查询词典 transformation of coordinates

The element equations are derived in a fixed current element coordinates which are coincident with the current moving element coordinates. The perturbed moving element coordinates and the variation of the element nodal rotation parameters corresponding to the perturbation of element nodal displacements and rotations referred to the current fixed element coordinates is consistently determined using the first order linearization of the way used to determine the current element coordinates and element nodal rotation parameters corresponding to the incremental element nodal displacements and rotations referred to the global coordinates.

本研究在梁元素当前的变形位置上，利用元素节点的座标及断面方位建立一个移动元素座标并决定元素节点的旋转参数，对应於元素节点旋转参数扰动量的广义节点力为一广义力矩，为推导传统力和力矩与该广义力矩的关系，本研究在一个与当前的移动元素座标重合的固定元素座标上，推导出元素节点在当前固定元素座标的扰动位移和扰动旋转与元素节点旋转参数的扰动量的关系。

A relativistic transformation of generalized coordinates is discussed and it is found that the first law of thermodynamics and the equation of state of an ideal gas are invariant with respect to the relativistic transformation of generalized coordinates , so that the existence of relativistic transformation of generalized coordinates is reasonable.

讨论了一个涉及热力学的广义坐标的相对论变换，发现热力学第一定律和理想气体状态方程对广义坐标的相对论变换具有不变性，表明广义坐标的相对论变换有其存在的理由

Only with such characteristics, the movement equations can be expressed as matrices, and the idea of transforming the movement equations to the simplest form through a nonlinear transformation can be realized;(2) The form of Zi =Yi + YTH2i Y + Y7H3i Y(2)+ Y(2)T H4i Y(2)+ YTH5i Y(3) is adhibited in the nonlinear transformation, so that the multivalued problem caused by the nonlinear transformation is avoided, and the higher order transformation can be taken next;(3) The fourth order nonlinear transformation matrices H21,H31,H41 and H51 are derived, by which the original movement equations of electric power system is transformed to Jodan form in Z space;(4) By use of the fourth order nonlinear transformation, the approximate expression of the stability boundary is obtained, in Z space it is Z1= 0,in Y space it is Y1 + YTH21 Y + YTH31 Y(2)-i- Y(2) TH41 Y(2)+YTH51 Y(3)= 0;(5) The criterion used in this paper to judge whether the system critical unstable is simple and quick;(6) The method used in this paper is a direct method, and no need to construct an energy function.

正是由 于电力系统的运动方程具有这样的特性，才能写成矩阵的形式，通过非线性变换将电力系统的运动方程变换为最简单的线性形式的思想才能得以实现；（2）将通常运用于电力系统暂态稳定性分析的Normal Form变换的形式由 Yi＝ Zi＋ ZTh2riZ变形为 Zi＝ Yi＋YTH2iY＋YTH3iY（2）＋Y（2）TH4iY（2）＋YTH5iY（3），从而使得在对持续故障轨线实施同样的非线性变换以确定临界切除时间时，避免了非线性变换带来的多值性的问题，而只有在没有多值性问题的困扰下，才能采用较高阶的变换：（3）推导出了将原始电力系统系统的运动方程变换到Z空间的约当形式的非线性变换矩阵H21、H31、H41、HS1：（4）在运用四阶了「线性变换的情况下，给出了受扰动后系统的稳定边界的近似的解析表达，在Z空间为Z1=0，在y空间为： Y1+YTH21Y+YTH31Y(2)+Y(2)TH41Y(2)+YTH51Y(3)=0 （5）确定临界失稳的判据简单、快捷：对于一个复杂的电力系统，其稳定边界是相当复杂的一个高维曲面，即便是已知系统稳定边界的解析表达，要求出系统持续故障轨线何时与这一高维曲面相交，在数学上几乎是不可能实现的。

In this paper, the author reviewed the nonorthogonal coordinates one-way wave migration methods using tilted coordinates, curvilinear coordinates, and elliptic coordinates.

从倾斜坐标系、曲线坐标系和椭圆坐标系3个方面详细阐述了非正交系单程波偏移方法。

First, in the horizontal positioning accuracy aspect of total-station instrument, point out the importance of direction, distance to correct calculation and coordinates to convert, give coordinates calculated formula of single intersection point of non-symmetry type of horizontal curve, deduce to square–error's calculated formula of horizontal coordinates and point space by polar coordinates positioning methods, and analyze the main influence factor of square–error.

首先，在全站仪的平面定位精度方面，指出方向、距离归化计算和坐标转换的重要性，给出单交点非对称型平曲线坐标的计算公式，导出极坐标定位法平面坐标和点位中误差的计算公式，并分析中误差的主要影响因素。

Three tool balls , cylinders or holes should be set on it and marked with origin of coordinates, coordinates direction, the relative value between origin of coordinates and that of vehicle coordinates.

并需设有三个测量基准球或柱或孔，并标明坐标原点、坐标方向及坐标原点与汽车坐标原点的相对坐标值。

Crack propagation problems under the influence of the edges of the crack subjected to homogenous loads, the origin of the coordinates subjected to concentrated increasing loads, the central zone of the edges of the crack subjected to homogenous loads, the certain point of the edges of the crack subjected to moving unit step loads, the origin of the coordinates subjected to moving increasing loads Px m, the edges of the crack subjected to instantaneous impulse loads, the edges of the crack subjected to moving concentrated variable loads, the origin of the coordinates subjected to point loads, the edges of the crack subjected to a constant moving concentrated loads and the origin of the coordinates subjected to instantaneously moving impulse loads are studied respectively, and the analytical solutions of dislocation distribution function have been obtained.

同时对裂纹面受均布载荷、坐标原点受集中增加载荷、裂纹面中心区受均布载荷、裂纹面上某点受运动阶跃载荷、坐标原点受运动增加载荷Px m、坐标原点受瞬时冲击载荷、裂纹面受运动集中变载荷、坐标原点受集中载荷、裂纹面受常数运动集中载荷、坐标原点受瞬时运动冲击载荷作用下的裂纹扩展问题分别进行了研究，获得了位错分布函数的解析解。

Many analysis technology and space data are designed by the two-dimensional coordinates or plane coordinate, and used plain map projection methods to storage space coordinates, so many times we all need three-dimensional map projection to convert 3D geographical coordinates into the plane coordinates.

许多分析技术和空间数据都是针对二维坐标或平面坐标设计，以平面地图投影的方式来存储空间坐标，因此很多时候我们都需要利用地图投影将三维的地理坐标转换为平面坐标。

Based on these theories, it develops a GIS map projection software using Visual C++ as a platform. The software consists of two parts: analytical ordinal transformation and analytical athwart transformation. Analytical athwart transformation implements map projective transformation with coefficients obtained through numerical method, which is also the main idea of this paper. Map projective transformation process is illustrated with the examples of Mercator projection and conic projection.

地图投影建立了平面上的点(用平面直角坐标或者极坐标表示)和地球表面上的点之间的函数关系，而地理信息系统以平面直角坐标形式通过计算机图形学的方法表示2维或3维地理空间信息，因此，地图投影起到了地球空间与地理信息系统之间的坐标转换的桥梁作用[1]。

The method of Agrobacterium-mediated transformation is the most widely used in genetic transformation. To this day, only several genotypes such as Bobwhite and Yangmai158 have been used in transformation successfully. To widen the recipient genotypes, ten different genotypes were transformated by Agrobacterium-mediated In our study, transformation efficiency of B31706 and B31575 were significantly higher than Bobwhite. Moreover, regeneration rate and resistant plantlet rate of Agrobacterium-mediated genetic transformation in B31706 immature embryos callus was the highest one among the genotypes.

农杆菌介导法是目前应用较为广泛的转化方法之一，但在小麦中，只有包括Bobwhite和扬麦158在内的少数几个基因型被成功用于农杆菌介导的小麦遗传转化中，为了拓宽小麦农杆菌转化的受体基因型范围，本研究对10个不同基因型的材料进行了转化实验。B31706和B31575的转化率明显高于对照材料Bobwhite 。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。