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Questions Tagged with "continuity"

Explore solved questions tagged with "continuity" or help others by answering their unsolved questions related to "continuity".

Prove that the functional in $C_c^0(Omega)$ is a Radon measure

1 answer

Mathematics Asked 2 years ago

A sequence $f_n to f$ uniformly on $(0,1)$ where $f, f_n in C([0,1])$ implies $f_n(0) to f(0)$, $f_n(1) to f(1)$.

0 answer

Mathematics Asked 2 years ago by CyCeez

Example of absolutely continuous function $f$ with $sqrt{f}$ not absolutely continuous

2 answer

Mathematics Asked 2 years ago

If $x$ is a fixed point of a continuous function $f$, there is an open neighborhood $N$ of $x$ with $f(N)subseteq N$

1 answer

Mathematics Asked 2 years ago

Topological proof that a continuous injective real function on an interval has a continuous inverse

3 answer

Mathematics Asked 3 years ago

Is there a simple-ish function for modeling seasonal changes to day/night duration and height of the sun?

3 answer

Mathematics Asked 3 years ago by SaganRitual

Simple proof there is no continuous bijection from $mathbb{R}^n$ onto $[0,1]^m$

1 answer

Mathematics Asked 3 years ago by Cronus

Proving that $f + g, f cdot g$, and $f/g$ are continuous using neighborhoods

1 answer

Mathematics Asked 3 years ago

Discussion of continuous functions in topology

2 answer

Mathematics Asked 3 years ago

Why does Kira pronounce Bajor differently?

1 answer

Science Fiction & Fantasy Asked 3 years ago

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