We present now a proof that the convergent power series produced by the
recursive procedure always regenerates the Taylor series in addition to a complementary one.
Thus, the
recursive procedure should not be started until the initial value [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] falls into its tolerance restriction region.
[X.sub.k] can be estimated according to the following
recursive procedure:
The aforementioned meaning of the
recursive procedure denotational specification is modeled as the fixed point of the nonrecursive mapping which corresponds to the supremum and, simultaneously, the topological limit, with respect to the so-called Scott topology, of the increasing successive iterations sequence.
This outcome is sufficient in the
recursive procedure of matrix recognition, because a homomorphism of G into the permutation group Sym(k) can be computed.
3 A New
Recursive Procedure to Generate the Hilbert Series
Pattabhiramacharyulu: 'A
Recursive Procedure for two-species competing eco-system with decay and replenishment for one species', Published in Acta Ciencia Indica, Meerut, Vol.35, 2009.
If used, a
recursive procedure must have a well-defined hard coded limited depth.
with polynomials P, Q, R, S that can be computed by a
recursive procedure. This does not hold for other damaged problems, which is proved in Corollary 2.5.
The lag truncation parameter is chosen using the general to specific
recursive procedure based on the t-statistic on the coefficient associated with the last lag in the estimated autoregression, see Perron (1997) for more details.