Question

Smarter way of finding $\mathbb{E} \left[ \frac{\textbf{h}^{H} \textbf{y}\textbf{y}^{H} \textbf{h}}{ \| \textbf{y} \|^{4} } \right]$

score 100 · Answer 1 · 2026-04-14 13:14:56

100

Views

Smarter way of finding $\mathbb{E} \left[ \frac{\textbf{h}^{H} \textbf{y}\textbf{y}^{H} \textbf{h}}{ \| \textbf{y} \|^{4} } \right]$

Published on 14 Apr 2026 - 13:14

score 110 · Answer 2 · 2026-04-15 11:00:25

110

Views

Showing that $\left\{\sqrt{ \frac{2}{\pi} }\cos(2kx)\right\}_{k=1}^{\infty}$ is an incomplete system

Published on 15 Apr 2026 - 11:00

score 88 · Answer 3 · 2026-04-15 22:19:17

88

Views

$f$ and $|f|$ are analytic.

Published on 15 Apr 2026 - 22:19

score 379 · Answer 4 · 2026-04-12 20:17:48

379

Views

Is $z^{1/n}$ analytic?

Published on 12 Apr 2026 - 20:17

score 890 · Answer 5 · 2026-04-12 21:24:41

890

Views

Is $f(z)= z^2\bar{z}$ not differentiable anywhere?

Published on 12 Apr 2026 - 21:24

score 1.5k · Answer 6 · 2026-04-14 20:11:57

1.5k

Views

find the principal value of $\log(i^e) ?$

Published on 14 Apr 2026 - 20:11

score 1.5k · Answer 7 · 2026-04-11 19:40:56

1.5k

Views

Mapping a Disk under the complex exponential function (without using conformal mapping)

Published on 11 Apr 2026 - 19:40

score 105 · Answer 8 · 2026-04-15 21:46:08

105

Views

How to prove $\int_{-\infty}^\infty dx \frac{e^{ixz}}{x-i\epsilon} = 2\pi i \Theta(z)$

Published on 15 Apr 2026 - 21:46

score 270 · Answer 9 · 2026-04-14 23:17:55

270

Views

Product of $n$ differentiable functions is differentiable

Published on 14 Apr 2026 - 23:17

score 650 · Answer 10 · 2026-04-12 20:19:15

650

Views

Coding the complex exp, sin and cos function

Published on 12 Apr 2026 - 20:19

score 499 · Answer 11 · 2026-04-12 04:18:52

499

Views

Degree of Holomorphic Map between Complex Tori

Published on 12 Apr 2026 - 4:18

score 87 · Answer 12 · 2026-03-25 07:47:51

87

Views

Is there a more expeditious way to solve this contour integral?

Published on 25 Mar 2026 - 7:47

score 31 · Answer 13 · 2026-04-16 14:49:47

31

Views

Given $|f(z)|<|g(z)|$ on some domain and both are analytic, prove that f(z)/g(z) is analytic.

Published on 16 Apr 2026 - 14:49

score 21 · Answer 14 · 2026-03-25 06:11:21

21

Views

what will be the integral of the following complex function

Published on 25 Mar 2026 - 6:11

score 262 · Answer 15 · 2026-03-25 06:10:24

262

Views

Am I using Cauchy's integral formula correctly here?

Published on 25 Mar 2026 - 6:10

List Question

Smarter way of finding $\mathbb{E} \left[ \frac{\textbf{h}^{H} \textbf{y}\textbf{y}^{H} \textbf{h}}{ \| \textbf{y} \|^{4} } \right]$

Showing that $\left\{\sqrt{ \frac{2}{\pi} }\cos(2kx)\right\}_{k=1}^{\infty}$ is an incomplete system

$f$ and $|f|$ are analytic.

Is $z^{1/n}$ analytic?

Is $f(z)= z^2\bar{z}$ not differentiable anywhere?

find the principal value of $\log(i^e) ?$

Mapping a Disk under the complex exponential function (without using conformal mapping)

How to prove $\int_{-\infty}^\infty dx \frac{e^{ixz}}{x-i\epsilon} = 2\pi i \Theta(z)$

Product of $n$ differentiable functions is differentiable

Coding the complex exp, sin and cos function

Degree of Holomorphic Map between Complex Tori

Is there a more expeditious way to solve this contour integral?

Given $|f(z)|<|g(z)|$ on some domain and both are analytic, prove that f(z)/g(z) is analytic.

what will be the integral of the following complex function

Am I using Cauchy's integral formula correctly here?

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