查询词典 regularly convex function

Furthermore, we show that the constant modulus cost function with non-canonical constraint is strictly convex under some conditions.

然后证明具有非标准约束的常数模准则在适当条件下是严格凸的。

In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.

在巴拿赫空间理论中，Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一，分隔性定理是Hahn-Banach定理的重要应用，本文利用"超平面"的方法，改进了一个分隔性定理的证明；另外，本文利用邻域的"平移"方法，给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。

X, s. t. g≤0(i=1, 2,…, m), where x∈R and ? g: R→R are twice continuously differentiable convex function.

x，s.t.g≤0(i=1， 2，…， m)，其中，x∈R；f，g：R→R为二次连续可微凸函数。

An application of the quality factor of convex function to chaotic signal analysis was given.

给出了凸函数品质因数在混沌信号分析中的应用实例。

Methods The theories of topology, convex analysis and functional analysis are used to study and analyze some properties of the set-valued function in the problem.

依据拓扑，凸分析和泛函分析的理论，对于锥扰动向量优化问题中特定的集值映射进行分析和研究。

At the beginning the first part, we simplify the process of the generalization of the inequality (2)[2] The simplification mainly uses the logic analysis and convex function to substitute the original intricately computing.

在第一部分开始，我们简化了文[2]中关于不等式(2)的推广的证明，主要运用了逻辑分析与凸函数这一分析工具，取代了文[2]中繁琐的计算证明。

A sufficient condition of quadratic stability for the impulsive and switched systems is given with a switching law by way of convex combination and single Lyapunov function.

在有限个备选状态反馈控制器的条件下，利用凸组合技术和李雅普诺夫函数等方法，给出脉冲切换线性广义系统二次稳定的充分条件及切换律的设计。

In Chapter 3,we discuss theconvergence of Newton's method for nonlinear inclusion problems with values in aclosed convex cone,using the new theory developed by Wang Xinghua,we generalizeRobinson's Kantorovich theorem for this problem to a more widely function classes,inthe same time our results take Smale theorem as a special case.

在第三章，我们利用王兴华最近提出的理论框架研究在闭凸锥中取值的非线性包含问题的Newton方法，将Robinson在特殊Lipshitz条件下建立的Kantorovich型收敛性定理推广至满足中心Lipshitz条件的函数类，我们建立的一般的收敛性定理同时将Smale型收敛性定理包容其中。

Especially, its operation does not depend on packet dropping. In chapter 5, we have analyzed the relation between link rate and link price of the Newton-like algorithm, which is proposed by Low et al to solve the utility function. And then we reduce the convergence procedure of Newton-like algorithm to a simple recursive procedure along a convex curve after the reduction and mathematical derivation. Thus, we found the reason that leads to the severe fluctuation of the sending rate during its convergence procedure, and then proposed our improved algorithm.

在第五章，我们在对Low等人提出的用于解决效益函数的Newton-like算法的链路速率与链路价格之间关系的深入分析的基础上，经过简化和数学推导，我们将其收敛过程归结为沿着一个凸曲线的非常简单的收敛过程，由此找到了导致Newton-like算法收敛过程中信源速率振荡剧烈的原因，在此基础上，我们提出了一个改进的链路算法。

In this paper, we use the Pluricomplex Green function to investigate the iterative poperties of holomorphic self-maps, which are defined on the unit disk, the unit ball, the bounded strongly convex domain and the bidisc.

基于该思路，本文就利用多复Green函数，在分别研究了单位圆、超球、有界强凸域以及双圆柱上全纯自映射迭代的基础上，进一步研究了一特殊非凸域-Hartogs三角形上全纯自映射迭代的性质。

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