查询词典 locally bounded function

In this paper, a varieties of concepts of compactness of sets and sunsets are introduced in a complex locally convex space, which are respectively the generalizations of the known sunsets and convex sets. By establishing the relationship between restricted p-centers of a set in a complex locally convex space and restricted Chebyshev centers of the corresponding set in the quotient space with respect to ker, characterizations and uniqueness of restricted p-centers of sets in a complex locally convex space are obtained. These results are better than any other known ones when we restrict them in real normed linear spaces and real locally convex space.

本文首先在复局部凸空间中引入了几种紧性及几种太阳集的概念，它们分别是已有紧性和凸集概念的推广；然后通过建立局部凸空间中集的限制p-中心和关于ker的商空间中对应集的限制Chebyshev中心的关系，来研究局部凸空间中集的限制p-中心问题，本文即使是在实赋范空间和在实局部凸空间中所得的结果都分别是有关已知结果的深化和推广。

By using the psychologically pertinent studies for reference, this paper analyzes a pretty pass of auditor s independence from the factors including bounded rationality, bounded willpower , bounded ethicality, bounded awareness and self-serving biases.

本文借鉴心理学的相关研究结果，从有限理性、有限意志力、有限意识、有限道德和自我服务偏见等因素分析了注册会计师的独立性困境问题，指出这些问题往往不是注册会计师的道德问题，而是其审计信息处理过程中的认识局限性问题。

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学，数学，运筹学最优化；集值映射；方向导数；线性稳定；最优解集映射；参数线性规划；参数凸二次规划；误差界；次微分映射；下局部方向Lipschitzian；上局部方向Lipschitzian；局部方向Lipschitzian；凸函数；拟微分；核拟微分；拟核；星核；星微分； Penot-微分；上导数；下导数； Epi-导数；集值优化；集值分析；集值映射的次微分；最优性条件；广义锥次类凸；ε-对偶；数乘；ε-Lagrange乘子

Suppose that f is a real-valued ω〓-lower semicontinuous function defined on a ω〓closed bounded subset A〓 of the dual E〓 of a locally convex space E, which is bounded below on A〓, and suppose every ω〓 closed convex subset of C〓≡ω〓-clcoA〓 is the ω〓closed convex hull of its w〓-β-exposed points.

假设X是一个局部凸空间，X〓是其对偶。A〓是X〓上的ω〓有界闭子集，f是A〓上的ω〓-下半连续实值函数且在A〓上下有界。

In chapter four, we prove that a complete open Riemmannian manifold with Ricci curvature negatively lower bounded is of finite topological type provided that the conjugate radius is bounded from below by a positive constant and its excess is bounded by some function of its conjugate radius.

第四章，我们证明了对于Ricci曲率具负下界的完备开Riemannian流形，当其共轭半径有正下界且它的Excess被其共轭半径的某个函数所界定时，它就有有限拓扑型。

Chapter four studies the chaotic responses in a system consisting of simple pendulum and harmonic oscillator under bounded noise excitation. Firstly, the Melnikov function of the two-degree-of-freedom system under Hamiltonian perturbation is derived. The essential condition of the autonomous system for the probable onset of chaos is obtained, the Poincare maps of the system under small Hamiltonian perturbation and the effect of increasing perturbation on the Poincare maps are studies. Then for the non-autonomous system under damping and harmonic or bounded noise excitation, the largest Lyapunov exponent and Poincare maps are calculated. From the analysis of the largest Lyapunov exponent, the critical criterion for the onset of chaos, and the conclusion that the threshold of bounded noise amplitude for the onset of chaos in the system increases as the intensity parameter of Wiener process increases are obtained. The result from the analysis of Poincare maps is in agreement with that obtained from the Largest Lyapunov exponent. The effect of varying damping coefficient and intensity parameter of Wiener process is also analyzed.

第四章研究了有界噪声激励下的两自由度单摆—谐振子系统的混沌运动，首先推导了该两自由度系统仅在Hamilton扰动下的Melnikov函数，得到该自治系统可能产生混沌的必要条件；研究了该系统在小的Hamilton扰动和增大摄动情形下的Poincare截面；然后对有阻尼、谐和或有界噪声激励下的非自治系统数值计算了其最大Lyapunov指数和Poincare截面；从Lyapunov指数分析得到了这个两自由度系统产生混沌运动的临界条件及产生混沌的临界激励幅值随Wiener过程强度参数值的增大而增大的结论，Poincare截面分析的结果亦符合Lyapunov指数分析的结论；研究了Wiener过程强度参数、阻尼系数变化对Poincare截面的影响。

Under the plastic-mulched ridge and furrow cultivation, the average soil water content of furrow (12.7%) was significantly higher than that of ridge (9.1%) at the soil depths of 20-100 cm. The locally compacted ridge served as a water flow barrier and a rainfall collection area under locally compacted ridge and furrow cultivation, and the water content of furrow was significantly higher than that of ridge in the same soil depths, which was similar to the characteristic of soil water distribution under plastic-mulched ridge and furrow cultivation. No significant differences were found in soil water content of furrow between locally compacted ridge and furrow cultivation and plastic-mulched ridge and furrow cultivation, with the same efficiency of water collection.

相对于自然垄沟，膜垄的集雨效果明显，沟中土壤平均含水量显著高于垄中，20～100cm土层范围内平均土壤含水量分别为12.7％和9.1％；成垄压实土壤水分在剖面分布状况与盖膜垄沟的水分分布相似，水分向沟内集中，沟中土壤水分含量显著高于同一土层深度处垄中土壤含水量，且与盖膜垄沟处理下沟中土壤水分含量无显著差异，在集水和聚水方面表现出和膜垄的相似性。

On this basis,thelocally finite tree set is defined,and the locally finite tree martingales are defined interms of the locally finite tree set,and then a tree martingale decomposition theoremis obtained by the locally finite tree martingales.

在这个结果的基础上，我们定义了局部有限树集的概念，利用这个概念又定义了局部有限树鞅，通过局部有限树鞅给出了树鞅分解定理。

On this basis,thelocally finite tree set is defined,and the locally finite tree martingales are defined interms of the locally finite tree set,and then a tree martingale decomposition theoremis obtained by the locally finite tree martingales.

基于这个分解，证明了树鞅指标集同构于一个有向森林，这个森林中的每一棵树都是有向局部有限树，这就证明了树鞅指标集有一个分解，它的每一部分同构于一个有向无限、局部有限树。

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。

You think you're a big shot.

你认为你是一个大人物？

All states are equal, and none can receive special treatment from the federal government.

所有的州都是平等的，任何州都不能获得联邦政府的特别待遇。