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0 votes
0 answers
8 views

compute CNF of $(\omega k )^n$

0 votes
0 answers
3 views

Try to prove $e\pi$ is irrational

1 vote
0 answers
9 views

What [is the minimal] differential equation is satisfied by $y = \sum_{n=0}^\infty {x^n}(n!)^{-k}$?

0 votes
0 answers
10 views

Minimal polynomial of an algebraic integer

2 votes
0 answers
29 views

Probability (or asymptotics) that $G_{n, p}$ is a forest?

1 vote
0 answers
57 views
+50

Open set condition and Hausdorff dimension

3 votes
1 answer
1k views

Prob. 6, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: The Cantor's set is totally disconnected, compact, and uncountable

1 vote
2 answers
73 views

How to properly apply combinations in probability

0 votes
1 answer
14 views

Conditional expectation of a mixture distribution with measure zero event

0 votes
0 answers
13 views

Recurrence relation between $n^{-1}$ and $(n+1)^{-1}$ in GF(p)

4 votes
4 answers
8k views

Natural Logarithm expressed as Limit

1 vote
2 answers
41 views

Does Bolzano-Weierstrass Theorem hold in n-dimensional complex space(C^n)?

0 votes
0 answers
9 views

Question about an application of Hopf-Rinow Theorem

16 votes
2 answers
375 views

Two battalions of size $N$ shoot each other randomly, how many soldiers are left standing?

0 votes
0 answers
6 views

Constructing the Hecke Theta Function for a Number Field

0 votes
0 answers
6 views

Justifying the interchange of limit and integral in a sequence involving a diffeomorphism with non-uniform determinant bounds

4 votes
3 answers
458 views

$u\in H^1(\mathbb{R}^N)\cap C^1 \Rightarrow u$ vanishes at infinity?

0 votes
0 answers
33 views

Show that $\sqrt{a}+\sqrt{2\sqrt{a}}+\ldots \leq \frac{3}{2}\sqrt{a}$?

0 votes
1 answer
31 views

Continuity of an operator constructed from a continuous function

1 vote
1 answer
38 views

Is every geodesic lamination on a hyperbolic surface orientable?

1 vote
0 answers
15 views

Existence of a function in L1(G) whose Fourier transform never vanish

0 votes
0 answers
21 views

Intuition on when and why algebraic manipulations work with operator equations

2 votes
1 answer
95 views

Construction of a commuting matrix

0 votes
2 answers
1k views

Solving min-max equations

-1 votes
0 answers
19 views

Riemannian metric on $P^n(\mathbb R)$ such that the natural projection $\pi : S^n \to P^n(\mathbb R)$ is a local isometry.

0 votes
1 answer
26 views

Relations between ordinary integrals and extended integrals in Munkres' “Analysis on Manifolds”

0 votes
0 answers
25 views

Choiceless cardinal exponentiation

1 vote
0 answers
66 views

Kirby Calculus on $E(n)\sharp \mathbb{C}P^2$

0 votes
1 answer
36 views

How to interpret an endomorphism a tangent vector valued antilinear 1-form?

0 votes
0 answers
27 views

Decompose remainder in Taylors theorem into smooth functions

0 votes
1 answer
127 views

Seeking Guidance on Deriving the Passage Time Distribution for Geometric Brownian Motion

4 votes
1 answer
85 views

Evaluate $\sum_{n=1}^{\infty} \left( \left(2n-1\right) \left(\frac{1}{n^2} + \frac{1}{(n+1)^2} + \ldots \right)^2 - \frac{2}{n} \right)$

0 votes
1 answer
38 views

Show measure of set converging to zero

0 votes
0 answers
13 views

Calculation of certain morphism of affine schemes

1 vote
1 answer
24 views

Is every finitely generated module over a commutative ring Dedekind-finite?

1 vote
1 answer
27 views

If $f_n$ converges locally uniformly to $f$ on open unit disc, does the difference quotient converge locally uniformly?

1 vote
0 answers
21 views

Finding a homotopy equivalence of a simply connected space to a wedge of spheres given half of a homotopy equivalence.

1 vote
1 answer
4k views

The advantage of B-spline compared to Bézier if the number of control points is very small

0 votes
0 answers
37 views

Reference request: classification of non-trivial valuation rings of $K/k$ where $K$ is the function field of a smooth projective curve over $k$

5 votes
2 answers
523 views

Evaluation of Trigonometric Integration $\int \sin x\sqrt{\sin 2x}dx$.

0 votes
1 answer
34 views

Equivalence of two exact sequences for sheaves of modules

0 votes
0 answers
41 views

When can you switch the summation symbols here?

27 votes
2 answers
1k views
+500

About the inequality $\sum \frac{x_j}{1-x_j} \sum \frac{y_j}{1-y_j} \ge \sum \frac{x_j}{1-y_j} \sum \frac{y_j}{1-x_j}$

-2 votes
1 answer
39 views

Structure preserving isomorphism between groups

2 votes
1 answer
436 views

Confusion regarding definition of gauge transformation

4 votes
1 answer
67 views

Minimal and maximal distance to the intersection of an ellipsoid with a plane

9 votes
1 answer
157 views

A floor function appeared after integration while solving Laplace’s equation. What happened?

10 votes
0 answers
928 views

Closed form solution of $\int_0^{\omega_t}\int_{\omega_t}^f\sin^2(\frac{\omega_{12}}2)\sin^2(\frac{\omega_{23}}2)d\omega_{23}d\omega_{12}$

0 votes
0 answers
27 views

Finding the maximum of y in $\frac{x^a+1}{b^x}+\frac{x^b+2}{c^x}+\frac{x^c+3}{a^x}=y$ within a quadrant

1 vote
2 answers
2k views

If $X,Y$ are two non-negative integer RVs, show that $E[XY] = \sum[P(X>=n),(Y>=m)]$

2 votes
0 answers
61 views

What can we conclude about convergent $p$-subseries with $p\leq 1$?

1 vote
1 answer
167 views

Maximum radius of intersection of a plane and an ellipsoid

0 votes
2 answers
22 views

How to constrain a sum involving integer partition?

2 votes
0 answers
60 views

1D diffusion exiting an interval: Why does the exit time scale with the square of interval length?

0 votes
0 answers
9 views

Spreading out and recombining full measure sets of Laurent series

5 votes
2 answers
349 views

In using Dirac’s approach to bra vectors, do we ever know what our bra vectors are?

0 votes
1 answer
16 views

Using P.S. condition to find another critical points

2 votes
1 answer
203 views
+50

How do you find the range of a multivariable function whose domain is the integers?

1 vote
0 answers
27 views

Bounds for derivatives of smooth function

1 vote
1 answer
42 views

Bishop Pattern Recognition and Machine Learning, Exercise 2.14

0 votes
0 answers
54 views

Is it trivially true that $u\{0,1,\dots,f-1\}\equiv \{0,1,\dots,f-1\} \pmod{n+1}$ implies $u=1$?

0 votes
0 answers
11 views

Can an arbitrary partition of the set of infinite binary words be seperated in the supremum by a function on the finite words?

0 votes
0 answers
51 views

Why is this construction so redundant (Theorem 3.2 - Thomas Jech's set theory)

0 votes
0 answers
21 views

Finding the slant height of a triangular pyramid

1 vote
1 answer
47 views

Number of ways to fill a static sized list of sets

0 votes
0 answers
10 views

How do I solve a system of two interdependent variables (e.g. attack and defense ratings) using iterative updates?

0 votes
0 answers
11 views

Quotient of direct sum of modules is direct sum of quotients? Quotient of free module is free over quotient ring?

0 votes
0 answers
24 views

Canonical Divisor of $y^7=x^2(x-1)$

0 votes
1 answer
15 views

Is the product of the "volume" of the integer partition of composite number greater than primer one?

2 votes
1 answer
41 views

Is the domain of a locally convex $C_0$ function always convex?

0 votes
0 answers
9 views

Understanding Markovian Coupling: Ensuring Chains Merge After First Meeting Time

0 votes
0 answers
14 views

Wave equation with Dirichlet boundary conditions and constant derivative on part of the boundary

0 votes
0 answers
27 views

Torsion in integral homology and finite-index subgroups

0 votes
1 answer
36 views

Showing that the intrinsic torsion of an almost symplectic structure is $d\omega$

0 votes
0 answers
12 views

Analog to discriminant for ratio of polynomials and fractional powers of polynomials

0 votes
0 answers
27 views

f(x) bijections on modulo integer groups

1 vote
0 answers
33 views

On the reducibility of a characteristic polynomial

0 votes
0 answers
7 views

Applying ergodicity concept on random binary signal

3 votes
0 answers
41 views

Under what oscillation conditions on $f(t)$ does its Laplace transform avoid singularities on the abscissa of convergence?

0 votes
0 answers
4 views

Convergence of discretized optimal stopping problems with a discontinuity at maturity

0 votes
0 answers
6 views

$(X_t, Y_t, Z_t)$ be jointly i.i.d., will $(X_t, Y_t)$ be jointly i.i.d.?

14 votes
4 answers
1k views

Compute $\int_0^{\pi} \frac{\cos(nx)\cos(x) - \cos(nt)\cos(t)}{\cos(x) -\cos(t)}dt$

1 vote
0 answers
18 views

A limit about a disk divided into strips and bars

1 vote
0 answers
27 views

Real-symmetric Blaschke-Potapov products

1 vote
0 answers
6 views

How to estimate the Besov norm of $e^{i\xi u}-1,\xi>0$ when $u$ belongs to Besov space?

0 votes
0 answers
16 views

How to decide bounds in spherical coordinates especially for $\Phi$

0 votes
1 answer
159 views

Continuity of P-laplacian

5 votes
0 answers
291 views
+50

Extending the special function $G(n)=\prod_{k=1}^{n}k^{k^k}$ to any number

0 votes
0 answers
6 views

Two-block-diagonalization of a positive definite matrix through orthosymplectic matrices

0 votes
2 answers
176 views

Given a vector space of Dirac kets, could you give a way that the corresponding bras may be set up?

0 votes
1 answer
117 views

Non-Abelian group with $(xy)^2=(yx)^2$ for all $x,y$ has a non-trivial solution to $a^2=1$

1 vote
1 answer
70 views

Finding the number of ways to pair up n objects, some of which are identical

0 votes
0 answers
11 views

Truncation Error at Boundary Nodes

2 votes
1 answer
92 views

Showing $\sum_{k=0}^n\frac{(-1)^k}{k+1}\binom{n}{k}^2=\frac{(-1)^{n/2}\,n!}{(n+1) ((n/2)!)^2} $ for even $n$

0 votes
0 answers
26 views

Proving completeness for a statistic

284 votes
3 answers
16k views

How does one prove the determinant inequality $\det\left(6(A^3+B^3+C^3)+I_{n}\right)\ge 5^n\det(A^2+B^2+C^2)$?

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