👉 In mathematics, a pregracile is a type of complex number that is defined by its magnitude and phase. The magnitude of a complex number z = x + iy is |z| = √(x^2 + y^2), where (x, y) are the real and imaginary parts respectively. The phase angle ϕ is given by 2π - tan^-1(y/x). A pregracile is a type of complex number that has both positive and negative