See eigenfunction in All languages combined, or Wiktionary
Download JSON data for eigenfunction meaning in English (4.2kB)
{
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"1": "en",
"2": "eigen",
"3": "function"
},
"expansion": "eigen- + function",
"name": "prefix"
}
],
"etymology_text": "eigen- + function",
"forms": [
{
"form": "eigenfunctions",
"tags": [
"plural"
]
}
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{
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"parents": [
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"source": "w"
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{
"kind": "topical",
"langcode": "en",
"name": "Functions",
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"parents": [
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}
],
"glosses": [
"A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue)."
],
"id": "en-eigenfunction-en-noun-btZ2eAYK",
"links": [
[
"mathematics",
"mathematics"
],
[
"function",
"function"
],
[
"linear",
"linear"
],
[
"operator",
"operator"
],
[
"scalar",
"scalar"
],
[
"eigenvalue",
"eigenvalue"
]
],
"raw_glosses": [
"(mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue)."
],
"related": [
{
"word": "eigenbasis"
},
{
"word": "eigenbrain"
},
{
"word": "eigendecomposition"
},
{
"word": "eigen decomposition"
},
{
"word": "eigenface"
},
{
"word": "eigenhead"
},
{
"word": "eigenmode"
},
{
"word": "eigenpair"
},
{
"word": "eigenspace"
},
{
"word": "eigenspinor"
},
{
"word": "eigenstate"
},
{
"word": "eigensystem"
},
{
"word": "eigentheory"
},
{
"word": "eigenvalue"
},
{
"word": "eigenvector"
},
{
"word": "hamiltonian"
}
],
"synonyms": [
{
"word": "proper function"
},
{
"word": "eigenstate"
}
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "function",
"word": "本徵函數"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "běnzhēng hánshù",
"sense": "function",
"word": "本征函数"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "function",
"word": "ominaisfunktio"
},
{
"code": "fr",
"lang": "French",
"sense": "function",
"tags": [
"feminine"
],
"word": "fonction propre"
},
{
"code": "de",
"lang": "German",
"sense": "function",
"tags": [
"feminine"
],
"word": "Eigenfunktion"
},
{
"code": "el",
"lang": "Greek",
"roman": "idiosynártisi",
"sense": "function",
"tags": [
"feminine"
],
"word": "ιδιοσυνάρτηση"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "function",
"tags": [
"neuter"
],
"word": "eiginfall"
},
{
"code": "it",
"lang": "Italian",
"sense": "function",
"tags": [
"feminine"
],
"word": "autofunzione"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "koyū kansū",
"sense": "function",
"word": "固有関数"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "function",
"tags": [
"Brazil",
"feminine"
],
"word": "autofunção"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "function",
"tags": [
"Portugal",
"feminine"
],
"word": "função própria"
},
{
"code": "ru",
"lang": "Russian",
"roman": "sóbstvennaja fúnkcija",
"sense": "function",
"tags": [
"feminine"
],
"word": "со́бственная фу́нкция"
},
{
"code": "es",
"lang": "Spanish",
"sense": "function",
"tags": [
"feminine"
],
"word": "autofunción"
},
{
"code": "es",
"lang": "Spanish",
"sense": "function",
"tags": [
"feminine"
],
"word": "función propia"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "function",
"tags": [
"common-gender"
],
"word": "egenfunktion"
}
]
}
],
"word": "eigenfunction"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "eigen",
"3": "function"
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"expansion": "eigen- + function",
"name": "prefix"
}
],
"etymology_text": "eigen- + function",
"forms": [
{
"form": "eigenfunctions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "eigenfunction (plural eigenfunctions)",
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],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "eigenbasis"
},
{
"word": "eigenbrain"
},
{
"word": "eigendecomposition"
},
{
"word": "eigen decomposition"
},
{
"word": "eigenface"
},
{
"word": "eigenhead"
},
{
"word": "eigenmode"
},
{
"word": "eigenpair"
},
{
"word": "eigenspace"
},
{
"word": "eigenspinor"
},
{
"word": "eigenstate"
},
{
"word": "eigensystem"
},
{
"word": "eigentheory"
},
{
"word": "eigenvalue"
},
{
"word": "eigenvector"
},
{
"word": "hamiltonian"
}
],
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"categories": [
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"English terms prefixed with eigen-",
"Mandarin terms with redundant transliterations",
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"en:Functions",
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],
"glosses": [
"A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue)."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"function",
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[
"linear",
"linear"
],
[
"operator",
"operator"
],
[
"scalar",
"scalar"
],
[
"eigenvalue",
"eigenvalue"
]
],
"raw_glosses": [
"(mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue)."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"word": "proper function"
},
{
"word": "eigenstate"
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "function",
"word": "本徵函數"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "běnzhēng hánshù",
"sense": "function",
"word": "本征函数"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "function",
"word": "ominaisfunktio"
},
{
"code": "fr",
"lang": "French",
"sense": "function",
"tags": [
"feminine"
],
"word": "fonction propre"
},
{
"code": "de",
"lang": "German",
"sense": "function",
"tags": [
"feminine"
],
"word": "Eigenfunktion"
},
{
"code": "el",
"lang": "Greek",
"roman": "idiosynártisi",
"sense": "function",
"tags": [
"feminine"
],
"word": "ιδιοσυνάρτηση"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "function",
"tags": [
"neuter"
],
"word": "eiginfall"
},
{
"code": "it",
"lang": "Italian",
"sense": "function",
"tags": [
"feminine"
],
"word": "autofunzione"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "koyū kansū",
"sense": "function",
"word": "固有関数"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "function",
"tags": [
"Brazil",
"feminine"
],
"word": "autofunção"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "function",
"tags": [
"Portugal",
"feminine"
],
"word": "função própria"
},
{
"code": "ru",
"lang": "Russian",
"roman": "sóbstvennaja fúnkcija",
"sense": "function",
"tags": [
"feminine"
],
"word": "со́бственная фу́нкция"
},
{
"code": "es",
"lang": "Spanish",
"sense": "function",
"tags": [
"feminine"
],
"word": "autofunción"
},
{
"code": "es",
"lang": "Spanish",
"sense": "function",
"tags": [
"feminine"
],
"word": "función propia"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "function",
"tags": [
"common-gender"
],
"word": "egenfunktion"
}
],
"word": "eigenfunction"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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