Covering system

（重定向自Complete Residue System）

In mathematics, a covering system (also called a complete residue system) is a collection

\{a_1(\mathrm{mod}\ {n_1}),\ \ldots,\ a_k(\mathrm{mod}\ {n_k})\}

of finitely many residue classes $a_i(\mathrm{mod}\ {n_i}) = \{ a_i + n_ix:\ x \in \Z \}$ whose union contains every integer.

单词	Complete Residue System
释义	Complete Residue System 英语百科 Covering system （重定向自Complete Residue System） In mathematics, a covering system (also called a complete residue system) is a collection $\{a_1(\mathrm{mod}\ {n_1}),\ \ldots,\ a_k(\mathrm{mod}\ {n_k})\}$ of finitely many residue classes $a_i(\mathrm{mod}\ {n_i}) = \{ a_i + n_ix:\ x \in \Z \}$ whose union contains every integer.
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