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Things of interest in Maths & Science

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When designing a machine, it’s better to mesh gears together whose numbers of teeth don’t share a common factor. In the top pair, the gears have 12 and 6 teeth each, so the red defect on the right gear grinds on the left gear in two places. Because the gears in the bottom have coprime numbers of teeth (7 & 5), the wear from the defect is spread evenly on the left gear. [more] [code] 

When designing a machine, it’s better to mesh gears together whose numbers of teeth don’t share a common factor. In the top pair, the gears have 12 and 6 teeth each, so the red defect on the right gear grinds on the left gear in two places. Because the gears in the bottom have coprime numbers of teeth (7 & 5), the wear from the defect is spread evenly on the left gear. [more] [code

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Matt Henderson

I post original stuff about maths, space, computational linguistics and other things that I like. This blog is meant to be accessible and interesting to people of all backgrounds. My undergrad was maths in Cambridge, and I'm now starting research in Speech and Language technology. Email me at If you're new, check out this overview of my posts. All code posted is in Mathematica.

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