See eigenelement on Wiktionary
{
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"glosses": [
"A nonzero element m of a semimodule M, such that there exists an endomorphism A on M and a real number r (a corresponding eigenvalue) for which the image of m under A is equal to the product of r times m; i.e. mA=rm."
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"(mathematics) A nonzero element m of a semimodule M, such that there exists an endomorphism A on M and a real number r (a corresponding eigenvalue) for which the image of m under A is equal to the product of r times m; i.e. mA=rm."
],
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"word": "eigenelement"
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"A nonzero element m of a semimodule M, such that there exists an endomorphism A on M and a real number r (a corresponding eigenvalue) for which the image of m under A is equal to the product of r times m; i.e. mA=rm."
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"(mathematics) A nonzero element m of a semimodule M, such that there exists an endomorphism A on M and a real number r (a corresponding eigenvalue) for which the image of m under A is equal to the product of r times m; i.e. mA=rm."
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"word": "eigenelement"
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Download raw JSONL data for eigenelement meaning in All languages combined (1.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-01 from the enwiktionary dump dated 2024-08-20 using wiktextract (8e41825 and f99c758). 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.