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 polynomial
This we hope will give us the minimal polynomial
The most popular vector extrapolation methods are the minimal polynomial
extrapolation (MPE) method by Cabay and Jackson , the reduced rank extrapolation (RRE) method by Eddy  and Mesina , 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
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.