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The imaginary tetration unit? ssroot of -1 - Printable Version

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The imaginary tetration unit? ssroot of -1 - JmsNxn - 07/15/2011

I was just wondering if anywhere anyone ever looked up a number such that , or ?

Is there a representation of using complex numbers?

I tried to work it out with the lambert W function but I'm not too good with it.



I guess technically, there could be a different omega that is defined by:
and so on and so forth for all the possible values given by the multivalued nature of the logarithm.

I'm wondering what the principal value is, the one I first asked for.


RE: The imaginary tetration unit? ssroot of -1 - bo198214 - 07/15/2011

(07/15/2011, 02:36 AM)JmsNxn Wrote: I was just wondering if anywhere anyone ever looked up a number such that ?

? Wink


RE: The imaginary tetration unit? ssroot of -1 - JmsNxn - 07/15/2011

(07/15/2011, 07:29 AM)bo198214 Wrote:
(07/15/2011, 02:36 AM)JmsNxn Wrote: I was just wondering if anywhere anyone ever looked up a number such that ?

? Wink

Ohhhhh my god! How did I miss that!?

I guess this kind of makes the square root of negative one more unique in my eyes.


however, there's still