Chapter 10 – Manipulations

Publisher Summary Manipulation is the main command that creates an interface where an expression containing some parameters can easily be studied or animated by adjusting the parameters with controls. The lower-level command dynamic can be used for more special or more advanced cases or for more detailed formatting of the output. Manipulate has two arguments: the expression to be manipulated and the specifications of the parameters. The expression to be manipulated depends on the parameters. The output panel contains a control (e.g., a slider) for each parameter and a content area. The expression can be manipulated with the controls, and the content area shows the current state of the expression. The panel also has two special buttons: the animation button and the utility button. Manipulate is an extremely powerful way to explore how various objects change as one interactively changes one or more parameters.