Levi-Civita field

English

Etymology

Named after Template:W.

Noun

1. Template:Lb A non-Archimedean ordered field whose every member $a$ can be constructed as a formal series of the form $a=\sum _{q\in \mathbb{Q}}{a}_q{\epsilon }^q,$ where $a_q$ are real numbers, $\mathbb{Q}$ is the set of rational numbers, and $\epsilon$ is to be interpreted as a fixed positive infinitesimal.