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本文运用随机支化过程理论于多元反应体系,应用矢量变量、矢量概率再生函数及关于函数Lagrange多元展开的一项定律,简捷地推导了A_(a_1)+A_(a_2)+…+A_(a_i)及A_(a_1)+A_(a_2)+…+A_(a_i)+B_(b_1)+B_(b_2)+…+B_(b_i)两种一般化反应类型的分子量分布函数,结果与Stockmayer用组合理论所得结果相同。本文所用方法较之采用图论的推导方法为简便。
In this paper, we use the theory of stochastic branching process in multivariate reaction system to derive A_ (a_1) + A_ (a_2) + ... + A_ (a_i) simply by using vector variables, vector probability regeneration function and a law about the Lagrange multivariate function. ) And A_ (a_1) + A_ (a_2) + ... + A_ (a_i) + B_ (b_1) + B_ (b_2) + ... + B_ (b_i) The result of combinatorial theory is the same. The method used in this paper is simpler than using the derivation method of graph theory.