Sentence examples for imposed on their sequence from inspiring English sources

Disorder, which is encoded by a much wider portion of sequence space as compared to order, can indeed represent a strategy by which genes encoding overlapping reading frames can lessen evolutionary constraints imposed on their sequence by the overlap, allowing the encoded overlapping protein products to sample a wider sequence space without losing function.

Then, they proved that under certain appropriate conditions imposed on,,,,, and, the sequence generated by (1.30) converges strongly to, where.

The restrictions imposed on the sequence are mild.

Corollary 3.2 improves Theorem CKZ by relaxing the restriction imposed on the sequence {e n }.

Note that Assumption 1 is stronger than the conditions imposed on the sequence in Theorem 2.1 for (2.1).

The strong convergence of this technique is proved under certain assumptions imposed on the sequence of parameters.

He obtained strong convergence results for the sequence { x n } n ∈ N generated by algorithm (1.4) when only the conditions C1 and C2 are imposed on the sequence { x n } n ∈ N, see also [12].

It is proved in [3, 4] that, under appropriate condition imposed on, the sequence generated by (1.2) converges strongly to the unique solution in of the variational inequality: (1.3).

It is proved [18, 19] that, under certain appropriate conditions imposed on, the sequence generated by (1.28) strongly converges to the unique solution in of the variational inequality (1.29).

end{aligned} This, together with assumption conditions imposed on the sequence ({alpha_{i}}) and ({beta_{i}}), shows that (lim_{mathcal{K}_{i}ni krightarrowinfty}g (Vert Jx_{k}-Jw^{(i)}_{m_{k}}Vert )=0).

To obtain Painleve-Kuratowski lower convergence of the solution sets, we introduce a sequence of gap functions based on the nonlinear scalarization function introduced by Chen et al. in [14] and a key assumption imposed on the sequence of gap functions.