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- \chapter*{Abstract}
- \addcontentsline{toc}{chapter}{Abstract}
- This document provides the user with a description of the algebraic
- programming system {\REDUCE}. The capabilities of this system include:
- \begin{enumerate}
- \item expansion and ordering of polynomials and rational functions,
- \item substitutions and pattern matching in a wide variety of forms,
- \item automatic and user controlled simplification of expressions,
- \item calculations with symbolic matrices,
- \item arbitrary precision integer and real arithmetic,
- \item facilities for defining new functions and extending program syntax,
- \item analytic differentiation and integration,
- \item factorization of polynomials,
- \item facilities for the solution of a variety of algebraic equations,
- \item facilities for the output of expressions in a variety of formats,
- \item facilities for generating numerical programs from symbolic input,
- \item Dirac matrix calculations of interest to high energy physicists.
- \end{enumerate}
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