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Interesting 10 Bountied Hot Week Month
5 votes
3 answers
149 views

Hint to solve geometry question with angle bisector

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dfnu
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1 vote
1 answer
26 views

Expectation of an absolute value

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Eric_
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4 votes
1 answer
25 views

Evaluate: $4^9-\binom{8}{1}4^8+\binom{7}{2}4^7-\binom{6}{3}4^6+\binom{5}{4}4^5$

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匚ㄖㄥᗪ乇ᗪ
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1 answer
32 views

Closed form for a symmetric sum of squared binomials

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pioo
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4 votes
4 answers
274 views
+50

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

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Daniel Smania
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0 answers
25 views

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

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0 answers
11 views

In the Pell's equation $a^2-2b^2=1$, is $a$ always of the form $k^2\pm 1$?

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Dmitro
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0 answers
14 views

Set-theoretical conventions in Pedersen's Analysis Now

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2 answers
47 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.

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Anshul Prajapati
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1 answer
30 views

Is the complement of the closure of $x^{n_1} + y^{n_2} = z^{n_3}$ for all positive integers $n_i$ given by these two regions?

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Christophe Boilley
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2 votes
1 answer
713 views

Retract of a CW-complex

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Alexis
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0 answers
18 views

Modelling a dice game without straightforward computation

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Jack Meow Meow
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1 answer
766 views

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

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3 votes
1 answer
56 views

How many components does an arc meet in a continuum

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David Hartley
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0 votes
1 answer
67 views

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

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PierreCarre
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2 votes
2 answers
452 views

Terminology: Why is it called sheaf Cohomology?

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Amelia Tearheart
  • 145
2 votes
3 answers
859 views

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

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Jianing Song
  • 2,781
2 votes
1 answer
772 views

Absolute value of derivative of complex analytic function

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1 vote
2 answers
419 views

Kolakoski sequence

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Ciro Santilli OurBigBook.com
  • 1,249
3 votes
1 answer
489 views

No eigenvalue of a graph is larger than the maximum degree

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minh quý lê
  • 233
3 votes
2 answers
37 views

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

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Christophe Boilley
  • 12.4k
12 votes
2 answers
1k views

Is the transfer principle useless?

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Mikhail Katz
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1 vote
0 answers
27 views

Most general Logarithm of a matrix

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lambda
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0 answers
12 views

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

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Leobeth
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3 votes
1 answer
132 views
+50

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

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pioo
  • 523
4 votes
0 answers
46 views

Homeomorphic smooth Vector bundle that aren't diffeomorphic

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Manuel Bonanno
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12 votes
3 answers
2k views

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

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Martin Sleziak
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0 votes
0 answers
13 views

Study of non linear dynamical system

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thibault_student
  • 245
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2 answers
783 views

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

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artemetra
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0 answers
141 views

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

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Tankut Beygu
  • 4,856
65 votes
2 answers
4k views

When are nonintersecting finite degree field extensions linearly disjoint?

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Martin Sleziak
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2 votes
1 answer
961 views

How to translate math technical terms?

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0 votes
1 answer
2k views

Markov chain having unique stationary distribution

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1 vote
1 answer
474 views

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

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Venediktov
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-1 votes
0 answers
28 views

Calculate the expected value of a bivariate function

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9 votes
8 answers
1k views

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

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Integreek
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4 votes
2 answers
70 views

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

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Holo
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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

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daw
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1 vote
0 answers
30 views

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

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2 answers
123 views

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

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zaknenou
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4 votes
2 answers
68 views

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

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Michael Greinecker
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1 vote
0 answers
33 views

Converse of Holder's inequality in the finite case

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0 answers
20 views

The nature of elements in local rings and local parameters

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zyy
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1 vote
0 answers
30 views

Asymptotic Variance

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SATYA
  • 87
1 vote
2 answers
326 views

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

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Wei Xia
  • 922
6 votes
2 answers
4k views

Determining whether a number is a 'factorial number'

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Will.Octagon.Gibson
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0 votes
1 answer
56 views

Formula for the number of divisors of an integer

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Dietrich Burde
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2 votes
3 answers
33k views

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

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CommunityBot
  • 1
2 votes
1 answer
32 views

Upper-bounded version of the Gale-Ryser theorem

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Sacha Bernheim
  • 26
1 vote
1 answer
39 views

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

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Michael Greinecker
  • 35.4k
3 votes
1 answer
153 views

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

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van der Wolf
  • 6,213
3 votes
1 answer
71 views

Must every sheaf be a covering space?

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Elia Immanuel Auer
  • 4,822
1 vote
0 answers
19 views

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

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Saaqib Mahmood
  • 27.8k
2 votes
0 answers
30 views

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

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hbghlyj
  • 6,005
1 vote
2 answers
97 views

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

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Renato C
  • 101
2 votes
2 answers
221 views

General relation between Jordan measure and Riemann integral

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D.R.
  • 11k
2 votes
1 answer
769 views

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

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7 votes
3 answers
284 views

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

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Paramanand Singh♦
  • 92.9k
2 votes
2 answers
185 views

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

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Chad K
  • 5,547
0 votes
1 answer
784 views

Folland Real Analysis Chapter 7 Exercise 12

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1 vote
0 answers
54 views

Casting shadows of parametric convex surfaces to arbitrary planes

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  • 6,005
0 votes
0 answers
19 views

complete theory where cannot omit all non-isolated types

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Anonymous Anonymous
  • 87
7 votes
1 answer
282 views

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

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Dhairya Kumar
  • 49
2 votes
1 answer
1k views

Difference of statistics of order of a exponential distribution

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7 votes
2 answers
922 views

In which sense are the Cauchy-Riemann equations elliptic

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subrosar
  • 5,300
3 votes
2 answers
678 views

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

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Gonçalo
  • 16.5k
-1 votes
0 answers
61 views

Why is the connection necessary?

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Pierre MATSUMI
  • 1,017
1 vote
0 answers
29 views

degeneracy maps when computing limits

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user14411
  • 671
11 votes
4 answers
726 views

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

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Sangchul Lee
  • 185k
3 votes
1 answer
78 views

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

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Moishe Kohan
  • 113k
0 votes
1 answer
1k views

Fourier transform of Gaussian noise

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1 vote
1 answer
27 views

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

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kodlu
  • 10.5k
6 votes
1 answer
64 views

Does the sequence of Stieltjes measures build concentrations?

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Sangchul Lee
  • 185k
1 vote
0 answers
19 views

Number of critical points of a homological sphere with dimension three

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  • 797
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0 answers
35 views

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

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KReiser
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1 vote
0 answers
53 views

Convergence of Poincaré Series

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Tommy Soon
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1 answer
37 views

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

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Bruno Andrades
  • 5,183
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0 answers
11 views

Good Textbook or Relevant Literatures for Learning Graph Embedding

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psmuler
  • 1
3 votes
1 answer
854 views

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

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0 answers
39 views

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

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王夏辉
  • 305
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0 answers
24 views

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

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Framate
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2 votes
1 answer
191 views

Continuous solutions to a first order PDE

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Gonçalo
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1 vote
0 answers
14 views

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

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J. Zimmerman
  • 1,159
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?

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John Palmieri
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0 votes
3 answers
178 views

Can the definition of the Beta function be proved by expanding the integral?

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Hayashi Yoshiaki
  • 261
3 votes
1 answer
87 views

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

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OscarTheGrumpyGrouch
  • 120
1 vote
0 answers
20 views

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

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Meclassic
  • 502
1 vote
0 answers
17 views

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

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Kishalay Sarkar
  • 4,406
3 votes
1 answer
390 views

How to approach learning differentiation?

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7 votes
3 answers
267 views

Telescopic series: how to identify it after breaking it down into partial fractions?

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RobPratt
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3 votes
0 answers
36 views

Do fiberwise homotopy groups define a local system?

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Frank
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1 answer
104 views

Two (non compatible) ways of describing the locus $\{ z(\overline{z}+2)=3: z \in \mathbb{C}\}$ Which one is wrong?

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RobPratt
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3 votes
0 answers
31 views

Unconstrained counterexample to "Hessian-weighted" log-Sobolev inequality

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Kevin Tian
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1 answer
62 views

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

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Paul Frost
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2 answers
7k views

Advantages and disadvantages of EKF versus UKF

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Rodrigo de Azevedo
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6 votes
1 answer
209 views

Why is every threshold for random groups a rational number?

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