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The results reveal that the DO method converges exponentially fast with respect to the number of modes (for the problems considered) giving same levels of computational accuracy comparable with the PC method but (in many cases) with substantially smaller computational cost compared to stochastic collocation, especially when the involved parametric space is high-dimensional.
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Its performance, robustness and substantially low computational effort justify the potential of our method for solving larger problem sizes.
An outsourcing protocol is efficient if the computational work invested by client is substantially smaller than running the computation by itself, otherwise, the client could carry out the computation itself without putting confidentiality and integrity of its data at risk.
Efficiency The computational work invested by the client is substantially smaller than running the computation by itself.
But since 2000, Vestre Svartisen has become "substantially smaller".
Many reckon the industry needs to become substantially smaller.
And its promotional budget will be substantially smaller too.
Sunday's cycling crowd was substantially smaller, just 170 riders.
The likelihood of accidents goes down very substantially and therefore the size of the tunnel becomes substantially smaller".
It turned out to be a runt substantially smaller than the moon.
Cambridge's race gap for medical applicants is substantially smaller than that of its rival, Oxford University.
Write better and faster with AI suggestions while staying true to your unique style.
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