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中文摘要：
文中采用网微分法和分析运算的方法研究广义赌博系统中m阶非齐次马氏信源随机条件熵的一类强极限定理,并由此得出m阶马氏信源,非齐次马氏信源的Shannon-McMillan定理.将已有的关于离散信源的结果加以推广.
英文摘要：
A class of strong limit theorems for the random conditional entropy densities of the sequence of mth-order nonhomogeneous Markov chain on the gambling system are discussed by applying the differentiation on a net and analytical methods.As corollaries,some Shannon-Mcmillan theorems for m-order Markov information source are obtained and some results obtained by some authors for the discrete information source are extended.
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