Levi-Civita field

English dictionary entry

Meanings

noun
  1. A non-Archimedean ordered field whose every member a can be constructed as a formal series of the form a=∑_(q∈ℚ)a_qε^q, where a_q are real numbers, ℚ is the set of rational numbers, and ε is to be interpreted as a fixed positive infinitesimal.

Word forms

Levi-Civita field Levi-Civita fields

Etymology

Named after Tullio Levi-Civita.

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