Question

Constructing Branch Cuts for $\sqrt{z}$ Not on the Negative Real Axis

score 186 · Answer 1 · 2026-04-13 15:05:01

186

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Constructing Branch Cuts for $\sqrt{z}$ Not on the Negative Real Axis

Published on 13 Apr 2026 - 15:05

score 156 · Answer 2 · 2026-04-14 13:37:41

156

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Integrating $ \int^1_0 dx \frac{\ln(x-a)}{x-b} $, paying attention to cuts.

Published on 14 Apr 2026 - 13:37

score 2.4k · Answer 3 · 2026-05-10 15:13:07

2.4k

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Are multi-valued functions a rigorous concept or simply a conversational shorthand?

Published on 10 May 2026 - 15:13

score 175 · Answer 4 · 2026-04-12 12:33:55

175

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integration with 4 branch point

Published on 12 Apr 2026 - 12:33

score 226 · Answer 5 · 2026-05-10 23:50:02

226

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Non probabilistic algorithm for min-cut problem?

Published on 10 May 2026 - 23:50

score 152 · Answer 6 · 2026-04-17 12:54:55

152

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$\int_{|z| = 2} \frac{1}{f(z)(1+f(z))^2} dz$ where $f(z) = z^{1/2}$ with branch such that $\Re f(z) \geq 0$

Published on 17 Apr 2026 - 12:54

score 705 · Answer 7 · 2026-04-17 02:39:13

705

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Contour Integral $ \int_{0}^1 \frac{\ln{x}}{\sqrt{1-x^2}} \mathrm dx$

Published on 17 Apr 2026 - 2:39

score 2.7k · Answer 8 · 2026-04-12 11:38:21

2.7k

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Problem identifying branch cuts of a square root function

Published on 12 Apr 2026 - 11:38

score 3.7k · Answer 9 · 2026-04-09 00:32:10

3.7k

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Understanding branch cuts by manually choosing the branch cuts of a function

Published on 09 Apr 2026 - 0:32

score 276 · Answer 10 · 2026-04-10 09:41:30

276

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Branch of multiple-valued function (complex analysis)

Published on 10 Apr 2026 - 9:41

score 2k · Answer 11 · 2026-05-10 15:14:14

2k

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How do we define the branch cuts for $\sin^{-1}z = \frac{1}{i} \log(\sqrt{1-z^2} + iz)$ as $(-\infty,-1)$ and $(1,\infty)$?

Published on 10 May 2026 - 15:14

score 1.4k · Answer 12 · 2026-04-13 19:41:21

1.4k

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Derive branch cuts for $\log(\sqrt{1-z^2} + iz)$ as $(-\infty,-1)$ and $(1,\infty)$?

Published on 13 Apr 2026 - 19:41

score 38.7k · Answer 13 · 2026-05-10 15:09:00

38.7k

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how to find the branch points and cut

Published on 10 May 2026 - 15:09

score 2.4k · Answer 14 · 2026-05-10 15:09:12

2.4k

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Branches of $\log(z)$ on $\mathbb{C}\backslash(-\infty,0]$?

Published on 10 May 2026 - 15:09

score 2k · Answer 15 · 2026-05-10 15:09:49

2k

Views

A branch of $\tanh^{-1}z$?

Published on 10 May 2026 - 15:09

List Question

Constructing Branch Cuts for $\sqrt{z}$ Not on the Negative Real Axis

Integrating $ \int^1_0 dx \frac{\ln(x-a)}{x-b} $, paying attention to cuts.

Are multi-valued functions a rigorous concept or simply a conversational shorthand?

integration with 4 branch point

Non probabilistic algorithm for min-cut problem?

$\int_{|z| = 2} \frac{1}{f(z)(1+f(z))^2} dz$ where $f(z) = z^{1/2}$ with branch such that $\Re f(z) \geq 0$

Contour Integral $ \int_{0}^1 \frac{\ln{x}}{\sqrt{1-x^2}} \mathrm dx$

Problem identifying branch cuts of a square root function

Understanding branch cuts by manually choosing the branch cuts of a function

Branch of multiple-valued function (complex analysis)

How do we define the branch cuts for $\sin^{-1}z = \frac{1}{i} \log(\sqrt{1-z^2} + iz)$ as $(-\infty,-1)$ and $(1,\infty)$?

Derive branch cuts for $\log(\sqrt{1-z^2} + iz)$ as $(-\infty,-1)$ and $(1,\infty)$?

how to find the branch points and cut

Branches of $\log(z)$ on $\mathbb{C}\backslash(-\infty,0]$?

A branch of $\tanh^{-1}z$?

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