Hyper-Real and Infinitesimal Analysis
preprint
OA: closed
CC-BY-4.0
Abstract
Something about non-standard analysis is bothersome. Namely the deletion of epsilons when they were such a valuable tool. In this work we build on nonstandard analysis and generalize the dual numbers. This gives rise to a nontrivial example of a super space by generalizing the dual numbers.
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Source provenance
- europepmc
- last seen: 2026-05-20T01:45:00.602351+00:00
- unpaywall
- last seen: 2026-05-27T02:00:06.600101+00:00
License: CC-BY-4.0