@noxypaws In the case of programming, "Big O" is mostly adopting existing math terms because they fit, but a lot of the complex 'Big O math-theory' stuff doesn't actually help.
It really is as simple as my first toot, there's literally nothing more to it when discussing algo complexity.
http://bigocheatsheet.com/ is the 'building block' list for low-level algo components including storage to pick-and-choose.