Tutorial V

This tutorial covers the "Parser" feature of the Dynamical Grapher for Quadratic Maps. This feature can be used to define relations between parameters that have been used to define functions and curves.

1. Curve 1 is a line segment with slope m1 while Curve 2 is a line segment with slope m2.

2. Using the "Parser" textbox we set m1 equal to the parameter "a" and set m2 equal to the negative reciprocal of m1. Before graphing the curves we set a=1 so that we do not crash the parser by making it try to divide by 0.

3. This is the graph of C1 and C2 when a=1. In this case C1 has slope 1 while C2 has slope -1.

4. Here is the sequence of graphs we get by incrementing "a" by .4 several times. Notice that since we set m2 = -1/m1, each pair on line segments remain perpendicular.

This ends Tutorial V.