Levi-Civita field

noun

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.

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Meanings

nounLevi-Civita field (plural Levi-Civita fields)

plural Levi-Civita fields

  1. mathematicsA 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.

Origin

Named after Tullio Levi-Civita.

Full word history & related roots →
Cite this entry
APA

Levi-Civita field. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Levi-Civita%20field

MLA

“Levi-Civita field.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Levi-Civita%20field. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Levi-Civita field,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Levi-Civita%20field.

Source: Levi-Civita field on Wiktionary, CC BY-SA 4.0.