| 1. | Convolution of generalized function
广义函数的卷积 |
| 2. | Analytical solutions of a generalized function equation in the theory of fluids
流体力学中一个广义函数方程解析解的存在性 |
| 3. | A survey concerned with the wavelet analysis ' s developing history , current situation of generalized functions and the research background of signal ' s arriving points is given
对小波分析的发展简史、广义函数的现状和瞬态信号参数检测的研究背景作出综述。 |
| 4. | Furthermore , in order to make a necessary foundation for further research , the relevant knowledge about wavelet analysis and generalized functions is introduced briefly
并简要介绍小波分析及广义函数的一些基本原理与相关知识，以此作为本课题研究的必备基础。 |
| 5. | On the basis of the classical valuation method of generalized functions , the set value of a generalized function has been defined by the equivalent value mode and the uniform convergence method
摘要在广义函数的经典赋值方法的基础上利用等价方式及一致收敛方法定义了一种广义函数的集值。 |
| 6. | And then based on the generalized function and distribution theory , it presents two corollaries that are relate to singularity detection and the wavelet transform modulus maxima line ( wtmml " s )
结合广义函数与分布理论，提出了两个用于描述瞬态信号波至点检测与小波变换模极大值曲线（ wtmml ' s ）之间关系的新推论。 |
| 7. | The physics meaning of these two corollaries is explained by virtual of the generalized functions " weak - convergence theory . there exist some disadvantages such as low measuring resolution and high calculating amount for multi - scale wavelet transform when the noise in signals is higher
与一般基于多尺度分解的小波变换的检测方法相比，这种新的函数检测函数可以在保证检测精度的同时，拓宽小波变换中用于信号检测的尺度范围。 |
| 8. | The algorithm ' s ideal is benint from the ideal of generalize projection technique and strongly subfeasible direction algorithm . it can be approximately describe as follows : firstly , by the introductin of a perturbed parameter / / , replace the complementarity constraints with a generalized function , then ( mpec ) can be reformulated equivalently nonlinear constraints programs . secondly . combine the ideal of strongly subfeasible direction algorithm and generalized projction tech - nique , we setup a generalized strongly subfeasible direction algorithm
本学位论文结合广义投影技术和强次可行方向法思想，建立一个新算法，该算法的主要思想大致可描述如下：首先引入一个趋向于0的参数，用一个互补函数代替性质不好的互补约束，将问题等价的转化为一般的非线性约束最优化问题，然后结合广义投影技术和强次可行方向法思想，建立一个广义强次可行方向算法 |
