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-%
-% Copyright (C) 1998-2019 Javier Bezos http://www.texnia.com
-%
-% This file may be distributed and/or modified under the conditions of
-% the MIT License. A version can be found at the end of this file.
-%
-
-\def\fileversion{1.1}
-\def\docdate{August 7, 2000}
-
-\documentclass{ltxguide}
-\usepackage{tensind}
-
-\title{The \textsf{tensind} Package for
-Tensorial Indexes\footnote{This
-package is currently at version 1.1.}}
-
-\author{Javier Bezos\footnote{For bug reports, comments and
-suggestions go to
-\texttt{http://www.tex-tipografia.com}.
-English is not my strong point, so contact me when you
-find mistakes in the manual. Other packages by the same author:
-\textsf{accents, titlesec, dotlessi}.}}
-
-\date{\docdate}
-
-\newenvironment{sample}{\begin{quote}\small\begin{tabbing}%
- \hskip12pc\=\hskip6pc\\}
- {\end{tabbing}\end{quote}}
-
-\tensordelimiter{?}
-\tensorformat{lrb}
-
-\raggedright
-
-\begin{document}
-
-\maketitle
-
-This package provides typographically fine tensorial notation, with the
-following features:
-\begin{itemize}
-\item Dots filling gaps.
-\item Symbol subtitution to easy typing (if you are using greek letters, for
-example).
-\item Corrected position of indexes: horizontally, to compensate the small
-displacement in letters
-like $f$ (look carefully at $f_*^*$) and vertically, to avoid superscripts
-too raised.
-\item Aditional minute corrections are also allowed.
-\end{itemize}
-
-\section{User Interface}
-
-\begin{decl}
-|\tensordelimiter{<tensor-delim>}|
-\end{decl}
-
-Defines |<tensor-delim>| to be a tensor delimiter. In subsequent examples we will
-assume
-\begin{verbatim}
-\tensordelimiter{?}
-\end{verbatim}
-and every instance of |?| will actually mean |<tensor-delim>|.
-
-\begin{decl}
-|?[<format>]{<nucleous>}{<special-index>}{<special-index>}...|\\
-| <super-or-sub><super-or-sub>...?|
-\end{decl}
-
-Creates a tensor. |<super-or-sub>| is either |_{<index>}{<index>}...| or
-|^{<index>}{<index>}|.
-|<nucleous>| is the symbol which indexes will be add to. |<special-index>| is a
-superscript which is neither covariant nor contravariant (dual,
-prime...). In
-one-letter |<index>|, |<special-index>| or |<nucleous>|, curly braces can be
-omitted.
-For example:
-\begin{sample}
-|?R_ij^kl_\alpha^\beta?| \> $?R_ij^kl_\alpha^\beta?$\\[2pt]
-|?R^ij_kl^\alpha_\beta?| \> $?R^ij_kl^\alpha_\beta?$\\[2pt]
-|?R**_ij^kl_\alpha^\beta?| \> $?R**_ij^kl_\alpha^\beta?$\\[2pt]
-|?R**^ij_kl^\alpha_\beta?| \> $?R**^ij_kl^\alpha_\beta?$
-\end{sample}
-
-(\emph{Don't forget the closing |?|!})
-Finally, |<format>| changes the format in a tensor. (See |\tensorformat|
-below.)
-
-\begin{decl}
-|\tensorformat{<format>}|
-\end{decl}
-
-The following letter may be used in format.
-\begin{itemize}
-\item[\texttt{l}] Gaps to the left of the last index are filled with dots.
-\item[\texttt{r}] Gaps to the right of the first index are filled.
-\item[\texttt{e}] If there is no index (empty), gaps are filled.
-\item[\texttt{b}] Only gaps in subscripts are filled.
-\end{itemize}
-
-Sensible settings are: none (no dots), |l| and |lrb|.
-Further options are:
-\begin{itemize}
-\item[\texttt{c}] Brings index lines closer.
-\item[\texttt{o}] Opens index lines.
-\item[\texttt{s}] Styled. |o| in display style and |c| otherwise.
-\end{itemize}
-These options are mutually exclusive. If none of them is
-used, then indexes behave in a similar way to standard ones.
-This document sets
-\begin{verbatim}
-\tensorformat{lrb}
-\end{verbatim}
-
-\begin{sample}
-|?[]f\prime_ij^kl?| \> $?[]f\prime_ij^kl?$\\[2pt]
-|?[e]f^ij?| \> $?[e]f^ij?$ \\[2pt]
-|?[l]f*_ij^kl?| \> $?[l]f*_ij^kl?$\\[2pt]
-|?[c]R^ij_kl?| \> $?[c]R^ij_kl?$
-\end{sample}
-
-\begin{decl}
-|\indexdot|
-\end{decl}
-
-This macro is the index dot. Defined to |\cdot|. You can
-redefine it with |\renewcommand|.
-
-\begin{decl}
-|\whenindex{<index>}{<new-index>}{<commands>}|
-\end{decl}
-
-Automatically replaces |<index>| (if not enclosed in braces)
-by |<new-index>| and the additional |<commands>| are
-executed. For example, if you like to use greek indexes:
-\begin{verbatim}
-\whenindex{a}{\alpha}{}
-\whenindex{b}{\beta}{}
-\whenindex{g}{\gamma}{}
-\end{verbatim}
-
-\whenindex{a}{\alpha}{}
-\whenindex{b}{\beta}{}
-\whenindex{g}{\gamma}{
-}
-A |\whenindex{'}{\prime}{}| is performed by the package. For instance
-\begin{sample}
-|?R'_ijk^abg?| \> $?R'_ijk^abg?$
-\end{sample}
-
-In |<commands>|, two command for space fine-tuning are provided:
-|\sbadjust{<index>}{<comma-space>}| adds |<comma-space>| times
-|\,| before the current subscript index if the last superscript index
-was |<index>|. Similarly, |\spadjust| adds the space before the current
-superscript index if the last subscript index was |<index>|.
-For instance, the normal result of |?[]R^ik_lm?| is $?[]R^ij_kl?$, but
-with
-\begin{verbatim}
-\whenindex{k}{k}{\sbadjust{j}{-1}}
-\end{verbatim}
-\whenindex{k}{k}{\sbadjust{j}{-1}}
-is $?[]R^ij_kl?$.
-These commands will be ignored if dots are used.
-
-Two further command allowed in |\whenindex|
-are: |\omitdot| omits the dot for the current
-index, and |\finishdots| omits as well all subsequent indexes.
-For example
-\begin{verbatim}
-\whenindex{;}{\,;\,}{\finishdots}
-\end{verbatim}
-\whenindex{;}{\,;\,}{\finishdots}
-
-\begin{sample}
-|?[lr]A*_i^kl;i?| \> $?[lr]A*_i^kl;i?$
-\end{sample}
-
-\begin{decl}
-|tensor|
-\end{decl}
-
-The environment called by |?...?|. Useful if for some reason you
-don't want an equivalent defined with |\tensordelimiter| . Example:
-\begin{verbatim}
-\begin{tensor}[lr]A*_i^kl;i\end{tensor}
-\end{verbatim}
-
-\end{document}
-
-MIT License
------------
-
-Permission is hereby granted, free of charge, to any person obtaining a
-copy of this software and associated documentation files (the
-"Software"), to deal in the Software without restriction, including
-without limitation the rights to use, copy, modify, merge, publish,
-distribute, sublicense, and/or sell copies of the Software, and to
-permit persons to whom the Software is furnished to do so, subject to
-the following conditions:
-
-The above copyright notice and this permission notice shall be included
-in all copies or substantial portions of the Software.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
-OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
-MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
-IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
-CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
-TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
-SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.