See eigenspace in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "eigen", "3": "space" }, "expansion": "eigen- + space", "name": "prefix" } ], "etymology_text": "From eigen- + space.", "forms": [ { "form": "eigenspaces", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "eigenspace (plural eigenspaces)", "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": "other", "name": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Greek terms with redundant script codes", "parents": [ "Terms with redundant script codes", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Mandarin terms with redundant transliterations", "parents": [ "Terms with redundant transliterations", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Danish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Dutch translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Greek translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Mandarin translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Russian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Linear algebra", "orig": "en:Linear algebra", "parents": [ "Algebra", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "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": "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" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "eigen", "3": "space" }, "expansion": "eigen- + space", "name": "prefix" } ], "etymology_text": "From eigen- + space.", "forms": [ { "form": "eigenspaces", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "eigenspace (plural eigenspaces)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "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" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with eigen-", "Entries with translation boxes", "Greek terms with redundant script codes", "Mandarin terms with redundant transliterations", "Pages with 1 entry", "Pages with entries", "Requests for gender in Icelandic entries", "Terms with Danish translations", "Terms with Dutch translations", "Terms with Finnish translations", "Terms with French translations", "Terms with German translations", "Terms with Greek translations", "Terms with Icelandic translations", "Terms with Italian translations", "Terms with Mandarin translations", "Terms with Russian translations", "Terms with Spanish translations", "en:Linear algebra" ], "glosses": [ "The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector." ], "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." ], "topics": [ "linear-algebra", "mathematics", "sciences" ] } ], "translations": [ { "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 English dictionary. This dictionary is based on structured data extracted on 2025-03-26 from the enwiktionary dump dated 2025-03-21 using wiktextract (fef8596 and 633533e). 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.
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