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Discover LudwigThe phrase "a robust proof" is correct and usable in written English.
It can be used when discussing the strength or validity of an argument, theory, or mathematical proof.
Example: "The mathematician presented a robust proof that confirmed the conjecture, leaving no room for doubt."
Alternatives: "a strong proof" or "a solid proof".
Exact(1)
The audio speaker represents a robust proof of concept for ionic conductors because producing sounds across the entire audible spectrum requires both high voltage (to squeeze hard on the rubber layer) and high-speed actuation (to vibrate quickly)—two criteria which are important for applications but which would have ruled out the use of ionic conductors in the past.
Similar(59)
The global concordance of analyses gene-by-gene and by a multi-dimensional perspective is a robust proof-of-concept of the existence of strict links between DNA repair and the inflammatory response in terms of gene expression.
Indeed, this provides a robust proof-of-principle validation on the use of zebrafish xenografts as in vivo surrogate or Wnt-regulated in vitro differentiation.
While optimism is rising on reports of a recovering economy, "there isn't a whole host of robust proof," said Ed Tonnessen, executive vice president at Albert B. Ashforth Inc. "It's circumstantial, in people's bones".
Services must have increasingly robust proof of their impact or else risk losing their funding.
They found no robust proof that financial globalisation helped countries to grow more quickly.
Most students will have to show greater proficiency in English and more robust proof that they can support themselves.
Phase III testing is intended to provide robust proof of efficacy, but is also labour-intensive and expensive: one study estimates that costs range from US$11.5 million to $52.9 million (A. Sertkaya et al. Clin. Trials 13, 117 126; 2016), depending on the field, and this is likely to be higher for a cutting-edge cellular therapy.
About the only aspect of SBS that really does work like true BRT is the rapid boarding through multiple doors – and while that, it must be said, is very pleasant indeed, in itself it hardly constitutes robust proof of the concept's viability on North American streets.
"Extreme claims for the possible survival of probably extinct species require robust proof, and while I would deeply love there to be strong evidence that the baiji is not extinct, this isn't it," Turvey said.
Together, our findings provide robust proof that Ang-(1 7) in vivo under non-pathological circumstances initiates renal inflammation by activating the NF-κB pathway.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com