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If you store GPS coordinates as 32-bit floats, your precision in Iowa is about two feet.
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Way back in 2007, I got my first taste of mathematical research.
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I recently collaborated with Boris Alexeev, Evan Conway, Matthieu Rosenfeld, Andrew Sutherland, Terence Tao, and Markus Uhr on a problem posed in this blog post by Tao, which has now culminated in a joint paper.
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Suppose you knew that 9,273,284,218,074,431 was a perfect 7th power.
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In this post, we’re going to investigate an underexplored bridge between computer science and algebraic number theory.
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(Or: Enforced Algebraic Structure of Commutative Accumulative Hash Functions) While there are several documented approaches to defining a hash function for lists and other containers where iteration order is guaranteed, there seems to be less discussion a…