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Interesting 16 Bountied Hot Week Month
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0 answers
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How to compute $\int_0^1\frac{\ln x}{x^2-x-1}dx$ without using polylogarithmic function $\text{Li}_2(z)$

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Quanto
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4 votes
1 answer
2k views

Algebraic derivation of the recurrence for Stirling numbers of the second kind

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Donald Splutterwit
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0 votes
1 answer
764 views

Compute H-infinity norm in Matlab

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0 votes
2 answers
72 views

Solving the differential equation $(V(b)-b)V'(b) = V(b)$

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Átila Correia
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2 votes
2 answers
36 views

Solving linear system with triangular Toeplitz matrix

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Gabe
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1 vote
1 answer
53 views

Is there such thing as iterated division?

vallev's user avatar
vallev
  • 1,121
2 votes
1 answer
121 views

Can we simplify this result?

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Hazem Orabi
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2 answers
753 views

The fourth order accuracy of $f''(x_0)$

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0 votes
0 answers
21 views

Inflection point on elliptic curves

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Pabloo
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1 vote
0 answers
41 views

When a cubic irrational can be written in terms of two nonnegative powers?

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mezzoctane
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0 votes
1 answer
15 views

Isolated point of spectrum of a self-adjoint operator and finite rank projectors

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Prox
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1 vote
2 answers
2k views

Frobenius Norm Properties

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Átila Correia
  • 19.5k
2 votes
0 answers
31 views

Question about the inscribed square problem

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Laura
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4 votes
1 answer
90 views

Is a compact subspace of a quotient of a topological vector space contained in the image of a compact subspace of the original space?

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Jakobian
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1 vote
1 answer
326 views

Lyapunov Stability Analysis

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Gonçalo
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0 votes
1 answer
751 views

A theorem involving the special root of an equation

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6 votes
3 answers
259 views

How to prove : $\{ (2+\sqrt3)^n\} = 1 -(2-\sqrt3)^n$

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SimonHYS
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2 votes
1 answer
803 views

Proof about twice differentiable function.

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Riemann
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0 votes
1 answer
92 views

$3^x\times 7+475=2^y$ has no integer solutions?

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Lhachimi
  • 636
1 vote
1 answer
34 views

Find real functions $f$ such that $\forall n \in \mathbb{Z}^+, f(nx)=nf'(x)f^{n-1}(x)$

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DiamondNether90
  • 65
2 votes
1 answer
58 views

The opposite category $\mathbf{Mat}_R^\text{op}$

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Markus Klyver
  • 2,636
1 vote
1 answer
52 views

Wikipedia’s proof of the Laplace’s method of integration

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naturallyInconsistent
  • 422
2 votes
1 answer
211 views

Self-normalized martingale central limit theorem

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Aurelien
  • 131
0 votes
1 answer
755 views

Solve differential equation using Laplace Transform and Second Shifting Theorem

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  • 1
1 vote
0 answers
12 views

Almost all graphs only have adjacency eigenvalues of multiplicity 1

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Jan
  • 1,350
1 vote
3 answers
114 views

Proving that $x := x - yt$; $y := y + xt$ traces an ellipse

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vallev
  • 1,121
21 votes
3 answers
35k views

expectation of empty bins after placing $m$ balls into $n$ bins

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RobPratt
  • 52.5k
2 votes
2 answers
1k views

Cauchy-Schwarz inequality in a convolution

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RobPratt
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6 votes
1 answer
2k views

Circle-Circle Intersection

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RobPratt
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5 votes
1 answer
244 views
+100

On ${\int_0^\infty\left[{12+x^2+3x^2\left({1-x\coth\frac{x}2}\right)\text{csch}^2\frac{x}2}\right]\frac{dx}{x^4}}=\frac{\zeta(3)}{\zeta(2)}$

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Hazem Orabi
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1 vote
0 answers
22 views

Cancellation in exponential sum involving Möbius?

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Sturm-Liouville
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3 votes
0 answers
142 views
+50

Regularizing an exponential integral

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Maxime Jaccon
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2 votes
1 answer
47 views

classification of f.g. abelian groups isomorphism

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Nicolas Bourbaki
  • 5,876
0 votes
0 answers
20 views

What mathematical structure do the manifolds described by color models and color spaces have?

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tparker
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1 vote
0 answers
25 views

Simplify an expression for subsequent numerical integration

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rdemo
  • 501
3 votes
2 answers
1k views

Annihilators in dual space

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4 votes
4 answers
254 views

Number of integer solutions to $\sum_{i=1}^{10} x_i = 100$ with $2 \le x_i \le 21$

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true blue anil
  • 49.7k
3 votes
4 answers
6k views

Constrained optimization with complex variables

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Jean-Baptiste Caillau
  • 1
1 vote
0 answers
13 views

Explicit bounds for polytope integral

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clare31
  • 127
3 votes
1 answer
259 views
+50

Conjecture about the Levenshtein difference of prime multplicative groups mod $p$.

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Ambrose Rutherford
  • 302
4 votes
1 answer
82 views

How to solve $\lim_{x \to 0} \frac{e^x - e^{\sin(x)}}{x-\sin(x)}$

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Átila Correia
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1 vote
1 answer
1k views

Confidence Intervals with two variables

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2 votes
2 answers
81 views

Let $a>1$, $b>0$ and $c=a+b$. Solve in $\mathbb{R}$ the equation $ (a^{x}+b)^{\log_{c} a} = c^{x} - b$

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Angelo
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2 votes
0 answers
59 views

Question regarding a combinatorial map between two sets for proving hermite identity

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Ciderate
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1 vote
0 answers
69 views

The Newtonian Gravitational field - ode property

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Gonçalo
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0 votes
0 answers
124 views

Autonomous ordinary differential equation

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Gonçalo
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1 vote
1 answer
70 views

Check the DNF of this formula (SymPy)

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Tankut Beygu
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2 votes
0 answers
56 views

On $\sum_{k=0}^{n-1}\,(-1)^k\,\frac{(\pi/2)^{-2k}}{(2n-2k)!}\,\beta(2k+1)$

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Hazem Orabi
  • 5,190
1 vote
0 answers
12 views

Boundary map for Schubert cells

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stranger
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1 vote
0 answers
83 views

Admission Test - Differential Equations

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Gonçalo
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0 votes
1 answer
51 views

Check the convergence of the integration

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Steven
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0 votes
1 answer
1k views

Barred and unbarred systems

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12 votes
3 answers
183 views

Why does $\left(1+\frac1{x-0.5}\right)^x$ converge to $e$ quicker than $\left(1+\frac1x\right)^x\approx e$?

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Maxime Jaccon
  • 1
0 votes
0 answers
23 views

(When) do orientation sections pull back?

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Arnav Das
  • 218
5 votes
2 answers
172 views

Checking if the determinant of a quasi-tridiagonal matrix is nonzero

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Martin R
  • 133k
2 votes
0 answers
77 views

Finite CW complexes that are infinite loop spaces

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user39598
  • 1,751
2 votes
0 answers
82 views

$(X, \Sigma, \mu)$ finite measure space and $(f_n)_{n\in\mathbb{N}}$ is sequence in $L^p(X)$. If $f_n \to f$ uniformly on $X$, then $f \in L^p(X)$.

Alessandro's user avatar
Alessandro
  • 668
2 votes
0 answers
28 views

A straightforward proof of a property of lines enveloping an ellipse using complex numbers : looking for connections

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Jean Marie
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2 votes
2 answers
123 views

Can I move the Lagrange multiplier to the other side?

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Rodrigo de Azevedo
  • 23.6k
2 votes
1 answer
159 views

Valence formula for level 2 modular forms

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Viktor Vaughn
  • 21.2k
1 vote
0 answers
274 views

Criteria for a Regular Singular Point

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Gonçalo
  • 16.6k
0 votes
0 answers
59 views

How do I logically write the solution for a differential equation?

Gonçalo's user avatar
Gonçalo
  • 16.6k
5 votes
1 answer
216 views

Why Bohr's definition of almost periodicity?

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The Other Terry
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1 vote
0 answers
34 views

Simplest Fraction in Interval

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nonhuman
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1 answer
821 views

Prove that $A$ is not diagonalizable

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Rodrigo de Azevedo
  • 23.6k
4 votes
2 answers
142 views
+50

Expected number of lattice points in a randomly inscribed triangle

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Ambrose Rutherford
  • 302
2 votes
0 answers
29 views

The role of the de Rham theorem in $\nabla C^\infty(X)\cong C^\infty_0(X)$

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Nico Zimmer
  • 1,253
2 votes
1 answer
765 views

Proof of positive homogeneity of risk measure

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Rodrigo de Azevedo
  • 23.6k
2 votes
0 answers
22 views

Question on Stokes phenomenon in Picard-Lefschetz theory

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schris38
  • 361
3 votes
2 answers
197 views

Robinson's word vs Rotman's word: can the second be derived from the first?

Paul Frost's user avatar
Paul Frost
  • 92.8k
-1 votes
1 answer
31 views

Finding change of basis matrices in $\mathbb{R}^2$

Átila Correia's user avatar
Átila Correia
  • 19.5k
4 votes
1 answer
2k views

An exercise about the regular Borel measures

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rungo
  • 19
1 vote
0 answers
198 views
+50

$\Omega^1_{k[[X]]/k}$ is not finitely generated over $k[[X]]$

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Stanis LaRochelle
  • 293
1 vote
1 answer
71 views

Any easier ways to prove an explicit form for a generated $\sigma$-algebra besides transfinite induction?

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hasManyStupidQuestions
  • 1,716
10 votes
2 answers
241 views

Polyhedron with least number of vertices whose diagonal faces enclose an interior solid region

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Oscar Lanzi
  • 51.4k
1 vote
1 answer
53 views

Beginning time of i-th excursions of Wiener process is a stopping time?

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John Dawkins
  • 30.3k
0 votes
1 answer
768 views

Set of vectors tangent to $f^{-1}(p) \in \mathbb{R^{n+1}}$ need not be a vector subspace of $\mathbb{R^{n+1}}$

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CommunityBot
  • 1
0 votes
0 answers
108 views

Decomposition of a Schwartz function by Lacey and Thiele

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wuentis
  • 45
7 votes
5 answers
714 views

Canonicity of the push-pull map for sheaves of sets

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AprilGrimoire
  • 567
1 vote
2 answers
124 views

How to decompose $Sym^n V \otimes V$, where V is some irreducible representation?

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Vladimir Lysikov
  • 5,520
5 votes
0 answers
53 views

Cycles and terminating sequences in the recurrence $N_{k+1}=N_k-\operatorname{rev}(N_k)$.

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projectilemotion
  • 16k
2 votes
1 answer
94 views

derivative of integral of a function with respect to the same function

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Abezhiko
  • 15.1k
2 votes
0 answers
84 views

$2^n-1$ can't be a powerful number?

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Lhachimi
  • 636
0 votes
0 answers
16 views

Generalizing the Bellissard non-commutative approach for disordered systems to Hamiltonians of self-similar fractal graphs

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ml0.0 lm
  • 1
2 votes
1 answer
61 views

Do real plane algebraic curves have a factorization corresponding to connected components?

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hbghlyj
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0 votes
0 answers
15 views

Let $r_n$ be the least $N$ s.t. every $p^n$-th power mod $\mathfrak{m}_K^N$ lifts. Do we almost have $r_n=r_{n-1}+e$ for $e$ the ramification index?

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Jianing Song
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1 vote
0 answers
90 views

Can the Impossible Cube be isometrically embedded as geodesics in Nil geometry, just as the Penrose triangle is a geodesic triangle?

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hbghlyj
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1 vote
0 answers
29 views

Are there existing results on the number of solutions to $x^2 - y^2 = n$ in the quadratic ring $\mathbb{Z}_{m}[\sqrt D]$?

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ACBD
  • 11
0 votes
0 answers
9 views

Additive discrete group actions of self-Pontrjagin dual topological rings with pro-Lie stabilizer

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BertrandUtilsworth
  • 11
1 vote
1 answer
68 views

Test the convergence of a series arising from birth-death processes

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The Other Terry
  • 1,999
1 vote
3 answers
190 views

Hints on evaluating $\int_{0}^{k} x J_{n}^2(x) dx$

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Dhaval Bothra
  • 104
0 votes
2 answers
113 views

Direction cosines of a line

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Chicori
  • 3,456
2 votes
0 answers
64 views

similar to a classical geometry result

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moshpit
  • 21
0 votes
2 answers
831 views

Does a real, non-symmetric, non-negative definite matrix have a unique non-negative definite square root?

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1 vote
0 answers
25 views

Formulas to find out the critical limit of decomposing numbers

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Lê Phúc
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20 votes
3 answers
6k views

Radon-Nikodym derivative of product measure

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RobPratt
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