ergodic theory 中文意思是什麼
ergodic theory
解釋
遍歷理論-
As an application of the ergodic theory, we discuss the method of calculating a type of limits
摘要作為遍歷理論的應用，討論一類極限的求法。 -
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， 。 -
The application of ergodic sequence to quantitative theory of averaging methods in dynamical system
遍歷序列在動力系統平均方法定量研究中的應用 -
Simulation results show that it is effectiveness and the synchronization technique is robust. using quasi - stochastic property and ergodic theory of chaos, a kind of new hybrid ds / sfh spread spectrum communication scheme is presented based on vss synchronization technique
在變結構混沌同步方法的基礎上，利用混沌系統的遍歷性和偽隨機性，提出了一種新的保密性很強的混合ds sfh擴頻通信系統設計方案。 -
In the second part of the thesis, we consider a one - dimensional dynamical system with only one discontinuous - critical point and prove that the set of periodic points is uniform hyperbolic if such a map is globally expanding. han shuguang ( dynamic system & ergodic theory ) directed by prof. cao yongluo
本文第二部分對具有唯一臨界間斷點的一維映射的動力學性質進行了探討，利用最大單調區間的辦法，由映射的整體擴張性證明了映射的周期點集的一致雙曲性。 -
Nonlinear operator theorem is now a focus in nonlinear theorem. the study of the ergodic theory for semitopologocal semigroups of nonlinear operators began in the middle of 1970 ' s. it got great development because it was widely used in many problems, such as the numerical solution of differentiable equation, the existence theory of positive solution, contral theory and optimization
非線性運算元理論是非線性理論中的熱門話題，它的研究始於上世紀七十年代中期，由於它被廣泛的應用於微分方程的數值解、正解的存在性理論、控制論以及最優化等問題中，因而得到了很大的發展。 -
This paper looks soil as homogeneous stationary random fields, expatiates the application of the random process in the geotechnical engineering and establishes the basic concept, its assortment and digital feature of random process and random fields, tests whether this random fields is a stationary process and whether it is ergodic, applies correlation function theory and variable function theory in the study of the random fields of soil parameter, acquires the relation of the two theories and draws the conclusion that they are equal essentially, fits the measured curve by using the correlation function method, variable function method and other methods, and acquires the value of correlation distance, applies the random fields theory of soil parameter in actual engineering, estimates the value of elevation and other soil parameters of 92 holes in baoding city and the results are satisfying
將相關函數理論和變異函數理論分別應用於巖土參數隨機場的研究中，通過運用這兩種理論對巖土參數特性的描述，得出這兩種理論的內在聯系及其本質一致性的結論。分別運用相關函數法、變異函數法及其它求解相關距離的方法對實測函數曲線的擬合，得出描述空間相關程度的度量? ?相關距離（或變程） ，對用這幾種不同方法得出的相關距離（或變程）值進行了比較，並對這幾種方法的優劣和實用性做了評比。將巖土參數隨機場理論運用於工程實際，對保定市區某場地的92個鉆孔的各層位的層底標高及其它幾種常見的巖土參數做出了估計，預測結果比較令人滿意。 -
In this paper, we brought forward the concept of ergodic matrix over finite field f _ q, simply discussed theory of finite field including property theory of finite field, calculation in finite field and construction from low - degree finite field to high - degree finite field. there are important applications in encryption because operations in the finite field has many characteristics such as without carrying bits, equal bits and without rounding error
文中首先引入了遍歷矩陣的概念，接著對f _ q上遍歷矩陣的性質進行了分析，闡述了遍歷矩陣的判定定理，並根據遞推關系給出了構造f _ q上遍歷矩陣的演算法，最後提出了強壯矩陣的概念並初步探討了尋找強壯矩陣的演算法。 -
( 2 ) stochastic theory and other correlative theories are used to analyze iga, and the immune extend population sequence formed by iga is proved to be an aperiodic irreducible ergodic markov chain. next, the global convergence of iga is proved
2 、利用隨機過程理論及相關理論對免疫遺傳演算法進行分析，證明了由免疫遺傳摘要演算法形成的擴展免疫種群序列的強馬爾可夫性，同時還進行了不可約性、非周期性、遍歷性等性質的研究。 -
In the research of the algorithms and theory of temporal difference learning, a new class of multi - step learning prediction algorithms based on linear function approximators and recursive least squares methods is proposed, which are called the rls - td ( t ) learning algorithm. the convergence with probability one of the rls - td ( t ) algorithm is proved for ergodic markov chains, and the conditions for convergence are analyzed
在時域差值學習（ temporaldifferencelearning ）學習演算法和理論方面，首次提出了一種基於線性值函數逼近的多步遞推最小二乘td （ ） （ rls - td （ ） ）學習演算法，並分析和證明了該演算法在求解遍歷markov鏈學習預測問題中的收斂條件和一致收斂性。 -
In this paper, we brought forward the concept of ergodic matrix over finite field fq, simply discussed theory of finite field including property theory of finite field, calculation in finite field and construction from low - degree finite field to high - degree finite field
本文引入了有限域上n階遍歷矩陣的概念，對遍歷矩陣進行了初步的探討，給出了遍歷矩陣的一些定理及構造遍歷矩陣的遞推關系式，討論了其難破解性。
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