Skip to main content

Explore our questions

0 votes
0 answers
23 views

Attempt to construct every tuple and show that there are $\epsilon_0$ of them

0 votes
0 answers
7 views

Possible typo in Wikipedia’s definition of isotropic and coisotropic submanifolds on the ‘Symplectic manifold’ page

7 votes
2 answers
812 views

About ordinals and cardinals in structural set theory

2 votes
1 answer
414 views
+200

Help in ensuring divergence of electric field of a cubic body in free space is zero after finding the electric field : Part 2

6 votes
3 answers
11k views

If $f$ is an entire function that goes to infinity, $f$ is a polynomial

3 votes
2 answers
28 views

Find the ratio of $BA:AC:CB$ if a certain point $D$ on triangle $\triangle ABC$ satisfies a ratio

3 votes
2 answers
257 views

How to prove $\left(\int_{0}^{\infty}x^{-1/4}e^{-x}dx\right)^4\left(\int_{0}^{1}\frac{dt}{\sqrt{1-t^4}}\right)^2=\frac{\pi^3}{8}$?

119 votes
1 answer
4k views

Finding primes so that $x^p+y^p=z^p$ is unsolvable in the $p$-adic units

1 vote
0 answers
22 views

Understanding modular curves as "moduli of Hodge structures"

0 votes
0 answers
14 views

Integrating the function from 0 to infinity rootx sinx using Gamma Function

0 votes
0 answers
7 views

Let $V$ be a vector space, and $M$ be a subspace of $V$.Show $V'/M^0$ is isomorphic to $M'$

0 votes
1 answer
45 views

Pivot From a (Sufficient) Statistic

0 votes
1 answer
807 views

Law of a random variable

0 votes
1 answer
56 views

Combinatoric solution to an Oxford interview question about replacing terms in a sequence

21 votes
4 answers
2k views

Atiyah and MacDonald, Proposition 2.4

0 votes
0 answers
53 views

Demonstration of $ \left( 1+\varepsilon \right)^{x}\ge1+x\varepsilon $

7 votes
4 answers
199 views

Find the measure of $∠OTS$ in a circle

-1 votes
0 answers
29 views

$f^{\flat}_{f(x)} = f^{\sharp}_{x}$ when $f : X \to Y$ is a topological open ( or closed ) embedding?

0 votes
0 answers
13 views

Origin of general operator involving infinite sum of successively iterated operator

1 vote
1 answer
68 views

Making $x$ the subject of $x^x + x = y$

0 votes
2 answers
799 views

Find the arc length of the graph of the given equation from $P$ to $ Q$ or on the specified interval.

885 votes
60 answers
157k views

Different ways to prove $\sum_{k=1}^\infty \frac{1}{k^2}=\frac{\pi^2}{6}$ (the Basel problem)

0 votes
1 answer
135 views

Why is the natural log added to a differentiable function?

4 votes
2 answers
424 views

During constrained optimization with inequalities why must the gradient of the objective be in the same direction as the gradient of the constraint?

1 vote
1 answer
31 views

Composing Hodge star and contraction (interior product)

1 vote
0 answers
84 views

How do I prove the change of variables into polar coordinates using measure theory?

3 votes
1 answer
76 views

Optimizing area between $\cos\left(3x-k\right)$ and $\sin\left(2\left(x+k\right)\right)$.

11 votes
2 answers
1k views

I found a way to multiply numbers, is this a new method or someone else had already found this?

2 votes
1 answer
802 views

Stokes' Theorem and Surface Independence Failure

2 votes
2 answers
48 views

Prove isosceles right triangle ($45^{\circ}$ angles) with angle chasing

8 votes
1 answer
302 views
+100

Prove that a bivariate quartic polynomial can never be a perfect square

12 votes
3 answers
289 views

Maximizing $\int_{0}^{1}f(x)$d$x$ given $\int_{0}^{1}xf(x)$d$x=0.$

1 vote
1 answer
57 views

Is the MRB constant possibly rational, given its Abel-regularized double-series form?

0 votes
1 answer
76 views

Weaker notion of a complex derivative

1 vote
1 answer
808 views

Positive definiteness of matrix A.

0 votes
0 answers
64 views

Help with simplifying this integral

1 vote
2 answers
63 views

Monads and list filtering

1 vote
1 answer
832 views

Solution to $y''-axy'-by=0$?

1 vote
0 answers
25 views

Fundamental group of compact Riemann surface

133 votes
11 answers
116k views

Prove that every convex function is continuous

9 votes
1 answer
184 views

On the rigor of improper integrals

1 vote
1 answer
40 views

General formula for matrix representing the wedge product with respect to the lexicographical ordering

1 vote
1 answer
35 views

symmetry of a polytope after mapping one facet

3 votes
1 answer
916 views

Find minimal sufficient statistics and ML estimator

0 votes
1 answer
38 views

How to compute narrow class group?

4 votes
2 answers
364 views

Smaller cardinality iff injection

3 votes
1 answer
130 views

Iranian combinatorics olympiad 2024 problem 3

0 votes
1 answer
41 views

The existence of a law of composition such that every permutation is an isomorphism implies that the base set has 0, 1 or 3 elements

1 vote
0 answers
83 views

How many colours do we need to colour the points in $\mathbb{Z}^{n}$?

0 votes
1 answer
815 views

Is there z score and t score formulas reference sheet for the different scenarios of hypothesis tests?

3 votes
1 answer
108 views

Exchanging the strong limit and the trace in Lie-Trotter

-2 votes
3 answers
133 views

Prince Rupert's cube - isn't the cube-of-the-same-size problem trivial?

0 votes
0 answers
35 views

Closed form of Homogeneous Linear Recurrence Relations

0 votes
0 answers
11 views

Finitistic projective dimension of commutative rings of finite weak global dimension

2 votes
1 answer
144 views

How to break the cases when we have more than two random variables involved with algebra of modulus quantities?

1 vote
1 answer
107 views

Gradient Theorem Motivation via Generalized Stokes' and the Musical Isomorphisms

-1 votes
0 answers
114 views

Proof for $\operatorname{ht}\mathfrak{p}$+$\operatorname{coht}\mathfrak{p}= n$

0 votes
0 answers
20 views

Distance Coordinates on Riemannian Manifolds (Peter Peterson's book)

1 vote
1 answer
172 views

Is the Law of Excluded Middle needed to prove $(\alpha \to (\beta \land \lnot\beta)) \to \lnot\alpha$?

1 vote
3 answers
3k views

Show that the line with parametric equations don't intersect

3 votes
0 answers
90 views

First eigenfunction of Laplace-Beltrami Operator

1 vote
0 answers
22 views

Tensor-Hom Isomorphism for maximal Cohen-Macaulay Modules

2 votes
1 answer
89 views

Is a topology determined by its converging nets?

1 vote
2 answers
68 views

Is being regular an étale-open condition for closed immersions of locally Noetherian schemes?

1 vote
0 answers
30 views

Cancelling factors in isogenies between elliptic curves

1 vote
1 answer
51 views

Is the projective special orthogonal group PSO(2,R) not isomorphic to the special orthogonal group SO(2,R)? If not, in what way?

1 vote
1 answer
637 views

show that $ A_n \cup B_n \to A \cup B$ and $ A_n \cap B_n \to A \cap B$

4 votes
1 answer
107 views

Sheafification of hypercohomology

1 vote
0 answers
2k views

Can I use Strong Induction to prove graph theory? - Hamilton Path/Tournament Graphs

1 vote
1 answer
1k views

Slot size bound for chaining

3 votes
1 answer
111 views

Nested radicals built from primes and a possible convergence pattern

0 votes
0 answers
82 views

Spivak Chapter 7, Problem 19b: Continuity

1 vote
1 answer
107 views

On the number of integer solutions of the diophantine equation $x^n+a_nx^{n-1}+\dots+a_1x+a_0=y^n$ for $n\gt1$

8 votes
0 answers
177 views
+150

An integral of Hurwitz zeta function $\int_0^1 \zeta(\frac13,x) \zeta(\frac13,1-x)^2 dx$

1 vote
1 answer
88 views

Define $\neg\phi$, $\phi\lor\psi$ and $\phi\land\psi$ using only $\rightarrow$ and $\bot$

1 vote
0 answers
188 views

Intuition for $\mathbb{E}[\tau]=\infty$ but $\mathbb{P}(\tau = \infty)=0$

0 votes
0 answers
78 views

A question on intuition behind the Fundamental Theorem of Calculus

1 vote
1 answer
51 views

Question regarding proof of Conservative Vector Fields Theorem

1 vote
1 answer
810 views

Profinite Group, Compact Hausdorff Totally disconnected topological group

1 vote
0 answers
49 views

$\Re (\zeta (s)) > 0$ for $\sigma > 1$

-2 votes
0 answers
28 views

Do the Progressive Division Mechanism (PDM) and Common Square Method (CSM) yield results consistent with classical combinatorial counting?

0 votes
0 answers
91 views

Computing $P$ from $H$ in $H = - P \log_2 P$

0 votes
1 answer
36 views

The construction of the natural map in the external product for Tor

2 votes
0 answers
51 views

Genus of a surface embedded in $(\mathbb R/\mathbb Z)^3$

6 votes
7 answers
1k views

Solving system of equations with one affine and two cubic equations

1 vote
0 answers
31 views

Ascending chain for finitely generated modules.

2 votes
0 answers
52 views

Simplified Proof that Connected, Locally Separable Metric Space is Separable

1 vote
0 answers
21 views

How could this group scheme over $R_h$ decent to $R$? (Group Schemes, Formal Groups, and p-Divisible Groups written by S. S. Shatz)

-1 votes
0 answers
76 views

Clarification on interpretation of claimed factoring complexity (GNFS)

0 votes
0 answers
12 views

Given stopping times $S_k$ such that almost surely $S_k=T$ for some $k\in\mathbb{N}$, are there stopping times $T_k$ converging in probability to $T$?

0 votes
1 answer
38 views

How to find the number of valid schedules after expressing the four logical conditions?

2 votes
1 answer
50 views

Restriction of a torus invariant divisor to an affine toric subvariety

20 votes
3 answers
5k views

Convolution intuition: clarifying Terence Tao's "blurring"/"fuzz" interpretation

0 votes
0 answers
43 views

Question about the Amalgamation Property

2 votes
2 answers
142 views

Why is there an $N(\varepsilon)$ such that $|P_n(x)-F(x)|\le 2\varepsilon,\ \forall x\in[0,1]$ in the Weierstrass approximation theorem?

1 vote
1 answer
82 views

Schwartz kernel mapping

Browse more Questions