Sentence examples for a contraction due from inspiring English sources

and hence is a contraction due to.

which means that is a contraction due to (3.12).

Thus, F is a contraction due to condition (3.1).

A key fact in Yamada's argument is that, for small enough λ > 0, the mapping T λ x : = T x - λ μ F ( T x ), ∀ x ∈ H. is a contraction, due to the κ-Lipschitz continuity and η-strong monotonicity of F. In this paper, assume Θ: C × C → R is a bifunction satisfying assumptions (H1 - H4) and φ: C → R is a lower semicontinuous and convex function with restriction (A1) or (A2).

However, another possible cause of this truncation is a contraction due to an unseen mass falling into Messier 87 from the rest of the cluster, which, in particular, may be the hypothesized dark matter.

In contrast, in hyperthyroid rats, myosin is exclusively composed of V1, which leads to an accelerated contraction due to the faster turnover of the myosin moving along the thin filament [60].

Let us now explore what would happen after a hypothetical (and extreme) volumetric contraction due to a 'massive" DNA deletion (scenario 'WGD+ <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0008201.e001.PNG" class= inline-graphic"/> ').

It is caused by a defect in the pathways in the brain that control muscle contraction due to a low level of serotonin in the body.

The mountainous ridges observed in some regions can be explained as heavily degraded scarps of large multi-ring impact structures or as a result of the global contraction due to the slow cooling of the interior.

The generation of thrombi is triggered by atrial stasis, as a result of impaired atrial contraction due to atrial arrhythmia.

At the same time, we get that H is a contraction mapping due to (A4).