"pseudohermitian" meaning in All languages combined

See pseudohermitian on Wiktionary

Adjective [English]

Etymology: pseudo- + hermitian Etymology templates: {{prefix|en|pseudo|hermitian}} pseudo- + hermitian Head templates: {{en-adj|-}} pseudohermitian (not comparable)
  1. (mathematics) Having the Hermitian properties except that the eigenvalues may be complex and the eigenvectors need not be orthogonal. Tags: not-comparable Categories (topical): Mathematics Synonyms: pseudo-Hermitian
    Sense id: en-pseudohermitian-en-adj-cDsIk1FF Categories (other): English entries with incorrect language header, English terms prefixed with pseudo- Topics: mathematics, sciences

Download JSON data for pseudohermitian meaning in All languages combined (1.7kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "pseudo",
        "3": "hermitian"
      },
      "expansion": "pseudo- + hermitian",
      "name": "prefix"
    }
  ],
  "etymology_text": "pseudo- + hermitian",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "pseudohermitian (not comparable)",
      "name": "en-adj"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "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"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with pseudo-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Sean N. Curry, A. Rod Gover, “CR embedded submanifolds of CR manifolds”, in arXiv",
          "text": "This enables straightforward and explicit calculation of the pseudohermitian invariants of the embedding which are also CR invariant.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Having the Hermitian properties except that the eigenvalues may be complex and the eigenvectors need not be orthogonal."
      ],
      "id": "en-pseudohermitian-en-adj-cDsIk1FF",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Hermitian",
          "Hermitian"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "complex",
          "complex"
        ],
        [
          "eigenvector",
          "eigenvector"
        ],
        [
          "orthogonal",
          "orthogonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Having the Hermitian properties except that the eigenvalues may be complex and the eigenvectors need not be orthogonal."
      ],
      "synonyms": [
        {
          "word": "pseudo-Hermitian"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "pseudohermitian"
}
{
  "etymology_templates": [
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      "args": {
        "1": "en",
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        "3": "hermitian"
      },
      "expansion": "pseudo- + hermitian",
      "name": "prefix"
    }
  ],
  "etymology_text": "pseudo- + hermitian",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "pseudohermitian (not comparable)",
      "name": "en-adj"
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
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      "categories": [
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        "English uncomparable adjectives",
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      "examples": [
        {
          "ref": "2015, Sean N. Curry, A. Rod Gover, “CR embedded submanifolds of CR manifolds”, in arXiv",
          "text": "This enables straightforward and explicit calculation of the pseudohermitian invariants of the embedding which are also CR invariant.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Having the Hermitian properties except that the eigenvalues may be complex and the eigenvectors need not be orthogonal."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Hermitian",
          "Hermitian"
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          "eigenvalue"
        ],
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          "complex",
          "complex"
        ],
        [
          "eigenvector",
          "eigenvector"
        ],
        [
          "orthogonal",
          "orthogonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Having the Hermitian properties except that the eigenvalues may be complex and the eigenvectors need not be orthogonal."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "pseudo-Hermitian"
    }
  ],
  "word": "pseudohermitian"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.