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## How to Recognize a Parabola

Hello, guys! In my 45-minute talk, I’ll discuss certain theorems and corollaries and proofs that can help us determine whether or not a curve is a parabola. But my main focus is on working with higher degree 2 and 3 equations. For example, if $y = x^2$ is our...

## Lights Out and Variants

Hello all! For my 45 minute talk I will be talking about the game, Lights Out, and different forms of the game. Lights Out is usually played on a 5×5 grid, with 25 buttons. And pressing a button, will toggle nearby lights. The goal of the game is simple, right?...

## Music, Ternary Continued Fractions, and Jacobi

Ternary Continued Fractions are fractions that can be expanded by special eqns; known as Jacobian Ternary Continued Fractional Eqns. These eqns were developed by Jacobi bc he was very interested in the concept of the continued fraction. and using these eqns was how he...

## Envy-free Cake Division Protocols

Have you ever had to split something evenly between a group of people? Chances are that you have, and chances are that when you did, you didn’t use the laws of mathematics to ensure everyone’s complete and mathematically certain satisfaction. Because y’know, that’d be...

## Inflation and Stock Returns

Hey everyone! For my talk, we will be exploring the impact on monetary policies on inflation which then results into an impact on stock return and asset prices. This may sound more like an economic or finance talk, but let me assure you, a lot of math can be found...

## Puzzles from March 30

We looked at a typical page of Maslanka puzzles from the Guardian Weekly, and concentrated on #3 here.

## Cantor Polynomials and the Fueter-Polya Theorem

Hi everyone! For the first math seminar of the semester, I will be discussing the idea of a Cantor Polynomial and an interesting theorem that relates to these polynomials called the Fueter-Polya Theorem. Cantor Polynomials deal with the question of taking...

## Puzzles from March 2

Puzzles 334 and 336 from Math Horizons  Vol. 23, No. 3 (2016) This is puzzle 336 from Math Horizons showing first, second, third step in the above.

## Puzzles for Feb. 16.

We chose the Collatz-like Problem 338. Based on experiments, we conjecture that starting with any number leads into a repeating loop…

## Puzzles for Feb. 2

We looked at three puzzles, and chose Problem 346. After some experiments, we conjectured that the only square in the list is 9, and tried expressing numbers like $88889$ in several different ways, starting from $999=10^4-1$.