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1 vote
2 answers
151 views

Line integral $F(x,y,z) = \left( 2xyz + \sin(x)\right)\mathbf i + x^2z \mathbf j +x^2 y \mathbf k $

46 votes
1 answer
12k views

Proving that the pullback map commutes with the exterior derivative

-1 votes
2 answers
72 views

Is it possible to prove FLT for $n=3$ through proving $z/(x+y)$ to be irrational?

1 vote
2 answers
703 views

Given matrix $A$ and column vector $x$, what is the derivative of $Ax$ with respect to $x$?

1 vote
1 answer
18 views

Given an epimorphism of commutative rings $\varphi:A\to B$, what topological properties does $\operatorname{Spec}\varphi$ have?

0 votes
1 answer
743 views

Showing that there are unique real $a$ and $b$ satisfying $3\sin a-2\cos b=6a-12$ and $\cos a + 3\sin b=6b+6$

1 vote
3 answers
517 views

How to identify mathematical model of "Fuel Problem"?

0 votes
0 answers
6 views

Prime frequency plots based on the first term of the bi-linear expansion of log(n) as a bounded log

0 votes
0 answers
348 views

How to solve advection-diffusion equation by using transformation.

-1 votes
1 answer
69 views

How to find the convolution of the function with itself from graph

2 votes
1 answer
40 views

Unbiased estimator assumption for delta method

3 votes
2 answers
111 views

Value of $\prod_{p} \frac{p+1}{p}$?

3 votes
3 answers
225 views

Length of ellipse on a cylindrical surface

0 votes
0 answers
14 views

Extension of a Population Identity to the Joint Model

3 votes
4 answers
8k views

What is $\Gamma(1/4)$? I'm trying to figure out how you would go about solving it

9 votes
2 answers
398 views

A zombie apocalypse

0 votes
0 answers
12 views

Second fundamental form and geodesic curvatures of frame lines

8 votes
1 answer
120 views

$TT^*$ norm is equal to $\|T\|^2$ if $T:\mathcal{H}\to \mathcal{B}$ where $\mathcal{H}$ is Hilbert and $\mathcal{B}$ is Banach

0 votes
1 answer
26 views

Corank of Jacobian is preserved under base change (Vakil 13.1.L)

4 votes
1 answer
156 views

Solve $\log_5{(x)} \cdot \log_4{(27-x)}=1$

0 votes
1 answer
722 views

The complexified Lie algebra $\mathfrak{so}(p,q)_\mathbb{C}$ is isomorphic to $\mathfrak{so}(p+q,\mathbb{C})$

-1 votes
1 answer
49 views

Alterations of digits in integers

0 votes
0 answers
20 views

Is taking the infimum over a set of functions the same as taking the infimum over the co-domain of these functions

2 votes
1 answer
95 views

Equivalent definitions of unramified homomorphism

15 votes
1 answer
3k views

Munkres, Chapter 2, question on locally finite family of sets

2 votes
0 answers
140 views

A Partial Differential Equation

0 votes
1 answer
54 views

Possible issue with Theorem 19.2 in Munkres regarding basis of product topology

1 vote
1 answer
85 views

A question about mapping class group of the torus

0 votes
0 answers
66 views

Linear recurrence for the digits of $a_{mn}$ in base $a_n$

5 votes
1 answer
379 views

Relative difficulty of angle trisection and cube roots

1 vote
1 answer
82 views

Tensor product of structure sheaves

3 votes
1 answer
116 views

Exercise in Charlap's book

1 vote
2 answers
711 views

Is there an overcomplete equivalent of generating a random orthonormal basis set?

1 vote
1 answer
187 views

Is there a general form of magic squares?

4 votes
0 answers
143 views

Finding the minimum value of $\sum_{k=1}^{2n+1} \left \lvert \cos \left(kx \right) \right \rvert$

10 votes
1 answer
274 views

homology classes and maps to projective spaces

2 votes
3 answers
117 views

matrix multiplication over $\mathbb C$

2 votes
1 answer
950 views

Difference between F-space and Frechet space in W. Rudin's "Functional Analysis"

23 votes
4 answers
3k views

A person who lies a fourth of the time throws a die and says it is a six. What is the probability it is actually a six?

-1 votes
1 answer
67 views

Set-theoretic mathematical structure for Combinations ($^nC_{k_1} \times ^mC_{k_2}$) where $m$, $n$ are disjoint

0 votes
1 answer
712 views

partial derivative of conditional expectation

5 votes
1 answer
178 views

Number of representations of an integer by a binary quadratic form

3 votes
0 answers
45 views

Linear Dependence and Independence -- definition on a general module?

0 votes
1 answer
42 views

Question regarding the proof of theorem 3-12 from Calculus on manifolds by Spivak

5 votes
2 answers
1k views

Limits and Series in Smooth Infinitesimal Analysis

0 votes
0 answers
13 views

Bounds on the Expectation of a Supremum over all Markov Kernels

9 votes
3 answers
274 views

Find the maximum of $x_1+...+ x_9$ given $x_1, \cdots, x_9 \in [-1, 1]$ with $x_1^3 + \cdots + x_9^3 = 0$

1 vote
1 answer
103 views

Radius of convergence of power series is equal to one.

0 votes
1 answer
1k views

Definition of matrix transformation

3 votes
1 answer
103 views

distribution of bisecting great circles

0 votes
3 answers
724 views

Resultant Velocity

1 vote
1 answer
36 views

Normal subgroup of a finite index subgroup has a finite index subgroup normal in ambient group?

6 votes
1 answer
133 views

double sum $\sum _{m=1}^{\infty}\sum_{\substack{n=1 \\ n \neq m}}^{\infty}\frac{1-\left(-1\right)^{n+m}}{n^2-m^2}$

24 votes
5 answers
2k views

Clarifying the homomorphism's definition?

0 votes
1 answer
782 views

Why a monoidal category with only one object is a monoid in the category of monoids?

6 votes
3 answers
2k views

Definition of tautological section.

1 vote
2 answers
686 views

Does every (non-separable) Hilbert space have the approximation property?

1 vote
1 answer
64 views

The explicit description of exceptional sets in Gathmann's definition of blowing up

0 votes
2 answers
35 views

# Concyclicity and Power of a Point in a Circle

5 votes
1 answer
167 views

Is this a version of Aubin Lions Lemma?

0 votes
0 answers
15 views

Electrical flow for approximating graph metrics

0 votes
1 answer
54 views
+50

How to systematically find an unbounded direction in the simplex method? (Optimization Course)

4 votes
0 answers
51 views

Is it possible to find the surface area of this part of a channel surface?

0 votes
1 answer
53 views

Computing minors and rank of Jacobian matrix to show algebraic independence

1 vote
1 answer
47 views

Burnikel-Ziegler division for base $10^k$

0 votes
1 answer
48 views

Minimum modulus of a polynomial

0 votes
2 answers
57 views

Gaussian integral with complex linear term from 0 to infinity

1 vote
1 answer
42 views

A doubt of separably generated implies separable

1 vote
0 answers
24 views

Bias on smooth approximation conditional value at risk

0 votes
1 answer
48 views

Incomplete Gammafunction

3 votes
1 answer
762 views

Can the topology generated from the lexicographic order on $\mathbb{R}^2$ come from a metric?

0 votes
1 answer
139 views

Finding an optimal trajectory

4 votes
0 answers
41 views

Are there closed-form solutions to ODEs differential equations of the form $y''+ay'+by+cy|y|=0$? (non-linear damped pendulum approximation)

0 votes
1 answer
58 views

Is there a bijection from derived sets to topologies (over the same space)?

1 vote
0 answers
37 views

A question about polynomial function which $kf’(x_p)=f’(x_q)$

2 votes
1 answer
727 views

Is the Library of Babel random? Does it contain information?

3 votes
1 answer
154 views

Does extending all segments in a plane region by a constant factor increase the area by at most a constant factor?

2 votes
2 answers
112 views

Decomposable measures

1 vote
0 answers
22 views

Does the exterior algebra flip statistics for all superspaces?

4 votes
1 answer
1k views

Cholesky-like decomposition that works on singular matrices?

2 votes
0 answers
18 views

Convergence of an Ito-diffusion process to a finite state-space CTMC

0 votes
0 answers
37 views

Visually, what is the atomic norm?

1 vote
0 answers
47 views

Probabilistic model for prime gaps

10 votes
1 answer
209 views

What numbers are sums of 2 squares in $\mathbb Z/n\mathbb Z$ (modulo $n$)?

3 votes
1 answer
39 views

Recursive functions with μ-operator

2 votes
0 answers
41 views

Compact Zariski dense subgroup of rational points of semisimple algebraic group over local fields

2 votes
0 answers
50 views

Second gradient pointwise Green function estimates $|\nabla_x^2 G(x,y) | \le C |x-y|^{-d}$ for $L=\nabla(a(x)\nabla)$

3 votes
6 answers
10k views

How are matrices related to vectors?

1 vote
1 answer
719 views

Using Wronskian to find particular solution of $y''+\frac{1}{x}y'-\frac{m^2}{x^2}y=\frac{1}{1-x}$

11 votes
1 answer
750 views
+50

The $L^p$ Norm of an Integral Average

0 votes
0 answers
25 views

Why are local spaces more natural for hyperbolic systems?

1 vote
1 answer
736 views

Connected, simply connected, complete riemannian manifold that is locally isometric to $\mathbb{R}^n,S^n, H^n$ is isometric to $\mathbb{R}^n,S^n,H^n$

1 vote
1 answer
53 views

Can the points of an order 5 square tiling be described using hyperbolic coordinates with two real numbers?

2 votes
1 answer
338 views

Torsion in a manifold embedded in the 3 sphere

2 votes
1 answer
89 views

Simpler expression sought for this recursive structure

1 vote
1 answer
112 views
+50

Deriving the general area formula of an asymmetric lens with synthetic geometry

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