See monotone convergence theorem in All languages combined, or Wiktionary
{
"head_templates": [
{
"args": {},
"expansion": "monotone convergence theorem",
"name": "en-prop"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"derived": [
{
"tags": [
"abbreviation"
],
"word": "MCT"
}
],
"glosses": [
"A theorem which states that any sequence which is monotonic (either increasing or decreasing) and bounded is convergent."
],
"id": "en-monotone_convergence_theorem-en-name-QIBzq4Y4",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"theorem",
"theorem"
],
[
"sequence",
"sequence"
],
[
"monotonic",
"monotonic"
],
[
"increasing",
"increasing"
],
[
"decreasing",
"decreasing"
],
[
"bounded",
"bounded"
],
[
"convergent",
"convergent"
]
],
"raw_glosses": [
"(mathematical analysis) A theorem which states that any sequence which is monotonic (either increasing or decreasing) and bounded is convergent."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"wikipedia": [
"monotone convergence theorem"
]
}
],
"word": "monotone convergence theorem"
}
{
"derived": [
{
"tags": [
"abbreviation"
],
"word": "MCT"
}
],
"head_templates": [
{
"args": {},
"expansion": "monotone convergence theorem",
"name": "en-prop"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English proper nouns",
"English uncountable nouns",
"Pages with 1 entry",
"Pages with entries",
"en:Mathematical analysis"
],
"glosses": [
"A theorem which states that any sequence which is monotonic (either increasing or decreasing) and bounded is convergent."
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"theorem",
"theorem"
],
[
"sequence",
"sequence"
],
[
"monotonic",
"monotonic"
],
[
"increasing",
"increasing"
],
[
"decreasing",
"decreasing"
],
[
"bounded",
"bounded"
],
[
"convergent",
"convergent"
]
],
"raw_glosses": [
"(mathematical analysis) A theorem which states that any sequence which is monotonic (either increasing or decreasing) and bounded is convergent."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"wikipedia": [
"monotone convergence theorem"
]
}
],
"word": "monotone convergence theorem"
}
Download raw JSONL data for monotone convergence theorem meaning in English (1.1kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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.