by Anthony Salib | Aug 3, 2017 | Pure Maths
Firstly, let’s consider what it means to have a sequence of functions by looking closely at All this is saying is that our sequence is going of to infinity. But this is just boring though, what we want to know is what happens when I go to infinity?...
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 | 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...
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