查询词典 convex

First,The properties of the spherical Bezier Curvesproposed by Ken Shoemake(Spherical Bezier curve of first kind)are listed,such asEndpoint property,Symmetry property,Invariant property under solid motion,Spherical convex hull property,etc.,and the fact that this kind of spherical BezierCurve is devoid of subdivision property is pointed out;Based on subdivision,theconcept of a new kind of spherical Bezier curve(Spherical Bezier curve of secondkind)is proposed.This kind of spherical Bezier curve is continuous differentiable.Furthermore,generalization of Bezier curve on more comprehensive manifolds isdiscussed.2Spherical Chaikin algorithm and general spherical corner-cuttingalgorithm.

首先，文中列举了Ken Shoemake提出的点点生成的球面Bezier曲线(第一类球面Bezier曲线)的性质，如端点性质、对称性质、运动不变性质、球面凸包性质等，并指出这种球面Bezier曲线没有剖分性质；基于细分，文中给出了一种新的球面Bezier曲线(第二类球面Bezier曲线)的构造方法，指出这种曲线是连续可微的；作为这些理论的应用，文中改进了Ken Shoemake提出的球面插值曲线构造方法；进一步，文中探讨了Bezier曲线在更广泛的流形上的推广方法。2球面Chaikin算法和一般的球面割角算法。

An algorithm of determining the minimum convex spherical polygon is presented.

继而给出星下点最小凸球面多边形的判定算法；与传统方法不同，该算法无需求解星下点坐标即可判定星下点几何特征，进而计算卫星分布面积，作为星下点几何特征的二维表征。

If the energy function of network is convex, the network will have only one global stable point.

如果网络的能量函数为凸函数，则网络将仅有惟一一个全局稳定点。

In chapter 5, we investigate uniformly starlike and uniformly convex mappings on the unit ball in C〓, give a criterion for the latter, and obtain some results which are similar to Harnack inequalities. Hence the contents of these two mappings are richened a little.

第五章主要研究多复变数的一致星形映射和一致凸映射，给出一致凸映射的一个判别准则，并且得到关于这两个映射的类似于Harnack不等式的结果，从而使得有关这两类映射的研究内容更加丰富。

Based on the statistical learning theory and optimization theory, SVMs have been successfully applied to many fields such as pattern recognition, regression and etc.Training an SVM amounts to solving a convex quadratic programming problem.

它将机器学习问题转化为求解最优化问题，并应用最优化理论构造算法来解决问题，本文主要是从最优化理论和算法的角度对支持向量机中的最优化问题进行研究。

Compared to optimization/statistical methods, POCS has a unique framework and could handle nonlinear problems, which makes it very successful in image restoration and image sequence superresolution problems.

凸集投影算法(projection onto convex sets， POCS)是求解这一类问题的强有力的工具，与基于最优化/统计的方法相比，凸集投影算法可以处理非线性问题，并且有统一的理论框架。

By using shape analysis,stereoscopy and moment of image,a number of eigenquantumwere extracted,such as radial diameter,tangential diameter,length and area of lumen,complexof cell,comers of edge and convex-concave properties.At the same time,the algorithm ofextraction and statistical analytic methods of pattern features were put forward.

利用形态分析、体视学及图像的矩来提取如早、晚材细胞的径向、弦向直径、管胞长度、面积、密质度及边缘的角、凹凸性等特征量，并提出了这些模式特征的提取算法和统计分析方法。

Leaves in opposite pairs, thin coriaceous, oblong, or phi needle-shaped, long 6-14 cm, the top length gradually sharp, pointed or slightly blunt wedge base, edges wavy or light wavy; petiole length 8-15 mm; stipule wide and triangular, was born in the Ministry of young vine at the top of drill-like long-tip , was born in the old vine, 3-6 mm long, the top regular convex tip.

叶对生，薄革质，矩圆形或披针形，长6—14厘米，顶端长渐尖，基部楔尖或略钝，边缘波状或浅波状；叶柄长8—15毫米；托叶宽三角形，生于幼枝上部的顶端钻状长尖，生于老枝上的长3—6毫米，顶端常凸尖。

Stochastic maximum principle,risk-sensitive control,convex variational technique,portfolio choice

随机最大值原理，风险敏感控制，凸变分技术，投资组合选择

In order to ensure the strict feasibility of the optimal solution, in the lower-level of program, the constraints are imposed on the confidence upper bounds of the structural responses by constructing the "bounding ellipsoid", which can be obtained efficiently by solving some convex LSDP problems.

对于下层优化问题，本论文构造定界椭球，通过求解凸的LSDP模型来得到结构最不利响应的一个严格上界，确保了鲁棒结构优化设计的可置信性。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。