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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: where a and b are complex numbers managed as points in the complex plane. You can click on the points to change the complex values for a and b by moving the points in the plane. The two tables are created as a spread sheet with the entries in the table indicating the complex numbers in the lattice of the domain used to determine the table determined as complex numbers using arithmetic. In this example no complex "function" has been created. Check the box to see the mapping diagram that corresponds to the data in the table. The 3 dimensional mapping diagram is created using the data in the spread sheet. The domain plane is parallel to the target plane and the arrows go from points/complex numbers in the domain to the corresponding points/complex numbers in the target plane.