Explores building complex functions from real parts, focusing on inverse trig functions, branch cuts, and verifying equations with Python.
Explains how circular and hyperbolic functions relate through rotation, showing identities like cosh(z)=cos(iz).
A technical exploration solving Langley's Adventitious Angles geometry problem using algebraic field extensions and complex numbers.
Explores the concept of signed zero in IEEE-754 floats, its mathematical implications, and a real-world issue with complex number discontinuities in Qiskit.
A technical exploration of creating interactive Newton fractals using WebGL and GPU shaders, inspired by a 3Blue1Brown video.
Explores how multiple dispatch in Julia enables mathematically correct code, using complex number division as a key example.
