Question

Finding the fundamental group of a subspace of $\mathbb{R}^4$

score 243 · Answer 1 · 2019-03-30 16:01:36

243

Views

Finding the fundamental group of a subspace of $\mathbb{R}^4$

Published on 30 Mar 2019 - 16:01

score 181 · Answer 2 · 2019-03-31 01:08:55

181

Views

Why is $H = \left\{ \left(\begin{array}{rl} z_1&z_2\\ -\bar z_2&\bar z_1 \end{array}\right) \bigg\vert \ z_1, z_2 \in \mathbb C \right\}$ closed?

Published on 31 Mar 2019 - 1:08

score 271 · Answer 3 · 2019-03-31 02:20:45

271

Views

Simplify $y = \frac{1-2\exp(-x)\cos(x)+\exp(-2x)}{1+2\exp(-x)\sin(x)-\exp(-2x)}$

Published on 31 Mar 2019 - 2:20

score 621 · Answer 4 · 2026-03-29 05:10:38

621

Views

the triangle cosine relation in a complex plane

Published on 29 Mar 2026 - 5:10

score 97 · Answer 5 · 2026-03-26 09:51:23

97

Views

If $a$ is an $n$-th root of $z$ , $b$ is an $n$-th root of $w$, and $c$ is an $n$-th root of $zw$, then $ab=c$.

Published on 26 Mar 2026 - 9:51

score 131 · Answer 6 · 2019-04-02 00:45:51

131

Views

Show $\sin(z)=w$ can be solved $\forall w\in\Bbb C$

Published on 02 Apr 2019 - 0:45

score 40 · Answer 7 · 2026-03-28 00:27:35

40

Views

Convergent sequence of points

Published on 28 Mar 2026 - 0:27

score 1.4k · Answer 8 · 2026-03-27 01:47:40

1.4k

Views

Finding values for K such that the roots of the quadratic are strictly imaginary: $x^2+\left(K^2+3K-7\right)x+K$

Published on 27 Mar 2026 - 1:47

score 41 · Answer 9 · 2026-03-29 05:11:08

41

Views

angles in complex plane

Published on 29 Mar 2026 - 5:11

score 106 · Answer 10 · 2026-04-02 14:39:37

106

Views

Nice way of showing the locus of $\left|z-\frac{1}{z}\right| = 2$ is the union of 2 intersecting circles.

Published on 02 Apr 2026 - 14:39

score 2.2k · Answer 11 · 2019-04-03 23:04:29

2.2k

Views

finding singular points of a complex function

Published on 03 Apr 2019 - 23:04

score 70 · Answer 12 · 2019-04-04 08:37:01

70

Views

complex numbers: $i^i $ vs $\pi $: which is larger?

Published on 04 Apr 2019 - 8:37

score 56 · Answer 13 · 2026-03-31 21:10:35

56

Views

Ortbit of $\pi$ under the action of $\operatorname{Aut} \mathbb C $

Published on 31 Mar 2026 - 21:10

score 641 · Answer 14 · 2019-04-04 13:07:38

641

Views

What is the easiest way to get: $2+ \sqrt{-121} = (2+ \sqrt{-1})^3$

Published on 04 Apr 2019 - 13:07

score 96 · Answer 15 · 2026-03-26 01:07:40

96

Views

Complex sum of sine and cosine function

Published on 26 Mar 2026 - 1:07

List Question

Finding the fundamental group of a subspace of $\mathbb{R}^4$

Why is $H = \left\{ \left(\begin{array}{rl} z_1&z_2\\ -\bar z_2&\bar z_1 \end{array}\right) \bigg\vert \ z_1, z_2 \in \mathbb C \right\}$ closed?

Simplify $y = \frac{1-2\exp(-x)\cos(x)+\exp(-2x)}{1+2\exp(-x)\sin(x)-\exp(-2x)}$

the triangle cosine relation in a complex plane

If $a$ is an $n$-th root of $z$ , $b$ is an $n$-th root of $w$, and $c$ is an $n$-th root of $zw$, then $ab=c$.

Show $\sin(z)=w$ can be solved $\forall w\in\Bbb C$

Convergent sequence of points

Finding values for K such that the roots of the quadratic are strictly imaginary: $x^2+\left(K^2+3K-7\right)x+K$

angles in complex plane

Nice way of showing the locus of $\left|z-\frac{1}{z}\right| = 2$ is the union of 2 intersecting circles.

finding singular points of a complex function

complex numbers: $i^i $ vs $\pi $: which is larger?

Ortbit of $\pi$ under the action of $\operatorname{Aut} \mathbb C $

What is the easiest way to get: $2+ \sqrt{-121} = (2+ \sqrt{-1})^3$

Complex sum of sine and cosine function

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