/sci/ - Science & Math » Thread #10313128

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is ln(0) an essential singularity?

Anonymous Sun 20 Jan 21:42:59 2019 No.10313128 View Reply Original Report

Quoted By: >>10313143 >>10313266 >>10313311 >>10313816 >>10313991

Anonymous

Anonymous Sun 20 Jan 2019 21:49:22 No.10313143 Report

Quoted By: >>10313259

>>10313128
just change your coordinate system to >>>/b/

Anonymous

Anonymous Sun 20 Jan 2019 22:30:07 No.10313259 Report

Quoted By:

>>10313143
???

Anonymous

Anonymous Sun 20 Jan 2019 22:32:16 No.10313266 Report

Quoted By: >>10313305

>>10313128
no, essential singularities are isolated. 0 is not an isolated singularity of log.

Anonymous

Anonymous Sun 20 Jan 2019 22:40:08 No.10313305 Report

Quoted By: >>10313330

>>10313266
are there any then?

Anonymous

Anonymous Sun 20 Jan 2019 22:41:17 No.10313311 Report

Quoted By:

>>10313128
I don't know if the terminology for essential/removable singularities applies to branch points.

Anonymous

Anonymous Sun 20 Jan 2019 22:45:22 No.10313330 Report

Quoted By:

>>10313305
log does not have any isolated singularities, it is analytic on C minus some ray from 0 depending on your branch cut, and it is not analytically extendable to any point on that ray. you will never get an isolated singularity.

Anonymous

Anonymous Mon 21 Jan 2019 01:33:22 No.10313816 Report

Quoted By:

>>10313128
It's a logarithmic singularity.

Anonymous

Anonymous Mon 21 Jan 2019 03:24:43 No.10313991 Report

Quoted By:

>>10313128
sigh. why are brainlets aloud to post here?
https://en.wikipedia.org/wiki/Branch_point

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