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The computer provided the power for doing computations that was not available before.
Computations that would take today's computers thousands of years will occur in minutes on these.
This requires the utilization of computer softwares because working with continuous groups involves computations that follow from the algorithmic process.
As such, unlike simple computations that can be carried out on a computer, the results of simulations are not automatically reliable.
Another way to look at it is as the total computations that could possibly have been done by any sort of computer in the history of the universe.
Dr. Hopfield said that he was particularly interested in the kinds of computations that occurred over time.
For example, the new Nvidia chip will handle physics computations that are performed by Sony's Cell microprocessor in the company's forthcoming PlayStation 3 console.
A senior N.S.A. official has described the Diffie-Hellman concept as a series of computations that are easy to do but hard to reverse, like breaking a window..
"The courts have allowed the first tenant who rents a deregulated apartment to challenge the computations that allowed the deregulation," Ms. McGuire said.
It allows the theoretician to perform computations that are too lengthy or complicated to be done with paper and pencil.
Wolfram Alpha, founded by another mathematician, has both data and computations that are used by Apple's Siri, among others.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com