查询词典 spectral characteristic

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。

The method comprises the following steps of : respectively constructing models of residual images of a multi-spectral image and a panchromatic image by using hypercomplex, and respectively subjecting the hypercomplex residual models of the multi-spectral image to hypercomplex symplectic decomposition along the grayscale axis direction to obtain a simplex portion containing brightness information and a perplex portion including chromaticity information.

该方法首先用超复数分别对多光谱图像和全色图像的残差图像建模，并对多光谱图像的超复数残差模型沿灰度轴方向分别进行超复数symplectic分解，得到包含亮度信息的simplex部分和包含色度信息的perplex部分。

Firstly, applying spectral factorization to minimize an integral square performance criterion containing tracking error and control energy, an optimal control law for the nominal model is derived on condition of control energy constraint. Then, for model uncertainty, using spectral factorization to minimize the variance of the actual system performance from the nominal performance over all frequency range, a robust controller design method is abtained, which has optimal robustness of the system nominal performance to model errors.

首先针对控制对象的标称模型应用谱分解最小化一个包含跟踪误差和控制能量在内的积分平方性能指标，导出一个控制能量约束条件下的最优控制律；然后再针对模型不确定性应用谱分解最小化实际系统性能和标称性能在整个频段上的方差，得到一个鲁棒控制器的设计方法，可使系统的标称性能对模型误差具有最优的鲁棒性。

This retrospective study included three medical institutes and fifty-nine patients of Alzheimer's disease. Based on spectral analysis, we calculated and presented spectral profile、power ratio、interhemispheric alpha coherence and intrahemispheric alpha coherence of individual EEG.

本研究收集三个专科医疗机构、59 位阿兹海默病患的数位脑波资料，利用频谱分析计算并呈现 spectral profile、power ratio、interhemispheric alpha coherence 和 intrahemispheric alpha coherence 等指标。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。