Information for "Covering system"

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Display titleCovering system
Default sort keyCovering system
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Page ID205764
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Page creatorimported>QCDvac
Date of page creation04:54, 16 March 2024
Latest editorimported>QCDvac
Date of latest edit04:54, 16 March 2024
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In mathematics, a covering system (also called a complete residue system) is a collection $ \{a_{1}{\pmod {n_{1}}},\ \ldots ,\ a_{k}{\pmod {n_{k}}}\} $ of finitely many residue classes $ a_{i}{\pmod {n_{i}}}=\{a_{i}+n_{i}x:\ x\in \mathbb {Z} \}, $ whose union contains every integer.
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