We propose a method to make a relationship between images and words. We adopt two processes in the method, one is a process to uniformly divide each image into sub-images with key words, and the other is a process to carry out vector quantization of the sub-images. These processes lead to results which show that each sub-image can be correlated to a set of words each of which is selected from w...

Abstract The objective of this work is the study probability occurrence phase portraits in a family planar quasi-homogeneous vector fields quasi degree q , that natural extension linear fields, which correspond to $$q=1.$$ q = 1 . We ob...

In this paper we develop a new model and propose an iterative method to calculate stationary probability vector of a transition probability tensor arising from a higher-order Markov chain. Existence and uniqueness of such stationary probability vector are studied. We also discuss and compare the results of the new model with those by the eigenvector method for a nonnegative tensor. Numerical ex...