Skip to main content

Explore our questions

0 votes
0 answers
3 views

Determine the convergence behavior of $\sum_{n=1}^{\infty} \frac{a_{n}}{n^x}$

0 votes
1 answer
29 views

Prove that $\sum_{k=1}^{n} \left\lfloor \log_{2}\!\left(\frac{2n}{2k-1}\right) \right\rfloor = n$ where $n$ is a natural number.

0 votes
1 answer
766 views

Obtain (or close to) Identity matrix by multiplying two vectors such as: $D * (C)^H = I$

0 votes
0 answers
15 views

Modelling a dice game without straightforward computation

3 votes
1 answer
55 views

How many components does an arc meet in a continuum

0 votes
1 answer
60 views

Analytic sum of an alternating series involving $n/(n+\sqrt{a^2+n^2})^2$

2 votes
2 answers
443 views

Terminology: Why is it called sheaf Cohomology?

2 votes
3 answers
854 views

Showing $x^4+x^2+x+1$ irreducible over $\mathbb{Z_3}$

2 votes
1 answer
771 views

Absolute value of derivative of complex analytic function

1 vote
2 answers
416 views

Kolakoski sequence

1 vote
0 answers
21 views

Closed form for a symmetric sum of squared binomials

3 votes
1 answer
485 views

No eigenvalue of a graph is larger than the maximum degree

3 votes
2 answers
34 views

The only area–preserving linear symmetry of a strictly convex body fixing a boundary point is the identity?

12 votes
2 answers
1k views

Is the transfer principle useless?

1 vote
0 answers
23 views

Most general Logarithm of a matrix

0 votes
0 answers
12 views

Ideal of maximal minors is radical when rank never drops by more than 1 [Reference request]

3 votes
1 answer
128 views
+50

For which real $\beta$ there exist concave(convex upwards) functions $f, g: (0;1) \to (0;+\infty)$ such that $\frac{f(x)}{g(x)}=(1+x)^\beta$?

4 votes
0 answers
43 views

Homeomorphic smooth Vector bundle that aren't diffeomorphic

12 votes
3 answers
2k views

What is $\mathbb{C}^{\mathrm{Aut}(\mathbb{C}/\mathbb{Q})}$?

0 votes
0 answers
9 views

Study of non linear dynamical system

0 votes
2 answers
782 views

The relation $R$ defined on $\mathbb{Z}$ by $aRb$ if and only if $a=(2^n)b$ prove/disprove symmetry, transitive and reflexive

1 vote
0 answers
136 views

Prob. 7, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: Is $S_{\Omega}$ first-countable? second-countable? separable? Lindelof?

65 votes
2 answers
4k views

When are nonintersecting finite degree field extensions linearly disjoint?

2 votes
1 answer
960 views

How to translate math technical terms?

0 votes
1 answer
2k views

Markov chain having unique stationary distribution

1 vote
1 answer
474 views

If $f$ is absolutely continuous and $g$ is Lipschitz, then $f \circ g$ is absolutely continuous.

-1 votes
0 answers
28 views

Calculate the expected value of a bivariate function

4 votes
2 answers
260 views
+50

What sets of digits can be used to represent all of the real numbers in a ternary numeral system?

9 votes
8 answers
1k views

Is there a nice way to find this integral $\int_0^1\frac{ \arcsin x}{x} \mathrm{d}x$?

4 votes
2 answers
70 views

Construction of a dense linear order with $2^\kappa$ cuts

0 votes
1 answer
45 views

A question concerning the duality bracket of $W^{-1,p'}(\Omega)$ with $W_0^{1,p}(\Omega)$ relevant to $L^2(\Omega)$ inner product

1 vote
0 answers
28 views

Why doesn't Montel's Theorem imply the space of analytic functions is locally compact?

0 votes
2 answers
122 views

Evaluate (when possible) $\sum_{n=0}^{+\infty}\ln\left(2\cos\frac{\alpha}{2^n}-1\right)$

4 votes
2 answers
68 views

Intuition behind using $\pi$-system in Measure Theory

1 vote
0 answers
33 views

Converse of Holder's inequality in the finite case

0 votes
0 answers
18 views

The nature of elements in local rings and local parameters

1 vote
0 answers
30 views

Asymptotic Variance

1 vote
2 answers
325 views

Why isn't this a correct triangulation of the torus/projective plane?

6 votes
2 answers
4k views

Determining whether a number is a 'factorial number'

0 votes
1 answer
53 views

Formula for the number of divisors of an integer

2 votes
3 answers
33k views

Finding the equation of a circle given two points on the circle

2 votes
1 answer
32 views

Upper-bounded version of the Gale-Ryser theorem

1 vote
1 answer
39 views

Counterexample request: $\sigma$-algebra with no smallest set containing a given (non-measurable) set?

3 votes
1 answer
152 views

Real function such that $|f'(x)|\le|f(x)|$ has fixed sign

3 votes
1 answer
70 views

Must every sheaf be a covering space?

1 vote
0 answers
18 views

Prob. 7, Sec. 30, in Munkres' TOPOLOGY, 2nd ed: Is $\overline{S_\Omega}$ first-countable? second-countable? separable? Lindelof?

2 votes
0 answers
29 views

Does Blaschke’s characterization of ellipsoids extend to non-compact convex body?

1 vote
2 answers
94 views

Show that $\frac{\cos(\alpha + \beta)}{\sin(\alpha - \beta)} = \frac{1}{3}$

2 votes
2 answers
221 views

General relation between Jordan measure and Riemann integral

2 votes
1 answer
769 views

Proof that a uniform continuous function preserves uniform convergence of sequence of measurable functions

7 votes
3 answers
282 views

Closed form of $\Omega = \int\limits_3^\infty {\frac{{{x^4}}}{{\sqrt {{{\left( {{x^4} + 2{x^2} + 4} \right)}^3}} }}dx} $

2 votes
2 answers
184 views

Does the Axiom Schema of Separation in any sense "provide" only countably many definitions of subsets of $\mathbb{N}$?

0 votes
1 answer
784 views

Folland Real Analysis Chapter 7 Exercise 12

1 vote
0 answers
54 views

Casting shadows of parametric convex surfaces to arbitrary planes

0 votes
0 answers
19 views

complete theory where cannot omit all non-isolated types

7 votes
1 answer
280 views

How can we calculate the sum of sines or cosines where the angles are in geometric progression?

2 votes
3 answers
2k views

$R = \mathbb{Z}[ i ] / (5)$ is not an integral domain? Why?

2 votes
1 answer
1k views

Difference of statistics of order of a exponential distribution

7 votes
2 answers
922 views

In which sense are the Cauchy-Riemann equations elliptic

3 votes
2 answers
677 views

How do I calculate the first n digits and last m digits of $3^{3^{3^{3^{3}}}}$?

-1 votes
0 answers
61 views

Why is the connection necessary?

1 vote
0 answers
28 views

degeneracy maps when computing limits

11 votes
4 answers
725 views

Closed form solution for $ \int_0^1 x^x (1-x)^{1-x} dx $

3 votes
1 answer
77 views

Conditions to a linear map between tangent spaces being the differential of a isometry

0 votes
1 answer
1k views

Fourier transform of Gaussian noise

1 vote
1 answer
27 views

Family of i.i.d. random variables is ergodic under shift

6 votes
1 answer
64 views

Does the sequence of Stieltjes measures build concentrations?

1 vote
0 answers
19 views

Number of critical points of a homological sphere with dimension three

1 vote
0 answers
34 views

What makes the category of isocrystals over non-algebraically closed field non-semisimple?

1 vote
0 answers
52 views

Convergence of Poincaré Series

0 votes
1 answer
37 views

Show that these intervals are either disjoint or identical and their union has Lebesgue measure lower bound independent of $N$

10 votes
2 answers
336 views

Evaluation of $\int_0^{\frac{\pi}{2}}\frac{f(x)}{2+\sin(x)}dx$

2 votes
2 answers
3k views

Show that $\min(X,Y)$ has geometric distribution

0 votes
0 answers
11 views

Good Textbook or Relevant Literatures for Learning Graph Embedding

3 votes
1 answer
854 views

How to draw level curves for $\frac x{x^2+y^2}$

0 votes
0 answers
37 views

Is it true that $s\in mM$ and $t\in mN$ implies $s\otimes t\in m(M\otimes N)$?

0 votes
0 answers
23 views

How to prove that the moduli space $\mathcal{M}_g$ is Hausdorff using Kuranishi families?

-2 votes
0 answers
33 views

if p is equivalent to 1 (mod d), then $x^d$ being equivalent to 1 (mod $p$) has exactly $d$ solutions modulo $p$.

2 votes
1 answer
191 views

Continuous solutions to a first order PDE

1 vote
0 answers
14 views

Looking for authors/papers in GGT involving piecewise isometries, free group actions, and twisted Ihara zeta functions

3 votes
1 answer
32 views

Does the long exact sequence of a pair for a simplicial complex and a face delete split when the connecting maps are zero?

2 votes
0 answers
53 views

How do you think about uniform continuity?

3 votes
1 answer
87 views

solving $\int \frac{\sqrt{\sin\theta}}{1+\sin^{2}\theta} \, d\theta$

1 vote
0 answers
20 views

Are the motion equations of an optimal control problem geodesics on a manifold?

1 vote
0 answers
17 views

What could have been a good motivation / intuition behind the Dorfman Bracket condition?

4 votes
1 answer
96 views

Can a hemispherical surface be flattened if tearing is allowed but no stretching is allowed in the interiors

3 votes
0 answers
36 views

Do fiberwise homotopy groups define a local system?

3 votes
1 answer
30 views

Known properties of these generalized Cauchy distributions

4 votes
1 answer
184 views

Examples of countable non-commutative division rings

0 votes
1 answer
61 views

Where does this partition-of-unity argument not work in general?

5 votes
2 answers
320 views

Checking if a matrix has support

0 votes
1 answer
97 views

Ahlfors Laurent Series Coefficients

0 votes
1 answer
75 views

First Chern class of a line bundle

11 votes
2 answers
1k views

Is this formula for cosine correct? (And is it significant)

3 votes
1 answer
95 views

Compactness through Scott topology on the poset of open subsets

1 vote
1 answer
73 views

Topology literature focusing on continuous functions and measures

Browse more Questions