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+%%
+%% The LaTeX Companion, 3ed
+%%
+%% Example A-1-5 on page II-626 in "Defining simple commands".
+%%
+%% Copyright (C) 2022 Frank Mittelbach
+%%
+%% It may be distributed and/or modified under the conditions
+%% of the LaTeX Project Public License, either version 1.3c
+%% of this license or (at your option) any later version.
+%%
+%% See https://www.latex-project.org/lppl.txt for details.
+%%
+
+\documentclass{tlc3exa}
+\pagestyle{empty}
+\setcounter{page}{6}
+\setlength\textwidth{123.0pt}
+%StartShownPreambleCommands
+\newcommand\xvec{\ensuremath{x_1,\ldots,x_n}}
+%StopShownPreambleCommands
+
+\begin{document}
+The series of \xvec\ or $\xvec+G_{\xvec}$ \par
+\renewcommand\xvec[2]{\ensuremath{#1_1,\ldots,#1_{#2}}}
+The series of \xvec{x}{n} or $\xvec{y}{k}+G_{\xvec{z}{4}}$
+\end{document}