查询词典 hilbert nullstellensatz

The simulation and test results show that the space-filling feature of Hilbert fractal structure antenna can be effectively transformed into the size-reducing feature, and that the RFID tag antenna with one-dimension Hilbert fractal structure is of higher efficiency.

仿真和实测结果表明，Hilbert分形结构天线的空间填充特性可有效转化为标签天线的尺寸缩减特性，而且一维Hilbert标签天线具有更高的天线效率。

In chapter 1, we introduce the notions of the approximately 2-local automorphisms, the approximately local Hilbert space representations and the approximately 2- local Hilbert space representations;We prove that every surjective and multiplicative approximately local *-automorphisms of a C*- algebra with a unique faithful tracial state is *-automorphisms;surjective approximately 2- local *- automorphisms of C*-algebra with unique faithful tracial states are Jordan *- automorphisms;Surjective approximately 2- local *- automorphisms of a finit factor are *-automorphisms;Approximately 2- local *- automorphisms of M_n are *-automorphisms.

第一章定义了近似2—局部自同构，近似局部表示，近似2—局部表示；证明了有唯一忠实迹态的C~*-代数上的满可乘近似局部*—自同构是*—自同构，满近似2—局部*—自同构是Jordan *—自同构，有限因子上的满近似2—局部*—自同构是*—自同构，以及矩阵代数M_n上的近似2—局部*—自同构是*—自同构。

They state that the state space of a system is a Hilbert space and the observables are Hermitian operators acting on that space, but do not tell us which Hilbert space or which operators.

它们规定系统的状态矢量空间是希耳伯特空间以及可见的是作用于空间的哈密特操作者，但是不告诉我们哪个是希耳伯特空间或哈密特操作者。

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。

In this thesis, we discuss some algorithms for giving the zeros of maximal monotone operator in a Hilbert space and the alternating direction method for the variational inequalities.

本论文主要讨论了求解Hilbert空间上极大单调算子的零点的数值算法以及有限维空间上的变分不等式的交替方向方法。

The conception of'physical wavelets'was first introduced by Gerald Kaiser, who had expended real signal to complex Hilbert space by analytic signal transform.

Gerald Kaiser首度提出了"物理小波"的概念，并通过解析信号变换将这一概念拓展到Hilbert空间。

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 tone in his voice brooked no argument .

；；；他的声音里透露着一种不容争辩的语调。

The income or capital gain made by a mutual fund that is paid to the fund's investors.

分配 互惠基金的收入或资本利得支付给基金投资人的动作称为分配。