Remark 3.3 The following parametric sequences satisfy the hypotheses of Theorem 3.2.
Theorem 4.2 improves some related results of [10] and [11] in the sense that the iterative parametric sequences do not depend on the norm of operator A. Theorem 4.3 seems to be a new result.
The choice of the iterative parametric sequences ({alpha_{n}} ) and ({beta_{n}}) in (3.23) does not depend on the Lipschitz constant of A, thus, (3.23) is also efficient even in the case where the Lipschitz constant of A is unknown.
(3) The choice of the iterative parametric sequences ({alpha_{n}} ) and ({beta_{n}}) in (3.23) does not depend on the Lipschitz constant of A, thus, (3.23) is also efficient even in the case where the Lipschitz constant of A is unknown. .
For both the nonparametric and parametric approaches, sequence alignments of different lengths between 102 and 106 nucleotides were generated, with 100 replicate alignments per alignment length.
Here, we present SOCS-B, a reference-based, un-gapped alignment algorithm for the SOLiD System that is tolerant of both bisulfite-induced nucleotide substitutions and a parametric number of sequencing errors, facilitating bisulfite sequencing on this platform.
For a parametric description of sequence annotability, a dedicated index (Ai, Annotation index) was developed in the present research and calculated for the most interesting sequence subsets.
Because of sequence amelioration, parametric methods are limited to detect recent transfers [ 20], and their success hinges on donor and recipient having different sequence characteristics [ 21- 23].
Briefly, F-Seq [ 129] is a parametric density estimator of sequence tag data, developed to overcome the bin-boundary effects of histogram metrics for peak enrichment [ 129].
We found that the dynamical response triggered by the external input can be analysed in terms of: i) the nullcline's geometry as described by a backbone sequence of parametric conditions and ii) the specific location of the initial stable state in the phase space with respect to the nullclines and the separatrix.
