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Interesting 16 Bountied Hot Week Month
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How many vertices does $(\Bbb{T}^2)^{\#g}$ have?

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John Lee
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4 answers
661 views

On the proof of Buckingham π theorem

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

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

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

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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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4 answers
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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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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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If $\varphi(f)$ is riemann integrable for each $\varphi \in E^*$, then is $f$ riemann integrable?

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

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Will Jagy
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3 answers
143 views

Complex logarithm base 1

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Anixx
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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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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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Jensen inequality for concave functions

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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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Reversibility of a random walk

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John Dawkins
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1 answer
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Possible arrangements for any n number of distinct cubes

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

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

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105 views

Why do vectors behave as derivation on functions

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1 answer
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Number Plate Problem

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1 answer
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Generalization of Schwarz's Lemma

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2 answers
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Maximum Travelling Salesman Problem on the integer line

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Tricks for Computing the Center of a Group

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Vincent Tran
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Definition of hyperprojective sets

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Is the Imaginary Golden Ratio Unique?

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Central Limit Theorem via Fixed Point Theorem and Entropy

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2 answers
149 views

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

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2 votes
1 answer
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Convergence in norm independent of the choice of the norm.

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1 answer
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Choosing distinct balls to put into identical urns.

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Henry
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3 answers
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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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1 answer
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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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Book Recommendation for Vector Bundles

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

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David Gao
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1 answer
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Does there exist a prime decomposition for every possible combination of ramification and inertia degree

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

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Tankut Beygu
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1 answer
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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
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Probabilistic behavior of Carmichael numbers

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AAQU
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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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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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1 answer
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+200

Pigeonhole principle based measure

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Ramiro
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7 votes
5 answers
388 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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The Intuition behind the nim game and the XOR?

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Thomas Andrews
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1 answer
761 views

Relative effective Cartier divisors

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

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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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0 answers
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From sum of three cubes to Desboves/Selmer elliptic curve

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Dmitry Ezhov
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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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0 answers
30 views

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

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Arsenniy
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0 answers
45 views

geometric problem for spiral similarity

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Mateo
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0 answers
33 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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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
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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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106 views

How to integrate $\int \frac{4x^5 + 3x^2 - 1}{(2x^6 + x^3 - x + 7)^4}\,\mathrm{d}x$ analytically?

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thedeepdeepsky
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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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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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0 answers
58 views

Quotient of $\mathrm{GL}_2(\mathbb{C})$ by a finite group

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secretGarden
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3 votes
1 answer
85 views

Compute $\int\left(5\cos^3(t)-6\cos^4(t)+5\cos^5(t)-12\cos^6(t)\right)\,\mathrm{d}t$ using some results in Linear Algebra

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ultralegend5385
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Equisatisfiable and its conditions

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AAA
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3 answers
8k views

How to solve the Sylvester matrix equation $AX+XB=C$ for $X$?

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Rodrigo de Azevedo
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5 votes
2 answers
194 views

Prove $\frac{(1+x)^{0.25}}{(y-1)^{0.25}+(1-x)^{0.25}}+\frac{(1-x)^{0.25}}{(y-1)^{0.25}+(1+x)^{0.25}}+\frac{(y-1)^{0.25}}{2}\ge 1.5$

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River Li
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2 votes
1 answer
252 views

Is the one-dimensional time-independent Schrödinger equation solvable in potential (1+Tanh(x+1))(-1+Tanh(x-1))

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138 Aspen
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1 answer
166 views

Integral of lemniscate tangent function

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user1658693
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1 answer
903 views

Intuition behind gradient being linear combination of constraint gradients in Lagrange multipliers

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6 votes
3 answers
413 views

Solving $1 + x\cos(ωx) + \sin(ωx)=0$ for $x$. Is there a closed form?

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Átila Correia
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