"additive inverse" meaning in All languages combined

See additive inverse on Wiktionary

Noun [English]

IPA: /ˌæd.ɪ.tɪv ˈɪn.vɜːs/ [UK], /ˌæd.ə.t̬ɪv ˈɪn.vɝːs/ [US] Forms: additive inverses [plural]
Etymology: So called because the sum of a number and its additive inverse is the additive identity. Head templates: {{en-noun}} additive inverse (plural additive inverses)
  1. (mathematics) The inverse with respect to addition; the opposite. Categories (topical): Mathematics Synonyms (inverse with respect to addition): negative [colloquial], opposite Related terms: additive identity, multiplicative inverse Translations (mathematical term): vastaluku (Finnish), additives Inverses [neuter] (German), Gegenzahl [feminine] (German), liczba przeciwna [feminine] (Polish), elemento inverso [masculine] (Portuguese)

Inflected forms

{
  "etymology_text": "So called because the sum of a number and its additive inverse is the additive identity.",
  "forms": [
    {
      "form": "additive inverses",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "additive inverse (plural additive inverses)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Portuguese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The additive inverse of 12 is −12."
        }
      ],
      "glosses": [
        "The inverse with respect to addition; the opposite."
      ],
      "id": "en-additive_inverse-en-noun-8JoTNN5I",
      "links": [
        [
          "Wikipedia",
          "Wikipedia"
        ],
        [
          "additive inverse",
          "w:additive inverse"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "inverse",
          "inverse"
        ],
        [
          "addition",
          "addition"
        ],
        [
          "opposite",
          "opposite"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The inverse with respect to addition; the opposite."
      ],
      "related": [
        {
          "word": "additive identity"
        },
        {
          "word": "multiplicative inverse"
        }
      ],
      "synonyms": [
        {
          "sense": "inverse with respect to addition",
          "tags": [
            "colloquial"
          ],
          "word": "negative"
        },
        {
          "sense": "inverse with respect to addition",
          "word": "opposite"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "mathematical term",
          "word": "vastaluku"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "mathematical term",
          "tags": [
            "neuter"
          ],
          "word": "additives Inverses"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "mathematical term",
          "tags": [
            "feminine"
          ],
          "word": "Gegenzahl"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "mathematical term",
          "tags": [
            "feminine"
          ],
          "word": "liczba przeciwna"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "mathematical term",
          "tags": [
            "masculine"
          ],
          "word": "elemento inverso"
        }
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌæd.ɪ.tɪv ˈɪn.vɜːs/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌæd.ə.t̬ɪv ˈɪn.vɝːs/",
      "tags": [
        "US"
      ]
    }
  ],
  "word": "additive inverse"
}
{
  "etymology_text": "So called because the sum of a number and its additive inverse is the additive identity.",
  "forms": [
    {
      "form": "additive inverses",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "additive inverse (plural additive inverses)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "additive identity"
    },
    {
      "word": "multiplicative inverse"
    }
  ],
  "senses": [
    {
      "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 Finnish translations",
        "Terms with German translations",
        "Terms with Polish translations",
        "Terms with Portuguese translations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The additive inverse of 12 is −12."
        }
      ],
      "glosses": [
        "The inverse with respect to addition; the opposite."
      ],
      "links": [
        [
          "Wikipedia",
          "Wikipedia"
        ],
        [
          "additive inverse",
          "w:additive inverse"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "inverse",
          "inverse"
        ],
        [
          "addition",
          "addition"
        ],
        [
          "opposite",
          "opposite"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The inverse with respect to addition; the opposite."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌæd.ɪ.tɪv ˈɪn.vɜːs/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌæd.ə.t̬ɪv ˈɪn.vɝːs/",
      "tags": [
        "US"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "inverse with respect to addition",
      "tags": [
        "colloquial"
      ],
      "word": "negative"
    },
    {
      "sense": "inverse with respect to addition",
      "word": "opposite"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "mathematical term",
      "word": "vastaluku"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical term",
      "tags": [
        "neuter"
      ],
      "word": "additives Inverses"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical term",
      "tags": [
        "feminine"
      ],
      "word": "Gegenzahl"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "mathematical term",
      "tags": [
        "feminine"
      ],
      "word": "liczba przeciwna"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "mathematical term",
      "tags": [
        "masculine"
      ],
      "word": "elemento inverso"
    }
  ],
  "word": "additive inverse"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 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.