• The Perceptron

    Frank Rosenblatt's Perceptron is an algorithm for supervised learning of binary classifiers.

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  • Dynamical Systems — Example 1

    An understanding of dynamical systems allows us to build better robots, among other things. The Babylonian square root algorithm is a simple though conceptually rich example of a dynamical system.

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  • Sequence Alignment and Minimum Edit Distance

    String similarity is an important concept in NLP. Sequence Alignment and Minimum Edit Distance are two related meaures of string similarity.

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  • Centers and Kernels of Group Homomorphisms

    Is there a natural homomorphism from any group to an induced group such that the center of the group is the kernel of the homomorphism?

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  • The Klein-4 Group and \(S_3\).

    The Automorphisms of the Klein-4 group is isomorphic to \(S_3\).

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  • Cosets, Conjugacy, and Center

    Some scattered results from group theory, to be organized and expanded at a later date.

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Mathematics is practical Mathematics is beautiful Two out of two — pretty good!