解决warning。

05CombinatorialProbability.tex

@@ -19,6 +19,7 @@
 
 我们先证明定理\ref{corollary of Bernolli's law of large numbers}。
 \begin{proof}
+    注意到
     \begin{equation*}
         \begin{aligned}
             P(\vert X - n \vert > t) & = P(X < n - t \text{或} X > n + t)\\
@@ -26,8 +27,12 @@
             & \ \ \ + P(X = n + t + 1) + \cdots + P(X = 2n)\\
             & = 2[P(X = 0) + \cdots + P(X = n - t - 1)]\\
             & = \frac{2\left[\binom{2n}{0} + \cdots + \binom{2n}{n-t-1}\right]}{2^{2n}}\\
-            & \text{应用引理\ref{lemma for Bernolli's law of large numbers}}\\
-            & < \binom{2n}{n-t} \bigg/ \binom{2n}{n}\\
+        \end{aligned}
+    \end{equation*}
+            应用引理\ref{lemma for Bernolli's law of large numbers}
+    \begin{equation*}
+        \begin{aligned}
+            P(\vert X - n \vert > t) & < \binom{2n}{n-t} \bigg/ \binom{2n}{n}\\
             & \leq e^{-\frac{t^2}{n+t}}\eqper
         \end{aligned}
     \end{equation*}