See eigenspace in All languages combined, or Wiktionary
Download JSON data for eigenspace meaning in English (4.5kB)
{
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"1": "en",
"2": "eigen",
"3": "space"
},
"expansion": "eigen- + space",
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],
"etymology_text": "eigen- + space",
"forms": [
{
"form": "eigenspaces",
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"plural"
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{
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{
"kind": "topical",
"langcode": "en",
"name": "Linear algebra",
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"parents": [
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],
"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",
"sense": "set of the eigenvectors associated with a particular eigenvalue",
"word": "特徵空間"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "tèzhēng kōngjiān",
"sense": "set of the eigenvectors associated with a particular eigenvalue",
"word": "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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"2": "eigen",
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"expansion": "eigen- + space",
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],
"etymology_text": "eigen- + space",
"forms": [
{
"form": "eigenspaces",
"tags": [
"plural"
]
}
],
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{
"args": {},
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"pos": "noun",
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"word": "eigenbasis"
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{
"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"
}
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"categories": [
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"English entries with incorrect language header",
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"English terms prefixed with eigen-",
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"Mandarin terms with redundant transliterations",
"Requests for gender in Icelandic entries",
"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"
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],
[
"eigenvalue",
"eigenvalue"
],
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]
],
"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",
"sense": "set of the eigenvectors associated with a particular eigenvalue",
"word": "特徵空間"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "tèzhēng kōngjiān",
"sense": "set of the eigenvectors associated with a particular eigenvalue",
"word": "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"
}
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.
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