Hellooooooo fellow 4 uniter's (2 Viewers)

[b3kh1t]

Who reckons they know what is , yes that is i to the power of i

 

[hup]

umad?

 

[mirakon]

i do

 

[b3kh1t]

umad?

lol how when that will give you a real value hahaha

well Mirakon what you reckon??

 

[mirakon]

hup is correct, its a real value

about 0.207 is what e^(-pi/2) actually works out to

 

[b3kh1t]

how did you get it then

 

[K4M1N3]

Umm....
where n is a positive odd integer

 

[mirakon]

Umm....
where n is a positive odd integer

? if you have n=2 then it becomes e^(-pi) which I'm pretty sure is not equal to i^i (correct me if I am wrong)

 

[D94]

lol how when that will give you a real value hahaha

well Mirakon what you reckon??

Essentially, you need to know Euler's Identity to solve this.

e^(i.pi) + 1 = 0
e^(i.pi) = -1
e^(i.pi/2) = i (square root)
e^(-pi/2) = i^i (raise to the i; i*i = -1)

 

[K4M1N3]

? if you have n=2 then it becomes e^(-pi) which I'm pretty sure is not equal to i^i (correct me if I am wrong)

buddy learn to read, n has a restriction for odd integers only!

 

[b3kh1t]

Essentially, you need to know Euler's Identity to solve this.

e^(i.pi) + 1 = 0
e^(i.pi) = -1
e^(i.pi/2) = i (square root)
e^(-pi/2) = i^i (raise to the i; i*i = -1)

aiight but in the last line how did you get that

 

[seanieg89]

Using the standard definition of complex powers as multi-valued functions:



where n ranges over all integers.

 

[b3kh1t]

aiight where is all the working out??

 

[cheese_cheese]

Umm....
where n is a positive odd integer

This guy knows his complex numbers.

 

[K4M1N3]

This guy knows his complex numbers.

Do i detect sarcasm?

 

[seanieg89]

It is basically just the usual index laws combined with the fact that:

 

[b3kh1t]

It is basically just the usual index laws combined with the fact that:

aiight cool but where does the e come from or is this a rule??

 

[mirakon]

i do not think Euler's Identity is syllabus, but if you do a bit of extra-curricular maths you may know it

 

[cheese_cheese]

Do i detect sarcasm?

No, I was giving you a compliment.

 

[cheese_cheese]

i do not think Euler's Identity is syllabus, but if you do a bit of extra-curricular maths you may know it

You'd cover it in most first year algebra courses at uni. Don't think it is 4U though.