chained field造句
例句與造句
- the theorem of irregularity for markov chain fields on binary trees
二元樹上的無規(guī)則性定理 - 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 - 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(yīng)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(jié)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。 - 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(yīng)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(jié)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。 - 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(yīng)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(jié)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。 - It's difficult to find chained field in a sentence. 用chained field造句挺難的
- 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(yīng)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(jié)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。 - 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(yīng)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(jié)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。 - 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(yīng)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(jié)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。 - 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(yīng)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(jié)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。 - 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(yīng)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(jié)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。 - 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(yīng)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(jié)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。 - 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(yīng)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(jié)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。 - 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
中國首屆鄉(xiāng)土菜國際烹飪大賽由中國鄉(xiāng)土菜研究協(xié)會、川味飄香廚政管理有限公司、上海億欣娛樂美食有限公司、半畝田餐飲連鎖機構(gòu)、百年榮記餐飲管理有限公司共同主辦;由澳洲華人中餐交流協(xié)會、重慶賢銳餐飲管理公司、摯友餐飲管理公司、銳綺佳餐飲管理有限公司、《中國大廚》雜志社協(xié)辦;中華藝術(shù)文化美食節(jié)組委會和義烏“半畝田”餐飲連鎖管理機構(gòu)全程承辦的一次國際性餐飲賽事,目前全國各地設(shè)60多個報名點,請各位同行于10月30日前提交報名表格和相關(guān)證明,共同見證團結(jié)凝聚力的輝煌。 - 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類樹上的二重馬氏鏈場的漸進均分割性,為此先構(gòu)造了一個乘積空間上的網(wǎng),然后利用網(wǎng)微分法證明了一些二重馬氏鏈場上的大數(shù)定律,并將shannon-mcmillan定理推廣到二重馬氏鏈場上。 - 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類樹上的二重馬氏鏈場的漸進均分割性,為此先構(gòu)造了一個乘積空間上的網(wǎng),然后利用網(wǎng)微分法證明了一些二重馬氏鏈場上的大數(shù)定律,并將shannon-mcmillan定理推廣到二重馬氏鏈場上。
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