查询词典 hilbert cube

Comparing EMD method with traditional FFT method in the analytical process, Hilbert-Huang transformation is found to be superior in performance. Structural response of the warship subjected to underwater explosion is simulated numerically, and EMD method is applied to analyzing the structural impulse signals.

该方法不把信号分解成正弦或余弦函数，因此既能分析线性稳态信号又可用于非线性非平稳信号的分析，且避免了高频干扰结果的出现，被认为是近年来对以Fourier变换为基础的线性和稳态谱分析的一个重大突破。

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。

By using nonconforming element and Bramble-Hilbert-Xu Lemma, Laplace approximating eigenvalue is given by the means of asymptotic expansion and the main error terms are presented ,too.

利用Bramble Hilbert Xu引理对Laplace特征值用一个非协调元作对称展开，给出该单元在研究Laplace特征值问题时的误差主项，并进一步给出外推结果，最后给出数值验证。

This particular formula involves a special function,which is the uniformly bounded solution to a scalar Riemann-Hilbert problem,and which is asymptotically equal to the constant "1" except at the origin.

这个特殊的公式包含了一个特殊函数，这个特殊函数实际上是一个一维Riemann-Hilbert问题的一致有界的解，并且除了在原点，它的取值都渐近地等于常数"1"。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

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？

In fact, today, to give your mother a birthday gift is that it --- Durian.

其实，今天妈妈要送给你的生日礼物就是它———榴莲。

And now it's you two murderers. Bring it to me.

结果是你们这两个杀人犯交给我