Abstract
Since the Second Symposium on Symbolic and Algebraic Manipulation (1971) with the development of many algebraic manipulation systems, there has been demand for an «efficiency measurement» for these systems. Some of the frequently used systems, asAltran andCamal, provide for numerical encodings of polynomials and of rational functions. This kind of representation for algebraic structures is particularly useful from the space saving point of view. This paper introduces a methodology for comparing different kinds of encodings for monomials, and hence for polynomials. This new methodological approach to the evaluation of the encodings uses four criteria, which are related both to static and dynamic aspects for algebraic data structures processing. The set of monomials withn variables is considered as a vector space and its topology is discussed. In order to exemplify our approach two particular encodings are considered. According to the proposed criteria it will be shown how the so-called encoding by juxtaposition can be considered very good. A direction for possible development is also presented.
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