The intuitive properties of configurations of planar non-overlapping closed curves (boundaries) are presented as a pure boundary mathematics. The mathematics, which is not incorporated in any existing formalism, is constructed from first principles, that is, from empty space. When formulated as pattern-equations, boundary algebras map to elementary logic and to integer arithmetic. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Bricken, W. (2006). The mathematics of boundaries: A beginning. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4045 LNAI, pp. 70–72). Springer Verlag. https://doi.org/10.1007/11783183_8
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