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By choosing a splitting scheme that separates the self-fields from the complicated externally applied fields, we are able to utilize a large step size and still retain high accuracy.
By using an extensible link mechanophore model that assumes sparse mechanophore loading, we are able to utilize classical mechanics composite solutions for deformation fields in composites to predict mechanophore response as a function of macroscale stress, filler geometry, and component material properties.
We are able to utilize compressive sensing algorithms to reduce the number of measurements needed to reconstruct an image, and hence increase our frame rate to 1 Hz.
With knowledge about the biological olfactory system and the techniques for the expression of biological receptor proteins, we are able to utilize biological materials and systems to mimic the biological olfactory system.
(39) As the function ψ is convex, we are able to utilize the Jensen inequality and conclude that int_{0}^{1}theta(x,t),dx-lnint _{0}^{1}theta(x,t),dx-1leq{C} {c^{-1}_{v}}.
In doing so, we are able to utilize what is arguably the most critical piece of information from the gene signatures, and analytically most challenging to derive: shortlists of genes related to breast cancer survival.
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We were able to utilize this new structure, but it's changing all the time.
By leveraging the power of AWS and Hadoop, we were able to utilize hundreds of machines concurrently and process all the data in less than 36 hours.
In addition, we were able to utilize a molecular light imaging system to macroscopically image the cells on these materials both with fluorescence and luminescence, as well as quantify the signal from the samples.
Furthermore, despite the peak emission of p-FE being ~1010 nm, we were able to utilize its substantial emission tail extended above 1300 nm for imaging with low exposure time of ~20 ms in the 1300−1400 nm (Fig. 2c), NIR-IIa window18, 19 known to further suppress photon scattering for enhancing image clarity and signal to background ratios over imaging in the ~1000 nm region.
We were able to utilize this feedback to simplify the workload of the physician as much as possible.
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