See piecewise linear in All languages combined, or Wiktionary
Download JSON data for piecewise linear meaning in English (3.0kB)
{
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "piecewise linear (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "58 42",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "56 44",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "56 44",
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "60 40",
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces"
],
"id": "en-piecewise_linear-en-adj-~naI2ijm",
"links": [
[
"mathematics",
"mathematics"
],
[
"Equal",
"equal"
],
[
"sum",
"sum"
],
[
"finite",
"finite"
],
[
"linear",
"linear"
],
[
"function",
"function"
],
[
"defined",
"defined"
],
[
"convex",
"convex"
],
[
"polytope",
"polytope"
],
[
"vector space",
"vector space"
]
],
"raw_glosses": [
"(mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "88 12",
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: equal to a sum of finitely many linear functions",
"word": "paloittain lineaarinen"
},
{
"_dis1": "88 12",
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: equal to a sum of finitely many linear functions",
"tags": [
"masculine"
],
"word": "línulegur á köflum"
},
{
"_dis1": "88 12",
"code": "ru",
"lang": "Russian",
"roman": "kusóčno-linéjnyj",
"sense": "mathematics: equal to a sum of finitely many linear functions",
"word": "кусо́чно-лине́йный"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Topology",
"orig": "en:Topology",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds"
],
"id": "en-piecewise_linear-en-adj-Yuqs0-Z4",
"links": [
[
"topology",
"topology"
],
[
"defining",
"defining"
],
[
"atlas",
"atlas"
],
[
"homeomorphism",
"homeomorphism"
],
[
"intersect",
"intersect"
],
[
"chart",
"chart"
]
],
"raw_glosses": [
"(topology) Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds"
],
"synonyms": [
{
"_dis1": "43 57",
"word": "PL"
}
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences",
"topology"
]
}
],
"wikipedia": [
"piecewise linear"
],
"word": "piecewise linear"
}
{
"categories": [
"English adjectives",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English uncomparable adjectives",
"Terms with Finnish translations",
"Terms with Icelandic translations",
"Terms with Russian translations"
],
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "piecewise linear (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"senses": [
{
"categories": [
"en:Mathematics"
],
"glosses": [
"Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces"
],
"links": [
[
"mathematics",
"mathematics"
],
[
"Equal",
"equal"
],
[
"sum",
"sum"
],
[
"finite",
"finite"
],
[
"linear",
"linear"
],
[
"function",
"function"
],
[
"defined",
"defined"
],
[
"convex",
"convex"
],
[
"polytope",
"polytope"
],
[
"vector space",
"vector space"
]
],
"raw_glosses": [
"(mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Topology"
],
"glosses": [
"Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds"
],
"links": [
[
"topology",
"topology"
],
[
"defining",
"defining"
],
[
"atlas",
"atlas"
],
[
"homeomorphism",
"homeomorphism"
],
[
"intersect",
"intersect"
],
[
"chart",
"chart"
]
],
"raw_glosses": [
"(topology) Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds"
],
"tags": [
"not-comparable"
],
"topics": [
"mathematics",
"sciences",
"topology"
]
}
],
"synonyms": [
{
"word": "PL"
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: equal to a sum of finitely many linear functions",
"word": "paloittain lineaarinen"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: equal to a sum of finitely many linear functions",
"tags": [
"masculine"
],
"word": "línulegur á köflum"
},
{
"code": "ru",
"lang": "Russian",
"roman": "kusóčno-linéjnyj",
"sense": "mathematics: equal to a sum of finitely many linear functions",
"word": "кусо́чно-лине́йный"
}
],
"wikipedia": [
"piecewise linear"
],
"word": "piecewise linear"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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.