See open interval in All languages combined, or Wiktionary
Download JSON data for open interval meaning in English (2.4kB)
{
"forms": [
{
"form": "open intervals",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "open interval (plural open intervals)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Mandarin terms with redundant transliterations",
"parents": [
"Terms with redundant transliterations",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers."
],
"holonyms": [
{
"word": "open rectangle"
},
{
"word": "open box"
}
],
"hypernyms": [
{
"word": "interval"
}
],
"id": "en-open_interval-en-noun--1cUznYF",
"links": [
[
"mathematics",
"mathematics"
],
[
"interval",
"interval"
],
[
"real number line",
"real number line"
],
[
"contain",
"contain"
],
[
"supremum",
"supremum"
],
[
"infimum",
"infimum"
],
[
"specified",
"specified"
],
[
"pair",
"pair"
],
[
"real number",
"real number"
],
[
"consist",
"consist"
],
[
"point",
"point"
],
[
"real line",
"real line"
],
[
"value",
"value"
],
[
"strictly",
"strictly"
]
],
"raw_glosses": [
"(mathematics) An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers."
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "Translations",
"word": "開區間"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "kāiqūjiān",
"sense": "Translations",
"word": "开区间"
},
{
"code": "cs",
"lang": "Czech",
"sense": "Translations",
"tags": [
"masculine"
],
"word": "otevřený interval"
},
{
"code": "ko",
"lang": "Korean",
"roman": "yeollin'gugan",
"sense": "Translations",
"word": "열린구간"
},
{
"code": "ko",
"lang": "Korean",
"roman": "gaegugan",
"sense": "Translations",
"word": "개구간"
}
]
}
],
"word": "open interval"
}
{
"forms": [
{
"form": "open intervals",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "open interval (plural open intervals)",
"name": "en-noun"
}
],
"holonyms": [
{
"word": "open rectangle"
},
{
"word": "open box"
}
],
"hypernyms": [
{
"word": "interval"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Mandarin terms with redundant transliterations",
"Translation table header lacks gloss",
"en:Mathematics"
],
"glosses": [
"An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"interval",
"interval"
],
[
"real number line",
"real number line"
],
[
"contain",
"contain"
],
[
"supremum",
"supremum"
],
[
"infimum",
"infimum"
],
[
"specified",
"specified"
],
[
"pair",
"pair"
],
[
"real number",
"real number"
],
[
"consist",
"consist"
],
[
"point",
"point"
],
[
"real line",
"real line"
],
[
"value",
"value"
],
[
"strictly",
"strictly"
]
],
"raw_glosses": [
"(mathematics) An interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "Translations",
"word": "開區間"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "kāiqūjiān",
"sense": "Translations",
"word": "开区间"
},
{
"code": "cs",
"lang": "Czech",
"sense": "Translations",
"tags": [
"masculine"
],
"word": "otevřený interval"
},
{
"code": "ko",
"lang": "Korean",
"roman": "yeollin'gugan",
"sense": "Translations",
"word": "열린구간"
},
{
"code": "ko",
"lang": "Korean",
"roman": "gaegugan",
"sense": "Translations",
"word": "개구간"
}
],
"word": "open interval"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.