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Interesting 15 Bountied Hot Week Month
3 votes
2 answers
120 views

Find all positive integers $n$ such that $10^n$ is divisible by $n^3 + n^2 + n + 1$.

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van der Wolf
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0 votes
0 answers
4 views

Bounding all but one coordinate of a smooth map

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Bernie
  • 236
1 vote
0 answers
37 views

Generalized real order for higher cardinals

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Alma Arjuna
  • 8,485
0 votes
1 answer
22 views

Question involving intermediate fields and their Galois groups

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regr4444
  • 618
0 votes
0 answers
11 views

Clarity on differentiable implies continuous for maps between manifolds

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Waaal
  • 449
4 votes
3 answers
2k views

Why Is The Concept Of Subbasis For A Topology Essential?

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Saaqib Mahmood
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1 vote
1 answer
84 views

Equivalence of Hahn-Banach theorem and spherical completeness of $K$

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Tina
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0 votes
0 answers
10 views

Galois Theory - A Proof that Radical Extension is Solvable, in the Presence of Enough Roots of Unity.

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C V Astley
  • 185
1 vote
1 answer
76 views

Extracting a weakly convergent subsequence in $L^1$.

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fernguy
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3 votes
0 answers
139 views
+100

Survey question on different functional calculus

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Rafael Hipólito
  • 494
1 vote
1 answer
16 views

Commutativity of whiskered counit adjunction with nonwhiskered

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Naïm Camille Favier
  • 7,463
1 vote
0 answers
28 views

A hunt for invariants of Schinzel order $n$ Closed Simple (Polygonal) Curves on Integer-Lattice

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georgii brovkin
  • 11
1 vote
3 answers
2k views

Max flow on undirected graph with constrained edges

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  • 1
0 votes
0 answers
9 views

A hole diameter maximisation under "origamis"

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georgii brovkin
  • 11
8 votes
6 answers
2k views

What happens when square root is performed in inequalities?

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fleablood
  • 135k
4 votes
1 answer
248 views

$(ab)^n = a^{n}b^{n}$ in a unitary ring $A$ implies A commutative?

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Ramen Nii-chan
  • 3,322
0 votes
5 answers
202 views

Integral $\int_0^1 \frac{1}{x}\ln\left(\frac{1+x}{1-x}\right)\ dx$

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Quanto
  • 127k
4 votes
2 answers
523 views

Cholesky decomposition of $\begin{bmatrix} A & B \\ B^T & A \end{bmatrix}$

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Tanamas
  • 1,859
-1 votes
0 answers
38 views

Vojtěch Jarník 2026, P2

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Xander Henderson♦
  • 34k
2 votes
2 answers
490 views

Solution of differential equation as an integral equation

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Greg Martin
  • 96.4k
1 vote
0 answers
20 views

Unique reachability of a nonnegative configuration under local updates on a cycle

Greg Martin's user avatar
Greg Martin
  • 96.4k
2 votes
1 answer
615 views

The matching problem—expectation

Greg Martin's user avatar
Greg Martin
  • 96.4k
3 votes
3 answers
322 views

Can there be a sequence of invertible matrices over natural numbers?

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Ramen Nii-chan
  • 3,322
2 votes
2 answers
159 views

Showing that the set of linear mappings from a finite-dimensional vector space to an infinite-dimensional vector space is infinite-dimensional

s114's user avatar
s114
  • 581
4 votes
3 answers
98 views

Difficulties with Set-Notation in Taxicab Geometry

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Ethan Bolker
  • 109k
0 votes
2 answers
193 views
+50

Relating expected values with sums

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march
  • 1,404
1 vote
0 answers
15 views

Does $\chi$ determine the homomorphism $\rho_\chi:\Pi\longrightarrow \mathrm{PGL}(3,2)$?

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J. Zimmerman
  • 842
1 vote
3 answers
1k views

Show that $K=\{T\in\mathcal{L}(V,W): T\ \text{not injective}\}$ is not a subspace of $\mathcal{L}(V,W)$

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s114
  • 581
0 votes
0 answers
113 views

Closed form of sum over perfect powers

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Shreyash Pachore
  • 4,113
2 votes
1 answer
606 views

Computing selected columns of the null space of a sparse matrix

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CommunityBot
  • 1
1 vote
0 answers
75 views

A ballistic approach to factorization: Using $f'(k)$ to find quadratic residues

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naturallyInconsistent
  • 1,712
6 votes
4 answers
432 views

Is there a notion of an "almost closed" algebraic structure or property?

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Markus Klyver
  • 3,163
0 votes
0 answers
26 views

Convergence of least-squares solution of a matrix equation

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Chris
  • 583
3 votes
3 answers
353 views

How to prove the parallelogram law from some axioms?

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Vladimir Sotirov
  • 16.6k
3 votes
1 answer
73 views

Concyclicity of Fermat points in a cyclic quadrilateral

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timon92
  • 12.6k
2 votes
0 answers
37 views

Categorifying Godel's proof that intuitionistic logic is non-finitely-valued

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Amitai
  • 539
3 votes
1 answer
71 views

A closed-form expression of $\int_0^\infty\frac{1}{x}\left(\sinh(a x)\text{sech}(2\alpha x)\text{sech}\left(\frac{\pi}{2}x\right)\cos(bx)\right)dx$

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Shreyash Pachore
  • 4,113
0 votes
2 answers
610 views

How to fully describe a set consting of orthogonal to v

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CommunityBot
  • 1
0 votes
0 answers
15 views

Recovering non-equivariant cohomologies from Bredon cohomology

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Mikel Solaguren
  • 545
1 vote
2 answers
192 views

Proof of the Structure Theorem for Persistent Homology

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tyo
  • 607
3 votes
3 answers
210 views

What auxiliary construction helps solve this angle chasing problem?

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timon92
  • 12.6k
1 vote
2 answers
626 views

Proof of tensor characterisation lemma in Riemannian Geometry by Lee

Badu's user avatar
Badu
  • 1,002
-3 votes
0 answers
66 views

Comparing $\frac{e^\pi}{\pi}$ and $e^2$ without calculating them

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BomingY
  • 954
2 votes
4 answers
796 views

Show a Result for Pressure Using Navier-Stokes Equation

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K.defaoite
  • 15.3k
6 votes
1 answer
170 views

Reference request: "'Holds water' doesn't hold water"

FD_bfa's user avatar
FD_bfa
  • 5,182
1 vote
1 answer
668 views

Conjecture: If $a+b=c>2$ and $\gcd(a,b)=1$, then $c<\gcd(\,abc, (\operatorname{rad}(abc))^3\,)$

Blue's user avatar
Blue
  • 87.4k
1 vote
0 answers
51 views

Gamma function ratio integral as a complex integral

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Ludwig
  • 317
5 votes
2 answers
254 views

Showing that there is no immediate deformation retraction to a point

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FShrike
  • 49k
-2 votes
1 answer
115 views

How to prove the inequality with logarithmic function

ZhuLei's user avatar
ZhuLei
  • 7
3 votes
2 answers
1k views

Is any simply connected domain conformally equivalent to Cartesian product of unit disks?

Travis Willse's user avatar
Travis Willse
  • 110k
14 votes
3 answers
1k views

Necessity of Axiom of Choice in Functional Analysis given ZF + Dependent Choice

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K. Hirao
  • 129
3 votes
1 answer
68 views

A Coloring Game with King-Connectivity on a $25 \times 25$ Board.

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DanielV
  • 25k
1 vote
1 answer
58 views

First-order Functional differential equation with state-dependent mixed-type shift

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PierreCarre
  • 24.6k
1 vote
1 answer
611 views

What does the "empirical" autocovariance function represent?

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CommunityBot
  • 1
5 votes
3 answers
316 views

How to evaluate $\lim\limits_{x\to \infty} x \left(1-\left(\frac{x!}{x^x}\right)^{\frac{1}{x(x+1)} }\right) $?

DroneBetter's user avatar
DroneBetter
  • 1,653
7 votes
1 answer
649 views

Given 20 distinct positive integers not greater than 99, prove or disprove that among their pairwise differences, at least four are equal ones.

Misha Lavrov's user avatar
Misha Lavrov
  • 166k
7 votes
1 answer
800 views

How to show that a Brownian bridge is a Markov process?

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Mr. Gandalf Sauron
  • 18.7k
0 votes
1 answer
31 views

Multivariate HMM with continuous emissions and segmented time series (Bayesian inference)

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Théo Michelot
  • 71
0 votes
1 answer
613 views

Which of the following graphs represent functions whose derivatives have a maximum in the interval $(0, 1)$?

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CommunityBot
  • 1
8 votes
3 answers
380 views

Evaluate $\int_0^{\pi}\log\left(5-4 \cos x\right) \, \mathrm{d}x$.

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Azlif
  • 2,480
0 votes
1 answer
148 views

Functional differential equations

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mezzoctane
  • 3,020
3 votes
2 answers
295 views

What is the relation between the residue of a meromorphic connection and the degree of the underlying vector bundle?

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Dialektik
  • 445
4 votes
4 answers
3k views

Evaluate $\int_0^{\pi/2} \ln \left(a^2\cos^2\theta +b^2\sin^2\theta\right) \,d\theta$ where $a,b$ are finite natural numbers

Quanto's user avatar
Quanto
  • 127k
7 votes
2 answers
343 views

What is the length of side AB in quadrilateral ABCD circumscribed about semicircle (O)?

Dhairya Kumar's user avatar
Dhairya Kumar
  • 2,010
1 vote
1 answer
2k views

Combining two exponential distributions onto one graph

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CommunityBot
  • 1
2 votes
0 answers
58 views

Do systems of parameters give Koszul-regular sequences before completion?

user577413's user avatar
user577413
  • 452
0 votes
0 answers
44 views

Gradient estimate for a weak solution of a quasi-linear elliptic equation

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Rodrigo de Azevedo
  • 24.3k
0 votes
2 answers
766 views

Vector field and its components

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CommunityBot
  • 1
4 votes
2 answers
119 views

Evaluation of the integral $ I = \int_{0}^{\pi/2} \frac{\tan^{1/4} x}{\ln^2(\tan x) + \pi^2} dx $

Idividedbyzero's user avatar
Idividedbyzero
  • 3,528
4 votes
1 answer
98 views

Line integral around an arbitrary curve

Suraj Gavhale's user avatar
Suraj Gavhale
  • 265
3 votes
1 answer
385 views

Spivak's proof of the parallelogram of forces

lonza leggiera's user avatar
lonza leggiera
  • 33.5k
14 votes
0 answers
2k views

When does the first cohomology group commute with inverse limit?

Martin Sleziak's user avatar
Martin Sleziak
  • 56.8k
1 vote
1 answer
95 views

Strengthening intuition on the first isomorphism theorem

Kan't's user avatar
Kan't
  • 5,623
1 vote
1 answer
638 views

How to Taylor-expand a scalar field?

Rodrigo de Azevedo's user avatar
Rodrigo de Azevedo
  • 24.3k
1 vote
1 answer
55 views

Why are the components of a differential 1-form functions on a chart

John Hughes's user avatar
John Hughes
  • 103k
19 votes
0 answers
348 views

"Loss vs gain of structure” in number systems (ℕ → ℤ → ℚ → ℝ → ℂ → ℍ → 𝕆 → …)- Extending the analogy?

mezzoctane's user avatar
mezzoctane
  • 3,020
1 vote
1 answer
604 views

Minimum cutset matrix from adjacency matrix?

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CommunityBot
  • 1
20 votes
3 answers
8k views

Weak topology on an infinite-dimensional normed vector space is not metrizable

gaoqiang's user avatar
gaoqiang
  • 430
1 vote
1 answer
39 views

Intuition about smoothness indicator in a Flux Limiter scheme

EditPiAf's user avatar
EditPiAf
  • 21.5k
5 votes
2 answers
650 views

What's the mistake in the integration of $\int \sqrt{1+4t^2}\,dt $?

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CommunityBot
  • 1
0 votes
0 answers
21 views

Is the limiting incenter of a degenerating tetrahedron the Radon point of the four limiting coplanar vertices?

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Allium tuberosum
  • 391
4 votes
0 answers
84 views
+300

Local presentability of the category of normed vector spaces

Martin Brandenburg's user avatar
Martin Brandenburg
  • 186k
1 vote
1 answer
73 views

Is the truth value of $\operatorname{Con}(T)$ “absolute” once a formal system is fixed?

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Rócherz
  • 4,281
1 vote
0 answers
24 views

Solving elliptic and parabolic equations on Riemannian manifolds, numerically

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Sujit Bhattacharyya
  • 3,128
1 vote
1 answer
186 views

Calc II to SDEs

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Allium tuberosum
  • 391
3 votes
2 answers
110 views

Show that $\int_0^1 |t-z|^{-1/2}\ \mathrm{d}t < c(1 + |z|)^{-1/2}$

River Li's user avatar
River Li
  • 54.3k
1 vote
1 answer
56 views

Ensuring that a rank-one updated matrix remains positive definite

Ben Grossmann's user avatar
Ben Grossmann
  • 237k
3 votes
2 answers
2k views

Solving exact second order differential equation

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krm2233
  • 8,846
0 votes
1 answer
627 views

Find the limit of a sequence to the power of something

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CommunityBot
  • 1
3 votes
3 answers
803 views

Rotation matrix following right-hand rule

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Rodrigo de Azevedo
  • 24.3k
2 votes
2 answers
180 views

Need help with exercise 7.A.28 from Linear Algebra Done Right, fourth edition

Koro's user avatar
Koro
  • 11.9k
2 votes
1 answer
119 views

$\in$-recursion. Is Jech's proof circular?

Calvin Khor's user avatar
Calvin Khor
  • 36.8k
15 votes
1 answer
600 views

The maximal number of knights on a square chessboard such that each knight attacks exactly two others

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user1728960
  • 412
5 votes
1 answer
622 views

Relative cap product

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CommunityBot
  • 1
3 votes
2 answers
119 views

Confusion about notation of $\frac{\partial}{\partial x^I}\big\rvert_p$ in Riemannian Geometry

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Blue
  • 87.4k
4 votes
1 answer
113 views

Explicit representative of fundamental class of surface of genus 2 in singular homology

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Hausdorff
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