Category:Simultaneous Linear Congruences

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This category contains results about Simultaneous Linear Congruences.

A system of simultaneous linear congruences is a set of linear congruences:

$\forall i \in \closedint 1 r : a_i x \equiv b_i \pmod {n_1}$


That is:

\(\ds a_1 x\) \(\equiv\) \(\ds b_1\) \(\ds \pmod {n_1}\)
\(\ds a_2 x\) \(\equiv\) \(\ds b_2\) \(\ds \pmod {n_2}\)
\(\ds \) \(\cdots\) \(\ds \)
\(\ds a_r x\) \(\equiv\) \(\ds b_r\) \(\ds \pmod {n_r}\)

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