New posts in real-analysis

Do distance-preserving maps from $\mathbb R^2 \rightarrow \mathbb R$ exist?

real-analysis general-topology geometry elementary-number-theory

Definition of "the surface measure"?

real-analysis measure-theory definition polar-coordinates

$G$ be a non-measurable subgroup of $(\mathbb R,+)$ ; $I$ be a bounded interval , then $m^*(G \cap I)=m^*(I)$?

real-analysis group-theory measure-theory outer-measure

Given $v_i∈B^n$, bounding $\sum b_iv_i$ for $b_i= \pm 1$

real-analysis inequality vectors

Prove that $0!+1! + 2! + 3! + ..... + n!$ $\neq$ $p^\text{r}$, where $n \geqslant 3$ and $n$, $p$ and $r$ are three integers

real-analysis sequences-and-series number-theory summation factorial

Experimental identities with Fibonacci series

real-analysis sequences-and-series number-theory summation fibonacci-numbers

Proving a necessary and sufficient condition for compactness of a subset of $\ell^p$

real-analysis sequences-and-series functional-analysis compactness

How do I prove $f=0$ almost everywhere?

real-analysis measure-theory lebesgue-integral

Does $\sum_{n=3}^\infty \frac {1}{(\log n)^{\log(\log(n)}}$ converge?

real-analysis sequences-and-series

Smooth Pac-Man Curve?

real-analysis recreational-mathematics polar-coordinates analyticity

If the sum and the product of two sequences converges to zero, does that mean that each sequence converges to zero?

real-analysis sequences-and-series convergence-divergence

Is $f_n (x)$ pointwise convergent??

real-analysis definition sequence-of-function pointwise-convergence

$\lim_{n\to\infty} \sqrt[n]{n!}$ and $\lim_{n\to\infty}\frac{1}{n} \sqrt[n]{n!}$ with differentiation and integration tools.

real-analysis limits riemann-integration stieltjes-integral

For what $x's$ does $\sum_{k=1}^{\infty} \frac{(k+1)^{k^2}}{k^{k^2+2}} x^k$ converge?

real-analysis calculus sequences-and-series

Does the metric $d(x,y)=||x-y||^p$ for $0<p<1$ induce the usual topology on $\mathbb{R}^n$?

real-analysis metric-spaces

Prove that there is no function $f:\Bbb{R}\to\Bbb{R}$ with $f(0)>0$ such that $\forall x,y\in\Bbb{R}, f(x+y)\geq f(x)+y f(f(x))$

calculus real-analysis limits functional-equations

How to prove that a function defined recursively really exist?

real-analysis induction recursion

Evaluating the limit of a certain definite integral

calculus real-analysis integration limits closed-form

How to study the convergence of $ \int_{0}^{\infty}\frac{dx}{1+x^{2}|\sin(x)|} $?

real-analysis integration sequences-and-series improper-integrals

A proof of the fact that the Fourier transform is not surjective from $\mathcal{L}^1(\mathbb{R})$ to $C_0( \mathbb{R})$

real-analysis analysis fourier-analysis convolution fourier-transform