希尔伯特空间

在希尔伯特空间中，通过应用分析信号法和高斯滤波法，我们分析了N台激光系统中相邻激光之间的位相同步。

By virtue of the analytic signal and the Gaussian filter methods in the Hilbert space , we analyze the phase synchronization of the nearest lasers .

将二次互信息（mutualinformation）用作模式分类问题中特征选择的准则，分析了该准则在再生核希尔伯特空间中的几何意义。

Quadratic mutual information was used as the criterion for feature variable selection in pattern recognition problems , and the geometric meaning of QMI criterion in the reproducing kernel Hilbert space was analyzed .

希尔伯特空间方法下的CAPM

CAPM under the stochastic vector Hilbert space

希尔伯特空间下的Clifford代数及M（？）bius变换

Clifford Algebra and M (?) bius Transformation on Hilbert Space

在分析了层次分析法（AHP）、模糊评判法等评价方法的基础上，笔者提出了基于希尔伯特空间向量范数的铁路机务安全评价模型。

On the basis of the defect analysis of evaluation methods such as AHP and fuzzy judgment method , a new safety evaluation model for locomotive safety base on the vector norms in Hilbert space is put forward .

放松希尔伯特空间中D-F-P算法一维寻优精度的研究

An Investigation for Relaxing the Precision of One-dimensional Optimization of D-F-P Method in Hilbert Space

我们将详细的讨论核心课程中十分重要的特质，其引导出再生核希尔伯特空间理论（RKHS）中一个非常关键的概念。

We discuss at length the properties of a very important class of kernels which lead to the key notion of Reproducing Kernel Hilbert Space ( RKHS ) .

andM.Rothschild首次将希尔伯特空间理论用于证券资本市场研究，本文追寻这一思路，用数学条件表述证券市场特征，引入随机变量希尔伯特空间，给出著名CAPM模型的形式化推导。

And M.Rothschild first applied Hilbert space approach studying capital securities market in 1983.This paper expresses mathematic form of securities behavior , derives stochastic vector Hilbert space and proves asset pricing model ( CAPM ) under Hilbert space approach .

YEH-WIENER过程的希尔伯特空间再生核

The Reproducing Kernel of Hilbert Space of YEH - WIENER Process

希尔伯特空间有限区域成像积分算子的谱

Spectrum of imaging integral operator of finite domain in the Hilbert space

基于希尔伯特空间向量范数的铁路机务安全评价模型研究

Study on Locomotive Safety Evaluation Model Based on Vector Norms in Hilbert Space

希尔伯特空间中的概率流和概率守恒

Probability currents and conservation of probability in Hilbert space

本文的附录A中，再生核对希尔伯特空间理论有非常贴切的介绍。

In Appendix A of this paper you find a smooth introduction to RKHS .

希尔伯特空间的极坐标表象与轨道角动量表象

Polar Coordinate and Orbital Angular Momentum Presentations

关于希尔伯特空间的特徵性质

On a characterization of Hilbert Spaces

希尔伯特空间的维数

Dimension of Hilbert space

希尔伯特空间的缀合

Conjugation on Hilbert space

在希尔伯特空间中，对于由这种算法产生的序列，我们得到一些强收敛定理和弱收敛定理。

We obtain some weak and strong convergence theorems for the sequences generated by these processes in Hilbert spaces .

N维希尔伯特空间三态叠加多模纠缠态光场的差压缩特性

The multimode entangled state light field via superpositions of three states in N-dimensional Hilbert space and their difference squeezing properties

希尔伯特空间可以用于严密地定义量子力学，并进行清晰的公理化逻辑推导。

Hilbert space could be used to define a rigorous theory of quantum mechanics , proceeding logically from clear-cut axioms .

在希尔伯特空间中，我们设计了求解这类带约束的单目标凸优化问题的一种算法。

As applications , we propose an algorithm for convex optimization problems with cone constraints in the Hilbert space setting .

第三章我们从庞加莱群着手构造合适的希尔伯特空间的多种幺正表象。

In the third chapter we start with the Poincare group and construct various unitary representations in suitable Hilbert spaces .

文章应用泛函分析理论，构造了随机向量希尔伯特空间，在一定的理论准备下，论证了马科维茨组合选择理论中有效前沿的存在。

Using functional analysis theory , this paper proves the existence of the portfolio effective frontier under random vector Hilbert space .

希尔伯特空间中关于广义均衡问题和有限组非扩张映像的不动点的强收敛定理

Strong Convergence Theorem for a Generalized Equilibrium Problem and Fixed Points of a Finite Family of Nonexpansive Mappings in A Hilbert Space

我们提出了在三维希尔伯特空间中，以非最大纠缠态为纠缠资源，几率地实现非局域量子操作的方案。

We put forward the scheme that probabilistic realizing nonlocal quantum operation with non-maximally entangled state as entanglement resource in 3-dimensional Hilbert space .

在有限维希尔伯特空间中构造了非简谐振子的广义相干态，并研究了其量子统计特性。

Generalized coherent states of a non harmonic oscillator in a finite dimensional Hilbert space are constructed and some quantum statistical properties are studied .

本文主要介绍希尔伯特空间的另两组基矢：极坐标表象和轨道角动量表象以及该二表象间的变换。

This paper mainly introduces the polar coordinate presentation and the orbital angular momentum presentation in Hilbert space and the mathematical transformation between them .

提出了基于希尔伯特空间向量范数的应急物流保障能力评价模型。

Based on Analytical Hierarchy Process ( AHP ) and Hilbert space , a model for evaluating the warrant for emergency logistics is put forward .

讨论描述希尔伯特空间最终范数连续半群特征的一个算子方程的解，给出这个解的一个显式表达式。

A new perturbation result on the Hilbert space for the eventually norm-continuous semigroups is obtained , which makes the perturbation of the semigroups more abundant .

希尔伯特空间这种意外的应用，正支持了艾伦对纯数学的看法。

The unforeseen application of ' Hilbert space " was just the kind of thing that Alan would produce to support his claim for pure mathematics .