球面对称的

The velocity equation imelvding the actuator and the end effector velocities, and the Jacobin matrix of mechanisms are derived.

针对非对称球面五杆机构，研究了机构的奇异轨迹曲线和灵巧度。

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。

Based on the Sasians aberration theory of a bilateral symmetric optical system, the image quality of a rear view mirror with a spherical surface is studied comprehensively.

根据Sasian的面对称光学系统的象差理论，全面分析了球面后视镜的成象质量。

He also obtained similarity solutions for longitudinal and spherically symmetric motions.

他也得出了关于纵向对称运动和球面对称运动的类似解。

The USGA only requires that the golfball's dimple pattern be spherically symmetric.

美国高尔夫球协会只要求高尔夫球酒窝式样必须是球面对称的。

Because the region of laser-vapour interaction is on the symmetric axis, the author conducted thoroughgoing studies in metal evaporation in vacuum by one-dimensional model.

考虑到实际过程中，激光作用区处于蒸发装置的对称轴线上，本文用一维球面蒸发模型对真空金属蒸发作了深入的研究。

This project is to study mainly some problems in the harmonic analysis on the unit sphere with reflection-invariant measures, and others associated with reflcetion-symmetry.

本项目主要研究了球面上带有反射不变测度的调和分析问题和其它与反射对称有关的问题。

As an application of the asymptotic theory, a special wave equation is analyzed in detail.

在三维空间中，建立了一类半线性波方程在非球面对称形式下整体解的渐近理论，并给出了应用。

The ocular accommodation has a great influence on refractive components. It is not only the process by which the refractive power of the lens is increased. But the lens itself moved forward relatively. The accumulation effects of accommodation induced by near-work is the main cause of myopia developed in children. The asymmetry of corneal surface was not only related to keratometer K1 and K2 , even the curvature within the same horizontal or vertical meridian was asymmetry.

调节本身不仅是传统意义上的睫状肌收缩和晶状体变凸，同时还伴有晶状体的相对前移；调节对眼的几乎所有屈光构成因素有着显著的影响，视近活动的累积效应是儿童近视眼发生的主要原因；角膜的非球面性不但表现为两个相互垂直子午线的曲率不等，即便是在同一垂直或水平径线上的屈光分布也是非对称的。

Lenses are optical elements with 2 refractive surfaces. These can be centered sphericalally, rotationally

这些透镜是有中心的，如球面的或旋转对称的，而不是非旋转对称的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。