Derivation for the Wallis Formula for pi

I’m doing a research project in the School of Physics at Monash University, looking at whether is really found in quantum mechanics, which was suggested by a paper published in 2015 where they presented a quantum mechanical derivation of the Wallis product....

The Basis Theorem

Not going to go into too much detail about it, instead we will jump straight into the proof. But just so you know what your dealing with, the theorem says that if and are continuous on some interval then: there are two linearly independent solutions () to and that if...

Wronskian Theorem

Firstly let us define what this Wronskian thing is. Say you have 2 solutions to a second order homogenous equation, this is an important point, they have to be solutions to a second order homogeneous equation. Just a reminder, this is what a second order homogeneous...

Intoduction

I’m Anthony Salib, a student at Monash University Australia and studying physics and maths. This blog is going to highlight somethings that are find interesting, or useful!