Category:Examples of Residue Systems
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This category contains examples of Complete Residue System.
Let $m \in \Z_{\ne 0}$ be a non-zero integer.
Let $S := \set {r_1, r_2, \dotsb, r_s}$ be a set of integers with the properties that:
- $(1): \quad i \ne j \implies r_i \not \equiv r_j \pmod m$
- $(2): \quad \forall n \in \Z: \exists r_i \in S: n \equiv r_i \pmod m$
Then $S$ is a complete residue system modulo $m$.
Pages in category "Examples of Residue Systems"
The following 13 pages are in this category, out of 13 total.
C
- Complete Residue System/Examples
- Complete Residue System/Examples/Modulo 11
- Complete Residue System/Examples/Modulo 11/Even Integers
- Complete Residue System/Examples/Modulo 11/Least Absolute Residues
- Complete Residue System/Examples/Modulo 11/Odd Integers
- Complete Residue System/Examples/Modulo 11/Powers of 2
- Complete Residue System/Examples/Modulo 3