As specified by theoutoption, Maple returns an expression sequence containing the following: *URcontains a 2 by 2 unimodular matrix polynomialUinzsuch thata,b.U=a',b'where(a',b')is the last basis accepted by the algorithm of [2]. ...
We state Buchberger's algorithm over Euclidean domains for global and also for local monomial orders. Section 3 discusses different variants of how to handle S-polynomials and GCD-polynomials, especially generalized variants of Buchberger's product and chain criterion. Over Euclidean domains like the ...
1. Use the Euclidean algorithm to find greatest common divisor of f (x) = x^4 + 7 x^2 + 1 and g (x) = x^5 + 2, considered as polynomials in F_3 [x]. Express gcd(f, g) as a combination of f and g. 2. P ...
These exact and fast transforms bring about renewed interest in MA com- putation for Euclidean distance. We present in this paper an adaptation of [14], which efficiently computes the LUT for SEDT in any dimension. Our algorithm also computes the test neighbourhood, and certifies that this ...
As specified by the out option, Maple returns an expression sequence containing the following: * UR contains a 2 by 2 unimodular matrix polynomial U in z such that a,b.U=a',b' where (a', b') is the last basis accepted by the algorithm of [2]. Examples ...