I think this page could get by with a lot fewer words. You seem to say each statement more than once, but don't really vary how you say it.
Instead of "A deterministic system is a system where the inputs completely determine the system's future states; there is no randomness in producing the future state. If a deterministic system is given some initial inputs, the model will produce the same states every time."
I might say "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."
I also think you can cut out the last sentence.
Why initial inputs A AND B? I think you just want "given the same initial input you get the same output--no chance involved" or something.
I actually don't feel like this page needs a whole lot of rigorous mathematics, particularly if it will just be used as a helper page.