查询词典 strictly convex function

Ervertebralis of scoliosis goat apical vertebral,there is no significant difference in distribution of any two sections' sympathetic fiber in normal peoples annulus fibrosus disci intervertebralis,and there is significant difference between the sympathetic fiber distribution of convex side and concave side in annulus fibrosus disci intervertebralis of AIS apical vertebral-the sympathetic nerve supply of convex side to gain advantage concave side.

结果成功构建山羊脊柱侧凸模型，研究发现正常山羊椎间盘纤维环四个区的交感神经分布无显著差异；侧凸山羊顶椎区椎间盘凸凹侧纤维环交感神经分布无显著差异；正常人椎间盘纤维环四个区的交感神经分布无显著差异；青少年特发性脊柱侧凸患者顶椎区椎间盘凸凹侧纤维环交感神经分布有显著差异，凸侧明显多于凹侧。

For example,a generalization of linear algebra is developed in which "convex bifunctions" are the analogues of linear transformations,and "inner products" of convex sets and functions are defined in terms of the extremal values in Fenchel's Duality Theorem.

例如，一类线性代数的推广形式在凸双重函数中发展起来，而凸双重函数是线性变换的类似情况，凸集和凸函数的内积是根据 Fenchel 对偶理论的极值定义的。

In the product space of unanimity convex Hilbert, we obtained the theory of existence and uniqueness of best approximation element on weakly closed t convex set .

讨论了凸集及凸包的形态学运算的几个几何特性，并使某些文献中的几个错误结论得到修正和完善。

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 changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。