In this project, we explore a graph theoretic approacl to construct at free set of generators of a free subgropup and include an implemetation of the algorithm. The project won the 2nd Place at the 2023 NJ STEM Fair.

In this Prime Time Theorem, we pose a question that everyone has thought about deeply: If you stood in the center of a mathematical orchard, how far out would you be able to see without your line of sight being blocked by a tree?

Let's play a game. The game consists of a row of 17+7 coins that all start face-up. Each turn involves flipping between one and seven coins so that the leftmost coin goes from heads to tail. You lose if there are no legal moves. Find the winning strategy.

Ari taught us that if we can’t solve a problem, make a harder one. So I am going to prove the general case for any function f that is convex on an interval (Assume for this problem that the function is convex everywhere, since that is true for logarithms).

Vesneeten is the island home to a rare breed of dragons who have either blue or green eyes. These dragons live harmoniously, but are highly superstitious, and are afraid of having green eyes. If a dragon ever finds out it has green eyes, it will throw itself into a volcano at noon the next day.

Prove the upper bound of a linear combination of 3 integer variables each with its own upper bound. Hope you enjoy the elegance of the proof.

Beautiful and accessible math in all browsers - MathJax is a JavaScript display engine for mathematics that works in all browsers. No more setup for readers. It just works. MathJax is highly modular on input and output. Use MathML, TeX, and ASCIImath as input and produce HTML+CSS, SVG, or MathML as output. To my surprise, setting it up with Squarespace is straightforward.