"eigensymbol" meaning in English

See eigensymbol in All languages combined, or Wiktionary

Noun

Forms: eigensymbols [plural]
Etymology: eigen- + symbol Etymology templates: {{prefix|en|eigen|symbol}} eigen- + symbol Head templates: {{en-noun}} eigensymbol (plural eigensymbols)
  1. (mathematics) The symbol for an eigenvector. Categories (topical): Mathematics
    Sense id: en-eigensymbol-en-noun-qoUloJcW Categories (other): English entries with incorrect language header, English terms prefixed with eigen- Topics: mathematics, sciences

Inflected forms

Download JSON data for eigensymbol meaning in English (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "eigen",
        "3": "symbol"
      },
      "expansion": "eigen- + symbol",
      "name": "prefix"
    }
  ],
  "etymology_text": "eigen- + symbol",
  "forms": [
    {
      "form": "eigensymbols",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "eigensymbol (plural eigensymbols)",
      "name": "en-noun"
    }
  ],
  "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"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "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"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Nathan C. Ryan, Nicolás Sirolli, Nils-Peter Skoruppa, Gonzalo Tornaría, “Computing Jacobi Forms”, in arXiv",
          "text": "Since this method allows to generate a Jacobi eigenform directly from a given modular eigensymbol without reference to the whole ambient space of Jacobi forms it makes it possible to compute Jacobi Hecke eigenforms of large index.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The symbol for an eigenvector."
      ],
      "id": "en-eigensymbol-en-noun-qoUloJcW",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "symbol",
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        ],
        [
          "eigenvector",
          "eigenvector"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The symbol for an eigenvector."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigensymbol"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "eigen",
        "3": "symbol"
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      "name": "prefix"
    }
  ],
  "etymology_text": "eigen- + symbol",
  "forms": [
    {
      "form": "eigensymbols",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "eigensymbol (plural eigensymbols)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
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        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Nathan C. Ryan, Nicolás Sirolli, Nils-Peter Skoruppa, Gonzalo Tornaría, “Computing Jacobi Forms”, in arXiv",
          "text": "Since this method allows to generate a Jacobi eigenform directly from a given modular eigensymbol without reference to the whole ambient space of Jacobi forms it makes it possible to compute Jacobi Hecke eigenforms of large index.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The symbol for an eigenvector."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "symbol",
          "symbol"
        ],
        [
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        ]
      ],
      "raw_glosses": [
        "(mathematics) The symbol for an eigenvector."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigensymbol"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.