A machine executable generalized inner product and its applications

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Abstract

The conventional inner product operation involves two primative arithmetic functions: plus (+) and times (×). In this paper we describe APL's generalization of this operation. This is a machine executable operator which accepts any pair of compatible arithmetic, relational and logical functions as arguments. We also demonstrate its application to a number of problems.

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This work was partially supported by an ARC Grant # SG689011.