查询词典 regularly convex function

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。

With the help of the variable separation transformation and the Laplace-equation, the distribution of the electric field inside a parallel-plate capacitor with a convex of a semi-round-post scar or a convex of semi-ball scar is investigated.

利用分离变数法和势的拉普拉斯方程分别讨论带有半圆柱形凸出疤和半球形凸出疤两种缺陷的平行板电容器内电场分布；通过对疤上电量的计算，从电荷分布的微观解释出发，得出一些有益的结论。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了