拓撲子群 的英文怎麼說
中文拼音 [tàpūziqún]
拓撲子群
英文
topological subgroup-
We find a simple relation between the maximal ergodic subgroup and distal properties of algebraic actions and characterize the distal properties of zd algebraic actions. we also prove that if the group action is equicontinuous then ergodicity and topological transitivity are equivalent
討論了離散群在緊群上代數作用的極大遍歷子群與distal性質的關系；給出了z ~ d代數作用的distal性質的刻畫；證明了離散群等度連續作用下，遍歷與拓撲可遷等價。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 third part generalizes the paradigm of youth politics socialization of the network society in the aspects of macro technical background, the ways, the institution, the forms, the history, the aims, and the contents of the completely new politics socialization. the specific contents of the paradigm include as follows : the view of time and space, the view of politics and culture, and the view of value change, which are determined by the special network topological structure ; the way of socialized youth politics changes from unilateral leading to double - acting ; the institution of the socialized youth politics change from the
第三部分則從宏觀技術背景、全新的政治社會化途徑、設置、方式、歷程、目標、內容等個幾個方面對網路社會的青年政治社會化範式進行了歸納，這一範式的內容具體包括:獨特的網路拓撲結構造就青年人群全新的時空觀、政治文化觀與政治價值觀;青年政治社會化途徑由單方主導到雙向驅動的變遷;青年政治社會化設置由三元到四元的新架構;青年政治社會化方式由硬性規定、灌輸教導到潛移默化的引導;青年政治社會化歷程由原子空間到比特網路的變遷;青年政治社會化目標及內容由合格政治人到合格網路政治人的變遷。Application of neighbourhood topology based pso to reactive power optimization
鄰域拓撲粒子群優化演算法在電力系統無功優化中的應用In terms of sub - shifts of finite type determined by an irreducible matrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical
指出對于由不可約方陣所決定的符號空間有限型子轉移而言，或緊致交換群的仿射變換及樹上連續自映射而言，拓撲遍歷與拓撲可遷這兩個概念是一致的。分享友人