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Ritt-Wu's Characteristic Set Method For Ordinary Di®erence Polynomial Systems With Arbitrary Ordering
dierence polynomial ascending chain characteristic set Ritt-Wu's zero decomposition theorem
2013/9/9
In this paper, a new Ritt-Wu's characteristic set method for ordinary di®erence systems is proposed, which is valid for any admissible ordering. New deˉnition for irreducible chains and new zero ...
A Characteristic Set Method For Ordinary Di®erence Polynomial Systems
di® erence polynomial ascending chain characteristic set coherence irreducibility zero decomposition theorem automated theorem proving
2013/9/9
We prove several basic properties for di®erence ascending chains including a necessary and su±cient condition for an ascending chain to be the characteristic set of its saturation ideal and a nec...
Decomposition of Ordinary Di®erence Polynomials
Functional decomposition dierence polynomial dierence operator dierence degree.
2013/9/9
In this paper, we present an algorithm to decompose ordinary nonlinear dierence polynomials with rational functions as coe±cients. The algorithm provides an eective reduction of the decomposition of d...
The di®erence of the variance functions between two estimated responses for a fourth order rotatable design in two dimensions
variance functions estimated responses rotatable design
2009/1/4
In this paper the di®erence of the variance functions between
two estimated responses for a fourth order design at any two points in the
factor space is developed. In particular, the variance fu...