查询词典 hilbert nullstellensatz

In chapter 2, we study a kind of operator algebra acted on the Hilbert space H which is called the closed weakly reducible maximal triangular algebra, denoted by S.

第二章我们研究了一个作用在Hilbert空间Η上的闭弱可约极大三角代数S，证明了S的系数在Β中的任意阶完全有界Hochschild上同调群H_~nS，Β(Η(n≥1)是平凡的。

States of a quantum systme are described by vectors of a Hilbert spance spanned by the eigenvectors of its Hamiltonian operator.

量子系统的状态用希尔伯特空间的矢量来描述，希尔伯特空间的距离与其哈密顿算符的本征值相联系。

Hilbet-type inequality is important in analysis and its applications. In recent years, by improving the way of weight coefficient, some research on the extensions and applications of this type of inequalities are developed. In this paper, we give a Hilbert infinite series inequality with the best constant factor whose kernel is a negative quadratic form by applying the method of weight coefficients. And an equivalent form is considered.

Hilbert型不等式在分析中有重要作用，近年来，由于改进权系数的方法，发展了这类不等式，并进一步推广应用和研究，应用权系数方法给出的一个带有最佳常数的核为负二次型齐次的Hibert型无穷级数不等式，同时考虑了它的等价形式。

The frame is a special Besselsequence, which extends the Parseval equality of orthonormal basis in Hilbert space tothe two-sided inequality in general sequence.

框架是一类特殊的Bessel序列，框架是把Hilbert空间中的规范正交基满足的Parseval等式推广到比较一般的序列所满足的双边不等式的结果。

On this base,we discuss a class of singular integral equation with Hilbert kernel having solutions with singularity of order one, the solvable conditions for general equation are given and solutions for responding characteristic eq...

在以上工作的基础之上，我们提出了一类不同于文献[13]的解具一阶奇性的Hilbert核奇异积分方程，给出了完全方程的Noether定理和特征方程的解和可解条件。

By introducing a weight function, a best extension of Hilbert integral inequlity and the reverse form are given. The constant factor of the two inequalities is proved to be the best.

引入单参数及估算权函数，给出一个核为－λ齐次的新的Hilbert型积分不等式及与之对应的逆向积分不等式，并证明这两个不等式的常数因子是最佳的。

Then, we investigate iterative methods in Hilbert spaces for solving such problems in the second part.

本文在第二部分讨论了Hilbert空间中均衡问题的近似迭代解。

An improved method using two pairs of Hilbert filters can solve these problems.

基于2对相同Hilbert移相滤波器的改进方法能够解决这些问题。

In Chapter 6, we study a kind of system of nonlinear variational inequalities and its related auxiliary problems in real Hilbert space.

针对一类非线性变分不等式系统，我们研究了其相关辅助问题，建立了辅助问题解的存在性定理。

Nonlinear Riemann boundary value problems and nonlinear Hilbert boundary value problems will be studied in this paper, because they have been researched seldom.

对于非线性的Riemann边值问题和非线性的Hilbert边值问题研究很少，本文试图在这些方面做一些工作。

The train derailed 35 miles short of London, resulting in 35 deaths.

这辆火车在离伦敦35英里的地方出轨，导致35人死亡。

Ortega has raised eyebrows in Washington, which ...

奥尔特加提出了眉毛，在华盛顿，这。。。