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@@ -155,13 +155,13 @@ $$
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\end{align}
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$$
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**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
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**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
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$$
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\begin{align}
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x &\equiv a_1 \pmod{n_1} \\
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x &\equiv a_2 \pmod{n_2} \\
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\vdots
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\ldots
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x &\equiv a_k \pmod{n_k}
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\end{align}
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$$
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