Table and Mapping Diagram for A Complex Linear Function

First Example of a 3D Mapping Diagram for a Complex Linear Function
Consider the complex linear function: [math]f(z)=a+bz[/math] where [i]a [/i]and [i]b[/i] are complex numbers managed as points in the complex plane. [br][br]You can click on the points to change the complex values for [i]a[/i] and [i]b[/i] by moving the points in the plane.[br]The two tables are created as a spread sheet with the entries in the [math]z=a+bi[/math] table indicating the complex numbers in the lattice of the domain used to determine the [i][math]w=f(z)[/math] [/i]table determined as complex numbers using arithmetic. [br]In this example no complex "function" has been created.[br]Check the box to see the mapping diagram that corresponds to the data in the table. [br]The 3 dimensional mapping diagram is created using the data in the spread sheet.[br]The domain plane is parallel to the target plane and the arrows go from points/complex numbers [math]z[/math] in the domain to the corresponding points/complex numbers [math]w=f(z)[/math] in the target plane.

Information: Table and Mapping Diagram for A Complex Linear Function