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-1 votes
0 answers
7 views

Find the last non-zero digit of $(\dots((2018\underset{!\text{occurs}1009\text{times}}{\underbrace{!)!)!\dots)!}}$

0 votes
3 answers
30 views

What does it mean to say that similar matrices represent the same linear map under (possibly) different bases?

2 votes
1 answer
644 views

Question on basis change and endomorphism

0 votes
0 answers
3 views

Differential entropy of independent samples of a random process

0 votes
0 answers
4 views

Let $m; n \in N$ with $m > n$. Then there does not exist an injection from $N_m$ into $N_n$.

0 votes
1 answer
9 views

About $s_2(a×k-b)=s_2(a-b)$ for any $k$

0 votes
0 answers
3 views

Theater Seating Combinatorics Problem: 6 friends go to the movies and sit in adjoining seats in one row

0 votes
0 answers
4 views

Mordell-Weil theorem for rational points on $y^2=x^2+1$

-1 votes
0 answers
6 views

Divergent series vs divergent integrals

0 votes
1 answer
8 views

understanding group closure

0 votes
1 answer
20 views

solve $x^3-2x^2-x+1 = 0 \pmod{7^3}$

0 votes
1 answer
51 views

Cantor-Bendixson Theorem

1 vote
1 answer
18 views

Dyadic sum of $\frac{x}{\ln x}$ (i.e. dyadic asymptotic for prime number theorem)

1 vote
2 answers
64 views

Chain rule of the derivative on smooth manifold

-1 votes
0 answers
20 views

Question about saddle point

0 votes
0 answers
7 views

Curvature of a certain curve

0 votes
1 answer
70 views

What is the mistake in evaluating $\lim_{n \to \infty } \sum\limits_{k=1}^n \frac{k^n}{n^n} $

0 votes
0 answers
22 views

Calculate the intersection volume of two spherical caps on the same sphere

1 vote
0 answers
31 views

Has this multidimensional optimization algorithm been peer reviewed

0 votes
0 answers
71 views
+50

Proofs with shift operators

0 votes
0 answers
22 views

Any generalizations of ${}_2F_1\left(\genfrac{}{}{0pt}{0}{a,-a}{{1}/{2}};\sin^2x\right)=\cos(2ax)$?

0 votes
0 answers
5 views

A question about two right-handed frames in $\mathbb{R}^n$. ("Analysis on Manifolds" by James R. Munkres.)

0 votes
0 answers
11 views

Do things in nature have a perfect size, like exactly 20 mm, or is that just something we made up?

1 vote
0 answers
4 views

Maximum likelihood estimate for a parameter in a Poisson model

0 votes
0 answers
4 views

Why single and double layer potentials are psueo-differential operators of smooth symbol class?

0 votes
1 answer
1k views

Statistics: Conditional Probability

-2 votes
0 answers
18 views

Integrable distributions vs integrable representations

2 votes
0 answers
17 views

The distribution of the minimum value among $mn$ non-independent random variables.

-1 votes
0 answers
12 views

Some General Questions Regarding Arithmetical Functions

0 votes
0 answers
8 views

Can the vertex of a polygon be a convex combination of two other points?

0 votes
0 answers
4 views

Joint distribution of multiple variables

1 vote
0 answers
18 views

pythonic way to sample a point from a hyperplane of an euclidean space.

1 vote
0 answers
41 views

Are there any prime solutions to $p^q - q^p =3$

0 votes
0 answers
7 views

Deterministic optimisation problem with inequality constraint

0 votes
0 answers
8 views

How is changing the boundary conditions a finite rank perturbation?

36 votes
0 answers
1k views

Can you make the triviality of $\langle a,b,c \mid aba^{-1} = b^2, bcb^{-1} = c^2, cac^{-1} = a^2 \rangle$ more trivial?

1 vote
1 answer
142 views

Expected distance of the first and second nearest person to one of the 2 cars on a circle road with uniformly distributed locations

1 vote
1 answer
29 views

Trying to maximize $\int_a^b L(t,q(t),\dot{q}(t)) dt$ subject to $|\dot{q}(t)| = 1$

1 vote
0 answers
102 views
+100

Let $VABC$ be a triangular pyramid with $VA<VB<VC$. Prove that there is a point $P$ inside the triangle $ABC$ such that $VP= \frac{VA+VB+VC}{3}$.

0 votes
0 answers
9 views

The Lipschitz contunity of proximal operator with respect to the regularization parameter

0 votes
0 answers
15 views

3d Tractrix on sphere

0 votes
0 answers
7 views

Does this family of curves appearing in the magnetic field of a coil have a name?

2 votes
0 answers
19 views

Random walk on circle, last visited without excluding origin

2 votes
0 answers
18 views

A question involving the expectation of the random variable $2^X$

0 votes
1 answer
21 views

Stuck trying to simply a logical expression

1 vote
2 answers
19 views

How to compute the numerical radius of the right shift operator?

0 votes
0 answers
21 views

Counting the number $\mathbb{F}_{p^r}$ points on the elliptic curve $E_n: y^2=x^3-n^2x$ when $p$ is a prime dividing $2n$

1 vote
0 answers
36 views

Odd-Even Mathematical Induction

0 votes
1 answer
8 views

Compute the exterior dihedral angle between two hyperplanes

1 vote
1 answer
186 views

Ring of regular functions on principle open set

0 votes
0 answers
13 views

Using MCT for convergent series

1 vote
1 answer
34 views

Schmidt decomposition in larger Hilbert spaces

0 votes
1 answer
28 views

Implicit equation of all points that a circle that traces along a 2d parametric curve.

2 votes
1 answer
245 views
+50

Exploring the convergence properties of a cost function involving orthogonal projection of one-hot vectors

0 votes
0 answers
24 views

Taylor's formula with integral remainder for complex value functions

1 vote
1 answer
24 views

Expected Value of Infinite Geometric Sequence

1 vote
1 answer
20 views

If $\rho_{AB}$ is a separable then the partial transpose w.r.t to A is PSD

0 votes
1 answer
32 views

Follow-up: $h_{\omega}(s)$'s so that $\lim_{\omega\rightarrow 2\pi n} \frac{e^{-i\omega s} - 1}{e^{-i\omega} - 1} + h_{\omega}(s) = e^{-i2\pi n s}s$

0 votes
0 answers
9 views

Questions on Quadrature development and derivatives using matrix exponents for Lie algebras and Lie groups.

0 votes
0 answers
39 views

Has this been proved? How would you prove it?

-1 votes
1 answer
27 views

Find supX, infX, maxX and minX on a set

0 votes
0 answers
20 views

Showing that a simplicial map in McCarthy's paper on additivity is a homotopy equivalence

0 votes
1 answer
16 views

Why can I replace both sides of the interval in the bisection method for optimization?

1 vote
1 answer
12 views

Showing $\Gamma\vdash A$ and $\Gamma\vdash \lnot B$ from $\Gamma\vdash\lnot (A\to B)$ using sequent calculus

0 votes
1 answer
17 views

Proving that Complete Ordered Fields are Archimedean

0 votes
0 answers
36 views

Show that $\mathcal{O}$ the set of all open sets in $\mathbb{R}$ has the same cardinality as $\mathbb{R}$

-1 votes
0 answers
28 views

Null-homotopic curves

9 votes
3 answers
480 views

Miklos Schweitzer 1968 P11 by Renyi

4 votes
0 answers
66 views

Approximation of $x^2-x-1 = 0$ .

1 vote
0 answers
33 views

Tonelli and standard procedure application for h = f(x-y)g(x)

0 votes
0 answers
37 views

Show an equation give a holomorphic function on the upper half plane

2 votes
0 answers
27 views

Isotropy subgroup of $\operatorname{GL}_{n+1}(\mathbb R)$ acting on $\mathbb R \mathbb P^n$

0 votes
0 answers
13 views

Can the reciprocals 1/p, 1/p^2 be an integral in some extension of p-adic field $\mathbb{Q}_p$?

0 votes
0 answers
15 views

Doubts Bartle's Theorem 2.1.9

0 votes
0 answers
17 views

Combining two differential equations of the same variable

1 vote
0 answers
18 views

Constructing a circle tangent to another circle and two sides of a triangle

0 votes
0 answers
24 views

Show that $A=\{(x_1,x_2)\in \Bbb R^2:max(x_1,x_2)<5\}$ is an open set.

0 votes
1 answer
13 views

What conditions are needed to have $F(f,g) \in L^\infty$ for $f, g \in L^\infty$?

0 votes
0 answers
15 views

Series coefficients for Ramanujan $L$-functions: $L(\Delta, s) = \sum_{n=1}^{\infty} \frac{\tau(n)}{n^s}$?

1 vote
0 answers
33 views

Existence of Constants in Probabilistic Graph Theory

0 votes
0 answers
9 views

From the view of fourier series and the completion of space of Riemann integrable functions, how to understand the limitations of Riemann integration

0 votes
0 answers
7 views

Sum of Meijer G-functions with index in the arguments

-1 votes
0 answers
26 views

Closedness and compactness of a subset of a Banach space

0 votes
0 answers
8 views

Eigenvalues of the Jacobian matrix for shallow water equations

0 votes
0 answers
21 views

What's a "Lie type"?

1 vote
0 answers
15 views

How are the two definitions of Eulerian posets equivalent?

4 votes
0 answers
78 views

Which $x \in \mathbb R$ satisfy a property related to sequences

2 votes
1 answer
217 views

Prove that $\int_a^b$ $ \int_c^d $ $f(x)$ $g(y)$ $ dydx$ $= $ $(\int_a^b$ $f(x)$ $ dx)$ $(\int_c^d $ $g(y)$ $ dy)$

0 votes
2 answers
31 views

How do I prove that a given point in a given subset of R^2 is an interior point?

0 votes
0 answers
64 views

Is $\lim\limits_{n \to\infty}\sum_{i=1}^{l\cdot n}\frac{f\left(\frac{i}{n}\right)}{n}$ a valid definite integral riemann sum? What is it called if so?

4 votes
4 answers
447 views

Evaluate $\int_0^{\pi/2}\ln^2(\sin\theta)\,\mathrm d\theta$

1 vote
0 answers
33 views

Why $S_{\gamma'(0)}(J(0))=0$ for the geodesic sub-manifold?

1 vote
2 answers
27 views

Is it true that every locally compact Polish space must be boundedly compact?

0 votes
0 answers
25 views

Is this a valid and sound proof of the Lindemann-Weierstrass Theorem?

0 votes
0 answers
16 views

Irreducible ideal that is not primary in CRI

0 votes
0 answers
16 views

Pullback of diagonal inclusion map

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