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From the point of view of Hilbert space sets of measure 0 are negligible. 从希耳伯特空间的观点看来，测度为0的子集是可以省略的。
Let N be a nest on a Hilbert space H. and U be any weakly closed AlgN-module. 设N是Hilbert空间H中的一个套，u是任一弱闭AlgN-模。
New Approach for Fault Detection for Nonlinear System Based on Frame Theory of Hilbert Space. 一种非线性系统故障检测新方法。
In Level III they live on another quantum branch in infinite-dimensional Hilbert space. 而在第三个层次里，他们住在无限多维的希伯特空间里的另一个量子分支。
Existence of strong global attractors for nonclassical diffusion equations is considered in a stronger Hilbert space using the new semigroup approach. 利用半群方法证明了非经典反应扩散方程强全局吸引子的存在性.
A dimensional theorem and an isomorphic theorem for Hilbert space under the generalized continuum hypothesis (GCH) is given. 本文在广义连续统假设2=a+1(简记为GCH)下,给出Hilbert空间的维数定理和同构定理。
Optimal control for a class of the operator equation in a Hilbert space and with application On the Gontrol of the distributed parameter system. 希氏空间中一类算子方程的最佳控制及其在分布参数系统控制中的应用
The assertion is known as the closed graph theorem for Hilbert spaces. 这个断语被称为希耳伯特空间的闭图象定理。
The multi-directional and low-redundant wavelet with receptive fields properties of simple cells was constructed in 2D discrete Hilbert space. 在二维离散希尔伯特空间中构造了一种具有简单细胞感受野特性的多方向低冗余度小波。
We discuss at length the properties of a very important class of kernels which lead to the key notion of Reproducing Kernel Hilbert Space (RKHS). 我们将详细的讨论核心课程中十分重要的特质，其引导出再生核希尔伯特空间理论(RKHS)中一个非常关键的概念。
In this method, an atomic state wave function (ASF) is constructed by a linear combination of a series configuration state wave function (CSF) in N-electron Hilbert space. 在该方法中，原子态波函数(ASF)可以用一组N电子mibert空间中的组态波函数(CSFs)线性组合而构成。
We first provide the background to the concept of Hilbert space, introduce RKHS, and then clarify the relation between smoothness and a priori knowledge on the solution in RKHS. 因此我们首先需了解希伯特空间背景的基本观念，接著针对RKHS的解释说明平滑演算法和先验演算法之间的关系。
The soldier rigged up a shanty for a night's rest. 士兵们临时胡乱搭起了一间小屋过夜。
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。
John felt it hard to rig out his family. 约翰感到难以为一家大小置备衣着。
Let's try to rig up some sort of shelter. 让我们赶快搭个遮风挡雨的棚吧。
Focusing on finite dimensional Hilbert spaces, they discuss the statistical distance measures and entropies used in quantum theory. 集中于有限维希尔伯特空间，他们讨论统计距离测量和熵在量子理论内使用。
He rigged himself out as a peddler. 他装扮成一个小贩。
In the third chapter we start with the Poincare group and construct various unitary representations in suitable Hilbert spaces. 第三章我们从庞加莱群着手构造合适的希尔伯特空间的多种幺正表象。
No one know better how to rig an election. 没有人更知道如何操纵选举。