查询词典 convex

The results show that the microstructure of ventra1 scale for python was composed of micro-convex and plank structure that was periodically arranged, it was mensurable and could be described by 9 characteristic parameters. Its surface was different in their forward and backward lean angle. The frictional coefficient of the ventra1 scale had closely relationship with moving direction, it decreased with the increasing load. The value of the frictional coefficient was about 0.07. The frictional coefficient while python moved backward and laterally were equal, and that was 33% more than that moved ahead. The frictional force of the ventra1 scale surface was caused by mechanical tooth function of micro-convex, acting intermolecular force and material's elastic hysteresis. The difference of forward and behind bevel for micro-convex was the anisotropy reason of frictional force.

结果表明：腹鳞表面的微观结构由指状微突体和板结构部分周期排列而成，其结构可用9个特征参数定量描述；腹鳞表面摩擦力由分子作用力、表面微突体的犁沟力、楔形作用力以及材料弹性滞后共同引起；腹鳞表面的摩擦系数在0.07左右并与运动方向有关，摩擦系数随载荷增加而减小；后向运动及左、右侧向运动时摩擦系数基本相等，比前向运动时高33%左右；腹鳞表面微突体不同方向上倾斜角度的差异是引起摩擦各向异性的主要原因。

We prove an extension of the representation theorem of the convex pricing rule. We also give the corresponding probabilistic repre-sentation theorem of the convex pricing rule in a financial market with convex constraints.

我们证明了凸价格算子相应的表示定理，并给出了在凸约束的金融市场下凸价格算子的一个概率表达式。

The classic concept of fuzzy convex, set theory methods will be used by the characterization of the classical algebra convex membership function with the theoretical approach to the promotion of fuzzy math to start a fuzzy convex studies.

1971年，经典模糊凸集的概念，将用集合论方法所刻画的经典代数中凸集的理论用隶属函数的方法推广到模糊数学中去，开始了模糊凸集的研究。

In Chapter 4, we give a new proof of the local Lipschitz continuity of H-convex functions on the Heisenberg group. For a Carnot group of step two, we obtain a characterization of H-convex functions and prove that H-convex functions are locally Lipschitz continuous.

第四章，我们导出了Heisenberg群上H-凸函数的Lipschitz连续性的一个新证明，对于二阶Carnot群，我们给出了H-凸函数的一个特征并证明了Carnot群上H-凸函数是局部Lipschitz连续函数。

To generalize convex functions, Zalinescu introduced the concepts of uniformly convex functions in 1983, and discussed some properties for them;under the conditions of upper semicontinuity and lower semicontinuity, some equivalent conditions were given by Yang in 1998, so that criteria for uniformly convex functions are simplified.

作为对凸函数的推广，1983年Zalinescu提出了一致凸函数的概念，并讨论了它们的一些性质特点；1998年Yang在上半连续和下半连续条件下给出了一致凸函数的一些等价条件，简化了一致凸性函数类的判别条件。

The concept of the midpoint quasi-convex function is introduced, and some conditions are obtained to ensure that midpoint quasi-convex function is quasi-convex in the measurable function space.

本文提出了中点拟凸函数的概念，在可测函数空间中，给出了中点拟凸函数拟凸的若干个充分条件。

The result showed that convex surface is tend to possess high anti-abrasion resistence in higher wear velocity, higher convex dome and without fillet between convex and base plane.

其分析表明，泥沙在较高滑动速度、较大凸包尺寸及凸包与基底无过渡圆角时凸包分布对自由式磨料磨损的作用更大，倾向于获得较轻的磨损。

Cross section is a set of polygons and for this reason some relative algorithms for polygon are studied firstly. New algorithms for orientation and inclusion test for simple polygon are proposed. And Ghosh's convex hull algorithms for simple polygon and convex polygons, Subramanian's triangulation algorithm for arbitrary planar domain and O'Rourke's intersection algorithm for convex polygons are modified to make them more robust.

断层轮廓为简单多边形，首先对多边形的一些相关算法进行了研究，提出了一种判断简单多边形方向及点在多边形内外的新方法，改进了Subramanian的平面多连通域的三角划分方法、Ghosh的多边形的凸包及多个多边形的凸包算法和O'Rourke的凸多边形的求交算法。

In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos theorem for convex bodies in higher dimensional Euclidean spaces,. Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

Convex analysis part will study convex set, convex function and its subdifferential, Lipschitz function and its G-subdifferential in infinitive dimension.

第一，凸分析部分，包括无限维空间的凸集、凸函数和凸映射，凸函数的次微分，Lipschitz函数的G-次微分。

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