In this paper, based on Shannon Information Theory, consided the inherent characteristic of eigenvalues of matrix, the new concepts of generalized information function (GIF), information rate (IR) and accumulated information rate (AIR) are proposed, by which the degree of information compression is measured.

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.

For iviting and requesting from the chief editor of this journal, this paper is written for replying to some readers challenge on those papers published on this journal in the past, and their contents are about the issue of distribution function δ(x).