Ref: “The simple path to wealth” by Collins. Link to a talk: Link. Link to blog post: Link. ROUGH NOTES (!) Updated: 11/11/25 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 - 1 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 again explains Their existence? If yes, I hope They are happy. 2) Human history is effectively observe and exploit. We lack many fundamental understandings. 3) Speculation. Love for God simplifies life. 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