变换

Empirical Bayes estimates of steady-state availability in exponential distribution model;2. Using vector Markov process theory and Laplace transform method,we obtain the Laplace transform of the reliability,the mean time to first failure,the steady-state availability and the steady-state failure frequency and so.

利用向量Markov过程理论和Laplace变换的方法，求出了系统可靠度的Laplace变换，系统首次故障前平均时间的表达式，系统的稳态可用度和稳态故障频度等可靠性指标；此外，还通过数值比较考察了系统参数对系统稳态可用度的影响，并对系统进行了效益分析。

WHMM is a statistical model in wavelet domain of stochastic signals, which integrates wavelet transform into hidden markov models . According to the locality, multiscality of wavelet transform and context-sensitive property of HMM, WHMM can not only characterize precisely the local feature of object multiscally, but also reflect accurately the full structure information of object. So it is a powerful tool which deals with noise, shape similarity and part occlusion in ATR, and finds its full application in recognition system of moving vehicle.

小波隐马尔可夫模型是小波变换与隐马尔可夫模型相结合的一种小波域随机信号的统计模型，它有机地融合了小波变换的局部分析性、多尺度性和隐马尔可夫模型的上下文相关性，不仅能多尺度地精确刻画目标的局部特征，还能准确地反映目标的整体分布信息，从而成为解决目标识别中受噪声、形状相似、部分遮挡等问题的最有力的工具之一。

With a unitary transformation, the Schrodinger equation becomes the standard mathieu equation, then the energy spectrum and the wave functions of the system are obtained.

用幺正变换将薛定谔方程变换为标准的马丢方程，通过对薛定谔方程的求解，得到了系统的能级和波函数。

The way of solving matrix equation directly with primary transformation method is discussed with the premise of the matrix of coefficients being reversible, which makes the solving procedures more simple.

讨论了在系数矩阵可逆的前提下，如何用初等变换的方法直接求解矩阵方程，使求解过程更简化，同时给出一般线性方程组的初等变换直观解

This approach was based on the NonSubsampled Contourlet Transform. The means and variables of NSCT coefficients matrix in different subbands and various directions were extracted to form the feature vectors which were regarded as indexes of texture images in image database. Two similarity functions were used to compute the similarity between images. A texture retrieval system based on query image was developed.

该方法利用非下采样Contourlet变换对图像进行分解，提取不同子带和不同方向变换系数矩阵的均值和方差为特征向量，作为数据库中纹理图像的索引，并利用两种不同的相似度函数计算图像之间的相似度，建立了一套基于示例查询图像的纹理图像检索系统。

A kind of model of rotor-bearing-seal system dynamics is set up integrally in this thesis. Within this model, a new modal order-reduction method is presented, which takes the influence of nonlinear forces into account in the process of modal transformation, which makes the determination of the transformation matrix more reasonable and accurate.

提出了一种模态降阶新方法，在模态变换过程中充分考虑系统中非线性力的影响，使得模态变换矩阵的选取更为合理准确。

The LM Algorithm is used in parametric automatic optimization of the transformation matrix in Image Mosaic. After parametric automatic optimization of corresponding points, the transformation matrix is quickly got, and then the image mosaic is realized.

将LM算法应用于图像拼接过程中变换矩阵的参数自动优化中，通过对多个对应点的自动优化后，可以较快得到变换矩阵，从而实现图像拼接。

Then we apply it to a C-module V, where V is a n-dimensional vector space and the operator from C×V to V is defined by a linear transformation T of V, then we get a unique factorization of V and a right basis under which the transformation matrix of T is T's Jordan canonical form.

然后把它应用到一个具体的C-模V，其中V是n维线性空间，C×V到V的映射由V中的一个线性变换T定义，从而得到V的一个唯一分解，再结合线性代数有关知识给出V的一组基，T在这组基下的变换矩阵恰为T的Jordan标准形。

After defining the world transformation for the scene, you can prepare the projection transformation matrix.

在定义完场景的视口变换之后，你就可以准备投影变换矩阵了。

In this paper, the Mallat reconstruction algorithm of the wavelet transform modulus maxima is improved.

近年来，随着小波变换应用的迅猛发展，小波变换的重构问题也越来越被人们所关注。

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