Diiv.io

Math proofs • Algorithms • Discrete Math & Prob Theory • Real and Complex Analysis • Linear and Abstract Algebra • Computer Science Topics • Stochastic Processes • Information Theory • Signal Processing & Linear Systems Theory • Distributed Software Systems • GPU Programming

Welcome — This site is a hybrid notebook/blog where I write about:

• Proofs & math notes (rigorous but readable and I try to build intuition via various approaches)
• Algorithms & data structures (with implementations and complexity and correctness analysis/proof)
• Distributed Systems Software Engineering (Examples include Cassandra, Kafka, Solr/ElasticSearch using Lucene)
• Visualizations (interactive where possible)
• General Blogging

My full time job always comes first and is my main love and passion so this site will have slow updates due to that. But when I do update I will make sure to only publish content that I feel is of solid quality.

Note: I will not be using AI to generate any actual math/algorithm/engineering content. See my About page on why.

A Brief Description of the Various Site Links

📐 Proofs

All proofs of various theorems, lemmas, and algorithm correctness or complexity analysis will be here. → Go to Proofs

📚 Math Notes

Topic and Lesson pages that describe, explain, or teach various concepts or interesting math or engineering problems.
→ Go to Math Notes

💻 Algorithms

Concept + implementation + complexity, often with diagrams/visuals.
→ Go to Algorithms

☁️ Systems (Distributed Systems)

Engineering notes: architecture, performance, correctness, etc etc.
→ Go to Systems

📊 Visualizations

All visualizations (Plotly, JS, dashboards, etc) will be here. → Go to Visualizations

✍️ Blog

Long-form thoughts not necessarily related to Math or Engineering → Go to Blog