查询词典 countable subadditivity

The second chapter reviews the traditional theory of natural monopoly in the frame of classical economics, from economics of scales, economics of scopes and to subadditivity of cost, including the extension of"Marshall puzzle"and"theory of contestable markets". The third chapter analyzes the traditional theory of natural monopoly based on the new classical economics, and points out the achievements and the limitations.

我们把这一体系内的自然垄断理论称为传统自然垄断理论，主要经历了规模经济理论、范围经济理论以及成本次可加性理论，当然目前这一领域内还延伸出了马歇尔困境以及有效竞争理论等研究前沿。

As natural monopoly industry, on the one hand, tap water industry has the distinguishing features: network motion, precipitating cost, public good, subadditivity, and externality.

作为自然垄断行业，一方面，自来水行业具有明显的网络运行、沉淀成本、公益性、成本弱可加性以及外部性等特点，客观上要求实施政府管制，以克服"市场失灵"；另一方面，自来水行业又具有市场范围的地域界限性和不同区域服务水平、服务质量的差异性以及产品使用的私人特性，使得在该行业中引入市场竞争机制成为可能。

As natural monopoly industry, on the one hand, tap water industry has the distinguishing features: network motion, precipitating cost, public good, subadditivity, and externality.

作为自然垄断行业，一方面，自来水行业具有明显的网络运行、沉淀成本、公益性、成本弱可加性以及外部性等特点，客观上要求实施政府管制，以克服&市场失灵&；另一方面，自来水行业又具有市场范围的地域界限性和不同区域服务水平、服务质量的差异性以及产品使用的私人特性，使得在该行业中引入市场竞争机制成为可能。

Also, we introduced the abstract countable noun "years."

同样，我们也介绍了抽象可数名词years。

Countable and uncountable sets , the axiom of choice , Zorn's lemma.

集合论。可数和不可数集，选择公理，佐恩引理。

More precisely, under the assumptions of Dissipation, Competition and Strong Competition, we prove that there is a canonically defined countable family of unordered, disjoint invariant sets which attract all persistent trajectories whose ω-limit sets are not cycles.

的Poincaré映射，证明了在耗散性、竞争性和内部强竞争性的条件下，存在一簇至多可数个互不相交的（n-1）维不变子集吸引所有不渐近于周期轨的持续轨道。

Let D be a bounded domain with C(1) boundary in Cn . The authors use the locally finite open coverring of the countable strictly pseudoconvex to define a new partitions of unity of σpoint finite local holomorphic , constructed a generalized Cauchy integral formula with discrete local holomorphic kernel on the bounded domain D and applied it to solving the 52equation.

设D 是Cn 空间中具有C(1)边界5D 的有界域，本文利用D 上一个局部有限的可数强拟凸开复盖，定义了D上一个新的局部全纯的σ点有限的单位分解，建立了D上一个更一般的具有离散局部全纯核的Cauchy积分公式并获得D 上52 方程的具有离散核的解的积分表示。

All superclasses of closed unbounded classes are stationary and stationary classes are unbounded, but there are stationary classes which are not closed and there are stationary classes which have no closed unbounded subclass ( such as the class of all limit ordinals with countable cofinality ).

所有闭合无界类的超类是固定的并且固定类是无界的，但是有着不闭合的固定类并且有着没有闭合无界子类的固定类(比如带有可数共尾性的所有极限序数的类)。

For example, the cofinality of ω is ω, because the sequence ω·''m''( where ''m'' ranges over the natural numbers ) tends to ω; but, more generally, any countable limit ordinal has cofinality ω.

例如，ω的共尾性是ω，因为序列ω·''m''(这里的''m''取值于自然数之上)趋向于ω；但是，更加一般的说，任何可数极限序数都有共尾性ω。

In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代数中套子代数的局部导子和局部同构以及von Neumann代数的高维局部映射—局部2-上循环，证明了因子von Neumann代数中套子代数的每一个局部强连续导子和局部强连续同构分别是导子和同构；可数套所对应的套子代数的每一个有界局部导子和有界局部同构分别是导子和同构；同时，部分回答了Larson所提的问题；最后，得到von Neumann代数的每一个局部2-上循环是2-上循环。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。