English
Applied mathematics
Notes on how mathematical methods work in practice — optimization, probability, numerical analysis, and modeling. Concrete problems, clean reasoning, and honest explanation of where theory meets reality. Covering techniques that actually show up in engineering, data science, and computational work. Each post breaks down a specific idea or method, with focus on intuition and application over formalism.


In the 1960s, Sakharov proposed that the early, dense Universe oscillated like an elastic medium. Gravity pulled overdensities inward, while…
The normal distribution appears everywhere: human height, measurement errors in experiments, noise in sensors and communication channels, manufacturing tolerances, survey…

Opera singing seems like the pinnacle of artistic expression. But what exactly makes a voice "great"? Brightness? Volume? Vibrato?

If you think freedom is a philosophical concept, take a moment to look at mathematics. And then at biology.
Negotiations are not just the art of persuasion — they are also mathematics. To find a fair and stable compromise,…
