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InertialObservr's profile
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
@InertialObservr

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〈 Berger | Dillon 〉

@InertialObservr

PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …

DC → CA
youtube.com/c/InertialObse…
Joined August 2015

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    1. eylem gercek boss‏ @_eylem_99 29 Jul 2019
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      Replying to @InertialObservr

      Hmmmm 🤔 Not quite sure about that radical being used with imaginaries 🤷‍♂️

      1 reply 0 retweets 0 likes
    2. إبراهيم العليان‏ @ialolyan 29 Jul 2019
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      Replying to @_eylem_99 @InertialObservr

      I agree.

      1 reply 0 retweets 2 likes
    3. 〈 Berger | Dillon 〉‏ @InertialObservr 29 Jul 2019
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      Replying to @ialolyan @_eylem_99

      it's just notation.. it's extremely common in complex analysis to have √z denote the value of z^(1/2) in the principal branch

      1 reply 0 retweets 0 likes
    4. eylem gercek boss‏ @_eylem_99 29 Jul 2019
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      Replying to @InertialObservr @ialolyan

      As far as I remember z has two sqrts with 180 degree apart. When you use radicals, does it mean both or either one?

      1 reply 0 retweets 0 likes
    5. 〈 Berger | Dillon 〉‏ @InertialObservr 29 Jul 2019
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      Replying to @_eylem_99 @ialolyan

      it just denotes the same thing as z^(1/2) would

      1 reply 0 retweets 0 likes
    6. إبراهيم العليان‏ @ialolyan 30 Jul 2019
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      Replying to @InertialObservr @_eylem_99

      In complex functions we never use the radical sign, It is used only for real valued. As far as I know there is no √z in complex functions.

      1 reply 1 retweet 1 like
    7. eylem gercek boss‏ @_eylem_99 30 Jul 2019
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      Replying to @ialolyan @InertialObservr

      I believe this is kind of short cut in some regions

      1 reply 0 retweets 0 likes
    8. إبراهيم العليان‏ @ialolyan 30 Jul 2019
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      Replying to @_eylem_99 @InertialObservr

      I looked over several books and have not seen the radical sign as a complex function because it is reserved for real values.

      1 reply 0 retweets 1 like
    9. 〈 Berger | Dillon 〉‏ @InertialObservr 30 Jul 2019
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      Replying to @ialolyan @_eylem_99

      https://en.wikipedia.org/wiki/Square_root …

      1 reply 0 retweets 0 likes
    10. إبراهيم العليان‏ @ialolyan 30 Jul 2019
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      Replying to @InertialObservr @_eylem_99

      Thank you for sharing this information, Even though, Wikipedia is not a reference. If it appears in complex analysis books, I would appreciate if It can be shared.

      2 replies 0 retweets 0 likes
      〈 Berger | Dillon 〉‏ @InertialObservr 30 Jul 2019
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      Replying to @ialolyan @_eylem_99

      Highly acclaimed: Eberhard Freitag, Rolf Busam - Complex Analysis-Springer (2005) pg 349pic.twitter.com/BbZzrXjGag

      11:55 AM - 30 Jul 2019
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      • 〈 Berger | Dillon 〉
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        1. eylem gercek boss‏ @_eylem_99 30 Jul 2019
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          Replying to @InertialObservr @ialolyan

          Last time I looked at a Complex analysis book is about 19 years ago. So there are three possibilities: 1. I do not remember 2. It emerges recently 3. There is no widely accepted convention of the square root function over complex numbers. Ps: I am totally open for new ideas 👍

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