第二極限定理 的英文怎麼說

中文拼音 [dìèrjíxiàndìnglǐ]
第二極限定理 英文
second limit theorem
  • 第 : Ⅰ助詞（用在整數的數詞前 表示次序） auxiliary word for ordinal numbers Ⅱ名詞1 [書面語] （科第） gr...
  • 二 : Ⅰ數詞（一加一后所得） two Ⅱ形容詞（兩樣） different
  • 極 : i 名詞1 （頂點; 盡頭） the utmost point; extreme 2 （地球的南北兩端; 磁體的兩端; 電源或電器上電流...
  • 限 : Ⅰ名詞（指定的范圍; 限度） limit; bounds Ⅱ動詞（指定范圍, 不許超過） set a limit; limit; restrict
  • 定 : Ⅰ形容詞1 （平靜; 穩定） calm; stable 2 （已經確定的; 不改變的） fixed; settled; established Ⅱ動詞...
  • 理 : Ⅰ名詞1 （物質組織的條紋） texture; grain （in wood skin etc ） 2 （道理;事理） reason; logic; tru...
  • 第二 : 1. （序數） second 2. （姓氏） a surname
  • 極限 : 1 （最高的限度） the limit; the maximum; the ultimate limit; limitation; extremity; tipping point...
  1. By using the limit theorem, the authors discuss and prove conclusions of asymptotic property of mean point in second mean value theorem for integrals in concessional terms believing that they will take an important effect in integral

    摘要利用極限理論，給出並證明了減弱條件的積分第二中值定理「中值點」的漸近性的幾個結論，相信在積分學中有著很重要的作用。
  2. In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay

    本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
  3. The method of multiple scales is used to determine the equations of modulation of amplitude and phase. the steady state response can be obtained by solving a couple of algebraic equations, which have been achieved by careful deduction under some conditions. and because of the complexity of the equations, programs are necessary to solve the equations mentioned above, and certain graphs are presented. based on chapter two, in chapter three, the method of multiple scales is introduced to the study of the multiple - dimensional nonlinear stochastic systems under random external excitation

    在第二章基礎上，第三章將多尺度法引入到相應的隨機系統的研究中；嚴格推導了系統的約簡方程，用矩方法求出穩態解應滿足的方程，獲得一些結果；並且數值模擬結果與理論推導的結果是一致的；並注意到，與其對應的確定性系統相比較，系統響應從周期解變為近似周期解，系統的相軌線從極限環變為擴大的近似極限環；隨著激勵帶寬的增大，此擴大的近似極限環的寬度將增大。
  4. In chapter l, we introduce the relative background on this paper and give some simple expressions of the work which have been studied. in chapter 2, in virtue of the notion of likelihood ratio the limit properties of the sequences of dependent nonnegative continuous random variables are studied, and a class of strong limit theorems represented by inequalities are obtained. the bounds given by these theorems depend on positive constant c. in chapter 3, by means of the notion of log likelihood ratio, a kind random strong deviation theorem are obtained, and the bounds given by these theorems depend on r ( )

    第一章，介紹本論文的選題背景，對已有的工作進行扼要的介紹；第二章，利用似然比的概念研究相依連續型非負隨機變量序列的極限性質，得到一類強偏差定理，其偏差界依賴于正常數c ；第三章，利用對數似然比的概念得到一類隨機偏差定理，其偏差界依賴于r （ ） ，證明中引進了尾概率和尾概率的laplace變換的概念；第四章，利用對數似然比的概念，得到了一類關于任意連續型隨機變量序列的泛函的強偏差定理。
  5. This paper trice to find the cause of effective ness loss and to analyze it theoretically by adopting the ways of quantitative analysis and quantitative analysis by using the way of fault tree to carry out the qualitative analysis, it draws the logic charts by various elements that cause the loss of effectiveness and to make a faucet tree to find out the loss programs, then make a final analysis of the smallest element of the fault tree. the first problem is due to the over friction by exceeding permitted limits ; the second problem is due to the gear feather ' s low inteusity, this paper adopts the method of changing the trans mission ratio of the first gear and the width of the sixth gear of second shaft so as to solve the problems

    本文採用定性和定量相結合的方法，利用失效樹進行定性分析，它通過對可能造成系統失效的各種因素，畫出邏輯框圖，從上到下繪成失效樹，找出失效譜，並對失效樹的全部最小割集進行分析，找出有可能的失效原因，再對其通過理論計算進行定量分析，由此發現第一個問題是由於離合器在極限狀況下的滑磨功超過其許用值造成的，第二個問題的原因是二軸六檔齒輪強度不足。
  6. But in more situations the random variables generating counting processes may not independent identically distributed, and in all kinds of dependent relations, negative association ( na ) and positive association ( pa ) are commonly seen. the research and apply in this aspect are rather valuable. in chap 2 we prove wald inequalities and fundamental renewal theorems of renewal counting processes generated by na sequences and pa sequences ; in chap 3 we are enlightened by cheng and wang [ 8 ], extend some results in gut and steinebach [ 7 ], obtain the precise asymptotics for renewal counting processes and depict the convergence rate and limit value of renewal counting processes precisely ; at last, in the study of na sequences, su, zhao and wang ( 1996 ) [ 9 ], lin ( 1997 ) [ 10 ] have proved the weak convergence for partial sums of stong stationary na sequences. however product sums are the generalization of partial sums and also the special condition of more general u - statistic

    但在更多的場合中，構成計數過程的隨機變量未必相互獨立，而在各種相依關系中，負相協（ na ）和正相協（ pa ）是頗為常見的關系，這方面的研究和應用也是頗有價值的，本文的第二章證明了na列和pa列構成的更新計數過程的wald不等式和基本更新定理的一些初步結果；本文的第三章則是受到cheng和wang [ 8 ]的啟發，推廣了gut和steinebach [ 7 ] ）中的一些結論，從而得到了更新計數過程在一般吸引場下的精緻漸近性，對更新計數過程的收斂速度及極限狀態進行精緻的刻畫；最後，在有關na列的研究中，蘇淳，趙林成和王岳寶（ 1996 ） 》 [ 9 ] ，林正炎（ 1997 ） [ 10 ]已經證明了強平穩na列的部分和過程的弱收斂性，而乘積和是部分和的一般化，也是更一般的u統計量的特況，它與部分和有許多密切的聯系又有一些實質性的區別，因此，本文的第四章就將討論強平穩na列的乘積和過程的弱收斂性，因為計數過程也是一種部分和，也可以構成乘積和，這個結果為研究計數過程的弱收斂性作了一些準備。
  7. With the help of this program, this paper does research on the moved backwards of the slide surface, lengthening the anchor section, the soil nail ' s total force, gets conclusion about relations between the soil nail ' s length and the slope ' s grade, height, soil ' s mechanical parameter ; relations between soil nail ' s total force and coulomb soil pressure. with the help of the large multiuse finite element program ansys, this paper analyzes the soil nailing in one - step ' s slopes, in two - steps " slopes, puts the emphasis on the axis force ' s distributing along the soil nail at each rows, the effect of both the excavating mode and the original slope figure to the axis force of the soil nail, the one another effect between the upper - step slope and the nether - step slope in the soil nail ' s axis force, gets conclusion about the design of soil nail at the first low, different slope body is the same with different excavating mode, the original slope figure has more effect to some than others because of the slope body, the reasonably design of the step width in two - steps slopes, the two - steps excavating and retaining has more virtue than the one - step ' s. through soil pressure analysis this paper does research on the differences and the links between the coulomb soil pressure theory and the rankin ' s, the vertical pressure at the slope surface when the slope surface is inclined and the retaining wall is rough, the soil pressure ' s distributing behind the panel, gets conclusion about the effect of both the slope body inner stability and the slope surface local stability to the soil pressure

    通過分析比較，論證了對數螺旋線型比圓弧形作為邊坡的假設滑裂面具有較多的工程優點，並為此編制了一個採用極限平衡法分析土釘支護的fortran語言程序，以此作工具對滑裂面的后移、土釘錨固段的超長、土釘總力的大小等方面作了研究，得出了有關土釘的長度與邊坡的坡角、坡高、土體力學參數的關系、土釘總力與庫侖土壓力間的關系等結論；採用大型通用有限元數值分析程序ansys分別對採用土釘支護的一階邊坡、二階邊坡進行分析，重點是研究各排土釘的軸力分佈規律、開挖方式及原始邊坡形態對土釘的軸力的影響、上下階邊坡在土釘軸力方面的相互作用，得出了有關第一排土釘的設計問題、不同類型的土體應適用於特定的開挖方式、原始開挖出的邊坡形態對一些類型坡體的邊坡土釘支護有較大的影響而對另外一些影響不大、二階邊坡臺階寬度的合理確定、二階開挖及支護比一階時具有較多的工程優點等結論；通過土壓力分析對朗肯、庫侖兩種經典土壓力理論的區別與聯系、坡面傾斜及墻背有摩擦時的坡面豎向應力分佈、面板背土壓力的分佈形態作了研究，得出了邊坡支擋土壓力受坡體內部穩定與坡面局部穩定兩個方面的影響、土釘支護面板背土體中卸荷拱的存在對面板受力有利等結論。
  8. By employing de finetti theorem, in chapter two we discuss the limit behaviour of interchangeable random variables squences, mainly including the convergence rates in the central limit theorem and the law of the iterated logarithm

    第二章主要討論了可交換隨機變量序列的極限性質，具體包括中心極限定理的收斂速度和重對數律，所得的結論補充了可交換隨機變量極限理論方面的結果。
  9. In second chapter, some limit theorems for function of countable markov chains in markovian environments were obtained, at the same time, some sufficient conditions on the jointly markov chains and sample function of the jointly markov chains were given

    在第二章中，建立了具有離散參數的馬氏環境中馬氏鏈函數的極限定理，並給出了加在雙鏈和過程樣本函數上的一些充分條件。
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