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Posts In #analysis

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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