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“A system which is affected by input and generates output accordingly.”
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Simulation
“A self-sufficient set of interconnected systems composed of rules.”
Self-sufficient doesn’t mean that all simulations run forever, but rather that they don’t require user input or management to run their course. The output of the systems is used as future input.
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Interactive simulation
“A self-sufficient set of interconnected systems composed of rules which are affected by user input.”
User input might have a big effect in the simulation or a small one, depends on your design.
Digital Media Definitions 