Speculation. How did we learn as infants? We learn by a combination of: innate curiosity, innate drives, mimicking the people around us. We do the same as adults at a subconscious level. Eg: The concept of an anthropomorphic god can be a useful mental device. Eg: Cat raised by pitbulls. Link. Read more 14 Sep 2025 - less than 1 minute read
Ref: “On the similarity of the Entropy Power Inequality and the Brunn Minkowski inequality” by Costa, Cover. “The Convolution Inequality for Entropy Powers” by Blachman. “Simple Proof of the Concavity of the Entropy Power with respect to added Gaussian Noise” by Dembo. “Stochastic Models, Information Theory, and Lie Groups, Vol 1” by Ch... Read more 24 Jul 2025 - 13 minute read
Ref: Marc van Leeuwen’s answer here: Link. Let ${ E }$ be an ${ n }$ dimensional Euclidean space. What are the origin and distance preserving maps ${ f : E \longrightarrow E }$? Obs: Let ${ E }$ be an ${ n }$ dimensional Euclidean space. Let ${ f : E \longrightarrow E . }$ Then the following are equivalent: ${ \lVert f(x) - f(y) \rVe... Read more 16 Jun 2025 - 7 minute read
Link to Courses: Link. ROUGH NOTES (!) Updated: 4/4/25 The Milky Way Galaxy. Read more 03 Apr 2025 - less than 1 minute read
Link to Course: Link. ROUGH NOTES (!) Updated: 5/4/25 Week 0. Scratch. What is Computer Science? Computer Science is the study of information. How we represent it, and how we process it. What is Problem Solving? \[{ \text{Input} \to \blacksquare \to \text{Output}. }\] Can we represent the inputs and outputs? Eg: Consider counting, repr... Read more 01 Apr 2025 - 7 minute read