% \iffalse
%
% mattens.dtx  Copyright (C) 2001,2004 DNJ Els
%
% It may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.1
% of this license or (at your option) any later version.
% The latest version of this license is in
%    http://www.latex-project.org/lppl.txt
% and version 1.1 or later is part of all distributions of LaTeX
% version 1999/06/01 or later.
%
%<*driver>
\documentclass[a4paper]{ltxdoc}
\usepackage{amsmath}
\usepackage{amsfonts}
   \DeclareMathSymbol{\square}{\mathord}{AMSa}{"03}
\usepackage{color}
      % Declare the following two saved boxes before
      % the accents and bm packages are loaded
   \newsavebox{\AccentBox}
   \sbox{\AccentBox}{$\dot{\overline{f}}^a_b$}
\usepackage{array}
\usepackage{accents}
\usepackage{mattens}
\usepackage{bm}
   \bmdefine{\bO}{\mathit{\Omega}}

   \EnableCrossrefs
  %\DisableCrossrefs      % Say \DisableCrossrefs if index is ready
   \CodelineIndex
   \RecordChanges         % Gather update information
  %\OnlyDescription       % comment out for implementation details
   \setlength\hfuzz{15pt} % dont make so many
   \hbadness=7000         % over and under full box warnings
   \DeclareMathAlphabet{\mathsfsl}{OT1}{cmss}{m}{sl}
\begin{document}
   \DocInput{mattens.dtx}
\end{document}
%</driver>
%
% \fi
%
% \CheckSum{585}
%% \CharacterTable
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%%   Digits        \0\1\2\3\4\5\6\7\8\9
%%   Exclamation   \!     Double quote  \"     Hash (number) \#
%%   Dollar        \$     Percent       \%     Ampersand     \&
%%   Acute accent  \'     Left paren    \(     Right paren   \)
%%   Asterisk      \*     Plus          \+     Comma         \,
%%   Minus         \-     Point         \.     Solidus       \/
%%   Colon         \:     Semicolon     \;     Less than     \<
%%   Equals        \=     Greater than  \>     Question mark \?
%%   Commercial at \@     Left bracket  \[     Backslash     \\
%%   Right bracket \]     Circumflex    \^     Underscore    \_
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%%   Right brace   \}     Tilde         \~}
%%
%
% \DoNotIndex{\,, \@empty, \@gobble, \@ifnextchar, \@ifstar,
%             \@ifundefined, \@firstofone}
% \DoNotIndex{\addtolength}
% \DoNotIndex{\begingroup, \boldsymbol, \box}
% \DoNotIndex{\copy, \csname, \CurrentOption}
% \DoNotIndex{\DeclareOption, \DeclareRobustCommand, \def, \dp}
% \DoNotIndex{\edef, \else, \endcsname, \endgroup, \ensuremath,
%             \expandafter}
% \DoNotIndex{\fi}
% \DoNotIndex{\global}
% \DoNotIndex{\hskip, \ht}
% \DoNotIndex{\ifdim, \ifx}
% \DoNotIndex{\leavevmode, \left, \let, \lVert}
% \DoNotIndex{\m@th, \mathpalette, \mathsf, \mathstrut, \mskip}
% \DoNotIndex{\NeedsTeXFormat, \newbox, \newcommand, \newif, \newlength,
%             \newmuskip, \newsavebox, \null}
% \DoNotIndex{\overline}
% \DoNotIndex{\PackageError, \PackageWarning, \ProcessOptions, \protect,
%             \protected@xdef, \providecommand, \ProvidesPackage}
% \DoNotIndex{\relax, \renewcommand, \RequirePackage, \right, \rlap,
%             \rVert}
% \DoNotIndex{\sbox, \setbox, \setlength, \space, \string}
% \DoNotIndex{\the}
% \DoNotIndex{\underline, \usebox, \wd, \widetilde}
% \DoNotIndex{\z@}
%
% \changes{1.0}{2001 Dec 9}{Initial version}
% \changes{1.1}{2004 Jan 15}{Doc: Updated}
%
%
% \GetFileInfo{mattens.sty}
%
% ^^A Some commands to format document %%%%%%%%%%%%%
%
% \newcommand*{\pkg}[1]{\textsf{#1}}
% \newcommand*{\opt}[1]{\textsf{#1}}
% \newcommand*{\MT}{\pkg{mattens}}
% \newcommand*{\Hass}{Hassenpflug}
%
% \newcommand*{\myemph}[1]{\emph{#1}}
%
%  \newenvironment{Decl}^^A
%     {\par\small\addvspace{2.3ex plus 1ex}^^A
%      \vskip -\parskip
%      \noindent\hspace{\leftmargini}^^A
%      \begin{tabular}{|l|}\hline\ignorespaces}^^A
%     {\\\hline\end{tabular}\nobreak\par\nobreak
%      \vspace{2.3ex}\vskip -\parskip}
%
% \newenvironment{Indent}[1]{^^A
%    \begin{list}{}{^^A
%       \setlength{\topsep}{0pt}^^A
%       \setlength{\leftmargin}{#1}^^A
%       \setlength{\listparindent}{\parindent}^^A
%       \setlength{\itemindent}{\parindent}^^A
%       \setlength{\parsep}{\parskip}}^^A
%     \item[]
%   }{\end{list}}
%
% \newenvironment{sample}{^^A
%   \begin{quote}\small\begin{tabbing}^^A
%   \hskip12pc\=\kill}^^A
%   {\end{tabbing}\end{quote}}
%
% \newcommand*{\sphline}{^^A     horizontal table line with spaces
%    \noalign{\vskip3pt}^^A
%    \hline^^A
%    \noalign{\vskip3pt}}
%
% \newcommand{\dotr}[1]{\accentset{\phantom{r}{\displaystyle.}r}{#1}}
%
% \makeatletter
% \newcommand{\DeclareSBox}[2]{%
%    \@ifdefinable{#1}{^^A
%       \edef\tempa{\expandafter\@gobble\string#1}^^A
%       \edef\tempa{\csname MTbox@\tempa\endcsname}^^A
%       \expandafter\newbox\tempa^^A
%       \global\sbox{\tempa}{#2}^^A
%       \protected@xdef#1{\noexpand\usebox{\tempa}}^^A
%    }}
% \newcommand*{\tdot}{\ensuremath{\cdot}}
% \newcommand*{\trnsp}{\ensuremath{\mathsf{T}}}
% \newcommand*{\norm}[1]{\ensuremath{\lVert{#1}\rVert}}
% \newcommand*{\SB}[1]{\ensuremath{\left[\, #1\right]}}
% \makeatother
%
% \MakeShortVerb{\|}
%
% \title{The \MT\ package\thanks{This file has version number
%                               \fileversion, last revised
%                               \filedate.}}
% \author{Danie Els}
% \date{\filedate}
% \maketitle
%
% \begin{abstract}
% \noindent The \MT\ package contains the definitions to typeset vectors and
% tensors such as \aS{e}_i, \bS[\dot]{x}^r, \bSb{E}^s_r, etc., for the representation of common
% vectors and tensors such as forces, velocities, moments of inertia,
% etc.
% These symbols (and variants thereof) are found on the black
% boards of engineering schools and in many journals and books,
% particularly those concerned with dynamics and kinematics.
%
% This package adheres to the well defined and documented notation
% of Hassenpflug.\footnote{
%     Hassenpflug, W.C.,
%     Matrix Tensor Notation Part I. Rectilinear Orthogonal Coordinates.
%     \emph{Comput. Math.\ Applic.,} vol.\ 26, no.\ 3, 1993, pp.\ 55--93.}
%                                \footnote{
%    Hassenpflug, W.C.,
%    Matrix Tensor Notation Part II. Skew and Curved Coordinates.
%    \emph{Comput. Math. Appl.}, vol.\ 29, no.\ 11, 1993, pp. 1--103.}
%
% \medskip
%
% \noindent\slshape{\bfseries Keywords:} vector, matrix, tensor, notation.
% \end{abstract}
%
% \clearpage
% {\parskip0pt\tableofcontents}
%
% \clearpage
% \section{Background}
%
% A browse through journals and handbooks, in particular those
% concerned with dynamics, reveals an amazing array of private
% notations for vectors and tensors. Every author has his or her own
% notation, making it very difficult to comprehend what is going on
% in complex multi reference axes environments.
%
% This package is based on the notation of \Hass\cite{Hass93a,Hass93b}.
% It was developed and refined by Dr.~\Hass{} over many years of
% teaching engineering, and as stated by him\cite{Hass93a}:
%
% \begin{quote}
% \slshape``It is designed particulary to distinguish between
% vectors and tensors and their representation as vectors and matrices
% in different coordinate systems. The main purpose of this notation
% is that it can be used in the teaching situation, therefore, it
% conveys all the information explicitly in the symbols, and it can be
% used in handwriting.''
% \end{quote}
% \noindent \Hass\cite{Hass93a} identifies the following list of
% requirements for a good notation for tensor quantities and
% operations, to which his notation conforms. A notation must:
% \begin{itemize}
% \item be easily written by hand;
% \item distinguish between vector and scalar quantities;
% \item distinguish between (second order) tensors and vectors;
% \item distinguish between physical vectors and their
%       representation by vector arrays, and between physical
%       (second order) tensors and their representation by matrices;
% \item distinguish between row and column vectors;
% \item use the same symbol as name for the same vector or tensor in
%       either its physical sense or its representation by a vector
%       array or matrix in different coordinate axes;
% \item distinguish between matrix/vector representation of the same
%       vector/tensor in different coordinate axes;
% \item be equally valid in orthonormal and skew coordinate
%       axes;
% \item indicate all intended operations uniquely;
% \item be equally valid in all dimensions;
% \item be equally valid for algebraic vector/matrix algebra
%       which has no connection to any metric space;
% \item be applicable to differentials;
% \item allow for defaults to avoid repetitive elaborate symbols, i.e.,
%       not all the symbols need to be written down explicitly if it is
%       clear from the context.
% \item It must be well documented (own addition).
% \end{itemize}
%
% \noindent The \MT\ package was developed to typeset the \Hass{} matrix
% tensor symbols in a consistent manner.
%
% An appeal is made to
% the engineering and scientific community to adopt
% this notation, because of its consistency
% and ease of use.
%
%
% \section{Usage of \MT\ package}
%
% The \MT\ package is loaded in the document preamble with:
% \begin{quote}
% \begin{tabbing}^^A
% \hskip14pc\=\kill^^A
% $~~~\vdots$\\
% \cmd{\usepackage}\oarg{options}|{mattens}| \>|% amsmath loaded internally|\\
% $~~~\vdots$\\
% \cmd{\usepackage}\marg{font packages}      \>|%|\\
% \cmd{\DeclareSymbolFont}...                \>|% All the font changes|\\
% \cmd{\SetSymbolFont}...                    \>|%|\\
% \cmd{\DeclareSymbolFontAlphabet}...        \>|%|\\
% $~~~\vdots$\\
% \cmd{\usepackage}|{bm}       %\boldsymbol redirected to call \bm|\\
% $~~~\vdots$
% \end{tabbing}
% \end{quote}
%
% \noindent When \MT\ is loaded, the \pkg{amsmath} package is loaded
% automatically, because it is needed for the redefined
% \cmd{\overrightarrow} and \cmd{\underrightarrow} commands,
% as well as the \cmd{\boldsymbol} command. It
% must be loaded before any font packages
% that redefine some of the \pkg{amsmath} symbols or commands.
%
% On the other hand, the preferred method for obtaining bold
% italic math symbols is the \cmd{\bm} command of the
% \pkg{bm} package.\footnote{In the \pkg{amsmath} documentation,
% \AmS{} recommends the \cmd{\bm} command of the \pkg{bm} package
% instead of the \cmd{\boldsymbol} command for bold italic math
% symbols. The \cmd{\boldsymbol} puts its contents in a box,
% \cmd{\mbox\{}\cmd{\boldmath\$}\meta{contents}\texttt{\$\}},
% while \cmd{\bm} is a font changing command that uses the appropriate
% bold math font.}
% The \pkg{bm} package must be loaded after all the font packages
% in order for it to recognize the bold math versions.
% The \pkg{bm} package reroutes the \cmd{\boldsymbol} command to point
% to \cmd{\bm}. If \cmd{\boldsymbol} is called after
% the \pkg{bm} package is loaded, it is equivalent to
% \cmd{\bm}.
% If the \pkg{bm} package is not loaded, \MT\ defaults to
% the \cmd{\boldsymbol} command.
%
% The \MT\ package by default sets bold italics symbols. This
% choice stems from the ISO standards for typesetting of vectors
% and tensors. The formatting of symbols then indicates the fact
% that it is a vector/tensor and the lines, arrows and sub- and
% superscripts indicate the specific type and reference axes.
%
% The following options are recognized by \MT:
%
% \begin{description}
% \item[\normalfont\opt{noformat}:~~ ]  No symbol formatting is performed,
%      otherwise symbols are set by default in bold italics with the
%      \cmd{\boldsymbol} or \cmd{\bm} command.
%
%      It is important to note that the \Hass{} requirement of easily
%      written by hand is not fulfilled if the symbols are formatted
%      by anything else than normal math fonts.
%
% \item[\normalfont\opt{mathstrut}: ~~] A mathstrut is inserted
%      with the symbol to force all the lines and arrows to the same
%      height and depth. The default is no mathstrut.
% \end{description}
%
% \clearpage
% \section{List of \MT\ commands}
%
% \begin{table}[htbp]
% \caption{List of Matrix Tensor typing commands} \label{tab:1}
% \small
% \renewcommand{\footnoterule}{}
% \begin{tabular}{@{}ll>{\itshape}r@{}>{\itshape}c@{}>{\itshape}lc@{}}
% \sphline
%    \bfseries  Type   &
%    \bfseries Command &
% \multicolumn{3}{c}{
%    \bfseries  Description} &
%    \bfseries  Output\\
% \sphline
% Physical column vector&
% \cmd{\aS}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{aS}  &
% arrow--&Symbol&       &
% \aS{x}  \\[1.0ex]
%
% Physical row vector   &
% \cmd{\Sa}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{Sa}  &
%        &Symbol&--arrow&
% \Sa{x}  \\[1.0ex]
%
% Column vector         &
% \cmd{\bS}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{bS}  &
%    bar--&Symbol&       &
% \bS{x}  \\[1.0ex]
%
% Row vector            &
% \cmd{\Sb}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{Sb}  &
%         &Symbol&--bar  &
% \Sb{x}  \\[1.0ex]
%
% Physical tensor       &
% \cmd{\aSa}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{aSa}&
%  arrow--&Symbol&--arrow&
% \aSa{E}\\[1.0ex]
%
% Tensor (mixed base)   &
% \cmd{\aSb}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{aSb}&
%  arrow--&Symbol&--bar  &
% \aSb{E}\\[1.0ex]
%
% Tensor (mixed base)   &
% \cmd{\bSa}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{bSa}&
%    bar--&Symbol&--arrow&
% \bSa{E}\\[1.0ex]
%
% Tensor                &
% \cmd{\bSb}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{bSb}&
%   bar--&Symbol&--bar  &
% \bSb{E}\\[1.0ex]
%
% Cross-product tensor$^\dag$
%                       &
% \cmd{\aCSa}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{aCSa}&
% arrow--C&Symbol&--arrow&
% \aCSa{w} \\[1.0ex]
%
% Cross-product tensor  &
% \cmd{\bCSb}\oarg{accent}\marg{Symbol}\SpecialUsageIndex{bCSb}&
%   bar--C&Symbol&--bar  &
% \bCSb{w} \\[1.0ex]
%
% \sphline
%
% \multicolumn{5}{@{}l}{\footnotesize$^\dag$~
%    It is defined as the tensor
%    \bCSb{a}\ associated with the vector \bS{a}, where
%    $\bS{a}\times\bS{c}=\bCSb{a}\cdot\bS{c}$}
% \end{tabular}
% \end{table}
%
% \subsection{General syntax}
%
% The general syntax of the \MT\ commands is
%{\newcommand*\m{\raisebox{.1ex}{$\scriptscriptstyle\square$}}^^A
% \begin{Decl}
%       |\|\m|S|\m\,| |\oarg{accent}\marg{Symbol} ~~
%       |\|\m|CS|\m\,| |\oarg{accent}\marg{Symbol}\\[1ex]
%       |\|\m|S|\m\,|*|\oarg{accent}\marg{Symbol}~~~
%       |\|\m|CS|\m\,|*|\oarg{accent}\marg{Symbol}
% \end{Decl}}
%
% \noindent with command names \cmd{\bS}, \cmd{\aS}, \cmd{\aSa}, \cmd{\aSb}, etc.
% See table\:\ref{tab:1} for a full list of all the commands.  The
% ``starred'' form is used to set the
% symbol in normal math. This can be used for compound tensors or for
% pre-declared symbols (see \pkg{bm} documentation).
% An example of the usage is
% \begin{sample}
% \hskip4pc\=\hskip8pc\=\hskip2pc\=\kill^^A
% \cmd{\aS}|{e}|  \> \cmd{\aS*}|{e}|   \> \aS{e}  \> \aS*{e}\\[0.75ex]
% \cmd{\Sb}|{x}|  \> \cmd{\Sb*}|{x}|   \> \Sb{x}  \> \Sb*{x}\\[0.75ex]
% \cmd{\aCSa}|{z}|\> \cmd{\aCSa*}|{z}| \> \aCSa{z}\> \aCSa*{z}
% \end{sample}
% The optional argument \meta{accent} is intended for
% \LaTeX{} accent commands such as \cmd{\dot}, \cmd{\ddot}, etc., or
% their $\AmS$ equivalents, \cmd{\Dot}, \cmd{\Ddot}.
%
% \begin{sample}
% |\bS[\Ddot]{x}| \> \bS[\Ddot]{x}
% \end{sample}
%
% \noindent The \MT\ commands look ahead for sub- and superscripts (including primes)
% in order to place them at the correct horizontal and vertical
% positions.
% \begin{sample}
% \cmd{\bS}|[|\cmd{\Dot}|]{x}^s_i|  \> \bS[\Dot]{x}^s_i\\[1ex]
% \cmd{\bS}|[|\cmd{\Ddot}|]{x}_i^s|  \> \bS[\Ddot]{x}_i^s\\[1ex]
% \cmd{\bS}|{x}''^s_i|  \> \bS{x}''^s_i\\[1ex]
% \cmd{\bSa}|{E}^k|         \> \bSa{E}^k\\[1ex]
% \cmd{\aSb}|[|\cmd{\Dot}|]{E}_s|         \> \aSb[\Dot]{E}_s
% \end{sample}
%
% \noindent These commands, including the sub- and
% superscripts, can be used in text mode.
%
% \begin{sample}
% |Vector \bS{x}^s_i{} in text.| \>
%  Vector \bS{x}^s_i{} in text.
% \end{sample}
%
% \noindent The commands are also robust and can be used in moving commands
% such as footnotes\footnote{A vector \aS{e}_i\ in a footnote},
% headers, etc.
%
% \begin{sample}
% |\footnote{A vector \aS{e}_i{} in a footnote}|
% \end{sample}
%
% \noindent  The symbols scale to the appropriate sizes if used in sub- and
% superscripts. For example, for an integration path parameterized
% by the vector $\bS{r}^s(\xi)$, the equation for a line integral
%
% \begin{verbatim}
%    \begin{equation*}
%       \oint\limits_{\bS{r}^s(\xi)}  \dotsi
%     \end{equation*}
% \end{verbatim}
% gives
% \[\oint\limits_{\bS{r}^s(\xi)} \dotsi\]
%
% \bigskip
%
% ^^A\clearpage
% \section{Symbol formatting commands}
% \subsection{Bold italic symbols}
%
% \noindent The symbol format can be set with the package options
%
% \begin{sample}
% \hskip14pc\=\kill
% |\usepackage{mattens}|             \>Uses |\boldsymbol| as default\\
% |\usepackage[noformat]{mattens}|   \>No symbol formatting
% \end{sample}
%
% \noindent or anywhere in the document with the command
%
% \begin{Decl}
%   \cmd{\SetSymbFont}\marg{font-command}^^A
%   \SpecialUsageIndex{\SetSymbFont}
% \end{Decl}
%
% \noindent The \pkg{bm} package reroutes the \cmd{\boldsymbol} command to point
% to \cmd{\bm}. If \cmd{\SetSymbFont}|{\boldsymbol}| is called after
% the \pkg{bm} package is loaded, it is equivalent to
% \cmd{\SetSymbFont}|{\bm}|.  Bold formatting of individual tensors
% can also be switched off with the use of the starred forms of the
% tensor commands.
%
% If the symbols are interpreted as tensors, then according to the ISO,
% it can be typeset in a slanted sans serif font (if you are fond
% of fonts).  For the Computer Modern fonts with an \texttt{OT1}
% encoding, you can put in the preamble
%
% \begin{quote}
% |\DeclareMathAlphabet{\mathsfsl}{OT1}{cmss}{m}{sl}|
% \end{quote}
%
% \noindent Examples of formats are
%
% \begin{sample}
% |\SetSymbFont{\bm}|       \>\SetSymbFont{\bm}\aSb{E}_s\\[1ex]
% |\SetSymbFont{\relax}|    \>\SetSymbFont{\relax}\aSb{E}_s\\[1ex]
% |\SetSymbFont{\mathsfsl}| \>\SetSymbFont{\mathsfsl}\aSb{E}_s
% \end{sample}
% \SetSymbFont{\bm}
%
% Only the first symbol (or group) in multi-symbol constructions is
% formatted. This can be used to obtain
%
% \begin{sample}
% |\bS{{}xy}| ~|\bS*{xy}| \> \bS{{}xy} ~ \bS*{xy}\\
% |\bS{xy}|   \> \bS{xy} \\
% |\bS{{xy}}| \> \bS{{xy}}
% \end{sample}
% or
% \begin{sample}
% |\bCSb*{\bS{x}+\bS{y}}| \> \bCSb*{\bS{x}+\bS{y}}\\[1ex]
% |\bSb{E_{313}}^s_r| \> \bSb{E_{313}}^s_r
% \end{sample}
%
% When a font does not have bold italic symbols and is properly
% configured, the |\bm| command
% constructs the symbols with the ``poor man's bold''
% method. This results in the loss of the subscript kerning.
% This is the case for the \pkg{mathptm}\ package for Times fonts.
% If bold italic symbols are needed for Times fonts, it is advisable
% to use the \pkg{txfonts} package or one of the commercial fonts.
%
%
% \subsection{Struts}
%
% A strut can be inserted inside the tensor construction to force
% all the lines to the same height. This can be given in the package
% options
%
% \begin{sample}
% \hskip14pc\=\kill
% |\usepackage{mattens}|             \>No strut as default \\
% |\usepackage[mathstrut]{mattens}|  \>Uses |\mathstrut|
% \end{sample}
%
% \noindent or anywhere in the document with the command
%
% \begin{Decl}
%    \SpecialUsageIndex{\SetSymbStrut}^^A
%    \cmd{\SetSymbStrut}\marg{strut}
% \end{Decl}
%
% \noindent For example
%
% \SetSymbStrut{\relax}
% \begin{sample}
% |\SetSymbStrut{\relax}| \\
% |\bSb{E}|, |\bS{f}|, |\Sb{y}| \>\bSb{E}, \bS{x}, \Sb{y}
% \end{sample}
% \SetSymbStrut{\mathstrut}%
% \begin{sample}
% |\SetSymbStrut{\mathstrut}| \\
% |\bSb{E}|, |\bS{f}|, |\Sb{y}| \>\bSb{E}, \bS{x}, \Sb{y}
% \end{sample}
% \SetSymbStrut{\vphantom{E}}%
% \begin{sample}
% |\SetSymbStrut{\vphantom{E}}| \\
% |\bSb{E}|, |\bS{f}|, |\Sb{y}| \>\bSb{E}, \bS{x}, \Sb{y}
% \end{sample}
% \SetSymbStrut{\relax}
%
% \subsection{Additional sub- and superscript spaces}
%
% The placing of the sub- and superscripts was fine-tuned for
% Computer Modern fonts. Other fonts may require the sub- and
% superscript to shift closer or further away from the lines and the
% symbols. Additional spaces can be inserted before the sub- and
% superscripts with the following commands:
%
% \begin{Decl}
%    \cmd{\SetArrowSkip}\marg{muskip length}\\[.5ex]
%    \cmd{\SetBarSkip}\marg{muskip length}\\[.5ex]
%    \cmd{\SetSymSubSkip}\marg{muskip length}\\[.5ex]
%    \cmd{\SetSymSupSkip}\marg{muskip length}
%    \SpecialUsageIndex{\SetArrowSkip}
%    \SpecialUsageIndex{\SetBarSkip}
%    \SpecialUsageIndex{\SetSymSubSkip}
%    \SpecialUsageIndex{\SetSymSupSkip}
% \end{Decl}
%
% \noindent The length units must be in math units (\myemph{mu}), where
% $18\,\mathit{mu}=1\,\mathit{em}$ (a little less than the
% width of the letter ``M'').
%
%
%
% \section{Other packages and classes}
%
% \begin{description}
%
% \item[\normalfont\pkg{bm}:~~] The \pkg{bm} package is preferred for
% bold\-/\-heavy symbols in math mode. It can also be used to
% predeclare bold symbols for use with the starred form of the tensor
% commands, for example:
% \SetSymbFont{\bm}
% \begin{sample}
%  |\bmdefine{\bO}{\mathit{\Omega}}|\\
%  |\bSb*{\bO_i}|  \>\qquad\qquad\qquad \bSb*{\bO_i}
% \end{sample}
%
% \item[\normalfont\pkg{hyperref}:~~]
% When tensor symbols are set in chapter and section headers,
% \pkg{hyperref} crashes if the \cmd{\texorpdfstring} command is not used.
% \begin{sample}
%     |\section{A header with \texorpdfstring{\bS{x}^i_j}{xij}\ in it}| \\
% \end{sample}
%
% \item[\normalfont\pkg{color}:~~]
% To change the colour of a symbol the \cmd{\color} command must
% be grouped two levels deep to survive all the expansions if the
% \pkg{bm} package is loaded.
% \begin{sample}
% |\aSb{{{\color{red}E}}}_i| \> \aSb{{{\color{red}E}}}_i \\
% \end{sample}
%
% \item[\normalfont\pkg{slide}, \pkg{foils}:~~]
% The Euler math fonts are definitely compulsory. The ratio of
% the sub- and superscript sizes to normal math font sizes is too
% big inside the \pkg{slide} class. For tensors such as \bS{x}^j_k,
% you may find that the sub- and superscripts overlap. Choose
% your script characters carefully. \\
%
% \item[\normalfont\pkg{eulervm}:~~]
% The \Hass{} ideal of symbols that are easily written by hand
% is satisfied with the beautiful letters of the Euler fonts.
% This package is a must for presentation material, but \myemph{please
% do not use bold Euler symbols}, they just  do not look right! \\
%
% \item[\normalfont\pkg{accents}:~~]
% For the creation of alternative accents the \MT\ package is fully
% compatible with the \pkg{accents}\ package.
% As an example of its usage, the equation in \Hass\cite{Hass93a},
% \S10.1, p.82
%
% \begin{minipage}{\textwidth}
% \begin{verbatim}
% \SetSymbFont{\relax}
% \SetSymbStrut{\mathstrut}%
% \newcommand{\dotr}[1]{\accentset{\phantom{r}{\displaystyle.}r}{#1}}
% \begin{equation*}
%    \text{apparent velocity} = \frac{\partial_r}{\mathrm{d}t} \aS{r}
%                             = \aS[\dotr]{r}
%                             = \aSb{E}_s \tdot \bS[\dotr]{r}^s
%                        \equiv \aS{v}_{\mathrm{app}}
%                             = \aS{v}_{\mathrm{rel}}
% \end{equation*}
% \end{verbatim}
% \end{minipage}
% which gives\SetSymbFont{\relax}\SetSymbStrut{\mathstrut}%
% \begin{equation*}
% \text{apparent velocity} =
% \frac{\partial_r}{\mathrm{d}t} \aS{r} =
% \aS[\dotr]{r} =
% \aSb{E}_s \tdot \bS[\dotr]{r}^s \equiv
% \aS{v}_{\mathrm{app}} =
% \aS{v}_{\mathrm{rel}}
% \end{equation*}
% \SetSymbStrut{\relax}\SetSymbFont{\bm} \\
%
% \end{description}
% ^^A\clearpage
%
%
%
% \section{Additional commands}
%
% The commands in this section are no longer part of the \MT\
% package, but the definitions are supplied here if the user
% needs them.
%
% \subsection{Saving equations}
% \changes{1.1}{2004 Jan 15}{Doc: Code for \cs{DeclareSBox}, \cs{SB},
%                            \cs{norm}, \cs{trnsp}, \cs{tdot}
%                            added to documentation.}
% \begin{Decl}
%   \SpecialUsageIndex{\DeclareSBox}
%   \cmd{\DeclareSBox}\marg{$\backslash$cmd}\marg{contents}
% \end{Decl}
% \begin{sample}
% |\newcommand{\DeclareSBox}[2]{%                     |\\
% |   \@ifdefinable{#1}{%                             |\\
% |      \edef\tempa{\expandafter\@gobble\string#1}%  |\\
% |      \edef\tempa{\csname MTbox@\tempa\endcsname}% |\\
% |      \expandafter\newbox\tempa%                   |\\
% |      \global\sbox{\tempa}{#2}%                    |\\
% |      \protected@xdef#1{\noexpand\usebox{\tempa}}% |\\
% |   }}                                              |
% \end{sample}
%
% \noindent The \cmd{\DeclareSBox} command can be used
% to save the \meta{contents} in a savebox
% |\MTbox@|\textit{cmd}. It then defines a command |\|\textit{cmd} that
% expands to |\usebox{\MTbox@|\textit{cmd}|}|.
%
% It is \myemph{very important} to remember that it is the fully
% expanded version of the \meta{contents} that is saved and not the macros.
% If |\|\textit{cmd} is used in a different environment the
% contents will retain the settings they were declared with. The
% saved boxes (and commands) are defined globally so that the contents
% of the box are not destroyed when a group is exited.
%
% \begin{sample}
% \hspace{17pc}\=\kill
% |{\large\DeclareSBox{\Le}{\bS{e}^s}}| \> {\large\DeclareSBox{\Le}{\bS{e}^s}}\\
% |{\small\DeclareSBox{\se}{\bS{e}^s}}| \> {\small\DeclareSBox{\se}{\bS{e}^s}}\\
% |Test \Le\ and \se\ here.|               \> {\normalsize Test \Le\ and \se\ here.}
% \end{sample}
%
% This command is also useful for saving other objects such as
% the graphics of logos that are used repetitively.
%
%
% \subsection{Helper commands}
%
% When matrices and tensors are typed, there are some constructs that
% occur frequently.
%
% \begin{Decl}
%   \SpecialUsageIndex{\SB}
%   \cmd{\SB}\marg{argument}
% \end{Decl}
% \begin{sample}
% |\newcommand*{\SB}[1]{\ensuremath{\left[\, #1\right]}}|
% \end{sample}
%
% \noindent This command puts square brackets, \texttt{[...]},
% around its argument, and can be used in text mode. The square
% brackets are preferred for the first level delimiter to indicate
% that we are dealing with matrices.
%
% \begin{sample}
% |$\SB{\bSb{E}^s_r}^{-1}$| \> $\SB{\bSb{E}^s_r}^{-1}$ \\[.5ex]
% |$\SB{\bS{x}+\bS{y}\,}$|    \> $\SB{\bS{x}+\bS{y}\,}$
% \end{sample}
%
% \begin{Decl}
%   \SpecialUsageIndex{\norm}
%   \cmd{\norm}\marg{argument}
% \end{Decl}
% \begin{sample}
% |\newcommand*{\norm}[1]{\ensuremath{\lVert{#1}\rVert}}|
% \end{sample}
%
% \noindent  This is the standard form for a matrix or vector norm.
% \begin{sample}
% |$\norm{\aS{x}}=x$| \> $\norm{\aS{x}}=x$
% \end{sample}
%
% \begin{Decl}
%   \SpecialUsageIndex{\tdot}
%   \cmd{\tdot}
% \end{Decl}
% \begin{sample}
% |\newcommand*{\tdot}{\ensuremath{\cdot}}|
% \end{sample}
%
% \noindent This command sets a half-high dot to indicate matrix
% multiplication. It can be used in text mode.
%
% \begin{sample}
% |$\bS{x}^s = | \\
% |  \bSb{E}_r^s\tdot\bS{x}^r$| \>
% $\bS{x}^s =\bSb{E}_r^s\tdot\bS{x}^r$
% \end{sample}
%
% \begin{Decl}
%   \SpecialUsageIndex{\trnsp}
%   \cmd{\trnsp}
% \end{Decl}
% \begin{sample}
% |\newcommand*{\trnsp}{\ensuremath{\mathsf{T}}}|
% \end{sample}
%
% \noindent This command types the matrix transpose symbol ,\trnsp.
%
% \begin{sample}
% |$\SB{\bSb{E}^s_r}^\trnsp$| \> $\SB{\bSb{E}^s_r}^\trnsp$
% \end{sample}
% \clearpage
%
%
%
%
% \section{Typesetting the \Hass{} notation in \LaTeX}
% \subsection{Why?}
%
% The \Hass{} notation contains symbols such as, \aS{e}_i,
% \bS[\dot]{x}^{r}_{\alpha}, \bSa[\dot]{E}^s, etc. These symbols
% are quite common and variants thereof are found on many
% blackboards of engineering schools. Based on the reputation of
% \TeX{} it would seem trivial to typeset them, but to the contrary
% ...
% \SetSymbFont{\relax}
% \begin{sample}
% |\bS[\dot]{f}^a_b|        \> \bS[\dot]{f}^a_b ~~~(correct typesetting)\\[.75ex]
% |$\dot{\overline{f}}^a_b$| \> \usebox{\AccentBox}\\[.75ex]
% |$\dot{\overline{f}}{}^a_b$| \> $\dot{\overline{f}}{}^a_b$\\[.75ex]
% |$\dot{\overline{f}^a_b}$| \> $\dot{\overline{f}^a_b}$
% \end{sample}
% \SetSymbFont{\bm}
%
% When a subscript is inserted for slanted characters, e.g.,
% $f^a_b$, the subscript is kerned closer to the symbol.
% This subscript kerning as well as the superscript height is
% retained for math accents, e.g., $\dot{f}^a_b$. When
% the \cmd{\overline} or \cmd{\overrightarrow} commands are used together
% with math accents, the problems begin\footnote{If you are using
% Equation Editor or MathType inside word processors in the Windows environment,
% you end up with the same problems and have to fiddle \myemph{every}
% sub- and superscript individually. A browse through the accompanying
% sample document, \pkg{mtsample.tex}, will show that this can amount to
% hundreds of little equations. I challenge anyone to rewrite that
% document with one of the popular wordprocessors and still be sane
% afterwards :-)}:
%
% \begin{itemize}
%
% \item
% For an \cmd{\overline}, $\overline{f}^a_b$, the superscript moves up
% to the height of the overline, which is fine for vector notation,
% but the subscript kerning is lost, because the symbol is set
% inside a box with italic correction added (App. G of the
% \TeX{}book). If the subscript is added inside the \cmd{\overline}
% construct, $\overline{f_b}^a$, the overline is stretched, which is
% acceptable only when the subscript is part of the symbol itself.
% The subscript kerning can be corrected by attaching the subscript
% to the symbol and the superscript to the overline and then overtyping
% (\cmd{\rlap} or \cmd{\llap}) them while using a phantom symbol (without
% subscript) for the overline,
% \begin{sample}
%  |\leavevmode\rlap{$\overline{\phantom{f}}^a$}%|\\
%  |                {$f^{}_b$}|
% \end{sample}
% which gives \leavevmode\rlap{$\overline{\phantom{f}}^a$}{$f^{}_b$}.
%
% The \cmd{\leavevmode} command is nessesary to prevent the symbol
% being spread over two lines when it is the first token in a new
% paragraph (\TeX{} in vertical mode).
%
% Care must be taken with the sequence in which the two parts
% overlap when the one is wider than the other,
% \leavevmode\rlap{$\overline{\phantom{f}}^{abcde}$}{$f^{}_a$},
% because the superscript will then run into the following text.
%
% \item
% If a math accent is added to the overline, \usebox{\AccentBox},
% the superscript goes to the level of the accent (except if the
% \pkg{accents}\ package is loaded). This can be remedied by
% controlling the height of the accented overline construction with
% a \cmd{\vphantom} commands as a strut,
% ^^A
% \begin{sample}
%|\leavevmode\rlap%|\\
%|   {$\dot{\overline{\phantom{f}}}{\vphantom{\overline{f}}}^a$}%|\\
%|   {$f^{}_b$}|
% \end{sample}
% which gives
% \rlap^^A
%   {$\dot{\overline{\phantom{f}}}{\vphantom{\overline{f}}}^a$}^^A
%   {$f^{}_b$}.
%
% \item
% For an |\overrightarrow| in vector notation,
% ($\overrightarrow{i}_a$, ~$\overrightarrow{iiii}_a\,$), the
% construction of the stretchable arrow results in an arrow wider
% than most symbols, with the symbol centred below it.
% The subscript ended up far removed from the symbol.
% For multiple symbols, the arrow width is equal to the box containing
% the letters, resulting in better-looking subscripts
% (but still without the subscript kerning).
% The previous procedure can be used to correct the
% subscript kerning, except that additional white space must be
% inserted before the symbol to centre it beneath the arrow.
%
% \begin{sample}
% |\newlength{\Wspace}\settowidth{\Wspace}{$\overrightarrow{i}$}|\\
% |\newlength{\SymWdth}\settowidth{\SymWdth}{$i$}|\\
% |\addtolength{\Wspace}{-\SymWdth}              |\\
% |\leavevmode\rlap%                             |\\
% |   {$\dot{\overrightarrow{\phantom{i}}}$}%    |\\
% |   {\hspace*{.5\Wspace}$i^{}_b$}              |\\
% \end{sample}
% \newlength{\Wspace}\settowidth{\Wspace}{$\overrightarrow{i}$}
% \newlength{\SymWdth}\settowidth{\SymWdth}{$i$}
% \addtolength{\Wspace}{-\SymWdth}
% which gives \rlap{$\dot{\overrightarrow{\phantom{i}}}$}{\hspace*{.5\Wspace}$i^{}_b$}.
%
% The commands can be optimized by using saveboxes, \myemph{but}
% the symbols will not scale correctly when used as sub- or
% superscripts or in the \cmd{\tfrac} macro.  A solution is to nest
% the commands inside a \cmd{\mathpalette} environment, but be warned,
% this is very expensive!
% The commands \cmd{\phantom}, \cmd{\smash}, \cmd{\overrightarrow}
% (in \pkg{amsmath}) are already inside \cmd{\mathpalette} macros, and
% \TeX{} calls the arguments of a \cmd{\mathpalette} macro four times
% before deciding on the dimensions.
%
% \item
% The shape of the arrow tip of the |\overrightarrow| command was
% probably not designed for this type of application and is much too
% broad in the final CM font version. This broad arrow shape is
% incidentally one of last changes by Prof.~Knuth to the CM font symbols.
% The PostScript version of the CM fonts typesets the arrow much
% better, but it is highly likely that it is still the old outdated
% version of the symbol.
%
% \item
% The subscript heights differ for the cases with and without
% superscripts, $x_b,\; x_b^a$. This is not very satisfactory for a
% consistent matrix-tensor notation, but it can be remedied by
% inserting a dummy superscript, |$x^{}_b$|, which then gives
% $x^{}_b$, $x_b^a$.
%
% \end{itemize}
%
% The \MT\ package was developed to overcome (some of) the above-mentioned
% problems and to typeset the \Hass{} matrix tensor symbols in a
% consistent manner.
%
%
% \subsection{To do's}
%
% \begin{itemize}
% \item
% The vertical spacing between the symbols and the lines and arrows
% differs, \aSb{E}, \bSa{E}. This problem cannot be fixed easily
% and would need some additional struts or even a rewriting of the
% arrows and lines commands.
%
% \item
% For the purists: The ends of the |\overrightarrow| are rounded
% (ligature of symbols), while the ends of the |\overline| are squared
% (\TeX{} line drawing).
%
% \item
% \MT\ does not yet work with the \pkg{xspace} package.
% \end{itemize}
%
% \section{Bugs, etc.}
%
% I am sure there is much room for improvement, because
% I am a \TeX{}natic and not a \TeX{}pert and to quote
% Knuth from the \TeX{}book:
% \begin{quote}
% {\slshape\small Always remember, however, that there's usually
% a simpler and better way to do something than the first way that
% pops into your head. You may not have to resort to any subterfuge
% at all, since \TeX{} is able to do lots of things in a
% straightforward way. Try for simple solutions first.}
% \end{quote}
%
% \noindent Please send all bug reports, suggestions, advice or
% code improvements to:
%
% \begin{center}
% \colorbox[rgb]{1.00,1.00,0.50}{\begin{minipage}{.6\textwidth}
% \centering
% Danie Els\\
%
% \smallskip
% Department of Mechanical Engineering\\
% University of Stellenbosch\\
% Private Bag X1, Matieland 7602, South Africa.\\
% e-mail: \texttt{dnjels@sun.ac.za}
% \end{minipage}}
% \end{center}
%
% \bigskip
%
%
% \begin{thebibliography}{7}
%
%    \bibitem{Hass93a}
%    \Hass, W.~C.,
%    ``Matrix Tensor Notation Part I. Rectilinear Orthogonal Coordinates,''
%    \textsl{Comput. Math. Appl.},
%    \textbf{26}(3), 1993, pp. 55--93.
%
%    \bibitem{Hass93b}
%    \Hass, W.~C.,
%    ``Matrix Tensor Notation Part II. Skew and Curved Coordinates,''
%    \textsl{Comput. Math. Appl.},
%    \textbf{29}(11), 1993, pp. 1--103.
%
%    \end{thebibliography}
%
% \StopEventually{} ^^A end StopEventually
%
% \clearpage
%
% \section{The Code: \pkg{mattens.sty}}
%    \setlength{\parskip}{\smallskipamount}
%    \setlength{\parindent}{0pt}
%
%    \begin{macrocode}
%<*package>
%    \end{macrocode}
%
%
%
%    \subsection{Identification}
%
%    \begin{macrocode}
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{mattens}[2004/01/28 v1.2 Matrix/Tensors (DNJ Els)]
%    \end{macrocode}
%
%
%
%    \subsection{Options}
%
%    \begin{macro}{\MT@SymbStrt}
%    \begin{macro}{\SetSymbStrut}
%    Struts to set all the lines and arrows at
%    predetermined heights and depths.
%    \begin{macrocode}
\newcommand*{\MT@SymbStrt}{}
\newcommand*{\SetSymbStrut}[1]{\renewcommand*{\MT@SymbStrt}{#1}}
\SetSymbStrut{\relax}
\DeclareOption{mathstrut}{\SetSymbStrut{\mathstrut}}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%    \begin{macro}{\MT@SymbFnt}
%    \begin{macro}{\SetSymbFont}
%    Initialize the symbol font formatting commands.
%    \begin{macrocode}
\newcommand*{\MT@SymbFnt}{}
\newcommand*{\SetSymbFont}[1]{\renewcommand*{\MT@SymbFnt}{#1}}
\SetSymbFont{\boldsymbol}
\DeclareOption{noformat}{\SetSymbFont{\relax}}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%    Process the options
%    \begin{macrocode}
\DeclareOption*{%
    \PackageWarning{mattens}{Unknown option ‘\CurrentOption’}}
\ProcessOptions\relax
%    \end{macrocode}
%
%
%
%    \subsection{Packages}
%
%    The \pkg{amsmath} package is loaded to provide the scalable
%    \cmd{\overrightarrow} and \cmd{\underrightarrow} commands, as
%    well as the \cmd{\boldsymbol} command for setting bold math
%    symbols.
%
%    \begin{macrocode}
\RequirePackage{amsmath}
%    \end{macrocode}
%
%
%
%    \subsection{Workaround commands}
%
%    \begin{macro}{\MT@Overarrow}
%    \begin{macro}{\MT@Underarrow}
%    We define over- and under-arrows that bypass the
%    \cmd{\mathpalette} part of the \pkg{amsmath} macros
%    \cmd{\overrightarrow} and \cmd{\underrightarrow}. It uses
%    the \pkg{amsmath} internal macros \cmd{\overarrow@},
%    \cmd{\underarrow@} and \cmd{\rightarrowfill@}.
%    The first parameter |#1| consists of math styles \cmd{\displaystyle},
%    \cmd{\textstyle}, etc.  The second parameter |#2| is the symbol
%    or character.
%    \begin{macrocode}
\newcommand{\MT@Overarrow}[2]{\overarrow@{\rightarrowfill@}{#1}{#2}}
\newcommand{\MT@Underarrow}[2]{\underarrow@{\rightarrowfill@}{#1}{#2}}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%    \begin{macro}{\MT@Overline}
%    \begin{macro}{\MT@Underline}
%    Make over- and underlines with the same calling syntax as
%    the arrows.
%    \begin{macrocode}
\newcommand{\MT@Overline}[2]{{#1\overline{#2}}}
\newcommand{\MT@Underline}[2]{{#1\underline{#2}}}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%    \begin{macro}{\xusebox}
%    \changes{1.1}{2004 Jan 15}{More streamline.}
%    \changes{1.2}{2004 Jan 27}{Test if \pkg{pdftex.def} is loaded.
%        and command is rewritten to use a \cmd{\mathord} to
%        restore script heights}
%    The \cmd{\usebox} command does not function properly when the
%    \pkg{pdftex.def} driver is loaded, because \pkg{pdftex} does
%    not implement a colour stack such as in the \pkg{dvips} driver,
%    but simulate it at \TeX{} macro level.  The \cmd{\xusebox} is
%    a workaround where the \cmd{\usebox} command is grouped.\footnote{
%        Thanks to Heiko Oberdiek for this workaround}
%    A |\mathord| is added around the box to regain its height in the
%    \pkg{pdftex} case.
%    \begin{macrocode}
\AtBeginDocument{%
   \@ifl@aded{def}{pdftex}%
      {\newcommand*{\xusebox}[1]{\mathord{{\usebox{#1}}}}}%
      {\let\xusebox\usebox}%
}
%    \end{macrocode}
%    \end{macro}
%
%
%
%    \subsection{Initialize}
%
%    Define skip lengths for insertion in front of sub- and
%    superscripts.
%    \begin{macrocode}
\newmuskip{\MT@Askip}
\newmuskip{\MT@Bskip}
\newmuskip{\MT@SPskip}
\newmuskip{\MT@SBskip}
%    \end{macrocode}
%
%    \begin{macro}{\SetArrowSkip}
%    \begin{macro}{\SetBarSkip}
%    \begin{macro}{\SetSymSupSkip}
%    \begin{macro}{\SetSymSubSkip}
%    Define commands to set or change the skip lengths and set initial values.
%    \begin{macrocode}
\newcommand*{\SetArrowSkip}[1]{\MT@Askip#1}
\newcommand*{\SetBarSkip}[1]{\MT@Bskip#1}
\newcommand*{\SetSymSupSkip}[1]{\MT@SPskip#1}
\newcommand*{\SetSymSubSkip}[1]{\MT@SBskip#1}
\SetArrowSkip{0mu}
\SetBarSkip{1mu}
\SetSymSubSkip{0mu}
\SetSymSupSkip{0mu}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%    \end{macro}
%    \end{macro}
%
%    \begin{macro}{\MT@SubSkip}
%    \begin{macro}{\MT@SupSkip}
%    Define math skip lengths to insert in front of the sub- and
%    superscripts. The values are set inside the main \MT\ commands
%    according to the type of symbol.
%    \begin{macrocode}
\newmuskip\MT@SubSkip
\newmuskip\MT@SupSkip
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%
%
%    \subsection{Main \MT\ commands}
%
%    Setup command templates and lengths to function as global
%    variables and pointers.
%
%    \begin{macro}{\MT@accent}
%    The \cmd{\MT@accent} command points
%    to the math accent that are inserted as the optional argument
%    inside the main \MT\ commands.
%
%    \begin{macrocode}
\newcommand*{\MT@accent}{}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@cmd}
%    \begin{macro}{\MT@@cmd}
%    The commands \cmd{\MT@cmd} and \cmd{\MT@cmd} do the actual
%    typesetting of the symbols.
%    \begin{macrocode}
\newcommand*{\MT@cmd}{}
\newcommand*{\MT@@cmd}{}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%
%     They can be seen
%    as function pointer that are set with |\let| commands inside
%    the main \MT\ commands to point to specific commands.
%
% \newcommand{\RA}{\ensuremath{\,\mapsto\,}}
%
%    \begin{tabbing}
%    \hskip2pc\=\hskip3pc\=\hskip12pc\=\kill
%    \>\textsl{Cmd} \> \textsl{Primary command} \> \textsl{Secondary command}\\[.75ex]
%    \>|\aS|:   \>|\MT@cmd| \RA |\MT@OverAandB|,   \>|\MT@@cmd| \RA |\MT@Overarrow|\\
%    \>|\bS|:   \>|\MT@cmd| \RA |\MT@OverAandB|,   \>|\MT@@cmd| \RA |\MT@Overline|\\
%    \>|\Sa|:   \>|\MT@cmd| \RA |\MT@UnderAandB|,  \>|\MT@@cmd| \RA |\MT@Underarrow|\\
%    \>|\Sb|:   \>|\MT@cmd| \RA |\MT@UnderAandB|,  \>|\MT@@cmd| \RA |\MT@Underline|\\
%    \>|\bSb|:  \>|\MT@cmd| \RA |\MT@DoubleAandB|, \>|\MT@@cmd| \RA |\MT@@bSb| \\
%    \>|\aSb|:  \>|\MT@cmd| \RA |\MT@DoubleAandB|, \>|\MT@@cmd| \RA |\MT@@aSb|\\
%    \>|\bSa|:  \>|\MT@cmd| \RA |\MT@DoubleAandB|, \>|\MT@@cmd| \RA |\MT@@bSa| \\
%    \>|\aSa|:  \>|\MT@cmd| \RA |\MT@DoubleAandB|, \>|\MT@@cmd| \RA |\MT@@aSa|\\
%    \>|\bCSb|: \>|\MT@cmd| \RA |\MT@DoubleAandB|, \>|\MT@@cmd| \RA |\MT@@bCSb|\\
%    \>|\aCSa|: \>|\MT@cmd| \RA |\MT@DoubleAandB|, \>|\MT@@cmd| \RA |\MT@@aCSa|\\
%    \end{tabbing}
%
%
%    \begin{macro}{\MT@bold}
%    The \cmd{\MT@bold} command is used internally and set by the
%    ``starred'' command option.
%    \begin{macrocode}
\newcommand*{\MT@bold}{}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\aS}
%    Type the tensor: \aS{x}
%    \begin{macrocode}
\DeclareRobustCommand*{\aS}{%
   \let\MT@cmd=\MT@OverAandB%
   \let\MT@@cmd=\MT@Overarrow%
   \MT@SupSkip=\MT@Askip%
   \MT@SubSkip=\MT@SBskip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\bS}
%    Type the tensor: \bS{x}
%    \begin{macrocode}
\DeclareRobustCommand*{\bS}{%
   \let\MT@cmd=\MT@OverAandB%
   \let\MT@@cmd=\MT@Overline%
   \MT@SupSkip=\MT@Bskip%
   \MT@SubSkip=\MT@SBskip%
   \MT@Tensor}%
%    \end{macrocode}
%    \end{macro}
%
%
%    \begin{macro}{\Sa}
%    Type the tensor: \Sa{x}
%    \begin{macrocode}
\DeclareRobustCommand*{\Sa}{%
   \let\MT@cmd=\MT@UnderAandB%
   \let\MT@@cmd=\MT@Underarrow%
   \MT@SupSkip=\MT@SPskip%
   \MT@SubSkip=\MT@Askip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\Sb}
%    Type the tensor: \Sb{x}
%    \begin{macrocode}
\DeclareRobustCommand*{\Sb}{%
   \let\MT@cmd=\MT@UnderAandB%
   \let\MT@@cmd=\MT@Underline%
   \MT@SupSkip=\MT@SPskip%
   \MT@SubSkip=\MT@Bskip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\bSb}
%    Type the tensor: \bSb{E}
%    \begin{macrocode}
\DeclareRobustCommand*{\bSb}{%
   \let\MT@cmd=\MT@DoubleAandB%
   \let\MT@@cmd=\MT@@bSb%
   \MT@SupSkip=\MT@Bskip%
   \MT@SubSkip=\MT@Bskip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\aSb}
%    Type the tensor: \aSb{E}
%    \begin{macrocode}
\DeclareRobustCommand*{\aSb}{%
   \let\MT@cmd=\MT@DoubleAandB%
   \let\MT@@cmd=\MT@@aSb%
   \MT@SupSkip=\MT@Askip%
   \MT@SubSkip=\MT@Bskip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\bSa}
%    Type the tensor: \bSa{E}
%    \begin{macrocode}
\DeclareRobustCommand*{\bSa}{%
   \let\MT@cmd=\MT@DoubleAandB%
   \let\MT@@cmd=\MT@@bSa%
   \MT@SupSkip=\MT@Bskip%
   \MT@SubSkip=\MT@Askip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\aSa}
%    Type the tensor: \aSa{E}
%    \begin{macrocode}
\DeclareRobustCommand*{\aSa}{%
   \let\MT@cmd=\MT@DoubleAandB%
   \let\MT@@cmd=\MT@@aSa%
   \MT@SupSkip=\MT@Askip%
   \MT@SubSkip=\MT@Askip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\bCSb}
%    Type the tensor: \bCSb{\omega}
%    \begin{macrocode}
\DeclareRobustCommand*{\bCSb}{%
   \let\MT@cmd=\MT@DoubleAandB%
   \let\MT@@cmd=\MT@@bCSb%
   \MT@SupSkip=\MT@Bskip%
   \MT@SubSkip=\MT@Bskip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\aCSa}
%    Type the tensor: \aCSa{\omega}
%    \begin{macrocode}
\DeclareRobustCommand*{\aCSa}{%
   \let\MT@cmd=\MT@DoubleAandB%
   \let\MT@@cmd=\MT@@aCSa%
   \MT@SupSkip=\MT@Askip%
   \MT@SubSkip=\MT@Askip%
   \MT@Tensor}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@Tensor}
%    \changes{1.1}{2004 Jan 15}{Added to reduce overall code.}
%    \begin{macro}{\MT@@Tensor}
%    \changes{1.1}{2004 Jan 15}{Added to reduce overall code.}
%    General tensor commands to look for starred form and
%    and initiate script extraction.
%    \begin{macrocode}
\newcommand*{\MT@Tensor}{%
   \@ifstar{\let\MT@bold=\@firstofone\MT@@Tensor}
           {\let\MT@bold=\MT@SymbFnt\MT@@Tensor}}
%    \end{macrocode}
%    \begin{macrocode}
\newcommand*{\MT@@Tensor}[2][\@firstofone]{%
   \let\MT@accent=#1\relax%
   \MT@GetScripts{#2}}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%
%
%    \subsection{Sub- and superscripts}
%
%
%    \begin{macro}{\MT@GetScripts}
%    This part of the code looks ahead for sub- and superscripts.
%    \changes{1.1}{2004 Jan 15}{Add: Code to check for primes}
%    \begin{macrocode}
\newcommand*\MT@GetScripts[1]{%
   \@ifnextchar'%
      {\MT@GetPrimes{#1}{\prime}}%
      {\MT@UnprimedScripts{#1}}}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@GetPrimes}
%    \changes{1.1}{2004 Jan 15}{Add: Extract primes}
%    \begin{macro}{\MT@GetPrimedSuper}
%    \changes{1.1}{2004 Jan 15}{Add: Extract primes}
%    \begin{macro}{\MT@GetPrimedSub}
%    \changes{1.1}{2004 Jan 15}{Add: Extract primes}
%    Extract primes and look ahead for superscripts |^|. Note that
%    the sequence of operators for a primed symbol is:
%    \meta{symb}|'|$^{..}\!\!$|'^|\meta{sup}|_|\meta{sub}
%    \begin{macrocode}
\newcommand*\MT@GetPrimes[3]{%
   \@ifnextchar'%
      {\MT@GetPrimes{#1}{#2\prime}}%
      {\@ifnextchar^%
          {\MT@GetPrimedSuper{#1}{#2}}%
          {\@ifnextchar_%
              {\MT@GetPrimedSub{#1}{#2}}%
              {\MT@SetScripts{#1}{#2}{\@empty}}%
          }%
      }%
   }
%    \end{macrocode}
%    \begin{macrocode}
\def\MT@GetPrimedSuper#1#2^#3{%
   \@ifnextchar_{\MT@GetPrimedSub{#1}{#2#3}}%
                {\MT@SetScripts{#1}{#2#3}{\@empty}}}
%    \end{macrocode}
%    \begin{macrocode}
\def\MT@GetPrimedSub#1#2_#3{%
   \MT@SetScripts{#1}{#2}{#3}}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%    \end{macro}
%
%    \begin{macro}{\MT@UnprimedScripts}
%    The first extraction command for symbols without primes.
%    It looks ahead for |^| or |_|, if not present, then pass
%    \cmd{\@empty} flags forward, otherwise it passes the tokens
%    on to the next extraction commands.
%
%    \begin{macrocode}
\newcommand*\MT@UnprimedScripts[1]{%
   \@ifnextchar^%
      {\MT@GetSuper{#1}}%
         {\@ifnextchar_%
             {\MT@GetSub{#1}}%
             {\MT@SetScripts{#1}{\@empty}{\@empty}}%
         }%
   }
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@GetSuper}
%    Extract  scripts of the form \meta{Sym}|^|\meta{sup}
%    if there are no further |_| tokens available, otherwise pass the
%    tokens on to the next extraction command.
%
%    \begin{macrocode}
\def\MT@GetSuper#1^#2{%
   \@ifnextchar_{\MT@GetSuperSub{#1}{#2}}%
                {\MT@SetScripts{#1}{#2}{\@empty}}}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@GetSub}
%    Extract scripts of the form \meta{Sym}|_|\meta{sub}
%    if there are no further |^| tokens available, otherwise pass the
%    tokens on to the next extraction command.
%
%    \begin{macrocode}
\def\MT@GetSub#1_#2{%
   \@ifnextchar^{\MT@GetSubSuper{#1}{#2}}%
                {\MT@SetScripts{#1}{\@empty}{#2}}}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@GetSuperSub}
%    Extract scripts of the form
%    \meta{Sym}|^|\meta{sup}|_|\meta{sub}.
%
%    \begin{macrocode}
\def\MT@GetSuperSub#1#2_#3{%
   \MT@SetScripts{#1}{#2}{#3}}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@GetSubSuper}
%    Extract scripts of the form
%    \meta{Sym}|_|\meta{sub}|^|\meta{sup}.
%
%    \begin{macrocode}
\def\MT@GetSubSuper#1#2^#3{%
   \MT@SetScripts{#1}{#3}{#2}}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@SetSup}
%    \begin{macro}{\MT@SetSub}
%    Define global variables commands that contain the extracted
%    sub- and superscripts. These commands are redefined inside the
%    the final \cmd{\MT@SetScripts} command.
%
%    \begin{macrocode}
\newcommand*{\MT@SetSup}{}
\newcommand*{\MT@SetSub}{}
\newcommand*{\MT@SetSubS}{}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%
%    \begin{macrocode}
\newcommand*\MT@SetScripts[3]{%
  \let\MT@SetSup\relax%
  \let\MT@SetSub\relax%
  \let\MT@SetSubS\relax%
  \ifx\@empty#2\@empty\else
     \def\MT@SetSup{^{\mskip\MT@SupSkip\relax#2}}%
  \fi
  \ifx\@empty#3\@empty\else
     \def\MT@SetSub{_{\mskip\MT@SubSkip\relax#3}}%
     \def\MT@SetSubS{^{}_{\mskip\MT@SubSkip\relax#3}}%
  \fi
  \ensuremath{\MT@cmd{#1}}}
%    \end{macrocode}
%
%
%
%    \subsection{Symbol formatting}
%
%    \begin{macro}{\MT@Symb}
%    This command type |{|\meta{strut}\meta{font-cmd}\meta{symb}|}|,
%    the formatted symbol preceded by the selected strut. It is called
%    from within the main typesetting commands.
%
%    \begin{macrocode}
\newcommand*{\MT@Symb}[1]{\MT@SymbStrt\MT@bold#1}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@SymbC}
%    Puts a widetilde over the symbol for the cross product tensors.
%    \begin{macrocode}
\newcommand*{\MT@SymbC}[1]{%
   \MT@SymbStrt\widetilde{%
   \MT@bold#1}}
%    \end{macrocode}
%    \end{macro}
%
%
%    \subsection{Main typesetting commands}
%
%    The commands in this section are the ones pointed to by
%    the \cmd{\MT@cmd} and \cmd{\MT@@cmd} commands to perform
%    the typesetting of the full tensor symbol.
%
%    Declare some save boxes
%    \begin{macrocode}
\newsavebox{\MT@Abox}   % for overline/arrow
\newsavebox{\MT@Sbox}   % for symbol
\newsavebox{\MT@Tbox}   % for tempories
\newsavebox{\MT@APbox}  % for overline/arrow phantom
\newsavebox{\MT@SPbox}  % for symbol phantom
%    \end{macrocode}
%    and some lengths.
%    \begin{macrocode}
\newlength{\MT@SPwdth}  % symbol width
\newlength{\MT@BPwdth}  % Bar width
\newlength{\MT@Wwdth}   % leading whitespace width
%    \end{macrocode}
%
%    \begin{macro}{\MT@OverAandB}
%    This command generates the tensor symbols \aS{e}{} and \bS{e}.
%    It utilizes the \cmd{\mathpalette} macro for the sizing of the
%    final tensor. \LaTeX{} commands \cmd{\smash} and \cmd{\phantom}
%    with embedded \cmd{\mathpalette} calls are avoided to prevent
%    nested \cmd{\mathchoice} calls.
%    \begin{macrocode}
\newcommand*{\MT@OverAandB}{%
   \mathpalette\MT@@OverAandB}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@@OverAandB}
%    \changes{1.2}{2004 Jan 27}{Use \cmd{\xusebox} inside accent
%             to account for \cmd{\dddot}.}
%    For this command the first parameter |#1| is supplied by
%    \cmd{\mathpalette} and consists of math styles \cmd{\displaystyle},
%    \cmd{\textstyle}, etc.  The second parameter |#2| is the original
%    \meta{symbol} from the call \cmd{\MT@cmd}|{|\meta{symbol}|}|.
%
%    \begin{macrocode}
\newcommand*{\MT@@OverAandB}[2]{%
%    \end{macrocode}
%    \begin{Indent}{5em}
%    Set the symbol inside a box for measurement purposes.
%    \end{Indent}
%    \begin{macrocode}
      \sbox{\MT@Tbox}{$\m@th#1\MT@Symb{#2}$}%
%    \end{macrocode}
%    \begin{Indent}{5em}
%    Make phantom symbol box (empty) with size identical to symbol.
%    \end{Indent}
%    \begin{macrocode}
      \setbox\MT@SPbox\null%
      \ht\MT@SPbox\ht\MT@Tbox%
      \dp\MT@SPbox\dp\MT@Tbox%
      \wd\MT@SPbox\wd\MT@Tbox%
%    \end{macrocode}
%    \begin{Indent}{5em}
%    Make overline/overarrow over phantom symbol box for measurement.
%    \end{Indent}
%    \begin{macrocode}
      \sbox{\MT@APbox}{$\m@th\MT@@cmd{#1}{\copy\MT@SPbox}$}%
%    \end{macrocode}
%    \begin{Indent}{5em}
%    Calculate width difference between symbol and arrow/overline.
%    \end{Indent}
%    \begin{macrocode}
      \setlength{\MT@Wwdth}{\the\wd\MT@APbox}%
      \addtolength{\MT@Wwdth}{-\the\wd\MT@SPbox}%
%    \end{macrocode}
%    \begin{Indent}{5em}
%    Make final symbol box with white space in front to center is
%    beneath the arrow/over line and subscript that follows.
%    \end{Indent}
%    \begin{macrocode}
      \sbox{\MT@Sbox}{$\m@th#1\hskip 0.5\MT@Wwdth\relax\MT@Symb{#2}\MT@SetSubS$}%
%    \end{macrocode}
%    \begin{Indent}{5em}
%    Add math accent to overline/overarrow and reset box dimensions to
%    original.
%    \end{Indent}
%    \begin{macrocode}
      \sbox{\MT@Tbox}{$\m@th#1\MT@accent{\xusebox{\MT@APbox}}$}%
      \ht\MT@Tbox\ht\MT@APbox%
      \dp\MT@Tbox\dp\MT@APbox%
%    \end{macrocode}
%    \begin{Indent}{5em}
%    Final overline/overarrow box including accent and superscript at end.
%    \end{Indent}
%    \begin{macrocode}
      \sbox{\MT@Abox}{$\m@th#1\xusebox{\MT@Tbox}\MT@SetSup$}%
%    \end{macrocode}
%    \begin{Indent}{5em}
%    Overtype the symbol and the overline/overarrow boxes. The wider
%    box of the two is typed last to ensure that the spacing after
%    the full tensor symbol is correct.
%    \end{Indent}
%    \begin{macrocode}
      \ifdim\wd\MT@Abox<\wd\MT@Sbox%
          \leavevmode\rlap{\usebox\MT@Abox}{\usebox\MT@Sbox}%
      \else%
          \leavevmode\rlap{\usebox\MT@Sbox}{\usebox\MT@Abox}%
      \fi}
%    \end{macrocode}
%    \end{macro}
%
%    \begin{macro}{\MT@UnderAandB}
%    \begin{macro}{\MT@@UnderAandB}
%    \changes{1.2}{2004 Jan 27}{Make provisions for wide accents (\cmd{\dddot}).}
%    This command generates the tensor symbols \Sa{e}{} and \Sb{e}.
%    It is identical to the previous command except the sub- and
%    superscripts are swapped and the phantom box is set to the width
%    of the accent.
%    \begin{macrocode}
\newcommand*{\MT@UnderAandB}{%
   \mathpalette\MT@@UnderAandB}
%    \end{macrocode}
%    \begin{macrocode}
\newcommand*{\MT@@UnderAandB}[2]{%
      \sbox{\MT@Tbox}{$\m@th#1\MT@accent{\MT@Symb{#2}}$}%
      \setbox\MT@SPbox\null%
      \wd\MT@SPbox\wd\MT@Tbox%
      \sbox{\MT@Tbox}{$\m@th#1\MT@Symb{#2}$}%
      \ht\MT@SPbox\ht\MT@Tbox%
      \dp\MT@SPbox\dp\MT@Tbox%
      \sbox{\MT@APbox}{$\m@th\MT@@cmd{#1}{\copy\MT@SPbox}$}%
      \setlength{\MT@Wwdth}{\the\wd\MT@APbox}%
      \addtolength{\MT@Wwdth}{-\the\wd\MT@SPbox}%
      \sbox{\MT@Sbox}{$\m@th#1%
         \hskip 0.5\MT@Wwdth\relax\MT@accent{\MT@Symb{#2}}\MT@SetSup$}%
      \sbox{\MT@Abox}{$\m@th#1\xusebox{\MT@APbox}\MT@SetSub$}%
      \ifdim\wd\MT@Abox<\wd\MT@Sbox%
         \leavevmode\rlap{\usebox\MT@Abox}{\usebox\MT@Sbox}%
      \else%
         \leavevmode\rlap{\usebox\MT@Sbox}{\usebox\MT@Abox}%
      \fi}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%    \begin{macro}{\MT@@bSb}
%    \begin{macro}{\MT@@bSa}
%    \begin{macro}{\MT@@aSb}
%    \begin{macro}{\MT@@aSa}
%    \begin{macro}{\MT@@bCSb}
%    \begin{macro}{\MT@@aCSa}
%    These commands are pointed to by \cmd{\MT@@cmd} and called from
%    within \cmd{\MT@DoubleAandB}. It has the same calling syntax as
%    the \cmd{\MT@Overarrow} and \cmd{\MT@Underarrow} commands.
%    \begin{macrocode}
\newcommand*{\MT@@bSb}[2]{\MT@Overline{#1}{\MT@Underline{#1}{\MT@Symb{#2}}}}
\newcommand*{\MT@@aSb}[2]{\MT@Overarrow{#1}{\MT@Underline{#1}{\MT@Symb{#2}}}}
\newcommand*{\MT@@bSa}[2]{\MT@Overline{#1}{\MT@Underarrow{#1}{\MT@Symb{#2}}}}
\newcommand*{\MT@@aSa}[2]{\MT@Overarrow{#1}{\MT@Underarrow{#1}{\MT@Symb{#2}}}}
\newcommand*{\MT@@bCSb}[2]{\MT@Overline{#1}{\MT@Underline{#1}{\MT@SymbC{#2}}}}
\newcommand*{\MT@@aCSa}[2]{\MT@Overarrow{#1}{\MT@Underarrow{#1}{\MT@SymbC{#2}}}}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%    \end{macro}
%    \end{macro}
%    \end{macro}
%    \end{macro}
%
%    \begin{macro}{\MT@DoubleAandB}
%    \begin{macro}{\MT@@DoubleAandB}
%    \changes{1.2}{2004 Jan 27}{Use \cmd{\xusebox} inside accent
%             to account for \cmd{\dddot}.}
%    This command is used for the remaining tensor symbols and is not
%    so complex compared to the previous commands.
%
%    \begin{macrocode}
\newcommand*{\MT@DoubleAandB}{%
  \mathpalette\MT@@DoubleAandB}
%    \end{macrocode}
%    \begin{macrocode}
\newcommand*{\MT@@DoubleAandB}[2]{%
      \sbox{\MT@Abox}{$\m@th#1\MT@@cmd{#1}{#2}$}%
      \sbox{\MT@Tbox}{$\m@th#1\MT@accent{\xusebox{\MT@Abox}}$}%
      \ht\MT@Tbox\ht\MT@Abox%
      \dp\MT@Tbox\dp\MT@Abox%
      \xusebox{\MT@Tbox}\MT@SetSup\MT@SetSub}
%    \end{macrocode}
%    \end{macro}
%    \end{macro}
%
%
%    \changes{1.1}{2004 Jan 15}{Code: Remove helper commands}
%    \begin{macrocode}
%</package>
%    \end{macrocode}
% \clearpage
% \Finale
% \setcounter{IndexColumns}{2}\PrintIndex
% \PrintChanges
%
\endinput
