查询词典 metrically convex subset

In the paper the separate theorem of convex set with weak topology σ(L ∞,L 1) is proved, and the topological characterization about No Free Lunch with Vanishing Risk Condition is given, from it, the equivalency between exist of equivalent martingale measures and NFLVR is proved, this is the first fundamental theorem of asset pricing.

资产定价的第一基本定理是数量金融学中核心的定理之一，本文证明了在 L∞的弱*拓扑σ(L∞，L1)中的凸集分离定理，并在此定理的基础上给出了没有无风险免费午餐的拓扑描述，证明了市场公平性与没有无风险免费午餐条件的等价性，从而重新证明了资产定价的第一基本定理。

This paper aims at the prominent issue that current models of spatial topological relations can not represent complex object, among which 9-Intersections Model (9IM) is well known. Therefore, taking cadastral data as example, one model of topological relations between complex and spatio-temporal objects based on 9IM is put forward. And the improved sweep-line algorithm is designed. Specific studies as follows:(1)According to the concepts of point set topology, the author distinguishes the complexity of the object, redefines the spatial point, line and region. For instance, in the simple region, concave one is more complex than convex, composite regions can be composed of many parts or with holes, and so on.

本文针对当前空间拓扑关系模型无法表达复杂对象的突出问题，以地籍对象为实例，以9I模型为基础，探索了一种适合复杂对象和时空对象的拓扑关系表达模型，较好地解决了地籍对象中各类要素间拓扑关系的描述和应用，实现了地籍变更中变化语义类型的推理和历史回溯；通过对现有的拓扑关系计算方法进行了改进，设计了相关算法，给出了C语言程序示例；最后通过实验系统的实现，验证了模型和算法的可行性。

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征，利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

There were many concave hollows and convex domes with seta on the surfaceof pincer, and some spines were observed on the surface of seta, which exhibited non-smoothsurface.

在螯的表面存在微小凹坑和半圆微凸起，在凹坑内和微凸起周围有刚毛，刚毛上有小刺，呈非光滑表面。

Most geometric inequalities concerning convex bodies have the property that the occurence of the equality sign characterizes geometrically significant objects, like balls , ellipsoids .

中文摘要：在几何中，大多几何不等式都有这样一个性质：当取一些特殊的凸体时，比如球，圆，椭球等，等号成立。

The uniqueness of solution of field point, inside a convex region due to singular source with kernel function decreasing with distance increasing, outside-region-distribution such that the boundary condition expressed by the response of the source is satisfied, is proved by using the condition of kernel function decreasing with distance increasing and an integral inequality.

应用奇源解的核函数沿距离递减的条件和积分不等式，可证这类奇源在凸域外分布只要满足以它产生的响应来表达的边界条件时，所引起相应的域内场点解是唯一的。

Mixed monotone operator; Singular two-point boundary value problem; Generalized e-concave operator; Generalized e-convex operator; Mixed monotone multivalued operator; Fixed point

基础科学，数学，数学分析混合单调算子；奇异两点边值问题；广义e-凹算子；广义e-凸算子；混合单调多值算子；不动点

The product for net slabstone forming mold, the product design main point for mold's internal surface, the product internal surface for wave form concave-convex structure.

本产品为网片石成形的模具，本产品的设计要点为模具的内表面，本产品内表面为波浪式的凹凸结构。

Valve:(dark-parallel) 1 - wedge-shaped gate valve; 2 - sleeve nut; 3 - Valve; 4 - stem; 5 - valve cover; 6 - Thrust Convex shoulder; 7 - Packing letter flange; 8 - packing; 9 - Packing Gland, 10 - hand wheel; 11 - valve cover pad.

闸阀：1--楔形闸瓣；2--套筒螺母；3--阀体；4--阀杆；5--阀盖；6--止推凸肩；7--填料函法兰；8--填料；9—填料压盖；10--手轮；11--阀盖垫。

Architecture A lengthwise groove on a molding between the convex upper part and the soffit.

深槽：在装饰线条的上部凸起部分与下部之间的一条纵向槽

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。