The generalized reflection-transmission coefficient matrix method for synthetic seismograms;

Making the calculation of generalized reflection-transmission coefficients dimensionless

The duality property of several kinds of generalized functions;

This article using AHP to determine the weighting of index,using generalized function to nondimensionalize the value of index,then calcalute the systematic evaluation index.

First, by comparing with the definition of ordinary function, the definition of the general function and the equality of two generalized functions are introduced.

The theoretical proof is based on the theory of Schwartz generalized functions.

Utilizing perturbation method, stochastic equations are changed to be a series of deterministic equations, In the meantime stochastic boundary conditions become deterministic boundary conditions considering characters of generalized functions.

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.

Pan-Linear Distributions and Its Differentiation;

In this paper,we present first a class of distributions multiobjective programming model (short for DMPM) which is in prospect of applying.

For the purpose of expanding use scope of wavelet transform, this paper discusses wavelets transform under the framework of distribution and gives some conclutions of wavelets transform in S space.