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Discharge equations of all existing sharp crested flow measurement weirs involve some fractions such as exponents of flow depth, which make manual calculations difficult.
These deficiencies are particularly related with the existing sharp transitions between two adjacent excavation classes and the subjective uncertainties on data that are close to the range boundaries of rock classes.
Remove any existing sharp objects or household goods away from the treadmill, such as pointy sculptures or furniture with sharp corners.
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We conduct the matched asymptotic expansion analysis and demonstrate that our phase field model reduces to the before-existing sharp interface model of the Asaro Tiller Grinfeld instability in the sharp interface limit.
What's wonderful about Hall's play is that it shows them existing alongside humorous scepticism, sharp wit, big (and thwarted) talent.
He noted that sales of existing homes rose a sharp 7percentt in August to an annual rate of 3.7 million units, the highest level of this decade.
In sharp contrast, existing work has the potential to substantially overestimate the number of latent components and to provide inadequate estimates for the kernel parameter.
For optical waveguides with high index-contrast and sharp corners, existing full-vectorial mode solvers including those based on boundary integral equations typically have only second or third order of accuracy.
However, this result was merely due to a sharp contrast existing between LC T*Pfrequencies observed in Europe (high to very high) and those observed in sub-Saharan Africa (low to very low), rather than to a south to north continuum of frequencies supporting an isolation by distance model (results of spatial autocorrelation analysis not shown).
Furthermore, we obtain upper bounds for the spectral radius of weakly symmetric nonnegative tensors, which are sharper than existing results.
The findings bring into sharper relief existing evidence that average Americans are getting squeezed ever tighter, while the country's wealthiest watch their fortunes explode.
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