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Category Archives: Math
Matrix Multiplication, the human way!
Having to do copious calculations by hand when preparing for an exam, I came to realize that there was an alternative way of interpreting a matrix multiplication. This new insight would allow me to instantly guess the following product without … Continue reading
Optimal Control Theory to Settle Reinhardt’s Conjecture
The 2010’s are a Golden Age for packing problems. In 2014, Hales announced the longawaited completion of a highprofile machine proof project called FlySpeck, which verified his proof of Kepler’s conjecture. Johannes Kepler, in 1600, conjectured that the densest way to pack … Continue reading
Posted in General, Math
Tagged Control Theory, Math, Packing Problems, Reinhardt Conjecture, Sphere Packing
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What is a Manifold? (6/6)
In posts 13 we were able to reduce all of the geometry of a curve in 3space to an interval along with two or three realvalued functions. We also discussed when two sets of such data give equivalent (overlapping) curves. This … Continue reading
Ordered Fields and When You Can’t Order Them
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
The Science of Moving Dots
A guest post by Allison Kotleba: When most people think of basketball, they picture the tall players, the fastpaced plays, and the seemingly impossible shooting skills. However, spatiotemporal pattern recognition does not come to most people’s minds when discussing the … Continue reading