"self-dual" meaning in English

See self-dual in All languages combined, or Wiktionary

Adjective

Etymology: self- + dual Etymology templates: {{prefix|en|self|dual}} self- + dual Head templates: {{en-adj|-}} self-dual (not comparable)
  1. (linear algebra) Of a vector space, isomorphic to its dual space. Tags: not-comparable Categories (topical): Linear algebra Translations (of a vector space, isomorphic to its dual space): itseduaalinen (Finnish), selbstdual (German), samo-podwójny (Polish)
    Sense id: en-self-dual-en-adj-56x8r5TR Categories (other): English entries with incorrect language header, English terms prefixed with self- Disambiguation of English entries with incorrect language header: 75 16 9 Disambiguation of English terms prefixed with self-: 40 27 33 Topics: linear-algebra, mathematics, sciences Disambiguation of 'of a vector space, isomorphic to its dual space': 94 4 2
  2. (mathematics, in projective geometry) Of a proposition that is equivalent to its dual. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-self-dual-en-adj-MN0x1Sy6 Categories (other): English terms prefixed with self- Disambiguation of English terms prefixed with self-: 40 27 33 Topics: mathematics, sciences
  3. (mathematics) Of a graph or polyhedron, being the dual of itself. Tags: not-comparable Categories (topical): Mathematics Translations (of a graph or polyhedron, being the dual of itself): itseduaalinen (Finnish), selbstdual (German), samo-podwójny (Polish)
    Sense id: en-self-dual-en-adj-6IBjWOSF Categories (other): English terms prefixed with self- Disambiguation of English terms prefixed with self-: 40 27 33 Topics: mathematics, sciences Disambiguation of 'of a graph or polyhedron, being the dual of itself': 3 3 94
The following are not (yet) sense-disambiguated
Derived forms: anti-self-dual

Alternative forms

Download JSON data for self-dual meaning in English (3.6kB)

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        "(linear algebra) Of a vector space, isomorphic to its dual space."
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          "_dis1": "94 4 2",
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          "word": "itseduaalinen"
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          "code": "de",
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        "Of a graph or polyhedron, being the dual of itself."
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          "_dis1": "3 3 94",
          "code": "fi",
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          "sense": "of a graph or polyhedron, being the dual of itself",
          "word": "itseduaalinen"
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        }
      ]
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}
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      "code": "fi",
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      "sense": "of a vector space, isomorphic to its dual space",
      "word": "itseduaalinen"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "of a vector space, isomorphic to its dual space",
      "word": "selbstdual"
    },
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      "code": "pl",
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      "sense": "of a vector space, isomorphic to its dual space",
      "word": "samo-podwójny"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "of a graph or polyhedron, being the dual of itself",
      "word": "itseduaalinen"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "of a graph or polyhedron, being the dual of itself",
      "word": "selbstdual"
    },
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      "lang": "Polish",
      "sense": "of a graph or polyhedron, being the dual of itself",
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    }
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  "word": "self-dual"
}

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.