See Levi-Civita field on Wiktionary
{
"etymology_text": "Named after Tullio Levi-Civita.",
"forms": [
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"form": "Levi-Civita fields",
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"lang_code": "en",
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"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."
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"id": "en-Levi-Civita_field-en-noun-CjPdr18E",
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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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"wikipedia": [
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],
"word": "Levi-Civita field"
}
{
"etymology_text": "Named after Tullio Levi-Civita.",
"forms": [
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"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."
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"(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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"word": "Levi-Civita field"
}
Download raw JSONL data for Levi-Civita field meaning in All languages combined (1.3kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.