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Thoughts on web development and modern technologies

Topics:Machine Learning·Personal·Computer Science
Unsupervised Clustering Algorithms: k-Means, DBSCAN, and a Comparative Mathematical Analysis

Unsupervised Clustering Algorithms: k-Means, DBSCAN, and a Comparative Mathematical Analysis

Machine LearningFeb 9, 2026

A rigorous mathematical analysis of three major clustering paradigms with formal proofs, complexity bounds, and empirical validation. We prove convergence, NP-hardness, and approximation guarantees.

PersonalJan 30, 2026

The B.DEV: Idea Behind The Signature

Discover the story behind B.DEV — how a personal identity evolved into a professional signature that bridges authenticity with development excellence.

Computer ScienceFeb 20, 2025

The Complexity Frontier: From Big O to P vs NP

A rigorous mathematical exploration of computational limits. We dissect asymptotic growth, formalize complexity classes (P and NP), and confront the exponential wall separating feasible algorithms from the most profound unsolved problem in theoretical computer science.