From e0c6872cf40896c7be36b11dcc744620f10adf1d Mon Sep 17 00:00:00 2001
From: Norbert Preining <norbert@preining.info>
Date: Mon, 2 Sep 2019 13:46:59 +0900
Subject: Initial commit

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 macros/latex/contrib/tensind/tensind.tex | 211 +++++++++++++++++++++++++++++++
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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.
-- 
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