"Levi-Civita field" meaning in All languages combined

See Levi-Civita field on Wiktionary

Noun [English]

Forms: Levi-Civita fields [plural]
Etymology: Named after Tullio Levi-Civita. Head templates: {{en-noun}} Levi-Civita field (plural Levi-Civita fields)
  1. (mathematics) 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. Wikipedia link: Tullio Levi-Civita Categories (topical): Mathematics

Inflected forms

Download JSON data for Levi-Civita field meaning in All languages combined (1.8kB)

{
  "etymology_text": "Named after Tullio Levi-Civita.",
  "forms": [
    {
      "form": "Levi-Civita fields",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
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          "name": "English entries with incorrect language header",
          "parents": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "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."
      ],
      "id": "en-Levi-Civita_field-en-noun-CjPdr18E",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "rational number",
          "rational number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) 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."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Tullio Levi-Civita"
      ]
    }
  ],
  "word": "Levi-Civita field"
}
{
  "etymology_text": "Named after Tullio Levi-Civita.",
  "forms": [
    {
      "form": "Levi-Civita fields",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Levi-Civita field (plural Levi-Civita fields)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "glosses": [
        "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."
      ],
      "links": [
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      "raw_glosses": [
        "(mathematics) 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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        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Tullio Levi-Civita"
      ]
    }
  ],
  "word": "Levi-Civita field"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.