查询词典 Hilbert

The Morlet wavelet is the complex-exponential function with gauss function wave. Making use of the imaginary part being the Hilbert transform of the real part and the frequency character of "bell shape", this paper presented the Morlet combined wavelet filtering method.

Morlet小波是高斯包络下的复指数函数，利用其虚部是实部的Hilbert变换，频域波形为钟形的特征，提出了基于Morlet组合小波的滤波方法。

In addition to his lawyer, Mr. Hilbert has enlisted the help of a consultant who used to work for the Chinese government and a bevy of friends and former customers.

除了他的律师，希尔伯特还寻求了许多人的帮助，其中有一位曾经供职于政府部门的顾问，还有一大群朋友和老顾客。

This method is based on the work of reference [1]. By using the Riesz present theory in Hilbert space, we first transform the iterative procedure of variational inequalities into a fixed point form. Then, using the Schauder fixed point theory, we construct a numerical verification method with high efficiency that through numerical computation generates a bounded, closed, convex set in which the approximate solution is included.

通过Hilbert空间中的Riesz表示定理，首先将变分不等式问题的迭代过程转化为一种不动点形式，再利用Schauder不动点定理构造了一个高效率的数值证明过程，即通过数值计算产生一个包含近似解的有界闭凸子集。

In the bounded linear operator approximation theory of Hilbert Space,the isolate point of operator essential spectrum is always a problem. In this paper,a general method to treat this problem is given.

孙辉在Hilbert空间线性算子逼近论中，算子本质谱的孤立点通常是处理一些问题的主要障碍之一，本文给出处理算子本质谱的孤立点的一般方法。

It is to ask whether every bounded linear operator on a separable Hilbert space has a nontrivial invariant subspace and it can be reduced to the case of diagonal operator.

不变子空间问题是一个引人瞩目的公开问题，它是说在一个可分的Hilbert空间上是否每一个有界线性算子都存在非平凡的不变子空间？

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。

This matter overthrew all basises I learned from Sunday school .

这件事把我从周日学校学到的所有道理都颠覆了。

It's one of the cruel ironies of aging: if you want to remember your favorite restaurants, the less you should eat at them.

这是一个老化的残酷讽刺：如果你想记住你最喜欢的餐馆，你应该更少吃到它们。