Blog (mostly math)

Lebesgue Integral

Ref: “Introduction to Hilbert Spaces” by Debnath, Mikusinski. Link to James Cook’s video lectures: Link. ROUGH NOTES (!) Updated: 4/2/26 \[{ \underline{\textbf{Lebesgue Integral}} }\] Sections: Read more

CS-1 DSA-1

Ref: CU Boulder Coursera courses on Computer Science. Link to CU Boulder Coursera page: Link. ROUGH NOTES (!) Updated: 29/1/26 Course-1. DSA-1. Algorithms for Searching, Sorting, Indexing. Link to Coursera course: Link Read more

Business-2 Finance-1

Ref: UPenn Coursera courses on Business. Link to UPenn Coursera page: Link. Link to UPenn MBA curriculum: Link. Link to UPenn Finance courses: Link. ROUGH NOTES (!) Updated: 16/2/26 Course-1: Introduction to Finance Instructor: Prof. Jessica Wachter. Sections: Net Present Value; Fixed Income Valuation; Equity Valuation; NPV vs IRR; T... Read more

AI-1 Data Analytics

Ref: Deeplearning.ai Coursera courses on Machine Learning. Link to Deeplearning.ai Coursera page: Link. Link to Stanford AI curriculum: Link. ROUGH NOTES (!) Updated: 16/2/26 Data Analytics Specialization Link to Data Analytics Courses: Link. Read more

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