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。
Convex Cuts: Tips and techniques for creating sharp, convex details in geometry under subdivision.
凸形切割：在细分下在几何形状中创建尖锐，凸形细节的提示和技术。
Based on the concept of fuzzy random variable, the concept of convex sets of fuzzy random vectors is introduced, and some examples for such type of convex sets are given.
在模糊随机变量的基础上引入了模糊随机向量凸集的概念，给出了几个模糊随机凸集的例子。
Generalized support function is a very important concept in plane convex sets, it play a crucial role in discuss kinematic measure of convex sets.
广义支持函数是平面凸域的一个非常重要的概念，它在讨论凸域的包含测度问题中起关键的作用。
The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed.
在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题，证明了几个锥次微分的存在定理。
A convex domain is approached by a convex polygon, and the approximated temperature distribution within the domain can be interpolated with the temperature data at the boundaries of the domain.
利用构造出的多边形有理插值，采用凸多边形逼近任意凸域，通过区域边界温度离散值，插值近似区域内的温度场分布。
To gain sevrial decision method of convex (concave) function by the definition of convex(concave) function and Taylor formula.
利用凸（凹）函数的定义和泰勒公式给出了凸（凹）函数的几个判别法。
In this paper, we give some criteria for convex function, strictly convex function and explicitly convex function.
本文给出了凸函数，严格凸函数和显凸函数的一些判别准则。
Then using another convex lens and a micrometer eyepiece the altered parallel rays is focused, and the imaging size of line pair of collimator imaged on the another convex lens is measured.
用一辅助凸透镜与一测微目镜进行平行光束的会聚，测出准直管玻罗板线对在辅助凸透镜焦平面上所成像的大小；
An integral property of the convex function is generalized, and the some integral inequalities of the convex function are given.
给出了凸函数的一个积分性质的推广，并由此得到了凸函数的几个积分不等式。
The main purpose of this paper is to study expansive directions for norm bodies in the CM-problem with convex and complementary convex constraints.
本文的主要目的是研究具有凸与补凸约束的CM一问题中范数体的膨胀方向；
In this paper, several properties of convex function are generalized to the case of quasi convex function.
本文讨论了将凸函数的几个性质推广到拟凸函数的情形。
The complex uniform convex space is stronger than the complex strict convex space.
复一致凸空间是比复严格凸空间更强的空间。
The processing methods of compound punching die convex die concave die and die of convex and concave for silicon steel piece cemented carbide are provided.
介绍了硅钢片硬质合金复合冲模与凸模、凹模、凸凹模等的制造方法。
As in the theory of compatible locally convex topologies, the invariant properties of quasi - compatible locally convex topologies are obtained.
如同在相容局部凸拓扑的理论中，拟相容局部凸拓扑的不变性质被获得。
On the basis of convex optimization theory, the design method about optimal guaranteed cost reliable controller and standard controller transform convex optimization arithmetic.
根据凸优化理论，最优保性能标准控制器和最优保性能可靠控制器的设计方法转化为一个线性凸优化算法。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
Through the computer to control the motor to the work of the spring production equipment, the market is mainly divided into convex and non convex turbine.
通过电脑来控制电机从而进行加工工作的弹簧生产设备，现在的市场上面主要分为凸轮机和无凸轮机。
Next, by extracting convex polygons consecutively, the noconvex polygon is described as topological structure made of convex polygons at defferent layers.
通过依次抽取外接凸多边形，将凹多边形表达为仅由凸多边形组成的多层拓扑结构。
It is shown that a point and a (compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space.
给出了赋范共轭空间的点与(紧)凸集、紧凸集之间被原空间中的点分隔的定理。
Owing to the generality of -convex functionals and the theorem forms, these forms of resonance theorem have wide application in such fields as convex body theory.
由于-凸泛函的广泛性和定理形式的一般性，共鸣定理的这种形式在凸体理论等研究领域具有广泛的应用。
In the experiment we used convex-plane unstable resonator, and analysis the convex mirrors and gain medium thermal lens as a telescope system.
实验采用凸平直线非稳腔，将凸面镜和增益介质热透镜效应等效为望远镜系统进行分析。
The concepts of weak convex and strong convex fuzzy mapping are introduced between two convex sets.
在两个凸集之间引入了弱凸模糊映射和强凸模糊映射的概念。
Convex function of demand, convex distribution of price and an optimal model for coexistence of multi-prices are established.
建立了商品销售中的凸需求函数，凸分布和多种价格并存的优化模型。
Meanwhile, the convex column has massage effect to vola when walking due to reasonable design to convex column height.
同时，通过对凸柱高度的合理设计，行走时凸柱对足底还能具有按摩的作用。
A method of image threshold based on a convex polynomial fuzzy entropy is proposed by replacing Shannon's function of fuzzy entropy with a convex polynomial.
采用一种凸多项式代替模糊熵中的香农函数，提出了基于凸多项式模糊熵的图象阈值方法。
Abstract: a method of image threshold based on a convex polynomial fuzzy entropy is proposed by replacing Shannon's function of fuzzy entropy with a convex polynomial.
文摘：采用一种凸多项式代替模糊熵中的香农函数，提出了基于凸多项式模糊熵的图象阈值方法。
This paper presents a trust region algorithm for solving the constrained interpolation and smoothing problems such as convex interpolation, convex smoothing and shape-preserving interpolation.
针对凸插值、凸光顺和保形插值等带约束条件的插值和光顺问题，提出一种信赖域方法。
The utility model discloses a liquid-filled convex lens which is an optical convex lens formed by transparent liquid filled in a convex hollow transparent solid outer shell.
充液凸透镜，是用透明液体充进凸型空心透明固体外壳中而形成的一种光学凸透镜。
The concave flange and the convex flange are provided with central pylomes for the conveying pipes to extend into; the concave flange is connected with the convex flange by the binding bolts.
凹形法兰和凸形法兰均设有供输送管伸入的中心通孔，凹形法兰和凸形法兰之间通过紧固螺栓联接。
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