The spatial distributions of soil hydraulic properties and soil water Variables in a stratified soil are described as random space functions,and three types of models of AR(1),MVAR (1),and NNM are adopted to generate realizations for saturated hydraulic conductivity, poresize distribution parameter and soilwater capacity.

This method is based on the virtual reality technology and fractal theory, and uses the stochastic function to improve the regular three branch tree algorithm.

Since the microstructures of composite materials have the inhomogeneity, so thattheir elastic moduli and density become the stochastic functions of coordinate x_1, and thus thestatistical nonlinearity is appeared.

The integrability of e~(λ|F|~2) for random function F;

Research on random function model of strong ground motion(Ⅱ):parametric statistic and model certification

Research on random function model of strong ground motion(Ⅰ):model constructing

Using random functions of C++ simulate random emerging objects to find the solution of a question concerning events which have equivalent probability distribution or not equivalent probability distribution.

Method for structural reliability analysis in generalized random space;

The compactness of a new function space;

A note on the algebraicity of domain function spaces

By the new method, which utilizes function approaches theory, projection operator theory and multi-resolution analysis, the telegraphic equation can be projected into a function space, which is spanned by the orthogonal basis function relates to variable t in an given binary resolution, and then an vector equation with only one variable of distance x is presented.