"eigenbasis" meaning in English

See eigenbasis in All languages combined, or Wiktionary

Noun

Forms: eigenbases [plural]
Etymology: eigen- + basis Etymology templates: {{prefix|en|eigen|basis}} eigen- + basis Head templates: {{en-noun|eigenbases}} eigenbasis (plural eigenbases)
  1. (mathematics) A basis for a vector space consisting entirely of eigenvectors. Categories (topical): Mathematics Translations (basis of a vector space consisting entirely of eigenvectors): Eigenbasis [feminine] (German)

Inflected forms

Download JSON data for eigenbasis meaning in English (1.7kB)

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      "args": {
        "1": "en",
        "2": "eigen",
        "3": "basis"
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  ],
  "etymology_text": "eigen- + basis",
  "forms": [
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      "tags": [
        "plural"
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  "head_templates": [
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "orig": "en:Mathematics",
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          "source": "w"
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      ],
      "glosses": [
        "A basis for a vector space consisting entirely of eigenvectors."
      ],
      "id": "en-eigenbasis-en-noun-b-aThdXn",
      "links": [
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        ],
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        ]
      ],
      "raw_glosses": [
        "(mathematics) A basis for a vector space consisting entirely of eigenvectors."
      ],
      "related": [
        {
          "word": "eigenbrain"
        },
        {
          "word": "eigendecomposition"
        },
        {
          "word": "eigen decomposition"
        },
        {
          "word": "eigenface"
        },
        {
          "word": "eigenfunction"
        },
        {
          "word": "eigenhead"
        },
        {
          "word": "eigenmode"
        },
        {
          "word": "eigenpair"
        },
        {
          "word": "eigenspace"
        },
        {
          "word": "eigenspinor"
        },
        {
          "word": "eigenstate"
        },
        {
          "word": "eigensystem"
        },
        {
          "word": "eigentheory"
        },
        {
          "word": "eigenvalue"
        },
        {
          "word": "eigenvector"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
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      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "basis of a vector space consisting entirely of eigenvectors",
          "tags": [
            "feminine"
          ],
          "word": "Eigenbasis"
        }
      ]
    }
  ],
  "word": "eigenbasis"
}
{
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  "etymology_text": "eigen- + basis",
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      "form": "eigenbases",
      "tags": [
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "eigenbrain"
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    {
      "word": "eigendecomposition"
    },
    {
      "word": "eigen decomposition"
    },
    {
      "word": "eigenface"
    },
    {
      "word": "eigenfunction"
    },
    {
      "word": "eigenhead"
    },
    {
      "word": "eigenmode"
    },
    {
      "word": "eigenpair"
    },
    {
      "word": "eigenspace"
    },
    {
      "word": "eigenspinor"
    },
    {
      "word": "eigenstate"
    },
    {
      "word": "eigensystem"
    },
    {
      "word": "eigentheory"
    },
    {
      "word": "eigenvalue"
    },
    {
      "word": "eigenvector"
    }
  ],
  "senses": [
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      "glosses": [
        "A basis for a vector space consisting entirely of eigenvectors."
      ],
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        "(mathematics) A basis for a vector space consisting entirely of eigenvectors."
      ],
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        "mathematics",
        "sciences"
      ]
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  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "basis of a vector space consisting entirely of eigenvectors",
      "tags": [
        "feminine"
      ],
      "word": "Eigenbasis"
    }
  ],
  "word": "eigenbasis"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-12 from the enwiktionary dump dated 2024-05-02 using wiktextract (ae36afe and 304864d). 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.