See scalar product in All languages combined, or Wiktionary
Download JSON data for scalar product meaning in English (4.7kB)
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "William Kingdon Clifford",
"in": "1877"
},
"expansion": "Coined by William Kingdon Clifford in 1877",
"name": "coin"
}
],
"etymology_text": "Coined by William Kingdon Clifford in 1877 in his book Elements of Dynamic.",
"forms": [
{
"form": "scalar products",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "scalar product (plural scalar products)",
"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": "topical",
"langcode": "en",
"name": "Linear algebra",
"orig": "en:Linear algebra",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions."
],
"id": "en-scalar_product-en-noun-wy2pO-R7",
"links": [
[
"linear algebra",
"linear algebra"
],
[
"product",
"product"
],
[
"vector",
"vector"
],
[
"element",
"element"
],
[
"magnitude",
"magnitude"
],
[
"cosine",
"cosine"
],
[
"angle",
"angle"
]
],
"raw_glosses": [
"(linear algebra) The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions."
],
"related": [
{
"word": "·"
},
{
"word": "inner product"
},
{
"word": "vector product"
}
],
"synonyms": [
{
"word": "dot product"
}
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "skalární součin"
},
{
"code": "da",
"lang": "Danish",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "skalarprodukt"
},
{
"code": "da",
"lang": "Danish",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "prikprodukt"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "scalair product"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "product of two vectors",
"word": "skalaaritulo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "product of two vectors",
"word": "pistetulo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "product of two vectors",
"word": "sisätulo"
},
{
"code": "fr",
"lang": "French",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "produit scalaire"
},
{
"code": "de",
"lang": "German",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "Skalarprodukt"
},
{
"code": "el",
"lang": "Greek",
"roman": "esoterikó ginómeno",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "εσωτερικό γινόμενο"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "product of two vectors",
"word": "skaláris szorzat"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "innfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "innra margfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "depilfeldi"
},
{
"code": "it",
"lang": "Italian",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "prodotto scalare"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "sukarā-seki",
"sense": "product of two vectors",
"word": "スカラー積"
},
{
"code": "ko",
"lang": "Korean",
"roman": "seukallagop",
"sense": "product of two vectors",
"word": "스칼라곱"
},
{
"code": "pl",
"lang": "Polish",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "iloczyn skalarny"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "produto escalar"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "produs scalar"
},
{
"code": "ru",
"lang": "Russian",
"roman": "skaljárnoje proizvedénije",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "скаля́рное произведе́ние"
},
{
"code": "es",
"lang": "Spanish",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "producto escalar"
},
{
"code": "es",
"lang": "Spanish",
"sense": "product of two vectors",
"word": "producto punto"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "product of two vectors",
"tags": [
"common-gender"
],
"word": "skalärprodukt"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "product of two vectors",
"word": "tích vô hướng"
}
],
"wikipedia": [
"scalar product"
]
}
],
"word": "scalar product"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "William Kingdon Clifford",
"in": "1877"
},
"expansion": "Coined by William Kingdon Clifford in 1877",
"name": "coin"
}
],
"etymology_text": "Coined by William Kingdon Clifford in 1877 in his book Elements of Dynamic.",
"forms": [
{
"form": "scalar products",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "scalar product (plural scalar products)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "·"
},
{
"word": "inner product"
},
{
"word": "vector product"
}
],
"senses": [
{
"categories": [
"English coinages",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms coined by William Kingdon Clifford",
"en:Linear algebra"
],
"glosses": [
"The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions."
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"product",
"product"
],
[
"vector",
"vector"
],
[
"element",
"element"
],
[
"magnitude",
"magnitude"
],
[
"cosine",
"cosine"
],
[
"angle",
"angle"
]
],
"raw_glosses": [
"(linear algebra) The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions."
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
],
"wikipedia": [
"scalar product"
]
}
],
"synonyms": [
{
"word": "dot product"
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "skalární součin"
},
{
"code": "da",
"lang": "Danish",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "skalarprodukt"
},
{
"code": "da",
"lang": "Danish",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "prikprodukt"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "scalair product"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "product of two vectors",
"word": "skalaaritulo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "product of two vectors",
"word": "pistetulo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "product of two vectors",
"word": "sisätulo"
},
{
"code": "fr",
"lang": "French",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "produit scalaire"
},
{
"code": "de",
"lang": "German",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "Skalarprodukt"
},
{
"code": "el",
"lang": "Greek",
"roman": "esoterikó ginómeno",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "εσωτερικό γινόμενο"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "product of two vectors",
"word": "skaláris szorzat"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "innfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "innra margfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "depilfeldi"
},
{
"code": "it",
"lang": "Italian",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "prodotto scalare"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "sukarā-seki",
"sense": "product of two vectors",
"word": "スカラー積"
},
{
"code": "ko",
"lang": "Korean",
"roman": "seukallagop",
"sense": "product of two vectors",
"word": "스칼라곱"
},
{
"code": "pl",
"lang": "Polish",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "iloczyn skalarny"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "produto escalar"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "produs scalar"
},
{
"code": "ru",
"lang": "Russian",
"roman": "skaljárnoje proizvedénije",
"sense": "product of two vectors",
"tags": [
"neuter"
],
"word": "скаля́рное произведе́ние"
},
{
"code": "es",
"lang": "Spanish",
"sense": "product of two vectors",
"tags": [
"masculine"
],
"word": "producto escalar"
},
{
"code": "es",
"lang": "Spanish",
"sense": "product of two vectors",
"word": "producto punto"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "product of two vectors",
"tags": [
"common-gender"
],
"word": "skalärprodukt"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "product of two vectors",
"word": "tích vô hướng"
}
],
"word": "scalar product"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.