Sentence examples for and hence was able from inspiring English sources

By a microlocal complex scaling constructed using suitable low regularity microlocal weights Sjöstrand [240] similarly localized resonant states to an ( sqrt{h} ) neighbourhood of the trapped set and hence was able to prove bounds of the form (3.54).

When the new rulers launched a purge in August that year, Aflaq managed to make his escape, with the help of Nasim Al Safarjalani and Malek Bashour, both closely trusted friends and colleagues, and hence was able to flee to Beirut, Lebanon, and later to Brazil.

This observation suggests that the low strain G′ was dependent on reversible entanglement and interactions between the NFC fibrils and hence was able to recover fairly quickly.

They hold life cheaply, and hence are able to entertain generous thoughts about the state.

As children are born into a world where genetic modification is more widespread, they may even begin to see it as more natural — and hence, be able to judge its impact with greater objectivity.

We show that our second-order scheme is stable for any mass density ratio and hence is able to handle strong added-mass effects.

The novel method has an unbounded, userconfigurable, and input-independent maximum degree of parallelism, and hence is able to make full use of computational resources.

Therefore, the proposed distortion lower bounds are tight, and hence are able to characterize the system performance well even for CSI quantizers with small to moderate quantization rates.

Each linear second-order controller is designed to have a 1 2 or 1 3 or 1 4 internal resonance with one of the plate's vibration modes and hence is able to exchange energy with the plate around the specific modal frequency.

The models for m* and the β-value exhibit a good correlation between observed and predicted data with a coefficient of determination of R2 ≥ 0.90 and, hence, are able to accurately predict precipitation curves for proteins.

It is more difficult to measure these parameters in occupied spaces and hence being able to predict occupied values of these acoustical parameters from unoccupied measurements is a great asset to achieving acoustically successful classrooms.