Category Archives: Math

Ordered Fields and When You Can’t Order Them

Posted on April 8, 2017 by Tom Gannon

The real numbers have an ordering on them–given two numbers and , we can tell whether  or . So as math people, we like to generalize this to other sets–when can we say that a general set is ordered? In this post, … Continue reading →

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The Science of Moving Dots

Posted on February 25, 2017 by Sarah K. Salmon

A guest post by Allison Kotleba: When most people think of basketball, they picture the tall players, the fast-paced plays, and the seemingly impossible shooting skills. However, spatiotemporal pattern recognition does not come to most people’s minds when discussing the … Continue reading →

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What is a Manifold? (5/6)

Posted on February 13, 2017 by Behnam Esmayli

In our last post, we invented a new geometry by re-scaling the inner product of the usual Euclidean plane. This modification did not change any of the angles in our geometry, in the sense that if two curves intersected in a particular Euclidean … Continue reading →

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See, Accept, Affirm

Posted on December 23, 2016 by Juliettte Bruce

The mathematical community is one, which—while not as diverse as it could/should be—counts as members individuals from all backgrounds and of all identities. These individualities are something we as a community should cherish and support. One outlet for such support … Continue reading →

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What is a Manifold? (4/6)

Posted on December 2, 2016 by Behnam Esmayli

After our luxurious treatment of 1-d manifolds, we turn to 2-d manifolds. My story of surfaces starts in a beautifully weird morning when I got up to realize that life in the usual Euclidean plane had changed dramatically. Vectors had shortened, areas … Continue reading →

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