Blog (mostly math)

Mechanical Watches

A Blogpost on Mechanical Watches by Bartosz Ciechanowski. Link to the Blogpost: Link. Read more

Entropy from Bayes Theorem

To read: “Maximum entropy from Bayes’ theorem” by Qiaochu Yuan. Link to the blogpost: Link. 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

Post

“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