查询词典 orthonormal basis

Secondly, it is proved that the "folded"orthonormal wavelet basis satisfies the boundary condition of the equation.

其次， 证明Littlewood-paley 折叠小波基满足该微分方程的边值条件。

We give left and right prediction of jump detection on basis of orthonormal polynomial. In theory analysis, we first give some theorems, then to proof the approximation, which is in a jump point detection by nonlinear prediction, can arrive one to number of samples. This result is considerable well. In the meantime, we study the approximate theory of measurement of jump point.

在理论分析中，我们首先给出了几个引理，然后证明了非线性预测法在检测单个突变点的逼近程度达到样本数的分之一，这样的结果是比较好的。

Through the "folded"transform, the "folded"orthonormal wavelet basis for the space L2 [0,1] is got.

对于L 2上的Littlewood-paley 正交小波基进行"折叠"映射，使得折叠小波基为L 2[0，1]的标准正交基。

The main points of this thesis are as follows: It is presented that the key issue to constructing of the orthonormal wavelet on the basis of multiresolution analysis theory is to design the wavelet bases which can be used to decompose the signal into a two-band form, while the construction of wavelet bases is equivalent to designing a filter bank with perfect or nearly perfect property restricted by regularity.

论文工作在以下几个方面取得了进展：提出用多尺度分析理论构造正交小波，最终可归结为构造能进行两带分解的小波基，而小波基的构造又等价于在附加正则性条件约束下，设计一个完全恢复和近似完全恢复的滤波器组。

The practical employment of multidimensional wavelet is only limited to tensor product wavelet. To construct a tensor product orthonormal wavelet basis in L〓, 2〓-1 different mother wavelets are used, and thus storing and computing wavelet basis of large dimension are of prohibitive cost.

根据Meyer的小波基存在性定理，利用张量积方法构造L〓的一个规范正交小波基，需要2〓-1个不同的函数，存储和计算方面的开销太大，在实时应用方面尚有很大的局限性。

PHGL implies atomic wavefunction isexpanded in the two orthonormal complete basis sets.

在超球谐方法的基础上发展起来的势谐方法较好地解决了这一问题。

The distinguishing feature is a clear physical conception. HIFNC-Ⅱ is an orthonormal basis neural network model. The neurons' output nonlinear function in the hidden layer is an orthogonal system of polynomial, which optimizes the configuration of the neural network.

在智能控制理论方面，详细剖析了一种仿人智能控制器，证明了广义频率函数与非线性系统描述函数的关系，并将其应用于仿人智能控制器的稳定性分析，在理论上证明了HIC的鲁棒特性。

Phase screen which has same statistics as turbulence-induced atmospheric phase (vonKarman and Kolmogorov spectrum) will be generated by covariance method using pulse function as an orthonormal basis function.

提出正交基为冲激函数的协方差法，在Matlab中仿真实现符合大气湍流统计分布（vonKarman谱和Kolmogorov谱）的大气相位屏。

Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.

首先，构造二维张量积空间，并证明该空间具有再生核；其次在再生核空间中，建立多尺度分析，获得该空间的一个标准正交基，使得再生核空间可以由小波空间来刻画，进而得到小波级数和相应的采样公式，而且给出的小波级数形式简单易于数值分析，进一步完善了有限区间上的多尺度分析方法，也为实际应用提供了良好的理论基础和算法。

Pulse-coupled neural nework;the orthonormal basis;segmented image coding;Schmedit orthonormalization

脉冲耦合神经网络；正交基；分割图像编码；施密特正交化

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。