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3 votes
1 answer
236 views
+50

Conjecture about the Levenshtein difference of prime multplicative groups mod $p$.

0 votes
2 answers
81 views

Proving that $x := x - yt$; $y := y + xt$ traces an ellipse

2 votes
0 answers
21 views

Solving the functional equation $f(f(x)+y) + xf(y) = f(xy+y) + f(x)$

3 votes
2 answers
50 views

How to solve $\lim_{x \to 0} \frac{e^x - e^{\sin(x)}}{x-\sin(x)}$

-1 votes
0 answers
36 views

why doesn't convergence require the sequence decrease to be larger than the series increase?

1 vote
1 answer
1k views

Confidence Intervals with two variables

-3 votes
0 answers
58 views

What notation should I use for domain

2 votes
2 answers
74 views

Let $a>1$, $b>0$ and $c=a+b$. Solve in $\mathbb{R}$ the equation $ (a^{x}+b)^{\log_{c} a} = c^{x} - b$

2 votes
0 answers
59 views

Question regarding a combinatorial map between two sets for proving hermite identity

1 vote
0 answers
23 views

Wikipedia’s proof of the Laplace’s method of integration

0 votes
1 answer
31 views

$3^x\times 7+\color{orange}{475}=2^y$ has no integer solutions?

-1 votes
1 answer
69 views

What are some common notations for sets of numbers (e.g. $\mathbb{N,\ Z,\ Q,\ R}$)

1 vote
1 answer
65 views

Questions on the proof of Theorem 2 in Ireland-Rosen CIMNT: if $p$ is an odd prime and $l\geq 1$, then there exists a primitive root mod $p^l$

1 vote
0 answers
67 views

The Newtonian Gravitational field - ode property

0 votes
0 answers
119 views

Autonomous ordinary differential equation

1 vote
1 answer
66 views

Check the DNF of this formula (SymPy)

2 votes
0 answers
39 views

On $\sum_{k=0}^{n-1}\,(-1)^k\,\frac{(\pi/2)^{-2k}}{(2n-2k)!}\,\beta(2k+1)$

1 vote
0 answers
6 views

Boundary map for Schubert cells

1 vote
0 answers
79 views

Admission Test - Differential Equations

0 votes
1 answer
42 views

Check the convergence of the integration

0 votes
1 answer
1k views

Barred and unbarred systems

11 votes
3 answers
158 views

Why does $\left(1+\frac1{x-0.5}\right)^x$ converge to $e$ quicker than $\left(1+\frac1x\right)^x\approx e$?

0 votes
0 answers
18 views

(When) do orientation sections pull back?

5 votes
2 answers
157 views

Checking if the determinant of a quasi-tridiagonal matrix is nonzero

2 votes
0 answers
69 views

Finite CW complexes that are infinite loop spaces

2 votes
0 answers
73 views

$(X, \Sigma, \mu)$ finite measure space and $(f_n)_{n\in\mathbb{N}}$ is sequence in $L^p(X)$. If $f_n \to f$ uniformly on $X$, then $f \in L^p(X)$.

4 votes
2 answers
222 views

How to prove : $\{ (2+\sqrt3)^n\} = 1 -(2-\sqrt3)^n$

2 votes
0 answers
19 views

A straightforward proof of a property of lines enveloping an ellipse using complex numbers : looking for connections

2 votes
2 answers
111 views

Can I move the Lagrange multiplier to the other side?

2 votes
1 answer
158 views

Valence formula for level 2 modular forms

2 votes
2 answers
1k views

Cauchy-Schwartz inequality in a convolution

1 vote
0 answers
274 views

Criteria for a Regular Singular Point

0 votes
0 answers
57 views

How do I logically write the solution for a differential equation?

5 votes
1 answer
214 views

Why Bohr's definition of almost periodicity?

1 vote
0 answers
25 views

Simplest Fraction in Interval

0 votes
1 answer
819 views

Prove that $A$ is not diagonalizable

-3 votes
1 answer
85 views

Why elements of a (Lie) algebra act on the algebra, in the adjoint representation?

1 vote
2 answers
461 views

Inner product and Hermitian matrices

4 votes
2 answers
134 views
+50

Expected number of lattice points in a randomly inscribed triangle

6 votes
1 answer
2k views

Circle-Cirle Intersection

1 vote
0 answers
20 views

The role of the de Rham theorem in $\nabla C^\infty(X)\cong C^\infty_0(X)$

2 votes
1 answer
765 views

Proof of positive homogeneity of risk measure

1 vote
0 answers
14 views

Simplify an expression for subsequent numerical integration

2 votes
0 answers
19 views

Question on Stokes phenomenon in Picard-Lefschetz theory

2 votes
2 answers
140 views

Robinson's word vs Rotman's word: can the second be derived from the first?

-1 votes
1 answer
26 views

Finding change of basis matrices in $\mathbb{R}^2$

4 votes
1 answer
2k views

An exercise about the regular Borel measures

0 votes
2 answers
308 views

how to prove: $A=B$ iff $(\forall C)~A\bigtriangleup B \subseteq C$

4 votes
4 answers
1k views

$\gcd(a,b)=1, x^a = y^b\Rightarrow x = n^b$, $ y = n^a$ for an integer $n$.

1 vote
0 answers
197 views
+50

$\Omega^1_{k[[X]]/k}$ is not finitely generated over $k[[X]]$

1 vote
3 answers
1k views

Schlafli symbol determining number of faces

1 vote
2 answers
82 views

Why is $\pi_{0} \left(G \right)$ a discrete and countable Lie group

1 vote
2 answers
166 views

How would I reverse the order of these integrals?

1 vote
1 answer
69 views

Any easier ways to prove an explicit form for a generated $\sigma$-algebra besides transfinite induction?

10 votes
2 answers
218 views

Polyhedron with least number of vertices whose diagonal faces enclose an interior solid region

1 vote
1 answer
52 views

Beginning time of i-th excursions of Wiener process is a stopping time?

0 votes
1 answer
766 views

Set of vectors tangent to $f^{-1}(p) \in \mathbb{R^{n+1}}$ need not be a vector subspace of $\mathbb{R^{n+1}}$

0 votes
0 answers
106 views

Decomposition of a Schwartz function by Lacey and Thiele

2 votes
1 answer
789 views

Proof about twice differentiable function.

7 votes
5 answers
714 views

Canonicity of the push-pull map for sheaves of sets

1 vote
2 answers
124 views

How to decompose $Sym^n V \otimes V$, where V is some irreducible representation?

11 votes
3 answers
430 views
+100

Six circles in a rectangle: show that two lengths are equal

4 votes
0 answers
48 views

Cycles and terminating sequences in the recurrence $N_{k+1}=N_k-\operatorname{rev}(N_k)$.

0 votes
2 answers
49 views

Discarding absolute value symbol while solving a linear differential equation.

13 votes
3 answers
536 views

Compare $\log_5(\log_4 3)$ and $\log_6(\log_6 3)$

0 votes
1 answer
758 views

Upper and Lower Bounds Proof for Positive Functions

3 votes
3 answers
153 views

Topologist's Comb: why can't you produce a deformation retraction to a point on one of the teeth?

2 votes
1 answer
88 views

derivative of integral of a function with respect to the same function

2 votes
0 answers
74 views

$2^n-1$ can't be a powerful number?

0 votes
0 answers
16 views

Generalizing the Bellissard non-commutative approach for disordered systems to Hamiltonians of self-similar fractal graphs

2 votes
1 answer
61 views

Do real plane algebraic curves have a factorization corresponding to connected components?

0 votes
0 answers
37 views

Localization at a prime of a subring preserves noetherianity

0 votes
0 answers
65 views

Is this connection between an infinite series and OEIS A152619 known?

0 votes
1 answer
783 views

Outer Measure is not Finite Additive

0 votes
2 answers
128 views

Prove $\sum \frac{x(4x-y-z)}{4x^2+(y+z)^2}\ge \frac{3}{4}$ for real variables

0 votes
0 answers
10 views

Let $r_n$ be the least $N$ s.t. every $p^n$-th power mod $\mathfrak{m}_K^N$ lifts. Do we almost have $r_n=r_{n-1}+e$ for $e$ the ramification index?

1 vote
0 answers
90 views

Can the Impossible Cube be isometrically embedded as geodesics in Nil geometry, just as the Penrose triangle is a geodesic triangle?

1 vote
0 answers
28 views

Are there existing results on the number of solutions to $x^2 - y^2 = n$ in the quadratic ring $\mathbb{Z}_{m}[\sqrt D]$?

0 votes
1 answer
762 views

How to express subset notation in first order set theory?

0 votes
0 answers
9 views

Additive discrete group actions of self-Pontrjagin dual topological rings with pro-Lie stabilizer

2 votes
2 answers
86 views

Calculation of lower branch of Lambert W-function based on root of principal branch

0 votes
0 answers
28 views

When a cubic irrational can be written in terms of two nonnegative powers?

0 votes
0 answers
47 views

A question on Remark A.1.2.8 in Higher Topos Theory

27 votes
4 answers
7k views
+100

Prove the inequality $\frac{b+c}{a(y+z)}+\frac{c+a}{b(z+x)}+\frac{a+b}{c(x+y)}\geq \frac{3(a+b+c)}{ax+by+cz}$

2 votes
1 answer
87 views

Simplify expression for lemniscate tangent function

142 votes
30 answers
60k views

Proofs of AM-GM inequality

7 votes
5 answers
603 views

$E[X_T]$ for $T=\min\{n: \sum_{i=1}^nX_i\geq1\}$ where $X_i\sim U[0,1]$.

0 votes
1 answer
82 views
+50

Is Riemann integrability of Banach-valued functions preserved under uniform limits?

2 votes
0 answers
13 views

Conditional convergence of uniformly integrable submartingale?

0 votes
0 answers
195 views

Deriving the formula $M= \frac {Ar(1+r)^n}{(1+r)^n-1}$ for the monthly payment $M$ of a mortgage $A$ with interest rate $r$, using $n$ payments

4 votes
2 answers
409 views

Pigeonhole principle based measure

2 votes
1 answer
86 views

No periodic orbit using Bendixon's criteria

1 vote
1 answer
76 views

Two definition of Inverse Ackermann Function

20 votes
3 answers
6k views

Radon-Nikodym derivative of product measure

0 votes
0 answers
30 views

Structure Theorem for finitely generated modules over PID Proof

2 votes
1 answer
29 views

Help understanding this Carter-Wegman proof on the lower bound of collisions in a hash family

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