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Interesting 45 Bountied Hot Week Month
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sequence with first difference and second constant ratio in first difference

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1 answer
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Trying to calculate a limit with a finite product and WolframAlpha disagrees with my logic.

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Relating the three forms of the simple group of order 25920

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Ian Gershon Teixeira
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Euler's proof of $\frac{\pi}{6}=1-\frac{1}{2}-\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}-\cdots$

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Integral of product of Bessel functions of different order

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32 views

Preorder on topological spaces whose equivalence classes are the homeomorphism classses

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kaba
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1 vote
1 answer
61 views

Manifold of lines in $\mathbb{R}^3$

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Jean-Armand Moroni
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3 votes
1 answer
69 views

Prove $1\times 2+2\times 3+\ldots+(n-1)\times n = 2\binom {n+1}{3}$

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Pencodevincent
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2 votes
1 answer
46 views

Proving that convergence in RKHS implies pointwise convergence without using reproducing property

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0 answers
13 views

Is there a special name for symbolic ratios that share no common symbol in numerator and denominator

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smichr
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-1 votes
1 answer
19 views

The natural representation of the real group $G=SO(2)$ on $V=\Bbb R^2$ is irreducible.

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Metrizing pointwise convergence of *sequences* of functionals in a dual space.

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1 answer
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Prove that $\exists g \in SO(n)$ such that $gv_i = w_i$ for $i = 1, 2$ where all these vectors are O.N.

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Disappearing constants in the generalized Argument Principle

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Solving non-homegenous Ax=B when B is a 3x3 matrix

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What is wrong with my answer: In metric space M, If A is dense in S and B is open in S, prove $ B \subseteq \overline{A \cap B}$

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Proportionality of a system of polynomials

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9 views

Finding a coefficient in a Laurent series of a function

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palio
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23 views

Tensor Product $V \otimes W$ when $\dim V = 1$

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Fly by Night
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2 votes
1 answer
26 views

Counting gap sizes in a subfamily of partitions

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Marko Riedel
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1 answer
50 views

Approaching a Divisibility Question

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Calvin Lin
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18 views

Change of basis and multivariate Taylor series in surface integral

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Raibyo
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1 answer
262 views

How to evaluate $\int_{0}^{\frac{\pi}{2}} \ln ^{n}(\cos \theta) d \theta, \textrm{ where }n\in \mathbb{N}?$

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Math Attack
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28 views

Distance to "equal-distance-locus" within a lune

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Marcel Tesch
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0 answers
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proof verification : every convex function is continuous.

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pie
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3 votes
1 answer
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How to rotate / transform a vector so that it is parallel to a plane?

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1 answer
42 views

Calculation of $\int_0^{\infty} \frac{x^{2p+1}}{(1+x^2)^2}dx$ for $|p|<1$.

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59 views

How to alter my differential equations to force an abrupt decrease in the solution?

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Tim
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2 votes
2 answers
63 views

Surface area of sphere coming out as $\pi^2 r^2$

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Intelligenti pauca
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1 vote
1 answer
20 views

Smallest finite group which cannot be decomposed into a solvable piece and a perfect piece

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Ian Gershon Teixeira
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81 views

Inequality $\frac{1}{\sqrt{ab+2}}+\frac{1}{\sqrt{bc+2}}+\frac{1}{\sqrt{ca+2}}\ge \frac{2\sqrt{3}}{\sqrt{a+b+c+abc}}.$

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River Li
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34 views

Cannot prove these two statements about Bernoulli sequence

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irreducible representation of the circle group $\mathbb S^1$

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Elementary proof of Bott periodicity

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Dasheng Wang
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1 answer
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central limit theorem, convergence in distribution, convergence of integrals

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1 vote
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23 views

Problem about bridge hand distribution

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2 votes
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26 views

Order of operations clarification

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Tim
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Lattices diagrams

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1 vote
1 answer
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Unbounded slack variables in linear programming problem

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How to solve this continuous control problem?

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31 views

Simplify the combinatorical expression

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35 views

Stochastic Fubini and Hawkes process

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Showing $E[\operatorname{Tr}(AAA^TA^T)]<E[\operatorname{Tr}(AA^TAA^T)]$ for Gaussian $A$

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Yaroslav Bulatov
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Understanding the condition of the bounded variable algorithm in the linear programming

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8 views

Is a function in $C^1 _0(D)$ times a function in $H^1 _{loc} \cap L^2 (D)$ in $C^{\infty}_{0}$?

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k12345
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1 answer
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There exists a unique stable limit cycle around $(0,0)$

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Ouden
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1 answer
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Need help understanding proof that $\hat{x} (\hat{A}) = \sigma(x)$

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Chad K
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0 answers
10 views

Error of approximating a Gaussian integral by a series

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Kate Zhang
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6 views

The probability to visit a state for the first time after n steps in a markov chain

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Expected number of times a 3-d random walk will return to the origin

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Rohit Pandey
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63 views

Limit of a parametric function: $\lim_{n\rightarrow\infty} \prod_{i=1}^{n} \left ( 1- 2^{-i}t \right)^{-\frac{1}{2}}$

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Amir
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9 views

Intersection of two straight lines in a spherical geometry

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0 answers
42 views

Associative binary operation on the positive reals

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1 vote
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33 views

Size of shadow of set system

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RobPratt
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-1 votes
2 answers
34 views

prove that the sequence $g_n(x)$ is uniformly Cauchy

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0 answers
16 views

Singularities inside closed path

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0 answers
15 views

Operator norm of product of square matrices preserved by permutation

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0 answers
11 views

Derivative of $X(X^\top X)^{-1/2}$ with respect to the matrix X

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AAAA
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5 votes
2 answers
553 views

Finding $\lim_{n \to \infty} \int_{(0,\infty)} \frac{n \sin (x/n)}{x(1+x^2)}dx$ via DCT

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Brezis' exercise 8.23.5: how to find the best constant $C_k$ such that $\|u\|_{L^{\infty}} \leq C_k\|f\|_{L^{\infty}}$?

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Akira
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4 votes
1 answer
70 views

Showing $E\operatorname{Tr}(AAA^TA^T)=n^3 + 2n$

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Gabriel Romon
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0 answers
12 views

Time reversal of Brownian motion: Validation of a general formula

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21 views

$D(p||q) \geq \frac12(2(p-q))^2,\,\,\,p\geq q$?

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M Rozzzz
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1 vote
1 answer
29 views

Connection between permutations and rank–nullity?

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Vladimir Lysikov
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3 votes
1 answer
92 views

Closed form for the $n$-th derivative of $\csc^2$?

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Тyma Gaidash
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0 answers
19 views

Tiling: Fewest square tiles to cover a non-regular polygon

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Craig T
  • 103
1 vote
0 answers
14 views

Map from Compactification to Original Space

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Tom
  • 1,240
4 votes
3 answers
140 views

How to define this function so that it is continuous?

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azerbajdzan
  • 1,116
2 votes
1 answer
58 views

What is known about the approximation constant?

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LSA
  • 188
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0 answers
14 views

Am I using the properties of my matrix correctly in these inequalities?

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k12345
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0 answers
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Solve this generalized discrete optimization problem

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Phil Freedenberg
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3 votes
1 answer
47 views

What is the expected number of draws until a box of balls is empty? The only known information is the expected number of balls removed in each round.

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Drops
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0 answers
13 views

Determine relative position from projected angles and distance

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0 answers
22 views

why product measure 1/N

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3 votes
0 answers
29 views

Similarity of real-valued functions

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Arnaldo
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8 views

Using convolution to derive first passage probability

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0 answers
19 views

PDE on the probability that the brownian motion stays in [a,b]

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Kieran McShane
  • 368
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0 answers
18 views

Selecting and matching 3 and 6 distinct numbers yield different numerators

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saner
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0 answers
16 views

Let T be a tree with j leaves. Let m be a positive integer such that 2k $\geq$ j. Show that there exist k paths such that:

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organdonor
  • 53
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0 answers
19 views

Canonical chart for parallelizable manifold

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Gabriel Golfetti
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35 views

Integral Relation

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0 answers
20 views

Brownian motion construction on the unit sphere in Oksendal text book

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Kevin
  • 67
1 vote
1 answer
20 views

5-cell "4D tetrahedron"

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Ethan Bolker
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-1 votes
1 answer
26 views

Finding the value of a fraction according to a given information

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Antarjot
  • 30
1 vote
1 answer
45 views

General topology question, homeomorphism to a closed subspace of $Y \times K$, $K$ is compact.

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0 answers
12 views

Finding slope of a given point on the elliptic curve given the points x and y coordinates

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Dev Tenji
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1 vote
0 answers
15 views

General solution to $\frac{\partial^n}{\partial x^n}u(x,y)=\frac{\partial^m}{\partial y^m}u(x,y)$

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Kamal Saleh
  • 5,052
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0 answers
19 views

How to rotate a group of objects together

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Magno
  • 101
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0 answers
9 views

Run the depth-first search algorithm on the following graph. Room has been left in the vertices for the discovery and finish times and the predecessor

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Agia P
  • 1
4 votes
1 answer
36 views

Some problems related to Achim Klenke: Probability theory 3.1.2

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person
  • 1,226
2 votes
0 answers
53 views

Covariance of the product of two random variables with another random variable

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CafféSospeso
  • 151
0 votes
0 answers
117 views

Pushforward, tangent map, vertical endomorphism and all that

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Roberto Ricci
  • 71
0 votes
1 answer
71 views

Lie derivative $L_X$ formula applied to vector field $Y$

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Usuário 6789
  • 57
2 votes
1 answer
113 views

Commutator of a connected semi simple Lie group

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Ian Gershon Teixeira
  • 7,146
2 votes
0 answers
13 views

How to linearize this PDE system?

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Rhjg
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0 answers
21 views

Does a 3D random walk visit infinitely many primes almost surely?

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