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})\}](/Images/godic/202501/05/0627f883d7a35c76b5d6c7cbb7a08fbd2814.png")
of finitely many residue classes ![a_i(\mathrm{mod}\ {n_i}) = \{ a_i + n_ix:\ x \in \Z \}](/Images/godic/202501/05/3b100be65a15a94dc799cb3590ac8b722814.png")
whose union contains every integer.
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