查询词典 converse theorem

By virtue of inverse Fourier transform and convolution theorem, a semi-analytical solution for the velocity response of a pile subjected to a semi-sine wave exciting torque is obtained in the time domain.

进一步根据桩土接触面上的位移、应力连续条件，求解了桩身动力平衡方程，在频域内得到了桩顶动力响应的解析解。

Digital holography ; Microscopic digital holography ; Wave front reconstruction ; Fresnel approximation ; Convolution method ; Angular spectrum theorem

数字全息；显微数字全息；波前重建；菲涅耳近似；卷积法；角谱方法

According to induced response method, the expression in frequency domain of pressure response at the end of pipeline is derived using impulse response method and convolution theorem. The expression indicates that that transfer function is only related to the characteristics of pipeline system and the Fourier transform of flow variable only depends on the operating characteristics, and the pressure response in frequency domain is linear with the Fourier transform of flow variable.

基于激励响应法，应用脉冲响应方法和卷积定理得出了管道末端压力响应在频域中的表达式，此式表明：传递函数只与系统的特性相关，流量变量的傅立叶变换只与操作特性相关，且压力频域响应与流量变量的傅立叶变换为线形关系，根据此式在理论上能够得到管道泄漏点的重要信息。

This paper proposes the generalized design method for the perfect reconstruction filter banks in the FRFD based on the FRFD analysis of sampling rate conversion and the fractional convolution theorem, which are the basis of the applications of filter bank theory in the FRFD.

本文从分数阶傅里叶域多抽样率信号处理基本理论和分数阶卷积定理出发，推导出了分数阶傅里叶域准确重建滤波器组的一般化设计方法，为分数阶傅里叶域滤波器组理论在实际工程中的推广应用奠定了理论基础。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

This paper describes various methods of analog modulation based on Convolution Theorem and Hilbert Transform unitedly to simplify the theoretical analysis in the" communication principle" course.

本文基于信号处理概念中的卷积定理和希尔伯特变换统一地描述各种模拟调制方式(括DSB，SSB，AM，FM)原理，旨在简化"通信基础"课程中关于模拟调制理论的分析。

Firstly, a balance equation is erected, And then,on the basis of the predecessor formula and with the Convolution Theorem and Fourier inverse transforms,a semi-analytical solution of the velocity response in time-domain under semi-sine exciting force is given.

建立成层土中桩纵向振动平衡方程，利用卷积定理和傅立叶逆变换求得半正弦脉冲激振作用下桩顶速度响应的半解析解。

The hand back image is captured by the device made by ourselves. The articular skin texture is segmented and located by utilizing Canny operator. According to convolution theorem, the fast match algorithm of two articular skin textures is given.

利用自主设计的采集装置获得手背图像，由Canny算子分割并定位手指背关节皮纹，根据卷积定理，对要测试的两背关节皮纹进行快速配准，以相关分类器作为判据，检验两者是否为同一模式。

Rader's algorithm, exploiting the existence of a generator for the multiplicative group modulo prime N, expresses a DFT of prime size n as a cyclic convolution of size N 1, which can then be computed by a pair of ordinary FFTs via the convolution theorem (although Winograd uses other convolution methods).

Rader演算法提出了利用点数为N的DFT进行长度为N-1的回旋摺积来表示原本的DFT，如此就可利用摺积用一对基本的FFT来计算DFT。

A human model using polynomial convolution surface is presented which is modeled by articulated skeletons convolved with some kernel function. The convolution surface and curve correspondence theorem under orthogonal projection is presented. The human contour is approximated with a convolution curve and 3D human pose can be estimated using a nonlinear optimization algorithm.

首先建立了一种新颖的多项式密度卷积曲面人体模型，该模型由连接体线骨架与某种卷积核卷积而成，整个曲面是一张连续曲面，调节多项式和半径参数可以让人体任意变形；给出了正交投影下卷积曲面和曲线对应的概念和相关定理，为二维的图像轮廓和三维人体模型之间建立对应关系；根据正交投影下卷积曲面与曲线对应定理，用卷积曲线去逼近人体的图像轮廓曲线，从而估计和恢复出三维人体运动姿态。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。