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Автор: Alexey Miasnikov
Год: 2010
Издание:
LAP Lambert Academic Publishing
Страниц: 152
ISBN: 9783838394459
In the book, "Experimentation in Mathematics," authors J.Borwein and D.Bailey write: "One of the greatest ironies of the information technology evolution is that while the computer was conceived and born in the field of pure mathematics, through the genius of giants such as John von Neumann and Alan Turing, until recently this marvelous technology had only a minor impact within the field that gave it birth." One of the main objectives of this research is to show that computers can be successfully used for analysis of mathematical problems. Our philosophy here that if an irregular or non-random behavior has been observed during an experiment then there must be a pure mathematical reason behind this phenomenon, which can be uncovered by a proper statistical analysis. Using methods of pattern recognition and exploratory data analysis we formulate conjectures and design nearly optimal heuristic algorithms for solving the Whitehead Minimization Problem. Several years later after...
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