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In 1935, I. M. Vinogradov devised a method for estimating their mean values very much more efficient than the methods available hitherto due to Weyl and van der Corput, and subsequently applied his new estimates to investigate the zero-free region of the Riemann zeta function, in Diophantine approximation, and in Waring?s problem.
The standard formulation of quantum computing (Deutsch 1985, following Feynman 1982) does not predict anything beyond computable effects, although within the realm of the computable, quantum computations may be very much more efficient than classical computations.
Another factor is that the intravenous route of infection is very much more efficient than the oral route, as shown in experimental models.
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Rather, they say, the family council and the board have made the group very well organized and much more efficient in running the business and making decisions.
Having cofounded a startup that was trying to solve this problem with our own editing and workflow tools back in 2005, I'm very aware of how much more efficient it is to have a single system like this.
It is found that this new inversion algorithm not only does produce very good results but also is much more efficient and stable than its standard version.
"The real one will be much more efficient".
The online forum also made office hours much more efficient: I had very few redundant questions because the common difficulties were usually already addressed on the forum, often within hours of the homework being distributed.
CCDs are much more efficient at imaging very faint objects and are far less likely to be foiled by Earth-based light.
This tells us that, combined, the technologies being used are very effective in making an older house much more efficient and in reducing its carbon footprint.
I find that breaking up my days keeps me grounded and much more efficient than working very long hours straight.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com