"algebraic normal form" meaning in English

{
  "etymology_text": "\"Algebraic\" would refer to the fact that a two-element Galois field, 𝔽₂ adjoined with some variables forms a polynomial algebra, 𝔽₂[x_1,...,x_n].",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "algebraic 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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "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"
        }
      ],
      "examples": [
        {
          "ref": "2015 September 22, Magnus Gausdal Find, Joan Boyar, “Multiplicative Complexity of Vector Valued Boolean Functions”, in arxiv.org, retrieved 2017-08-10:",
          "text": "It is well known that every (n,1)-function f can be written uniquely as a multilinear polynomial over #92;mathbb#123;F#125;#95;2\n#92;qquad#92;qquad#92;qquad#92;qquad#92;qquadf(x#95;1,...,x#95;n)#61;#92;sum#95;#123;X#92;subseteq#91;n#93;#125;#92;alpha#95;X#92;prod#95;#123;i#92;inX#125;x#95;i.\nThis polynomial is called the Zhegalkin polynomial or the algebraic normal form (ANF) of f.",
          "type": "quote"
        }
      ],
      "glosses": [
        "ring sum normal form"
      ],
      "id": "en-algebraic_normal_form-en-noun-8XvyK7qm",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "ring sum normal form",
          "ring sum normal form"
        ]
      ],
      "raw_glosses": [
        "(algebra, logic) ring sum normal form"
      ],
      "related": [
        {
          "word": "Zhegalkin polynomial"
        }
      ],
      "synonyms": [
        {
          "word": "ring sum normal form"
        }
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "algebraic normal form"
      ]
    }
  ],
  "word": "algebraic normal form"
}

{
  "etymology_text": "\"Algebraic\" would refer to the fact that a two-element Galois field, 𝔽₂ adjoined with some variables forms a polynomial algebra, 𝔽₂[x_1,...,x_n].",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "algebraic 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 terms with quotations",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Algebra",
        "en:Logic"
      ],
      "examples": [
        {
          "ref": "2015 September 22, Magnus Gausdal Find, Joan Boyar, “Multiplicative Complexity of Vector Valued Boolean Functions”, in arxiv.org, retrieved 2017-08-10:",
          "text": "It is well known that every (n,1)-function f can be written uniquely as a multilinear polynomial over #92;mathbb#123;F#125;#95;2\n#92;qquad#92;qquad#92;qquad#92;qquad#92;qquadf(x#95;1,...,x#95;n)#61;#92;sum#95;#123;X#92;subseteq#91;n#93;#125;#92;alpha#95;X#92;prod#95;#123;i#92;inX#125;x#95;i.\nThis polynomial is called the Zhegalkin polynomial or the algebraic normal form (ANF) of f.",
          "type": "quote"
        }
      ],
      "glosses": [
        "ring sum normal form"
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "ring sum normal form",
          "ring sum normal form"
        ]
      ],
      "raw_glosses": [
        "(algebra, logic) ring sum normal form"
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "algebraic normal form"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "ring sum normal form"
    }
  ],
  "word": "algebraic normal form"
}