查询词典 plane 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。

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。

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。

The thickness of the ice cover on the wall surface heat transfer is greater than the thickness of it on the air heat transfer form. The thickness of the ice cover on the wall surface heat transfer along the way changes slowly, but it on the air heat transfer along the way changes significantly. Reducing the entrance velocity, lowering the wall surface or air temperature, the formation of the thickness of the ice cover will increase; in the 3D circumstances, The thickness of the ice cover was relatively uniform in the import of the U-turn model, the ice cover was gradual accumulation in the convex bank when the stream traversed the import of the U-turn model, the thickness of the ice cover in the convex bank was significantly bigger than the thickness in the concave bank. The temperature field under the ice cover tends to be complex because of the existence of the secondary flows. The temperature in the convex bank is greater than it in the concave bank. Compared with the data from experiments, the laws in the numerical simulation are similar with them in the experiments

模拟结果显示：二维情况下，运用壁面传热形成的冰盖厚度大于运用空气传热形成的冰盖厚度，壁面传热形成的冰盖厚度沿程变化缓慢，而空气传热形成的冰盖厚度沿程变化明显，减小入口流速，降低壁面或空气温度等，形成冰盖的厚度都会增大；三维情况下，弯道入口处凸、凹岸形成的冰盖厚度基本相同，进入弯道后，凸岸形成的冰盖厚度逐渐增大，而凹岸的冰盖厚度逐渐减小，受横向环流的影响，冰盖下水流的温度场趋向复杂，并且凸岸的温度小于凹岸的温度；与实验室实验所得数据相比较，数值模拟研究得到的规律基本符合实验规律。

There are very sophisticated randomized algorithms for convex and non-convex optimization that rely on recently-developed methods for approximately generating uniformly distributed random variables on convex sets.

有一些关于凸型和非凸型最优化的非常复杂的随机算法，它们依赖于最近研究出的一些方法，在凸型集合中近似地产生平均分布的随机变量。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。