Prove that the function f(x) = ax +b is uniformly continuous in R
57180
Techniques to prove a function is uniformly continuous
98772
Continuity of a function in $\mathbb{R}$
41847
Uniformly continuous function with unbounded variation
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
60070
Unique uniformly continuous function into complete space
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
100740
proof of that a continuous function has a fixed point
127449
Uniform continuous of $f(x,y) = \sin(x^2+y)$
143695
Is an increasing, bounded and continuous function on $[a,+\infty)$ uniformly continuous?
153271
Fourier transform is uniformly continuous
47419
Asymptotics of uniformly continuous functions over $\mathbb R$
15579
Show that $f$ is uniformly continuous if limit exists
3772
About the continuity of the function $f(x) = \sum\limits_k2^{-k}\mathbf 1_{q_k \leq x}$
117419
Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
15914
Prove that any polynomial function is continuous
158567
A uniform continuous function which is not Hölder continuous
56567
Prove or disprove the uniform continuity of $f: \mathbb{C} \to \mathbb{C}, z \mapsto f(z)=\frac{z^2}{1+|z|}$