User azureai

17 votes

3 answers

6k views

Finding a Galois extension of $\Bbb Q$ of degree $3$

asked Jan 24, 2017 at 20:16

13 votes

5 answers

2k views

Why does a group homomorphism preserve more structure than a monoid homomorphism while satisfying fewer equations

asked Oct 27, 2015 at 20:40

7 votes

2 answers

897 views

Towards a consistent notation for entropy and cross-entropy

asked Mar 4, 2021 at 21:26

6 votes

0 answers

140 views

Why do we write the rule for integration by substitution in a way that is different from what we're actually doing?

asked Jun 3, 2021 at 1:13

6 votes

2 answers

1k views

Reasoning for definition of locally homeomorphic

asked Aug 22, 2017 at 19:19

5 votes

1 answer

543 views

Understanding Structural Induction

asked Oct 16, 2015 at 12:37

5 votes

1 answer

3k views

The weak topology on an infinite dimensional linear space is not first-countable

asked Sep 1, 2015 at 17:05

4 votes

1 answer

873 views

Domain of double adjoint

asked Sep 24, 2015 at 8:30

4 votes

1 answer

216 views

Exercise on radical ideal and formal derivatives

asked Apr 16, 2016 at 17:56

4 votes

2 answers

6k views

Covariance matrix of multivariate Gaussian

asked Jan 26, 2017 at 22:56

3 votes

3 answers

447 views

Showing that $[\mathbb{Q}(\sqrt[\leftroot{-2}\uproot{2}4]{2}):\mathbb{Q}(\sqrt{2})]=2$

asked Jan 17, 2017 at 21:53

3 votes

1 answer

105 views

The set of prime ideals, whose contraction is a fixed prime in the ring of invariants, is finite.

asked Jun 30, 2016 at 19:03

3 votes

0 answers

960 views

General definition of orientation-preserving (continuous) map of surfaces

asked Aug 29, 2017 at 16:58

3 votes

3 answers

1k views

$\mathbb{Z}[i]\otimes_{\mathbb{Z}}\mathbb{R}$ is isomorphic to the complex numbers

asked May 6, 2016 at 16:58

3 votes

1 answer

925 views

Deducing the compactness theorem from the completeness theorem (in first order logic)

asked Feb 3, 2016 at 19:24

3 votes

2 answers

2k views

Is every Noetherian Ring an integral domain? [closed]

asked Apr 14, 2016 at 12:15

3 votes

2 answers

176 views

For $R$-modules M, is $M\cong R^{\oplus n}\otimes_RM\cong M^{\oplus n}$?

asked May 8, 2016 at 22:47

3 votes

1 answer

143 views

$L^p$ and $\mathscr{l}^p$ embeddings and norm inequalities

asked Sep 25, 2015 at 17:49

2 votes

2 answers

147 views

Associativity makes brackets redundant

asked Oct 14, 2015 at 17:13

2 votes

1 answer

3k views

Correctness of proof that weak convergence implies pointwise convergence in C([0,1])

asked Aug 31, 2015 at 15:48

2 votes

1 answer

640 views

Kernel of the map given by $j(m)=1\otimes m$ is in torsion module

asked May 14, 2016 at 15:35

2 votes

1 answer

264 views

General procedure to prove something is a tensor product of modules

asked May 19, 2016 at 23:26

2 votes

1 answer

459 views

Open set in $\ell^2$

asked May 29, 2016 at 16:45

2 votes

2 answers

1k views

On the notation of the likelihood function

asked Feb 10, 2021 at 14:36

2 votes

1 answer

1k views

Noetherian vector space is finite-dimensional

asked Jun 27, 2016 at 21:36

2 votes

2 answers

2k views

Formalising false positives as conditional probability

asked Jan 26, 2017 at 1:38

1 vote

0 answers

569 views

Understanding a proof that for finitely generated group, subgroup with finite index is finitely generated

asked Nov 5, 2016 at 13:50

1 vote

2 answers

167 views

Localizing a ring of invariants

asked Jun 30, 2016 at 13:50

1 vote

1 answer

61 views

Orbits of solution lie in level sets

asked Jul 3, 2016 at 21:53

1 vote

3 answers

444 views

Integral closure of Gaussian Integers

asked Jul 8, 2016 at 19:26

Stack Exchange Network

66 Questions

Finding a Galois extension of $\Bbb Q$ of degree $3$

Why does a group homomorphism preserve more structure than a monoid homomorphism while satisfying fewer equations

Towards a consistent notation for entropy and cross-entropy

Why do we write the rule for integration by substitution in a way that is different from what we're actually doing?

Reasoning for definition of locally homeomorphic

Understanding Structural Induction

The weak topology on an infinite dimensional linear space is not first-countable

Domain of double adjoint

Exercise on radical ideal and formal derivatives

Covariance matrix of multivariate Gaussian

Showing that $[\mathbb{Q}(\sqrt[\leftroot{-2}\uproot{2}4]{2}):\mathbb{Q}(\sqrt{2})]=2$

The set of prime ideals, whose contraction is a fixed prime in the ring of invariants, is finite.

General definition of orientation-preserving (continuous) map of surfaces

$\mathbb{Z}[i]\otimes_{\mathbb{Z}}\mathbb{R}$ is isomorphic to the complex numbers

Deducing the compactness theorem from the completeness theorem (in first order logic)

Is every Noetherian Ring an integral domain? [closed]

For $R$-modules M, is $M\cong R^{\oplus n}\otimes_RM\cong M^{\oplus n}$?

$L^p$ and $\mathscr{l}^p$ embeddings and norm inequalities

Associativity makes brackets redundant

Correctness of proof that weak convergence implies pointwise convergence in C([0,1])

Kernel of the map given by $j(m)=1\otimes m$ is in torsion module

General procedure to prove something is a tensor product of modules

Open set in $\ell^2$

On the notation of the likelihood function

Noetherian vector space is finite-dimensional

Formalising false positives as conditional probability

Understanding a proof that for finitely generated group, subgroup with finite index is finitely generated

Localizing a ring of invariants

Orbits of solution lie in level sets

Integral closure of Gaussian Integers