查询词典 spectral distribution

A efficient LU decomposition method is spectral factorization. That is, after the minimum phase correlative function of each array of matrix had be given by a spectral factorization method, all of the functions are arranged in a position according to its former location to get a lower triangular matrix.

谱法LU分解的优点是在对大量具有相同非零结构的矩阵分解时，通过建立包含所有具有不同非零元素的列对应的自相关函数的分解表，使得随后的所有矩阵分解只需通过查表实现。

The intensity of grating diffraction spectrum is obtained by the Fourier series expansion of the transmissivity function. Finally, the design feasibility is analyzed by comparing the minimum signal spectral intensity with the maximal spectral intensity of the background light and the noise intensity.

通过对透射率函数的傅立叶级数展开，得到光栅衍射谱线的强度，对信号光谱线的最小强度、背景光谱线的最大强度和噪声强度的比较，得到设计的可行性。

One of the important tasks in my dissertation is to investigate Fraunhofer diffraction pattern of a polychromatic, spatially coherent wave diffracted by an annular aperture. The phenomena of spectral anomalies in the vicinity of the Airy rings in Fraunhofer diffraction pattern are investigated in detail. The effect of the parameters of the annular aperture on the spectral changes is studied particularly.

本学位论文的一部分内容进一步研究了在夫琅和费衍射模型下，多色空间相干光经过环形光阑衍射后的光谱变化情况，详细讨论了在该模型下振幅为零的点附近的光谱奇异现象，着重研究了改变环形光阑参数等对光谱变化的影响。

The stability and convergence for spectral methods and spectral element methods are presented, with the aid of the knowledge of functional analysis and calculus and with the help of the theorem of Lax-Milagram, the stability and convergence for steady problems, evolution equations and Navier-Stokes Equations are analyzed in detail.

利用泛函分析和微积分的基本知识，运用Lax-Milagram定理等，从理论上比较详细地分析了谱方法和谱元方法在定常问题、非定常问题以及求解Navier-Stokes方程方面的稳定性和收敛性问题，得出了Navier-Stokes方程谱近似的稳定性条件和收敛性准则。

Further, with the help of Riccati equations, an infinite number of conservation laws for the solton hierarchy are deduced. For the sake of simplicity, taking the general TD hierarchy as an illustrative example, we prove that its 2×2 Lenard pair of operators forms a Hamiltonian pair. Thus the isospectral evolution TD hierarchy is the general Hamiltonian system and possesses the Bi-Hamiltonian structures and Multi-Hamiltonian structures. By using the method of derivation of functional under some constraint condition, a complete one-to-one correspondence between the Hamiltonian functions of the hierarchy and its conservation density functions can be built. These results can also be applied to the isospectral evolution soliton hierarchy of this paper. Finally, there's a gauge transformation between the spectral problem of this paper and the AKNS system. Moreover, the potentials in these spectral problems satisfy the general Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.

进一步本文还通过特征函数的组合关系所满足的Riccati方程，得到了该等谱方程族的无穷多个守恒律；为简便起见，本文以广义TD族为例，由它的2×2 Lenard算子对的性质证明了此算子对为Hamilton算子对，这说明广义TD族是广义Hamilton系统且具有Bi-Hamilton结构和Multi-Hamilton结构；进而利用它的依赖于谱参数的一般守恒密度的积分在约束条件下求泛函导数的方法，得到了广义TD族的Hamilton函数与守恒密度之间的对应关系，这些性质对于由本文提出的2×2谱问题所导出的等谱孤子族仍成立；另外此谱问题与AKNS系统存在着规范变换，位势之间有广义Miura变换，而孤子方程之间也满足一定的等价关系。

A geometric structure representation of images based on the angle between spectral coefficient vectors of Laplacian graph was proposed. Graph clustering of spectral features was also investigated.

提出一种用拉普拉斯图的谱系数夹角谱特征来描述图像几何结构的方法，同时研究了基于图的谱聚类系统。

The spectral element method, which combines the high-order precision of spectral methods and the geometrical flexibility of finite element methods, has achieved great success and is becoming a useful tool for investigation of such equations.

谱元法作为一种高阶的数值方法，结合了谱方法的高精度和有限元法灵活的网格剖分技术，在不可压流体的计算中已取得了很大的成功，并正成为计算随机微分方程的一个有力工具。

Considering that as the spectral resolution of hyperspectral images increases, its spectral correlation becomes more and more significant, a group of prediction coefficients are derived, which are able to make use of multi-band to predict the current band linearly. And then a fast algorithm is given to solve the coefficients of the predictor.

首先，充分考虑到随着高光谱图像谱间分辨率的提高，其谱间相关性也越来越强烈，推导出由多个波段对当前波段做线性预测的预测器系数，然后给出快速计算求解预测器系数的算法。

The axial direction and radial direction spectrum is blue-shift or red-shift. On axial direction, the blue-shift or red-shift increases with the relative propagation distance, truncation parameter, refractive index constant increases and temporal coherence length decreases, and the spectral-shift gurgitation becom gragually steady. On radial direction, spectral switches appear, and the truncation parameter, spatial coherence parameter, temporal coherence length and refractive index constant also influence critical position and transition height et al.

光谱沿轴向、径向均出现蓝移或红移，随着相对传输距离、光阑截断参数、空间相干参数及折射率结构常数的增大，脉冲时间相干长度的减小，轴向光谱蓝移量或红移量逐渐增大，并且由明显地起伏逐渐趋于稳定，沿径向出现了光谱开关，光阑截断参数、脉冲时间相干长度、空间相干参数和折射率结构常数对光谱开关的数目、光谱开关的临界位置和光谱跃迁量等也产生影响。

Starting from the polarization matrix and propagation equation of the cross-spectral density matrix, a detailed study of the influence of hard-edge aperture on the spectral switch of polychromatic vector Gaussian-Schell model beams is performed.

从偏振矩阵和交叉谱密度传输公式出发，分析了硬边光阑对多色矢量高斯－谢尔模型光束轴上光谱开关的影响。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。