Sentence examples for assuming certain conditions from inspiring English sources

Herein, we review these data and our safety protocol and the new generation of devices that have been prospectively designed and tested to be safe for MR scanning, assuming certain conditions are met (i.e., devices that are MR-conditional).

Mr. Ackermann also was awarded an additional 2.5 million euros in restricted equity awards, which he will receive only in subsequent years, assuming certain conditions are met.

Last week, an economist with the F.E.R.C., Jonathan D. Ogur, concluded in written testimony that "it is likely that El Paso Corporation had and exercised market power," assuming certain conditions were present, including that pipeline constraints created a separate gas market in Southern California.

Any and all earnings, projections, and estimates assume certain conditions and industry developments, which are subject to change.

First, we assumed certain conditions in the proposed pre-authentication scheme.

We characterize the pairs of weights for which the Hardy-Steklov-type operator applies into weak-,, assuming certain monotonicity conditions on,, and.

This work extends and improves some known results in the literature on third-order nonlinear dynamic equations and the results are established for a time scale (mathbb{T}) without assuming certain restrictive conditions on (mathbb{T}).

end{aligned} (12 If (y_{t}=ln x_{t},) where (x_{t}=varphi varepsilon _{t}) as in (11) and then the logarithm of the scale parameter for (x_{t},) that is (ln varphi,) becomes the location for (y_{t}.) Hence (psi _{L} y_{t})=psi _{S}(x_{t}).) The ML estimators are asymptotically efficient, assuming certain regularity conditions hold.

For two such systems, while assuming certain rigidity condition on traces, we prove that if there is certain isomorphism between the ordered K0 of the two crossed product C⁎-algebras, then these two systems are approximately K-conjugate.

The stability of the boundary conditions is proved, assuming certain properties of the integral operator.

The function f ∈ C ( R, R ) is assumed to satisfy x f ( x ) > 0 and f ′ ( x ) > 0 for x ≠ 0. In addition, there is no need to assume certain restrictive conditions and also the both cases.