Titlebook: Algorithmic Adventures; From Knowledge to Ma Juraj Hromkovic Book 2009 Springer-Verlag Berlin Heidelberg 2009 Biocomputing.Computer.Compute

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,‘Time and Chance Happen to All Men’,The known universe is finite, and most physical theories consider the world to be finite. Everything we see and each object we touch is finite. Whatever we do in reality, we come in contact with finite things only.

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https://doi.org/10.1007/978-94-011-9757-1In this chapter we aim to introduce one of the miracles of computer science. This marvel is based on a successful application of randomness in the design of efficient algorithms for apparently intractable problems.

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Infinity Is Not Equal to Infinity, or Why Infinity Is Infinitely Important in Computer Science,The known universe is finite, and most physical theories consider the world to be finite. Everything we see and each object we touch is finite. Whatever we do in reality, we come in contact with finite things only.

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Randomness in Nature and as a Source of Efficiency in Algorithmics,In this chapter we aim to introduce one of the miracles of computer science. This marvel is based on a successful application of randomness in the design of efficient algorithms for apparently intractable problems.

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Algorithmics, or What Have Programming and Baking in Common?,ithout undertaking the strenuous path of learning English and Russian. Similarly, one cannot understand computer science and marvel about its ideas and results if one has not mastered the fundamentals of its technical language.

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,Complexity Theory or What to Do When the Energy of the Universe Doesn’t Suffice for Performing a Coowing even in scientific disciplines beyond computer science. Time complexity is the most important measure of computational complexity. It measures the number of computer instructions performed (the amount of computer work). Time complexity is usually represented as a function of the input size.