1 The properties of finite discrete function are discussed.

2 Using discrete function analysis, the convergence of discrete vector solution for nonlinear parabolic systems is proved and existence of weak solutions for such equations is also obtained.

3 Objective: Study the expression form of the discrete function of gray model.

4 It shows that the derivative of finite discrete function is locally approximate to the one under continuous case.

5 The properties of finite discrete function are discussed. It shows that the differential of finite discrete function has a close bearing on the point distribution in plane and correlation analysis.

6 For function optimization problems, according to the nature of the objective function domain, can be divided into discrete function optimization and continuous function optimization.

7 The boundary conditions of cubic spline were given by the practical state at the extreme points of discrete function.

8 Widgets can be both visual (in that they render visual content, such as a chart) or nonvisual (in that they provide some form of discrete function or access to a service).

9 Fractional characteristics between length, width, thickness and weight of a single kernel were studied by using net method that adapted to the discrete function.

10 It is shown that the grey exponential law can be obtained by means of accumulative generation for non-negative smooth discrete function.

11 Differential equations of tile first order in the finite discrete function are established, the solutions of which have very simpler structure.