I don't know if my guess is right... It seems to refer to the following fact:
The roots of the equation ( )are given by where is the unique (positive) real number satisfying and for some integer .
I assume this goes here
Been a long while since I posted a problem the difficulty level has probably gone up loads since last year xD (which happens if your forced to take 2 years of math in a week ) Anyway, I had theoretical math this morning and suddenly the professor started babbling something like...
is a root out of if
I had the basics of complex numbers taught at a very fast pace this summer, but I haven't seen roots of complex numbers... So I asked the professor if she could elaborate on the meanings of the various symbols that suddenly popped up and she wouldn't because I'm supposed to know basic math. So could anyone elaborate a bit on the meaning of ? As I can't find anything about them in my high school notes... Thanks ^^
then we can write:
where , and and .
Now we have is an th root of then:
and if is the polar representation of , and is the polar representation of then:
(there is nothing going on in what your teacher wrote on the board than writing the condition for a complex number to be an n-th root of another in polar form)