User Pax

3 votes

If $\lim\limits_{n \to \infty} \frac{a_n}{b_n}=1 \rightarrow \sum_{n=1}^\infty a_n = \sum_{n=1}^\infty b_n$

answered Jul 15, 2015 at 0:50

3 votes

Accepted

Find $x$ for inequality of $1+x+x^{2}+x^{3}+...+x^{99}\le0$

answered Nov 5, 2013 at 7:43

3 votes

Extension of rings decreasing Krull dimension

answered Jul 17, 2015 at 13:50

3 votes

Accepted

Free group with relations

answered Nov 16, 2015 at 8:43

3 votes

Accepted

Classification of $O(2)$-bundles in terms of characteristic classes.

answered Mar 25, 2016 at 3:30

2 votes

Accepted

Let F be a finite field of characteristic $p$. Show $f(a) = a^p$ is a ring homomorphism, injective, and surjective

answered Mar 24, 2016 at 5:50

2 votes

Isometry group of a product of isomorphic manifolds

answered Oct 28, 2015 at 17:41

2 votes

Accepted

Looking for an identity for characteristic polynomial of a matrix to the power of n

answered Sep 15, 2015 at 7:15

2 votes

Accepted

How can I show $U_n(\mathbb{C})$ is a compact subgroup of $GL_n(\mathbb{C})$

answered Sep 16, 2015 at 4:38

2 votes

$\det (e^A) = e^{\text{Tr}(A)}$ without Jordan canonical form, Schur decomposition?

answered Sep 30, 2015 at 20:32

2 votes

Accepted

The sections of the projection $\bigsqcup_{i:I} X_i \rightarrow I.$

answered Sep 1, 2015 at 21:07

2 votes

Accepted

What is the center of $\mathbb{C}S_3$?

answered Sep 3, 2015 at 17:50

2 votes

Accepted

How to read this logical statement in English?

answered Sep 26, 2013 at 0:15

2 votes

If $P(A) < P(A \cup B)$, does that mean that $A\subsetneq (A\cup B)$?

answered Apr 15, 2015 at 4:04

2 votes

Max/min of reals as Cauchy sequences

answered Jan 8, 2013 at 22:27

2 votes

Prove every isometry of the plane is expressible as product of reflections, translations, rotations

answered Dec 21, 2013 at 8:04

2 votes

What is a number?

answered Sep 15, 2013 at 23:05

2 votes

Accepted

Finding dual of matrix algebra

answered Oct 6, 2021 at 6:26

2 votes

Ring structure of cohomology from homotopy classes of maps into Eilenberg-Maclane spaces

answered Feb 8, 2017 at 23:16

2 votes

Accepted

Minimum eigenvalue of random matrices

answered Sep 14, 2021 at 8:50

2 votes

Estimation of the Hermite Polynomials using Plancherel-Rotach asymptotics

answered Aug 17, 2020 at 22:45

2 votes

Accepted

Are there conditions for a sum or difference of linear maps between the same spaces to be an isomorphism?

answered Aug 13, 2016 at 7:22

2 votes

Does $(p^{\lambda_1}-1)\cdots(p^{\lambda_m}-1)$ divide $p^n-1$?

answered Aug 15, 2016 at 14:53

2 votes

Accepted

Why does the inclusion: ${PP}^n\to {RP}^{\infty}$ induce the isomorphism on cohomologies with coefficient $Z_2$

answered Oct 10, 2016 at 20:02

2 votes

Is this collection of function uniformly equicontinuous? Hints on the proof.

answered Jul 7, 2016 at 6:39

2 votes

Accepted

I need to find Variance of stochastic process $X_{t} = \int_{0}^{t} W^{+}_{s}dW_{s}$

answered Sep 11, 2020 at 18:53

2 votes

Accepted

Show that there is a unique solution to $\min \left\lVert Ax-b \right\rVert_2$

answered Jun 6, 2021 at 18:30

2 votes

Accepted

Prove that $A: (v_1)^\perp \to (v_1)^\perp ,\ e_j\mapsto Pv_j$'s determinant stays the same for all ONBs $e_j$, where $P$ is an orthogonal projection.

answered Jun 7, 2021 at 5:45

1 vote

Smooth manifolds with a hole are homeomorphic

answered Jun 15, 2021 at 18:13

1 vote

Global Lyapunov function to examine global stability?

answered Aug 5, 2021 at 23:23

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130 Answers

If $\lim\limits_{n \to \infty} \frac{a_n}{b_n}=1 \rightarrow \sum_{n=1}^\infty a_n = \sum_{n=1}^\infty b_n$

Find $x$ for inequality of $1+x+x^{2}+x^{3}+...+x^{99}\le0$

Extension of rings decreasing Krull dimension

Free group with relations

Classification of $O(2)$-bundles in terms of characteristic classes.

Let F be a finite field of characteristic $p$. Show $f(a) = a^p$ is a ring homomorphism, injective, and surjective

Isometry group of a product of isomorphic manifolds

Looking for an identity for characteristic polynomial of a matrix to the power of n

How can I show $U_n(\mathbb{C})$ is a compact subgroup of $GL_n(\mathbb{C})$

$\det (e^A) = e^{\text{Tr}(A)}$ without Jordan canonical form, Schur decomposition?

The sections of the projection $\bigsqcup_{i:I} X_i \rightarrow I.$

What is the center of $\mathbb{C}S_3$?

How to read this logical statement in English?

If $P(A) < P(A \cup B)$, does that mean that $A\subsetneq (A\cup B)$?

Max/min of reals as Cauchy sequences

Prove every isometry of the plane is expressible as product of reflections, translations, rotations

What is a number?

Finding dual of matrix algebra

Ring structure of cohomology from homotopy classes of maps into Eilenberg-Maclane spaces

Minimum eigenvalue of random matrices

Estimation of the Hermite Polynomials using Plancherel-Rotach asymptotics

Are there conditions for a sum or difference of linear maps between the same spaces to be an isomorphism?

Does $(p^{\lambda_1}-1)\cdots(p^{\lambda_m}-1)$ divide $p^n-1$?

Why does the inclusion: ${PP}^n\to {RP}^{\infty}$ induce the isomorphism on cohomologies with coefficient $Z_2$

Is this collection of function uniformly equicontinuous? Hints on the proof.

I need to find Variance of stochastic process $X_{t} = \int_{0}^{t} W^{+}_{s}dW_{s}$

Show that there is a unique solution to $\min \left\lVert Ax-b \right\rVert_2$

Prove that $A: (v_1)^\perp \to (v_1)^\perp ,\ e_j\mapsto Pv_j$'s determinant stays the same for all ONBs $e_j$, where $P$ is an orthogonal projection.

Smooth manifolds with a hole are homeomorphic

Global Lyapunov function to examine global stability?