"biproduct" meaning in English

See biproduct in All languages combined, or Wiktionary

Noun

Forms: biproducts [plural]
Etymology: bi- + product Etymology templates: {{prefix|en|bi|product}} bi- + product Head templates: {{en-noun}} biproduct (plural biproducts)
  1. (category theory) A biproduct of a finite collection of objects, in a category with zero objects, is both a product and a coproduct. Wikipedia link: biproduct Categories (topical): Category theory Translations (Translations): Biprodukt [neuter] (German)

Inflected forms

Download JSON data for biproduct meaning in English (1.8kB)

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  "etymology_templates": [
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      "args": {
        "1": "en",
        "2": "bi",
        "3": "product"
      },
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    }
  ],
  "etymology_text": "bi- + product",
  "forms": [
    {
      "form": "biproducts",
      "tags": [
        "plural"
      ]
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  ],
  "head_templates": [
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      "args": {},
      "expansion": "biproduct (plural biproducts)",
      "name": "en-noun"
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  "lang_code": "en",
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  "senses": [
    {
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          "name": "English entries with incorrect language header",
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            "Formal sciences",
            "Sciences",
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            "Fundamental"
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        }
      ],
      "glosses": [
        "A biproduct of a finite collection of objects, in a category with zero objects, is both a product and a coproduct."
      ],
      "id": "en-biproduct-en-noun-TCsBozbg",
      "links": [
        [
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        [
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        ],
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        ],
        [
          "object",
          "object#English"
        ],
        [
          "category",
          "category#English"
        ],
        [
          "zero object",
          "zero object#English"
        ],
        [
          "product",
          "product#English"
        ],
        [
          "coproduct",
          "coproduct#English"
        ]
      ],
      "raw_glosses": [
        "(category theory) A biproduct of a finite collection of objects, in a category with zero objects, is both a product and a coproduct."
      ],
      "topics": [
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        "computing",
        "engineering",
        "mathematics",
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      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "Biprodukt"
        }
      ],
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      ]
    }
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    {
      "homophone": "by-product"
    }
  ],
  "word": "biproduct"
}
{
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      "args": {
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      },
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    }
  ],
  "etymology_text": "bi- + product",
  "forms": [
    {
      "form": "biproducts",
      "tags": [
        "plural"
      ]
    }
  ],
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      ],
      "glosses": [
        "A biproduct of a finite collection of objects, in a category with zero objects, is both a product and a coproduct."
      ],
      "links": [
        [
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        ],
        [
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        ],
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        ],
        [
          "object",
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        ],
        [
          "category",
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        ],
        [
          "zero object",
          "zero object#English"
        ],
        [
          "product",
          "product#English"
        ],
        [
          "coproduct",
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        ]
      ],
      "raw_glosses": [
        "(category theory) A biproduct of a finite collection of objects, in a category with zero objects, is both a product and a coproduct."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
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    }
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    {
      "homophone": "by-product"
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  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "Biprodukt"
    }
  ],
  "word": "biproduct"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 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.