5. Mathematics


In this section we will address the mathematics necessary for controlling systems of the kind that this new language can describe. Not surprisingly, this language borrows heavily from electrical engineering and logic design theory. We will explore general theories of communication flow, signal processing, and feedback.

In addition, we will discuss computational approaches particularly suited to the creation of individual audio and visual systems. The history of computer graphics "art" contains many examples where the creator is affecting values of the resultant or final mathematical equation without design. Mathematic and algorithmic design can exist in the same breath as artistic design. In the creation of interactive systems, one must develop mathematical models in tandem with the visual/auditory/sensory presentation. These models must remain parameterized, where parameterized is defined as a methodology by which one is able to alter specific predesigned nodes such that an equation can be manipulated to produce expected results. In this way one is able to lessen the effect of the random, the unexpected, or the unexplained. For example, as previously shown in the applications featured above, interactive physics provides characteristics uniquely advantageous for the design and control of performance systems.