Determination can mean the process of establishing something exactly by calculation or research as well as the quality of being determined — firmness of purpose.
I think the latter strongly depends on the first, otherwise it would not be determination, but discipline. In other words being determined to achieve something requires the — not always conscious — belief that it can be achieved.
This is very different from pure discipline because determination has a very specific goal that is usually hard to achieve and often not commonly agreed on.
Determination is a means and an end at the same time.