"cross product" meaning in English

See cross product in All languages combined, or Wiktionary

Noun

Forms: cross products [plural]
Etymology: Coined by American scientist Josiah Willard Gibbs in 1881. Etymology templates: {{coin|en|Q153243|in=1881}} Coined by American scientist Josiah Willard Gibbs in 1881 Head templates: {{en-noun}} cross product (plural cross products)
  1. (linear algebra) A vector product. Wikipedia link: cross product Categories (topical): Linear algebra Derived forms: bicrossproduct
    Sense id: en-cross_product-en-noun-jLINnseL Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: linear-algebra, mathematics, sciences

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "Q153243",
        "in": "1881"
      },
      "expansion": "Coined by American scientist Josiah Willard Gibbs in 1881",
      "name": "coin"
    }
  ],
  "etymology_text": "Coined by American scientist Josiah Willard Gibbs in 1881.",
  "forms": [
    {
      "form": "cross products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cross product (plural cross 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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "bicrossproduct"
        }
      ],
      "examples": [
        {
          "text": "The cross product can be derived like so: given a pair of vectors #x5C;xi and #x5C;eta, solve for a vector #x5C;zeta which is perpendicular to both #x5C;xi and #x5C;eta, i.e., whose dot product with both #x5C;xi and #x5C;eta is zero.",
          "type": "example"
        }
      ],
      "glosses": [
        "A vector product."
      ],
      "id": "en-cross_product-en-noun-jLINnseL",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "vector product",
          "vector product"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A vector product."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "cross product"
      ]
    }
  ],
  "word": "cross product"
}
{
  "derived": [
    {
      "word": "bicrossproduct"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "Q153243",
        "in": "1881"
      },
      "expansion": "Coined by American scientist Josiah Willard Gibbs in 1881",
      "name": "coin"
    }
  ],
  "etymology_text": "Coined by American scientist Josiah Willard Gibbs in 1881.",
  "forms": [
    {
      "form": "cross products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cross product (plural cross products)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English coinages",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms coined by Josiah Willard Gibbs",
        "English terms with usage examples",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Linear algebra"
      ],
      "examples": [
        {
          "text": "The cross product can be derived like so: given a pair of vectors #x5C;xi and #x5C;eta, solve for a vector #x5C;zeta which is perpendicular to both #x5C;xi and #x5C;eta, i.e., whose dot product with both #x5C;xi and #x5C;eta is zero.",
          "type": "example"
        }
      ],
      "glosses": [
        "A vector product."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "vector product",
          "vector product"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A vector product."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "cross product"
      ]
    }
  ],
  "word": "cross product"
}

Download raw JSONL data for cross product meaning in English (1.4kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.