See diagonalisation on Wiktionary
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "diagonal",
"3": "isation"
},
"expansion": "diagonal + -isation",
"name": "suffix"
}
],
"etymology_text": "From diagonal + -isation.",
"forms": [
{
"form": "diagonalisations",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "diagonalisation (countable and uncountable, plural diagonalisations)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "British English",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix."
],
"id": "en-diagonalisation-en-noun-V8urDneP",
"links": [
[
"mathematics",
"mathematics"
],
[
"matrix algebra",
"matrix algebra"
],
[
"matrix",
"matrix"
],
[
"eigenvalue",
"eigenvalue"
]
],
"raw_glosses": [
"(UK, mathematics) In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix."
],
"tags": [
"UK",
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
{
"kind": "other",
"name": "British English",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "34 66",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "40 60",
"kind": "other",
"name": "English terms suffixed with -isation",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "36 64",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "28 72",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"An argument used in proof by contradiction by constructing a supposedly exhaustive list of all members of a class, and then subsequently constructing a new member which differs from each existing member in at least one place and therefore cannot belong to the list."
],
"id": "en-diagonalisation-en-noun-NXrbbL75",
"links": [
[
"mathematics",
"mathematics"
],
[
"proof by contradiction",
"proof by contradiction"
]
],
"raw_glosses": [
"(UK, mathematics) An argument used in proof by contradiction by constructing a supposedly exhaustive list of all members of a class, and then subsequently constructing a new member which differs from each existing member in at least one place and therefore cannot belong to the list."
],
"tags": [
"UK",
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"_dis1": "0 0",
"tags": [
"US"
],
"word": "diagonalization"
}
],
"word": "diagonalisation"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms suffixed with -isation",
"English uncountable nouns",
"Pages with 1 entry",
"Pages with entries"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "diagonal",
"3": "isation"
},
"expansion": "diagonal + -isation",
"name": "suffix"
}
],
"etymology_text": "From diagonal + -isation.",
"forms": [
{
"form": "diagonalisations",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "diagonalisation (countable and uncountable, plural diagonalisations)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"British English",
"en:Mathematics"
],
"glosses": [
"In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"matrix algebra",
"matrix algebra"
],
[
"matrix",
"matrix"
],
[
"eigenvalue",
"eigenvalue"
]
],
"raw_glosses": [
"(UK, mathematics) In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix."
],
"tags": [
"UK",
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"British English",
"en:Mathematics"
],
"glosses": [
"An argument used in proof by contradiction by constructing a supposedly exhaustive list of all members of a class, and then subsequently constructing a new member which differs from each existing member in at least one place and therefore cannot belong to the list."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"proof by contradiction",
"proof by contradiction"
]
],
"raw_glosses": [
"(UK, mathematics) An argument used in proof by contradiction by constructing a supposedly exhaustive list of all members of a class, and then subsequently constructing a new member which differs from each existing member in at least one place and therefore cannot belong to the list."
],
"tags": [
"UK",
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"tags": [
"US"
],
"word": "diagonalization"
}
],
"word": "diagonalisation"
}
Download raw JSONL data for diagonalisation meaning in All languages combined (2.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.