坐标系的

An analysis of the intersection of torus/sphere based on coordinate transformation

同一点在两个不同的坐标系中的两种坐标之间的变换。

Detail are introduced as following: transfering the LS equation to difference equation, setting the initial conditions for different shape explosive at different initiation way (point, line, plane, divergent or convergent); the dealing method of different edge conditions; how to draw the curve graph in two dimensional space or surface graph in three dimensional space with the calculated data.

本文提出了在三维直角坐标系中爆轰波传播LS方程离散化方法，建立了相应的差分方程，研究了对不同形状炸药在多种起爆形式（点、线、面、散心、聚心）下初值条件的设定，以及各种边界条件的处理方法。

Parabolized stability equation of 3D disturbance wave was deducted under orthogonal curvilinear coordinates. The static pressure distribution on blade surface was measured in wind tunnel test, and this result was used for analysis of blade's flow stability.

推导出正交曲线坐标系下三维扰动波的抛物化稳定性方程，在风洞实验中测量叶栅叶片表面的静压分布，并结合测量结果对设计叶栅的流动稳定性进行特征值分析。

A numerical method, where the pressure is used as a primary dependent variable, is presented for the solution of the two-dimensional steady Navier-Stokes equation in general curvilinear coordinates. SIMPLE (Semi-Implicit Method for Pressure Linked Equations) is mainly adopted.

本文首先详细推导了二维任意曲线坐标系下张量形式的流动控制方程及其和压力修正方程的离散形式，应用求解压力速度耦合的SIMPLE算法，以压力为主要求解变量对Navier-Stokes方程进行数值求解。

In order to simulate the propagation of cylindrical wave in space, the perfect Boundary connecting condition of total field and scattering field is proposed.

为了模拟柱面波在空间的传播，给出了在柱坐标系下完整的总场和散射场的连接边界条件。

In cylindrical coordinate system,a modified mixed variational principle with viscous damping force is established and the corresponding state-vector equation is derived.

建立了圆柱坐标系下包含粘滞阻尼力的修正后的Hellinger-Reissner变分原理，推导了对应的状态向量方程。

Introduce time this main factor, the angle that changes from trends will analyse those who inspect demand and supply is fluctuant, its are fluctuant if the circumstance uses department of planar rectangular coordinates to have a description, the image that reach is similar cobweb, british economist Kaldor is denominate of this one academic figure " of " cobweb theory.

引入时间这个重要因素，从动态变化的角度来分析考察需求与供给的变动，其变动情况若用平面直角坐标系进行描述，得出的图象就类似蛛网，英国经济学家 kaldor 把这一理论形象定名为"蛛网理论"。

We derived the scalar quantity of magnetic quasi-static vector equation in the electromagnetic crystallizer in the cylindrical coordinates by assuming condition for the mathematical modeling of the electromagnetic crystallizer and dimensionless method and reduction of parameters of electromagnetic governing equations.

在假设了对电磁结晶器数学建模的依据条件下，通过对电磁控制方程组进行参数无量纲化和简化，在柱坐标系中，推导出电磁结晶器内的磁准静态矢量方程的标量形式。

Under the information theory, more applications are provided to those back analysis methods. Based on the Duncan-Chang E-B model, which can simulate earth-rock dam's non-linear mechanics behavior well, the paper introduced the nature coordinate system to the stress space. In this way, hydrostatic stress and stress deviator were decomposed each other.

论文以能较好模拟土石坝非线性力学行为的Duncan-Chang E-B模型为基础，通过引入应力空间下的自然坐标系，分解应力球量与应力偏量，从而导出一个在有限元计算中，位移对参数偏导数的闭合形式公式。

For this purposewe need to develop some new methods and new techniques.For example we studythe properties of the"centroid curve"and the"auxiliary curve",and identify twoplanes in which these two curves are defined respectively;we also use the relationshipbetween the"centroid curve"and its"dual curve".

为此需要发展一些新技巧和新方法，例如研究由Abel积分之比定义的"质心曲线"和"辅助曲线"的几何性质，并把这两条在不同平面上定义的曲线放在同一个坐标系中考虑，或把"质心曲线"与其"对偶曲线"联系起来考虑。

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。