Category:Definitions/Simultaneous Congruences
Jump to navigation
Jump to search
This category contains definitions related to Simultaneous Congruences.
Related results can be found in Category:Simultaneous Congruences.
A system of simultaneous congruences is a set of polynomial congruences:
- $\forall i \in \closedint 1 r: \map {P_i} x \equiv 0 \pmod {n_i}$
That is:
| \(\ds \map {P_1} x\) | \(=\) | \(\ds 0\) | \(\ds \pmod {n_1}\) | |||||||||||
| \(\ds \map {P_2} x\) | \(=\) | \(\ds 0\) | \(\ds \pmod {n_2}\) | |||||||||||
| \(\ds \) | \(\cdots\) | \(\ds \) | ||||||||||||
| \(\ds \map {P_r} x\) | \(=\) | \(\ds 0\) | \(\ds \pmod {n_r}\) |
Pages in category "Definitions/Simultaneous Congruences"
The following 5 pages are in this category, out of 5 total.