kahen

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197 Answers

newest activity votes
69
Completion of rational numbers via Cauchy sequences
28
Is Complex Analysis equivalent Real Analysis with $f:\mathbb R^2 \to \mathbb R^2$?
25
A smooth function's domain of being non-analytic
25
Are Continuous Functions Always Differentiable?
19
If $(a_{n})$ is increasing, is $u_{n}=\frac{a_{1}+\cdots+a_{n}}{n}$ increasing as well?
15
Why study “curves” instead of 1-manifolds?
14
Why are smooth manifolds defined to be paracompact?
13
Why abstract manifolds?
13
Why can't Cantor sets cover $\mathbb{ R}$?
12
Russell's paradox and the foundations of measure theory
11
Is $\mathbf{C}$ the algebraic closure of any field other than $\mathbf{R}$?
10
Common misconceptions about math
9
A short way to say f(f(f(f(x))))
8
In $\ell^1$ but not in $\ell^2$?
8
How exactly do exponentials work?
8
What's wrong with this definition of continuity?
8
Archimedean property of $\mathbb{R}$
8
A question about complex analysis
7
Does $\log(x)$ stop at a finite value when x is infinite?
7
Intuition behind “ideal”
7
Dedekind Cuts versus Cauchy Sequences
7
Motivating implications of the axiom of choice?
6
$f$ Borel measurable and and $f=g$ a.e (Lebesgue) but $g$ is not Borel measurable
6
Notation: What's meant by $C^{\infty}_{0}(\mathbb{R}^{+})$?
6
Derivating $f(t)=\int_0^t x dx$ using measure theory
6
Nowhere continuous real valued function which has an antiderivative
6
Some math symbols seem useless
6
$\omega$ - space of all sequences with Fréchet metric
6
An elementary proof in matrix algebra
6
Decomposition of a continuous function with monotone functions
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