Archives for posts with tag: Science
The Marriage of Fractals and Splines
Google Tech Talk June 15, 2009 ABSTRACT The Marriage of Fractals and Splines: Fractals with Control Points, Splines as Attractors Presented by Ron Goldman, Department of Computer Science, Rice University. Fractals and splines have very different geometric features. Fractals can be continuous everywhere, yet differentiable nowhere. Fractals are often selfsimilar curves with fractional dimension. And fractals are also attractors, fixed points of iterated function systems. In contrast, splines …
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The Church-Turing Thesis: Story and Recent Progress
Google Tech Talk June 8, 2009 ABSTRACT Presented by Yuri Gurevich. The Church-Turing thesis is one of the foundations of computer science. The thesis heralded the dawn of the computer revolution by enabling the construct of the universal Turing machine which led the way, at least conceptually, to the von Neumann architecture and first electronic computers. One way to state the Church-Turing thesis is as follows: A Turing Machine computes every numerical function that is computable by means …
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