5 citations · 8 across the 8 of their papers we have counts for
8 papers
Computing strong regular characteristic pairs with Groebner bases
Rina Dong, Dongming Wang
The W-characteristic set of a polynomial ideal is the minimal triangular set contained in the reduced lexicographical Groebner basis of the ideal. A pair (G,C) of polynomial sets i…
Decomposition of polynomial sets into characteristic pairs
Dongming Wang, Rina Dong, Chenqi Mou
A characteristic pair is a pair (G,C) of polynomial sets in which G is a reduced lexicographic Groebner basis, C is the minimal triangular set contained in G, and C is normal. In t…
The Second Discriminant of a Univariate Polynomial
Dongming Wang, Jing Yang
We define the second discriminant of a univariate polynomial of degree greater than as the product of the linear forms for all triples of roots $r_i,…
On the Connection Between Ritt Characteristic Sets and Buchberger-Gröbner Bases
Dongming Wang
For any polynomial ideal , let the minimal triangular set contained in the reduced Buchberger-Gröbner basis of with respect to the purely lexicographical term order be calle…
The Spaces of Data, Information, and Knowledge
Xiaoyu Chen, Dongming Wang
We study the data space of any given data set and explain how functions and relations are defined over . From and for a specific domain we construct the informat…
Automated Generation of Geometric Theorems from Images of Diagrams
Xiaoyu Chen, Dan Song, Dongming Wang
We propose an approach to generate geometric theorems from electronic images of diagrams automatically. The approach makes use of techniques of Hough transform to recognize geometr…