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1 vote
1 answer
49 views

Notion of "exact" connectedness

0 votes
2 answers
20 views

Let $\phi : G \rightarrow G'$ be an isomorphism. Prove that if H is a normal subgroup of G, then $\phi(H)$ is a normal subgroup of G'.

0 votes
2 answers
44 views

If $x,\overline{x}$ are non-real complex numbers, then if $x,\overline{x}$ solves $z^2+az+b=0$ then $a,b\in \mathbb{R}$

0 votes
0 answers
3 views

Number of iterations needed for the method of steepest descent

0 votes
0 answers
6 views

Complex Analysis - proof of open set via continuity of preimages.

1 vote
0 answers
7 views

If $A$ is a discrete set, compact convergence on $\Omega \setminus A$ implies compact convergence on $\Omega$

0 votes
0 answers
9 views

Inclusive Disjunction Problem

1 vote
1 answer
48 views

Categorical condition for the cokernel of a "diagonal" map

0 votes
0 answers
5 views

Epicycloid from iterated power sequence with unit modulus

1 vote
1 answer
117 views

Understanding the motivation of a step in a proof

1 vote
0 answers
5 views

Conditions for a Random Variable to Satisfy a Probability Bound on Boundary Points.

1 vote
1 answer
25 views

Partitioning a sequence of real numbers to a finite number of convergent subsequences

5 votes
1 answer
149 views

What makes a math problem important?

2 votes
1 answer
96 views

Adequate Root Finder To Compute The Quantile Function

0 votes
0 answers
3 views

Connected graph and set of transpositions?

3 votes
2 answers
87 views

row rank = column rank over a PID?

3 votes
1 answer
113 views
+50

Minimizing surface area of revolution for a fixed volume of revolution

4 votes
2 answers
77 views

Computing the Hessian from the Jacobian of the gradient

2 votes
1 answer
36 views

Image of the transpose of a matrix over a ring

1 vote
2 answers
2k views

Can a convex/concave function be transformed to a concave/convex function in a generic way?

2 votes
2 answers
74 views

Intuition behind the identity $\overline{\phi^*(V(\mathfrak b))}=V(\mathfrak b^c)$

2 votes
0 answers
28 views

Proving the Absence of a Property without Contrapositive

6 votes
4 answers
357 views

Can a group have a subgroup whose complement is closed under the group operation?

7 votes
0 answers
71 views

Finding non-repeating 9-digit numbers

2 votes
0 answers
18 views

Bessel function half angle fourier series expansion

2 votes
1 answer
70 views

$I_n=\int_{0}^{\pi} e^{-n \sin x}\,dx $

0 votes
0 answers
16 views

Subgroup lattice of $Z_{qp^2}$ where q and p are distinct primes.

2 votes
0 answers
18 views

What conditions a curve needs to satisfy in order not to be a level curve?

0 votes
0 answers
7 views

Equivalence between controllability criteria

0 votes
0 answers
16 views

Implicit solution curve of ODE = solution without time dependence

0 votes
0 answers
29 views

How to construct exponentiation over all of $\mathbb{R}$?

1 vote
1 answer
51 views

Riemannian Manifolds (Lee) Exercise 6-28 (d): Isometries converging pointwise converge topologically

4 votes
1 answer
834 views

$G_\delta$ singletons in compact Hausdorff and first countability

-1 votes
0 answers
18 views

Mean of periodic function

0 votes
0 answers
26 views

Is this formulation of Zeta function Valid in the Critical Strip

1 vote
1 answer
56 views

Singular locus of $\mathbb{F}_p[x,y,z]/(xy-z^2)$

0 votes
1 answer
73 views

When is $\pi_{k}(X_{p}^{\wedge})$ not isomorphic to the p-completion of the group $\pi_{k}(X)$?

5 votes
0 answers
20 views

"Flipping fractions" and a strange involution

2 votes
1 answer
27 views

Why are non-compact Hermitian symmetric spaces Stein spaces?

2 votes
1 answer
42 views

Convergence of series regarding symmetric difference

2 votes
1 answer
2k views

Poisson, Gamma distribution example.

4 votes
1 answer
154 views
+100

What is the number of facets of a $d$-dimensional cyclic polytope?

0 votes
0 answers
27 views

The differentiability of a limit

0 votes
0 answers
13 views

Variant of Birkhoff Orthogonality, Linear Analysis 4.12

1 vote
0 answers
20 views

Holomorphic interpolation of a square summable sequence

1 vote
1 answer
26 views

Similarity between Field Extension Towers and Tensor Products

0 votes
1 answer
35 views

Approximation of a measurable set in product space by rectangles from inside

1 vote
0 answers
21 views

Mistake in a proof of the Hockey Stick identity

5 votes
0 answers
80 views

Meaning of the German term "Schließungssatz"

1 vote
0 answers
28 views

Analytic uniformization

1 vote
1 answer
26 views

Nonsingularity about the controlability gramian

0 votes
1 answer
997 views

Sketch the phase flow for this system $\dot r = (1-r^2)\cosh(r)$ , $\dot \theta = 1$

2 votes
1 answer
78 views

A method of solving systems of linear equations in $\mathbb{C}$

0 votes
0 answers
7 views

Ways of finding upper bounds of hypergeometric functions

1 vote
0 answers
34 views

Finding $\min_{Q^TQ = I}(n Tr((Q^T \Lambda Q)^2) - Tr(Q^T \Lambda Q)^2)$

5 votes
1 answer
81 views

Is it really necessary to go to all this trouble to split division algebras?

0 votes
0 answers
6 views

Spectrum of $S_r$ and $S_l$ on $\ell _2 (\mathbb{Z})$

0 votes
0 answers
11 views

A model category whose Hammock localization gives the infinite category of infinite functors from differential graded algebras to simplicial sets

0 votes
0 answers
15 views

Creating a Finite Sized "Clique-based Network"

0 votes
1 answer
48 views

Chessboard Domination by too few queens?

10 votes
1 answer
286 views

Axler "Linear Algebra Done Right" Exercise 6.B.13

2 votes
0 answers
37 views

Attempt to derive Taylor expansion using discrete time steps

4 votes
1 answer
58 views

Clarification on Without Loss of Generality

0 votes
0 answers
28 views

Combinatorial identity (lower summation)

0 votes
0 answers
19 views

Examine whether the equilibrium is stable or unstable

0 votes
0 answers
35 views
+50

Sobolev functions approximated by ridge functions

0 votes
0 answers
6 views

How to define a two sided linear map from an hilbert bimodule to a $ C^* $ - algebra?

0 votes
2 answers
35 views

How do we know that the euclidean algorithm produces the greatest common factor and not just one of the common factors?

1 vote
1 answer
26 views

Attempted Proof of that a function is borel-measurable.

0 votes
0 answers
9 views

Expectation of Inverse-chi-squared distribution with 1 degree of freedom

2 votes
3 answers
103 views

Use $\,\varepsilon-\delta\,$ definition of limits to show that $\lim\limits_{(x,y)\to(-1,2)}\frac{x^3+y^3}{x^2+y^2}=\frac{7}{5}$

0 votes
0 answers
34 views

Degenerate perturbation theory to nonlinear equation

4 votes
0 answers
81 views

prove $\mathcal{L}^n(A(E))=|\det A|\mathcal{L}^n(E) $

0 votes
1 answer
52 views

Is there a geometric interpretation to this complex equation?

3 votes
0 answers
54 views

Integral $\int_x\Big|\frac{f(x)-f(0)}{x}\Big|^2\,dx$

0 votes
0 answers
21 views

Minimum Spanning Tree (MST): Cut property direct proof

3 votes
1 answer
48 views

Any two disjoint subsets in a family of subsets intersect, prove that any maximal such family of subsets must contain $2^{n-1}$ subsets

2 votes
1 answer
55 views

Algebraic extension of $\operatorname{End}(R^{n})$ acts on $R^{m}$?

2 votes
2 answers
45 views

Law of Total Probability and Conditional Probability

1 vote
0 answers
29 views

Determining a Lyapunov function based on solution of differential equation

0 votes
0 answers
23 views

Relation between infinite Taylor series and root of a function

0 votes
1 answer
64 views

$z = xy$ intersects with $y = 2x^2$ on a curve. Points on curve are connected to $(0,0,0)$ by a line segment. Area of segment. Solution verification.

1 vote
0 answers
23 views

$(M,h)$ and $(N,g)$ are Hermitian manifolds. $f:M\to N$ is holomorphic. What is the meaning of $f^*g\leq h$?

5 votes
0 answers
93 views

How to evaluate the integral $\int_0^{\infty} \frac{\sin(k \ln(t))}{\sqrt{t}} \left\{\frac{1}{t}\right\} \, dt $

4 votes
0 answers
26 views

Is there a Log-Sobolev inequality for Lebesgue measure on $[0,1]$ on compact subsets of $\mathbb R^n$?

2 votes
0 answers
31 views

Jacobson Radical

1 vote
0 answers
28 views

Equality of two completions

0 votes
0 answers
4 views

elliptic estimates for Hermitian line bundles on Kahler manifolds

0 votes
0 answers
15 views

clarification on the sum of the squared differences

1 vote
0 answers
27 views

how to find closed form for ${}_3F_2(-1)$ function ideintity?

3 votes
0 answers
18 views

Examples of closed categories which are not monoidal closed?

1 vote
1 answer
37 views

Compact + absolute convergence of eigenvalues $\Rightarrow$ trace class?

1 vote
2 answers
28 views

In a graded algebra $B$, is $B_+$ always prime?

-1 votes
1 answer
51 views

Maximum value of $a_{1}a_{2}+a_{2}a_{3}+\cdots +a_{7}{a_{8}}$

0 votes
0 answers
33 views

Why are split monomorphisms equalizers?

7 votes
2 answers
993 views

Evaluating $\prod_{k=1}^{n-1}\sin\frac{k \pi}{n}$ without using complex numbers

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