ENTRIES TAGGED "mathematics"

Mathematics and Art

Mathematics and Art

Nikki Graziano’s intriguing integration of mathematical curves into her photography sparked a Radar discussion about the relationship between mathematics and the real world. Does her work give insight into the nature of mathematics? Or into the nature of the world? And if so, what kind of insight? Mathematically, matching one curve to another isn’t a big deal. Finding an equation that matches the curve of an artfully trimmed hedge is easy. The question is whether that curve tells us anything, or whether it’s just another stupid math trick.

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Manifold Learning, Calculus & Friendship, and Other Math Links

Manifold Learning, Calculus & Friendship, and Other Math Links

One of the largest gatherings of mathematicians, the joint meetings of the AMS/MAA/SIAM, took place last week in San Francisco. Knowing that there were going to be over 6,000 pure and applied mathematicians at Moscone West, I took some time off from work and attended several sessions. Below are a few (somewhat technical) highlights. It’s the only conference I’ve attended where the person managing the press room, was also working on some equations in-between helping the media.

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Hacking Primes in Mathematica

This morning, Tim Bray tweeted about a post on prime numbers and Benford’s law. To cut the esoterica short, one of the big problems in prime numbers is that people don’t know how they’re distributed. This post suggests that Benford’s Law describes the distribution of the first digit of prime numbers. One of the comments asked an important question: is this really just an artifact of base 10? Math really doesn’t “know anything” about bases, so if this idea doesn’t generalize to bases other than 10, it doesn’t mean much.

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