Dec 14, 2025 · Both discrete and continuous variables generally do have changing values—and a discrete variable can vary continuously with time. I am quite aware that discrete variables are those …

Mar 4, 2026 · I was trying to formalize some things about string motion in physics so I could answer more general questions about it and then I got to a point as to see the limit written below. I then …

Dec 11, 2019 · are you talking about - a continuous function over a closed interval is uniformly continuous. then how should we generalize this over R

Jan 15, 2021 · I think since we can apply Jensen's inequality in the continuous case, we can still argue that the continuous case holds. Nevertheless, I cannot find any mention of Gibbs' inequality in the …

The space of bounded continuous functions is not separable Ask Question Asked 13 years, 4 months ago Modified 3 months ago

Jan 30, 2024 · Can a discontinuous function have a continuous derivative? Ask Question Asked 2 years, 2 months ago Modified 2 years, 2 months ago

Mar 7, 2013 · 22 I am self-studying general topology, and I am curious about the definition of the continuous function. I know that the definition derives from calculus, but why do we define it like …

Jul 10, 2017 · Existence of continuous sections of a continuous open surjection. Ask Question Asked 8 years, 9 months ago Modified 8 years, 9 months ago

Jul 27, 2024 · In fact, it turns out that every continuous function from a path connected space to $\mathbb R$ is a quotient map Note that the closed map lemma cannot be generalised, for example …

May 11, 2017 · Is there exist continuous function from $\mathbb {Q}$ to $\mathbb {R}$? if such continuous function exist and contain more than one point then by intermediate value theorem …