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This error bound proves that the approximate function f m ( x ) converges to f ( x ) based on shifted Jacobi polynomials.
It should not come as a surprise that the upper bound proves to be a much better predictor of VMT and emissions than does the lower bound.
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Then, we deduce the signal reconstruction error bound, proving that it is effective for improving signal reconstruction performance.
We deduce the signal reconstruction error bound, proving that appropriate selection of the stretching factor and smoothness order guarantees low reconstruction error.
We see that both balanced and brute force codes reach the bound, proving thus their optimality in terms of level of interference.
But it is clear that the zero nominal interest rate bound has proven costly.
Raising the issue on Chinese soil, as she did on Sunday, was bound to prove more contentious.
The confusion and delay in reaching the new framework are bound to prove costly.Several big questions remain.
This war is bound to prove much longer, tougher and less conclusive than the war on Iraq.
… but follow up with this: "But it is clear that the zero nominal interest rate bound has proven costly".
And Speaker Gingrich's enthusiasm for Civil War reënactment is bound to prove handy at your next family event or reunion.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com