Question

Sum of two infinite complex geometric sums

score 569 · Answer 1 · 2018-11-15 11:14:37

569

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Sum of two infinite complex geometric sums

Published on 15 Nov 2018 - 11:14

score 65 · Answer 2 · 2026-03-28 20:14:24

65

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If $D = \{1 + bi\mid b \in\Bbb R\}$ and $f(z) = e^z$, calculate $f(D)$ and describe the image set.

Published on 28 Mar 2026 - 20:14

score 69 · Answer 3 · 2018-11-15 16:55:32

69

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Determine the complex number Z that satisfy $|z-3-3i|=1$ and that has maximum absolute value

Published on 15 Nov 2018 - 16:55

score 150 · Answer 4 · 2026-03-24 22:15:44

150

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Branch cut for $\sqrt{z^2-a^2}$ in the lower half of the complex plane (instead of $[-a,a]$) - How does this change the function?

Published on 24 Mar 2026 - 22:15

score 70 · Answer 5 · 2018-11-15 18:10:27

70

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Prove that a sequence has no limit

Published on 15 Nov 2018 - 18:10

score 248 · Answer 6 · 2026-03-26 06:27:51

248

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Find the limit of complex number exponentiation

Published on 26 Mar 2026 - 6:27

score 42 · Answer 7 · 2018-11-15 19:30:16

42

Views

Complex numbers, simple equation

Published on 15 Nov 2018 - 19:30

score 85 · Answer 8 · 2018-11-15 20:24:10

85

Views

Hello, this showed up on my math test and it has everybody confused, could someone solve it ? |z-1|>|z-i|

Published on 15 Nov 2018 - 20:24

score 290 · Answer 9 · 2026-03-25 11:03:13

290

Views

What is the geometrical significance of a complex-valued singular value decomposition?

Published on 25 Mar 2026 - 11:03

score 692 · Answer 10 · 2026-03-25 10:42:31

692

Views

Solving $8x^3 - 6x + 1$ using Cardano's method

Published on 25 Mar 2026 - 10:42

score 37 · Answer 11 · 2018-11-16 08:18:50

37

Views

Exponentiation with complex numbers

Published on 16 Nov 2018 - 8:18

score 87 · Answer 12 · 2026-03-26 06:26:23

87

Views

Complex numbers, finding smallest exponent

Published on 26 Mar 2026 - 6:26

score 81 · Answer 13 · 2018-11-16 12:32:35

81

Views

Finding minimum value of the equation given.

Published on 16 Nov 2018 - 12:32

score 739 · Answer 14 · 2018-11-16 12:54:42

If z be any complex number and if $z^2 + az + b = 0$ has two roots both of which has unit modulus, then prove that $|a| \leq 2$, and $|b| = 1$

score 112 · Answer 15 · 2026-03-25 06:04:44

112

Views

Are antilinear forms part of the tensor algebra of a $\mathbb{C}$-vector field?

Published on 25 Mar 2026 - 6:04

List Question

Sum of two infinite complex geometric sums

If $D = \{1 + bi\mid b \in\Bbb R\}$ and $f(z) = e^z$, calculate $f(D)$ and describe the image set.

Determine the complex number Z that satisfy $|z-3-3i|=1$ and that has maximum absolute value

Branch cut for $\sqrt{z^2-a^2}$ in the lower half of the complex plane (instead of $[-a,a]$) - How does this change the function?

Prove that a sequence has no limit

Find the limit of complex number exponentiation

Complex numbers, simple equation

Hello, this showed up on my math test and it has everybody confused, could someone solve it ? |z-1|>|z-i|

What is the geometrical significance of a complex-valued singular value decomposition?

Solving $8x^3 - 6x + 1$ using Cardano's method

Exponentiation with complex numbers

Complex numbers, finding smallest exponent

Finding minimum value of the equation given.

If z be any complex number and if $z^2 + az + b = 0$ has two roots both of which has unit modulus, then prove that $|a| \leq 2$, and $|b| = 1$

Are antilinear forms part of the tensor algebra of a $\mathbb{C}$-vector field?

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