See diagonal element on Wiktionary
{
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"form": "diagonal elements",
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"lang": "English",
"lang_code": "en",
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"glosses": [
"An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix."
],
"id": "en-diagonal_element-en-noun-SWCSfxpr",
"links": [
[
"linear algebra",
"linear algebra"
],
[
"main diagonal",
"main diagonal"
],
[
"square matrix",
"square matrix"
]
],
"raw_glosses": [
"(linear algebra) An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix."
],
"topics": [
"linear-algebra",
"mathematics",
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"translations": [
{
"code": "et",
"lang": "Estonian",
"sense": "element on the main diagonal of a square matrix",
"word": "diagonaalelement"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "element on the main diagonal of a square matrix",
"word": "diagonaalialkio"
},
{
"code": "fr",
"lang": "French",
"sense": "element on the main diagonal of a square matrix",
"tags": [
"masculine"
],
"word": "élément diagonal"
},
{
"code": "fr",
"lang": "French",
"sense": "element on the main diagonal of a square matrix",
"tags": [
"masculine"
],
"word": "coefficient diagonal"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "taikaku yōso",
"sense": "element on the main diagonal of a square matrix",
"word": "対角要素"
}
]
}
],
"word": "diagonal element"
}
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"glosses": [
"An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix."
],
"links": [
[
"linear algebra",
"linear algebra"
],
[
"main diagonal",
"main diagonal"
],
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"square matrix",
"square matrix"
]
],
"raw_glosses": [
"(linear algebra) An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix."
],
"topics": [
"linear-algebra",
"mathematics",
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"translations": [
{
"code": "et",
"lang": "Estonian",
"sense": "element on the main diagonal of a square matrix",
"word": "diagonaalelement"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "element on the main diagonal of a square matrix",
"word": "diagonaalialkio"
},
{
"code": "fr",
"lang": "French",
"sense": "element on the main diagonal of a square matrix",
"tags": [
"masculine"
],
"word": "élément diagonal"
},
{
"code": "fr",
"lang": "French",
"sense": "element on the main diagonal of a square matrix",
"tags": [
"masculine"
],
"word": "coefficient diagonal"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "taikaku yōso",
"sense": "element on the main diagonal of a square matrix",
"word": "対角要素"
}
],
"word": "diagonal element"
}
Download raw JSONL data for diagonal element meaning in All languages combined (2.0kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 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.