We consider the bargraph representation of geometrically distributed words, which we use to define the water capacity of such words. We first find a bivariate capacity generating function for all geometrically distributed words, from which we compute the generating function for the mean capacity. Thereafter, by making extensive use of Rice’s method (Rice’s integrals) we derive an asymptotic formula for the average capacity of random words of length n as n tends to infinity.

中文翻译：

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几何分布词的水容量

我们考虑几何分布的单词的条形图表示，我们用它来定义这些单词的水容量。我们首先找到所有几何分布词的二元容量生成函数，然后从中计算出平均容量的生成函数。此后，通过广泛利用水稻的方法的（赖斯的积分），我们得出的长度的随机字的平均容量的渐近式Ñ如Ñ趋于无穷大。