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Interesting 21 Bountied Hot Week Month
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1 answer
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Is there a way to find the distribution of a ratio of two normal variables that can assume negative values?

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lupus
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2 answers
194 views

difference between "let" and "for all"

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Mauro ALLEGRANZA
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3 votes
1 answer
82 views

Example of a finite-dimensional Lie algebra with a fixed-point-free automorphism of prime power order which is not nilpotent

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Dietrich Burde
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2 votes
0 answers
101 views

Sum of remainders $\bmod n$

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Richard Hall
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-1 votes
0 answers
16 views

What is the set that allows the absolute value square equal -1 ($|x|^2=-1$)?

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Mauricio
  • 445
1 vote
1 answer
10 views

SageMath's Automaton method number_of_words error

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ploosu2
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2 votes
1 answer
2k views

An exercise from stein's fourier analysis

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59 votes
16 answers
3k views

Can someone explain to me how a formula for the sine function is derived?

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Tim Pederick
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3 votes
1 answer
59 views

Definite Integration with Lambert W-Function $\int_0^\infty e^{-W(x)^2} \, dx$

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JJacquelin
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0 votes
0 answers
5 views

Motivation for choosing generalized coordinates in classical mechanics

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userא0
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0 answers
12 views

$S =\sum\limits_{n=0}^\infty\frac{(-1)^n}{(2n+1)^2}\left(\psi\left(\frac{3n}{2}+\frac{3}{2}\right)-\psi\left(\frac{3n}{2}+1\right)\right)$

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OnTheWay
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0 answers
20 views

Questionable proof of the statement that connected components of a topological space are not necessarily open

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Prime Mover
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2 votes
0 answers
15 views

Terminology for limits in full subcategories

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Sambo
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5 votes
1 answer
1k views

Projection of a Symmetric Matrix onto the Positive Semidefinite (PSD) Cone Using the Nuclear Norm

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user1551
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2 answers
1k views

How to prove that in the unit circle the tangent line in a given point is equal to slope of the radius that intersects the circle in that same point?

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CommunityBot
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2 votes
2 answers
933 views

Logarithms with negative bases for real numbers

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Steeven
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1 vote
2 answers
80 views

Geometry of triangles, circumcircles and incircles

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Stan FULGER
  • 132
2 votes
1 answer
51 views

Doubt regarding the quadrant of angles

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John Omielan
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2 votes
2 answers
130 views

Closed-form or asymptotic approximation for integrals involving $\sqrt{\log t}$ and $\frac{1}{\sqrt{\log t}}$

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Claude Leibovici
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6 votes
1 answer
74 views

Does there always exist a holomorphic function satisfying such conditions?

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Malkoun
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0 answers
22 views

What do $\nabla^a$ and $\partial^a$ mean in general relativity and differential geometry?

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wwdwy
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17 votes
1 answer
150 views
+50

A tetrahedron's vertices are random points on a sphere. What is the probability that the tetrahedron's four faces are all acute triangles?

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Dan
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1 vote
4 answers
3k views

Examples of transitive and not negatively transitive binary relations

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Alex Ten
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5 votes
1 answer
231 views

USATST 2011/P4 : Prove that $OA\perp RA$ [Proof Verification needed]

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Yiyj1
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2 votes
0 answers
35 views

Is there a closed form for the alternating sum involving $\log(k)$ and harmonic squares?

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Dang Dang
  • 276
4 votes
2 answers
3k views

Proving the Nested Interval Property using Axiom of Completeness

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3 votes
0 answers
136 views
+50

Proving (the lower bound that) $N$ exceeds product of primes under special congruence constraints

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Dang Dang
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3 votes
3 answers
77 views

Is this formula for computing the number of digits of an integer correct?

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Taladris
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0 answers
22 views

Practical use of the closed graph theorem

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0 answers
6 views

Basic confusion about Hausdorff outer measure

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Brozovic
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0 votes
1 answer
19 views

Let $f_J$ and $g_K$ be partial functions. Then $f_J \subseteq g_K$ if and only if $J \subseteq K$ and $g_K|_J = f_J$

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Kevin Du
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2 votes
1 answer
132 views

Evaluate $\int_{0}^{\infty} \Gamma(1+it) (it)^{-it} dt$

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Claude Leibovici
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3 votes
2 answers
252 views
+50

Closed-form solution for $\int_m^\infty x^{-a} \exp(-b x) \exp(-c x^2) dx$

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Dang Dang
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0 answers
31 views

Is a square a surface?

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blayzy
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7 votes
7 answers
391 views

Evaluate $\lim_{n\to \infty}\log_{n}\left(\int_{0}^{1}(1-x^{3})^{n}dx\right)$

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River Li
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0 votes
0 answers
26 views

How to decide if a function is a metric given oracle access?

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Erel Segal-Halevi
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1 vote
2 answers
901 views

About Levi factor of a standard parabolic subalgebra

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D_S
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1 vote
1 answer
955 views

Decomposition of expectation values

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1 vote
0 answers
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Existence of continuous curve contained in an level curve.

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Balasubramannyan S
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7 votes
3 answers
1k views

What is a filled rectangle called, if anything?

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Axoren
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1 vote
4 answers
177 views

Simple approximations to the Lambert W function principal branch $W_0(x)$

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Claude Leibovici
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-1 votes
0 answers
101 views

Are these three set functions logically consistent?

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TheOtherAgain
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1 answer
31 views

Evaluate $\int_{-\infty}^{+\infty} \frac{dx}{(\cos(x)+2)(1+x^2)}$ as an infinite series using residues

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Kavi Rama Murthy
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1 vote
0 answers
24 views

Minimum Speed in Fisher & Hasselblatt's Hyperbolic Flows

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Shreyansh Jaiswal
  • 243
3 votes
1 answer
295 views

Integrals of the type $f'(z)/f(z)$

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Daniel K
  • 313
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1 answer
914 views

Prove that $1$ is a unique neutral element for multiplication

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2 votes
4 answers
2k views

Let $x_1,x_2,x_3,x_4$ denote the four roots of the equation $x^4 + kx^2 + 90x - 2009 = 0$. If $x_1x_2 = 49$, then find the value of $k$.

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ogunbiyi
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5 votes
1 answer
200 views

A hard question about a simple solitaire dice game

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Empy2
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3 votes
0 answers
47 views

A polynomial $P(x)=x^4+ax^3+bx^2+cx+d$ has four distinct roots $x_1,x_2,x_3,x_4>0,$ and $a,b,c,d\in \mathbb Z$ then find the smallest value of $b.$

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ogunbiyi
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2 votes
3 answers
309 views

Prove that $\lfloor 5x\rfloor + \lfloor 5y\rfloor \ge \lfloor {3x+y}\rfloor + \lfloor {x+3y}\rfloor$

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DanielV
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1 vote
1 answer
115 views

Proj without gluing?

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aeae
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3 votes
2 answers
2k views

How to prove $p(z-y)(zy)(z^2-yz+y^2) \mid x^p-(z-y)^p \Rightarrow x=z-y$?

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CommunityBot
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1 vote
0 answers
11 views

Intensity Distribution Function for Light Diffracting from Digital Micromirror Device

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maggotmeat
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1 vote
0 answers
76 views

Prove that if $d^k = (3^n - 1)/2$, then $d^{k+1}$ cannot be of the form $(2^m + 1)/3$

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ZAF
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4 votes
1 answer
51 views

How to Derive the Closed-Form Kernel of an Integral Equation Without Relying on Pattern Matching?

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Gonçalo
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3 votes
1 answer
1k views

Show that the area of some shape, in this case a rectangle, equals the sum of the areas of the shapes forming a partition of the shape.

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CommunityBot
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5 votes
2 answers
164 views

Why does the left most root of the summation of $px^p$ where $p$ is a prime seem to converge to $-0.45702$?

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Thomas Andrews
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5 votes
3 answers
359 views

Is there other method to get a nicer answer for the integral $\int_0^{\infty} \frac{\left(\sqrt x-1\right)^2}{\left(x^2+1\right) \ln^2 x} d x $?

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Quanto
  • 120k
9 votes
1 answer
2k views

Geometric distribution obtained from exponential distribution

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CommunityBot
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0 votes
0 answers
36 views

The subset of functions that vanish at one point is a maximal ideal

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evaristegd
  • 539
1 vote
1 answer
122 views

Solve $f(x) - f(\frac{1}{x}) = \ln(x)$

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Thinh Dinh
  • 8,323
1 vote
0 answers
18 views

Caratheodory's Theorem Interiors (Steinitz's Theorem)

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JGJ7
  • 385
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0 answers
28 views

Is it possible to construct an additive basis of order $2$ with the following flavour?

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Adam Rubinson
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1 vote
1 answer
45 views

Proof that self-financing portfolios remain self-financing after a numéraire change

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user408858
  • 3,470
2 votes
1 answer
87 views

Integral of $\int_0^\infty\frac{\ln\left(x^3\right)^2}{x^2+81}$ using the Residue theorem

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Jack D'Aurizio
  • 362k
9 votes
1 answer
173 views
+50

How to prove $\limsup_x\sum_{k\ge 0}\sin(2\pi x/2^k)/\log_2x=\sup_{n,k}\frac{1}{n}\sum_{j=0}^{n-1}\sin(\frac{2\pi k}{2^n-1}2^j)=\frac{\sqrt{15}}{8}$?

Malo's user avatar
Malo
  • 1,407
2 votes
1 answer
57 views

On the rate of convergence of $\log(\|f\|^p_p)$ as $p\rightarrow\infty$

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Boris PerezPrado
  • 562
0 votes
0 answers
43 views

Linear optimisation resources

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RobPratt
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2 votes
2 answers
2k views

Let $T$ be exponential with parameter $λ.$ Let $X$ be discrete defined by $X=k,$ if $k≤T<k+1,$ $k=0,1,2,\dots$. Find the pdf of $X.$

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CommunityBot
  • 1
0 votes
0 answers
47 views

In how many ways can one pay 2$ with coins of 5,10 and 50 cents? (not american currency, there are 5 ,10 and 50 cents coins)

Henry's user avatar
Henry
  • 170k
8 votes
2 answers
385 views

To Show or Not to Show: A Dealer and a Guesser Game

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user76284
  • 6,408
7 votes
3 answers
465 views

Classic 100 Door problem with twist , Prime Janitors

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user76284
  • 6,408
0 votes
0 answers
49 views

A product of a quotient map with an identity

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murray
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4 votes
2 answers
101 views

How to get an infinitely differentiable curve given a set of points

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lonza leggiera
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8 votes
4 answers
300 views

Justification for swapping limit and integral to obtain Dirichlet integral

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Jack D'Aurizio
  • 362k
2 votes
0 answers
42 views

Finding the homogeneous polynomial associated with a symmetric tensor

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Carson Newman
  • 83
1 vote
1 answer
107 views

Existence of solution to linear equations

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user
  • 163k
2 votes
0 answers
175 views

It is possible to make equivalences among differential equations that share solutions?

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Joako
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3 votes
0 answers
143 views

Evaluate $\int_0^{\infty} \frac{\ln^n(x)}{(p^a+x^a)^b}dx$

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nahte403
  • 308
1 vote
1 answer
55 views

On the convergence of moments in the central limit theorem.

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Davide Giraudo
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0 answers
24 views

Comparing hitting measure of two random walks on trees

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quuuuuin
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4 votes
0 answers
72 views

Geometric interpretation to what seems like a generalization of angle element

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Ilya Iakoub
  • 153
4 votes
3 answers
317 views

What are infinite aperiodic p-adic integers equivalent to?

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Oscar Lanzi
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3 votes
0 answers
208 views

Prove that a matrix is almost surely full rank

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Sebastiano
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1 vote
1 answer
33 views

Convergence in distribution of a kernel average.

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Davide Giraudo
  • 182k
1 vote
0 answers
24 views

The dual space of $(X, \sigma(X,Y))$

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NTc5
  • 1,171
5 votes
1 answer
951 views

About moments of inertia, integrals and fractal dimensions.

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CommunityBot
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2 votes
0 answers
90 views

Evaluation of two electron exchange integral

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Boris PerezPrado
  • 562
1 vote
0 answers
116 views

Probabilistic Interpretation of Roots of Unity in $\mathbb{C}^2$

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PNW Mathematician
  • 19
2 votes
1 answer
1k views

Finding Second Solution for Hermite Differential Equation through reduction of order

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1 vote
0 answers
25 views

Explicit solutions for TV norm minimization with linear constraints

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Abhinandan
  • 41
4 votes
2 answers
427 views

How to prove in general terms using trigonometry that the median perpendicular will divide the diagonal in such a ratio

Andrei's user avatar
Andrei
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4 votes
0 answers
45 views

The sum of sub-exponential random variables are sub-exponential.

Phil's user avatar
Phil
  • 2,076
0 votes
2 answers
90 views

Is there an H-group such that the induced group structure ([X,Y],+) is not natural?

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Paul Frost
  • 88.1k
2 votes
1 answer
42 views

How to find the asymptotic expansion of a sum of incomplete gamma functions?

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Gary
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1 vote
1 answer
399 views

Question about Noether-Skolem theorem

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The Amplitwist
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