On the basis of Kwapisiz s semi-ordered space and abstract space, it discusses common fixed point problem of a kind of commuting mappings, extends the results of Zhang Shisheng.

Two definitions of dual function and complementary function are given from the viewpoint of one-to-one mapping of the truth table.

This paper discussed properties of images on locally separable metric spaces and gives some impotant related results.

It shows popular artistic charm due to three “images”: the restoration of the style of the original ethnic dance, a living folk cultural museum and the thriving of life consciousness, which are worthy of discussing and tasting.

Based on the analysis of the interrelationship betw ee n images and stylistic meaning,between images and contextual meaning,between ima ges and cultural meaning,this paper focuses on how to reproduce the images in th e process of translation.

The research shows that unimodal map is similar to circle map.

The so called “hole induced coexistence of attractors” may occur in the discontinuous maps describing a kind of relaxation oscillators.

The degree of A-maps from a normed space to another one was developed by Kryszewski in 1989,and its appli-cations could be found in Kryszewski s paper of 1990.