\[{ \Large \boxed{ {\begin{aligned} &\textbf{IMAGINAL ACTS} \\ &\textbf{influence the mind.} \end{aligned}} } }\] Read more 07 Apr 2026 - less than 1 minute read
Ref: Coursera - BITS Computer Science Courses. Link to Coursera - BITS page: Link. Link to Coursera - BITS BSc CS page: Link Introduction to Programming Link to the course page: Link. [Course Introduction] We will use the C language. Read more 07 Apr 2026 - less than 1 minute read
Introduction to Programming Updated: 7/4/26 Link to Udacity subscription: Link. Link to Udacity course: Link. All rights of the (often wonderful) images found in these notes go to Udacity unless explicitly noted. We will learn the foundations of four of the most popular languages: HTML, CSS, Javascript, and Python. \[{ \underline{\textbf{I... Read more 01 Apr 2026 - 25 minute read
[Link to Stackexchange post: Link] Ref: “A Course of Pure Mathematics” by Hardy. [Product to Sum] Note that computing sums is easier than computing products. Can we have a nice bijective function ${ f : (0, \infty) \to \mathbb{R} }$ such that equations “${ x y = z }$” in ${ (0, \infty) }$ give equations “${ f(x) + f(y) = f(z) }$” in ${ \... Read more 29 Mar 2026 - 5 minute read
Ref: “A simple proof that ${ \pi }$ is irrational” by Niven. Link to paper: Link. Math StackExchange posts here, here. Updated: 15/3/26 Belated Happy ${ \pi }$ Day! [Inner product of a polynomial with ${ \sin(x) }$] Let ${ P(x) }$ be a polynomial. Note that \[{ \small {\begin{aligned} &\, \underline{\int P(x) \si... Read more 15 Mar 2026 - 2 minute read