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New posts in real-analysis
What is wrong with the "proof" for $\ln(2) =\frac{1}{2}\ln(2)$?
real-analysis
sequences-and-series
fake-proofs
Any elementary proof of the monotonicity of $a_{n} =(1+\frac{1}{n})^{n+\frac{1}{2}}$?
real-analysis
sequences-and-series
Continuity at exactly one point
real-analysis
general-topology
continuity
Fourier transform of a radial function is radial
real-analysis
fourier-analysis
fourier-transform
harmonic-analysis
Functional equation $f(px)+p=[f(x)]^2$
real-analysis
functions
continuity
functional-equations
nonlinear-analysis
limit of a recursively defined function
real-analysis
sequences-and-series
analysis
limits
$\cos(x)$ and $\arccos(x)$ couple limit
calculus
real-analysis
trigonometry
limits
Compute $ \int_{0}^{1}\frac{\ln(x) \ln^2 (1-x)}{x} dx $
calculus
real-analysis
integration
definite-integrals
Show that the domain is closed
real-analysis
general-topology
Basic Properties Of Fourier Series. 2.
real-analysis
functional-analysis
fourier-analysis
fourier-series
Prove the following summation inequality: $\sum_{i=1}^n(a_i)\sum_{i=1}^n(\frac{1}{a_i})\ge n^2$ [duplicate]
real-analysis
linear-algebra
Faulhaber's Formula to evaluate series
calculus
real-analysis
integration
sequences-and-series
analysis
How do I prove that $f(x)=x^2-4x+3$ is injective at $(-\infty, 2)$ and $(2,\infty)$
real-analysis
analysis
Show that $T$ is a compact operator
real-analysis
Uniform convergence and derivatives
real-analysis
derivatives
uniform-convergence
Does $L^p$-convergence imply pointwise convergence for $C_0^\infty$ functions?
real-analysis
analysis
convergence-divergence
lp-spaces
What star domain has a non-star-domain interior?
real-analysis
general-topology
Pseudo Otto Holder proof help.
real-analysis
holder-inequality
How to calculate $\lim \limits_{n \to \infty}(1 +\frac{a}{n})^n$?
real-analysis
analysis
Prove that $\|v\|_{H^1(\Omega )}\leq C(\|f\|_{L^2(\Omega )}+\|v\|_{H^{1/2}(\partial \Omega )}+\|\partial _\nu v\|_{H^{1/2}(\partial \Omega )}))$
real-analysis
functional-analysis
partial-differential-equations
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