查询词典 metrically convex subset

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck，Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中，而当G是一般交换拓扑半群时，Hirano-Kido-Takahashi，Oka，Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

Meantime, the Namioka-Bauer's and Wong's positive extension theorem are generalized to ordered locally convex spaces (see Theorem 5.1) and hence some new necessary and sufficient conditions of positive extension in ordered locally convex spaces are obtained

同时Namioka-Bauer 定理和 Wong定理也被推广到半序局部凸空间中(定理5.1)，从而得到了一些新的关于半序局部凸空间中正延拓的充分必要条件

This article presents a branch and bound algorithm for globally solving the sum of convex-convex ratios problem with nonconvex feasible region.

本文针对一类带有反凸约束的凸函数比式和问题提出了一种求其全局最优解的分支定界算法。

In Chapter 3, existence of quasi-convex, quasi-concave, convex and concave solutions of a linear iterative functional equation are studied.

曾经有人讨论了凸迭代根和凹迭代根的存在性，但对更一般的方程——线性型迭代方程的解的凹凸性尚无结果。

Its applications are so broad that these theories and applications are in their rapid developing stages. Undoubtedly, more and more new and exciting results will be found in the near future. In this paper, the KKM principle and its variation are studied in the G -convex spaces and the product space of the G -convex spaces.

由于其广泛的应用前景，这些理论和应用的研究正处于迅速发展阶段，毫无疑问，越来越多的令人兴奋的新结果在以后将被发现。

Inspired by the intuitive geometric interpretation of SVM based on convex hulls, KNNCH maps the data in the original space to the kernel space with the kernel trick and constructs a nearest neighbor classifier in the kernel space, which takes the convex hulls of training sets as the extended class sets.

该算法的设计受到支持向量机几何解释启发，利用核函数方法将数据映射到高维核空间，并在核空间构造以训练集凸包为扩展类集的最近邻分类器。

First, the two convex hulls from the training set of approximate linear classification are similarly squeezed into the linearly separable ones, and based on the two similarly squeezed linearly separable convex hulls, an optimal separating hyperplane is figured out by using the method of halving the nearest points and the maximal margin method.

首先对近似线性分类中的训练集所形成的两类凸壳进行了相似压缩，使压缩后的凸壳线性可分；基于压缩后线性可分的凸壳，再用平分最近点和最大间隔法求出最优的分划超平面。

The female was mainly characterized by symmetrical convex gential segment, the same thorn length on either sides of the fourth sections, and no serrated ridges on the third section in the fifth thoracic appendage. No convex on the left side and long hook-like tip were found in the fifth thoracic appendage of the males.

其主要特征是：雌性生殖节左右两侧的凸起对称，雌性第五胸肢的第四节末端刺毛左、右肢等长，第三节刺毛的外缘不具锯齿；雄性第五胸肢基节左侧不具突起，末端节也不具有长钩状突起。

The concepts of the S-simplest form of a seminorm family P and the P-reflexive locally convex space are introduced. The seminorm family P and its every S-simplest form generate the same locally convex separated topology on X are proved.

引入半范数族P的S-最简形式和P-自反局部凸空间的概念，证明了半范数族P和它的每一个S-最简形式都生成X上相同的局部凸拓扑。

Lens, plano-convex lens, double-convex lens, plano-concave lens, double-concave lens, plus/minus Meniscus Lens.

球面镜：平凸透镜、双凸透镜、平凹透镜、双凹透镜、正/负弯月透镜、超半球透镜、金属球面镜、积分器及其他球面胶合镜等。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48