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According to the algorithm of inverse transform in AVS audio video coding standard, this paper proposes a highly efficient hardware architecture for implementing the inverse transform function on FPGA.

根据AVS音视频编码标准中提出的反变换算法设计了一个基于FPGA的高效的反变换实现框架和方案。

We can obtain the n-dimensional inversion reconstruction formula of the image convolution-back projection by one-dimensional wavelet transform on Radon transform.

在医学上，问题的一种重要方式是从多个X射线投影值获得人体内部的密度分布，这个过程被称为计算机断层扫描。

Integrating the advantage of shorttime window Fourier transform and wavelet transform, Stransform has many characteristics such as linearity, lossless invertibility, high timefrequency resolution and so on.

之后发展起来的S变换时频分析方法综合了短时窗傅里叶变换和小波变换的优点，具有线性化，无损可逆性以及高时频分辨率等特性。

The diffusion structure has important impact on the rate of the diffusion and safety intensity for block cipher.Using the linear transform which has branch numbers as large as possible as the diffusion structure is a main method to devise block cipher.The linear transform is usually achieved by constructing the invertible matrix.

扩散结构的好坏直接影响了分组密码的扩散速度和安全强度，以分支数尽可能大的线性变换为分组密码算法的扩散结构是设计分组密码的一种重要方法，线性变换的构造可通过可逆矩阵的构造完成。

This procedure is mainly based on actual needs , and for an arbitrary isogon transform the translation and rotation transform get together to save a time when the transformation of a number of procedures called trouble

详细说明：此程序主要是根据实际的需要，把对于一个任意正多边形的平移变换和旋转变换集合在一起，省去了每次变换时调用多个程序的麻烦

So this paper shows an effective method based on an idea that uses motion compensation, general second-step keystone transform twice and at the same time, finds an isolated point and adopts WVD transform to estimate Doppler parameters for removing range walk and curvature. And what is more, the detailed deductions are given in this paper.

该文提出了一种基于利用运动补偿并两次利用广义二阶keystone变换同时结合利用孤立的散射点进行WVD变换估计多普勒参数的方法来分别消除距离弯曲和距离走动并最终对舰船成像。

Based on the generalized Fisher linear discriminant criterion, this problem is solved by combining projection transform, isomorphic mapping and compressed transform.

该文基于广义的Fisher线性判别准则，将投影变换、同构变换和压缩变换相结合，解决了这个问题，完善了小样本情况下线性鉴别分析理论。

Laplace transform has broad application of space, Laplace transform the complex function addressed in practical applications are very important, LaPlace integral transformation in pure mathematics and applied mathematics are in a powerful tool.

拉普拉斯变换有着广阔的应用空间，拉普拉斯变换在复变函数论及实际应用中都很重要，拉普拉斯积分变换在纯数学以及应用数学中都是一个有力的工具。

Experimental results show that the proposed method outperforms the Laplace transform and wavelet transform methods.

实验结果表明该算法比拉普拉斯变换法和小波变换法具有更好的融合效果。

In this paper, a new algorithm for G-S transform is established based on the delay theorem of Laplace transform.

本文基於拉氏变换的延迟定理，建立了一种新的G-S变换算法。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。