See Popoviciu's inequality on Wiktionary
{
"etymology_templates": [
{
"args": {
"1": "mathematician",
"2": "",
"3": "",
"4": "",
"5": ""
},
"expansion": "mathematician",
"name": "named-after/list"
},
{
"args": {
"1": "en",
"2": "Tiberiu Popoviciu"
},
"expansion": "Tiberiu Popoviciu",
"name": "lang"
},
{
"args": {
"1": "en",
"2": "Tiberiu Popoviciu",
"born": "1906",
"died": "1975",
"nat": "Romanian",
"occ": "mathematician"
},
"expansion": "Named after Romanian mathematician Tiberiu Popoviciu (1906–1975)",
"name": "named-after"
}
],
"etymology_text": "Named after Romanian mathematician Tiberiu Popoviciu (1906–1975).",
"head_templates": [
{
"args": {},
"expansion": "Popoviciu's inequality",
"name": "en-proper noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "55 45",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "60 40",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "60 40",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"A particular inequality about convex functions, similar to Jensen's inequality."
],
"id": "en-Popoviciu's_inequality-en-name-bSe-4zqw",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"Jensen's inequality",
"Jensen's inequality"
]
],
"raw_glosses": [
"(mathematical analysis) A particular inequality about convex functions, similar to Jensen's inequality."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Probability theory",
"orig": "en:Probability theory",
"parents": [
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"An upper bound on the variance of any bounded probability distribution."
],
"id": "en-Popoviciu's_inequality-en-name-vlqwu5VU",
"links": [
[
"probability theory",
"probability theory"
],
[
"variance",
"variance"
],
[
"probability distribution",
"probability distribution"
]
],
"raw_glosses": [
"(probability theory) An upper bound on the variance of any bounded probability distribution."
],
"topics": [
"mathematics",
"probability-theory",
"sciences"
]
}
],
"wikipedia": [
"Popoviciu's inequality",
"Popoviciu's inequality on variances",
"Tiberiu Popoviciu"
],
"word": "Popoviciu's inequality"
}
{
"categories": [
"English entries with incorrect language header",
"English eponyms",
"English lemmas",
"English multiword terms",
"English proper nouns",
"English uncountable nouns",
"Pages with 1 entry",
"Pages with entries"
],
"etymology_templates": [
{
"args": {
"1": "mathematician",
"2": "",
"3": "",
"4": "",
"5": ""
},
"expansion": "mathematician",
"name": "named-after/list"
},
{
"args": {
"1": "en",
"2": "Tiberiu Popoviciu"
},
"expansion": "Tiberiu Popoviciu",
"name": "lang"
},
{
"args": {
"1": "en",
"2": "Tiberiu Popoviciu",
"born": "1906",
"died": "1975",
"nat": "Romanian",
"occ": "mathematician"
},
"expansion": "Named after Romanian mathematician Tiberiu Popoviciu (1906–1975)",
"name": "named-after"
}
],
"etymology_text": "Named after Romanian mathematician Tiberiu Popoviciu (1906–1975).",
"head_templates": [
{
"args": {},
"expansion": "Popoviciu's inequality",
"name": "en-proper noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
"en:Mathematical analysis"
],
"glosses": [
"A particular inequality about convex functions, similar to Jensen's inequality."
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"Jensen's inequality",
"Jensen's inequality"
]
],
"raw_glosses": [
"(mathematical analysis) A particular inequality about convex functions, similar to Jensen's inequality."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Probability theory"
],
"glosses": [
"An upper bound on the variance of any bounded probability distribution."
],
"links": [
[
"probability theory",
"probability theory"
],
[
"variance",
"variance"
],
[
"probability distribution",
"probability distribution"
]
],
"raw_glosses": [
"(probability theory) An upper bound on the variance of any bounded probability distribution."
],
"topics": [
"mathematics",
"probability-theory",
"sciences"
]
}
],
"wikipedia": [
"Popoviciu's inequality",
"Popoviciu's inequality on variances",
"Tiberiu Popoviciu"
],
"word": "Popoviciu's inequality"
}
Download raw JSONL data for Popoviciu's inequality meaning in All languages combined (1.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-03-09 from the enwiktionary dump dated 2025-03-02 using wiktextract (32c88e6 and 633533e). 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.