查询词典 hilbert cube

Moreover, we introduce an auxiliary operator, and then by means of its spectral properties and theory of perturbations of bounded linear operators to prove that there is a sequence of generalized eigenvector system which forms a Riesz basis for Hilbert state space.

通过引入一个辅助算子，利用它的谱性质以及有界线性算子的扰动理论，得到系统的广义本征向量的完整性以及Riesz基性质。

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。

Based on it and after introducing suitable Hilbert space, the existence of global attractor of the moist atmosphere is obtained.

基于此，并引入适当的Hilbert空间之后，证明了湿大气全局吸引子的存在性，从而将在干空气中的结论推广到湿空气中。

With the chances from Cacau and Hilbert, we should have gone in front. Two goalkeeping errors then proved decisive - there's no way around that.

Cacau和Hilbert所创造的机会本应该使我们领先的，但是门将的两个失误证明了这根本不可能。

In chapter 2, we study a kind of operator algebra acted on the Hilbert space H which is called the closed weakly reducible maximal triangular algebra, denoted by S.

第二章我们研究了一个作用在Hilbert空间Η上的闭弱可约极大三角代数S，证明了S的系数在Β中的任意阶完全有界Hochschild上同调群H_~nS，Β(Η(n≥1)是平凡的。

States of a quantum systme are described by vectors of a Hilbert spance spanned by the eigenvectors of its Hamiltonian operator.

量子系统的状态用希尔伯特空间的矢量来描述，希尔伯特空间的距离与其哈密顿算符的本征值相联系。

Hilbet-type inequality is important in analysis and its applications. In recent years, by improving the way of weight coefficient, some research on the extensions and applications of this type of inequalities are developed. In this paper, we give a Hilbert infinite series inequality with the best constant factor whose kernel is a negative quadratic form by applying the method of weight coefficients. And an equivalent form is considered.

Hilbert型不等式在分析中有重要作用，近年来，由于改进权系数的方法，发展了这类不等式，并进一步推广应用和研究，应用权系数方法给出的一个带有最佳常数的核为负二次型齐次的Hibert型无穷级数不等式，同时考虑了它的等价形式。

The frame is a special Besselsequence, which extends the Parseval equality of orthonormal basis in Hilbert space tothe two-sided inequality in general sequence.

框架是一类特殊的Bessel序列，框架是把Hilbert空间中的规范正交基满足的Parseval等式推广到比较一般的序列所满足的双边不等式的结果。

On this base,we discuss a class of singular integral equation with Hilbert kernel having solutions with singularity of order one, the solvable conditions for general equation are given and solutions for responding characteristic eq...

在以上工作的基础之上，我们提出了一类不同于文献[13]的解具一阶奇性的Hilbert核奇异积分方程，给出了完全方程的Noether定理和特征方程的解和可解条件。

By introducing a weight function, a best extension of Hilbert integral inequlity and the reverse form are given. The constant factor of the two inequalities is proved to be the best.

引入单参数及估算权函数，给出一个核为－λ齐次的新的Hilbert型积分不等式及与之对应的逆向积分不等式，并证明这两个不等式的常数因子是最佳的。

Russia is now our largest trading partner and the Capitol of the US was moved to Omaha Nebraska.

俄国现在是我们的最大的贸易伙伴和美国的国会大厦被移动了向奥马哈内布拉斯加。

Rachel: I know, I know.

我知道，我知道。