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A problem on modulus of complex numbers

score 99 · Answer 1 · 2026-04-11 08:30:16

99

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A problem on modulus of complex numbers

Published on 11 Apr 2026 - 8:30

score 1k · Answer 2 · 2026-04-23 02:58:58

1k

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Intersection of a Plane with the Riemann Sphere

Published on 23 Apr 2026 - 2:58

score 7.4k · Answer 3 · 2026-04-11 08:46:44

7.4k

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Solving a complex equation z^6 =- i

Published on 11 Apr 2026 - 8:46

score 214 · Answer 4 · 2026-04-15 13:13:33

214

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What type of numbers are roots of $x^{2} = -1$ themselves?

Published on 15 Apr 2026 - 13:13

score 86 · Answer 5 · 2026-04-09 20:42:26

86

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Find the real parts of a complex number equation

Published on 09 Apr 2026 - 20:42

score 1.3k · Answer 6 · 2026-04-11 04:49:43

1.3k

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Complex number (square) root notation.

Published on 11 Apr 2026 - 4:49

score 298 · Answer 7 · 2026-04-14 12:26:11

298

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Lengthy Product of trigonometric ratios

Published on 14 Apr 2026 - 12:26

score 9.8k · Answer 8 · 2026-04-12 03:29:24

9.8k

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Can I conjugate a complex number : $\sqrt{a+ib}$?

Published on 12 Apr 2026 - 3:29

score 1.8k · Answer 9 · 2026-04-15 16:38:36

1.8k

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Verify that $\sqrt{2}\left\| z \right\| \ge \left|\Re(z)\right| + \left|\Im(z)\right|$

Published on 15 Apr 2026 - 16:38

score 71 · Answer 10 · 2026-04-13 01:55:04

71

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Sum of two trig function's identity

Published on 13 Apr 2026 - 1:55

score 32 · Answer 11 · 2026-04-08 17:38:40

32

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Sketching points given by complex numbers

Published on 08 Apr 2026 - 17:38

score 287 · Answer 12 · 2026-04-10 10:15:48

287

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How to prove property of complex powers

Published on 10 Apr 2026 - 10:15

score 82 · Answer 13 · 2026-04-14 00:29:49

82

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Prove that every complex number is in the range of the entire function $e^{3z} + e^{2z}.$

Published on 14 Apr 2026 - 0:29

score 69 · Answer 14 · 2026-04-14 12:17:26

69

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Finding $\large\zeta_7\left(\zeta_3\right)^5$ where $\large\zeta_n=\cos{\frac{2\pi}{n}}+i\sin{\frac{2\pi}{n}}$

Published on 14 Apr 2026 - 12:17

score 126 · Answer 15 · 2026-04-17 11:14:57

126

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Suppose that $a_0 >a_1 >...>a_{2013} >0.$ Prove that $\sum_{n = 0}^{2013}a_nz^n \neq 0$ when $|z|<1$

Published on 17 Apr 2026 - 11:14

List Question

A problem on modulus of complex numbers

Intersection of a Plane with the Riemann Sphere

Solving a complex equation z^6 =- i

What type of numbers are roots of $x^{2} = -1$ themselves?

Find the real parts of a complex number equation

Complex number (square) root notation.

Lengthy Product of trigonometric ratios

Can I conjugate a complex number : $\sqrt{a+ib}$?

Verify that $\sqrt{2}\left\| z \right\| \ge \left|\Re(z)\right| + \left|\Im(z)\right|$

Sum of two trig function's identity

Sketching points given by complex numbers

How to prove property of complex powers

Prove that every complex number is in the range of the entire function $e^{3z} + e^{2z}.$

Finding $\large\zeta_7\left(\zeta_3\right)^5$ where $\large\zeta_n=\cos{\frac{2\pi}{n}}+i\sin{\frac{2\pi}{n}}$

Suppose that $a_0 >a_1 >...>a_{2013} >0.$ Prove that $\sum_{n = 0}^{2013}a_nz^n \neq 0$ when $|z|<1$

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