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New posts in real-analysis
Are all bijective functions continuous?
real-analysis
general-topology
Use $C^\infty$ function to approximate $W^{1,\infty}$ function in finite domain
real-analysis
functional-analysis
proof-verification
sobolev-spaces
Subspaces of $L^p$
real-analysis
functional-analysis
measure-theory
lp-spaces
Additive but not $\sigma$-additive function
real-analysis
measure-theory
probability-theory
Why is the Riemann integral only defined on compact sets?
real-analysis
integration
$f$ is a real function and it is $\alpha$-Holder continuous with $\alpha>1$. Is $f$ constant?
real-analysis
holder-spaces
Gronwall's Lemma (Discrete version)
real-analysis
inequality
How to make sense of complex coordinates on manifolds?
real-analysis
complex-analysis
differential-geometry
smooth-manifolds
coordinate-systems
Measure zero of the graph of a continuous function
real-analysis
measure-theory
What are some rigorous definitions for sine and cosine?
calculus
real-analysis
trigonometry
Show that $A = \{p\in\mathbb{ Q}^+\mid p^2<2\}$ contains no largest number and $B= \{p\in\mathbb {Q}^+\mid p^2>2\}$ contains no smallest number [duplicate]
real-analysis
analysis
Function grows slower than $\ln(x)$
calculus
real-analysis
limits
How to show $(1/n!)^{1/n}$ goes to $0$ as $n$ goes to infinity? [duplicate]
real-analysis
limits
factorial
radicals
Why the $\nabla f(x)$ in the direction orthogonal to $f(x)$?
calculus
real-analysis
derivatives
intuition
For $a_n>0$ such that $\sum a_n $ converges, show that there exist $c_n>0$ such that $c_n\to \infty$ and $\sum a_n c_n$ is finite.
real-analysis
sequences-and-series
convergence of $\sum_{n=1}^{\infty} \frac{e^{-xn\ln x}}{x^2 + n}$ if $x>0$
real-analysis
sequences-and-series
Prob. 14, Chap. 3, in Baby Rudin: The arithmetic mean of a complex sequence
real-analysis
sequences-and-series
complex-analysis
analysis
convergence-divergence
Evaluate $\int_0^1(x\ln(x))^{50}dx$
calculus
real-analysis
definite-integrals
Continuous functions are bounded
real-analysis
Is $\prod \limits_{n=2}^{\infty}(1-\frac{1}{n^2})=1$ [duplicate]
real-analysis
sequences-and-series
infinite-product
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