Sentence examples for a pair of ordered from inspiring English sources

From Remark 3.1, we just need to construct a pair of ordered periodic subsolution and periodic supersolution.

Lemma 3.1 Let b l f l > c M e M, then (1.1 - 1.3 1.1 - 1.3ir of ordered T-periodic supersolutions and T-periodic subsolutions.

If problem (1.1 - 1.2 1.1 - 1.2 padmits ordered nontrivial nonnegative pairofic subsordered anontrivialc supersolutiononnegativeblem (1.1)-(1.2) admits a nontrivial nonnegative periodic subsolution

It first introduces a novel concept – segment – defined as a pair of ordered ports served by one shipping line and subsequently develops a mixed-integer linear programming model for the proposed problem.

Let β be a function which not identically zero, and let (check{u}(x)), (hat{u}(x)) be a pair of ordered nonnegative upper and lower solutions of (1.3).

This technique is that, for the considered problem, starting from a pair of ordered lower and upper solutions, one constructs two monotone sequences such that they uniformly converge to the extremal solutions between the lower and upper solutions.

In a pair of orders, Judge Martin Glenn blessed a recent deal struck among MF Global's bankruptcy trustees and authorized a payout that will bring most customers to 93 percent of their original investment, up from 80 percent.

Judge Brinkema's ruling in Federal District Court here in the Virginia suburbs of Washington was a response to the Bush administration's refusal to obey a pair of orders that she issued earlier this year allowing Mr. Moussaoui to interview captured Qaeda terrorists held overseas who were involved in planning the terrorist attacks.

then the function are called a pair of order upper and lower solutions for (1.2).

Assume that are a pair of order upper and lower solutions of (1.2), then the boundary value problem (1.2) has at least one solution, moreover, (3.1).

According to Krishnamoorthy and Mathew (2009), to construct a nonparametric tolerance interval with the confidence level of (100 times left( {1 - alpha } right){text), a pair of order statistics (x_{r}) and (x_{s}) need to be determined by which at least (p times 100percentnt of the population would be covered.