Before revision: When the inputs are multi-dimensional, we could say that the system takes the form ; however, we can generalize this equation to a general form where is the output of the function , belongs to the set of computable functions, and is an input vector.
After revision: When the inputs are multi-dimensional, we could say that the system takes the form ; however, we can generalize this equation to a general form where is the result of the system's execution , belongs to the set of computable functions, and is an input vector.