例句與造句

1. the theorem of irregularity for markov chain fields on binary trees
   二元樹上的無(wú)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(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
6. It's difficult to find chained fields in a sentence. 用chained fields造句挺難的
7. 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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
8. 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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
9. 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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
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
    然后把前面所證得的一類強(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
11. 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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
12. 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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
13. 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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)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(chǎng)、馬爾可夫鏈場(chǎng)的一類強(qiáng)極限定理。作為這一類強(qiáng)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(qiáng)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(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
14. 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(guó)首屆鄉(xiāng)土菜國(guó)際烹飪大賽由中國(guó)鄉(xiāng)土菜研究協(xié)會(huì)、川味飄香廚政管理有限公司、上海億欣娛樂(lè)美食有限公司、半畝田餐飲連鎖機(jī)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(huì)、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(guó)大廚》雜志社協(xié)辦；中華藝術(shù)文化美食節(jié)組委會(huì)和義烏“半畝田”餐飲連鎖管理機(jī)構(gòu)全程承辦的一次國(guó)際性餐飲賽事，目前全國(guó)各地設(shè)60多個(gè)報(bào)名點(diǎn)，請(qǐng)各位同行于10月30日前提交報(bào)名表格和相關(guān)證明，共同見證團(tuán)結(jié)凝聚力的輝煌。
15. 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(chǎng)的漸進(jìn)均分割性，為此先構(gòu)造了一個(gè)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(chǎng)上的大數(shù)定律，并將shannon-mcmillan定理推廣到二重馬氏鏈場(chǎng)上。
16. 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(chǎng)的漸進(jìn)均分割性，為此先構(gòu)造了一個(gè)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(chǎng)上的大數(shù)定律，并將shannon-mcmillan定理推廣到二重馬氏鏈場(chǎng)上。
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