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New posts in uniform-continuity
Prove that a function whose derivative is bounded is uniformly continuous.
real-analysis
uniform-continuity
Show for $f:A \to Y$ uniformly continuous exists a unique extension to $\overline{A}$, which is uniformly continuous
metric-spaces
continuity
uniform-continuity
Is a Cauchy sequence - preserving (continuous) function is (uniformly) continuous?
analysis
metric-spaces
continuity
uniform-continuity
cauchy-sequences
Is a right-continuous function on a compact space even "uniformly right-continuous"?
real-analysis
functional-analysis
continuity
uniform-continuity
stochastic-analysis
A function vanishing at infinity is uniformly continuous
calculus
real-analysis
continuity
uniform-continuity
If $f,g$ are uniformly continuous prove $f+g$ is uniformly continuous but $fg$ and $\dfrac{f}{g}$ are not
real-analysis
proof-verification
continuity
epsilon-delta
uniform-continuity
Uniform continuity, uniform convergence, and translation
real-analysis
uniform-convergence
uniform-continuity
Uniform continuity on (0,1) implies boundedness [closed]
real-analysis
analysis
uniform-continuity
Prove that the function$\ f(x)=\sin(x^2)$ is not uniformly continuous on the domain $\mathbb{R}$.
real-analysis
continuity
uniform-continuity
What is the geometrical difference between continuity and uniform continuity?
real-analysis
continuity
uniform-continuity
A game with $\delta$, $\epsilon$ and uniform continuity.
real-analysis
continuity
solution-verification
uniform-continuity
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$
real-analysis
uniform-continuity
How do I show that all continuous periodic functions are bounded and uniform continuous?
real-analysis
continuity
uniform-continuity
periodic-functions
Is the distance function in a metric space (uniformly) continuous?
general-topology
metric-spaces
continuity
uniform-continuity
What is the intuition behind uniform continuity?
real-analysis
intuition
uniform-continuity
lipschitz-functions
Why did mathematicians introduce the concept of uniform continuity?
real-analysis
general-topology
continuity
uniform-continuity
Is $f(x) = 1/x$ over $[0.1 , 1]$ uniformly continuous but $1/x$ on $(0,1)$ is not?
real-analysis
analysis
continuity
uniform-continuity
How does the existence of a limit imply that a function is uniformly continuous
calculus
real-analysis
limits
uniform-continuity
$\sqrt x$ is uniformly continuous
real-analysis
uniform-continuity
Continuous mapping on a compact metric space is uniformly continuous
real-analysis
general-topology
metric-spaces
uniform-continuity
faq
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