ring sum normal form in English

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{
  "etymology_text": "\"Ring sum\" refers to a XOR-sum of monomials, where XOR is the additive operator of a Boolean ring.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "ring sum normal form (uncountable)",
      "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": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Logic",
          "orig": "en:Logic",
          "parents": [
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The form of a Boolean formula expressed using only the operators and constants of a Boolean ring (XOR, AND, 0, 1), some variables and possibly also coefficients, and without using any parentheses."
      ],
      "id": "en-ring_sum_normal_form-en-noun-lNiUSC6J",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "Boolean ring",
          "Boolean ring"
        ]
      ],
      "raw_glosses": [
        "(algebra, logic) The form of a Boolean formula expressed using only the operators and constants of a Boolean ring (XOR, AND, 0, 1), some variables and possibly also coefficients, and without using any parentheses."
      ],
      "related": [
        {
          "word": "Zhegalkin polynomial"
        }
      ],
      "synonyms": [
        {
          "word": "algebraic normal form"
        }
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "word": "ring sum normal form"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "\"Ring sum\" refers to a XOR-sum of monomials, where XOR is the additive operator of a Boolean ring.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "ring sum normal form (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Zhegalkin polynomial"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
        "en:Algebra",
        "en:Logic"
      ],
      "glosses": [
        "The form of a Boolean formula expressed using only the operators and constants of a Boolean ring (XOR, AND, 0, 1), some variables and possibly also coefficients, and without using any parentheses."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "Boolean ring",
          "Boolean ring"
        ]
      ],
      "raw_glosses": [
        "(algebra, logic) The form of a Boolean formula expressed using only the operators and constants of a Boolean ring (XOR, AND, 0, 1), some variables and possibly also coefficients, and without using any parentheses."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "algebraic normal form"
    }
  ],
  "word": "ring sum normal form"
}

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.

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"ring sum normal form" meaning in English

Noun