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New posts in continuity
Continuous function that take irrationals to rationals and vice-versa. [duplicate]
real-analysis
functions
continuity
If $f$ is continuous on $[0,1]$ and if $\int\limits_{0}^{1} f(x) x^n dx = 0, (n=0,1,2,...)$, prove that $f(x)=0$ on $[0,1]$.
sequences-and-series
analysis
continuity
proof-verification
uniform-continuity
The continuity of the expectation of a continuous stochastic procees
probability
stochastic-processes
continuity
expectation
Constructing a strictly increasing function with zero derivatives
measure-theory
continuity
How to show that $x^{1/n}$ is uniformly continuous
real-analysis
continuity
proof-explanation
uniform-continuity
pointwise limit on a complete metric space
general-topology
functional-analysis
metric-spaces
continuity
Are "locally continuous" functions continuous?
general-topology
continuity
How to remove my Mac from iPhone call audio routing list?
macos
ios
audio
call
continuity
Dini's continuity vs Holder continuity
analysis
continuity
examples-counterexamples
holder-spaces
Does continuity of $f$ imply $f^{-1}(\bar A)\subset\overline{f^{-1}(A)}$?
general-topology
metric-spaces
proof-writing
continuity
examples-counterexamples
f(x,y) not Differentiable on (0,0)
real-analysis
limits
analysis
derivatives
continuity
$f$ continuous on $(a,b)$ and $|f|$ differentiable on $(a,b)$; is $f$ differentiable in $(a,b)$?
real-analysis
derivatives
continuity
Distance of a point to a subset.
metric-spaces
continuity
compactness
iCloud Services (iMessages/FaceTime/Continuity) Very Broken on my Mac
macos
icloud
messages
facetime
continuity
Shouldn't this function be discontinuous everywhere?
limits
continuity
Does continuity always imply integrability?
real-analysis
integration
continuity
How is the discrete metric continuous?
real-analysis
continuity
metric-spaces
Lipschitz continuity of $f(x) \to x^2$
continuity
$f$ Holder continuous with Holder exponent $p>1\implies f \text{ is constant}$
real-analysis
continuity
holder-spaces
Handoff and Instant Hotspot with El Capitan on MacBook Pro (Retina, 15-inch, Early 2013)?
macbook-pro
iphone
macos
continuity
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