List questions from complex-numbers

Published on 11 Apr 2026 - 2:53

58

Views

Elementary question about imaginary numbers.

Published on 10 Apr 2026 - 11:39

52

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Convergence of sequences in $\mathbb{C}$

Published on 14 Apr 2026 - 0:50

31

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Upper bound for $\left|(a+\pi)^k e^{i \pi x }- (a-\pi)^k e^{-i \pi x }\right|$.

Published on 14 Apr 2026 - 10:58

110

Views

If $a$ is a complex number s.t. $a\notin \mathbb R$, then $\mathbb R(a)=\mathbb C$?

Published on 15 Apr 2026 - 17:54

161

Views

Multiplying complex numbers

Published on 10 Apr 2026 - 11:47

467

Views

Convergence of $a_n = (1+i)^n+(1-i)^n$

Published on 14 Apr 2026 - 1:47

78

Views

Determine the set of points $M$ of affix of $z\in\mathbb{C}$

Published on 16 Apr 2026 - 8:00

68

Views

proving $zw+\frac{16}{zw}=-8\cos(\theta+\beta)$

Published on 16 Apr 2026 - 14:46

81

Views

Inequality which involves complex numbers and absolute values

Published on 13 Apr 2026 - 10:27

658

Views

Prove $|\cos^2(z)| + |\sin^2(z)| > 1$ for complex numbers $z$ with nonzero imaginary part

Published on 15 Apr 2026 - 0:46

243

Views

Determine the number of zeros for $4z^3-12z^2+2z+10$ in $\frac{1}{2}<|z-1|<2$.

Published on 16 Apr 2026 - 16:10

467

Views

Another way to prove that if n$^{th}$-degree polynomial $r(z)$ is zero at $n+1$ points in the plane, $r(z)\equiv 0$?

Published on 15 Apr 2026 - 1:12

157

Views

Finding $\tan \pi/8$ from $\sqrt{1+i}$.

Published on 12 Apr 2026 - 13:30

880

Views

Show that a non-constant entire function has a dense image.

Published on 16 Apr 2026 - 9:31

List Question

Balance of forces in a mechanics problem

Elementary question about imaginary numbers.

Convergence of sequences in $\mathbb{C}$

Upper bound for $\left|(a+\pi)^k e^{i \pi x }- (a-\pi)^k e^{-i \pi x }\right|$.

If $a$ is a complex number s.t. $a\notin \mathbb R$, then $\mathbb R(a)=\mathbb C$?

Multiplying complex numbers

Convergence of $a_n = (1+i)^n+(1-i)^n$

Determine the set of points $M$ of affix of $z\in\mathbb{C}$

proving $zw+\frac{16}{zw}=-8\cos(\theta+\beta)$

Inequality which involves complex numbers and absolute values

Prove $|\cos^2(z)| + |\sin^2(z)| > 1$ for complex numbers $z$ with nonzero imaginary part

Determine the number of zeros for $4z^3-12z^2+2z+10$ in $\frac{1}{2}<|z-1|<2$.

Another way to prove that if n$^{th}$-degree polynomial $r(z)$ is zero at $n+1$ points in the plane, $r(z)\equiv 0$?

Finding $\tan \pi/8$ from $\sqrt{1+i}$.

Show that a non-constant entire function has a dense image.

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