by Anthony Salib | Aug 3, 2017 | Pure Maths
Some things are just too hard to prove directly, so in this case, we may need to take a more indirect route. One way in which to do this is a proof by contradiction, whereby we assume something, then do some logical deductions which (hopefully) produce some sort of...
by Anthony Salib | Aug 1, 2017 | Physics
The Curl of a vector field is defined to be The curl is a measure of the vorticity, or “swirliness”, of the vector field. So imagine that describes some fluid and has the vector field plotted below. Now this field shows that the fluid is...
by Anthony Salib | Jul 13, 2017 | Pure Maths
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....
by Anthony Salib | Jul 13, 2017 | Pure Maths
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...
by Anthony Salib | Jul 12, 2017 | Pure Maths
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...
by Anthony Salib | Jul 9, 2017 | Uncategorized
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!
Recent Comments