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math.CA2016
Convergences and the Intermediate Value Property in Fermat Reals
Enxin Wu
This paper contains two topics of Fermat reals, as suggested by the title. In the first part, we study the ω-topology, the order topology and the Euclidean topology on Fermat reals…
math.CA2015
Calculus in the ring of Fermat reals Part I: Integral calculus
Paolo Giordano, Enxin Wu
We develop the integral calculus for quasi-standard smooth functions defined on the ring of Fermat reals. The approach is by proving the existence and uniqueness of primitives. Bes…