漸近定理 的英文怎麼說

中文拼音 [jiānjìndìnglǐ]
漸近定理 英文
asymptotic theorem
  • 漸 : 漸副詞（逐步; 漸漸） gradually; by degrees
  • 近 : Ⅰ形容詞1 （空間或時間距離短） near; close 2 （接近） approaching; approximately; close to 3 （親...
  • 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...
  • 漸近 : [數學] [物理學] asymptotic; approximation漸近操作（法） evolutionary operation; 漸近點 asymptotic...
  1. By the corollary to theorem 4. 3, the origin is asymptotically stable.

    根據定理43的推論，原點是漸近穩定的。
  2. Under some natural weak assumptions that do not require the technological coefficients matrix is indecomposable, the fact that the dynamic input - output system is not asymptotically stable and the closed dynamic input - output model exists a balanced growth solution is proved

    利用矩陣特徵值理論和廣義系統理論，在相對弱的條件下（不需要直接消耗系數矩陣不可分解） ，證明了動態投入產出系統不是漸近穩定的。
  3. Firstly, by numerical and theoretical analysis, the author compares some existent confidence intervals, for example, " exact " confidence interval, wald confidence interval and bayesian confidence interval, and finds some deficiencies points of the confidence intervals, whose modification version has been proposed. also, several better confidence intervals such as are also presented. secondly, for given confidence coefficient and interval width, the author constructs a class of asymptotical two - stage interval estimate procedures. at the same time, under varies restriction of confidence coefflcientent interval width, the optional sample size of the first stage has been computed by numerical computation. the numerical computation shows that the method considered in this dissertation have good properties and applied value

    同時，由於poisson分佈的特性，我們知道不存在其參數區間長度小於0 . 5的置信區間，基於這些情況，我們主要展開了以下兩個方面的研究：一是利用數值計算分析與理論分析的方法對現有的若干置信區間如「精確」置信區間， wald置信區間， bayes置信區間等進行分析比較，發現了一些缺陷，針對這些缺陷，我們進行適當的修正，並得到幾種性質較好的置信區間如：修正大樣本區間jeffreys原則下置信區間二是針對已給定的置信系數與區間長度，我們提出了一種漸近的兩階段區間估計程序，並利用數值計算的方法，在各種置信系數與區間長度限定下，算出了最優的第一階段觀測次數（抽樣量） ，大量數據表明，本文考慮的方法性態良好，具有應用價值。
  4. Focused on the asymptotic behaviour of mediant for fourth order lagrange ' s mean value theorem and obtained the main results as followed ( the equation is abbreviated )

    摘要對四階拉格朗日中值定理中間點的漸近性質進行了研究，得到的主要結果是（方程式略） 。
  5. In the light of the recent work in biological models, especially in the chemostat models, the dissertation provides a systematic study on the asymptotical behaviour of some chemostat models built by delay or diffusion differential equations. the main contents and results in this dissertation are as follows : i ) the global asymptotic behavior of the chemostat model with the beddington - deangelies functional responses and time delays is studied. the conditions for the uniform persistence of the competing populations are obtained via uniform persistence of infinite dimensional systems

    本論文基於當前生物學模型，特別是恆化器模型的研究現狀，深入系統的研究了時滯和擴散方程描述的幾類恆化器系統的漸近性態，本文的主要內容包括以下幾個方面：一、研究了具有beddington - deangelies功能性反應函數的時滯恆化器模型，利用無窮維連續動力系統的一致持續生存的理論給出了兩競爭種群一致持續生存的充分條件，利用單調動力學系統得到了系統的全局漸近穩定性。
  6. In chapter ii we give the representation theorem of the anisotropic class besov and get the estimation of m - term approximation of it. in chaper iii the rate of m - term approximation of the anisotropic low smooth class is camputated

    在第二章先給出了各向異性besov類的表現定理，求出它的m項三角逼近的漸進階，並給出定理應用。
  7. 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。
  8. This paper consists of three parts : we first consider the non - autonomous predator - prey system with both beddirigton - deangelis functional response and dispersion. by using comparison theorem of differential equation, we study the permanance of the system. after that, by constructing suitable lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system

    本文研究三方面的內容：第一部分考慮具有擴散和beddington ? deangelis功能反應的捕食-食餌系統，利用微分方程比較原理得到該系統一致持續生存的條件；通過構造適當的lyapunov函數得到了該系統存在全局漸近穩定概周期解的充分條件。
  9. Abstract : the author studies the estimate of in the finite increment theorem, and obtains its asymptotic estimation

    文摘:研究了有限增量定理中的估值問題，獲得它的一個漸近估計。
  10. In order to prove the existence of the periodic boucing solutions, firstly we will introduce a new coordinate transformation, transform the system from right half plane to the whole plane. and give the relation of the eigenvalues of hill ' s equation and the rotation numbers, using this approach and pioncar - birkhoff twist theorem, we proved the existence of the periodic bouncing solutions for asymptotical linear oscillator

    對于周期解的存在性證明，我們引進新的坐標變換把右半平面上的碰撞問題轉化到整個平面上，給出旋轉數與hill方程的特徵值的關系，並以此來度量漸近線性振子，再應用pioncar - birkhoff扭轉定理得到周期碰撞解的存在性。
  11. For these reasons, we can apply the theory of the model reference self - adaptive control syetem design based on the theorem of balance point stabilization in the force system of asymmetric cylinder controlled by symmetric valve. the main idea of model reference self - adaptive controller is to make the self - adaptive control error incline to zero as time passed. the task to design adaptive controller is to find the control input that can make the output of the controlled system to follow that of the reference model

    因此將基於平衡點穩定定理的模型參考自適應控制系統設計理論應用於閥控非對稱缸力系統中，其基本原理是使自適應控制誤差隨時間的推移而趨向于零，自適應控制器設計的目的是尋找使被控系統的輸出漸近一致的跟隨參考模型的輸出的控制輸入，以此來改善被控系統的性能。
  12. According to the theory of differential inequality and the comparision theorem, we will establish some new and more practical criteria of the extinction, uniform persistence and globally asymptotical stability for partial species of the above system. since the narrate of the main theorem is long, we omit it. to see section 2 of chapter 3 for details

    通過利用微分不等式理論，比較定理及構造適當的lyapunov函數，得到了判別種群持續生存、滅絕和全局漸近穩定性的三個定理，這便是第三章的主要內容，由於定理較長，這里不作敘述，詳見第三章第二節。
  13. We prove theoretically that under certain reasonable assumptions the formation is asymptotically stable even wills bounded disturbances ; that is, the proposed sliding mode controller can asymptotically stabilize the errors in relative distance, relative bearing and heading direction, respectively

    在合理的假設下，從理論上證明了存在有界干擾情形下機器人編隊的漸近穩定性，即所設計的滑模控制器使得相對距離誤差、方位角誤差及運動方向誤差漸近穩定。
  14. Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups

    近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。
  15. By using bruck ' s lemma [ 10 ], passty [ 31 ] extended the results of [ 1, 16 ] to uniformly convex banach space with a frechet differentiable norm. however, there existed more or less limitations in their methods adopted. by using new techniques, chapter2 of this paper discussed the weak convergence theorem for right reversible semigroup of asymptotically nonexpansive type semigroup and the corresponding theorem for its almost - orbit in the reflexive banach space with a frechet differentiable norm or opial property

    Feattieranddotson 16 ]和bose [ l ]通過使用opial引理17 }在具弱連續對偶映照的一致凸b ~ h空間中證明了漸近非擴張映照的弱收斂定理， passty 31通過使用bruck引理10 ]把1 ， 16 ]的結果推廣到具freehet可微范數的一致凸banach空間，然而，他們的證明存在著種種局限性。
  16. Asymptotic enumeration theorem for the number of spanning trees in grids and tori

    格子圖與環紋面的支撐樹數的漸近定理
  17. The stability for difference equation is maily considered in chapter 3, where, in section 1, a new method, called " semicycle analysis method ", is introduced to investigate global asymptotic stability of rational difference equations, and which is different from the existing ways, originates from the authors " trying to solve a conjecture presented in " journal of difference equations and applications " with respect to the global asymptotic stability of a detailed rational difference equation, and which can be used to solve the global asymptotic stability of a kind of rational difference equations which are very difficult to be solved in the methods in the kno, n literature

    第三章我們主要研究了差分方程的穩定性。在第一節中介紹了一種新的方法，稱之謂「半環分析法」 ，研究有理型差分方程的全局漸近穩定性；這種方法有別于已知方法，產生於作者試圖解決國際期刊《 journalofdifferenceequationsandapplications 》上提的關於一個具體的有理型差分方程的全局漸近穩定性的猜想時；這種方法可以應用來解決一類有理型差分方程的全局漸近穩定性，且所考慮的問題很難用已有文獻中的方法解決。
  18. Strong convergence theorem of iterative sequence for a family of finite asymptotically quasi - nonexpansive mappings

    有限個漸近擬非擴張映象迭代序列強收斂定理
  19. Fixed point theorems for asymptotically regulary semigroups in banach spaces

    空間中漸近正則半群的不動點定理
  20. The results show that the chaotic motions of the bloch wall are suppressed successfully, that is, the new strategy is successful and effective. in a time - continuous dynamical system, a new optimal control scheme is proposed base on the krasovskii theory and is utilized to control the chaos in the newton - leipnik system which has double strange attractors. it is found that the n - l system can converge onto a selected fixed point rapidly and perfectly through asymptotic mode

    在時間連續動力系統方面，基於krasovskii理論本文提出了一種的新優化控制方法，並利用這一方法對一類具有雙奇怪吸引子的newton - leipnik （ n - l ）系統進行了混沌抑制，結果表明一旦控制啟動，系統行為能夠迅速漸近穩定於目標平衡點。
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