by Anthony Salib | Dec 28, 2018 | Problem Solving, Pure Maths
I recently learnt a really neat trick when it comes to proving two quantities are equivalent. It started of with my supervisor claiming that for some and , (1) is obvious. To me, it was not obvious at all, and may not be so obvious to you either. But what my...
by Anthony Salib | Dec 16, 2018 | Problem Solving
EDIT: So I started the blogging marathon, “One a day”, in the original post a bit too soon. I’ll keep you posted on when it will actually begin. I am currently in China doing a lot of nice work on the wave equation, can’t wait to tell you all...
by Anthony Salib | Dec 6, 2018 | General Relativity, Pure Maths
EDIT 7/1/2019: The proof for each finite subset of a Hausdorff space is closed is corrected. Before I begin, as stated in my articles section, I said I am going to start writing about all the neat maths I’ve learnt throughout my final year project in physics, in...
by Anthony Salib | Oct 12, 2018 | Physics
So last week, I presented a talk on the Cauchy Problem in General relativity, at the science student research showcase run by my university. Today I wanted to do a brief overview of the problem and the developments made in it since Einstein published his theory of...
by Anthony Salib | Aug 22, 2018 | Physics, Pure Maths
You’ve probably heard the word ‘tensor’ before, but if you’re like me, you’ve gone through your entire physics degree without knowing what they are. So today, I’m going to express the relativistic wave equation in the language of...
by Anthony Salib | May 28, 2018 | Pure Maths
So these spaces are really interesting, but super duper hard to get your head around. So in this blog, I hope to make there equivalent definitions a little bit easier to understand. I’m going to present 3 equivalent definitions of the n-dimensional real projective...
by Anthony Salib | Apr 22, 2018 | Physics
A not so long time ago in a classroom not too far away, we arrived eagerly for our 9am, (in fact me and my friend Ivan, check him out at ivanbegic.wordpress.com, got there at 6am, back to the story), we arrived eagerly for our next encounter with the one and only...
by Anthony Salib | Apr 1, 2018 | Physics
So, if you ever want to undertake a physics major at Monash University, you will probably want to learn some theoretical physics. Although, the title will lure you, you will enviably have to face the one and only Csaba Balazs, figure 1 below. Now, the man is a bit of...
by Anthony Salib | Dec 12, 2017 | Uncategorized
In a direct proof we deal with If P then Q types of statements, more formally known as conditionals. An example of a conditional, is “If n is an odd integer, then n^2 is odd.” However, it might not be worded like this, it could have been, “The square...
by Anthony Salib | Nov 28, 2017 | Pure Maths
We have alas reached the final leg of our journey, we will continue with the idea of a normed vector space and then we will describe Banach spaces and Hilbert spaces. Associated with the norm on our vector space , is the metric So is endowed with a...
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