Category:Simultaneous Congruences
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This category contains results about Simultaneous Congruences.
Definitions specific to this category can be found in Definitions/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:
| \(\ds \map {P_1} x\) | \(=\) | \(\ds 0\) | \(\ds \pmod {n_1}\) | |||||||||||
| \(\ds \map {P_2} x\) | \(=\) | \(\ds 0\) | \(\ds \pmod {n_2}\) | |||||||||||
| \(\ds \) | \(\cdots\) | \(\ds \) | ||||||||||||
| \(\ds \map {P_r} x\) | \(=\) | \(\ds 0\) | \(\ds \pmod {n_r}\) |
Subcategories
This category has only the following subcategory.
S
- Simultaneous Linear Congruences (empty)