Complex Mapping [math]f(z)=\frac{1}{z}[/math]. The points [math]z_1[/math] and [math]z_2[/math] are defined on the horizontal and vertical segments, respectively.[br] [br]Notice the behaviour of [math]w_1=f(z_1)=\frac{1}{z_1}[/math] and [math]w_2=f(z_2)=\frac{1}{z_2}[/math] when [math]z_1[/math] and [math]z_2[/math] are moved.

To move [math]z_1[/math] and [math]z_2[/math] simultaneously click on the Animate button. Drag the Sliders to observe what happens to both graphs.