查询词典 transformation equation

In this paper,the area ratio of plane figure affine transformation in space is investigated,and the transformation equation of λ multiple of area is got , the area change of plane figure under affine transformation in space is studied, a important property of three axis ellipsoid is given and proved.

探讨了空间场的仿射变换下平面图形的面积比，推导出λ倍积变换方程式，进而探讨了空间场的仿射变换下平面图形面积的变化规律，给出并证明了三轴椭球体的一个重要性质。

After discussion of the relation of MR〓 and ALT, an algorithm proposed by Zhongping Qin and Huanguo Zhang, two conclusions are obtained: if a weak key can be successfully attacked by the method of reduced echelon matrix, it can also be successfully attacked by a linear R〓R〓 transformation; meanwhile, there exists such a weak key that can be successfully attacked by the algorithm MR〓 or linear R〓R〓 transformation, but this key can not be successfully attacked by the algorithm ALT. For a NFA, according to the number of solutions for the image equation of its R〓R〓 transformation, there exist two sufficient criteria about its weak invertibility and weak inverse.

通过比较MR〓与覃中平和张焕国提出的攻击FAPKC加密情形的算法ALT，证明了如下结果：凡用约化梯阵方法能攻击成功，用线性R〓R〓变换也能攻击成功；同时，存在着用算法MR〓或线性R〓R〓变换攻击成功的弱密钥，用算法ALT攻击失败。

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

Specifically, there are three kinds:(1) constant variation method to track two-body problem the root number of variables to establish perturbed equation;(2) coordinate perturbation method in order to track objects in real position and the location of an intermediate orbit perturbation differential equation as a variable to establish;(3) transformation theory, through a series of canonical transformation to reduce the order of the equations of motion to make it a more simple form.

具体做法有三种：（1）常数变异法，以二体问题轨道根数为变量建立摄动方程；（2）坐标摄动法，以天体在实际轨道上的位置与某一中间轨道上的位置差作为变量建立摄动方程；（3）变换理论，通过一系列正则变换，降低运动方程的阶数，使其具有更简单的形式。

Then the boundary element integral equation of interior and exterior form is deduced in detail, also the form with corner coefficient. The significance for numerical calculation and principle of the singular integral is analyzed, and a non-isoparametric transformation method is presented to calculate weak singular integral and Cauchy integral, the method presented provides us a very simple way to computer the two kinds of singular integral of Helmholtz boundary integral equation, and it is easy to program in computer. After the difficulty of the calculation for multi-frequency of Helmholtz boundary element is explained, a method named SECHIEF (Series Expansion Combined Helmholtz Integral Equation Formulation), which is focused on the computational efficiency, is presented.

对结构声辐射的边界积分方程的内部形式与外部形式进行了详细的推导，给出了角点系数的计算方法与边界积分方程的形式，在此基础上，分析了奇异积分产生的原理及其对数值计算的重要性，提出了一种计算奇异积分的非等参(来源：Ae8a8BC论文网www.abclunwen.com)单元的变换方法，该方法给Helmholtz 声学边界积分方程中的弱奇异积分与Cauchy 奇异积分的计算以及编程提供了极大便利。

The nonlinear equation of heat conduction is transformed into a Laplace′s equation by applying the Kirchhoff transformation ,and an analytic approximate solution of the equation is derived.

当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。

Then the momentum P in the acquired motion equation is replaced by quantum operator, thus we obtain Schrodinger equation for charged particle moving in magnetic fields in Quantum Mechanics. Then we discuss the Gauge transformation and gauge invariance of Schrodinger equation, following which the Dirac phase is introduced.

然后把经典力学中的哈密顿量量子化，得到量子化的带电粒子在磁场中运动的薛定谔方程，之后是薛定谔方程的规范变换和规范不变性，并引入Dirac不可积相因子的概念。

Based on the transformation between position space and spinor space in geometric algebra system,the perturbing Kepler equation was transformed to a linear and regular form(also called Kustaanheimo-Stiefel equation or KS equation).

利用几何代数体系中的位置空间与旋量空间之间的转换关系，将摄动Kep ler方程转化为线性、正则的旋量方程，并给出Kep ler旋量方程的解。

Time scale; delay dynamic equation; neutral dynamic equation; oscillation; generalized characteristic equation; Riccati transformation

基础科学，数学，数学分析时标；时滞动力方程；中立型动力方程；振动；广义特征方程； Riccati变换

According to the characters of iterate equation, the equation of asymmetrical three-phased state estimation can be decoupled strictly on phase coordinates, and with the rotation transformation added, the real and image part of normal equation can also be strictly decoupled.

在研究现有配电系统状态估计的基础上，根据配电系统的特点，提出了基于相坐标系的配电网三相不对称快速解耦状态估计算法。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。