See conjugate transpose in All languages combined, or Wiktionary
Download JSON data for conjugate transpose meaning in English (2.3kB)
{
"forms": [
{
"form": "conjugate transposes",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "conjugate transpose (plural conjugate transposes)",
"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": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"The transpose of a matrix, after replacing each element with its complex conjugate."
],
"id": "en-conjugate_transpose-en-noun-Jmjwouzy",
"links": [
[
"mathematics",
"mathematics"
],
[
"transpose",
"transpose"
],
[
"matrix",
"matrix"
],
[
"complex conjugate",
"complex conjugate"
]
],
"raw_glosses": [
"(mathematics) The transpose of a matrix, after replacing each element with its complex conjugate."
],
"related": [
{
"english": "adjoint; historically also sometimes called",
"word": "adjugate matrix"
}
],
"synonyms": [
{
"sense": "transpose of matrix of complex conjugates",
"word": "adjoint matrix"
},
{
"sense": "transpose of matrix of complex conjugates",
"word": "bedaggered matrix"
},
{
"sense": "transpose of matrix of complex conjugates",
"word": "Hermitian conjugate"
},
{
"sense": "transpose of matrix of complex conjugates",
"word": "Hermitian transpose"
},
{
"sense": "transpose of matrix of complex conjugates",
"word": "transjugate"
}
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "konjugierte Transponierte"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "konjugiert-transponierte Matrix"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Hermitesch Transponierte"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Hermitesch transponierte Matrix"
},
{
"code": "pl",
"lang": "Polish",
"sense": "Translations",
"tags": [
"neuter"
],
"word": "sprzężenie hermitowskie macierzy"
}
],
"wikipedia": [
"Conjugate transpose",
"Moore–Penrose pseudoinverse"
]
}
],
"word": "conjugate transpose"
}
{
"forms": [
{
"form": "conjugate transposes",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "conjugate transpose (plural conjugate transposes)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"english": "adjoint; historically also sometimes called",
"word": "adjugate matrix"
}
],
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Translation table header lacks gloss",
"en:Mathematics"
],
"glosses": [
"The transpose of a matrix, after replacing each element with its complex conjugate."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"transpose",
"transpose"
],
[
"matrix",
"matrix"
],
[
"complex conjugate",
"complex conjugate"
]
],
"raw_glosses": [
"(mathematics) The transpose of a matrix, after replacing each element with its complex conjugate."
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"Conjugate transpose",
"Moore–Penrose pseudoinverse"
]
}
],
"synonyms": [
{
"sense": "transpose of matrix of complex conjugates",
"word": "adjoint matrix"
},
{
"sense": "transpose of matrix of complex conjugates",
"word": "bedaggered matrix"
},
{
"sense": "transpose of matrix of complex conjugates",
"word": "Hermitian conjugate"
},
{
"sense": "transpose of matrix of complex conjugates",
"word": "Hermitian transpose"
},
{
"sense": "transpose of matrix of complex conjugates",
"word": "transjugate"
}
],
"translations": [
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "konjugierte Transponierte"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "konjugiert-transponierte Matrix"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Hermitesch Transponierte"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Hermitesch transponierte Matrix"
},
{
"code": "pl",
"lang": "Polish",
"sense": "Translations",
"tags": [
"neuter"
],
"word": "sprzężenie hermitowskie macierzy"
}
],
"word": "conjugate transpose"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 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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