Wynne抯 minimal model is a theoretical model based on the study of transitive inference in animals.

Recent Advances in Current Mental Model of Transitive Inference in Children;

Using high-density event-related brain potentials(ERPs),the authors made an spatio-temporal analysis of brain activation and cognitive mechanism during four different formats of transitive inference task execution performed in 12 normal young participants.

The article is to sum up the development of childrens ability to recognize spatial positions in terms of the transitive inference,and present a prospective view of the orientation this kind of research might take in the future.

This research used 4 types of transitive reasoning tasks to investigat the development of the Compound Mental Model of 160 students in 4 grades.

Using the dual-task experimental paradigm,this study discussed the roles of working memory s components in transitive reasoning of a five-term task.

Making researches on the mental model of transitive reasoning and its emergence and developmental tendency has a great help for systematically learning about the development of children s cognitive abilities, and for enriching and expanding theories about psychology.

As their application a general solution on linear recurrence relations is obtained.

We consider the following a class of linear recurrence relation with constant coefficients having two indices u i,j =pm=11n=0(a m,n u i-m,j-n )+f(i,j) u k,0 =c k (k=0,1,…,p-1),u i,j =0(i<0 or j<0) where i,j≥0,p≥1,a m,n (m=1,2,…,p;n=0,1 ) and c k(k=0,1,…,p-1 ) are constants.