From Math Images A deterministic system is a system where an
initial state completely determine the system's future states.
Thus, there is no randomness in producing the future states. If
a deterministic system is given some initial inputs, the model
will produce the same states every time. A very simple example
would be a position function: where x(t) is the position at any
given time, v is the velocity, t is time, and is the initial
position. Given initial input values v and , we can exactly
predict the position of at any time in the future or the past. A
non-deterministic system is a system where a single set of
inputs can produce multiple outputs; randomness determines
future states. If a non-deterministic system is given some
initial inputs, the model will produce a different state for
each run. Throwing a dice and recording the number it lands on
is a non-deterministic system. If the dice is thrown, we will
not be able to predict its outcome. If it has been thrown five
times and landed on 6 every time,