查询词典 strictly convex function

By level function,ε-subdifferential, normal cone and dual function, global optimal solutions for a convex function in locally convex topological vector space and a few of equivalent forms on it are obtained. Maximum points are characterized.

讨论局部凸拓扑向量空间中凸函数的全局最优解，用水平函数、ε-次微分及法向锥和共轭函数等工具刻画其最大值点，得到最优解的几个等价形式。

Convex body; star body; polar body; inequality; extremum; i—th width integral of convex body; mixed width-integral of convex bodies; mixed chord-integrals of star bodies; affine surface area; mixed affine surface area; mixed projection body; mixed body; L_p-projection body; L_p-centroid body

基础科学，数学，几何、拓扑凸体；星体；极体；不等式；极值；凸体i-次宽度积分；凸体混合宽度积分；星体混合弦长积分；仿射表面积；混合仿射表面积；混合投影体；混合体； L_p-投影体； L_p-质心体

This article outlines the progress of ancient Chinese lenses from the Pre-Qin Period to the Five Dynasties, and discusses mainly two arguments: First, the"yangsui" recorded and narrated in Lun Heng by Wang Chong of Eastern Han Dynasty may be a plano-convex glass lens; secondly, the"four mirrors" recorded and narrated in Tanzi Hua Shu by Tan Qiao of Southern Tang Dynasty may be a plano-convex lens, a biconvex lens, a transparent planeparallel plate and a concave-convex lens respectively, but what kind of tra...

本文概述了中国古代透镜从先秦到五代的发展进程，着重从古代文献和出土文物的研究出发，结合中国古代社会经济发展水平，论证了东汉王充《论衡》中记述的阳燧可能是玻璃平凸透镜；论证了南唐谭峭的《谭子化书》中记述的"四镜"可能是平凸透镜、双凸透镜、平光镜和凹凸透镜。作者认为《谭子化书》"四镜"段可能实际上是对中国古代透镜发展的阶段性总结。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述，基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合，导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性，将结构各物理参数和温度的初、边值条件均视为区间变量。

One convex set which is Cartesian product of nonregular convex polygons is used instead of the other convex set which is Cartesian product of regular polygons.

采用不规则凸多边形的笛卡儿积构成的凸集代替正多边形的笛卡儿积构成的凸集，前者比后者更紧凑。

Basics of convex set theory and the convex analysis method are introduced. A comparison of probabilistic method and convex method is made with designed examples.

介绍了凸集理论的基本定理、定义和凸分析方法，并结合例题比较了概率方法和凸分析方法。

Chapter 5 is devoted the study of fuzzy optimization in fuzzy convex analysis structure given in chapter 4. We consider the problems of minimizing and maximizing a convex fuzzy mapping over a convex set and develop necessary and/or sufficient optimality conditions.

在第5章中，首先，在第4章所建立模糊凸分析的结构基础上，考虑了凸模糊映射的极值问题，得到了凸模糊映射取得极值的充分/必要条件。

An improved algorithm of two dimensional convex hull based on included angle is proposed, and all the convex points are achieved through the maximal included angle by the increasing counter-clockwise direction. When more than one point satisfies the maximal included angle, the most distant point to the previous point is regarded as the next convex point.

提出了基于夹角的平面点集凸包改进算法，以最大夹角，按顺时针的方向可得到所有的凸点，当满足最大夹角的点不唯一时，以离当前凸点最远的点为凸点。

For satisfying to process to keep a mother line, arc mother line, whole convex degree, half convex degree, ligarithmic curve cone, cylinder roll son of demand, ability according to design whet to submit have already corresponded form noodles of spiral lead a round, spiral lead Gun, double the song lead Gun, three convex Fengs to lead Gun, and arc plank and other similar of work piece etc..

为满足加工直母线、圆弧母线、全凸度、半凸度、对数曲线圆锥、圆柱滚子的需要，能根据设计磨出具有相应形面的螺旋导轮、螺旋导辊、双曲导辊、三凸峰导辊、以及圆弧支板以及其他类似的工件等。

In this project, the theory of convex models is generalized from convex domain to non-convex domain, from small-range algorithm based on Taylor's series to large-range one so that the range of its application is extended and the computational precision is improved.

本项目将凸区域的凸模型理论推广到非凸区域上，将小范围泰勒展式算法拓广到大范围问题的求解中，扩大了凸模型理论的适用范围，提高了运算精度。

Sodium citrate; calcium carbonate; calcium hydroxide; potassium bicorbonate; magnesium carbonate; ferrous sulphate; Zinc sulphate; copper sulphate; manganese sulphate; potassium iodide; sodium selenite.

柠檬酸钠；碳酸钙；氢氧化钙；碳酸氢钾；碳酸镁；硫酸亚铁；硫酸锌；硫酸铜；硫酸锰；碘化钾；亚硒酸钠。

All this to say that I'm glad filmmaking hasn't become completely ironic. I can enjoy an ironic film as much as the next person, but they usually involve a message of some sort. One that's delivered in a smirkingly clever way that requires little in the way of talent.

所有这些都是说，我很高兴电影制作没有变成完全讽刺艺术，我可以和下一个人一样享受讽刺电影的乐趣，虽然他们经常会被划归到一定级别，技术方面不需要很高的才能。