thanks for the replies guys,i searched around the forum a bit to get my answers i found most of them,what i was worried about is unemployment after graduate school after reading a bit i kind of understand the situation better
I understand that jobs arent in a neat package that's not a big deal for me if u need to learn things outside university then i would.What iam worried about is employment.Different jobs have different employment rates,many ppl want to be philosophers but there are rooms for few,thats what i...
Am i making a bad decision??
Ok so i have been studying mechatroincs for around a year and a half and now after i know more about the subject it isn't as interesting as before.
My problem is that i want to study and hopefully work in an area that iam passionate about and its kind of a big...
and i don't understand how proving if f is the composition of two swaps, then either f=I or f(k)≠k would prove that the number of swaps must be even for I(n)
i understand its either that the two swaps are the same (12)(12),(13)(13),(23)(23) so f=I
or they are different (12)(23) in this case...
thnx fredrik for the reply..
i have though about it again before i read ur reply and it seems i proved without the need for induction iam still having trouble using induction as a proof method sadly :(
anyways i though for n=2 there are 2 numbers that the Identity permutation should fix or...
iam currently studying undergraduate abstract algebra and i have reached to the permutation group topic i understand every thing till now but iam having trouble understanding the proof of
"IF the identity permutation I of {1,2...n} is represented by m transpositions then m is even"
I...