Q) What is iota raised to the power iota? (i = sqrt(-1) )
A)
cos@ + i.sin@ = e^(i.@)
if we take @ = pi/2:
i = e^(i.pi*/2)
Raise both sides to exponent i:
i^i = e^ (i.pi/2 . i)
i^i = e^(-pi/2)
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Compilation of various questions in Mathematics and Physics I previously solved on GoIIT. For what I'm working on now, see www.profillic.com
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- I'm Gaurav and I'm building AI for smarter technical hiring (www.profillic.com). I've been living the Silicon Valley life for some years now, I'm originally from New Delhi and now I live in New York. https://www.linkedin.com/in/gauravragtah
These are some of my top voted answers to questions from GoIIT.com on topics in Mathematics and Physics. (my profile - http://www.goiit.com/user/profile/1713.htm)
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6 comments:
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I wоuld by nο mеans understand.
It seems too complicаtеd and vеry largе for me.
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good job
cos@ + i.sin@ = e^(i.@) where does this come from???????
Euler's formula: https://www.wikiwand.com/en/Euler's_formula
Euler form to represent a complex number. Basically here r=1 and e^(i.@) represent argument
Is the answer is Real No. or Complex.
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