by Anthony Salib | Sep 30, 2020 | Problem Solving, Pure Maths

So this problem comes from the functional analysis course I took last semester. Although simple, I thought was pretty cool. In the actual exercise they had broken it down into three parts, which I did not show in the problem post. Here I will show the steps as claims....
by Anthony Salib | Sep 22, 2020 | Problem Solving, Pure Maths

Supposed that satisfies for all . Prove that...
by Anthony Salib | Sep 22, 2020 | Problem Solving, Pure Maths

So once again, WordPress doesn’t like my Latex, so I have attached this blog as a pdf. Enjoy! PrbWk2Download
by Anthony Salib | Aug 23, 2020 | Problem Solving, Pure Maths

This one is simple! Why is called...
by Anthony Salib | Aug 16, 2020 | Problem Solving

So this problem is in line with the post of this week, Baire’s Lemma. Have a go and let me know your thoughts in the comments! Let be unbounded and open. Then let the set Prove that is dense in...
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...
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