Although, formally, mathematics is clear that a function is a single-valued object, mathematical practice is looser, particularly with n-th roots and various inverse functions. In this paper, we point out some of the looseness, and ask what the implications are, both for Artificial Intelligence and Symbolic Computation, of these practices. In doing so, we look at the steps necessary to convert existing texts into (a) rigorous statements (b) rigorously proved statements. In particular we ask whether there might be a constant "de Bruijn factor" [18] as we make these texts more formal, and conclude that the answer depends greatly on the interpretation being placed on the symbols. © 2010 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Davenport, J. H. (2010). The challenges of multivalued “Functions.” In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6167 LNAI, pp. 1–12). https://doi.org/10.1007/978-3-642-14128-7_1
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