We use generating function to prove the identities,and establish several bijections for the Fine numbers.2.
并且对这些恒等式用发生函数的方法给予证明,对这些组合解释通过建立一一对应给予证明。
参考来源 - Fine格路和有禁错排Then, we obtained the probability function, the expectation, the variance, and the moment generating function of recovery number.
而后，得到了盈余恢复为零的次数的概率函数，期望，方差及其矩母函数。 本文共分四章。
参考来源 - 含贷款利率复合Poisson模型破产严重程度的度量 （研究生论文）For the direct discrete method, both the generating function and the rational function approximation methods are studied.
本文主要针对直接离散方法,从生成函数和有理函数逼近方法两方面进行了研究。
参考来源 - 分数阶模型的离散化方法研究Then we introduced the reduced density matrix,used the reduced density matrix to describe the three level system,obtained the reduced evolution equation, consequently we introduced the generating function method to deal with the photon statistics problems.
在引入约化密度矩阵后,从微观的相互作用出发得到了一般三能级体系的约化密度矩阵运动方程,以及如何由约化密度矩阵方程构造产生函数进行了详细的推导说明。
参考来源 - 单分子体系发射光子统计性质的理论研究·2,447,543篇论文数据，部分数据来源于NoteExpress
以上来源于: WordNet
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。
The relation of branching random transition matrix and random generating function are investigated.
研究了分支随机转移矩阵与随机生成母函数的关系。
The concepts of branching random Q matrix, branching random Q process and random generating function are introduced.
引进了分支随机Q矩阵、分支随机Q过程和随机生成母函数的概念。
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