Question

Does Jensen's Inequality hold for complex numbers?

score 458 · Answer 1 · 2026-03-25 01:34:03

458

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Does Jensen's Inequality hold for complex numbers?

Published on 25 Mar 2026 - 1:34

score 263 · Answer 2 · 2018-07-28 15:24:55

263

Views

Real eigenvalues of a matrix over a field of Complex Numbers

Published on 28 Jul 2018 - 15:24

score 3.5k · Answer 3 · 2018-07-28 18:40:37

3.5k

Views

Show that two lines are perpendicular in the complex plane.

Published on 28 Jul 2018 - 18:40

score 99 · Answer 4 · 2026-03-25 05:59:49

99

Views

What identities collapse number systems?

Published on 25 Mar 2026 - 5:59

score 110 · Answer 5 · 2018-07-29 07:22:34

110

Views

Image of the domain $|z|<1$, $0<\text{Arg}\,z<\pi/4$ under the mappimg $w=(2z+1)/(z+i)$

Published on 29 Jul 2018 - 7:22

score 803 · Answer 6 · 2026-03-27 19:53:14

803

Views

Discussing $\frac{d}{d\theta}e^{i\theta}$ aka cis before complex derivatives and complex exponential

Published on 27 Mar 2026 - 19:53

score 90 · Answer 7 · 2018-07-30 04:57:02

$[1+(\frac{1+i}{2})][1+(\frac{1+i}{2})^2][1+(\frac{1+i}{2})^{2^2}]...[1+(\frac{1+i}{2})^{2^n}]=(1-\frac{1}{2^{2^n}})(1+i)$,where $n\ge 2$

score 36 · Answer 8 · 2018-07-30 06:24:51

36

Views

Factorization of Polynomial with complex coefficients of the form $n^6-a$ into the form of $(n^2-a_1)(n^2-a_2)(n^2-a_3)$

Published on 30 Jul 2018 - 6:24

score 2.5k · Answer 9 · 2018-07-30 22:54:43

2.5k

Views

Conjugate of quotient is quotient of conjugates

Published on 30 Jul 2018 - 22:54

score 569 · Answer 10 · 2026-03-25 15:58:59

569

Views

Connecting points in an annulus with horizontal and vertical segments

Published on 25 Mar 2026 - 15:58

score 446 · Answer 11 · 2026-03-25 22:21:00

446

Views

$\arg(\overline{z}), \arg(z^2)$

Published on 25 Mar 2026 - 22:21

score 285 · Answer 12 · 2026-03-26 06:15:24

285

Views

Can complex vectors be orthogonal even if none of the components are?

Published on 26 Mar 2026 - 6:15

score 65 · Answer 13 · 2018-07-31 19:07:44

65

Views

Must $\langle x \mid x \rangle$ be real on a complex inner product space?

Published on 31 Jul 2018 - 19:07

score 609 · Answer 14 · 2018-08-01 05:50:59

609

Views

Does it make sense to write the complex plane as the cartesian product between $\mathbb{R}$ and $i\mathbb{R}$?

Published on 01 Aug 2018 - 5:50

score 315 · Answer 15 · 2026-03-30 20:47:26

315

Views

Transfer function graph versus polynomial function graph

Published on 30 Mar 2026 - 20:47

List Question

Does Jensen's Inequality hold for complex numbers?

Real eigenvalues of a matrix over a field of Complex Numbers

Show that two lines are perpendicular in the complex plane.

What identities collapse number systems?

Image of the domain $|z|<1$, $0<\text{Arg}\,z<\pi/4$ under the mappimg $w=(2z+1)/(z+i)$

Discussing $\frac{d}{d\theta}e^{i\theta}$ aka cis before complex derivatives and complex exponential

$[1+(\frac{1+i}{2})][1+(\frac{1+i}{2})^2][1+(\frac{1+i}{2})^{2^2}]...[1+(\frac{1+i}{2})^{2^n}]=(1-\frac{1}{2^{2^n}})(1+i)$,where $n\ge 2$

Factorization of Polynomial with complex coefficients of the form $n^6-a$ into the form of $(n^2-a_1)(n^2-a_2)(n^2-a_3)$

Conjugate of quotient is quotient of conjugates

Connecting points in an annulus with horizontal and vertical segments

$\arg(\overline{z}), \arg(z^2)$

Can complex vectors be orthogonal even if none of the components are?

Must $\langle x \mid x \rangle$ be real on a complex inner product space?

Does it make sense to write the complex plane as the cartesian product between $\mathbb{R}$ and $i\mathbb{R}$?

Transfer function graph versus polynomial function graph

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