"bent function" meaning in English

See bent function in All languages combined, or Wiktionary

Noun

Forms: bent functions [plural]
Etymology: So called because they are as different as possible from all linear functions (the simplest or "straight-line" functions) and from all affine functions (which preserve parallel lines). Head templates: {{en-noun}} bent function (plural bent functions)
  1. (combinatorics) A Boolean function f: Z ₂ⁿ→ Z ₂ whose Walsh transform has constant absolute value. Wikipedia link: bent function Categories (topical): Combinatorics
    Sense id: en-bent_function-en-noun-vRUu~e16 Categories (other): English entries with incorrect language header Topics: combinatorics, mathematics, sciences

Inflected forms

Download JSON data for bent function meaning in English (1.4kB)

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  "etymology_text": "So called because they are as different as possible from all linear functions (the simplest or \"straight-line\" functions) and from all affine functions (which preserve parallel lines).",
  "forms": [
    {
      "form": "bent functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "bent function (plural bent functions)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
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          "source": "w"
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "A Boolean function f: Z ₂ⁿ→ Z ₂ whose Walsh transform has constant absolute value."
      ],
      "id": "en-bent_function-en-noun-vRUu~e16",
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "Boolean function",
          "Boolean function"
        ],
        [
          "Walsh transform",
          "Walsh transform"
        ],
        [
          "constant",
          "constant"
        ],
        [
          "absolute value",
          "absolute value"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A Boolean function f: Z ₂ⁿ→ Z ₂ whose Walsh transform has constant absolute value."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "bent function"
      ]
    }
  ],
  "word": "bent function"
}
{
  "etymology_text": "So called because they are as different as possible from all linear functions (the simplest or \"straight-line\" functions) and from all affine functions (which preserve parallel lines).",
  "forms": [
    {
      "form": "bent functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "bent function (plural bent functions)",
      "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:Combinatorics"
      ],
      "glosses": [
        "A Boolean function f: Z ₂ⁿ→ Z ₂ whose Walsh transform has constant absolute value."
      ],
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "Boolean function",
          "Boolean function"
        ],
        [
          "Walsh transform",
          "Walsh transform"
        ],
        [
          "constant",
          "constant"
        ],
        [
          "absolute value",
          "absolute value"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A Boolean function f: Z ₂ⁿ→ Z ₂ whose Walsh transform has constant absolute value."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "bent function"
      ]
    }
  ],
  "word": "bent function"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.