See scalar field on Wiktionary
{
"forms": [
{
"form": "scalar fields",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "scalar field (plural scalar fields)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Physics",
"orig": "en:Physics",
"parents": [
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A function that assigns a scalar value to every point in space."
],
"id": "en-scalar_field-en-noun-0XgfKRR1",
"links": [
[
"mathematics",
"mathematics"
],
[
"physics",
"physics"
],
[
"function",
"function"
],
[
"scalar",
"scalar"
]
],
"raw_glosses": [
"(mathematics, physics) A function that assigns a scalar value to every point in space."
],
"topics": [
"mathematics",
"natural-sciences",
"physical-sciences",
"physics",
"sciences"
],
"translations": [
{
"_dis1": "67 33",
"code": "cs",
"lang": "Czech",
"sense": "mathematical function",
"tags": [
"neuter"
],
"word": "skalární pole"
},
{
"_dis1": "67 33",
"code": "da",
"lang": "Danish",
"sense": "mathematical function",
"tags": [
"neuter"
],
"word": "skalarfelt"
},
{
"_dis1": "67 33",
"code": "fi",
"lang": "Finnish",
"sense": "mathematical function",
"word": "skalaarikenttä"
},
{
"_dis1": "67 33",
"code": "fr",
"lang": "French",
"sense": "mathematical function",
"tags": [
"masculine"
],
"word": "champ scalaire"
},
{
"_dis1": "67 33",
"code": "is",
"lang": "Icelandic",
"sense": "mathematical function",
"tags": [
"neuter"
],
"word": "tölusvið"
},
{
"_dis1": "67 33",
"code": "sv",
"lang": "Swedish",
"sense": "mathematical function",
"tags": [
"neuter"
],
"word": "skalärfält"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Linear algebra",
"orig": "en:Linear algebra",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "28 72",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "22 78",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "24 76",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "19 81",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "24 76",
"kind": "other",
"name": "Terms with Czech translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "15 85",
"kind": "other",
"name": "Terms with Danish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "21 79",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "21 79",
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "21 79",
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "20 80",
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"The field (algebraic structure) for which scalar multiplication is defined for a given vector space; field of scalars."
],
"id": "en-scalar_field-en-noun-sp0nvYMn",
"links": [
[
"mathematics",
"mathematics"
],
[
"linear algebra",
"linear algebra"
],
[
"field",
"field"
],
[
"scalar multiplication",
"scalar multiplication"
],
[
"vector space",
"vector space"
],
[
"scalar",
"scalar"
]
],
"raw_glosses": [
"(mathematics, linear algebra) The field (algebraic structure) for which scalar multiplication is defined for a given vector space; field of scalars."
],
"related": [
{
"_dis1": "40 60",
"word": "vector field"
}
],
"synonyms": [
{
"_dis1": "40 60",
"topics": [
"linear-algebra",
"mathematics",
"sciences"
],
"word": "field of scalars"
}
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"wikipedia": [
"scalar field"
],
"word": "scalar field"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Czech translations",
"Terms with Danish translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with Icelandic translations",
"Terms with Swedish translations"
],
"forms": [
{
"form": "scalar fields",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "scalar field (plural scalar fields)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "vector field"
}
],
"senses": [
{
"categories": [
"en:Mathematics",
"en:Physics"
],
"glosses": [
"A function that assigns a scalar value to every point in space."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"physics",
"physics"
],
[
"function",
"function"
],
[
"scalar",
"scalar"
]
],
"raw_glosses": [
"(mathematics, physics) A function that assigns a scalar value to every point in space."
],
"topics": [
"mathematics",
"natural-sciences",
"physical-sciences",
"physics",
"sciences"
]
},
{
"categories": [
"en:Linear algebra",
"en:Mathematics"
],
"glosses": [
"The field (algebraic structure) for which scalar multiplication is defined for a given vector space; field of scalars."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"linear algebra",
"linear algebra"
],
[
"field",
"field"
],
[
"scalar multiplication",
"scalar multiplication"
],
[
"vector space",
"vector space"
],
[
"scalar",
"scalar"
]
],
"raw_glosses": [
"(mathematics, linear algebra) The field (algebraic structure) for which scalar multiplication is defined for a given vector space; field of scalars."
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"topics": [
"linear-algebra",
"mathematics",
"sciences"
],
"word": "field of scalars"
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "mathematical function",
"tags": [
"neuter"
],
"word": "skalární pole"
},
{
"code": "da",
"lang": "Danish",
"sense": "mathematical function",
"tags": [
"neuter"
],
"word": "skalarfelt"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematical function",
"word": "skalaarikenttä"
},
{
"code": "fr",
"lang": "French",
"sense": "mathematical function",
"tags": [
"masculine"
],
"word": "champ scalaire"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematical function",
"tags": [
"neuter"
],
"word": "tölusvið"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "mathematical function",
"tags": [
"neuter"
],
"word": "skalärfält"
}
],
"wikipedia": [
"scalar field"
],
"word": "scalar field"
}
Download raw JSONL data for scalar field meaning in All languages combined (2.6kB)
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.