Ref: “Linear Algebra” by Lax. ROUGH NOTES (!) Updated: 17/3/26 We will study \[{ \boxed{\textbf{Convexity}} }\] \[{ }\] In theorem statements, often the vector spaces considered are finite dimensional. \[{ }\] \[{ \underline{\textbf{Convex Sets}} }\] Def [Line Segment] Let ${ X }$ be a (real) vector space. Let ${ x, y \in X . }$... Read more 15 Mar 2026 - 10 minute read
Esse quam videri. “To be, rather than to seem”. Read more 14 Mar 2026 - less than 1 minute read
Simple and nice recipes: Boiled potatoes and jalapeno mayo. Pan roasted tomatoes. Read more 13 Mar 2026 - less than 1 minute read
[Link to previous post: Link] Ref: “Principles of Analysis” by Junghenn. Let ${ \mathscr{X} }$ and ${ \mathscr{Y} }$ be Banach spaces. Let ${ T : \mathscr{X} \to \mathscr{Y} }$ be a continuous linear bijection. Is the inverse ${ T ^{-1} : \mathscr{Y} \to \mathscr{X} }$ also continuous? Note that continuity of ${ T ^{-1} }$ is equivalent t... Read more 10 Mar 2026 - 6 minute read
Introduction to Programming Updated: 31/3/26 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{... Read more 09 Mar 2026 - 29 minute read