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By using slow movements of large wings in a viscous medium, they were able to mathematically analyze the fast movements of tiny wings in air.
In this section, we mathematically analyze our proposed architecture.
However, it is difficult to mathematically analyze the mixed loss-queuing system.
(2) We mathematically analyze the identification delay, i.e., the number of total required slots, of SBA.
We mathematically analyze the proposed framework and show that it achieves accurate consensus asymptotically.
We mathematically analyze the proposed framework and show how the network achieves accurate consensus asymptotically.
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After the data is mathematically analyzed, the scientists can calculate how much the earthquake waves would be amplified if there were a seismic event.
Indirect techniques use X-rays or neutron beams and obtain their information by mathematically analyzing the radiation scattered or diffracted by the nanoparticles.
Maria McNamara, a paleobiologist at Yale University, and her colleagues used electron microscopy to study the moth's scales, and then mathematically analyzed the scale structure to determine what the colors originally were.
3M, the St. Paul, Minn., conglomerate, is using Microsoft's new Azure cloud service to allow advertisers and marketers to tap into a service that mathematically analyzes promotional images and evaluates how visually effective they are likely to be.
Ilan's billiard-ball diagrams were part of a tradition (the seminal work is Feynman and Wheeler's 1949 Advanced Absorber Theory) of mathematically analyzing a simplified version of the paradox: imagine a billiard ball enters a wormhole, and then emerges five minutes in the past, on track to hit its past self out of the path that sent it into the wormhole in the first place.
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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