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Mathematics

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First to answer and accepted with score of 10 or more. This badge can be awarded multiple times.
Awarded 24784 times.
Show that $\int_0^{\infty}\frac{\operatorname{Li}_s(-x)}{x^{\alpha+1}}\mathrm dx=-\frac1{\alpha^s}\frac{\pi}{\sin(\pi \alpha)}$
Awarded 4 hours ago
An alternative proof that the reals are uncountably infinite.
Awarded 9 hours ago
An open subset of a manifold is a manifold
Awarded 9 hours ago
Are $C^\infty$ exotic spheres $C^k$ exotic?
Awarded 15 hours ago
Evaluate: $4^9-\binom{8}{1}4^8+\binom{7}{2}4^7-\binom{6}{3}4^6+\binom{5}{4}4^5$
Awarded 21 hours ago
On Ramanujan's fastest series.
Awarded yesterday
Solve recurrence for strings that do not contain the substring 101
Awarded 2 days ago
Are one-point sets always compact in any topological spaces?
Awarded 2 days ago
Find the number of subsets $A$ of $S= \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$ such that: $x\in A\wedge 2x\in S\implies 2x \in A$
Awarded 2 days ago
What are the subobjects of a manifold?
Awarded Nov 22 at 12:36
Intuitive explanation of why the modified Gram-Schmidt is more stable than the classical one?
Awarded Nov 22 at 6:57
Are ceiling and floor elementary functions?
Awarded Nov 21 at 20:18
Can a function be differentiable at only isolated points?
Awarded Nov 21 at 15:56
How would I show that $\sin$ is continuous?
Awarded Nov 21 at 13:17
Examples of countable non-commutative division rings
Awarded Nov 21 at 13:17
$\int_0^{\infty}\text{Ai}^4(x)dx = \ln(3)/24 \pi^2$
Awarded Nov 20 at 22:27
Does the Laplacian and gradient commute?
Awarded Nov 20 at 22:27
Is this formula for cosine correct? (And is it significant)
Awarded Nov 20 at 15:30
Rules of imaginary numbers
Awarded Nov 20 at 15:30
Commutator of a group
Awarded Nov 20 at 12:07
How does the coefficient ring influence the Euler characteristic?
Awarded Nov 20 at 3:03
Why is $\mathfrak{m}/\mathfrak{m}^{2}$ the cotangent space to a variety?
Awarded Nov 19 at 23:41
Do division rings have algebraic closures?
Awarded Nov 19 at 23:41
Why is Erdős–Szekeres theorem sharp?
Awarded Nov 19 at 15:41
Non-recursive, explicit rational sequence that converges to $\sqrt{2}$
Awarded Nov 18 at 23:02
Why does this method work some of the time (but only some?)
Awarded Nov 18 at 23:02
How to evaluate $\int_{0}^{1}\frac{\arctan x}{1+x^{2}}\ln\left ( \frac{1+x^{2}}{1+x} \right )\mathrm{d}x$
Awarded Nov 18 at 23:02
Request for a proof of the following continued-fraction identity
Awarded Nov 18 at 18:05
Nontrivial integral representations for $e$
Awarded Nov 18 at 17:37
Why do these valleys in $LCM(P_n - 1, P_n + 1) \bmod n$ exist and are they random?
Awarded Nov 18 at 17:37
Support of a measure and set where it is concentrated
Awarded Nov 17 at 22:46
On $\int_0^1\frac{a+2x}{\sqrt{x(1-x)(a+x)(1+a+x)}}dx=\pi$
Awarded Nov 17 at 19:10
Any ring is integral over the subring of invariants under a finite group action
Awarded Nov 17 at 19:10
continuously averaging a stream of numbers
Awarded Nov 17 at 11:21
How to remove duplicate roots from a polynomial?
Awarded Nov 17 at 3:48
Help understanding the inclusion map
Awarded Nov 17 at 1:53
Is there a tame proof of "No anti-knots?"
Awarded Nov 17 at 1:53
Does every (possibly infinite dimensional) vector space have an orthogonal Hamel basis?
Awarded Nov 16 at 18:19
What's the difference between "function" and "relation" in logic?
Awarded Nov 16 at 16:39
Proving $\frac{1}{\cos^2\frac{\pi}{7}}+ \frac {1}{\cos^2\frac {2\pi}{7}}+\frac {1}{\cos^2\frac {3\pi}{7}} = 24$
Awarded Nov 15 at 19:51
Why is this angle always less than $49°$?
Awarded Nov 14 at 22:53
No well-ordered set is isomorphic to any of its initial segments
Awarded Nov 14 at 17:30
"Numerical results" from category theory
Awarded Nov 14 at 10:41
Definitions of Flat Connections
Awarded Nov 14 at 6:33
$ST$ and $TS$ have the same eigenvalues.
Awarded Nov 13 at 15:28
Do finite additivity and countable subadditivity imply countable additivity?
Awarded Nov 13 at 12:57
Continuous extensions of GCD to $\Bbb R^{+}\!\!\times \Bbb R^{+}\!$ still commutative and distributive
Awarded Nov 12 at 17:00
Fibonacci / Lucas Numbers Relationship: $F_{2n} = F_n L_n$
Awarded Nov 12 at 8:48
Is there an analog of Markov's Inequality (or Chebychev) for Medians?
Awarded Nov 11 at 18:41
What's are all the prime elements in Gaussian integers $\mathbb{Z}[i]$
Awarded Nov 11 at 17:36
Prove that $\sum_{k=0}^n(-1)^k{n \choose k}\frac{1}{k+m+1}=\sum_{k=0}^m(-1)^k{m \choose k}\frac{1}{k+n+1}$.
Awarded Nov 11 at 14:37
Every well-ordered set is isomorphic to a unique ordinal
Awarded Nov 11 at 4:09
Visualizing a basic triangle inequality in metric spaces
Awarded Nov 11 at 2:08
In constructive math, does "$\mathbb R$ is the disjoint union of two non-empty sets" imply $\mathbb R = (-\infty,0] \cup (0,+\infty)$?
Awarded Nov 10 at 22:09
Prove that the square root of a positive integer is either an integer or irrational
Awarded Nov 10 at 6:36
A sequence based on Euler's totient function that always converges to prime numbers
Awarded Nov 10 at 0:19
Do categories of bimodules have enough projectives?
Awarded Nov 9 at 5:35
What is a strictly convex function that is not strongly convex?
Awarded Nov 8 at 20:53
Integral inequality with logarithm
Awarded Nov 8 at 20:53
What is the "closest approximation" to fields by an equational variety?
Awarded Nov 8 at 13:32
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