coarse estimate造句

• Secondly , definitions of a extended bethe tree , bethe tree and cayley tree are introduced . further , the even - odd markov chain fields and markov chain fields indexed by a extended bethe tree , bethe tree and cayley tree are defined . subsequently the strong limit theorems proved above are applied to the study of all kinds of even - odd markov chain fields and markov chain fields defined above , which both extend the conclusions in [ 30 ] and [ 39 ] and prove a class of strong limit theorems for the even - odd markov chain fields and markov chain fields . as corollaries , we obtain some strong limit theorems for the frequencies of occurrence of states and ordered couples of states for the even - odd markov chain fields and markov chain fields . lastly , some coarse estimates are gained about the state occurrence frequencies for all kinds of even - odd markov chain fields and markov chain fields defined in the paper
  然后把前面所证得的一类强极限定理应用到本文中所定义的各种奇偶马尔可夫链场、马尔可夫链场的研究工作中，从而推广了[ 30 ]和[ 39 ]中的结论，获得了本论文中所定义的各种奇偶马尔可夫链场、马尔可夫链场的一类强极限定理。作为这一类强极限定理的推论得到了状态和状态序偶出现频率的一类强极限定理。最后，给出了本论文中所定义的各种奇偶马尔可夫链场、马尔可夫链场上状态出现频率的若干粗略估计。