Blog (mostly math)

Institutions

To study: The importance of societal institutions (less exploitative) for a country’s prosperity. Link to the Nobel prize press release: Link. Link to the popular science article: Link. Read more

Investments

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

Post

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

Strong Duality

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

Dual Cones

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