正量

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。

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。

Its properties are different from those of orthonormal wavelet bases. It is then proven that the wavelet is a two-dimensional dyadic one.

基于图象的正则变换提出了一类快速边缘检测算法，其计算复杂性是线性量阶的，可以用于计算机视觉等实时处理。

In this paper, we first study the existence of positive solution and oscillation of neutral differential equation with...

第一章多滞量中立型时滞微分系统的正解存在性及振动性在这一章中，我们讨论中立型时滞微分方程

In order to improve the kinematics accuracy of parallel machine tool and to simplify error resource model (including 42 errors), a new kind of algorithm on parallel mechanism structural errors reorganization is proposed in this paper based on the fast algorithm of parallel mechanism forward displacement analysis.

为了提高并联机床的运动精度，针对简化误差源模型（含42个误差量），基于并联机构位置正解的快速算法提出了一种结构误差识别的新算法。

we use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by using these transforming formula we realize the change from Pauli matrices to Hubbard operators.

方法我们利用Hubbard算符的归一性和正交性给出了Hubbard算符和Pauli矩阵之间转化的运算公式，从而实现了哈密顿量表示方式的转化。

In this paper, on the basis of theoretical analysis, methods of range analysis and variance analysis are separately applied to the quantitative analysis of the relationship among gap voltage, peak current, workpiece thickness and cutting direction in the process.

本文在理论分析的基础上，采用正交试验设计，应用极差分析法和方差分析法定量研究了高速走丝电火花线切割加工中放电间隙电压量的变化特性与加工中峰值电流、工件厚度及切割方向之间的关系。

This paper describes the presence of hydrocarbon Subsfances in pressed peanut oils determined by gas chromatographic method,the main Component is pen-tane, the quantities of pentane are variable depending on the heat treatments to the oils.

本文叙述了用气相色谱法测定出机榨花生油中的烷烃类物质，其中最主要的成分为戊烷，戊烷的量随油脂受热程度的变化而变化，一般呈正变关系。这个方法是准确而可行的，有一定的工业应用价值。

The poorest countries in the world today tend to be experiencing falling output and per capita income due to rising population.

今天，世界上最贫穷的国家正因为人口增长而导致输出量和每头牲畜的收入下降。

Japan, meanwhile, is saying its industrial output plunged to a record 10 percent, a record 10 percent in January, another sign that the world's second largest economy is facing its worst economic recession since the end of World War II.

同时日本称其工业输出量降入10%。一月份的10%的记录是世界第二大经济正面临其自第二次世界大战后最严重的经济衰退的标志。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！