查询词典 metrically convex subset

Accurately considering the axial extension and first order transverse shearing deformation, the geo metrically nonlinear governing equations for functionally graded Timoshenko beam subjected to mechanical as well as thermal loads were established. In the analysis it was assumed that the material properties of the beam vary continuously as a power function of the thickness.

在精确考虑轴线伸长和墓于－阶横向剪切变形理论的基础上建立了功能梯度Timoshenko梁受热－机载荷作用时的几何非线性控制方程，其中功能梯度梁的材料性质采用了沿厚度方向按照幂函数连续变化的形式。

Taking into account the large number of information contained in authoritative journal about the History of Science, while avoiding the unreliability of results concluded by a single journal, through analyzing the contents metrically from 1993 to 2005 in three most authoritative journals on History of Science (ISIS, History of Science , British Journal for the History of Science), the paper displayed detailedly the microcosmic orbits of History of Science, revealed the hot points and hold the trends from the macrocosm and provided evidence and theoretical support for Historiography of Science. This will undoubtedly have an important academic value and theoretical significance.This article has three parts.

考虑到权威期刊所蕴涵的大量的科学史信息，同时避免单一期刊研究结论的不可靠性，本文选取国际上最权威的三份科学史综合期刊《爱西斯》、《科学史》、《英国科学史杂志》(British Journal for the History of Science)，对1993-2005年的内容进行计量分析，详细地展示这十多年来科学史研究的微观发展过程，并在三者计量结果进行相互比较印证的基础上，揭示科学史研究热点及发展脉络，从宏观上把握科学史研究的学术走向，对科学史研究重点的调整提供证明与借鉴，并为科学编史学的研究提供理论支持。

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。

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