3 ms·
I'm not sure it is all that interesting of a distinction seeing as non-continuous functions can be approximated by continuous ones (basically the entire premise
by nightski 3y ago
I'm not sure it is all that interesting of a distinction seeing as non-continuous functions can be approximated by continuous ones (basically the entire premise of a digital computer).
- simiones 3y agoI don't think this is right at all. Digital computers express non-continuous functions, and they sometimes use those to approximate continuous functions. For example, for a function f(x) defined on R with f(x) = -x if x < 0 and f(x) = 7+x if x >= 0, how would you approximate it by a continuous function g(x) with precision lower than, say, 1 (i.e. |f(x) - g(x)| < 1 for any x in R)? And of course, there are functions with much worse discontinuities than this.
- IshKebab 3y agoHe was talking about the actual signals in chips being continuous I believe.