"residue class" meaning in English

See residue class in All languages combined, or Wiktionary

Noun

Forms: residue classes [plural]
Head templates: {{en-noun}} residue class (plural residue classes)
  1. (number theory) A coset of an ideal of the ring of integers. Categories (topical): Number theory
    Sense id: en-residue_class-en-noun-dIT3cDes Categories (other): English entries with incorrect language header Topics: mathematics, number-theory, sciences

Inflected forms

Download JSON data for residue class meaning in English (1.0kB)

{
  "forms": [
    {
      "form": "residue classes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "residue class (plural residue classes)",
      "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": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A coset of an ideal of the ring of integers."
      ],
      "id": "en-residue_class-en-noun-dIT3cDes",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "coset",
          "coset"
        ],
        [
          "ideal",
          "ideal"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "integers",
          "integers"
        ]
      ],
      "raw_glosses": [
        "(number theory) A coset of an ideal of the ring of integers."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "residue class"
}
{
  "forms": [
    {
      "form": "residue classes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "residue class (plural residue classes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Number theory"
      ],
      "glosses": [
        "A coset of an ideal of the ring of integers."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "coset",
          "coset"
        ],
        [
          "ideal",
          "ideal"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "integers",
          "integers"
        ]
      ],
      "raw_glosses": [
        "(number theory) A coset of an ideal of the ring of integers."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "residue class"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 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.