In the remaining case, we use the machinery of analytic combinatorics to determine the

minimal polynomial of its generating function, and deduce its growth rate.

Let [theta] be an algebraic integer, and f (x) the

minimal polynomial of 9 over Q.

Let [beta] be a Pisot series with

minimal polynomialThis we hope will give us the

minimal polynomial for m.

The most popular vector extrapolation methods are the

minimal polynomial extrapolation (MPE) method by Cabay and Jackson [8], the reduced rank extrapolation (RRE) method by Eddy [10] and Mesina [28], the modified

minimal polynomial extrapolation (MMPE) method by Sidi et al.

2) F' = F(y), whose

minimal polynomial over F is [phi](T), where [phi](T) is defined as (1), for some u [member of] F.

n](x), which is defined as the

minimal polynomial over Q for any primitive nth root of unity [zeta] in C.

The PN-based FSONN design activities have focused over the past years on the development of self-organizing,

minimal polynomial networks with good generation capabilities.

Now we fix n = 85, all the 4-cyclotomic cosets mod 85 and

minimal polynomial of [[alpha].

A ROOT object contains the

minimal polynomial of the algebraic number and the root number, an integer indicating which of the roots of the

minimal polynomial, the ROOT object represents.

Thus Kummer's theorem asserts h(x) = (x - b)(x + b + 1) mod p for the

minimal polynomial h(x) of [theta].

Since [parallel]rn-1[parallel] = 0 implies that the degree of the

minimal polynomial of A is[parallel][r.