查询词典 spectrum of a matrix

Objective To explore the effects on images from the space location of spectrum and scanning parameters,and summarize the technological essential and application hints.Methods 65 patients were scanned in brain with magnetic resonance spectroscopy,the location and the size of region of interesting and other scanning parameters values （FOV,frequency matrix,phase matrix,saturate cingulum,etc.） were changed intentionally,the values of full width at half maxium and water suppression lever were recorded.A preliminary evaluation of the resulted waves and the relationship between the parameters data and the quality of the MRS waves were probed.

目的 观察波谱空间定位和扫描参对图像质量的影响，并初步小结应用要点方法对65例头颅检查的受检者行磁共振波谱扫描，有目的地改变感兴趣区域的位置、小和其他参数设置（FOV、频率矩阵、相位矩阵、预饱和带等），记录预扫描后系统显示的半高宽、水抑制程度等数值，并对扫描后显示的图像质量进行初步评价，探讨些数值与波谱质量之间的关系。

We then diagonalize the matrix C and obtain the eigenvalue spectrum and eigenvectors. The large eigenvalues which go beyond the upper bound of the random matrix, i.e., the Wishart matrix, reflect the local correlations between stocks. The largest eigenvalue corresponds to the market mode, and next large eigenvalues represent the interactions between stocks in a same sector.

进一步，通过对角化，我们得到矩阵C的特征值谱和特征向量，超过随机的Wishart矩阵特征值谱上边界的特征值反映了股票间的局域关联，其中最大的特征值对应于市场模式，其余的次大特征值代表了同一板块内股票间的相互作用。

Based on the table of matrix element of spectrum decomposition, the Helmhotz matrix can be decomposed by recursion of the direct solution. A numerical comparison has been made with the spectrum LU decomposition and direct solution.

通过与谱法分解和直解法在分解精度和分解速度两方面的比较表明，本文方法与谱法相比，在非均匀介质中亥姆霍兹算子矩阵分解时的精度提高10倍；在计算速度方面，混合方法比简化后的直解法快。

This process needs to be done is to factor the function (-1) ^ multiplied by the input image to achieve the center of filter change, and also requires a real matrix multiplied by a complex matrix by calling the two images of the multiplication process to achieve multiplication of the corresponding elements, calculating the anti-Fourier transform at the same time, the result multiplied by (-1) ^ and check the final calculation of the Department of the spectrum in fact.

这个程序需要完成的功能是用因子（-1）^乘以输入图像以实现滤波的中心变换，并还要求用一个实矩阵乘以一个复数矩阵通过调用两个图像的乘法程序来实现对应元素的相乘，同时计算反傅立叶变换，得到的结果乘以（-1）^并取其实部最后计算频谱。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

A important result is the one-order expression of AR Yt = DYt-1 + E, from paralleling a high-order differential equation transformation into a one-order differential equation system, the one-order expression exposes that the AR is only a certain more-multivariable power series processAnd, if a process is described as an AR, the sufficient and necessary condition is the spectrum norm A of the coefficient matrix D less than one.

作者用高阶微分方程化一阶微分方程组的方法，获得多元弱平稳序列p阶自回归模型的一步滑动平均表达式，证明了AR的是一个更高维的幂级数的线性过程，从而，说明了AR关于序列依概率成立的充要条件是：该模型更高维的幂级数的线性过程的表达式中系数矩阵D的谱范数λ＜1。

By studying the spectrum properties of coefficient matrix and the regular parameters at the iterative procedure of the first class regular method , we assign a uniform parameter for the inner iteration . Simulation results show that this method for choosing regular parameter is correct and the outer iterate convergence for high contrast object.

这两种方法的正则化效果取决于迭代的次数，我们通过对静态正则化方法中逆散射方程系数矩阵的谱特性、正则化参数等进行分析，对这类迭代正则化方法选取了统一的正则化参数，使得外部迭代方法收敛。

In allusion to the energy-concentrated property of LFM signal in the fractional Fourier domain, the data model of array matrix is constructed by the algorithm and the decorrelation ability is obtained by establishing a new Toeplitz matrix. After performing a spectrum peak research, DOA estimation of coherent wideband LFM signals is obtained.

针对分数阶傅里叶交换的谱峰聚集特点，该算法构造了分数阶傅里叶域的宽带LFM信号的阵列数据模型，在FRF域内利用Toeplitz矩阵重构特性，实现对相干信号的解相干，最后通过谱峰搜索完成入射信号的DOA估计。

The transmission spectrum of long period grating was analized by a combination of coupled mode theory and transfer matrix method.

用耦合模方法和传输矩阵法相结合对长周期光栅的传输光谱特性进行了研究，提出了用相移长周期光栅使双峰的增益谱线平坦化。

Discussed element of the matrix in alloy of nickel radical high temperature through the experiment, advocate quantity element if the chromium, cobalt, tungsten, molybdenum, Tantalum, niobium, rhenium spectrum to spectral line of boracic ultimate analysis violates a condition, use matrix to match a law to undertake to matrix interference corrective, fixed appropriate analytic spectral line.

通过试验探索了镍基高温合金中基体元素，主量元素如铬、钴、钨、钼、钽、铌、铼等对硼元素分析谱线的光谱干扰情况，采用基体匹配法对基体干扰进行校正，确定了合适的分析谱线。

Means the parent directory, so this command means to execute "toolchain.sh," which is in the current directory.

代表父目录，所以这个命令就是执行当前目录下的"toolchain.sh"。

Yes,In fact,I'm on our city ream.

是的。事实上我是我们市队的。