查询词典 metrically convex subset

In this paper,several quasi-Newton algorithms are generalized to a class of new quasi-Newton equation,several modified quasi-Newton algorithm s are obtained and their global convergence are proved under the objective function is uniformly convex.

将几个拟牛顿算法推广到一类新拟牛顿方程，得到几个修正拟牛顿算法；在目标函数为一致凸的条件下，证明了它们都具有全局收敛性。

Under certain conditions, we prove the global convergence of the modified Broydens class of quasi-Newton methods for solving uniformly convex minimization problems.

并证明算法用于求解一致凸函数极小化问题时的全局收敛性。

This thesis deals with some classes of holomorphic mappings in several complex variables, such as almost starlike mappings of order α, starlike mappings of order α, strongly starlike mappings of order α, spirallike mappings of type β, uniformly starlike mappings, uniformly convex mappings and three other mappings: almost spirallike mappings of type β and order α, spirallike mappings of type β and order α and strongly spirallike mappings of type β and order α, which are defined by us in this essay.

本文主要针对多复变数的几类全纯映射族进行研究，其中包含α次的殆星映射，α次的星形映射，α次的强星形映射，β型螺形映射，一致星形映射和一致凸映射等，另外，还有几类我们自己定义的映射类：α次的殆β型螺形映射，α次的β型螺形映射和α次的强β型螺形映射等。

Since the lengths of the line segments and the angles between line segments are treated as representation parameters, it is convenient to construct energy function and to deal with displacement and length constraints. Based on this advantage, a parametrical model for human body is proposed, which can easily produce human body models with different feature sizes. The above method is just suitable for polylines. Therefore, a generic deformation method for both discrete curves and surfaces is presented. The energy function is constructed by analyzing the relationship of the points before and after deformation. Together with the displacement constraints, the deformation problem is converted to a convex quadratic programming. A necessary condition for constraint points and a sufficient condition for the uniqueness of solution are given. The proposed method can be combined with skeleton-driven animation to control the deformation.

将线段长度与线段之间的角度作为表示参数，既有利于能量函数的构造，又便于处理位移约束和长度内蕴约束条件，利用这一优势，将其应用于三维人体的参数化建模，可以方便地产生具有不同特征尺寸参数的人体模型，由于这种方法只适用于折线变形，具有较大局限性，因此，本文进一步提出一种较通用的离散曲线曲面变形方法，通过分析变形前后的位置关系来构造能量函数，再加上位移约束条件，将变形问题转化为一个凸二次规划问题，并且给出了约束点应满足的必要条件及模型解唯一的充分条件，这种方法还可以与骨架驱动变形的思想相结合，能更好的控制变形。

Convex modulus depicted overall degree of convexity of the unit sphere of spaces. It was very different for degree of convexity of each point that it would produce very great influence on the whole feature of the spaces.

凸性模刻划了空间单位球面的总体凸性程度，但是每一点的凸性程度都有很大的不同，这将会对空间的整体性质产生很大影响。

This chapter is dedicated to the study of the properties of close-to-convex univalent harmonic mappings.

在这一章中，我们主要研究了单叶调和映照的近于凸子族，首先给出了近于凸单叶调和映照与正实部解析函数之间的一个关系。

By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.

应用局部凸H－空间内具有闭零调值的上半连续集值映象的Fan－Glicksberg型不动点定理和极大化定理，对无限最优化总理2和约束对策问题在没有线性结构的局部凸H－空间内证明了解的某些新的存在定理，这些定理改进和推广了最近文献中的许多重要结果。

Existence and equivalence of solutions for a non-convex vector optimization and a variational inequality are presented.

给出一类非凸向量优化弱有效解与一变分不等式问题解的等价性和解的存在性。

A edible and choice fungus; has a convex cap that is slightly viscid when fresh and moist but soon dries and a thick bulbous tan stalk.

一种可食用的上等的菌类；有一顶凸起的帽子，当新鲜和潮湿时，有些粘，但很快会变干；有一个粗的球根状的茶色的茎。

Fluorescent colors: Orange, green, yellow, and green, red, pink, Orange, Blue Material: Paper, cardboard, acid resin, wood, PVC polystyrene, polycarbonate, acrylic resin, coating metals, with coating of polyester, ABS Application: Posters, outdoor signs, painting shift pattern printing method, PVC containers, bags and plexiglass Characteristics: Gloss, hiding power, the stability of the screen, flexibility, outdoor weather, the speed of drying, anti-alcohol / chemical resistance, the pressure convex

荧光颜色：桔红，绿，黄绿，红，粉红，桔黄，蓝基材：纸，卡纸，丁酸脂，木材，PVC 聚苯乙烯，聚碳酸酯，丙烯酸树脂类，涂漆金属，带涂层的聚酯，ABS 应用范围：宣传画，室外标志，移画印花法图案，PVC容器，箱包和有机玻璃特征：光泽，遮盖力，网版稳定性，柔韧性，室外耐候性，干燥速度，抗乙醇／化学品性，压凸

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。