Ref: “The simple path to wealth” by Collins. Link to a talk: Link. Link to blog post: Link. ROUGH NOTES (!) Updated: 20/11/25 Money is valuable. Money brings you freedom. Note that work can be enjoyable when you aren’t effectively a slave to it. Avoid debt. Spend less than you earn - invest the surplus - avoid debt. A mutual fund is a ... Read more 11 Nov 2025 - 2 minute read
Speculation. Limited by language, lack of knowledge, etc. 1) Is there a central cause for the World? If yes, They are God. If yes, what are Their characteristics? If yes, what again explains Their existence? 2) Human history is effectively observe and exploit. We lack many fundamental understandings. Read more 08 Nov 2025 - less than 1 minute read
Updated: 27/10/25 Ref: “Foundations of Applied Mathematics, Vol 2” by Humpherys, Jarvis, Evans. Consider the optimization problem \[{ {\begin{aligned} \text{minimize} \quad &\, f(x) \\ \text{subject to} \quad &\, g _1 (x) \leq 0, \\ &\, \quad \vdots \\ &\, g _m (x) \leq 0 \end{aligned}} }\] where ${ f ,}$ ${ g _i }$s are co... Read more 26 Oct 2025 - 7 minute read
Ref: “Convex Optimization” by Boyd, Vandenberghe. “Convex Optimization” by Boyd. Lecture-2. Link to lecture: Lecture. [Dual cones] Note that cones induce inequalities. Link to Stackexchange post: Link. Consider ${ \mathbb{R} ^n . }$ Let ${ K \subseteq \mathbb{R} ^n }$ be a cone. Consider the dual space \[{ (\mathbb{R} ^n)^{\ast} := \l... Read more 23 Oct 2025 - 3 minute read
Updated: 21/10/25 Ref: “Introduction to Mathematical Statistics” by Hogg, McKean, Craig. “Statistics for Mathematicians” by Panaretos. [Hypothesis Testing] Consider a random variable ${ X }$ with density ${ f(x; \theta) , }$ ${ \theta \in \Omega . }$ Suppose we think ${ \theta \in \Omega _0 }$ or ${ \theta \in \Omega _1 , }$ where ${ \... Read more 20 Oct 2025 - 6 minute read