Blog (mostly math)

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Speculation: Your mental reactions are a form of mental currency. Read more

Entropy as Average Doubt

[Doubt of an event] Consider a setup where various events are assigned various probabilities. For an event ${ E , }$ let ${ \mathbb{P}(E) }$ denote the probability of occurence of ${ E , }$ a measure of certainity of ${ E }$ occuring. Suppose we want to assign to each event ${ E, }$ a measure of doubt of ${ E }$ occuring, ${ \text{Doubt}(E) \... Read more

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“In mathematics you don’t understand things. You just get used to them.” - Von Neumann. It seems the same holds for everything. Read more

Laplacian in Spherical Coordinates

[This is a brute-force way to compute the Laplacian in spherical coordinates.] Refs: “Advanced Engineering Mathematics” by Kreyszig. Youtube video: “Converting the Laplacian to Spherical Coords” by Todd Yilk. Link to the video: Link. [Spherical Coordinates] Recall Spherical Coordinates Note that spherical to c... Read more

UW ML-1 Case Studies

Ref: Coursera - University of Washington Machine Learning Course. Link to the course: Link. ROUGH NOTES (!) Updated: 7/6/26 MACHINE LEARNING We will consider MACHINE LEARNING: CASE STUDIES [Machine learning is changing the world] Old view of ML Data -> ML Algorithm -> “My curve is better than your curve” -> Write a paper. Int... Read more