Happy New Year everyone! You probably know what a factorial is. $$n!=n \left(n-1\right)\left(n-2\right)\left(n-3\right)\times3\times2\times1$$ Or, if you like calculus: $$x!=\int_{0}^{\infty} t^x{e^{-t}} dt$$ Like, for example, 8!…
Hello, and welcome back, and today we’re going to be pausing our discussion of Pascal’s triangle temporarily, and discussing some proof writing! (Don’t worry, this…
Hello, and welcome to the 3rd episode in this 5 part series! In this blog we will be formally writing the Hockey-stick Principle showcased in…
The Recamán Sequence might look like a jumble of numbers at first glance. But then it becomes clear. THE BIG PICTURE The 0th term is…
Austrian physicist Erwin Schrödinger is one of the founders of quantum mechanics. In 1935, he posed this problem: imagine you take a cat and place it in a sealed box along with a radioactive device that had a 50% chance of killing the cat. In an hour, is the cat dead or alive? What do you think?
Hello everyone! Welcome back to my blog series on Pascal’s Triangle. Today we will be looking at the first pattern covered in the last blog–triangular…
In this blog, we discus some of the more basic properties in Pascal’s triangle, and lay a foundation for the future blogs in this series!
Hi everyone! Today I am going to talk about the Fibonacci sequence and where it appears in nature.
The pinnacle of this series of modular arithmetic, we prove a theorem that ties everything together!
In the penultimate episode of modular arithmetic, we discuss the relation between inverses, and multiplication tables, and set the scene for part 5!