**2020 TRU Math Competition Winners:**

*First Place:* **Kateryna Tretiakova **

*Second Place:* **Anastasiia Kot **

Intuitively, a tensor is an object which has two attributes: invariant direction under a change of coordinates, and components which change in a ”special” way under a change of coordinates. The idea is, that if you have some forward and backwards transformations be- tween two coordinate basis, those transformations are inverses of one another and Read More ...

One idea being communicable in multiple different ways is a recurring phenomenon in mathematics. This talk will explore an accessible example. Namely, we will discuss three ideas (see below), which on the surface, seem somewhat different. However, we will reveal that all three communicate the same basic concept, and justify this with accessible examples. A Read More ...

What does it mean for a set to be INFINITE? Are some INFINITE sets bigger than others? These, and other questions, will be answered. Join us in the Math Help Center (3rd Floor of HOL) on April 5th for a lively discussion about INFINITY. Bring a friend. In fact, bring INFINITELY many friends.

My presentation will consist of a short introduction to Flatland, an idea presented by A Abbott in the late 1800’s. We live in three dimensional space. That is, we have freedom of three ranges of motion: Forward/backward, Up/Down, Left/Right, and we can reach any point in our space with a combination of these motions. I’ll Read More ...

Georg Cantor first came up with the idea of Cantor sets when he discovered a generalization of perfect sets that were nowhere dense; however, this was not the only paradoxical property. To construct the Cantor ternary set, begin with the interval [0,1] and perform iterations where you delete the open middle third interval from each Read More ...