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Interesting 16 Bountied Hot Week Month
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If $\varphi(f)$ is Riemann integrable for each $\varphi \in E^*$, then is $f$ Riemann integrable?

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Gonçalo
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How many vertices does $(\Bbb{T}^2)^{\#g}$ have?

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John Lee
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4 votes
4 answers
667 views

On the proof of Buckingham π theorem

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Moishe Kohan
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0 answers
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Applying Leibniz's Rule to Double Integrals with Variable Limits

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Abel
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3 votes
4 answers
226 views

How to find the maximum length of chord cut by a right angle inside a circle

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Li Kwok Keung
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0 answers
3 views

Conditions for a Fourier-windowed quadratic form to define a finite-range or exponentially decaying interaction?

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Creator
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Changing the order of integration in an iterated integral with a single varible function

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1 answer
895 views

Multinomial Distribution to Binomial Distribution and Joint Probability Function

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Restrictions of Knight's Tour on Circular Board

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5 votes
4 answers
326 views

If $a^2+b^2+c^2=1$ so $\sum\limits_{cyc}\frac{1}{(1-ab)^2}\leq\frac{27}{4}$

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River Li
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58 views

Example of the $\mathrm{dim}A > \mathrm{depth}A$

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Micheal Brown
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1 answer
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Any 'locally butterfly' graph be constructed as line graph from a 3-regular, triangle-free graph: Can this be generalized to locally windmill graphs?

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Misha Lavrov
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5 votes
1 answer
97 views

Quintic residues and $p=x^2+125y^2$

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Will Jagy
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3 votes
3 answers
145 views

Complex logarithm base 1

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Anixx
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1 answer
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Solving $\sin(x) + \sin\left(2^{(n+12)/12}x\right) = \sin(x+w) + \sin\left(2^{(n+12)/12}(x+w)\right)$ for $w$

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2 votes
1 answer
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Simplify expression for lemniscate tangent function

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Blue
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a complete theory in a countable language with countably many types but uncountably many countable models

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Anonymous Anonymous
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1 answer
799 views

Jensen inequality for concave functions

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RobPratt
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The set $\mathcal{S}(R)$ of all radical ideals of a ring $R$ might form a boolean ring with $\circ=$ ideal addition and $\oplus=$ a certain quotient.

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Luna's Chalkboard
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2 votes
1 answer
97 views

Reversibility of a random walk

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John Dawkins
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1 vote
1 answer
48 views

Possible arrangements for any n number of distinct cubes

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directoryofgod
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2 votes
1 answer
757 views

Element with maximum magnitude in $A \leq \max(\sigma_{i})$, where $\sigma_{i}$ is singular values of A

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Seeking resources about multiple directed acyclic graphs/topological orderings

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Rocco
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2 votes
1 answer
135 views

Is my understanding correct about the inverse relationship between derivatives and integrals?

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Jean Marie
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2 votes
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Chern class of tangent bundle of hypersurface of CP^n viewed as complex of coherent sheaves

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Reginald Anderson
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0 answers
106 views

Why do vectors behave as derivation on functions

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1 answer
787 views

Number Plate Problem

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4 votes
1 answer
192 views

Generalization of Schwarz's Lemma

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David Goldberg
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2 answers
197 views

Maximum Travelling Salesman Problem on the integer line

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tkf
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37 views

Tricks for Computing the Center of a Group

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Vincent Tran
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0 answers
54 views

Definition of hyperprojective sets

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n901
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0 answers
300 views

Is the Imaginary Golden Ratio Unique?

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0 answers
49 views

Central Limit Theorem via Fixed Point Theorem and Entropy

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inkievoyd
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1 vote
2 answers
149 views

Prove that the iterate $f^{n}$ is a constant function.

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PunkZebra
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2 votes
1 answer
765 views

Convergence in norm independent of the choice of the norm.

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2 votes
1 answer
568 views

Choosing distinct balls to put into identical urns.

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Henry
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3 answers
126 views

How does $ \frac{(x+1)^2}{x^{3/2} + 1 - \sqrt{x}} \cdot \frac{1}{x - \sqrt{x}}$ become $\sqrt{x} + \frac{1}{\sqrt{x}} $?

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Stephan
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3 votes
1 answer
72 views

Invariant trees of outer automorphism of free groups

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Lee Mosher
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2 answers
770 views

Does $Ax=b$ have a solution for every vector $b$ in $\mathbb{R}^3$

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2 votes
1 answer
86 views

Book Recommendation for Vector Bundles

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Man-I-Fold
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27 views

Decomposition of von Neumann algebra in semi-finite and purely infinite part

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David Gao
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1 answer
57 views

Does there exist a prime decomposition for every possible combination of ramification and inertia degree

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dummy
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0 answers
92 views

Is the proposition $P$ equivalent to the axiom of regularity

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Tankut Beygu
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1 answer
82 views

Why don’t textbooks mention the 2-dimensional metric completion model of $S^2$?

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Lee Mosher
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8 votes
3 answers
284 views

Why is there no Euclidean Algorithm for the least common multiple (lcm)?

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DanielV
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3 votes
0 answers
358 views
+50

Maximizing count of subsequences for 3 or more permutations.

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Dair
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0 answers
36 views

Probabilistic behavior of Carmichael numbers

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AAQU
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2 votes
1 answer
256 views

Symmetric product of projective planes

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secretGarden
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14 votes
2 answers
618 views

Confusion about differentials

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Toby Bartels
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0 answers
16 views

isometry group of an orbifold is the quotient of the isometry group of its cover

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Linda Green
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Proof of Euler identity using ODE

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M.B
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-2 votes
1 answer
198 views
+200

Pigeonhole principle based measure

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Ramiro
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7 votes
5 answers
389 views

Prove $\int_0^af(x)\mathrm dx\ge a\int_0^1f(x)\mathrm dx$ for decreasing function

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Zarrax
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5 votes
6 answers
264 views

Find the ratio $\frac{AC}{BC}$ given a specific configuration of equilateral triangles around a right triangle(need Euclidean geometry approach)

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dfnu
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110 votes
4 answers
6k views

Does this property characterize a space as Hausdorff?

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tkf
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1 vote
0 answers
44 views

The Intuition behind the nim game and the XOR?

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Thomas Andrews
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7 votes
1 answer
761 views

Relative effective Cartier divisors

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CommunityBot
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2 votes
2 answers
202 views

Is $\varphi = \frac{3\cdot 7\cdot 11\cdot\dots\cdot 599}{5\cdot 9\cdot 13\cdot\dots\cdot 601}$ greater than, less than, or equal to $\frac{1}{13}$?

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2'5 9'2
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24 votes
2 answers
60k views

Proof relation between Levi-Civita symbol and Kronecker deltas in Group Theory

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Antonio
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0 answers
29 views

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

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hasManyStupidQuestions
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11 votes
1 answer
467 views

Prove that $\int_0^1 |f(x) - g(x)| dx \leq \frac{1}{2}$ for two increasing functions in a $1 \times 1$ square

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José Carlos Santos
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15 votes
0 answers
407 views
+100

Determining whether $A\subset X = \left\{0,1,\ldots,n\right\}$ can be written as $A=B+C$

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RobPratt
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1 vote
0 answers
43 views

Does each partial derivative vanish on the path from a local to a global minimum?

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Paul Frost
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3 answers
768 views

Prove linearity of map involving dual space

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Find the locus that divides the line joining a point and any arbitrary point on the circumference of a circle in a fixed ratio

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ryang
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3 votes
1 answer
75 views

Prove $\frac{x^{2^n}-1}{x^{2^m}-1}$ is not a perfect square when $n, m$ have different parity

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Haran
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1 vote
0 answers
55 views

Difficulties in explicitly constructing the "cap" bordism

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GeometriaDifferenziale
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0 votes
1 answer
922 views

How to transform a random variable from [0,1] to correspond to a probability density function

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3 votes
0 answers
97 views

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

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thedeepdeepsky
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1 vote
0 answers
67 views

Solving second order differential equation graphically

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Gonçalo
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1 answer
39 views

Matrices that are related to their transpose via diagonalizable matrices

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user1551
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2 votes
1 answer
66 views

Are analytifications in Berkovich geometry strict k-analytic spaces?

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Leon Schropp
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6 votes
3 answers
256 views

Prove $ a+b+c \ge ab+bc+ca $ from $ab+bc+ca+abc=4$ (from AoPS discussion)

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Ivan_Rogers
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0 answers
68 views

From sum of three cubes to Desboves/Selmer elliptic curve

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Dmitry Ezhov
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0 votes
0 answers
22 views

Showing that the trace of the difference of the square of the curvatures of two connections on a vector bundle is exact

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user302934
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2 votes
0 answers
39 views

Area estimate of the intersection of ball and sphere

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Alessandro
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1 vote
0 answers
30 views

What are applications of inprimitive Dirichlet characters and associated L-functions?

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Arsenniy
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1 vote
0 answers
45 views

geometric problem for spiral similarity

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Mateo
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0 votes
0 answers
34 views

Construction of Base Change/Comparison Map $g^*f_*F \to f'_* g'^*F$

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user267839
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1 vote
0 answers
104 views

Correspondence Local Systems & $\Bbb Z \pi_1(A)$-modules and its Compatibility

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user267839
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1 answer
788 views

What is eigenvalue decay?

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2 votes
1 answer
117 views
+50

Closure operator over simplicial complex

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Alma Arjuna
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1 vote
1 answer
42 views

$\beta$ reduction rule for $\Pi$-types on free variables

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Naïm Camille Favier
  • 6,449
10 votes
3 answers
464 views

Formula for the number of divisors of an integer

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Thinh Dinh
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0 answers
41 views

Factorization of a rotation matrix into the product to three rotation matrices

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Afntu
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7 votes
2 answers
3k views

Hatcher exercise 2.1.6 (Simplicial homology)

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2 votes
0 answers
17 views

Solution to a Constrained Optimal Control Problem: Is $v(t) = S/T$ Optimal

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thedeepdeepsky
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2 votes
0 answers
65 views

Generalizing integration of $[0,+\infty]$ valued functions

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Olivier Bégassat
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4 votes
0 answers
207 views
+100

Can this angle triplication construction be considered as a proof of Morley theorem?

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Arjen Dijksman
  • 227
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1 answer
770 views

Lorenz curve and Gini index using PDFs

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CommunityBot
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1 vote
2 answers
121 views

Cubic equation conditions

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mezzoctane
  • 1,573
2 votes
1 answer
762 views

Calculating cumulative Markov Chain outcomes

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1 vote
0 answers
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Is it plausible to express $1\cdot 5\cdot 9\cdots(4n-3)$ and $7\cdot 11\cdot 15\cdots(4n+3)$ into a single factorial?

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user516076
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1 answer
46 views

Mac Lane's characterization of bifunctors in terms of one-variable functors

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Naïm Camille Favier
  • 6,449
2 votes
3 answers
183 views

How to solve $ \lim\limits_{x\to+\infty} \!\!\left(\! \frac{x^{2}+3}{3x^{2}+1}\! \right)^{\!x^{2}}\!\!\!=0\;?$

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Átila Correia
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1 vote
0 answers
35 views

Calculation of lower branch of Lambert W-function based on root of principal branch

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Sergey Kushneryuk
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