轴定理

The projection of the resultant force on an axis is equal to the algebraic sum of the projections of all forces on the same axis.

Statics 静力学合力投影定理：合力在任一轴上的投影，等于各分力在同一

By means of Heuristic Search, Branch and Bound method and Voronoi Diagram, the algorithm analyzes occlusion on complicated denture models precisely and quickly, which solved the practical problem in the application of VR technologies in dentistry.

通过推广基于分离轴定理的经典碰撞检测算法，借助启发式搜索、分支定界和Voronoi图等手段，算法可以在较短的时间内对复杂牙列模型完成高精度的定量咬合分析任务，解决了虚拟现实技术在口腔医学领域应用中的实际问题。

Use moment of inertia terms to rigid oval ring around the long axis and the short axis of the moment of inertia, and then use orthogonal axis theorem calculation rigid oval ring around the ring with the vertical plane through the central axis and the moment of inertia.

运用转动惯量定义计算出椭圆环刚体绕长轴和短轴的转动惯量，然后用正交轴定理计算椭圆环刚体绕垂直与环平面且通过中心轴的转动惯量。

Then with the relations between the output of interface 1 and the input of interface 2, double refraction and/or double internal reflection in a crystal along two successive interfaces can be calculated.

在惠更斯定理的基础上，对从空气到晶体的折射、从晶体到空气的折射、近光轴入射的晶体全内反射和近光轴反射的晶体全内反射这四种单个界面上的双折射双反射情况，给出了同时适用于o光和e光的光线方向和光波法线方向的普遍公式。

The relation of the surface shape error to f-number and relevant spherical radius was achieved according to the reducing analysis model ignoring the local f-number. Two kinds of rhombic prism model are established by ZEMAX. According to the simulation results from ZEMAX, the correctness and limitation of the former methods are proved and analyzed. The results are used to analyze the effect of the surface shape error of the rhombic prism on parallelism of the emergent beam. The assignation plan of the surface shape error for each working surface is presented.

根据忽略局部光圈数的简化分析模型，获得面形误差对应光圈数与相关球面半径的关系，通过几何处理方法，求得一定面形误差对应的球面半径与平面倾角的关系，将斜方棱镜的工作面倾斜一定角度，运用折射定理，将具体面形误差转化为相应平面的倾斜角度，得到出射光相对于理想光轴的倾斜角度及其关系式，并在ZEMAX中建立斜方棱镜的两种模型。

A new method for measuring gravitational acceleration is designed by using parallel-axis theorem of rotary inertia. The source of uncertainty in the experiment is analyzed to improve the measurement accuracy.

根据转动惯量的平行轴定理，提出了用三线摆测量重力加速度的一种新方案，从而提高了实验测量精度，并对实验的不确定度来源进行分析。

This article discusses the use of the theorem of the residues to calculate Cauchy's Principal values of the improper integral, where auxiliary function has poles of higher order on the real axis and proposes a new theorem of culcuation.

在复函中应用留数定理计算广义积分的科希主值时，许多著作仅讨论了辅助函数在实轴上有一阶极点的情形[1-3]，有的则认为：辅助函数"在实轴上的奇点不能是二阶或二阶以上的极点["4，5]。

We studied that the transfer matrix ABCD theorem for the passage of paraxial rays or the optical system possessing a rotational symmetry axis can be generalized for the skew rays propagated off-axis, whether the optical system possessing rotational symmetry axis or not.

本文推广了几何光学近轴光线传输的ABCD定理，使之适用于远离光轴的空间光线的传输，无论光学系统是旋转对称的还是非旋转对称的。

The separating axis theorem is simplified to accelerate the OBB trees continuous overlap.

通过对分离轴定理的简化，加快了OBB包围体树的连续求交测试。

Nonlinear partial differential dynamic equations of bending vibration of a tilting stepped drive shaft with two supports were built under non-inertia movement coordinate system by theorem of the motion of mass center and Heaviside function. According to the condition of equal displacement in an adjoining plane of the shaft, an equivalent shaft and its equation were obtained. A motion equation of the equivalent shaft was obtained by method of Galerkin. An approximate steady-state solution of the main resonance was obtained by method of multiple scales. The influence factors, motion stability, amplitude jump of main resonance of a stepped drive shaft and so on were analyzed.

用质心运动定理、Heaviside函数建立了非惯性系下倾料两端支承阶梯传动轴的非线性弯曲振动偏微分动力学方程，并根据相邻轴段的衔接面处位移相等的条件，得到阶梯轴的当量轴及其动力学方程；用Galerkin法得到当量轴的弯曲运动方程，用多尺度法求得稳态下当量轴的主共振的一次近似定常解，分析了影响阶梯传动轴主共振的因素、运动稳定性、振幅突变性等。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新