Compared to digital binomial function, matrix binomial function is derived and proved with induction method and the application of it is illustrated with examples.
类比关于数式的二项式定理，导出关于矩阵的二项式定理，并用数学归纳法予以证明，最后举例说明关于矩阵的二项式定理的应用。
In this paper, some combinatorial identities are proved based on binomial generating function.
以二项式作为生成函数，给出了几个组合恒等式证明。
By using this method, we deduced the probability generating function of the binomial distribution in the Markov dependent sequence.
利用这一方法推导了在马氏相关序列下的二项分布的概率函数。
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