查询词典 hilbert space

On the basis of least potential energy theory the stability and convergence are analyzed and discussed in Hilbert space, and the basic condition ensuring uniqueness and convergence of solution is given.

在Hilbert空间内，从最小势能原理出发对非协调数值流形方法的稳定性和收敛性进行了分析和讨论，得到了保证非协调流形元解唯一存在和收敛的基本条件，完善了非协调数值流形方法的理论基础。

In this paper, a new strategy to store certificates is put forward by using two-dimensional certificate information and Hilbert space filling curve.

提出了利用许可证的发布者和主体两维信息，采用分布哈希表和Hilbert曲线对许可证进行分布定位的新的许可证存储策略。

In the chapter 7, by virtue of Ky Fan's results in operator spectral theory, we convert several meaningful conclustions in the theory of Holomorphic fucntions into the corresponding results of operator functions in Hilbert space.

在第7章中，我们应用算子谱集理论中的Ky Fan关于Von Neauman不等式的一个结果，把解析函数论中一些有意义的结论转化到Hilbert空间的算子函数上来建立相应的结果。

And then characterize the Jordan semi-triple derivable maps on the set of all linear bounded operators actingn on an infinite dimensional Hilbert space, then prove that it is additive and so is an inner derivation.

并且对作用在无限维Hilbert空间上的有界线性算子的全体上的拟三重Jordan可导映射进行了刻画，证明了它是一个内导子。

Reproducing kernel Hilbert space ; inner product ; orthonormal basis

再生核Hilbert空间；内积；正交基

In this paper,the new Theorems are presented to prove some sufficient and necessary condition of Ishikawa iterative sequence with error member for Lipschitz hemi-contraction mapping in Hilbert space converging to the fixed point.

本文给出了Hilbert空间上的Lipschitz半压缩映像的具有误差项的Ishikawa迭代序列收敛于不动点的充分必要条件。

The new methodof defining spline function will generalize the concept to the more universal Hilbert space. Hence, we take into consideration the interpolation spline function, general linear differential operater in semi- open interval and the Green function defined accordingly, and the reproducing kernel to produce the Green function and prove the existence of the reproducing kernel.

采用了一种新的样条函数的定义方法，把样条函数的概念推广到更一般的Hilbert空间上，再考虑半开闭区间a，+∞上的插值样条函数，一般线性微分算子及其定义的Green函数和再生核，构造出Green函数并且证明了再生核的存在性。

Dimension has gone through stages of being any natural number n , possibly infinite with the introduction of Hilbert space , and any positive real number in fractal geometry .

维经历阶段被任何自然数N ，可能是无限的引入Hilbert空间，和任何积极的实际人数在分形几何。

Besides the existence, this essay also draws the conclusion that the optimal income tax function is lowers semicontinuous on a closed subset of the Hilbert space.

除了存在性，本文还得出了最优收入税函数在Hilbert空间的一个闭子集上是下半连续的结论。

This paper mainly deals with invariant subspaces and cyclic vectors of certain diagonal operators on a separable Hilbert space. In this case, a complete characterization is given.

考虑一般对角算子的不变子空间是非常困难的，本文主要研究Hilbert空间上一类对角算子的不变子空间和循环向量，给出了这类算子不变子空间和循环向量的完整刻画。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。