See open ball in All languages combined, or Wiktionary
Download JSON data for open ball meaning in English (1.6kB)
{
"forms": [
{
"form": "open balls",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "open ball (plural open balls)",
"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": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Topology",
"orig": "en:Topology",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"The set of all points in a metric space whose distance from a given point (\"the open ball's center\") is less than a given length (\"the open ball's radius\")."
],
"holonyms": [
{
"word": "open set"
}
],
"id": "en-open_ball-en-noun-HNaMhL1l",
"links": [
[
"topology",
"topology"
],
[
"mathematical analysis",
"mathematical analysis"
],
[
"set",
"set"
],
[
"points",
"points"
],
[
"metric space",
"metric space"
],
[
"distance",
"distance"
],
[
"center",
"center"
],
[
"radius",
"radius"
]
],
"qualifier": "restricted to metric spaces",
"raw_glosses": [
"(topology, mathematical analysis, restricted to metric spaces) The set of all points in a metric space whose distance from a given point (\"the open ball's center\") is less than a given length (\"the open ball's radius\")."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences",
"topology"
]
}
],
"word": "open ball"
}
{
"forms": [
{
"form": "open balls",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "open ball (plural open balls)",
"name": "en-noun"
}
],
"holonyms": [
{
"word": "open set"
}
],
"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",
"en:Mathematical analysis",
"en:Topology"
],
"glosses": [
"The set of all points in a metric space whose distance from a given point (\"the open ball's center\") is less than a given length (\"the open ball's radius\")."
],
"links": [
[
"topology",
"topology"
],
[
"mathematical analysis",
"mathematical analysis"
],
[
"set",
"set"
],
[
"points",
"points"
],
[
"metric space",
"metric space"
],
[
"distance",
"distance"
],
[
"center",
"center"
],
[
"radius",
"radius"
]
],
"qualifier": "restricted to metric spaces",
"raw_glosses": [
"(topology, mathematical analysis, restricted to metric spaces) The set of all points in a metric space whose distance from a given point (\"the open ball's center\") is less than a given length (\"the open ball's radius\")."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences",
"topology"
]
}
],
"word": "open ball"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.