查询词典 hilbert cube

Besides,we investigate the compatibility of the pair,where A is a bounded linear self-adjoint operator on a complex Hilbert space H and S is a closed subspace of H.

此外，对由一个自伴算子A和一个闭子空间S组成的元素对的兼容性进行了研究。

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。

Assignment of infinite many poles for the first order generalized distributed parameter control system, coupled with the first order generalized lumped parameter control system, is discussed in Hilbert space with functional analysis and operator theory. The solutions with the constructive expression are given by the generalized inverse one of bounded linear operator.

应用泛函分析算子理论的方法，讨论了Hilbert空间中一阶广义分布参数控制系统与一阶广义集中参数控制系统所构成的一阶耦合广义控制系统的无限多极点配置问题，利用有界线性算子的广义逆给出了问题的解及解的构造性表达式。

Note that, since these operators commute with the particle number operator., the 2 × 2 = 4-dimensional Hilbert space has a 2-dimensional subspace,, in which a canonical spin representation is realized.

注意，由于这些算符与粒子数算符对易，2× 2 = 4 维的Hilbert空间有一个2维的子空间，其中有一个正则自旋表象。

Three altimeter data——Geosat/GM, ERS-1/35day and Topex/Poseidon, and two gravity recovery methods —— inverse Stokes formula with 2DFFT and along-track vertical deflection with 1D Hilbert Transform, are used in this section. The second method is developed independently by author on the basis of the Laplace's equation in Cartesian system.

主要利用三颗卫星测高数据——Geosat/GM、ERS-1和Topex/Poseidon，采用了两种不同的重力异常恢复技术——Stokes公式逆运算+FFT处理和改进后的沿轨迹垂线偏差恢复法，构造了两个区域大小不同、分辨率不同(30'×30'和2'×2')但精度大体相同(10mGal)的重力异常——IGG97和IGG99S。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

In Chapter 4, on the basis of introducing the theory of linear operator semigroup and the Cauchy problem in Hilbert space, this dissertation has researched the method on solving solution of distributed parameter system, and the model estimation and optimal control of the nonlinear distributed parameter system.

本文第四章在介绍线性算子半群理论及希尔伯特空间中的柯西问题的基础上，研究了分布参数系统的近似解求解方法，一类非线性分布参数系统的模型辩识和最优控制等问题。

This paper use Mirror closed extension to solve the problem of end effect. Mirror closed extension maps the signal into a periodic signal of the ring through the mirror image method, and there is no endpoint, and fundamentally avoids the end effects of EMD and Hilbert transform.

针对这一。。。更多问题，本文利用镜像闭合端点延拓来抑制端点效应，闭合端点延拓法即用镜像法把镜内信号映射成一个周期性的环行信号，不存在端点，从根本上避免了EMD和Hilbert变换的端点效应。

The assertion is known as the closed graph theorem for Hilbert spaces.

这个断语被称为希耳伯特空间的闭图象定理。

So you want to show that a finite rank operator A on a Hilbert space is : compact?

三角函数全体在C上稠密，这个是如何证明的？

I think the consumer mentality is the most important.

我认为消费者的心理是最重要的。

Does your decision to re-sign demonstrate your belief that this club is moving forward?

利物浦官方网站：你续约的决定是否代表你信任球会正往前迈进中？