User Pax

16 votes

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Proof of Wilson's Theorem using concept of group.

answered Jul 21, 2015 at 7:44

12 votes

Right module vs left module

answered Oct 23, 2015 at 9:23

8 votes

I'm looking for some mathematics that will challenge me as a year $12$ student.

answered Nov 29, 2016 at 8:00

6 votes

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The Integral $\int\limits_0^1$ $\frac{e^x-\sum^{n-1}_{i=0} \frac{x^i}{i!}}{x^n}dx$

answered Sep 19, 2021 at 17:46

6 votes

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Prove that A is idempotent without using Jordan form

answered Sep 27, 2021 at 17:58

6 votes

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Free $\mathbb{Z}_{2}$ action on the plane

answered Oct 27, 2015 at 11:42

6 votes

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Injectivity/surjectivity of the $\sin$ function restricted to the rationals

answered Sep 30, 2015 at 19:04

5 votes

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Product of nilpotent matrices invertible

answered Sep 30, 2015 at 18:12

5 votes

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$\lim_{n \to \infty} \frac{\log(f(n))}{\log n} = a$ - Interpretation

answered Oct 3, 2015 at 22:13

4 votes

How do I prove that a subspace of a vector space $X$ is the null space of some linear functional on $X$?

answered Oct 18, 2015 at 6:25

4 votes

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Geometric results following from sections of a bundle being a module

answered Sep 30, 2015 at 18:50

4 votes

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Question about field extension notation

answered Apr 17, 2015 at 9:02

4 votes

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Show that every group of order 48 has a nontrivial normal subgroup.

answered Jul 26, 2013 at 21:28

4 votes

Simplify a proposition of logic: $p ∨ (p ∧ (\lnot p ∧ q ∨ r ∧ (p ∧ r)))$

answered Aug 22, 2013 at 11:41

4 votes

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cohomology of total space

answered Jul 7, 2016 at 5:06

4 votes

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Extension of Scalars and Polynomial Rings

answered Nov 12, 2016 at 20:12

3 votes

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There is no continuous injective function $f:\mathbb{R}^n\longrightarrow\mathbb{R}^m$

answered Nov 13, 2016 at 3:47

3 votes

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Found this identity by accident

answered Aug 22, 2020 at 8:06

3 votes

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Curie-Weiss probability and expected value distribution?

answered Aug 23, 2020 at 7:21

3 votes

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What is the definition of the dimension of an algebraic manifold?

answered Jul 1, 2016 at 2:59

3 votes

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Conjugation of a direct product

answered Jul 23, 2016 at 4:32

3 votes

Cohomology ring of $G$ based on its Sylow.

answered Jul 22, 2016 at 3:52

3 votes

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Numerical solution of BSDEs

answered Sep 25, 2021 at 7:00

3 votes

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Question about an integral of Bessel function $J_0$

answered Oct 9, 2021 at 17:54

3 votes

How to prove $L$ is an invertible sheaf?

answered Sep 14, 2021 at 23:51

3 votes

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The set $\mathcal G_R$ of right-invertible operators is not dense in $\mathcal B(X)$

answered Nov 9, 2021 at 16:21

3 votes

Prove that for all $n,m,M \in\mathbb N$, there exists $k \in \mathbb N$ such that $ (m+k\cdot n)>M$.

answered Sep 16, 2013 at 4:24

3 votes

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How many ordered triples of integers which are between 0 and 10 inclusive do we actually have if $a * (b+c) = a * b +c$

answered Nov 28, 2013 at 6:41

3 votes

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Quotient group - explanation over explanation

answered Aug 3, 2013 at 1:15

3 votes

Let $ I $ be an ideal in $\mathbb Z [i]$. Show that $\mathbb Z[i] /I $ is finite.

answered Jun 3, 2015 at 7:53

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130 Answers

Proof of Wilson's Theorem using concept of group.

Right module vs left module

I'm looking for some mathematics that will challenge me as a year $12$ student.

The Integral $\int\limits_0^1$ $\frac{e^x-\sum^{n-1}_{i=0} \frac{x^i}{i!}}{x^n}dx$

Prove that A is idempotent without using Jordan form

Free $\mathbb{Z}_{2}$ action on the plane

Injectivity/surjectivity of the $\sin$ function restricted to the rationals

Product of nilpotent matrices invertible

$\lim_{n \to \infty} \frac{\log(f(n))}{\log n} = a$ - Interpretation

How do I prove that a subspace of a vector space $X$ is the null space of some linear functional on $X$?

Geometric results following from sections of a bundle being a module

Question about field extension notation

Show that every group of order 48 has a nontrivial normal subgroup.

Simplify a proposition of logic: $p ∨ (p ∧ (\lnot p ∧ q ∨ r ∧ (p ∧ r)))$

cohomology of total space

Extension of Scalars and Polynomial Rings

There is no continuous injective function $f:\mathbb{R}^n\longrightarrow\mathbb{R}^m$

Found this identity by accident

Curie-Weiss probability and expected value distribution?

What is the definition of the dimension of an algebraic manifold?

Conjugation of a direct product

Cohomology ring of $G$ based on its Sylow.

Numerical solution of BSDEs

Question about an integral of Bessel function $J_0$

How to prove $L$ is an invertible sheaf?

The set $\mathcal G_R$ of right-invertible operators is not dense in $\mathcal B(X)$

Prove that for all $n,m,M \in\mathbb N$, there exists $k \in \mathbb N$ such that $ (m+k\cdot n)>M$.

How many ordered triples of integers which are between 0 and 10 inclusive do we actually have if $a * (b+c) = a * b +c$

Quotient group - explanation over explanation

Let $ I $ be an ideal in $\mathbb Z [i]$. Show that $\mathbb Z[i] /I $ is finite.