See eigenvalue in All languages combined, or Wiktionary
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "eigen",
"3": "value"
},
"expansion": "eigen- + value",
"name": "prefix"
},
{
"args": {
"1": "en",
"2": "de",
"3": "Eigenwert",
"nocap": "1"
},
"expansion": "partial calque of German Eigenwert",
"name": "partial translation"
}
],
"etymology_text": "From eigen- + value, a partial calque of German Eigenwert.",
"forms": [
{
"form": "eigenvalues",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "eigenvalue (plural eigenvalues)",
"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 hybridisms",
"parents": [],
"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": "Hebrew 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 Czech translations",
"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 Estonian 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 Hebrew translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Hindi 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 Japanese translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Lithuanian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Mandarin translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Norwegian Bokmål translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Norwegian Nynorsk translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Persian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Portuguese translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Slovak translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Welsh 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"
}
],
"examples": [
{
"text": "The eigenvalues #x5C;lambda of a square transformation matrix #x5C;mathrm#x7B;M#x7D; may be found by solving #x5C;det(#x5C;mathrm#x7B;M#x7D;-#x5C;lambda#x5C;mathrm#x7B;I#x7D;)#x3D;0.",
"type": "example"
},
{
"ref": "1972, F. V. Atkinson, Multiparameter Eigenvalue Problems, Volume I: Matrices and Compact Operators, Academic Press, page x:",
"text": "In the extension, one associates eigenvalues, sets of scalars, with arrays of matrices by considering the singularity of linear combinations of the matrices in the various rows, involving the same coefficients in each case. Attention to this area was called in the early 1920's by R. D. Carmichael, who pointed out in addition the enormous variety of mixed eigenvalue problems with several parameters.",
"type": "quote"
},
{
"ref": "2000, John von Neumann, E. Wigner, “On the Behaviour of Eigenvalues in Adiabatic Processes”, in Hinne Hettema, transl., edited by Hinne Hettema, Quantum Chemistry: Classic Scientific Papers, World Scientific, published 1929, page 25:",
"text": "For many quantum-mechanical problems it is important to investigate the change of eigenvalues and eigenfunctions with the continuous change of one or more parameters. The case in which one knows the eigenvalues and eigenfunctions for two special values of the parameters, and is interested in the region in between is particularly interesting.",
"type": "quote"
},
{
"ref": "2005, Leonid D. Akulenko, Sergei V. Nesterov, High-Precision Methods in Eigenvalue Problems and Their Applications, CRC Press (Chapman & Hall), page 1:",
"text": "Problems that require an investigation of eigenvalues and eigenfunctions arise in connection with numerous topics in mechanics, the theory of vibrations and stability, hydrodynamics, elasticity, acoustics, electrodynamics, quantum mechanics, etc.",
"type": "quote"
}
],
"glosses": [
"A scalar, λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator A is equal to the image of x under multiplication by λ; i.e. Ax=λx."
],
"id": "en-eigenvalue-en-noun-8Bsj9Clq",
"links": [
[
"linear algebra",
"linear algebra"
],
[
"scalar",
"scalar"
],
[
"vector",
"vector"
],
[
"eigenvector",
"eigenvector"
],
[
"image",
"image"
],
[
"linear operator",
"linear operator"
],
[
"multiplication",
"multiplication"
]
],
"raw_glosses": [
"(linear algebra) A scalar, λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator A is equal to the image of x under multiplication by λ; i.e. Ax=λx."
],
"related": [
{
"word": "eigenbasis"
},
{
"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": "eigenvector"
}
],
"synonyms": [
{
"sense": "scalar multiplier of an eigenvector",
"word": "characteristic root"
},
{
"sense": "scalar multiplier of an eigenvector",
"word": "characteristic value"
},
{
"sense": "scalar multiplier of an eigenvector",
"word": "eigenroot"
},
{
"sense": "scalar multiplier of an eigenvector",
"word": "latent value"
},
{
"sense": "scalar multiplier of an eigenvector",
"word": "proper value"
}
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "scalar multiplier of an eigenvector",
"word": "特徵值"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "tèzhēngzhí",
"sense": "scalar multiplier of an eigenvector",
"word": "特征值"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "scalar multiplier of an eigenvector",
"word": "本徵值"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "běnzhēngzhí",
"sense": "scalar multiplier of an eigenvector",
"word": "本征值"
},
{
"code": "cs",
"lang": "Czech",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "vlastní hodnota"
},
{
"code": "da",
"lang": "Danish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"common-gender"
],
"word": "egenværdi"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "eigenwaarde"
},
{
"code": "et",
"lang": "Estonian",
"sense": "scalar multiplier of an eigenvector",
"word": "omaväärtus"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "scalar multiplier of an eigenvector",
"word": "ominaisarvo"
},
{
"code": "fr",
"lang": "French",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "valeur propre"
},
{
"code": "de",
"lang": "German",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "Eigenwert"
},
{
"code": "el",
"lang": "Greek",
"roman": "idiotimí",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "ιδιοτιμή"
},
{
"code": "he",
"lang": "Hebrew",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "עֵרֶךְ עַצְמִי"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "abhilākṣaṇik mān",
"sense": "scalar multiplier of an eigenvector",
"word": "अभिलाक्षणिक मान"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"neuter"
],
"word": "eigingildi"
},
{
"code": "it",
"lang": "Italian",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "autovalore"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "koyūchi",
"sense": "scalar multiplier of an eigenvector",
"word": "固有値"
},
{
"code": "lt",
"lang": "Lithuanian",
"sense": "scalar multiplier of an eigenvector",
"word": "tikrinė reikšmė"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "egenverdi"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "eigenverdi"
},
{
"code": "fa",
"lang": "Persian",
"roman": "meqdâr-e viže",
"sense": "scalar multiplier of an eigenvector",
"word": "مقدار ویژه"
},
{
"code": "pl",
"lang": "Polish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "wartość własna"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"Portugal",
"masculine"
],
"word": "valor próprio"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"Brazil",
"masculine"
],
"word": "autovalor"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "valoare proprie"
},
{
"code": "ru",
"lang": "Russian",
"roman": "sóbstvennoje značénije",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"neuter"
],
"word": "со́бственное значе́ние"
},
{
"code": "sk",
"lang": "Slovak",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "vlastná hodnota"
},
{
"code": "es",
"lang": "Spanish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "autovalor"
},
{
"code": "es",
"lang": "Spanish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "valor propio"
},
{
"code": "es",
"lang": "Spanish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"dated",
"masculine"
],
"word": "valor característico"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"neuter"
],
"word": "egenvärde"
},
{
"code": "cy",
"lang": "Welsh",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "gwerth eigen"
}
]
}
],
"sounds": [
{
"enpr": "īʹgən'vălyo͞o"
},
{
"ipa": "/ˈaɪɡənˌvæljuː/"
},
{
"audio": "en-us-eigenvalue.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/4/4f/En-us-eigenvalue.ogg/En-us-eigenvalue.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/4/4f/En-us-eigenvalue.ogg"
}
],
"word": "eigenvalue"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "eigen",
"3": "value"
},
"expansion": "eigen- + value",
"name": "prefix"
},
{
"args": {
"1": "en",
"2": "de",
"3": "Eigenwert",
"nocap": "1"
},
"expansion": "partial calque of German Eigenwert",
"name": "partial translation"
}
],
"etymology_text": "From eigen- + value, a partial calque of German Eigenwert.",
"forms": [
{
"form": "eigenvalues",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "eigenvalue (plural eigenvalues)",
"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": "eigenspace"
},
{
"word": "eigenspinor"
},
{
"word": "eigenstate"
},
{
"word": "eigensystem"
},
{
"word": "eigentheory"
},
{
"word": "eigenvector"
}
],
"senses": [
{
"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-",
"English terms with quotations",
"English terms with usage examples",
"Entries with translation boxes",
"Hebrew terms with redundant script codes",
"Mandarin terms with redundant transliterations",
"Pages with 1 entry",
"Pages with entries",
"Terms with Czech translations",
"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 Lithuanian translations",
"Terms with Mandarin translations",
"Terms with Norwegian Bokmål translations",
"Terms with Norwegian Nynorsk translations",
"Terms with Persian translations",
"Terms with Polish translations",
"Terms with Portuguese translations",
"Terms with Romanian translations",
"Terms with Russian translations",
"Terms with Slovak translations",
"Terms with Spanish translations",
"Terms with Swedish translations",
"Terms with Welsh translations",
"en:Linear algebra"
],
"examples": [
{
"text": "The eigenvalues #x5C;lambda of a square transformation matrix #x5C;mathrm#x7B;M#x7D; may be found by solving #x5C;det(#x5C;mathrm#x7B;M#x7D;-#x5C;lambda#x5C;mathrm#x7B;I#x7D;)#x3D;0.",
"type": "example"
},
{
"ref": "1972, F. V. Atkinson, Multiparameter Eigenvalue Problems, Volume I: Matrices and Compact Operators, Academic Press, page x:",
"text": "In the extension, one associates eigenvalues, sets of scalars, with arrays of matrices by considering the singularity of linear combinations of the matrices in the various rows, involving the same coefficients in each case. Attention to this area was called in the early 1920's by R. D. Carmichael, who pointed out in addition the enormous variety of mixed eigenvalue problems with several parameters.",
"type": "quote"
},
{
"ref": "2000, John von Neumann, E. Wigner, “On the Behaviour of Eigenvalues in Adiabatic Processes”, in Hinne Hettema, transl., edited by Hinne Hettema, Quantum Chemistry: Classic Scientific Papers, World Scientific, published 1929, page 25:",
"text": "For many quantum-mechanical problems it is important to investigate the change of eigenvalues and eigenfunctions with the continuous change of one or more parameters. The case in which one knows the eigenvalues and eigenfunctions for two special values of the parameters, and is interested in the region in between is particularly interesting.",
"type": "quote"
},
{
"ref": "2005, Leonid D. Akulenko, Sergei V. Nesterov, High-Precision Methods in Eigenvalue Problems and Their Applications, CRC Press (Chapman & Hall), page 1:",
"text": "Problems that require an investigation of eigenvalues and eigenfunctions arise in connection with numerous topics in mechanics, the theory of vibrations and stability, hydrodynamics, elasticity, acoustics, electrodynamics, quantum mechanics, etc.",
"type": "quote"
}
],
"glosses": [
"A scalar, λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator A is equal to the image of x under multiplication by λ; i.e. Ax=λx."
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"scalar",
"scalar"
],
[
"vector",
"vector"
],
[
"eigenvector",
"eigenvector"
],
[
"image",
"image"
],
[
"linear operator",
"linear operator"
],
[
"multiplication",
"multiplication"
]
],
"raw_glosses": [
"(linear algebra) A scalar, λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator A is equal to the image of x under multiplication by λ; i.e. Ax=λx."
],
"topics": [
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"enpr": "īʹgən'vălyo͞o"
},
{
"ipa": "/ˈaɪɡənˌvæljuː/"
},
{
"audio": "en-us-eigenvalue.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/4/4f/En-us-eigenvalue.ogg/En-us-eigenvalue.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/4/4f/En-us-eigenvalue.ogg"
}
],
"synonyms": [
{
"sense": "scalar multiplier of an eigenvector",
"word": "characteristic root"
},
{
"sense": "scalar multiplier of an eigenvector",
"word": "characteristic value"
},
{
"sense": "scalar multiplier of an eigenvector",
"word": "eigenroot"
},
{
"sense": "scalar multiplier of an eigenvector",
"word": "latent value"
},
{
"sense": "scalar multiplier of an eigenvector",
"word": "proper value"
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "scalar multiplier of an eigenvector",
"word": "特徵值"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "tèzhēngzhí",
"sense": "scalar multiplier of an eigenvector",
"word": "特征值"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "scalar multiplier of an eigenvector",
"word": "本徵值"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "běnzhēngzhí",
"sense": "scalar multiplier of an eigenvector",
"word": "本征值"
},
{
"code": "cs",
"lang": "Czech",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "vlastní hodnota"
},
{
"code": "da",
"lang": "Danish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"common-gender"
],
"word": "egenværdi"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "eigenwaarde"
},
{
"code": "et",
"lang": "Estonian",
"sense": "scalar multiplier of an eigenvector",
"word": "omaväärtus"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "scalar multiplier of an eigenvector",
"word": "ominaisarvo"
},
{
"code": "fr",
"lang": "French",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "valeur propre"
},
{
"code": "de",
"lang": "German",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "Eigenwert"
},
{
"code": "el",
"lang": "Greek",
"roman": "idiotimí",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "ιδιοτιμή"
},
{
"code": "he",
"lang": "Hebrew",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "עֵרֶךְ עַצְמִי"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "abhilākṣaṇik mān",
"sense": "scalar multiplier of an eigenvector",
"word": "अभिलाक्षणिक मान"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"neuter"
],
"word": "eigingildi"
},
{
"code": "it",
"lang": "Italian",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "autovalore"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "koyūchi",
"sense": "scalar multiplier of an eigenvector",
"word": "固有値"
},
{
"code": "lt",
"lang": "Lithuanian",
"sense": "scalar multiplier of an eigenvector",
"word": "tikrinė reikšmė"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "egenverdi"
},
{
"code": "nn",
"lang": "Norwegian Nynorsk",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "eigenverdi"
},
{
"code": "fa",
"lang": "Persian",
"roman": "meqdâr-e viže",
"sense": "scalar multiplier of an eigenvector",
"word": "مقدار ویژه"
},
{
"code": "pl",
"lang": "Polish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "wartość własna"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"Portugal",
"masculine"
],
"word": "valor próprio"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"Brazil",
"masculine"
],
"word": "autovalor"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "valoare proprie"
},
{
"code": "ru",
"lang": "Russian",
"roman": "sóbstvennoje značénije",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"neuter"
],
"word": "со́бственное значе́ние"
},
{
"code": "sk",
"lang": "Slovak",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"feminine"
],
"word": "vlastná hodnota"
},
{
"code": "es",
"lang": "Spanish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "autovalor"
},
{
"code": "es",
"lang": "Spanish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "valor propio"
},
{
"code": "es",
"lang": "Spanish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"dated",
"masculine"
],
"word": "valor característico"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"neuter"
],
"word": "egenvärde"
},
{
"code": "cy",
"lang": "Welsh",
"sense": "scalar multiplier of an eigenvector",
"tags": [
"masculine"
],
"word": "gwerth eigen"
}
],
"word": "eigenvalue"
}
Download raw JSONL data for eigenvalue meaning in English (9.9kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.