Sentence examples for breakthrough is due from inspiring English sources

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For the arbitrary initial data, the major breakthrough is due to Lions [22], where he established global existence of weak solutions for the whole space, periodic domain or bounded domains with Dirichlet boundary conditions if γ ≥ 9/5.

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Recent breakthrough in gerontology is due to an integration of different disciplines, such as genetics and development in model organisms, signal transduction and cell cycle control, cancer cell biology and DNA damage responses, pharmacology, and the pathogenesis of many age-related diseases.

To date, one of the main barriers for gene therapy to achieve substantial breakthrough is probably due to the lack of high efficacy and safe gene delivery vector.

But many believe he is due for a breakthrough.

Despite lots of jaw-jaw there has been no breakthrough as yet, and a €300m payment to the International Monetary Fund is due on Friday.

The increase in differential pressure is due to the mobilization of residual oil which persisted until oil bank breakthrough.

The device is due in June and Cheng claimed it is the result of "four technological breakthroughs" and "18 patented technologies," but he didn't provide further details.

In long horizontal wells, premature water or gas breakthrough is usually encountered due to the imbalanced production profile.

The decrease in Δp after breakthrough is because of the bubble coalescence due to diffusion or breaking of foam films (Yu et al. 2014).

The larger impact is that steady-state pH after breakthrough is more neutral with increased pumping due to mixing of a larger fraction of the ambient groundwater at greater distances from the leak source, as well as removing CO2 affected water at higher pumping rates.

Nonspecific changes in the output signal because of fluctuations in temperature, pH and electrical breakthrough were significantly reduced due to the differential mode of measurements.

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