Sentence examples for introduced the condition from inspiring English sources

The authors introduced the condition of weights in [1].

In 2008, Suzuki [6] introduced the condition C as follows.

Then Ćirić introduced the condition (CBW): (phi(0)=0), (phi(t)< t) and (liminf_{rrightarrow t^phi(t)< t) for all (t>0).

Ordóñez Cabrera [9], by studying the weak convergence for weighted sums of random variables, introduced the condition of uniform integrability concerning the weights, which is weaker than uniform integrability and includes the Cesàro uniform integrability as a special case.

In order to weaken the condition (c) further, Fang [10] introduced the condition (d): for each (t>0) there exists (rgeq t) such that (lim_{nrightarrow infty}phi^{n}(r)=0) in the context of Menger probabilistic metric spaces and fuzzy metric spaces.

To overcome these problems, we introduced the conditions upon which the 2D beampattern design for uniform rectangular arrays (URA) can be achieved via the product of two perpendicular transmit beampatterns of uniform linear arrays (ULA).

Tristram Hunt introduces The Condition of the Working Class in a new Penguin Classics edition.

By introducing the condition that the viscosity of solutions η → η0, the viscosity of the solvent as the concentration of the salt N → 0, we have recast Angell's equation in the following form, ln ηrel = kN/[No(No  N)].

In order to discuss the results of existence for the strong solution of (SEP) I, we introduce the condition.

In this paper, first, we introduce the condition (BP) which is weaker that the completely continuous mapping.

In this paper, first, we introduce the condition (BP) which is weaker than the completely continuous mapping in Banach spaces.