This is a demonstration of the complex-valued function [math]g(x) = e^{i\theta x} f(x)[/math]. You can choose different [math]f(x)[/math] to investigate.[br][br]You are looking at the curve [math](x,\Im(g(x)),\Re(g(x)))[/math], over the interval [math](-b,b)[/math]. The variables [math]\alpha[/math] and [math]h[/math] allow you to move your 'camera' around to see this curve from different perspectives.

Try looking at the difference between even and odd functions. What happens if you look at [math]e^{ix} sin{x}[/math]?