收斂極限 的英文怎麼說

中文拼音 [shōuliǎnjíxiàn]
收斂極限 英文
limit of convergence
  • 收 : Ⅰ動詞1 （把攤開的或分散的事物聚集、合攏） put away; take in 2 （收取） collect 3 （收割） harvest...
  • 斂 : Ⅰ動詞1 （收起; 收住） hold back; keep back 2 （約束） restrain 3 （收集; 徵收） gather; collect; ...
  • 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
  • 收斂 : 1 （減弱或消失） weaken or disappear 2 （約束言行） restrain oneself 3 [數學] convergence; constr...
  • 極限 : 1 （最高的限度） the limit; the maximum; the ultimate limit; limitation; extremity; tipping point...
  1. A kind of accelerating convergence factors for limit periodic continued fraction

    一類極限循環連分式的加速收斂因子
  2. According to the variation, features of the integrand, the values of peaks and troughs are taken out and formed a slowly convergent series, and the repeated averaging scheme is performed to calculate the limit rapidly and accurately

    根據被積函數的變化特點，將波峰和波谷值抽取出來組成慢收斂序列，利用重復平均法快速而準確地求出其極限值。
  3. Definition the infinite series converges and has sum if the sequence of partial sums converges to, that is. if diverges, then the series diverges. a divergent series has no sum

    定義如果級數的部分和數列有極限，即，則稱無窮級數收斂，這時極限叫做這級數的和，並寫成；如果沒有極限，則稱無窮級數發散。
  4. The limit of the integrand f ( x ) of abnormal integral, which is convergent in the infinite range of integration, is not certainly equal zero at infinity

    摘要無窮限反常積分收斂時，其被積函數在無窮遠處的極限不一定為零。
  5. The present paper firstly represents the model about random walks in time - random environments on the right line, then the studies about recurrence - transience criteria and limit theorem by using some relative theories of markov chains, and finally a center limit theorem of this random walks in the non - recurrence case

    摘要給出了半直線上時間隨機環境下隨機游動的模型，並利用馬氏鏈理論研究了該隨機游動的常返暫留準則和依概率收斂的大數定律，得到在非常返情形下的中心極限定理。
  6. Theorem 4 ( relation of a convergent sequence between its subsequence ) if the sequence converges to, then any of its subsequence is also convergent, and the limit is also

    定理4 （收斂數列與其子數列間的關系）如果數列收斂于，那麼它的任一子數列也收斂，且極限也是。
  7. The classical probability limit theory researchs largely the weak convergence or strong approximation of partial sums of random variable sequences. there is a classical literature, such as [ 19 ], [ 37 ] about that

    經典的概率極限理論研究的對象主要是隨機變量的部分和的弱收斂性或強收斂性， [ 18 ] [ 36 ]就是這方面的經典文獻。
  8. In this thesis we mainly study degenerate - times integrated operater families and its applications to abstract cauchy problems, and we study the mean ergodicty theorems and the convergence rates of ergodic limits and approximation for k - regularized resolvent families

    本文我們主要研究退化（ r ） -次積分預解運算元族及它對抽象cauchy問題的應用，並且研究k -正則預解運算元族的平均遍歷定理和遍歷極限的收斂率。
  9. In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation. we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion. finally, we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families

    第四章我們主要研究了k -正則預解運算元族的遍歷極限的收斂率和逼近。藉助于k -泛函和相對完備化，給出了k -正則預解運算元族在0點的遍歷性，證明了一些基本性質。我們也證明了k -正則預解運算元族的遍歷極限的收斂率和逼近的一些結果。
  10. In the paper, the load incremental method is adopted. by the way of reducing the elastic model of the destructive blocks in the elements, the finite element analysis model is revised and the repeated computing process does n ' t finish until the results are converged. the proposed method can simulate the entire process of concrete structures from crack to complete damage

    分析中採用載荷增量法，對各級載荷下單元中破壞的材料分塊進行彈模折減處理，並重新生成單元剛度矩陣，經過多次迭代直至計算收斂，從而可以給出各類cfrp加固混凝土結構的載荷?變形全過程曲線，並預測其極限承載力。
  11. Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence

    函數序列關於弱收斂概率測度序列積分的極限定理
  12. In consideration of the defects of conventional ga, an improved ga has been investigated in this paper. the evolution speed and quality of the population are directly influenced by the change of the number of chromosomes in ga and by whether the paternal excellent information is passed to the offspring as much as it can. in regard to the questions existing in ga, an algorithm with dynamic population scale is provided in this paper

    在對模擬電荷配置的程序化實現方面，本文採用智能優化方法? ?遺傳演算法（ ga ） ，不過本文針對傳統ga - csm中遺傳演算法的定種群規模遺傳使得父本染色體的多樣性受到限制及同代非同父本進行繁殖、交叉、突變的遺傳方法可能收斂于局部極小值而得不到全局最優解的問題，對其加以改進，提出了一種新方法? ?變種群規模的遺傳演算法。
  13. 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。
  14. The results show that, when and 02 are in various intervals, the trajectories for systems ( i ) are either ultimately periodic or convergent to an equilibrium. the difference between system ( i ) and system ( ii ) only lies on the sign of self - feedback coefficient, but their asymptotic behavior of trajectories are much different. for the given initial value, the solutions for system ( ii ) all converge to the certain equilibrium

    結果表明：當_ 1和_ 2在不同的取值范圍內，系統（ ）的解或收斂到某一平衡點，或無限逼近於某個周期解，且部分_ 1 ， _ 2下的極限環全局穩定；系統（ ）與系統（ ）的區別僅在於自反饋系數的符號為負，但由此其解軌線的極限性態發生了很大的變化，對于確定的初值，系統（ ）的解均收斂到確定的平衡點。
  15. But it has intrinsic defects such as low convergence and local minimum because the negative gradient method is adopted in weight adjusting. an improved rbf network is introduced which has the advantage in digital approximation, classification and learning rate and at the same time, the corresponding sensibility is also analysed

    但bp網路在用於函數逼近時，權值的調節採用的是負梯度下降法，這種調節方法有它的局限性，如收斂速度慢和容易陷入局部極小等缺點。
  16. The nonrecursive algorithm is proved to terminate in finite steps and turn out to be a constant vector too. because two modifications estimated models are asymptotically uniformly nonsingular, thus the possible singularity in the adaptive pole placement systems is completely avoided. however the prior knowledge required is only the observability indices of systems, thus, the required prior knowledge is greatly reduced

    非迭代的修正策略證明了參數修正向量在有限步內收斂於一個常向量；上述兩種修正策略均保證了估計模型的一致能控性，從而徹底解決了自適應極點配中可能出現的奇異性問題，而所需的先驗知識僅為系統的能觀性指數。
  17. By the asymptotic properties of random walk we develop suffcient conditions for the convergence of conditional solution to nonconditional solution, necessary and sufficient conditions for the finiteness of absolute moments of any order and for the persistence of endogenous variables and exogenous variables

    利用隨機游動的極限性質得到了條件解收斂于無條件解的充分條件，任意階矩有限的充要條件以及外生變量與內生變量持續性的充要條件。
  18. The several ones that have more lager sensitivity to embankment settlement are found out. then, aimed at the traditional three - layer bp network ' s shortages : easily getting into local minimum value and slow convergence, the modification combined momentum method with self - adaptation study velocity is made, and one improved bp network is put forward. finally, according to the results from above sensitivity analyses, the nonlinear model main parameters of each natural layer in roadbed are approximately rectified using the improved bp network technology founded on its stronger nonlinear mapping capacity and the settlement measurements

    採用非線性有限元程序，對鄧肯-張模型中8個參數與路堤沉降的關系進行了詳細分析，找到了影響沉降的主要參數；接著，針對傳統的三層bp網路具有收斂速度慢、易陷入局部極小點等不足，對其進行了修正，提出了改進的bp神經網路模型；最後，根據上述靈敏度分析結果，基於改進的bp網路模型較強的非線性映射能力和前期沉降實測資料，對路基中各天然土層的非線性模型主要參數進行了反分析修正； （ 4 ）路堤沉降計算一維法中考慮應力歷史、側向變形的研究。
  19. Some limit properties of sequences of arbitrary b - valued random variables are studied by using truncation methods of random variables and conditional three series theorem, a class of strong limit theorems and convergence theorems for martingale difference sequences related to the conditional expectations are obtained, and some conclusions corresponding to these and some classical strong laws of large numbers are generalized

    摘要利用隨機變量的截尾方法和條件三級數定理，研究任意b值隨機變量序列的極限性質，得到了一類關于條件期望的強極限定理和鞅差序列收斂定理，推廣了與此相應的一些結果和若干經典的強大數定律。
  20. This article gets some good results on the two - order markov chains on the base of the studies of one - order markov chains : in infinite experiment, the frequency of times of stationary state is accessing to transition probability. the indication function which is the times of appearance is a special function, so this paper in forth chapter continue to study more general function regarding to two - order markov chains, which is the property of the function of two - order markov chains. in chapter five, this paper study the convergence of cesaro averages for two - order morkov chains

    在大量試驗中，固定狀態出現次數的相對頻率可以用條件概率來加以說明，它是對一重馬氏鏈強極限性質的一個推廣；本論文進一步引入了有關二重馬氏鏈更廣泛的函數即二重馬氏鏈泛函，並研究了其強極限的性質；最後研究了二重馬氏鏈泛函的平均收斂性。
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