The limited condition of alternate permutation to utilize character of chessman polgnomial sets up recurrence relations and educes two math question about formula of permutation figure.
变更错排问题的限制条件，利用棋子多项式的性质建立递推关系，推出两个问题的排列数公式。
In the second chapter, we study weakly recurrence of the Markov in random environment, and provide the sufficient condition for weakly recurrence.
在第二章，研究了随机环镜中的马氏链的弱常返性，给出了弱常返性的一个充分条件。
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