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New posts in uniform-continuity
How do I prove a uniformly continuous function preserves Cauchy sequences?
real-analysis
uniform-continuity
cauchy-sequences
If $f$ is continuous & $\lim_{|x|\to {\infty}}f(x)=0$ then $f$ is uniformly continuous or NOT?
real-analysis
limits
metric-spaces
continuity
uniform-continuity
If nonnegative $f: [0,1] \rightarrow \mathbb{R}$ has a continuous $f''$, then $\int_0^1 \Big| \frac{f''(x)}{f(x)} \Big| \,dx >4$
real-analysis
integration
derivatives
continuity
uniform-continuity
do the uniformly continuous functions to the reals determine the uniformity?
general-topology
uniform-continuity
uniform-spaces
Uniform Continuity of $x \sin x$
real-analysis
uniform-continuity
If $f(x+1/n)$ converges to a continuous function $f(x)$ uniformly on $\mathbb{R}$, is $f(x)$ necessarily uniformly continuous?
real-analysis
uniform-convergence
uniform-continuity
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
real-analysis
derivatives
uniform-continuity
Is a bounded and continuous function uniformly continuous?
real-analysis
examples-counterexamples
uniform-continuity
composition of two uniformly continuous functions.
real-analysis
continuity
uniform-continuity
function-and-relation-composition
Uniformly continuous function on totally bounded subset of complete metric space
real-analysis
continuity
metric-spaces
uniform-continuity
complete-spaces
Show that function $f$ has a continuous extension to $[a,b]$ iff $f$ is uniformly continuous on $(a,b)$
real-analysis
continuity
uniform-continuity
cauchy-sequences
Connected unbounded sets $S\subset \Bbb{R}^n$ such that $x\mapsto ||x||^t$ is uniformly continuous on $S$?
real-analysis
analytic-geometry
parametric
uniform-continuity
Show that there are $ a,b \geq 0 $ so that $ |f(x)| \leq ax+b, \forall x \geq 0.$
real-analysis
analysis
continuity
uniform-continuity
product of two uniformly continuous functions is uniformly continuous
real-analysis
uniform-continuity
two functions are uniformly continuous on some interval I and each is bounded on I then their product is also uniformly continuous on I . [closed]
uniform-continuity
Every uniformly continuous real function has at most linear growth at infinity
real-analysis
continuity
asymptotics
uniform-continuity
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
real-analysis
uniform-continuity
Convolution is uniformly continuous and bounded
continuity
convolution
uniform-continuity
Why if $f'$ is unbounded, then $f$ isn't uniformly continuous?
real-analysis
analysis
uniform-continuity
A uniformly continuous function maps bounded set to bounded sets
real-analysis
proof-verification
continuity
uniform-continuity
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