Levi-Civita field

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English

English Wikipedia has an article on:

Levi-Civita field

Etymology

Named after Tullio Levi-Civita.

Noun

Levi-Civita field (plural Levi-Civita fields)

(mathematics) A non-Archimedean ordered field whose every member $a$ can be constructed as a formal series of the form $a=\sum _{q\in \mathbb {Q} }a_{q}\varepsilon ^{q},$ where $a_{q}$ are real numbers, $\mathbb {Q}$ is the set of rational numbers, and $\varepsilon$ is to be interpreted as a fixed positive infinitesimal.

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