Question

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

score 183 · Answer 1 · 2014-07-24 17:09:29

183

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

Published on 24 Jul 2014 - 17:09

score 154 · Answer 2 · 2014-07-25 16:24:12

154

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

Published on 25 Jul 2014 - 16:24

score 2.4k · Answer 3 · 2026-03-22 10:43:14

2.4k

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

Published on 22 Mar 2026 - 10:43

score 172 · Answer 4 · 2014-08-04 16:57:35

172

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integration with 4 branch point

Published on 04 Aug 2014 - 16:57

score 222 · Answer 5 · 2014-08-14 14:01:38

222

Views

Non probabilistic algorithm for min-cut problem?

Published on 14 Aug 2014 - 14:01

score 149 · Answer 6 · 2014-08-18 22:37:02

149

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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 18 Aug 2014 - 22:37

score 702 · Answer 7 · 2014-08-27 12:12:35

702

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

Published on 27 Aug 2014 - 12:12

score 2.7k · Answer 8 · 2014-09-08 16:53:54

2.7k

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Problem identifying branch cuts of a square root function

Published on 08 Sep 2014 - 16:53

score 3.7k · Answer 9 · 2014-09-09 14:42:18

3.7k

Views

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

Published on 09 Sep 2014 - 14:42

score 273 · Answer 10 · 2014-09-23 21:04:11

273

Views

Branch of multiple-valued function (complex analysis)

Published on 23 Sep 2014 - 21:04

score 2k · Answer 11 · 2026-03-22 00:03:34

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 22 Mar 2026 - 0:03

score 1.4k · Answer 12 · 2014-10-08 18:20:18

1.4k

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

Published on 08 Oct 2014 - 18:20

score 38.7k · Answer 13 · 2026-03-24 23:44:13

38.7k

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how to find the branch points and cut

Published on 24 Mar 2026 - 23:44

score 2.4k · Answer 14 · 2026-03-24 23:45:17

2.4k

Views

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

Published on 24 Mar 2026 - 23:45

score 2k · Answer 15 · 2026-03-24 23:46:01

2k

Views

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

Published on 24 Mar 2026 - 23:46

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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