See Laplace-de Rham operator on Wiktionary
{
"forms": [
{
"form": "Laplace-de Rham operators",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"head": "Laplace-de Rham operator"
},
"expansion": "Laplace-de Rham operator (plural Laplace-de Rham operators)",
"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": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Differential geometry",
"orig": "en:Differential geometry",
"parents": [
"Geometry",
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A generalization of the Laplace operator; the anticommutator of the exterior derivative and the codifferential."
],
"id": "en-Laplace-de_Rham_operator-en-noun-tNLscaZe",
"links": [
[
"differential geometry",
"differential geometry"
],
[
"Laplace operator",
"Laplace operator"
],
[
"anticommutator",
"anticommutator"
],
[
"exterior derivative",
"exterior derivative"
],
[
"codifferential",
"codifferential"
]
],
"qualifier": "differential geometry",
"raw_glosses": [
"(differential geometry) A generalization of the Laplace operator; the anticommutator of the exterior derivative and the codifferential."
],
"synonyms": [
{
"word": "form Laplacian"
},
{
"word": "Hodge Laplacian"
}
],
"wikipedia": [
"Laplace operators in differential geometry"
]
}
],
"word": "Laplace-de Rham operator"
}
{
"forms": [
{
"form": "Laplace-de Rham operators",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"head": "Laplace-de Rham operator"
},
"expansion": "Laplace-de Rham operator (plural Laplace-de Rham operators)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English eponyms",
"English lemmas",
"English multiword terms",
"English nouns",
"Pages with 1 entry",
"Pages with entries",
"en:Differential geometry",
"en:Geometry"
],
"glosses": [
"A generalization of the Laplace operator; the anticommutator of the exterior derivative and the codifferential."
],
"links": [
[
"differential geometry",
"differential geometry"
],
[
"Laplace operator",
"Laplace operator"
],
[
"anticommutator",
"anticommutator"
],
[
"exterior derivative",
"exterior derivative"
],
[
"codifferential",
"codifferential"
]
],
"qualifier": "differential geometry",
"raw_glosses": [
"(differential geometry) A generalization of the Laplace operator; the anticommutator of the exterior derivative and the codifferential."
],
"wikipedia": [
"Laplace operators in differential geometry"
]
}
],
"synonyms": [
{
"word": "form Laplacian"
},
{
"word": "Hodge Laplacian"
}
],
"word": "Laplace-de Rham operator"
}
Download raw JSONL data for Laplace-de Rham operator 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 2025-02-17 from the enwiktionary dump dated 2025-02-02 using wiktextract (ca09fec and c40eb85). 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.