Levi-Civita field
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.
Noun
Levi-Civita field (plural Levi-Civita fields)
- 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.
Forms of Levi-Civita field
| plural | Levi-Civita fields |
|---|
Origin of Levi-Civita field
Named after Tullio Levi-Civita.
Questions about Levi-Civita field
- What does Levi-Civita field mean?
- Levi-Civita field means 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.
- What part of speech is Levi-Civita field?
- Levi-Civita field is a noun.
- What is the plural of Levi-Civita field?
- The plural of Levi-Civita field is Levi-Civita fields.
Words near Levi-Civita field in the dictionary
Source and license
Adapted from Wiktionary: Levi-Civita field (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “Levi-Civita field.” Word.ws, https://word.ws/levi-civita_field. Based on Wiktionary, CC BY-SA 4.0.
