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Indigo5684
2025-09-30 13:19:34 -05:00
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@@ -155,13 +155,13 @@ $$
\end{align}
$$
**Theorem**. Chineese Remainer Theorem. Let $n_1, \ldots, n_k \in \mathbb{N}$ be given such that $\gcd(n_i, n_j) = 1$. Then, for any integers $a_1, \ldots, a_k$, the system
**Theorem**. Chinese Remainder Theorem. Let $n_1, \ldots, n_k \in \mathbb{N}$ be given such that $\gcd(n_i, n_j) = 1$. Then, for any integers $a_1, \ldots, a_k$, the system
$$
\begin{align}
x &\equiv a_1 \pmod{n_1} \\
x &\equiv a_2 \pmod{n_2} \\
\vdots
\ldots
x &\equiv a_k \pmod{n_k}
\end{align}
$$