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date: 21 February 2020

Abstract and Keywords

This chapter examines Leibniz’s determinant theory and analyzes the contribution of ars characteristica, ars combinatoria, and ars inveniendi to this theory. It explains that the art of inventing suitable characters led to numerical double indices while the combinatorial art helped to represent a determinant as a sum. Moreover, the chapter discusses inhomogeneous systems of linear equations and the elimination of a common variable in the determinant theory. It also explores Leibniz’s work related to symmetric functions, dyadic, and duodecimal number system.

Keywords: determinant theory, Gottfried Wilhelm von Leibniz, numerical double indices, combinatorial art, inhomogeneous systems, linear equations, common variable, symmetric functions, dyadic, duodecimal number system

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