"eigenspace" meaning in All languages combined

See eigenspace on Wiktionary

Noun [English]

Forms: eigenspaces [plural]
Etymology: From eigen- + space. Etymology templates: {{prefix|en|eigen|space}} eigen- + space Head templates: {{en-noun}} eigenspace (plural eigenspaces)
  1. (linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector. Translations (set of the eigenvectors associated with a particular eigenvalue): eigenhapësirë [feminine] (Albanian), 特徵空間 /特征空间 (tèzhēng kōngjiān) (Chinese Mandarin), egenrum [neuter] (Danish), eigenruimte [feminine] (Dutch), ominaisavaruus (Finnish), espace propre [masculine] (French), Eigenraum [masculine] (German), ιδιόχωρος (idióchoros) [masculine] (Greek), eiginrúm (Icelandic), autospazio [masculine] (Italian), со́бственное простра́нство (sóbstvennoje prostránstvo) [neuter] (Russian), espacio propio [masculine] (Spanish), autoespacio [masculine] (Spanish), eigenespacio [masculine] (Spanish), suispacio [masculine] (Spanish)

Inflected forms

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      "expansion": "eigen- + space",
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  "etymology_text": "From eigen- + space.",
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      "form": "eigenspaces",
      "tags": [
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        "The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector."
      ],
      "id": "en-eigenspace-en-noun-wWLAxAOF",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "linear subspace",
          "linear subspace"
        ],
        [
          "eigenvector",
          "eigenvector"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "zero vector",
          "zero vector"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector."
      ],
      "related": [
        {
          "word": "eigenbasis"
        },
        {
          "word": "eigenbrain"
        },
        {
          "word": "eigendecomposition"
        },
        {
          "word": "eigen decomposition"
        },
        {
          "word": "eigenface"
        },
        {
          "word": "eigenfunction"
        },
        {
          "word": "eigenhead"
        },
        {
          "word": "eigenmode"
        },
        {
          "word": "eigenpair"
        },
        {
          "word": "eigenspinor"
        },
        {
          "word": "eigenstate"
        },
        {
          "word": "eigensystem"
        },
        {
          "word": "eigentheory"
        },
        {
          "word": "eigenvalue"
        },
        {
          "word": "eigenvector"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "sq",
          "lang": "Albanian",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "feminine"
          ],
          "word": "eigenhapësirë"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "tèzhēng kōngjiān",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "word": "特徵空間 /特征空间"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "neuter"
          ],
          "word": "egenrum"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "feminine"
          ],
          "word": "eigenruimte"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "word": "ominaisavaruus"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "masculine"
          ],
          "word": "espace propre"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "masculine"
          ],
          "word": "Eigenraum"
        },
        {
          "code": "el",
          "lang": "Greek",
          "roman": "idióchoros",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "masculine"
          ],
          "word": "ιδιόχωρος"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "word": "eiginrúm"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "masculine"
          ],
          "word": "autospazio"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "sóbstvennoje prostránstvo",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "neuter"
          ],
          "word": "со́бственное простра́нство"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "masculine"
          ],
          "word": "espacio propio"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "masculine"
          ],
          "word": "autoespacio"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "masculine"
          ],
          "word": "eigenespacio"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "set of the eigenvectors associated with a particular eigenvalue",
          "tags": [
            "masculine"
          ],
          "word": "suispacio"
        }
      ]
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  "word": "eigenspace"
}
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  "etymology_text": "From eigen- + space.",
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      "word": "eigenbrain"
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      "word": "eigendecomposition"
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      "word": "eigen decomposition"
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      "word": "eigenface"
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    {
      "word": "eigenfunction"
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      "word": "eigenhead"
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      "word": "eigenmode"
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      "word": "eigenpair"
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      "word": "eigenspinor"
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      "word": "eigenstate"
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      "word": "eigensystem"
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      "word": "eigenvalue"
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        "Terms with Icelandic translations",
        "Terms with Italian translations",
        "Terms with Mandarin translations",
        "Terms with Russian translations",
        "Terms with Spanish translations",
        "en:Linear algebra"
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        "The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector."
      ],
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          "linear algebra"
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          "linear subspace",
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          "eigenvalue",
          "eigenvalue"
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          "zero vector"
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        "(linear algebra) The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector."
      ],
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        "linear-algebra",
        "mathematics",
        "sciences"
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    {
      "code": "sq",
      "lang": "Albanian",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "feminine"
      ],
      "word": "eigenhapësirë"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "tèzhēng kōngjiān",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "word": "特徵空間 /特征空间"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "neuter"
      ],
      "word": "egenrum"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "feminine"
      ],
      "word": "eigenruimte"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "word": "ominaisavaruus"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "masculine"
      ],
      "word": "espace propre"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "masculine"
      ],
      "word": "Eigenraum"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "idióchoros",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "masculine"
      ],
      "word": "ιδιόχωρος"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "word": "eiginrúm"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "masculine"
      ],
      "word": "autospazio"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "sóbstvennoje prostránstvo",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "neuter"
      ],
      "word": "со́бственное простра́нство"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "masculine"
      ],
      "word": "espacio propio"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "masculine"
      ],
      "word": "autoespacio"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "masculine"
      ],
      "word": "eigenespacio"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "set of the eigenvectors associated with a particular eigenvalue",
      "tags": [
        "masculine"
      ],
      "word": "suispacio"
    }
  ],
  "word": "eigenspace"
}

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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 2025-05-27 from the enwiktionary dump dated 2025-05-20 using wiktextract (a4e883e and f1c2b61). 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.