Question

Improving the Cauchy's bound on the absolute values of the roots of the monic polynomial $x^n=m \times \sum_{k=0}^{n-1} x^k$

score 189 · Answer 1 · 2026-04-17 11:32:57

189

Views

Improving the Cauchy's bound on the absolute values of the roots of the monic polynomial $x^n=m \times \sum_{k=0}^{n-1} x^k$

Published on 17 Apr 2026 - 11:32

score 143 · Answer 2 · 2026-04-12 01:46:01

143

Views

What field do entries of eigenvectors belong in?

Published on 12 Apr 2026 - 1:46

score 75 · Answer 3 · 2026-04-17 21:27:37

75

Views

Extreme values of $|z|$ when $|z^2+1|=|z-1|$

Published on 17 Apr 2026 - 21:27

score 60 · Answer 4 · 2026-04-09 07:44:10

60

Views

Making sense of complex derivatives

Published on 09 Apr 2026 - 7:44

score 255 · Answer 5 · 2026-04-09 15:55:53

255

Views

Integral of a function with complex numbers

Published on 09 Apr 2026 - 15:55

score 118 · Answer 6 · 2026-04-15 21:58:43

118

Views

Find all real values of a such that $x^2+(a+i)x-5i=0$ has at least one real solution

Published on 15 Apr 2026 - 21:58

score 617 · Answer 7 · 2026-05-05 18:43:38

617

Views

Let $z, w \in \mathbb{C}$. Prove that if $zw$ and $z + w \in \mathbb{R}$, then $z = \bar{w}$

Published on 05 May 2026 - 18:43

score 262 · Answer 8 · 2026-04-19 15:19:18

262

Views

Complexified bundle $\xi \otimes \mathbb{C}$ is isomorphic to its conjugate $\overline{\xi \otimes \mathbb{C}}$?

Published on 19 Apr 2026 - 15:19

score 239 · Answer 9 · 2026-04-11 07:38:18

239

Views

Limits with complex numbers and their modulus

Published on 11 Apr 2026 - 7:38

score 61 · Answer 10 · 2026-04-12 20:34:02

61

Views

write down functions in terms of complex coordinate $z=x+iy$

Published on 12 Apr 2026 - 20:34

score 222 · Answer 11 · 2026-04-12 06:45:03

222

Views

If A positive definite then $\det(A) \leq \prod_{i=1}^n a_{i,i}$

Published on 12 Apr 2026 - 6:45

score 35 · Answer 12 · 2026-04-17 06:57:33

35

Views

Is there an isomorphism of fields between $\mathbb{F}_{3^{2}}$ and $\mathbb{F}=\{a+bi; a,b \in \mathbb{F}_{3}\}$?

Published on 17 Apr 2026 - 6:57

score 407 · Answer 13 · 2026-04-18 11:45:53

407

Views

If $z+\frac{1}{z}=2\cos\theta,$ where $z\in\Bbb C$, show that $\left|\frac{z^{2 n}-1}{z^{2n}+1}\right|=|\tan n\theta|$

Published on 18 Apr 2026 - 11:45

score 610 · Answer 14 · 2026-04-15 06:29:32

610

Views

Find the two complex numbers whose sum is $5 - i$ and product is $8+i$

Published on 15 Apr 2026 - 6:29

score 89 · Answer 15 · 2026-05-10 17:39:03

89

Views

Distribution of Gauss sums on a circle in the Argand plane

Published on 10 May 2026 - 17:39

List Question

Improving the Cauchy's bound on the absolute values of the roots of the monic polynomial $x^n=m \times \sum_{k=0}^{n-1} x^k$

What field do entries of eigenvectors belong in?

Extreme values of $|z|$ when $|z^2+1|=|z-1|$

Making sense of complex derivatives

Integral of a function with complex numbers

Find all real values of a such that $x^2+(a+i)x-5i=0$ has at least one real solution

Let $z, w \in \mathbb{C}$. Prove that if $zw$ and $z + w \in \mathbb{R}$, then $z = \bar{w}$

Complexified bundle $\xi \otimes \mathbb{C}$ is isomorphic to its conjugate $\overline{\xi \otimes \mathbb{C}}$?

Limits with complex numbers and their modulus

write down functions in terms of complex coordinate $z=x+iy$

If A positive definite then $\det(A) \leq \prod_{i=1}^n a_{i,i}$

Is there an isomorphism of fields between $\mathbb{F}_{3^{2}}$ and $\mathbb{F}=\{a+bi; a,b \in \mathbb{F}_{3}\}$?

If $z+\frac{1}{z}=2\cos\theta,$ where $z\in\Bbb C$, show that $\left|\frac{z^{2 n}-1}{z^{2n}+1}\right|=|\tan n\theta|$

Find the two complex numbers whose sum is $5 - i$ and product is $8+i$

Distribution of Gauss sums on a circle in the Argand plane

Trending Questions

Popular # Hahtags

Popular Questions