If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the ...

Conjugate Functions for Engineers: a Simple Exposition of the Schwarz-Christoffel Transformation applied to the Solution of Problems involving Two-Dimensional Fields of Force and Flux.