"eigenoperator" meaning in All languages combined

See eigenoperator on Wiktionary

Noun [English]

Forms: eigenoperators [plural]
Etymology: eigen- + operator Etymology templates: {{prefix|en|eigen|operator}} eigen- + operator Head templates: {{en-noun}} eigenoperator (plural eigenoperators)
  1. (mathematics) An operator (endomorphism) involving an eigenvalue Wikipedia link: en:eigenoperator Categories (topical): Mathematics
    Sense id: en-eigenoperator-en-noun-ctXTPtG4 Categories (other): English entries with incorrect language header, English terms prefixed with eigen- Topics: mathematics, sciences

Inflected forms

Download JSON data for eigenoperator meaning in All languages combined (1.6kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "eigen",
        "3": "operator"
      },
      "expansion": "eigen- + operator",
      "name": "prefix"
    }
  ],
  "etymology_text": "eigen- + operator",
  "forms": [
    {
      "form": "eigenoperators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "eigenoperator (plural eigenoperators)",
      "name": "en-noun"
    }
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  "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"
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          "source": "w"
        },
        {
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          "name": "English terms prefixed with eigen-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, James Haglund, Jeffrey Remmel, Andrew Timothy Wilson, “The Delta Conjecture”, in arXiv",
          "text": "We conjecture two combinatorial interpretations for the symmetric function #x5C;Delta#x5F;#x7B;e#x5F;k#x7D;e#x5F;n, where #x5C;Delta#x5F;f is an eigenoperator for the modified Macdonald polynomials defined by Garsia and Haiman.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An operator (endomorphism) involving an eigenvalue"
      ],
      "id": "en-eigenoperator-en-noun-ctXTPtG4",
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "operator",
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        ],
        [
          "endomorphism",
          "endomorphism"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An operator (endomorphism) involving an eigenvalue"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
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      ]
    }
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  "word": "eigenoperator"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "eigen",
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  "etymology_text": "eigen- + operator",
  "forms": [
    {
      "form": "eigenoperators",
      "tags": [
        "plural"
      ]
    }
  ],
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      "args": {},
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  "pos": "noun",
  "senses": [
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      "examples": [
        {
          "ref": "2015, James Haglund, Jeffrey Remmel, Andrew Timothy Wilson, “The Delta Conjecture”, in arXiv",
          "text": "We conjecture two combinatorial interpretations for the symmetric function #x5C;Delta#x5F;#x7B;e#x5F;k#x7D;e#x5F;n, where #x5C;Delta#x5F;f is an eigenoperator for the modified Macdonald polynomials defined by Garsia and Haiman.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "An operator (endomorphism) involving an eigenvalue"
      ],
      "links": [
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          "mathematics",
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          "operator",
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        ],
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          "endomorphism",
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        ],
        [
          "eigenvalue",
          "eigenvalue"
        ]
      ],
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        "(mathematics) An operator (endomorphism) involving an eigenvalue"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
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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 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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.