See orthonormal on Wiktionary
{
"derived": [
{
"_dis1": "0 0",
"word": "biorthonormal"
},
{
"_dis1": "0 0",
"word": "orthonormal function"
},
{
"_dis1": "0 0",
"word": "orthonormality"
},
{
"_dis1": "0 0",
"word": "orthonormalization"
},
{
"_dis1": "0 0",
"word": "orthonormalize"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "orthogonal",
"3": "normal"
},
"expansion": "Blend of orthogonal + normal",
"name": "blend"
},
{
"args": {
"1": "en",
"2": "ortho-",
"3": "normal"
},
"expansion": "ortho- + normal",
"name": "af"
}
],
"etymology_text": "Blend of orthogonal + normal, equivalent to ortho- + normal.",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "orthonormal (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"_dis1": "0 0",
"word": "orthogonal"
}
],
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Functional analysis",
"orig": "en:Functional analysis",
"parents": [
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"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": [
{
"bold_text_offsets": [
[
88,
99
]
],
"ref": "(Can we date this quote?), “Lesson 10”, in University College London, 6.4 Gram-Schmidt Process, page 2:",
"text": "Given a set of linearly independent vectors, it is often useful to convert them into an orthonormal set of vectors.",
"type": "quote"
}
],
"glosses": [
"Of a set of vectors, both orthogonal and normalized."
],
"id": "en-orthonormal-en-adj-3gd9vJZF",
"links": [
[
"functional analysis",
"functional analysis"
],
[
"geometry",
"geometry"
],
[
"linear algebra",
"linear algebra"
],
[
"set",
"set"
],
[
"vector",
"vector"
],
[
"orthogonal",
"orthogonal"
],
[
"normalized",
"normalized"
]
],
"qualifier": "functional analysis",
"raw_glosses": [
"(functional analysis, geometry, linear algebra) Of a set of vectors, both orthogonal and normalized."
],
"tags": [
"not-comparable"
],
"topics": [
"geometry",
"linear-algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Functional analysis",
"orig": "en:Functional analysis",
"parents": [
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Linear algebra",
"orig": "en:Linear algebra",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "41 59",
"kind": "other",
"name": "English blends",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "30 70",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "28 72",
"kind": "other",
"name": "English hybridisms",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "39 61",
"kind": "other",
"name": "English terms prefixed with ortho-",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "16 84",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "28 72",
"kind": "other",
"name": "Pages with 2 entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "27 73",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "27 73",
"kind": "other",
"name": "Terms with Czech translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "24 76",
"kind": "other",
"name": "Terms with Dutch translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "21 79",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "24 76",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "30 70",
"kind": "other",
"name": "Terms with Greek translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "20 80",
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "24 76",
"kind": "other",
"name": "Terms with Vietnamese translations",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"Of a linear transformation: that preserves both angles and lengths."
],
"id": "en-orthonormal-en-adj-7s6VWEQP",
"links": [
[
"functional analysis",
"functional analysis"
],
[
"geometry",
"geometry"
],
[
"linear algebra",
"linear algebra"
],
[
"linear transformation",
"linear transformation"
],
[
"preserve",
"preserve"
],
[
"angle",
"angle"
],
[
"length",
"length"
]
],
"qualifier": "functional analysis",
"raw_glosses": [
"(functional analysis, geometry, linear algebra) Of a linear transformation: that preserves both angles and lengths."
],
"tags": [
"not-comparable"
],
"topics": [
"geometry",
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"audio": "LL-Q1860 (eng)-Flame, not lame-orthonormal.wav",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/33/LL-Q1860_%28eng%29-Flame%2C_not_lame-orthonormal.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-orthonormal.wav.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/33/LL-Q1860_%28eng%29-Flame%2C_not_lame-orthonormal.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-orthonormal.wav.ogg"
}
],
"translations": [
{
"_dis1": "54 46",
"code": "cs",
"lang": "Czech",
"sense": "mathematical term",
"word": "ortonormální"
},
{
"_dis1": "54 46",
"code": "nl",
"lang": "Dutch",
"sense": "mathematical term",
"word": "orthonormaal"
},
{
"_dis1": "54 46",
"code": "fi",
"lang": "Finnish",
"sense": "mathematical term",
"word": "ortonormaali"
},
{
"_dis1": "54 46",
"code": "de",
"lang": "German",
"sense": "mathematical term",
"word": "orthonormal"
},
{
"_dis1": "54 46",
"code": "el",
"lang": "Greek",
"roman": "orthokanonikós",
"sense": "mathematical term",
"word": "ορθοκανονικός"
},
{
"_dis1": "54 46",
"code": "sv",
"lang": "Swedish",
"sense": "mathematical term",
"word": "ortonormal"
},
{
"_dis1": "54 46",
"code": "sv",
"lang": "Swedish",
"sense": "mathematical term",
"word": "ortonormerad"
},
{
"_dis1": "54 46",
"code": "vi",
"lang": "Vietnamese",
"sense": "mathematical term",
"word": "trực chuẩn"
}
],
"word": "orthonormal"
}
{
"etymology_templates": [
{
"args": {
"1": "fr",
"2": "ortho-",
"3": "normal"
},
"expansion": "ortho- + normal",
"name": "af"
}
],
"etymology_text": "From ortho- + normal.",
"forms": [
{
"form": "orthonormale",
"tags": [
"feminine"
]
},
{
"form": "orthonormaux",
"tags": [
"masculine",
"plural"
]
},
{
"form": "orthonormales",
"tags": [
"feminine",
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "orthonormal (feminine orthonormale, masculine plural orthonormaux, feminine plural orthonormales)",
"name": "fr-adj"
}
],
"lang": "French",
"lang_code": "fr",
"pos": "adj",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "French entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "French terms prefixed with ortho-",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 2 entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
}
],
"derived": [
{
"word": "orthonormaliser"
}
],
"glosses": [
"orthonormal"
],
"id": "en-orthonormal-fr-adj-eDLHNfX9",
"links": [
[
"orthonormal",
"orthonormal#English"
]
]
}
],
"word": "orthonormal"
}
{
"categories": [
"English adjectives",
"English blends",
"English entries with incorrect language header",
"English hybridisms",
"English lemmas",
"English terms prefixed with ortho-",
"English uncomparable adjectives",
"Entries with translation boxes",
"Pages with 2 entries",
"Pages with entries",
"Terms with Czech translations",
"Terms with Dutch translations",
"Terms with Finnish translations",
"Terms with German translations",
"Terms with Greek translations",
"Terms with Swedish translations",
"Terms with Vietnamese translations"
],
"derived": [
{
"word": "biorthonormal"
},
{
"word": "orthonormal function"
},
{
"word": "orthonormality"
},
{
"word": "orthonormalization"
},
{
"word": "orthonormalize"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "orthogonal",
"3": "normal"
},
"expansion": "Blend of orthogonal + normal",
"name": "blend"
},
{
"args": {
"1": "en",
"2": "ortho-",
"3": "normal"
},
"expansion": "ortho- + normal",
"name": "af"
}
],
"etymology_text": "Blend of orthogonal + normal, equivalent to ortho- + normal.",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "orthonormal (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"related": [
{
"word": "orthogonal"
}
],
"senses": [
{
"categories": [
"English terms with quotations",
"Requests for date",
"en:Functional analysis",
"en:Geometry",
"en:Linear algebra"
],
"examples": [
{
"bold_text_offsets": [
[
88,
99
]
],
"ref": "(Can we date this quote?), “Lesson 10”, in University College London, 6.4 Gram-Schmidt Process, page 2:",
"text": "Given a set of linearly independent vectors, it is often useful to convert them into an orthonormal set of vectors.",
"type": "quote"
}
],
"glosses": [
"Of a set of vectors, both orthogonal and normalized."
],
"links": [
[
"functional analysis",
"functional analysis"
],
[
"geometry",
"geometry"
],
[
"linear algebra",
"linear algebra"
],
[
"set",
"set"
],
[
"vector",
"vector"
],
[
"orthogonal",
"orthogonal"
],
[
"normalized",
"normalized"
]
],
"qualifier": "functional analysis",
"raw_glosses": [
"(functional analysis, geometry, linear algebra) Of a set of vectors, both orthogonal and normalized."
],
"tags": [
"not-comparable"
],
"topics": [
"geometry",
"linear-algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Functional analysis",
"en:Geometry",
"en:Linear algebra"
],
"glosses": [
"Of a linear transformation: that preserves both angles and lengths."
],
"links": [
[
"functional analysis",
"functional analysis"
],
[
"geometry",
"geometry"
],
[
"linear algebra",
"linear algebra"
],
[
"linear transformation",
"linear transformation"
],
[
"preserve",
"preserve"
],
[
"angle",
"angle"
],
[
"length",
"length"
]
],
"qualifier": "functional analysis",
"raw_glosses": [
"(functional analysis, geometry, linear algebra) Of a linear transformation: that preserves both angles and lengths."
],
"tags": [
"not-comparable"
],
"topics": [
"geometry",
"linear-algebra",
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"audio": "LL-Q1860 (eng)-Flame, not lame-orthonormal.wav",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/33/LL-Q1860_%28eng%29-Flame%2C_not_lame-orthonormal.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-orthonormal.wav.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/33/LL-Q1860_%28eng%29-Flame%2C_not_lame-orthonormal.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-orthonormal.wav.ogg"
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "mathematical term",
"word": "ortonormální"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "mathematical term",
"word": "orthonormaal"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematical term",
"word": "ortonormaali"
},
{
"code": "de",
"lang": "German",
"sense": "mathematical term",
"word": "orthonormal"
},
{
"code": "el",
"lang": "Greek",
"roman": "orthokanonikós",
"sense": "mathematical term",
"word": "ορθοκανονικός"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "mathematical term",
"word": "ortonormal"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "mathematical term",
"word": "ortonormerad"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "mathematical term",
"word": "trực chuẩn"
}
],
"word": "orthonormal"
}
{
"derived": [
{
"word": "orthonormaliser"
}
],
"etymology_templates": [
{
"args": {
"1": "fr",
"2": "ortho-",
"3": "normal"
},
"expansion": "ortho- + normal",
"name": "af"
}
],
"etymology_text": "From ortho- + normal.",
"forms": [
{
"form": "orthonormale",
"tags": [
"feminine"
]
},
{
"form": "orthonormaux",
"tags": [
"masculine",
"plural"
]
},
{
"form": "orthonormales",
"tags": [
"feminine",
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "orthonormal (feminine orthonormale, masculine plural orthonormaux, feminine plural orthonormales)",
"name": "fr-adj"
}
],
"lang": "French",
"lang_code": "fr",
"pos": "adj",
"senses": [
{
"categories": [
"French adjectives",
"French entries with incorrect language header",
"French lemmas",
"French terms prefixed with ortho-",
"Pages with 2 entries",
"Pages with entries"
],
"glosses": [
"orthonormal"
],
"links": [
[
"orthonormal",
"orthonormal#English"
]
]
}
],
"word": "orthonormal"
}
Download raw JSONL data for orthonormal meaning in All languages combined (4.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-04-10 from the enwiktionary dump dated 2025-04-03 using wiktextract (74c5344 and fb63907). 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.