| 1. | Cayley was the first to make headway with this problem .
Cayley是第一个在这个问题上取得进展的人。 |
| 2. | The beauty of the use of cayley diagrams is that one can make good use of this connection .
使用Cayley图解的妙处在于，我们可以很好地利用这种联系。 |
| 3. | Cayley was the first to make headway with this problem
Cayley是第一个在这个问题上取得进展的人。 |
| 4. | On the diameter of cayley digraphs
图的直径 |
| 5. | The beauty of the use of cayley diagrams is that one can make good use of this connection
使用cayley图解的妙处在于，我们可以很好地利用这种联系。 |
| 6. | Cayley was on her daily walk home from the bingo hall when she saw the accident happen
这名叫朱莉?凯莱的老太太是一位退休教师，住在佛罗里达州的一个小镇。 |
| 7. | Singapore : world scientific , 1994 . 4 li h , wu y . automated theorem proving in projective geometry with cayley and bracket algebras
其中特征列方法是定理机器证明与方程求解的基础，也是数学机械化领域目前研究的核心内容。 |
| 8. | In her own words , the car swerved to avoid a kid on a bike , but hit the other kid walking home . cayley then called an ambulance on her cellular phone and then knew she had to help the kid
据朱莉回忆说，当时她正在街上散步，看到一辆小轿车为了躲避一个骑车的小孩突然掉转车头，结果却撞上了另一个走路的孩子。 |
| 9. | Particularly , explicit expression for connectivity of cayley digraphs is given , doom and meng ' s results are also generalized and improved . at last , cayley digraphs with optimal connectivity are analyzed
特别地，给出了cayley图连通度的精确表达式，推广并改进了doorn和孟吉祥的结果，并在最后分析了一些达到最优连通度的cayely图类。 |
| 10. | 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。 |
