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Interesting 21 Bountied Hot Week Month
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torsion free sheaf on surface has filtration with torsion free factors of rank 1

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maxo
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1 answer
981 views

Is Douglas Hofstadter's version of Gödel's proof correct?

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Mason
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5 votes
1 answer
417 views

Evaluating $\int_0^1 \frac{x\arctan(x)}{1-x^2} \log^2 \left( \frac{1 + x^2 }{2} \right) \textrm{d}x$

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user97357329
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8 votes
4 answers
5k views

Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$

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rschwieb
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8 votes
4 answers
307 views

Justification for swapping limit and integral to obtain Dirichlet integral

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xpaul
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1 vote
1 answer
22 views

Suppose $t\in\Bbb F_{q^2}\setminus \Bbb F_q$ with $w=t+t^{-1}\in \Bbb F_q$. Is $t^3-t\in\Bbb F_q$?

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Kevin Du
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6 votes
3 answers
746 views

Understanding when it's OK to use limits arithmetic of multiplying

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Emily Katz
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2 votes
1 answer
101 views

Discrete SIR model

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Abezhiko
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61 votes
16 answers
3k views

Can someone explain to me how a formula for the sine function is derived?

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Tim Pederick
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0 answers
13 views

Asympotics of $\sum_{p \leq x} \log^k(p)$ for any rational $k \in \mathbb{Q}$

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Brudogopus
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0 answers
4 views

Cohomology of a cyclic group: dependence on a generator

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Mikhail Borovoi
  • 1,358
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0 answers
17 views

Analytical expression for double sum involving generalized Laguerre polynomials

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Alessandro Pini
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0 answers
10 views

Closed-form or simplification for a triple sum involving binomial coefficients and factorials

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Alessandro Pini
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1 vote
2 answers
1k views

Tangent to sphere in a given plane

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0 answers
12 views

Fusion dynamics on an infinite graph: does every configuration stabilize uniquely?

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Aurora Dinisi
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0 votes
2 answers
77 views

Is a square a surface?

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Rohit Chopade
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16 votes
3 answers
1k views

$\int_{0}^{\infty}\frac{dx}{1+x^n}$

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Bob Dobbs
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1 answer
21 views

Is provability of existential arithmetic sentences/halting of Turing machines independent with theory

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Noah Schweber
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28 views

Rational points on this elliptic curve?

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Hauke Reddmann
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0 answers
10 views

Codimension of singular points of hypersurface $Y\subset X$

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Siegmeyer of Catarina
  • 157
2 votes
1 answer
57 views

Finding the homogeneous polynomial associated with a symmetric tensor

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Carson Newman
  • 83
-1 votes
1 answer
28 views

Conditions on linear independance of a family of vectors defined as an infinite linear combination

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P. Quinton
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19 votes
1 answer
166 views
+50

A tetrahedron's vertices are random points on a sphere. What is the probability that the tetrahedron's four faces are all acute triangles?

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Jack D'Aurizio
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3 votes
1 answer
895 views

Curvature and adjoint bundle

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4 votes
1 answer
145 views

Proof of Kolmogorov zero-one law in measure-theoretic setting

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lily
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5 votes
2 answers
755 views

Incompleteness and Uncertainty related?

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Dinisaur
  • 1,175
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0 answers
7 views

Deriving the Jacobi equation as linearization of the geodesic equation

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Dinisaur
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6 votes
2 answers
2k views

Chern classes of tangent bundle over the Grassmannian G(2,4)

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Michael Albanese
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2 votes
1 answer
70 views

Does incrementing the number of plays $n$ of a machine $i$ with max $\nu(i,n)$ value always yield the same values for $\min_{k_j}\max_j\nu(j,k_j)$?

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Bart
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4 votes
3 answers
390 views

What are infinite aperiodic p-adic integers equivalent to?

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Xander Henderson♦
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1 vote
1 answer
32 views

Expected value on a fair 6 sided die with coin flip

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Samarth
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0 answers
11 views

Proof check: $\hat{\mathbb{C}}$-valued limit of holomorphic functions is holomorphic or identically $\infty$

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algebroo
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1 vote
1 answer
116 views

Existence of solution to linear equations

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user
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4 votes
5 answers
13k views

Please calculate $\lim_{x\rightarrow 0}\frac{\ln(\cos x)}{x^2}$

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Duong Ngo
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3 votes
1 answer
64 views

Central limit theorem for dependent Bernoullis on regular graphs

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Martin Modrák
  • 439
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0 answers
7 views

Deriving the inequality $|R(1,w)|\geq k$ via wall-crossing parity in Davis's Coxeter Groups book

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itkyitfbku
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2 votes
0 answers
18 views

Identity in MCMC autocorrelation

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Henry
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12 views

Positive solution of nonlinear elliptic equation

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john_psl1298
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23 views

$f:U\to\mathbb{R}$ is $C^k$ at $p\in U$. Is this definition really correct? ("An Introduction to Manifolds Second Edition" by Loring W. Tu.)

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tchappy ha
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13 views

Explanation of an assertion by Gauss on an embedding of a surface in space

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user2554
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2 answers
237 views

difference between "let" and "for all"

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Mauro ALLEGRANZA
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2 votes
1 answer
120 views

How to know the singular points of non-linear, second order ODEs?

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The Amplitwist
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0 answers
10 views

Proof of a characterization of quasiconcave functions.

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vertis
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4 votes
2 answers
247 views

If I repeatedly roll two fair six-sided dice, what is the probability that I will roll three 2s before I roll seven 6s?

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true blue anil
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2 votes
0 answers
120 views

How good are these probabilistic algorithms for the NP-hard problem gcd of sparse polynomials?

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The Amplitwist
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6 votes
1 answer
317 views
+50

Show that $\sum_{k=0}^{4}\sqrt{1-c^2\sin^2\left(x+2k\pi/5\right)}$ is decreasing on $[0, \pi/10]$

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Tveltzel
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1 answer
69 views

Does there exist $1<x<2$ such that the sequence $\lfloor x\rfloor,\lfloor x^2\rfloor,\ldots,\lfloor x^k\rfloor$ is of the form $1,2,3,4,\ldots,n,n+4?$

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Thinh Dinh
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1 answer
11 views

Average Daily Output of a Repair Shop with Limited Capacity

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lulu
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3 votes
1 answer
2k views

An exercise from Stein's Fourier analysis

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Davide Giraudo
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1 vote
0 answers
29 views

Vanishing infinite linear combination of independent vectors implies that coefficients also vanish?

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arthur_elbrdn
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0 answers
10 views

Existence of rank 3 lattice of signature (1,2) containing two copies of $U$ intersecting in a positive vector

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Basics
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3 votes
1 answer
948 views

Poisson Process Exercise

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2 votes
1 answer
33 views

What is the topology on the set of all plays of a game?

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Noah Schweber
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0 answers
31 views

Is it really true that the (left-) inverse of a strictly increasing function is strictly increasing?

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guest1
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6 votes
1 answer
92 views

Does there always exist a holomorphic function satisfying such conditions?

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psl2Z
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1 answer
50 views

Slanted ellipse's determination in cylinder in 2D plane?

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Explorer
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0 answers
47 views

$S =\sum\limits_{n=0}^\infty\frac{(-1)^n}{(2n+1)^2}\left(\psi\left(\frac{3n}{2}+\frac{3}{2}\right)-\psi\left(\frac{3n}{2}+1\right)\right)$

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OnTheWay
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4 votes
1 answer
87 views

Example of a finite-dimensional Lie algebra with a fixed-point-free automorphism of prime power order which is not nilpotent

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Dietrich Burde
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1 vote
1 answer
22 views

Intensity Distribution Function for Light Diffracting from Digital Micromirror Device

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maggotmeat
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1 vote
1 answer
60 views

Is there a way to find the distribution of a ratio of two normal variables that can assume negative values?

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lupus
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3 votes
0 answers
117 views

Sum of remainders $\bmod n$

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Richard Hall
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1 vote
1 answer
19 views

SageMath's Automaton method number_of_words error

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ploosu2
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3 votes
1 answer
78 views

Definite Integration with Lambert W-Function $\int_0^\infty e^{-W(x)^2} \, dx$

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JJacquelin
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0 votes
0 answers
22 views

Motivation for choosing generalized coordinates in classical mechanics

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userא0
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0 votes
0 answers
36 views

Questionable proof of the statement that connected components of a topological space are not necessarily open

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Prime Mover
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2 votes
0 answers
31 views

Terminology for limits in full subcategories

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Sambo
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5 votes
1 answer
1k views

Projection of a Symmetric Matrix onto the Positive Semidefinite (PSD) Cone Using the Nuclear Norm

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user1551
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2 votes
1 answer
54 views

Doubt regarding the quadrant of angles

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John Omielan
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0 answers
34 views

What do $\nabla^a$ and $\partial^a$ mean in general relativity and differential geometry?

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wwdwy
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5 votes
1 answer
233 views

USATST 2011/P4 : Prove that $OA\perp RA$ [Proof Verification needed]

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0 answers
49 views

Is there a closed form for the alternating sum involving $\log(k)$ and harmonic squares?

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Dang Dang
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4 votes
2 answers
3k views

Proving the Nested Interval Property using Axiom of Completeness

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3 votes
0 answers
140 views
+50

Proving (the lower bound that) $N$ exceeds product of primes under special congruence constraints

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Dang Dang
  • 276
0 votes
0 answers
26 views

Practical use of the closed graph theorem

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Mathematics
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1 vote
0 answers
14 views

Basic confusion about Hausdorff outer measure

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Brozovic
  • 2,364
0 votes
1 answer
20 views

Let $f_J$ and $g_K$ be partial functions. Then $f_J \subseteq g_K$ if and only if $J \subseteq K$ and $g_K|_J = f_J$

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Kevin Du
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0 votes
0 answers
26 views

How to decide if a function is a metric given oracle access?

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Erel Segal-Halevi
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1 vote
0 answers
18 views

Existence of continuous curve contained in an level curve.

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Balasubramannyan S
  • 182
1 vote
0 answers
25 views

Minimum Speed in Fisher & Hasselblatt's Hyperbolic Flows

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Shreyansh Jaiswal
  • 245
0 votes
1 answer
916 views

Prove that $1$ is a unique neutral element for multiplication

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2 votes
1 answer
59 views

On the rate of convergence of $\log(\|f\|^p_p)$ as $p\rightarrow\infty$

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Boris PerezPrado
  • 562
0 votes
0 answers
28 views

Comparing hitting measure of two random walks on trees

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quuuuuin
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4 votes
0 answers
73 views

Geometric interpretation to what seems like a generalization of angle element

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Ilya Iakoub
  • 153
3 votes
0 answers
208 views

Prove that a matrix is almost surely full rank

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Sebastiano
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10 votes
1 answer
499 views

Is there any differentiable function $f$ such that $f'$ is discontinuous exactly on $\Bbb{Q} $ and continuous on $\Bbb{R}\setminus \Bbb{Q}$?

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Martin R
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5 votes
1 answer
8k views

Helmholtz and Biharmonic equation examples with exact solution

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CommunityBot
  • 1
8 votes
2 answers
277 views

Prove that if $d^k = (3^n + 1)/2$, then $d^{k+1}$ cannot be of the form $(2^m + 1)/3$?

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John Omielan
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4 votes
1 answer
92 views

The Definition of Continuity

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Daniel Smania
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2 votes
0 answers
91 views

Evaluation of two electron exchange integral

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Boris PerezPrado
  • 562
2 votes
1 answer
68 views

Proof of conditional Hoeffding lemma

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Davide Giraudo
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2 votes
1 answer
1k views

Finding Second Solution for Hermite Differential Equation through reduction of order

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0 votes
0 answers
20 views

How to check for multivariate polynomials' encoded cycle structure

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Jfischer
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4 votes
2 answers
464 views

How to prove in general terms using trigonometry that the median perpendicular will divide the diagonal in such a ratio

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Andrei
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21 votes
6 answers
572 views

Asymptotics of $a_n$ such that $n^2(a_{n+1}-2a_n+a_{n-1})=\lambda a_n$

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user
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0 votes
0 answers
88 views

Is me running after the bus a problem involving a differential equation?

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Marc Le Bihan
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4 votes
0 answers
48 views

The sum of sub-exponential random variables are sub-exponential.

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Phil
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