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The study of stability of iterative procedures plays a vital role in computational analysis, game theory, computer programming, and fractal geometry.
We have seen this with the fundamental discoveries in microelectronics, biology, information theory, computer science.
"We were churning out graduates who only knew theory, computer scientists who had never done any programming," he said.
The complexity, the new challenges and the new methods that arise in modern science in general - and at the LHC in particular - raise a number of questions that concern core issues of philosophy of science: what are the methods of acquiring knowledge, what is the role of models, and how does the intricate relationship between theory, computer simulations and experimental data work?
To date, several Mie theory computer codes have been developed [27].
In theory, computer systems, including handhelds, could cut down on these deaths by improving the flow of information, but doctors have been slow to adopt them.
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"The Hidden Reality" moves on to increasingly speculative and exotic discussions of a bubble multiverse ("Think of the universe as a gigantic block of Swiss cheese.... ......) a holographic one, a brane-world scenario (courtesy of string theory), computer-driven simulations, questions of how probability relates to infinity, and the Many Worlds view of quantum mechanics.
"The problem is that the big areas where power is being exercised – finance, managerial theory, computers – are not reducible to dramatic stories," he told the Guardian.
Advances in information theory, computers and experimental methods after World War II enabled scientists to challenge the dominant psychological discipline, behaviorism.
In theory, computers can be used both to predict how well a drug will match a target of known structure, and to tailor-make drugs from scratch.
Quantum computers won't be delivering your e-mail any time soon, but in theory computers based on the principles of quantum mechanics could be much more powerful than today's models.
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