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5 votes
2 answers
1k views

Limits and Series in Smooth Infinitesimal Analysis

3 votes
3 answers
171 views

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

4 votes
5 answers
256 views

Length of ellipse on a cylindrical surface

1 vote
1 answer
5k views

Solution Manual for Graph Theory with Applications (Bondy and Murty)

4 votes
1 answer
113 views

distribution of bisecting great circles

0 votes
0 answers
21 views

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

9 votes
3 answers
289 views

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

5 votes
3 answers
417 views

Alterations of Digits in Integers (Q. 18)

4 votes
2 answers
342 views

Evaluate the integral $\int_0^{\frac{\pi}{2}}\ln\left(2\sin\left(\frac{x}{2}\right)\right) \ln\left(\cot x\cot \left(\frac{x}{2}\right)\right)dx$

3 votes
1 answer
144 views

Constructing diffeomorphisms of moduli spaces of $J$-holomorphic curves

0 votes
1 answer
87 views

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

3 votes
1 answer
715 views

Cartesian product of two $G_\delta$ sets is measurable

1 vote
2 answers
166 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

0 votes
2 answers
108 views

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

1 vote
2 answers
715 views

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

2 votes
1 answer
47 views

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

0 votes
1 answer
750 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
525 views

How to identify mathematical model of "Fuel Problem"?

0 votes
0 answers
355 views

How to solve advection-diffusion equation by using transformation.

-1 votes
1 answer
71 views

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

2 votes
1 answer
41 views

Unbiased estimator assumption for delta method

0 votes
0 answers
15 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
1 answer
410 views

A zombie apocalypse

0 votes
0 answers
18 views

Second fundamental form and geodesic curvatures of frame lines

8 votes
1 answer
123 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
29 views

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

4 votes
1 answer
162 views

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

0 votes
1 answer
724 views

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

-1 votes
1 answer
51 views

Alterations of digits in integers

0 votes
0 answers
21 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

16 votes
1 answer
3k views

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

2 votes
0 answers
143 views

A Partial Differential Equation

0 votes
1 answer
58 views

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

1 vote
1 answer
86 views

A question about mapping class group of the torus

5 votes
1 answer
380 views

Relative difficulty of angle trisection and cube roots

1 vote
1 answer
86 views

Tensor product of structure sheaves

3 votes
1 answer
117 views

Exercise in Charlap's book

1 vote
2 answers
712 views

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

1 vote
1 answer
191 views

Is there a general form of magic squares?

5 votes
0 answers
150 views

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

10 votes
1 answer
279 views

homology classes and maps to projective spaces

2 votes
3 answers
123 views

matrix multiplication over $\mathbb C$

2 votes
1 answer
952 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
68 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

4 votes
0 answers
50 views

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

0 votes
1 answer
44 views

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

0 votes
0 answers
15 views

Bounds on the Expectation of a Supremum over all Markov Kernels

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

-1 votes
3 answers
725 views

Resultant Velocity

1 vote
1 answer
41 views

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

6 votes
1 answer
135 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
65 views

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

0 votes
2 answers
36 views

# Concyclicity and Power of a Point in a Circle

5 votes
1 answer
168 views

Is this a version of Aubin Lions Lemma?

0 votes
0 answers
16 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
52 views

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

0 votes
1 answer
56 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
51 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
43 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
50 views

Incomplete Gammafunction

1 vote
1 answer
72 views

$W^{\infty,p}(\Omega)=C^\infty(\Omega)$ for non-Lipschitz bounded domains $\Omega$?

0 votes
1 answer
142 views

Finding an optimal trajectory

4 votes
0 answers
44 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
43 views

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

2 votes
1 answer
304 views

Conceptual understanding of minimalist axioms for metric space

1 vote
0 answers
23 views

Does the exterior algebra flip statistics for all superspaces?

0 votes
3 answers
45 views

Trouble constructing a set with specific density at a point

2 votes
0 answers
18 views

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

0 votes
0 answers
38 views

Visually, what is the atomic norm?

1 vote
0 answers
49 views

Probabilistic model for prime gaps

0 votes
0 answers
46 views

Finding values in-between a matrix

3 votes
1 answer
41 views

Recursive functions with μ-operator

2 votes
0 answers
42 views

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

2 votes
6 answers
288 views

$\frac{b^2-a^2}{c+a} + \frac{c^2-b^2}{a+b} + \frac{a^2-c^2}{b+c} \ge 0$ Proof

2 votes
0 answers
50 views

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

1 vote
1 answer
88 views

Probability and set theory (limsup and liminf exercises)

0 votes
2 answers
715 views

Show that a normed vector space is complete

1 vote
3 answers
2k views

Countable connected subsets of $\mathbb R$

2 votes
1 answer
743 views

Number of zeros of Wronskian

2 votes
1 answer
341 views

Torsion in a manifold embedded in the 3 sphere

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