"antipalindromic" meaning in English

See antipalindromic in All languages combined, or Wiktionary

Adjective

Head templates: {{en-adj|-}} antipalindromic (not comparable)
  1. (mathematics) Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.
    Of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑ᵢ₌₀ⁿa_ixⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ixⁱ=∑ᵢ₌₀ⁿ-a_n-ixⁱ⟺a_i=-a_n-i.
    Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-antipalindromic-en-adj-WuFbxecX Topics: mathematics, sciences
  2. (mathematics) Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.
    Of a natural number, with respect to base b, being equivalent to the natural number whose digits are reversed and subtracted from b-1: ∑ᵢ₌₀ⁿa_ibⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ibⁱ=∑ᵢ₌₀ⁿ(b-1-a_n-i)bⁱ⟺a_i=b-1-a_n-i.
    Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-antipalindromic-en-adj-HHSGvu69 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 35 65 Disambiguation of Pages with 1 entry: 36 64 Disambiguation of Pages with entries: 31 69 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Related terms: antipalindrome, antisymmetric
{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "antipalindromic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "_dis1": "0 0",
      "word": "antipalindrome"
    },
    {
      "_dis1": "0 0",
      "word": "antisymmetric"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "x²-1 is an antipalindromic polynomial.",
          "type": "example"
        }
      ],
      "glosses": [
        "Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.",
        "Of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑ᵢ₌₀ⁿa_ixⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ixⁱ=∑ᵢ₌₀ⁿ-a_n-ixⁱ⟺a_i=-a_n-i."
      ],
      "id": "en-antipalindromic-en-adj-WuFbxecX",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "equivalent",
          "equivalent"
        ],
        [
          "object",
          "object"
        ],
        [
          "constituent",
          "constituent"
        ],
        [
          "parameter",
          "parameter"
        ],
        [
          "reverse",
          "reverse"
        ],
        [
          "involution",
          "involution"
        ],
        [
          "inversion",
          "inversion"
        ],
        [
          "quasigroup",
          "quasigroup"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "additively",
          "additively"
        ],
        [
          "invert",
          "invert"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "iff",
          "iff"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.",
        "Of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑ᵢ₌₀ⁿa_ixⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ixⁱ=∑ᵢ₌₀ⁿ-a_n-ixⁱ⟺a_i=-a_n-i."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "35 65",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "36 64",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "31 69",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "1728#95;#123;10#125; is an antipalindromic number with respect to base 10.",
          "type": "example"
        }
      ],
      "glosses": [
        "Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.",
        "Of a natural number, with respect to base b, being equivalent to the natural number whose digits are reversed and subtracted from b-1: ∑ᵢ₌₀ⁿa_ibⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ibⁱ=∑ᵢ₌₀ⁿ(b-1-a_n-i)bⁱ⟺a_i=b-1-a_n-i."
      ],
      "id": "en-antipalindromic-en-adj-HHSGvu69",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "equivalent",
          "equivalent"
        ],
        [
          "object",
          "object"
        ],
        [
          "constituent",
          "constituent"
        ],
        [
          "parameter",
          "parameter"
        ],
        [
          "reverse",
          "reverse"
        ],
        [
          "involution",
          "involution"
        ],
        [
          "inversion",
          "inversion"
        ],
        [
          "quasigroup",
          "quasigroup"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "base",
          "base"
        ],
        [
          "subtract",
          "subtract"
        ],
        [
          "iff",
          "iff"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.",
        "Of a natural number, with respect to base b, being equivalent to the natural number whose digits are reversed and subtracted from b-1: ∑ᵢ₌₀ⁿa_ibⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ibⁱ=∑ᵢ₌₀ⁿ(b-1-a_n-i)bⁱ⟺a_i=b-1-a_n-i."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "antipalindromic"
}
{
  "categories": [
    "English adjectives",
    "English entries with incorrect language header",
    "English lemmas",
    "English uncomparable adjectives",
    "Pages with 1 entry",
    "Pages with entries"
  ],
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "antipalindromic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "antipalindrome"
    },
    {
      "word": "antisymmetric"
    }
  ],
  "senses": [
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "x²-1 is an antipalindromic polynomial.",
          "type": "example"
        }
      ],
      "glosses": [
        "Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.",
        "Of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑ᵢ₌₀ⁿa_ixⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ixⁱ=∑ᵢ₌₀ⁿ-a_n-ixⁱ⟺a_i=-a_n-i."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "equivalent",
          "equivalent"
        ],
        [
          "object",
          "object"
        ],
        [
          "constituent",
          "constituent"
        ],
        [
          "parameter",
          "parameter"
        ],
        [
          "reverse",
          "reverse"
        ],
        [
          "involution",
          "involution"
        ],
        [
          "inversion",
          "inversion"
        ],
        [
          "quasigroup",
          "quasigroup"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "additively",
          "additively"
        ],
        [
          "invert",
          "invert"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "iff",
          "iff"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.",
        "Of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑ᵢ₌₀ⁿa_ixⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ixⁱ=∑ᵢ₌₀ⁿ-a_n-ixⁱ⟺a_i=-a_n-i."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "1728#95;#123;10#125; is an antipalindromic number with respect to base 10.",
          "type": "example"
        }
      ],
      "glosses": [
        "Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.",
        "Of a natural number, with respect to base b, being equivalent to the natural number whose digits are reversed and subtracted from b-1: ∑ᵢ₌₀ⁿa_ibⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ibⁱ=∑ᵢ₌₀ⁿ(b-1-a_n-i)bⁱ⟺a_i=b-1-a_n-i."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "equivalent",
          "equivalent"
        ],
        [
          "object",
          "object"
        ],
        [
          "constituent",
          "constituent"
        ],
        [
          "parameter",
          "parameter"
        ],
        [
          "reverse",
          "reverse"
        ],
        [
          "involution",
          "involution"
        ],
        [
          "inversion",
          "inversion"
        ],
        [
          "quasigroup",
          "quasigroup"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "base",
          "base"
        ],
        [
          "subtract",
          "subtract"
        ],
        [
          "iff",
          "iff"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Being equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.",
        "Of a natural number, with respect to base b, being equivalent to the natural number whose digits are reversed and subtracted from b-1: ∑ᵢ₌₀ⁿa_ibⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ibⁱ=∑ᵢ₌₀ⁿ(b-1-a_n-i)bⁱ⟺a_i=b-1-a_n-i."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "antipalindromic"
}

Download raw JSONL data for antipalindromic meaning in English (3.3kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-08 from the enwiktionary dump dated 2025-01-01 using wiktextract (9a96ef4 and 4ed51a5). 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.