例句與用法

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1. the theorem of irregularity for markov chain fields on binary trees
   二元樹上的無規(guī)則性定理
2. some strong laws of large numbers for markov chain fields indexed by a special nonhomogeneous tree
   一類特殊非齊次樹上馬氏鏈的若干強大數(shù)定律
3. 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
   然后把前面所證得的一類強極限定理應用到本文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場的研究工作中，從而推廣了[30]和[39]中的結論，獲得了本論文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場的一類強極限定理。作為這一類強極限定理的推論得到了狀態(tài)和狀態(tài)序偶出現(xiàn)頻率的一類強極限定理。最后，給出了本論文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場上狀態(tài)出現(xiàn)頻率的若干粗略估計。
4. 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
   然后把前面所證得的一類強極限定理應用到本文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場的研究工作中，從而推廣了[30]和[39]中的結論，獲得了本論文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場的一類強極限定理。作為這一類強極限定理的推論得到了狀態(tài)和狀態(tài)序偶出現(xiàn)頻率的一類強極限定理。最后，給出了本論文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場上狀態(tài)出現(xiàn)頻率的若干粗略估計。
5. 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
   然后把前面所證得的一類強極限定理應用到本文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場的研究工作中，從而推廣了[30]和[39]中的結論，獲得了本論文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場的一類強極限定理。作為這一類強極限定理的推論得到了狀態(tài)和狀態(tài)序偶出現(xiàn)頻率的一類強極限定理。最后，給出了本論文中所定義的各種奇偶馬爾可夫鏈場、馬爾可夫鏈場上狀態(tài)出現(xiàn)頻率的若干粗略估計。