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Posts In #maths

On Eigenvalues, Homotopy, and Root Loci

Sep 5 2025 · 5 min read
#analysis #maths #linear_algebra

Consider an $$n+1$$ dimensional matrix as follows:

$$ A = \begin{pmatrix} \frac{\pi^2}{6} & 1 & \frac{1}{4} & ... & \frac{1}{n^2} \\ 1 & \frac{\pi^2}{6} & \frac{1}{4} & ... & \frac{1}{n^2} \\ \vdots & …

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MLP Approximation

Sep 12 2019 · 2 min read
#ml #maths #analysis

Almost always we hear about classification or machine learning problems, the go-to methods to solve the problem are neural networks, or multi-layered percetrons (MLP). Now function approximation …

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Real Analysis Notes

Aug 24 2019 · 1 min read
#maths #analysis

When I took the course on Real Analysis, it made me very nervous. I was having fever dreams from the past when I took undergraduate real analysis and the epsilon-delta definitions just did not make a …

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But why is Compactness important?

Aug 15 2019 · 3 min read
#maths #real analysis #compactness

In my last post I touched upon the intuition behind topological compactness. We as engineers often hear about the word ‘compact’ as a soft gatekeeping tool from doing serious …

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Compactness

Aug 10 2019 · 3 min read
#maths #real analysis #compactness

This is a non-mathematical note on what I understand about compactness and what it means for a set or a space to be compact. The open cover definition is one that can be found in any textbook, but …

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Point Estimation Problem

Jul 24 2019 · 5 min read
#maths #statistics

It might seem out of place that in the world of big data, finding a singular parameter’s estimate could be interesting. Quite the contrary – point estimation problems are one of the most …

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