Question

Let z != -1, which module is 1. Prove that z is presentable z = (1+ti)/(1-ti), where t is real number

score 398 · Answer 1 · 2026-04-16 03:01:39

398

Views

Let z != -1, which module is 1. Prove that z is presentable z = (1+ti)/(1-ti), where t is real number

Published on 16 Apr 2026 - 3:01

score 121 · Answer 2 · 2026-04-14 07:57:33

121

Views

Finding all the roots from a complex equation

Published on 14 Apr 2026 - 7:57

score 104 · Answer 3 · 2026-04-14 03:44:32

104

Views

Imaginary unit $i$ is not a limit of a real Cauchy sequence

Published on 14 Apr 2026 - 3:44

score 351 · Answer 4 · 2026-04-09 17:58:14

351

Views

De Moivre and trignometry question

Published on 09 Apr 2026 - 17:58

score 103 · Answer 5 · 2026-04-10 02:43:38

103

Views

A complex series with exponentials

Published on 10 Apr 2026 - 2:43

score 188 · Answer 6 · 2026-04-13 14:33:57

188

Views

An inequality on the real part of a square root

Published on 13 Apr 2026 - 14:33

score 483 · Answer 7 · 2026-04-09 23:32:36

483

Views

Proof using de Moivre's Theorem

Published on 09 Apr 2026 - 23:32

score 277 · Answer 8 · 2026-04-17 10:20:02

277

Views

Prove that there exists an analytic function $f : D → D$ such that $f(1/2) = f(−1/2)$

Published on 17 Apr 2026 - 10:20

score 102 · Answer 9 · 2026-04-16 11:17:34

102

Views

Let $f$ be a polynomial such that $|f(z)| ≤ 1 − |z|^2 + |z|^{1000}$ for all $z ∈ C.$ Prove that $|f(0)| ≤ 0.2.$

Published on 16 Apr 2026 - 11:17

score 1k · Answer 10 · 2026-04-14 03:54:35

1k

Views

Is $e^{i\pi}+1=0$ all it's cracked up to be?

Published on 14 Apr 2026 - 3:54

score 139 · Answer 11 · 2026-04-15 08:25:30

139

Views

Solve $(\frac{z+1}{z})^5 =1$ using fifth roots of unity

Published on 15 Apr 2026 - 8:25

score 2.8k · Answer 12 · 2026-04-15 16:31:44

2.8k

Views

Find the real and imaginary parts of $\sin(\frac{\pi}{2}+i\ln2)$

Published on 15 Apr 2026 - 16:31

score 582 · Answer 13 · 2026-04-15 00:38:28

582

Views

Sketching a set of complex numbers and deducing the value of $|z +1 - i|$ for such numbers

Published on 15 Apr 2026 - 0:38

score 11.5k · Answer 14 · 2026-04-16 06:43:59

11.5k

Views

$e^{i\theta}$ $=$ $\cos \theta + i \sin \theta$, a definition or theorem?

Published on 16 Apr 2026 - 6:43

score 79 · Answer 15 · 2026-04-10 22:59:34

79

Views

Is this function familiar to anyone?

Published on 10 Apr 2026 - 22:59

List Question

Let z != -1, which module is 1. Prove that z is presentable z = (1+ti)/(1-ti), where t is real number

Finding all the roots from a complex equation

Imaginary unit $i$ is not a limit of a real Cauchy sequence

De Moivre and trignometry question

A complex series with exponentials

An inequality on the real part of a square root

Proof using de Moivre's Theorem

Prove that there exists an analytic function $f : D → D$ such that $f(1/2) = f(−1/2)$

Let $f$ be a polynomial such that $|f(z)| ≤ 1 − |z|^2 + |z|^{1000}$ for all $z ∈ C.$ Prove that $|f(0)| ≤ 0.2.$

Is $e^{i\pi}+1=0$ all it's cracked up to be?

Solve $(\frac{z+1}{z})^5 =1$ using fifth roots of unity

Find the real and imaginary parts of $\sin(\frac{\pi}{2}+i\ln2)$

Sketching a set of complex numbers and deducing the value of $|z +1 - i|$ for such numbers

$e^{i\theta}$ $=$ $\cos \theta + i \sin \theta$, a definition or theorem?

Is this function familiar to anyone?

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