See Hadwiger's theorem on Wiktionary
{
"etymology_text": "Proven by Hugo Hadwiger.",
"head_templates": [
{
"args": {},
"expansion": "Hadwiger's theorem",
"name": "en-proper noun"
}
],
"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": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A theorem asserting that every valuation on convex bodies in Rⁿ that is continuous and invariant under rigid motions of Rⁿ is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes)."
],
"id": "en-Hadwiger's_theorem-en-name-eTLLetBg",
"links": [
[
"geometry",
"geometry"
],
[
"valuation",
"valuation"
],
[
"convex",
"convex"
],
[
"bodies",
"body"
],
[
"continuous",
"continuous"
],
[
"invariant",
"invariant"
],
[
"rigid",
"rigid"
],
[
"motion",
"motion"
],
[
"linear",
"linear"
],
[
"combination",
"combination"
],
[
"quermassintegral",
"quermassintegral"
]
],
"raw_glosses": [
"(geometry) A theorem asserting that every valuation on convex bodies in Rⁿ that is continuous and invariant under rigid motions of Rⁿ is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes)."
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"wikipedia": [
"Hadwiger's theorem"
]
}
],
"word": "Hadwiger's theorem"
}
{
"etymology_text": "Proven by Hugo Hadwiger.",
"head_templates": [
{
"args": {},
"expansion": "Hadwiger's theorem",
"name": "en-proper noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"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",
"en:Geometry"
],
"glosses": [
"A theorem asserting that every valuation on convex bodies in Rⁿ that is continuous and invariant under rigid motions of Rⁿ is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes)."
],
"links": [
[
"geometry",
"geometry"
],
[
"valuation",
"valuation"
],
[
"convex",
"convex"
],
[
"bodies",
"body"
],
[
"continuous",
"continuous"
],
[
"invariant",
"invariant"
],
[
"rigid",
"rigid"
],
[
"motion",
"motion"
],
[
"linear",
"linear"
],
[
"combination",
"combination"
],
[
"quermassintegral",
"quermassintegral"
]
],
"raw_glosses": [
"(geometry) A theorem asserting that every valuation on convex bodies in Rⁿ that is continuous and invariant under rigid motions of Rⁿ is a linear combination of the quermassintegrals (or, equivalently, of the intrinsic volumes)."
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"wikipedia": [
"Hadwiger's theorem"
]
}
],
"word": "Hadwiger's theorem"
}
Download raw JSONL data for Hadwiger's theorem meaning in All languages combined (1.3kB)
This page is a part of the kaikki.org machine-readable All languages combined 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.
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.