4 ms·
> In turn, every computable function on the real numbers is a continuous function That doesn't seem right. Consider the function f(x: ℝ) = 1 if x ≥ 0, 0 otherw
by jlokier 1y ago
> In turn, every computable function on the real numbers is a continuous function
That doesn't seem right. Consider the function f(x: ℝ) = 1 if x ≥ 0, 0 otherwise. That's computable but not continuous.
- ogogmad 1y agoThat's uncomputable because equality of real numbers is undecidable. Think infinite strings of digits.