chain field meaning in English
链式字段
Examples
- The theorem of irregularity for markov chain fields on binary trees
二元树上的无规则性定理 - Some strong laws of large numbers for markov chain fields indexed by a special nonhomogeneous tree
一类特殊非齐次树上马氏链的若干强大数定律 - 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。 - China ' s first native dishes international cooking contest : china association for the study of native dishes , sichuan breeze kitchen g management ltd . , shanghai xin billion entertainment food limited , half restaurant chain field , a century - kee restaurant management limited jointly sponsored ; chinese chinese food by the australian association for the exchange , chongqing yin rui restaurant management company , mentoring restaurant management company , rui qi jia food management limited , " chinese chefs " co magazine ; chinese arts and cultural food festival yiwu " half field " food chain management of a whole host of international events catering , located throughout 60 for many points , you peer in the october 30 submitted application forms and related that witnessed the glorious unity cohesion
中国首届乡土菜国际烹饪大赛由中国乡土菜研究协会、川味飘香厨政管理有限公司、上海亿欣娱乐美食有限公司、半亩田餐饮连锁机构、百年荣记餐饮管理有限公司共同主办；由澳洲华人中餐交流协会、重庆贤锐餐饮管理公司、挚友餐饮管理公司、锐绮佳餐饮管理有限公司、 《中国大厨》杂志社协办；中华艺术文化美食节组委会和义乌“半亩田”餐饮连锁管理机构全程承办的一次国际性餐饮赛事，目前全国各地设60多个报名点，请各位同行于10月30日前提交报名表格和相关证明，共同见证团结凝聚力的辉煌。 - In the third section , the asymptotic equipartition property ( aep ) of second order markov chain field on a class of tree is studied by using the analytic approach . a net is constructed on a product space , then some strong laws of large numbers of second order markov chain field are proved by using the differentiation of measure on a net . furthermore , shannon - mcmillan theorem is extended to the case of second order markov chain field
本文的第三章是用分析的方法研究一类树上的二重马氏链场的渐进均分割性，为此先构造了一个乘积空间上的网，然后利用网微分法证明了一些二重马氏链场上的大数定律，并将shannon - mcmillan定理推广到二重马氏链场上。