convexity

The Hessian matrix of the objective function is derived and analyzed to prove the global convexity of the LMF.

通过Hessian矩阵对LMF目标函数的凸性分析，证明这种检测准则拥有全局收敛的特性。

Near the time of MBO, net assets per share of the company show the property of upward convexity;

管理层收购前后，公司每股净资产均呈向上的凸性；

In this paper we obtain coefficient estimates and the radius of convexity for the class C ( b, p, A, B).

本文得到C（b，p，A，B）的系数估计和凸性半径；

In contrast, effective duration and convexity can make up for this shortcoming and are useful indicators to interest rate risks of embedded option bonds.

实际久期和实际凸度可以弥补这一缺陷，是衡量含权债券利率风险的有效指标。

The tension bridle rolls with convexity and V-type groove were developed, which have obvious effect to reduce defect amount to more than 99.2%.

新张紧辊对减少横折印缺陷效果明显，缺陷数量可减少992%以上。

In Convexity theory, the relation between bond price and yield rate is non-linear.

凸性理论，债券价格和收益率之间是非线性的凸性关系，其曲率称为凸度。

Characterizations to the Archimedean and the Convexity of Triangular Norms; Prepare localization specification ( feasibility, for markets)

三角范数Archimedean性质的刻画及凸性问题准备本地化规范（可行性、营销）

Through all the optimality sufficient conditions and duality problems were discussed on basis of generalized convexity.

这篇论文在总体上沿着广义凸性的定义来展开讨论有效解的判别条件和对偶问题.

In this paper it is proved that uniform convexity metric linear spaces with completeness are reflexive.

本文证明了完备的一致凸的度量线性空间是自反的.

Some important properties are proved for C-curves of degree five, such as convexity preserving and the variation diminishing ( V-D) properties.

在收敛性的基础上，还证明了五次C-曲线的一些重要性质，例如变差缩减性和保凸性。

We prove that matrix convexity and matrix weak convexity are equivalent when the function is continuous, so the inverse proportion function is a matrix convex function.

在函数连续的情况下，矩阵凸性与弱凸性等价，从而反比例函数具有矩阵凸性。

Results showed that growth velocity decreased gradually and temperature gradient in crystal/ melt and the convexity ratio of solid-liquid interface increased followed by the increase of heat dissipation ability of the thermal exchanger.

结果表明：随热交换器散热能力的增加，晶体生长速率逐渐减小，晶体/熔体中温度梯度、固液界面凸出率随之增大。

Convexity-screw is usually important parts which has highly machining accuracy for mechanical product.

凸形螺杆通常是螺杆机械产品中的重要部件,要求其具有较高的精度.

A minimax theorem generally involves three assumption conditions: space structures on sets X and Y, the continuity of the functions and the concavity and convexity of functions.

一个极大极小定理一般涉及三个假设条件：集合X和Y的空间结构，函数的连续性和函数的凹凸性。

The quasi-convexity in Banach space

Banach空间的亚凸性

The convexity of the seed capsule is of decisive importance in host selection.

种子囊的突起对寄主的选择起着决定性的作用.

However, on condition of heavy-tailed distributions, VaR dissatisfies convexity and subadditivity, and can't measure market risk validly.

然而，在厚尾分布条件下，目前最常用的市场风险管理模型VaR不满足凸性和次可加性，不能有效地度量市场风险。

A multiobjective optimization problem involving n set functions is considered. Optimality conditions and duality results are obtained under generalized convexity conditions.

研究了n集函数的多目标优化问题，在广义凸条件意义下，获得了n集函数优化问题的最优性条件和对偶结果。

Weak duality theorem is established under generalized convexity conditions.

在广义凸性条件下,建立了弱对偶性定理.

A Type of Convexity-Preserving Interpolatory Subdivision Scheme for Smooth Curve Generation and Its Properties

光滑曲线生成的一类保凸插值细分方法及其性质

The things are decided by many factors, and they always appear convexity.

事物的“居中”与“多元”是由事物内在的多个因素所决定.

It is also difficult to keep convexity and normality using KH linear interpolative reasoning method.

而采用KH线性插值推理也存在着难以保证推理结果的凸性和正规性等问题。

A Type of Nonlinear 4-Point Preserving-Convexity Interpolatory Discrete Subdivision Scheme and Its Application

一类非线性保凸插值离散细分格式及其性质

The paper changes the non-linear equation into a non-linear parabolic equation by a kind of change and proves the blow up of solution of its initial boundary value problem in finite time by using convexity method and maximum principle.

本文以一种变换。化非线性方程为非线性抛物型方程，并利用凸性方法及最大值原理证明其初边值问题的解于有限时间内blow up。

Finally, we also give the duality theorems under the above generalized F convexity.

最后我们亦讨论了(VP)在正切锥真有效解意义下的对偶性质.

Crystal growth velocity increased gradually followed by the decrease of heating temperature. When heating temperature was closer to crystallization temperature, rate of change of crystal growth velocity was more drastic, temperature gradient and the convexity ratio of solid-liquid interface decreased.

随加热温度的降低，晶体生长速率逐渐增大，加热温度愈接近结晶温度，晶体生长速率变化率就愈剧烈；界面凸出率及晶体/熔体中温度梯度随之减小。

Then, we define a class of tangent cone F convexity in terms of the tangent cone directional derivative, and prove the sufficient optimality conditions for ( VP).

然后利用正切锥方向导数定义一类正切锥F凸函数类，并给出了（VP）正切锥真有效解的充分性条件；

This article presents a method for shape preserving least squares approximation to the case of planar parametric curves For the convexity and fairness of curves, we adjust the curves using the least squares method and curvature property of curves under certain conditions.

利用拉格朗日乘数法对带有约束条件的参数曲线进行了优化设计，给出了一种对给定的平面上的数据点进行保形的最小二乘逼近的算法，使得到的逼近曲线是光顺的。

In this paper, we discusses the strong convexity, very convexity, near strong convexity, extremal convexity and ( w) property, and the results generalize the corresponding results in refrence and so on.

讨论了置换空间PBPS的强凸性、非常凸性、近强凸性、极端凸性及（ω）性质，其结果推广了文献[6]等相应的结论。

Chebyshev Centers and Weakly Uniform Convexity

Chebyshev中心和弱一致凸性