查询词典 hilbert space

After deduced that the moist atmospheric equations in Hilbert space is a very special operator equation, the existence theorems of the gloal absorbing set and the global attractor are obtained by use of the properties of operators, and the property that the asymptotic behavior of solutions shows itself on the structure of attractor and the nonlinear adjustment to the diabatic heating ...

最后指出了几个简化方程组与原方程组在解的长期行为上的根本不同，从而给出长期天气或气候研究中简化方程组必须遵循的原则。

How to establish the adjoint medel is discussed by using the Gateaux differential of function and the concepts of the adjoint operators in Hibert space. At the same time it is verified that selecting proper finite difference scheme can ensure discrete form remaining the same adjoint r...

文中利用泛函的Gateaux微分和Hilbert空间上伴随算子的概念讨论了连续的伴随模型的建立，并通过选择适当的差分格式离散伴随模型，使其保持连续时的伴随关系，同时给出了水温初始场最优化过程及相应的同化试验数值结果。

In the second chapter, we study the concepts of resolvent operator associated with-monotone operators in Hilbert space.

第三章，我们在Banach空间中引进一类H-增生算子，并给出了一类新的-增生算子的概念。

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。

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。

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？

We constructed a Hubert space H in which the element is continuous function and a operator T: H→H.

构造－Hilbert空间H，其中的元素是具有周期性的连续函数。

Secondly, it is proved that the solution space of second-order wave equations can form the reproducing kernel Hilbert space H 1 0,+∞.

其次，证明了二阶波动方程的解空间构成再生核空间H 1 0，+∞。

A three solutions theorem of nonlinear operator equation in Hilbert space was given by Sun Jing-xian in 1983,in this paper,the theorem was expanded to general Banach space by using gradient method ,and some conditions was weakened,such as the local Lipschitz condition s transformation to the bounded character of F and so on.

依据H ilbert空间中非线性算子方程的一个三解定理，本文运用最速下降法将这个定理推广到了一般的Banach空间，并且减弱了原定理的某些条件，如将局部Lipschitz条件减弱为F的有界性等

In this thesis, it is the main problem to investigate that the numerical solution and solution space of the different differential equations by making use of the theory of the Wavelet-Galerkin method and the reproducing kernel Hilbert space, respectly.

本文分别应用小波分析理论和再生核理论对微分方程的求解和解空间的问题进行了研究。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失