Blog (mostly math)

Claude's Cycles

To read: “Claude’s Cycles” by Knuth. Link to r/math post: Link. Link to the paper: Link. Read more

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Speculation. The “right kind of upskilling” can, effectively all by itself, uplift economies. To study: Report “Upskilling for shared prosperity”. Read more

Hahn-Banach Theorem

Ref: Functional Analysis lectures by Casey Rodriguez. Lecture on the Hahn-Banach theorem. Link to the lecture: Link. Updated: 5/3/26 For a normed space ${ V , }$ let ${ V ^{’} }$ denote ${ V ^{’} = \mathcal{B}(V, K) . }$ Q) Given a general nontrivial normed space ${ V , }$ how large is ${ V ^{’} }$? Is it ${ V ^{’} = \lbrace 0 \rbrace }$... Read more

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How do we know if everything is secretly already determined and unfolds to the T, or if there is randomness in the World? Is randomness an illusion? Does God play dice? Instinctually: Randomness exists in the World. Can we prove it? Read more

Udacity Intro Programming-1 Intro Web Dev

Introduction to Programming Updated: 9/3/26 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{I... Read more