查询词典 convex

In this paper, based on the conjugate function and the dual programming of convex programming, with the dual cone, to conic programming, the dual programming is fully discussed, the expression of the dual programming is educed, the main dualities are proved, and the dualities of the familiar conic programming are studied.

以共轭函数和凸规划的对偶规划为基础，利用对偶锥的概念，全面讨论了一般锥规划的对偶问题，严格推导出锥规划对偶规划的表示形式，给出了锥规划的主要对偶性质，并用这些结果研究了常见锥规划的对偶性。

In this paper,with the aid of the w~*- sequential compactness of bounded closed balls in the conjugate space of a separable space,we proved that the convex hull of a finite union of bounded closed balls in l~∞ is closed.

借助可分空间的共轭空间中有界闭球的弱星序列紧性，证明在无穷维数列空间l∞中有限个闭球之并的凸包仍为闭集

In this paper, a new methodology was proposed based on the connected convex curve searching and ellipse fitting.

本文提出一种基于凸性连通分支搜索结合曲线拟合的多椭圆检测算法。

Although the IPv4 has already obtained to make the person is hard to place the success of the letter, along with lately- apply flow out continuously now, the traditional IPv4 agreement is hard have already supported an Internet to extend further with the characteristic of the new business, among them the most attractive with the most remarkable of can improve it to be placed in in its address space of size, expand a sex problem,manage a problem and choose road in addition a difficulty,service of the consignation and the safety problem of the improvement and the service quality characteristic is also convex appear, so the IPv6 transitions become no time for waiting now.

虽然IPv4已经取得了令人难以置信的成功，但随着新应用的不断涌现，传统的IPv4协议已经难以支持互联网的进一步扩张和新业务的特性，其中最显眼和最值得注意的可改进之处在于其地址空间的大小，除此之外扩展性问题、管理问题、选路困难、服务的改进和服务质量特性的交付以及安全性问题也凸现出来，因此现IPv6过渡变得迫不及待了。

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。

Secondly, based on the research of the fabric"s contexture characteristic, the author puts forward using the convex shape as yarn"s section, builds the yarns dimensional geometry model and axes equation of warp and weft. Establishes the illumination model which is fit for fabric with illumination theory.

在研究织物组织模拟的基础上，提出以凸透镜形作为纱线截面，建立了相应的纱线空间几何模型和经、纬纱轴线方程；利用光照理论，结合织物的特点，建立了适用于织物的光照模型。

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。

In this paper, the new bargaining set for continuous convex games is proved to be coincided with the core, thus the main results of [1] and [2] may be generalized to a great extent.

在这篇短文里，我们证明，对于连续凸对策，这种新的谈判集与核心重合。这就大大推广了文献[1]和[2]的主要结果。

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。

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48