另一件关于二重积分的是，我们已经讲过了，如何做更复杂的变量变换。
OK, now another thing we've seen with double integrals is how to do more complicated changes of variables.
此外，本文提出的LQ定理使我们能用相关分析法，通过变量变换，把单因素非线性回归问题，化成线性形成来处理。
Besides, the LQ theorem presented in this paper can be used to change a nonlinear single regression problem to a linear one by means of transformation of variables.
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.
变量选择和变换选择是线性模型中的两个不同的问题。
Variable selection and transformation selection are two different problems in the linear model.
根据斜轧特点，利用坐标变换和变量代换方法，导出了两种计算任何斜轧辊形的公式。
Two formulas for calculating any roll configurations of a rolling mill are derived by means of coordinate transformation and variable replacement from the cross rolling characteristics.
设计了一种控制非线性系统混沌的变量旋转变换(VRT)方法。
The variable rotation transformation (VRT) method is proposed to control nonlinear chaos system.
文中介绍了扇面直波导及其腔体中电矢量位和磁矢量位的格林函数，采用分离变量法、傅里叶变换法和留数定理导出了格林函数的具体表达式。
The Green's functions for electric and magnetic vector potentials in a sectoral wave guide and its cavity are derivated by using the separation of variables, Fourier transform and residue theory.
基于蒙版方程的颜色传递机理，由色度密度变量实现色彩变换。
Based on the color transfer mechanism of the making equations, the color conversion can be performed by introducing the colorimetric density variables.
本文，讨论了应用变换变量设计滤波器的原理和方法。
In this paper theory and method of filter design are discussed with the transformed variables.
本方法对坐标和变量作了规格变化，并对方程作了特征变换，与控制方程不作特征变化的方法相比，本方法十分有效。
In this method the variables and the coordinates are normalized and the equations are transformed. The method is very efficient in comparison with that without transforming the governing equations.
按照给定的分布，这一随机变量能由(0,1)均匀分布的随机变量加以变换得到。
This random variable can be derived from a (0, 1) uniformly distributed random variable according to a given distribution.
在传递函数模型中，这些方程经过（拉氏）变换，并消去中间变量，以求得所选定的输入输出变量间的关系。
In transfer function models these equations are transformed and variables are eliminated between them to find the relation between selected input and output variables.
本文讨论多元质量数据的矢量分析方法，几何变换，坐标旋转和初始变量的主分量计算不同变量的主分量值。
This paper deals with the multivariate vector analysis of quality data by geometric transformation, rotating coordinates and computation of the principal component of initial variables.
我们将利用该理论对一些特殊变换群的联合不变量、联合微分不变量进行分类。
We will use this theory to classify joint invariants and joint differential invariants of some transformation groups.
结果表明，通过改变系统变量之间的线性变换矩阵，可以实现混沌系统中各种不稳定周期轨道的稳定控制。
The results show that the UPOs embedded in the chaotic system can be stably controlled by changing the linear transformation matrix of system variables.
单矢量传感器的互谱估计，将时域随机过程变换成了频域随机变量。
Cross spectrum estimation based on a single vector sensor has turned random process in time domain into random variables in frequency domain.
为保证闭环控制系统的鲁棒性，设计了基于交流电机的矢量变换模型的多变量解耦控制器。
To ensure the system robustness, a multi-variable decoupling controller was designed based on the vector transform model of AC motor.
应用伽利略变换对简化后的方程进行变量变换，使得曲面函数仅与空间相关；
The Galilean transformation was applied to the simplified equation to make a surface function related to only coordinates.
首先利用付里叶变换，使问题的求解转换成对一对变量为裂纹面上位移差的对偶积分方程的求解。
By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of displacements across the crack surfaces.
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.
结果表明：用并矢分析与并矢场论可以简洁且严密地证明洛伦兹变换下电动力学的不变量。
This paper shows that dyadic theory is a brief and strict method to prove the invariance of the electrodynamics under Lorentz transformation.
本文应用对偶正交变换下不变量，提出空间机构位移分析的对偶不变量方法。
Using the invariant under the dual orthogonal transformations, a method for the displacement analysis of spatial mechanisms is proposed.
引入了一种变量替换，通过这种变换可以处理频率超出随机共振理论要求范围的信号，以满足工程实际应用。
A kind of variable substitution in processing high frequency signals was suggested to improve the feasibility of the resonator in practical use.
本论文从可分(非纠缠)性的判别及局域幺正变换下的不变量的等价类的角度来研究量子纠缠的性质。
We have investigated the properties of entanglement by criterion of separability (non-entanglement) and equivalence of quantum states under local unitary transformations.
交比是和射影变换有关的一个基本不变量，利用交比不变性的计算来揭示场景的本质特征也是计算机视觉研究的一个热点。
To discover intrinsic properties of a scene by using the computation of cross ratio invariance has been one of the most hot research areas in computer vision fields.
介绍了变量旋转变换方法的控制原理，并用此方法控制声光双稳(aob)系统的混沌，以此验证其有效性。
Control principle is introduced, and acoustooptical bistable (AOB) system is taken as a typical example to demonstrate the effectiveness of this method.
提出了连续小波变换-纯变量法（CWT-PVA）解析气相色谱-质谱（GC-MS）重叠信号的新方法。
An algorithm for resolution of overlapping gas chromatographic-mass spectrometric(GC-MS) signal using continuous wavelet transform-pure variable approach(CWT-PVA) was proposed.
为解决双转子涡喷发动机多变量系统的控制问题，采用了输入变换和状态反馈的方法，并对解耦后的系统设计了伺服跟踪控制器。
The input transform and state feedback are used for multivariable control system, and the integral servo tracking controller is designed for the decoupled systeins.
为解决双转子涡喷发动机多变量系统的控制问题，采用了输入变换和状态反馈的方法，并对解耦后的系统设计了伺服跟踪控制器。
The input transform and state feedback are used for multivariable control system, and the integral servo tracking controller is designed for the decoupled systeins.
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