See eigenvector on Wiktionary
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"Dutch compound terms",
"Dutch entries with incorrect language header",
"Dutch lemmas",
"Dutch masculine nouns",
"Dutch nouns",
"Dutch nouns with lengthened vowel in the plural",
"Dutch nouns with plural in -en",
"Dutch terms calqued from German",
"Dutch terms derived from German",
"Pages with 3 entries",
"Pages with entries",
"nl:Linear algebra"
],
"glosses": [
"eigenvector"
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"eigenvector",
"eigenvector#English"
]
],
"raw_glosses": [
"(linear algebra) eigenvector"
],
"tags": [
"masculine"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˈɛi̯.ɣənˌvɛk.tɔr/"
},
{
"audio": "Nl-eigenvector.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/04/Nl-eigenvector.ogg/Nl-eigenvector.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/0/04/Nl-eigenvector.ogg"
}
],
"word": "eigenvector"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English hybridisms",
"English lemmas",
"English nouns",
"English terms derived from German",
"English terms partially calqued from German",
"English terms prefixed with eigen-",
"Entries with translation boxes",
"Pages with 3 entries",
"Pages with entries",
"Terms with Danish translations",
"Terms with Dutch translations",
"Terms with Estonian translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with German translations",
"Terms with Greek translations",
"Terms with Hebrew translations",
"Terms with Hindi translations",
"Terms with Icelandic translations",
"Terms with Italian translations",
"Terms with Japanese translations",
"Terms with Mandarin translations",
"Terms with Norwegian translations",
"Terms with Polish translations",
"Terms with Portuguese translations",
"Terms with Romanian translations",
"Terms with Russian translations",
"Terms with Spanish translations",
"Terms with Swedish translations",
"Terms with Welsh translations"
],
"derived": [
{
"word": "eigenvectorial"
},
{
"word": "eigenbivector"
},
{
"word": "left eigenvector"
},
{
"word": "right eigenvector"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "eigen",
"3": "vector"
},
"expansion": "eigen- + vector",
"name": "prefix"
},
{
"args": {
"1": "en",
"2": "de",
"3": "Eigenvektor",
"nocap": "1"
},
"expansion": "partial calque of German Eigenvektor",
"name": "partial translation"
}
],
"etymology_text": "From eigen- + vector, a partial calque of German Eigenvektor.\nThe prefix eigen- (also used in eigenvalue) was first used in 1904, by David Hilbert, and was possibly inspired by a related usage by Hermann von Helmholtz.",
"forms": [
{
"form": "eigenvectors",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "eigenvector (plural eigenvectors)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "eigenbasis"
},
{
"word": "eigenbrain"
},
{
"word": "eigendecomposition"
},
{
"word": "eigenface"
},
{
"word": "eigenfunction"
},
{
"word": "eigenhead"
},
{
"word": "eigenmode"
},
{
"word": "eigenpair"
},
{
"word": "eigenspace"
},
{
"word": "eigenspinor"
},
{
"word": "eigenstate"
},
{
"word": "eigensystem"
},
{
"word": "eigentheory"
},
{
"word": "eigenvalue"
},
{
"urls": [
"http://mathworld.wolfram.com/Eigenvector.html"
],
"word": "Mathworld article on eigenvectors"
}
],
"senses": [
{
"categories": [
"en:Linear algebra"
],
"glosses": [
"A vector that is not rotated under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue)."
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"vector",
"vector"
],
[
"linear transformation",
"linear transformation"
],
[
"left",
"left eigenvector"
],
[
"right eigenvector",
"right eigenvector"
],
[
"scalar",
"scalar"
],
[
"eigenvalue",
"eigenvalue"
]
],
"raw_glosses": [
"(linear algebra) A vector that is not rotated under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue)."
],
"synonyms": [
{
"word": "characteristic vector"
},
{
"word": "latent vector"
},
{
"word": "proper vector"
}
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Engineering",
"en:Physics"
],
"glosses": [
"A right eigenvector; given a matrix A, the eigenvector of the transformation \"left-side multiplication by A.\""
],
"links": [
[
"physics",
"physics"
],
[
"engineering",
"engineering#Noun"
],
[
"right eigenvector",
"right eigenvector"
],
[
"matrix",
"matrix"
]
],
"raw_glosses": [
"(physics, engineering) A right eigenvector; given a matrix A, the eigenvector of the transformation \"left-side multiplication by A.\""
],
"topics": [
"engineering",
"natural-sciences",
"physical-sciences",
"physics"
]
}
],
"sounds": [
{
"audio": "en-us-eigenvector.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/e8/En-us-eigenvector.ogg/En-us-eigenvector.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/e/e8/En-us-eigenvector.ogg"
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "běnzhēng xiàngliàng",
"sense": "vector not rotated by linear transformation",
"word": "本徵向量 /本征向量"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "tèzhēng xiàngliàng",
"sense": "vector not rotated by linear transformation",
"word": "特徵向量 /特征向量"
},
{
"code": "da",
"lang": "Danish",
"sense": "vector not rotated by linear transformation",
"tags": [
"common-gender"
],
"word": "egenvektor"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "eigenvector"
},
{
"code": "et",
"lang": "Estonian",
"sense": "vector not rotated by linear transformation",
"word": "omavektor"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "vector not rotated by linear transformation",
"word": "ominaisvektori"
},
{
"code": "fr",
"lang": "French",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "vecteur propre"
},
{
"code": "de",
"lang": "German",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "Eigenvektor"
},
{
"code": "el",
"lang": "Greek",
"roman": "idiodiánysma",
"sense": "vector not rotated by linear transformation",
"tags": [
"neuter"
],
"word": "ιδιοδιάνυσμα"
},
{
"code": "he",
"lang": "Hebrew",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "וֶקְטוֹר עַצְמִי"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "abhilakṣaṇik sadiś",
"sense": "vector not rotated by linear transformation",
"word": "अभिलक्षणिक सदिश"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "eiginvigur"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "eiginvektor"
},
{
"code": "it",
"lang": "Italian",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "autovettore"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "koyū bekutoru",
"sense": "vector not rotated by linear transformation",
"word": "固有ベクトル"
},
{
"code": "no",
"lang": "Norwegian Bokmål",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "egenvektor"
},
{
"code": "no",
"lang": "Norwegian Nynorsk",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "eigenvektor"
},
{
"code": "pl",
"lang": "Polish",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "wektor własny"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "autovetor"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "vetor próprio"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "vector propriu"
},
{
"code": "ru",
"lang": "Russian",
"roman": "sóbstvennyj véktor",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "со́бственный ве́ктор"
},
{
"code": "es",
"lang": "Spanish",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "vector propio"
},
{
"code": "es",
"lang": "Spanish",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "autovector"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "vector not rotated by linear transformation",
"tags": [
"common-gender"
],
"word": "egenvektor"
},
{
"code": "cy",
"lang": "Welsh",
"sense": "vector not rotated by linear transformation",
"tags": [
"masculine"
],
"word": "fector eigen"
}
],
"wikipedia": [
"David Hilbert",
"Hermann von Helmholtz",
"eigenvector"
],
"word": "eigenvector"
}
{
"forms": [
{
"form": "eigenvectores",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "m"
},
"expansion": "eigenvector m (plural eigenvectores)",
"name": "es-noun"
}
],
"lang": "Spanish",
"lang_code": "es",
"pos": "noun",
"senses": [
{
"categories": [
"Pages with 3 entries",
"Pages with entries",
"Spanish countable nouns",
"Spanish entries with incorrect language header",
"Spanish lemmas",
"Spanish masculine nouns",
"Spanish nouns",
"es:Linear algebra"
],
"glosses": [
"eigenvector"
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"eigenvector",
"eigenvector#English"
]
],
"raw_glosses": [
"(linear algebra) eigenvector"
],
"synonyms": [
{
"word": "autovector"
},
{
"word": "vector propio"
}
],
"tags": [
"masculine"
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"word": "eigenvector"
}
Download raw JSONL data for eigenvector meaning in All languages combined (10.3kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). 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.