Blog (mostly math)

Absolute Convergence

Ref: “Introduction to Hilbert Spaces” by Debnath, Mikusinski. Note that in ${ \mathbb{R} , }$ convergence of ${ \sum _{j = 1} ^{\infty} \vert x _j \vert }$ implies convergence of ${ \sum _{j = 1} ^{\infty} x _j . }$ Q) What are the normed spaces in which convergence of ${ \sum _{j = 1} ^{\infty} \lVert x _j \rVert }$ implies convergence of ${ ... Read more

Business-1 Microeconomics

Ref: UPenn Coursera courses on Business. Link to UPenn Coursera page: Link. ROUGH NOTES (!) Updated: 30/1/26 Link to UPenn MBA curriculum: Link. Course-1: Microeconomics Link to Coursera courses: Link, Link. Course-1a. Microeconomics: The power of markets Instructor: Prof. Rebecca Stein. Sections for 1a: Opportunity cost; Scarcity; T... Read more

Post

Life is the most interesting manifestation of matter. Why did matter organise into life? Read more

Nand2Tetris

Link to the Courses: Link, Link. Ref: “The Elements of Computing Systems: Building a Modern Computer from First Principles” by Nisan, Schocken. ROUGH NOTES (!) Updated: 7/12/25 Read more

Programming Basics

Ref: Courses “Fundamentals of Computer Science”. IIT Bombay. Link to the courses: Link. ROUGH NOTES (!) Updated: 2/12/25 \[{ \underline{\textbf{Course-1: Programming Basics}} }\] Read more