"Pfaffian" meaning in All languages combined

See Pfaffian on Wiktionary

Noun [English]

IPA: /ˈfæfɪən/ Forms: Pfaffians [plural]
Etymology: From Pfaff + -ian, after Johann Friedrich Pfaff. Etymology templates: {{suffix|en|Pfaff|ian}} Pfaff + -ian Head templates: {{en-noun}} Pfaffian (plural Pfaffians)
  1. (mathematics) The determinant of a skew-symmetric matrix, capable of being written as the square of a polynomial in the matrix entries. Categories (topical): Mathematics
    Sense id: en-Pfaffian-en-noun-x9i-YVWD Categories (other): English terms suffixed with -ian Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Etymology number: 1

Noun [English]

IPA: /ˈfæfɪən/ Forms: Pfaffians [plural]
Etymology: After Charles Ignatious Pfaff, the founder of the restaurant. Head templates: {{en-noun}} Pfaffian (plural Pfaffians)
  1. (historical) A member of a circle of artists that met at Pfaff's, a restaurant on Broadway. Tags: historical Synonyms: pfaffian
    Sense id: en-Pfaffian-en-noun-Fxr45zO3 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 26 74 Disambiguation of Pages with 1 entry: 25 75 Disambiguation of Pages with entries: 20 80
The following are not (yet) sense-disambiguated
Etymology number: 2

Inflected forms

Alternative forms

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "Pfaff",
        "3": "ian"
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    }
  ],
  "etymology_text": "From Pfaff + -ian, after Johann Friedrich Pfaff.",
  "forms": [
    {
      "form": "Pfaffians",
      "tags": [
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      "args": {},
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      "name": "en-noun"
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  "senses": [
    {
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            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -ian",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "ref": "1993, Chris Godsil, “Pfaffians”, in Algebraic Combinatorics, page 113:",
          "text": "If A is a skew symmetric matrix then det A is the square of a polynomial in the entries of A. This polynomial is known as the Pfaffian of A, and we denote it by Sym(pf A).",
          "type": "quote"
        }
      ],
      "glosses": [
        "The determinant of a skew-symmetric matrix, capable of being written as the square of a polynomial in the matrix entries."
      ],
      "id": "en-Pfaffian-en-noun-x9i-YVWD",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "determinant",
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        [
          "skew-symmetric",
          "skew-symmetric"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "square",
          "square"
        ],
        [
          "polynomial",
          "polynomial"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The determinant of a skew-symmetric matrix, capable of being written as the square of a polynomial in the matrix entries."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈfæfɪən/"
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  ],
  "wikipedia": [
    "Johann Friedrich Pfaff"
  ],
  "word": "Pfaffian"
}

{
  "etymology_number": 2,
  "etymology_text": "After Charles Ignatious Pfaff, the founder of the restaurant.",
  "forms": [
    {
      "form": "Pfaffians",
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        "plural"
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          "_dis": "26 74",
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      "examples": [
        {
          "ref": "1897 March 11, The Conservator:",
          "text": "Charles E. Hurd, assistant editor of the Boston Transcript, has published in the Commercial Bulletin an academic account of the literary Bohemia of New York at the time the Pfaffians flourished and Ada Clare, Whitman's friend, reigned as its queen.",
          "type": "quote"
        },
        {
          "ref": "1999, Ronald Lora, The Conservative Press in Eighteenth-and Nineteenth-century America, page 140:",
          "text": "While the publication became noted for its conservatism, the Pfaffians, inspired by the writings of Henri Murger and visits to Parisian bohemian quarters, avowedly dismissed the restraints of convention and pursued a freewheeling personal lifestyle.",
          "type": "quote"
        },
        {
          "ref": "2009, Joanna Levin, Bohemia in America, 1858–1920, page 70:",
          "text": "SHORTLY AFTER THE PFAFFIANS announced their version of la vie bohème in the Saturday Press, the mythos of Bohemia traveled to San Francisco.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A member of a circle of artists that met at Pfaff's, a restaurant on Broadway."
      ],
      "id": "en-Pfaffian-en-noun-Fxr45zO3",
      "raw_glosses": [
        "(historical) A member of a circle of artists that met at Pfaff's, a restaurant on Broadway."
      ],
      "synonyms": [
        {
          "_dis1": "22 78",
          "word": "pfaffian"
        }
      ],
      "tags": [
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    {
      "ipa": "/ˈfæfɪən/"
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  "etymology_text": "From Pfaff + -ian, after Johann Friedrich Pfaff.",
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        {
          "ref": "1993, Chris Godsil, “Pfaffians”, in Algebraic Combinatorics, page 113:",
          "text": "If A is a skew symmetric matrix then det A is the square of a polynomial in the entries of A. This polynomial is known as the Pfaffian of A, and we denote it by Sym(pf A).",
          "type": "quote"
        }
      ],
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        "The determinant of a skew-symmetric matrix, capable of being written as the square of a polynomial in the matrix entries."
      ],
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        ],
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        "(mathematics) The determinant of a skew-symmetric matrix, capable of being written as the square of a polynomial in the matrix entries."
      ],
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        "mathematics",
        "sciences"
      ]
    }
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    {
      "ipa": "/ˈfæfɪən/"
    }
  ],
  "synonyms": [
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  ],
  "wikipedia": [
    "Johann Friedrich Pfaff"
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          "ref": "1897 March 11, The Conservator:",
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          "type": "quote"
        },
        {
          "ref": "1999, Ronald Lora, The Conservative Press in Eighteenth-and Nineteenth-century America, page 140:",
          "text": "While the publication became noted for its conservatism, the Pfaffians, inspired by the writings of Henri Murger and visits to Parisian bohemian quarters, avowedly dismissed the restraints of convention and pursued a freewheeling personal lifestyle.",
          "type": "quote"
        },
        {
          "ref": "2009, Joanna Levin, Bohemia in America, 1858–1920, page 70:",
          "text": "SHORTLY AFTER THE PFAFFIANS announced their version of la vie bohème in the Saturday Press, the mythos of Bohemia traveled to San Francisco.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A member of a circle of artists that met at Pfaff's, a restaurant on Broadway."
      ],
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        "(historical) A member of a circle of artists that met at Pfaff's, a restaurant on Broadway."
      ],
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        "historical"
      ]
    }
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    {
      "ipa": "/ˈfæfɪən/"
    }
  ],
  "synonyms": [
    {
      "word": "pfaffian"
    }
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  "word": "Pfaffian"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-12 from the enwiktionary dump dated 2025-02-02 using wiktextract (1c4b89b and 9dbd323). 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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