查询词典 spectral theorem

The research of this thesis focuses on spectral complements of operator matrices, the Moore-Penrose inverse and Drazin inverse of projections in a C~*-algebra, Weyl theorem and infimum and generalized infimum of quantum effects on a Hilbert space.

本文研究内容涉及Hilbert空间中算子矩阵的谱补、C~*代数上投影算子的Drazin逆及Moore-Penrose逆、Banach空间上算子的Browder定理和Weyl定理、Hilbert空间中量子效应的下确界和广义下确界四个方面的内容。

The spectral mapping theorem about integrated semigroup is also obtained.

进而得到了 n次积分半群的谱映射定理。

Based on up_ and down_going wave decomposition and elastic wave power reciprocity theorem, this paper derives, in the lateral velocity varying case, linear prediction operators expression and the generalized spectral factorization equation for reflection dataset.

本文基于上下行波分解及弹性波互易定理，导出横向变速介质条件下线性预测算子的表达式和反射数据的广义谱分解方程。

Utilizing Sylvester's theorem and Fourier series expansion method, commonly used in the spectral decomposition for matrix, the frequency response functions of parametrically excited system were derived theoretically and the external resonance condition was obtained.

采用矩阵谱分解中常用的Sylvester理论和Fourier级数展开法，推导了单自由度参数振动系统的频响函数，并得到了系统外激励共振条件。

The spectral transfer function of the imaging spectrometer is defined on the basis of the linear system theorem.

根据光学传递函数理论，定义了光谱成像仪的光谱传递函数。

Expanding a monochromatic electromagnetic beam into the sum over a seriesof plane waves using the spectral representation technique derives the generalforms of the scattering formulae of a monochromatic electromagnetic beamincident on wire grids. The general forms of the scattering power formulae of amonochromatic electromagnetic beam by wire grids are presented by usingPoynting theorem.

应用平面波谱技术将单色电磁波展开成连续平面波序列，由平面波入射金属栅网的散射公式推导了单色电磁波通过金属栅网的散射场一般公式，并应用坡印亭定理推导其散射功率的一般表达形式。

In the second part,we gave the theorem of inhomogeneous spectral inclusion regions of partitioned matrices,so some relevant researches have been improved in this field.

第二部分给出了分块矩阵的非齐次谱包含域定理。从而把有关矩阵非齐次谱包含域的研究工作做了一定改进。

It is divided into three parts: In Part 1, based on mumerical simulations with the pseudo-spectral method, we introduced some new concepts such as the response speed of soliton interaction, the symbol correlation range, etc., and simplified the evolution problem of general soliton sequencies into the evolution problem of finite equivalent classes of words on a unoriented circle, and then gave out the count formula of the equivalent classes by Pó1ya theorem.

全文分三个部分：第一部分以利用拟谱方法所做的大量数值模拟为基础，分析光纤孤子通信系统中一般编码孤子序列的演化性质，提出孤子相互作用传递速度概念，通过考察通信系统的实际情况，引入码元关联长度K，把一般编码孤子序列的演化问题归结为无定向圆环上有限个不等价码字的演化问题，最后利用Pólya定理解决了不等价码字的计数问题。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。