Fast Fourier Transform for Polynomial Multiplication: Theory and Implementation
Complex Number Fundamentals Representations A complex number $z$ admits three canonical forms: Cartesian: $z = a + bi$, where $i^2 = -1$ Polar: $z = r(\cos\theta + i\sin\theta)$, with $r = |z|$ and $\theta = \arg(z)$ Euler: $z = re^{i\theta}$ via Taylor expansion equivalence De Moivre's Theorem For...