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math.GM2020★ 2 cited
The Compositional Integral: The Narrow And The Complex Looking-Glass
James David Nixon
The goal of this paper is to formalize the notion of The Compositional Integral in The Complex Plane. We prove a convergence theorem guaranteeing its existence. We prove an analogu…
math.HO2020★ 1 cited
The Compositional Integral: A Brief Introduction
James David Nixon
The Compositional Integral is defined, formally constructed, and discussed. A direct generalization of Riemann's construction of the integral; it is intended as an alternative way…