查询词典 convex

In Chapter 2,a steady permeability identification problem in elliptic equa-tions for two-dimensional orthotropic medium is considered.We construct afunctional,obtain its first and second Gateaux differential,and prove that thefunctional is strictly convex on a convex admissible function set.We seek to iden-tify the permeability by minimization of the above functional.

第二章研究了二维稳态正交异性介质的渗透率反演问题，我们构造了一个泛函，求得该泛函的一、二阶Gateaux微分，证明了它在一个凸的容许集上的严格凸性，并使用极小化泛函即变分方法来求解此问题。

With the Ben Tal generalized algebraic operation of 2 , we obtained some necessary and sufficient conditions for the class of generalized convex programming, and the results generalize the corresponding ones for the convex Programming.

利用文〔2〕中定义的Ben－Tal广义代数运算，本文得到了这类广义凸规划的Kuhn－Tucker充分条件和必要条件，所得结果推广了通常凸规划相应的结

In order to solvepiecewise algebraic varieties, we propose a new method to compute an algebraic varietyon a convex polyhedron by adding hyperplanes with the method of Groebner bases. Thus,the algebraic variety on the convex polyhedron is transformed to the positive solutionsof a system of polynomials. Besides, the minimal decomposition is also obtained.

通过添加超平面技巧将Groebner基方法应用到凸多面体内任意维代数簇的计算上，从而把凸多面体内的代数簇转化为另外一组多项式方程组的正解，并且得到了该代数簇在凸多面体内的极小分解。

Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.

本文分为四部分，第一部分在Banach空间上定义了一个新的TP凸性模和TP光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是同构的，即如果Banach空间X是一致TP凸的充分必要条件是存在一个等价范数，使得在此范数下，它是一致凸的；Banach空间X是一致TP光滑的充分必要条件是存在一个等价范数，使得在此范数下，它是一致光滑的，我们还分别得出了判定一致TP凸和一致TP光滑的一些充分必要条件，同时还证明了箸名的重赋范定理。

However, if the polygon is convex, then the bimedial and bisector skeletons will coincide and each subpolygon will be convex.

但是，如果原外围多边形本身是凸的，则中间线骨架与角分线骨架一致，且每个子多边形也均为凸。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the βperturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the fi-perturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

Nutlets dark brown, oblique subulate, trigonous-tetrahedral, 0.8-1 mm, smooth, glabrous, adaxial bottom surface slightly convex, somewhat smaller than 2 equal lateral surfaces; abaxial surfaces convex, ovate, acutely 3-ribbed; carpophore obscure, short.

小坚果暗褐色，斜的钻形，三棱四面体，0.8-1毫米，平滑，无毛，正面的底部表面有点凸，背面凸，卵形，尖锐3肋；果瓣柄阴暗，短。

The third lens group includes a 3rd-group 1st meniscus lens having a concave surface on the image plane, a 3rd-group 1st compound lens formed by joining a 3rd-group 1st negative lens having opposite concave surfaces and a 3rd-group 1st positive lens having opposite convex surfaces, and a 3rd-group 2nd meniscus lens having a convex surface on the image plane side arranged in that order from the screen side toward the image plane side.

第三透镜组包括一个在像平面侧具有凹表面的第3组第一凹凸透镜，一个由具有相对凹面的第3组第一负透镜和一个具有相对凸面的第3组第一正透镜结合的第3组第一组合透镜，和一个在像平面侧具有凸表面的第3组第二凹凸透镜，它们以从屏幕侧到像平面侧的顺序布置。

Concavo-convex business card printing and membership card making two stempelsysteme to a pair of stempelsysteme: one is a recesseda image die (with engraving business card printing and membership card making), the other is a convex image die together.

矮矮制卡和会员卡制息需给两块印模来构不败一差印模：一个是凹进去的图像模（同雕版制卡和会员卡制息差别），另一个是凹下来的图像模。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。