变换

According to the traditional methods, the operation of scaling down the JPEG images must be divided into three steps: The first step is that inverse DCT the JPEG image into original image.

按照传统的方法，需要把JPEG图象反向DCT变换，执行缩小操作，然后再把缩小的结果执行DCT变换，成为缩小后的JPEG图象。

This is achieved using Matlab on Laplace transform and inverse transform of the few examples.

这是用Matlab实现的关于Laplace变换及反变换的几个实例。

In the numerical calculation of electromagnetic transient response, the G-S transform method is used frequently for inverse Laplace transform.

在电磁场瞬变响应的数值计算中，常采用G-S变换法作逆拉氏变换。

Furthermore, by using the corresponding inverse Laplace integral transform and numerical solution of integral equation, the displacement and axial force as well as the shear stress of the pile are obtained.

对变换域内的积分方程采用Schapery逆变换方法得到时域内单桩的近似积分方程。数值求解所得的积分方程可以得到桩的沉降、轴力、剪力和孔压。

Three elements should be calculated in first-order circuit, which can synthesise analytical solution. Second-order series RLC and parallel RLC both can be calculated by the general function, which uses the Matlab to calculate differential equations. Generally, second-order and high-order circuits use Laplace transformation to formulate circuit equation, and get analytical solution by using Laplace inverse transform.

一阶电路先计算3要素，后合成解析结果；RLC串联和并联的二阶电路采用自编的通用函数计算，自编函数采用了Matlab求解微分方程的符号运算方法；一般的二阶电路和高阶电路采用拉氏变换列写电路方程，再用拉氏反变换得到解析结果。

The constitutive equation between current density vector and electric field strength vector is tranformed into s-domain by the principle of Laplace transform,and the inverse Laplace transform is adopted for the explicit equations between them in time-domain. Finally through exponential time stepping,the FDTD iteration equations are obtained,which can be easily solved in discrete-time-domain.

该方法是将电流密度矢量与电场强度矢量之间的本构方程基于拉普拉斯变换原理转到复频域，然后再逆变换到时域得到它们之间显式的方程，最后再结合指数差分，得到离散时域的显式的FDTD迭代方程，解决了本构方程中电流密度矢量的分量相互耦合而不易直接离散的困难。

We proposed theautomatic and semi-automatic inverse Laplace transform methods and acriteriar for the optimal choice of transform parameters.24 numerical inverseLaplace transform formulas are compared for 16 different problems that haveexact solutions.

利用流行的数值积分方法，如Newton-Cotes求积公式、Gauss求积公式和振荡函数求积公式，共构造了24种Laplace逆变换方法。然后以16个有工程应用背景的Laplace逆变换问题为例，比较了这24种方法的优劣，得到了一些新的结论。

The harmonic field of electric dipole source on the uniform earth surface is converted into transient field by inverse Laplace transform,and the Bz/ t transient curve is calculated.The Hz transient curves on the stratified earth surface are obtained from cosine transform calculated by broken line approximation.

由逆拉普拉斯变换将均匀大地面上的电偶极子源谐变电磁场转换为瞬变电磁场，并计算出Bzt瞬态曲线；对分层大地面上的瞬变电磁场，采用折线逼近法计算余弦变换得出Hz瞬态曲线。

Fourier transform and inverse Fourier transform build up mapping for signal between time domain and frequency domain.

傅立叶变换及其反变换建立了信号时域与频域的映射关系。

Based on the inverse mapping with linear deformation, the geometric mapping was used to carry out the second element transformation in order to avoid the abnormality of the stiffness matrix and to improve the stability and the convergence of the numerical calculations.

在现有线性变形逆向映射法的基础上，采用几何映射法计算变换单元，避免单元刚度矩阵出现畸形，提高钣金展开有限元逆算法的稳定性和收敛速度，对几何映射法与投影法所计算的变换单元进行了对比，数值计算结果表明用几何映射法计算的初始估算展开料形状更接近于最终的钣金件展开形状。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷