利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。
Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.
许多物理实验，若用传统的实验数据处理方法则存在着计算量大、作图误差大、公式变换复杂、所得结果不直观简洁等诸多问题。
The data processing of physics experiment with traditional method has some problems, such as generous calculation, diagraph error, complex formula-transform, indirect and complicated result.
给出曲面积分在空间坐标的正交变换下的一个计算公式。
A calculating formula for surface integrals under orthogonal transformation of space coordinates is given.
所用的可靠度计算公式直接在基本变量空间中求解，避免了繁琐的求偏导数和正交变换工作。
The formula of reliability index is calculated in the origin space directly, so derivation and orthogonal transformation are avoided.
评论了仅仅依据光速不变假设和相对性原理推导洛伦兹变换公式的方法。
The derivation methods of Lorentz transformation according to invariance of light speed and principle of relativity are commented.
首先，综述了图像域中分形编码的特性，然后导出在离散余弦变换(简称DCT)域中仿射变换的伸缩因子和偏移量的对应公式。
We firstly overview the properties of fractal coding in image domain, then we derive the corresponding formula of scaling factor and offset of affine transform in DCT domain.
给出了详细的推导过程和精确的坐标变换公式，并对结果进行了分析与比较。
The detailed deducing and accurate formula of coordination transformation are presented, the result is analysed and compared also.
应用含参变量积分变换的方法，给出了一类无穷积分的求值公式。
It is given a evaluation formula for a class of infinite integrals by applying Parametric Variable integral transformation.
最后，关于弦场和辅助场，我们获得了可以给出任意高级次场方程和规范变换的递推公式。
Finally the equation for any higher level and the descent formula of gauge transformations for the string field and the supplementary field are given.
在对多端口网络参数的等效变换中，得到了几个有趣的分块矩阵求逆公式。
Four interesting formulas for the block matrix inversion are derived from equivalent transformations of multi-port network parameters in this paper.
利用坐标平移、旋转变换，导出旋转曲面面积求法的一般公式。
By making use of transformation of coordinate translation, coordinate rotation, we deduced general formula about area of rotational surface.
实践结果表明，这些变换公式可用之于实际作业。
It has been shown that these transformation formulae are used in the practical work.
对循环常数的计算方法进行了研究，提出了一个矩形公式，并用参数变换法对一些疑难问题进行了讨论。
Studies the computation method of a circular constant, obtain a rectangular formular, and discusses some difficult problems with parameter transformation.
本文提供了坐标系统的变换公式，以达到在同一椭球面上进行距离计算。
This paper affords the transformation formula of coordinate systems so that the calculation of propagation range may be carried out on the same spheroidal surface.
本文证明了多重级数的一般变换公式。
In this paper, a general transformation formula for multiple series is proved.
用线性变换分形的方法分析和预测墨西哥湾平台价格，并给出有关公式。
This paper analyzes and predicts platform price in Gulf of Mexico, gives related formula with fractals method.
给出了函数的极态概念，讨论了极态变换的公式和应用。
The concept of limit form with function is given, then the transformation formulas of limit form and some applications are discussed.
通过分析光栅海图的投影原理和投影后的经纬度分布特点，利用墨卡托投影变换公式得出了其相应的数学模型和相关算法。
In the paper, through analyzing the two kinds of the coordinate systems' characteristics, the mathematical model and the correlative transformation formula was obtained.
分析了几种不同的动态聚焦系统的特点，给出了激光束通过该系统的变换公式以及光杠杆比和透镜焦距的确定方法。
The several dynamic focus systems are analyzed. The transmission formulas of laser through them and the way to define the optical lever ratio and the focus of lens are given.
介绍了量程可变的线性坐标系统的坐标变换公式及其技巧。
Gives the coordinate scale formulas of linear coordinate system of changeable range.
在大多数介绍狭义相对论的文章中，导出洛仑兹变换公式的依据都是相对性原理和光速不变原理。
In this paper, authors present a derivation of the Lorents transformation by invoking the principle of relativity alone, without the principle of invariance of light speed.
利用测度变换和鞅方法，得到了其解析形式的定价公式。
Using the measure transformation and martingale method, the price of the analytic form is obtained.
在高斯光束变换中引入牛顿公式，使透镜变换公式更加简洁、直观。
The lens transformation formula was made more simply and intuitionistic importing Newtonian formula to Gaussian beam transformation.
将通常的洛仑兹坐标变换公式和速度变换公式推广到了一个更一般的情况。
In this paper, we generalized the Lorentz space-time transformation formula and the Lorentz velocity transformation formula to a more general case.
一旦得到这一矩阵，用传统公式计算的扭矩及雅各比可变换成铰接机械手的实际扭矩和雅各比。
Once this matrix becomes available, torques and Jacobians computed with conventional formulations can be easily transformed into the actual torques and Jacobians of coulped manipulators.
采用傅立叶变换，对展宽倍数公式进行了详细的推导，得到一套完整的计算公式。
By Fourier transform, we make an particular calculation on the formula of the multiple of the stretcher, and gain an integrity calculate formula.
介绍了针刺法非织造有针刺密度的计算公式及其变换，以及计算尺的使用，以利于生产者方便应用。
The calculation and converting of the formula for punching density of needle punching nonwovens and the usage of the slide rule are introduced, to be favourable for producers to use.
应用保形变换方法推导出水平气井产能公式，模型能考虑非达西流动以及水锁效应对水平气井产量的影响。
By using conformal transformation method, productivity formulas of horizontal well, taking effects of non-Darcy flow and water-blocking effect into account, have successful been developed.
针对传统时域傅立叶变换方法的缺点，笔者首次提出了一种从角域到倒角域的傅立叶变换方法，并推导了该变换的理论公式。
According to the shortcomings of traditional time domain Fourier transform, one new method of Angle domain Fourier transform is put forward at first time, and theoretical formulas are deduced.
针对传统时域傅立叶变换方法的缺点，笔者首次提出了一种从角域到倒角域的傅立叶变换方法，并推导了该变换的理论公式。
According to the shortcomings of traditional time domain Fourier transform, one new method of Angle domain Fourier transform is put forward at first time, and theoretical formulas are deduced.
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