Question
1 hour's good by my standards for that length. It took me 25 minutes to type up a solution to the fourth roots of unity (about 4 lines of working). I've quit latex now...5 minutes to work out. 1 hour to type up. 30 minutes to post. I need to get better at latex.
Haha yeah latex takes a bit to get used too...1 hour's good by my standards for that length. It took me 25 minutes to type up a solution to the fourth roots of unity (about 4 lines of working). I've quit latex now...
Dude how did you do the first part of the question?
5 minutes to work out. 1 hour to type up. 30 minutes to post. I need to get better at latex.
As w is the nth root of unity of z^n = 1, 1 + w + w^2 + ... + w^(n - 1) = 0Dude how did you do the first part of the question?
Lol you are way too obsessed with complex analysis
Who isn't?Lol you are way too obsessed with complex analysis
A couple of typos.Here's a bit of a fun question. It really shows how slowly the Harmonic Series diverges and how it can be modelled by the natural logarithmic function for large values of n.
Ah okay cool, the phrase "need k=blah" is somewhat misleading then.i) My fault for getting the letters mixed up. Thank you for pointing that out.
ii) The top limit should have said 'k' and it should have read 'Partial sum of Harmonic Series'
iii) I think Microsoft Word didn't recognise my floor function from Mathtype so it didn't come out.
It is most surely not the least such n but it is an approximation for the magnitude of k required for such a sum to exist.
If we were to use , then the partial sum would fail to be above 9000.
Couldn't think of a better way to express it. Any ideas?Ah okay cool, the phrase "need k=blah" is somewhat misleading then.
Couldn't think of a better way to express it. Any ideas?