Sentence examples for on a given interval from inspiring English sources

In the monographs [9, 10], Kuczma, Choczewski and Ger gave a complete description of iterative roots of continuous and strictly monotonic self-mappings on a given interval.

The problem is to find the optimal weights and the optimal positions of a regularly spaced array of aligned telescopes, so that the resulting interference function approximates the zero function on a given interval.

On a given interval the class of all spaces which contains constants and for which the space obtained by differentiation is a QEC-space has been identified as the largest class of spaces (under ordinary differentiability assumptions) which can be used for design.

Second order Sturm-Liouville equations are of the form -bigl(p(x y^{prime}bigr)^{prime}+q(x y=lambda w(x y,quad -infty < a< b< infty, where p, q, and w are real-valued functions such that (p^{-1}), q, and w are locally integrable functions on a given interval and (w>0) for almost all x.

MRT is computed on all jobs processed in a given interval, here, the total simulation time.

The gene-finding program Glimmer3 [53], which uses an interpolated Markov model scoring algorithm that computes the log-likelihood that a given interval on a DNA sequence was generated by a model of coding versus non-coding DNA, also failed to identify these M-type ORFs as putative protein-coding genes (data not shown).

One can calculate then theprobability of N spikes in a given interval, T, conditioned on therequirement that none of those spikes caused vesicle release, while the facilitationvariable is at its mean steady state value of 〈 F R ∞ ( r ) 〉.

The following lemma offers a simple criterion to determine the sign of a class of special polynomial on given interval contained in (( 0,infty ) ) without using Descartes' rule of signs, which play an important role in studying certain special functions; see for example [37, 38].

Bernstein [12] and Widder [13] independently introduced an important sub-class of convex functions, which is called the class of exponentially convex functions on a given open interval, and studied some properties of this newly defined class.

An alternative terminology is that ( S λ ) is definite on the given interval.

We say A is a positive operator if for every non-negative f and (xin I), we have (A f,x geq0), where I is any given interval on the real semi-axis.