平面

Description of the position and motion of a wheel on a plane is applied to the cylinder of round ducts/pipes by dint of the tangent plane of the contacting point.

借助接触点的切平面，单个轮子在平面上的位置和运动描述方法被应用在圆管的柱面上。

In each step the tangent plane of limit state surface at the previous iterative point is calculated firstly, and then a line from origin to a point on the plane is determined whose intersection with limit state surface satisfies the requirement of feasible direction and convergence.

算法在每步迭代中先计算极限状态曲面在前步迭代点处的切平面，然后在此切平面上选定一个点，使该点和原点的连线与极限状态曲面的交点满足可行方向和收敛的要求。

And then this paper uses the Taylor series expansion to correct the probe positioning error in antenna near-field measurement.

根据平面波谱理论，推导了平面扫描位置误差对远场的影响，给出了位置误差上界的数学表达式，并用泰勒级数展开法对其进行了修正。

Holding the bow is like a teeterboard supported by thumb as the pivot and the cooperated forcing of forefinger and little finger produces a moment M. The "P-x-M Line Method" shows when playing a down bow, M increases with x and gradually changes its direction and this process is determined by P, the gravity and barycenter of bow. The "P-x-F Plane Method" shows that the most force-saving bowing path should locate in the lower part of this plane. The analyses of "Helmholtz Motion" and "Schelleng Diagram" indicate P and its range is in direct ratio with volume, velocity of bow, the approaching degree of the bow to the bridge and has some relationship with the quality of string and bow.

国内近期出现了用物理模型来研究小提琴运弓问题的尝试本文第一部分首先指出握弓类似于一个以***(F3)为支点的跷跷板，主要以食指(F1)和小指(F2)的施力配合，产生握弓力矩M；随后用"P-x-M直线法"证实：演奏下弓是M随的***而逐渐增大并转换方向的***，此***取决于P、弓的重力和重心；并首创"P-x-F平面法"，在x，F1，F2空间中证实：省力的运弓路径应在该平面中处于较低的位置第二部分通过分析"赫尔姆霍茨运动"和"Schelleng图表"指出：P及其变化范围和音量、弓速、弓与琴码的接近程度成正比，并与琴弦和弓自身的性质有关

It's a plane somewhere, that's my plane.

某个地方的一个平面，那是我的平面。

Combined with self-organized theory of cell ular automata and elasto - plastic theory, the elasto-plastic cell ular automata updating rule is presented.

将细胞自动机的自组织理论与弹塑性理论相结合，推导了分析平面塑性问题的细胞自动机更新规则，采用Weibull随机分布模拟岩石类材料的非均质性，元胞单元服从简单的本构关系和一定的强度准则，建立平面弹塑性细胞自动机模型，开发了相应的数值分析软件。

We shall explore the theory and computational methods of the singularities of rational planar curves and rational space curves fromμ-bases.

本文中我们将首先讨论基于μ基的平面有理曲线与空间有理曲线奇点的理论及计算。特别地。对平面有理曲线。

In this system, the mathematic model of infrared thermometry calculation is established, and appropriate formulas for error analysis and calculation are obtained.

本文结合红外测温技术和非致冷焦平面热成像技术原理，开发并完成了一套非致冷红外焦平面热成像测温系统。

In fact the advantage of our coordinates transformation method is that the effective potential is more convenient to deal with than complex boundary conditions in numerical calculations.

实际上我们采用的坐标变换方法的优点就在于把非平面界面上的边界条件转化为了更利于用数值计算方法处理的平面界面系统中的有效势场。

Third, the application of MAOST is extended to the surface of 3-D rotary object to measure which formulas of coordinates transformation in cylindrical coordinates are given, and a useful algorithm is put forward to calculate those complicated formulas.

本文建立了多孔径扫描拼接测量的物理模型和数学模型，提出孔径拼接的本质是坐标变换，导出了直角坐标下测量大型平面物体面形的坐标变换公式，在此基础上进行了大平面测量的计算机模拟和实际干涉测量，结果表明，当孔径放大系数为2.34时实测精度优于λ/60。

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。