List questions from complex-numbers

Published on 16 Apr 2018 - 16:04

51

Views

If $|z| = 1, z \in \mathbb{C}$, what can you say about the real and imaginary parts of $z^i$

Published on 16 Apr 2018 - 16:44

1.3k

Views

Finding the Cartesian equation of a half line of form arg(z - a - bi) = π/2

Published on 16 Apr 2018 - 18:06

293

Views

Is there a difference in defining $-1$ as $e^{-i\pi}$ or $e^{i\pi}$?

Published on 25 Mar 2026 - 15:49

414

Views

Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.

Published on 25 Mar 2026 - 11:06

401

Views

What is the infinite root of i?

Published on 17 Apr 2018 - 13:07

44

Views

Set of elements yielding Reals when squared

Published on 17 Apr 2018 - 21:33

354

Views

Difficulty showing the general solution of $Y^{\prime} = AY$ is what is given.

Published on 18 Apr 2018 - 0:26

705

Views

Complex Analysis - Open and closed balls in the complexes.

Published on 18 Apr 2018 - 2:27

52

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Complex isolated singularities

Published on 24 Mar 2026 - 22:09

50

Views

Struggling with a Complex equation

Published on 24 Mar 2026 - 22:06

61

Views

Why this :$ \lim_{n\to \infty } n (\frac{1+i}{2})^n=0$?

Published on 18 Apr 2018 - 21:51

152

Views

Getting Trig Answers

Published on 25 Mar 2026 - 6:17

1.4k

Views

how to compute Z^n?

Published on 25 Mar 2026 - 9:48

443

Views

Find the circumcentre of a triangle with points $z_1,z_2$ and the origin as its vertices where $z_1,z_2 \in \mathbb{C}$

Published on 25 Mar 2026 - 19:32

List Question

Calculate: $\arg(i)+\arg(-1)$

If $|z| = 1, z \in \mathbb{C}$, what can you say about the real and imaginary parts of $z^i$

Finding the Cartesian equation of a half line of form arg(z - a - bi) = π/2

Is there a difference in defining $-1$ as $e^{-i\pi}$ or $e^{i\pi}$?

Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.

What is the infinite root of i?

Set of elements yielding Reals when squared

Difficulty showing the general solution of $Y^{\prime} = AY$ is what is given.

Complex Analysis - Open and closed balls in the complexes.

Complex isolated singularities

Struggling with a Complex equation

Why this :$ \lim_{n\to \infty } n (\frac{1+i}{2})^n=0$?

Getting Trig Answers

how to compute Z^n?

Find the circumcentre of a triangle with points $z_1,z_2$ and the origin as its vertices where $z_1,z_2 \in \mathbb{C}$

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