查询词典 hilbert nullstellensatz

The orthogonality and completeness of the eigenfunctions are proved according to certain theories of Hilbert space.

借助Hilbert空间的理论证明了特征函数的正交性与完备性。

Where is the state valued in a Hilbert space , is a

在此论文中，我们也将考虑关于的其它一些相关问题，诸如，能观性，唯一延拓性质，等等。

The proposed approach was based on the re-organization innovation methods and projection theory in Hilbert space.

基于新息重组分析理论和Hilbert空间的正交投影定理，提出了一种简便有效的新方法。

It not only explores a novel application of the reproducing kernel Hilbert space theory, but also provides a new view on solving the differential equation.

本文的研究拓宽了再生核理论的适用范围，为波动方程的求解问题提供了新的框架。

In Chapter 2, we study Isosceles orthogonality and Pythagorean orthogonality, which are natural extensions of orthogonality in Hilbert space.

首先给出Isosceles正交性的性质，揭示了这种正交性与等距算子的密切联系。

The sufficient condition of stochastic delay population system with diffusion is obtained in Hilbert space.

利用Ito公式和Burkholder-Davis-Gandy定理及Gronwall-Bellman不等式，通过构造一个有界的柯西列，给出了Hilbert空间中随机时滞种群扩散系统解的存在性和唯一性的充分条件，文章所得到的结论是目前现有结果的推广。

In the reproducing kernel hilbert space, It proved one-one mapping between positive regularization operator and kernel function.

本文在重构核希尔伯特空间中论述了正规化理论与核方法的一一对应关系。

We also introduce and study a new system generalized nonlinear variational inclusions for fuzzy mappings in Hilbert space.

我们利用极大单调映象的预解算子技巧，建立了这类模糊映象的变分包含组与非线性集值映象的不动点问题之间的等价关系，再利用Nadler的不动点定理给出了这类变分包含组的解的存在性定理。

In this paper, based on Delta Operator, signal vectors of Hilbert space are constructed, an input-output model is derived, and both the forward and backward prediction error vectors are described.

摘要本文基于δ算子构造了Hilbert空间中的信号向量，推导了系统的输入输出关系，得出了前向和后向预测误差向量的表达式。

The notion of a complete random inner product module is a random generalization of that of a Hilbert space.

完备随机内积模是Hilbert 空间的随机推广。

More important, these potent berries have been used as a medicinal food in Tibet for over 1700 years.

更重要的是，这种浆果在西藏当药用了1700多年。

Ingestion of contaminated water is not the only water-quality problem .

饮用被污染了的水不是唯一的水质量问题。