查询词典 Hilbert

Let 〓 be two Hilbert spaces over the same field,and let T:〓a bounded linear operator with closed range.

在1.4中，我们在最一般条件假设下，给出了Hilbert空间上线性有界算子及其最小二乘解的误差分析，从而完整地解决了Hilbert空间算子的扰动理论。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

Hilbert space and generalized Fourier series in Hilbert space,etc.

Hilbert空间与广义Fourier级数，主要讲授内积空间内积空间中的正交系，投景定理，与广义Fourier级数。

It defines the vector norms as satisfaction function to revise the weighting factors of metrics given by analytic hierarchy process. Meanwhile, the scheme exploits vector geometrical relationships in Hilbert sub-space basing on revised weights to measure similarities between vectors of network ability and user target.

该算法定义Hilbert空间中的向量范数表征满意函数，以修正由层次分析法给出的各指标权重因子；并利用基于修正权重因子的Hilbert子空间中向量间的几何关系，衡量网络参考向量与用户目标向量间的相似性，选择与用户需求最匹配的网络。

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。

And if H is an infinite dimensional Hilbert space, it is an inner derivation; Finally we get the same results when the nest is non-trivial.

首先证明了作用在Hilbert空间上的B上的r-Jordan可导映射是一个可加导子，并且当Hilbert空间是无限维时，它是一个内导子；最后在N≠{{0}，H}的情况下得到了相同的结论。

The different width and length of Hilbert curve geometries were investigated by finite element method. The computation results show that the DGS rejects the signal at two frequencies 2.43 GHz and 7.11 GHz from 0~9 GHz with more than -15 dB suppression. Q factors of the Hilbert curve DGS is bigger than that of conventional DGS.

通过有限元法对不同Hilbert曲线宽度和长度的DGS结构微带线进行计算，计算结果表明，该结构在0~9 GHz频段内表现出2.43 GHz和7.11 GHz这2个谐振频率，对应频率的通带反射损耗低于-15 dB，并且阻带特性在谐振频率处比传统DGS微带线有更高的 Q 值。

In this thesis,the main problem investigated is the relationship between Hilbert spaceH which {ei}ni=1 let be an orthonormal basis and the kernel by making use of the properties of the kernel of H.

笔者主要研究了以{ei}in=1为正交基的再生核Hilbert空间H中的核函数的一些性质，并通过这些性质简要的描述了Hilbert空间H与它的核函数之间的关系。

The Hilbert modulus is defined as the sum of the square of a signal and its conjugation.Hilbert modulus is used to covert the fundamental component in original phase current to direct current component,the fault characteristics frequency of bar break is transformed into the twice slip frequency.The problem is solved that fault characteristic component in the spectrum analysis of the current is easily to be blanketed by fundamental component and is hard to highlight fault characteristics.

将Hilbert模量定义为原始信号与其共轭信号的平方和，利用Hilbert模量将原相电流中的基波分量转变为直流分量，原频谱分析的转绕组断条的故障特征分量转变为频率为二倍转差频率的电流分量，决了相电流频谱分析方法中断条故障特征成分容易被基波湮没而难以突出故障特征的问题。

The simulation and test results show that the space-filling feature of Hilbert fractal structure antenna can be effectively transformed into the size-reducing feature, and that the RFID tag antenna with one-dimension Hilbert fractal structure is of higher efficiency.

仿真和实测结果表明，Hilbert分形结构天线的空间填充特性可有效转化为标签天线的尺寸缩减特性，而且一维Hilbert标签天线具有更高的天线效率。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。