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ancient mathematician's user avatar
ancient mathematician's user avatar
ancient mathematician
  • Member for 7 years, 5 months
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48 votes

If two pairs of numbers have equal sums and products, what can we conclude about the pairs?

17 votes
Accepted

Does a group of order $400$ always have a subgroup of order $200$?

10 votes
Accepted

Groups of order $p^3$

9 votes
Accepted

Factorize : $P(x)=x^6+x^2+1$

9 votes
Accepted

General formula for eigenvectors of a 3x3 matrix

8 votes
Accepted

An equality about cyclotomic polynomials

8 votes
Accepted

Finding a more efficient solution to a trigonometric identity problem.

7 votes

Evaluate: $\lim_{n\to \infty}\left(\frac{a+n}{b+n}\right)^n$

7 votes
Accepted

Finding polynomial to the power of 2020

6 votes
Accepted

Determinant of matrix over $\mathbb{F}_{p}[x]$

6 votes

Eigen matrices?

6 votes
Accepted

Can a real matrix have arbitrary complex eigenvalues?

6 votes
Accepted

Polynomial gcd of $x^5+x+1$ and $x^2+1$

6 votes
Accepted

How to formally conclude that $ x^2-(\zeta_9+\zeta^{-1}_9)x+1 $ is irreducible over $\Bbb Q(\zeta_9+\zeta^{-1}_9)$

6 votes
Accepted

Some questions about the successor function

6 votes

Multivariate Faà di Bruno's formula

6 votes
Accepted

Is a subgroup test necessary if proving normality?

6 votes
Accepted

When the direct and semi-direct products are isomorphic.

6 votes
Accepted

A problem from Hardy's_Pure Mathematics on Real variables about Linear equations in 3 variables

5 votes

No group has $\mathbf{N}_5$ as its lattice of subgroups

5 votes

Classifying the groups of order 56

5 votes

$\mathbb{Z} \times \mathbb{Z}$ and application of isomorphism theorems

5 votes

Infinite Series Issue

5 votes
Accepted

Generalizing trig-sum to product using complex exponentials

5 votes

Formula for determinant of sum of matrices

5 votes

Finding Subgroups Of $S_{15}$

5 votes

sum of (some) $p$-th roots of unity, $p$ prime

5 votes

Find 2 basis $M=\left\{v_1,v_2,v_3\right\}$ and $N=\left\{w_1,w_2,w_3\right\}$ such that $T_{MN(f)}$

5 votes

Prove that $|AB - \lambda I| = |BA - \lambda I|$.

5 votes
Accepted

Proving the product rule for the formal derivative over $F[X]$

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