z@
$#1\copy\z@\mkern-6mu\cleaders
\hbox{$#1\mkern-2mu\box\z@\mkern-2mu$}\hfill
\mkern-6mu\mathord\rightarrow$}
\def\leftarrowfill@#1{\m@th\setboxz@h{$#1-$}\ht\z@\z@
$#1\mathord\leftarrow\mkern-6mu\cleaders
\hbox{$#1\mkern-2mu\copy\z@\mkern-2mu$}\hfill
\mkern-6mu\box\z@$}
\def\projlim{\qopnamewl@{proj\,lim}}
\def\injlim{\qopnamewl@{inj\,lim}}
\def\varinjlim{\mathpalette\varlim@\rightarrowfill@}
\def\varprojlim{\mathpalette\varlim@\leftarrowfill@}
\def\varliminf{\mathpalette\varliminf@{}}
\def\varliminf@#1{\mathop{\underline{\vrule\@depth.2\ex@\@width\z@
\hbox{$#1\m@th\operator@font lim$}}}}
\def\varlimsup{\mathpalette\varlimsup@{}}
\def\varlimsup@#1{\mathop{\overline
{\hbox{$#1\m@th\operator@font lim$}}}}
%
%Companion to stackrel
\def\stackunder#1#2{\mathrel{\mathop{#2}\limits_{#1}}}%
%
%
% These are AMS environments that will be defined to
% be verbatims if amstex has not actually been
% loaded
%
%
\begingroup \catcode `|=0 \catcode `[= 1
\catcode`]=2 \catcode `\{=12 \catcode `\}=12
\catcode`\\=12
|gdef|@alignverbatim#1\end{align}[#1|end[align]]
|gdef|@salignverbatim#1\end{align*}[#1|end[align*]]
|gdef|@alignatverbatim#1\end{alignat}[#1|end[alignat]]
|gdef|@salignatverbatim#1\end{alignat*}[#1|end[alignat*]]
|gdef|@xalignatverbatim#1\end{xalignat}[#1|end[xalignat]]
|gdef|@sxalignatverbatim#1\end{xalignat*}[#1|end[xalignat*]]
|gdef|@gatherverbatim#1\end{gather}[#1|end[gather]]
|gdef|@sgatherverbatim#1\end{gather*}[#1|end[gather*]]
|gdef|@gatherverbatim#1\end{gather}[#1|end[gather]]
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%%%%%%%%%%%%%% Start /document/model1/out/cal_tb_001.tex %%%%%%%%%%%%%%
\begin{tabular}{|l|r|}
\hline
\textbf{ } & \textbf{Parameter values} \\
\hline
Households & \\
Fixed & $\sigma = 2.0$, $g(N) = 1.14$ \\
Calibrated & $\beta = 0.984$, $\phi = 1.64$ \\
Technology & \\
Fixed & $\theta = 0.33$, $g(A) = 2.02$ \\
Calibrated & $\delta_k = 0.054$, $r = 5.8$ \\
Targets & $K/Y = 2.49$, $I/Y = 0.21$, $n = 0.31$ \\
\hline
\end{tabular}%
%%%%%%%%%%%%%%% End /document/model1/out/cal_tb_001.tex %%%%%%%%%%%%%%%
%%%%%%%%%%%%%% Start /document/model1/out/cal_tb_030.tex %%%%%%%%%%%%%%
\begin{tabular}{|l|r|}
\hline
\textbf{ } & \textbf{Parameter values} \\
\hline
Households & \\
Fixed & $\sigma = 2.0$, $g(N) = 1.14$ \\
Calibrated & $\beta = 0.984$, $\phi = 1.64$ \\
Technology & \\
Fixed & $\theta = 0.33$, $g(A) = 2.02$ \\
Calibrated & $\delta_k = 0.054$, $r = 5.8$ \\
Targets & $K/Y = 2.49$, $I/Y = 0.21$, $n = 0.31$ \\
\hline
\end{tabular}%
%%%%%%%%%%%%%%% End /document/model1/out/cal_tb_030.tex %%%%%%%%%%%%%%%
%%%%%%%%%%%%%% Start /document/model1/out/bgp_tb_001.tex %%%%%%%%%%%%%%
\begin{tabular}{|l|r|r|r|r|r|r|r|r|}
\hline
\textbf{Country} & \textbf{Hours} & \textbf{Data} & \textbf{$I/Y$} & \textbf{Data} & \textbf{$K/Y$} & \textbf{Data} & \textbf{$C/Y$} & \textbf{Data} \\
\hline
Germany & 0.26 & 0.25 & 0.21 & 0.25 & 2.69 & 3.65 & 0.63 & 0.59 \\
Japan & 0.30 & 0.35 & 0.20 & 0.33 & 2.59 & 3.78 & 0.67 & 0.52 \\
Netherlands & 0.27 & 0.24 & 0.21 & 0.23 & 2.58 & 3.30 & 0.59 & 0.52 \\
Italy & 0.26 & 0.23 & 0.19 & 0.22 & 2.59 & 3.32 & 0.65 & 0.60 \\
France & 0.26 & 0.23 & 0.21 & 0.24 & 2.65 & 3.20 & 0.59 & 0.56 \\
Belgium & 0.25 & 0.22 & 0.19 & 0.23 & 2.53 & 3.13 & 0.61 & 0.55 \\
United Kingdom & 0.29 & 0.26 & 0.18 & 0.19 & 2.32 & 2.56 & 0.64 & 0.64 \\
Spain & 0.30 & 0.21 & 0.21 & 0.24 & 2.69 & 3.02 & 0.63 & 0.60 \\
Austria & 0.26 & 0.26 & 0.21 & 0.25 & 2.65 & 3.27 & 0.63 & 0.59 \\
Sweden & 0.24 & 0.27 & 0.19 & 0.21 & 2.43 & 3.28 & 0.56 & 0.50 \\
Finland & 0.25 & 0.28 & 0.20 & 0.26 & 2.53 & 4.24 & 0.60 & 0.50 \\
Switzerland & 0.29 & 0.32 & 0.21 & 0.30 & 2.62 & 4.33 & 0.71 & 0.58 \\
Australia & 0.32 & 0.29 & 0.21 & 0.25 & 2.37 & 3.05 & 0.63 & 0.60 \\
USA & 0.31 & 0.31 & 0.21 & 0.21 & 2.49 & 2.49 & 0.66 & 0.68 \\
Canada & 0.29 & 0.29 & 0.20 & 0.25 & 2.38 & 3.03 & 0.65 & 0.58 \\
\hline
\end{tabular}%
%%%%%%%%%%%%%%% End /document/model1/out/bgp_tb_001.tex %%%%%%%%%%%%%%%
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%%%%%%%%%%% Start /document/model1/out/bgp_labor_tb_001.tex %%%%%%%%%%%
\begin{tabular}{|l|r|r|r|r|r|r|r|}
\hline
\textbf{Country} & \textbf{USA} & \textbf{Param} & \textbf{$g(N)$} & \textbf{$G/Y$} & \textbf{$\tau_{k}$} & \textbf{$\tau_{w}$} & \textbf{Data} \\
\hline
DEU & 0.31 & 0.31 & 0.30 & 0.31 & 0.32 & 0.26 & 0.25 \\
JPN & 0.31 & 0.31 & 0.30 & 0.30 & 0.31 & 0.30 & 0.35 \\
NLD & 0.31 & 0.31 & 0.30 & 0.33 & 0.33 & 0.27 & 0.24 \\
ITA & 0.31 & 0.31 & 0.30 & 0.31 & 0.31 & 0.26 & 0.23 \\
FRA & 0.31 & 0.31 & 0.30 & 0.33 & 0.33 & 0.26 & 0.23 \\
BEL & 0.31 & 0.31 & 0.30 & 0.32 & 0.32 & 0.25 & 0.22 \\
GBR & 0.31 & 0.31 & 0.30 & 0.32 & 0.32 & 0.29 & 0.26 \\
ESP & 0.31 & 0.31 & 0.30 & 0.31 & 0.32 & 0.30 & 0.21 \\
AUT & 0.31 & 0.31 & 0.30 & 0.31 & 0.32 & 0.26 & 0.26 \\
SWE & 0.31 & 0.31 & 0.30 & 0.35 & 0.35 & 0.24 & 0.27 \\
FIN & 0.31 & 0.31 & 0.30 & 0.33 & 0.33 & 0.25 & 0.28 \\
CHE & 0.31 & 0.31 & 0.30 & 0.29 & 0.29 & 0.29 & 0.32 \\
AUS & 0.31 & 0.31 & 0.31 & 0.32 & 0.32 & 0.32 & 0.29 \\
USA & 0.31 & 0.31 & 0.31 & 0.31 & 0.31 & 0.31 & 0.31 \\
CAN & 0.31 & 0.31 & 0.31 & 0.32 & 0.31 & 0.29 & 0.29 \\
\hline
\end{tabular}%
%%%%%%%%%%%% End /document/model1/out/bgp_labor_tb_001.tex %%%%%%%%%%%%
%%%%%%%%%%%%% Start /document/model1/out/bgp_iy_tb_001.tex %%%%%%%%%%%%
\begin{tabular}{|l|r|r|r|r|r|}
\hline
\textbf{Country} & \textbf{USA} & \textbf{Param} & \textbf{$g(N)$} & \textbf{$\tau_{k}$} & \textbf{Data} \\
\hline
DEU & 0.21 & 0.21 & 0.19 & 0.21 & 0.25 \\
JPN & 0.21 & 0.21 & 0.19 & 0.20 & 0.33 \\
NLD & 0.21 & 0.21 & 0.20 & 0.21 & 0.23 \\
ITA & 0.21 & 0.21 & 0.19 & 0.19 & 0.22 \\
FRA & 0.21 & 0.21 & 0.20 & 0.21 & 0.24 \\
BEL & 0.21 & 0.21 & 0.19 & 0.19 & 0.23 \\
GBR & 0.21 & 0.21 & 0.19 & 0.18 & 0.19 \\
ESP & 0.21 & 0.21 & 0.19 & 0.21 & 0.24 \\
AUT & 0.21 & 0.21 & 0.19 & 0.21 & 0.25 \\
SWE & 0.21 & 0.21 & 0.19 & 0.19 & 0.21 \\
FIN & 0.21 & 0.21 & 0.19 & 0.20 & 0.26 \\
CHE & 0.21 & 0.21 & 0.20 & 0.21 & 0.30 \\
AUS & 0.21 & 0.21 & 0.22 & 0.21 & 0.25 \\
USA & 0.21 & 0.21 & 0.21 & 0.21 & 0.21 \\
CAN & 0.21 & 0.21 & 0.21 & 0.20 & 0.25 \\
\hline
\end{tabular}%
%%%%%%%%%%%%%% End /document/model1/out/bgp_iy_tb_001.tex %%%%%%%%%%%%%
%%%%%%%%%%%%%%% Start /document/model1/out/tr_tb_030.tex %%%%%%%%%%%%%%
\begin{tabular}{|l|r|}
\hline
\textbf{Country} & \textbf{$k_{1}/k_{ss}$} \\
\hline
Germany & 0.78 \\
Japan & 0.48 \\
Netherlands & 0.86 \\
Italy & 0.70 \\
France & 1.10 \\
Belgium & 1.06 \\
United Kingdom & 1.21 \\
Spain & 1.09 \\
Austria & 0.93 \\
Sweden & 0.85 \\
Finland & 0.60 \\
Switzerland & 0.51 \\
Australia & 0.77 \\
USA & 0.92 \\
Canada & 0.68 \\
\hline
\end{tabular}%
%%%%%%%%%%%%%%%% End /document/model1/out/tr_tb_030.tex %%%%%%%%%%%%%%%
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