WRITING & NOTES
Things I’ve learned by
trying them myself.
Notes about systems programming, C++ experiments, and mathematical ideas that are enjoyable to understand.
SYSTEMS / C++
timer
→queue
→dispatcher
→workers
One Alarm Clock, Many Jobs
The complete walkthrough of my C++ timer dispatcher, including Unix signals, self-pipes, deadlines, worker pools and correctness concerns.
Read the full article ↗ MATHEMATICS / INTUITION0 + 1 + 0 + 1
Four Consecutive Squares
Why a simple remainder modulo four rules out every nontrivial perfect power. An intuition-first adaptation of a question from Quora.
Read the insight ↗ MATHEMATICS / SHORT NOTEn² ≡ 1
Why Odd Squares Behave So Predictably
A short explanation of how the parity of consecutive numbers gives a useful test for impossible squares.
Read the note ↗ MATHEMATICS / NUMBER THEORY2n = k(2a+k−1)
The Hidden Factorization Behind Consecutive Sums
A curious problem about distinct residues turns into a question about triangular numbers, odd divisors and why powers of two behave differently.
Explore the idea ↗