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2 votes
1 answer
96 views

Interpreting principal curvatures

2 votes
1 answer
86 views

How are these two (seemingly) different definition of the differential compatible?

0 votes
1 answer
48 views

Place bombs randomly in an $n×n$ Grid: What's the expected number of bombs needed?

14 votes
2 answers
338 views

Conjectured continued fraction for $\prod_{0 \leq n} \frac{1 + (3 - 2 \sqrt2)^{4n+1}}{1 + (3 - 2 \sqrt2)^{4n+3}}$

1 vote
0 answers
43 views
+50

Unique reachability of a nonnegative configuration under local updates on a cycle

2 votes
1 answer
607 views

Itensity of a compensator

0 votes
0 answers
47 views
+50

Permutations with doubling (mod $n$) constraints and Hamiltonian cycles

6 votes
3 answers
226 views

How do mathematics define a point?

2 votes
0 answers
74 views
+50

A congruence of quartic residues modulo a prime and a sumset approach

0 votes
0 answers
10 views

Rearranging Columns in a Colored Cube

-1 votes
0 answers
26 views

Background logic of $a^n = a \times a \times ... \times a$

3 votes
3 answers
64 views

How to prove that four points are concyclic under these given conditions?

0 votes
0 answers
13 views

Optimal betting in game of chance with negative expectation?

-1 votes
4 answers
141 views

Taking the square root of both sides of $y^2<4x$

-1 votes
0 answers
20 views

Help on exercise 2.3b of Rijke’s Introduction to Homotopy type theory

3 votes
1 answer
65 views
+250

Why are PROPS and their morphisms strict?

4 votes
2 answers
243 views

Fourier transform of $1/|k|^4$ in 2d

3 votes
0 answers
116 views
+50

How to extend the following approximations of LogSumExp function into $N$ variables? (metrics defined in question)

3 votes
0 answers
37 views

What is the rigorous definition of a boundary layer?

2 votes
1 answer
621 views

How do bookmakers set their odds?

0 votes
1 answer
25 views

When is the localization $S^{-1}A$ of a domain $A$ free as an $A$-module?

6 votes
3 answers
492 views

How to prove the parallelogram law from some axioms?

-2 votes
2 answers
618 views

Decomposing a composite function with only one generating function known

1 vote
0 answers
60 views

Determine orientation and center of an ellipsoid with known semi-axes such that it is tangent to a given cone

5 votes
0 answers
107 views
+300

Local presentability of the category of normed vector spaces

4 votes
1 answer
790 views

Travelling Salesperson Problem on the unit sphere

7 votes
1 answer
104 views

Proving that $E_{\gamma }\left( z \right) \cdot E_{\gamma }\left( -z \right) \geqslant 1$

1 vote
3 answers
1k views

Show that $K=\{T\in\mathcal{L}(V,W): T\ \text{not injective}\}$ is not a subspace of $\mathcal{L}(V,W)$

0 votes
0 answers
30 views

A combinatorial independence result in PA

1 vote
0 answers
21 views

Left-invariant Riemannian metrics and bijections with inner products on Lie Algebra

2 votes
1 answer
101 views

Inductive proof for Gronwall type Inequality

1 vote
0 answers
11 views

On the density of orbits $g^x \pmod n$ relative to the $(g-1)$-cusp epicycloid envelope

2 votes
2 answers
55 views

Measure of Lebesgue point

0 votes
4 answers
246 views

General term for increasing AP's

2 votes
1 answer
118 views

Combinatorics Problem Help (Vietnam Math Olympiad 2016 Day 1 Problem 4)

0 votes
0 answers
14 views

Weighted least squares solution with generalised inverse

2 votes
0 answers
30 views

Why is the spin group needed to define the Dirac operator?

0 votes
1 answer
58 views

Why locally convex space is usually required to be hausdorff

24 votes
6 answers
2k views

What are some extensively studied mathematical objects NOT yet proven to exist?

6 votes
1 answer
110 views

Derive the E-L EoM for $\mathcal{L}=-\frac14 F_{\mu\nu}F^{\mu\nu}+(D_\mu\phi)^\ast D^\mu\phi-m^2\phi^\ast\phi-\frac12\lambda(\phi^\ast\phi)^2$

3 votes
1 answer
617 views

Estimate on a positive root of a cubic equation

1 vote
1 answer
494 views

First order nonlinear non-homogeneous ODE

16 votes
2 answers
717 views

The maximal number of knights on a square chessboard such that each knight attacks exactly two others

-2 votes
1 answer
38 views

What's the most logical decay profile *in a round space* of a force whose decay is approximated locally by the square of distance?

18 votes
3 answers
373 views

$s_0=2$, $s_{i+1}=2R(1,s_i)$, prove linear asymptote $\sim \frac{2\ln 2 - 1}{1 - \ln 2}n$

5 votes
0 answers
236 views

Is the ideal generated by the entries of the matrix $X Y - z^2 I$ prime?

2 votes
1 answer
612 views

Asymptotic Methods - Boundary Layer Problems

11 votes
3 answers
776 views

Other ways to evaluate $\lim\limits_{n\to\infty}\frac{1}{2n}\cdot \ln \binom{2n}{n}$

2 votes
5 answers
1k views

Solution verification of my proof of $\lim_{n \to \infty}\left(\frac{1}{\sqrt{n^2+1}}+\frac{1}{\sqrt{n^2+2}}+\cdots+\frac{1}{\sqrt{n^2+2n+1}}\right)$

0 votes
0 answers
71 views

Prove that $\frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a}-2\left(a^2+b^2+c^2\right) \ge -2 + \sqrt3$ for positive reals $ab + bc + ca = 1$

0 votes
1 answer
50 views

Cone with complete angle greater than $2\pi$

4 votes
3 answers
2k views

Sum of the powers of roots of unity

0 votes
2 answers
655 views

Find the walking speed of his wife given the following conditions?

0 votes
0 answers
16 views

The structure of the filtration relating to atom and constance of Banach space valued measurable function.

6 votes
3 answers
538 views

Is there closed form :$I_n = \int^{\infty}_0 \frac{\ln(1+x)}{\prod_{k=1}^{n} \left({1+x^{2^k}}\right)} dx$

2 votes
1 answer
36 views

Mosco convergence definition(s)

3 votes
1 answer
626 views

A inequality on a graph and finding the best constant

3 votes
5 answers
301 views

Find the value of : $\lim_{n\to \infty} \frac{1}{\sqrt{n}} \left(\frac{1}{\sqrt{n+1}}+\dotso +\frac{1}{\sqrt{n+n}} \right)$

7 votes
4 answers
271 views

My Solution to $\int_{0}^{1}\ln(1-x)\ln(x)\ln(1+x)\,dx$ and solving a complicated related integral $I=\int_{0}^{1}\ln(1-x)\ln x\ln(1+x)\arctan(x)\,dx$

0 votes
0 answers
87 views

Intuition behind substitution $x=\sqrt{\frac{a-t}{b+t}}$

6 votes
1 answer
144 views

Is there an operator-theoretic derivation of $\int x^n e^{ax}\,dx$ using a finite Neumann series?

19 votes
3 answers
6k views

Showing that a homogeneous ideal is prime.

0 votes
1 answer
612 views

Steady state distribution for Markov pure jump process

3 votes
1 answer
83 views

Is there a name for this kind of subgroup?

5 votes
3 answers
170 views

The probability of throwing $n$ dice with each result being contained in a set

1 vote
1 answer
1k views

How to determine the length of the Jordan chain associated to an eigenvector?

1 vote
1 answer
134 views

How do we plot the floor function of $2$ or more arbitrary, finitely bounded functions with the same domain and co domain?

1 vote
1 answer
291 views

Why does the inclusion: ${\mathbb RP}^n\to {\mathbb R P}^{\infty}$ induce the isomorphism on cohomologies with coefficient $\mathbb Z/2\mathbb Z$

3 votes
1 answer
146 views

When is $a^b\equiv a^{(b\bmod n)}\mod n$?

0 votes
0 answers
19 views

Control higher degree form by one factor from base manifold

0 votes
0 answers
43 views

Proof of Quadratic Reciprocity Theorem ( version of Jarvis, ANT book )

2 votes
1 answer
99 views

Galois theory: a proof that radical extension is solvable, in the presence of enough roots of unity.

5 votes
1 answer
135 views

Co-amenability of an Intersection

1 vote
1 answer
624 views

Renewal process past exam question

0 votes
1 answer
25 views

Hilbert polynomial of the complete intersection variety depending only on degree of generators

0 votes
0 answers
165 views

Possible application of Mittag-Leffler's Expansion Theorem for a function with a double pole like $\csc(z^2)$

1 vote
0 answers
193 views

Cosine Function As Infinite Product

3 votes
1 answer
975 views

Did I set up the equation for the Mittag-Leffler theorem correctly?

0 votes
1 answer
642 views

How do you calculate the number of combinations using unique numbers that equal a specific sum?

0 votes
0 answers
351 views

Geometric Brownian Motion versus Square root process

0 votes
1 answer
44 views

Multivariate HMM with continuous emissions and segmented time series (Bayesian inference)

1 vote
0 answers
22 views

Conditions for the embedding of the dihedral group $D_m$ into $\mathrm{AGL}_1(\mathbb{Z}/n\mathbb{Z})$

-1 votes
0 answers
34 views

Snail crawls a plane with constant speed, turning a 90 degrees every 15 minutes. Show that snail can return to start position only in integral hours.

4 votes
1 answer
84 views

Bracketing number vs covering number

2 votes
1 answer
32 views

Find the mathematically possible range for the median of a combined dataset

1 vote
0 answers
15 views

Sharp lower bounds comparing a tetrahedron’s midsphere radius with the inradii/exradii of its faces

4 votes
0 answers
37 views

If linear maps are similar in a field extension, are they similar in the base field?

3 votes
0 answers
92 views

Trolley problem: Maximizing average step length of the critical orbit of $z \mapsto z^2 +c$ on the Mandelbrot set.

0 votes
1 answer
628 views

Subsets $Y$ of a partially ordered set $L$ need not have least upper bounds nor greatest lower bounds

8 votes
1 answer
289 views

Is this result already a known theorem in geometry?

0 votes
3 answers
116 views

Prove that the size of a graph is at most $16$

5 votes
2 answers
214 views

Find all positive integers $n$ such that $10^n$ is divisible by $n^3 + n^2 + n + 1$.

0 votes
1 answer
622 views

Set up an integral for the circumference of an ellipse

0 votes
1 answer
347 views

General method for using Rouche's Theorem to find roots of equations.

0 votes
0 answers
26 views

A specific identity regarding the difference of products of shifted consecutive integers

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3 votes
1 answer
82 views

Jech lemma 8.16 : cardinality of a set of almost disjoint functions.

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