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feralin
  • Member for 9 years, 10 months
  • Last seen more than 2 years ago
8 votes

Applications of complex numbers to solve non-complex problems

3 votes
Accepted

Give an example of a linear map $T: \Bbb R^2 → \Bbb R^2$, such that $T^{12}$ has real eigenvalues, while $T^n$, with $n= 1,2,...,11,$ do not.

3 votes

Let G be a finite Abelian group which contains a proper subgroup H which in contained in every proper subgroup of G. Prove G is cyclic. order of G

2 votes
Accepted

Prove that$ f(\varphi ( \overline{x}))=0$

1 vote
Accepted

complex analysis(introduction) - locus on Argand diagram satisfying $z^{n-1}=\bar{z}$ ($z\in\mathbb{C}, n\in\mathbb{N}\setminus\{1\}$)

1 vote
Accepted

Check this double integral

1 vote

Prove that if $n \mid 1 + \sum_{k=0}^{n-1} k^{n-1}$ then $n$ is prime.

0 votes

Are certain integer functions well-defined modulo different primes necessarily polynomials?

0 votes

There is a prime between $n$ and $n^2$, without Bertrand

0 votes

Abel's theorem power series

0 votes
Accepted

Prove that a non-constant rational function on a variety has an infinite image

0 votes
Accepted

Given a field extension $L : K : F$, if $L:F$ and $K:F$ are finitely generated then so is $L:K$.

0 votes

complex analysis(introduction) - locus on Argand diagram satisfying $z^{n-1}=\bar{z}$ ($z\in\mathbb{C}, n\in\mathbb{N}\setminus\{1\}$)