See ordered field in All languages combined, or Wiktionary
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"glosses": [
"A field which has an order relation satisfying these properties: trichotomy, transitivity, preservation of an inequality when the same element is added to both sides, and preservation of an inequality when the same strictly positive element is multiplied to both sides."
],
"hypernyms": [
{
"word": "field"
},
{
"word": "ordered integral domain"
}
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"hyponyms": [
{
"sense": "Archimedean ordered field",
"word": "real number system"
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{
"word": "Euclidean field"
}
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"(algebra) A field which has an order relation satisfying these properties: trichotomy, transitivity, preservation of an inequality when the same element is added to both sides, and preservation of an inequality when the same strictly positive element is multiplied to both sides."
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"code": "pt",
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"sense": "field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides",
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"word": "corp ordonat"
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"word": "ordered field"
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"word": "ordered field"
}
Download raw JSONL data for ordered field meaning in English (2.0kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.
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