i think you were right. not differentiable is more stringent than no analytic anywhere... i think...
i understand the first one now. i just need something that once it's squared, it'll be outside the range of -pi to pi.
the second one is much easier than i thought ^_^
the third one i chose...
Yes! that's what i was thinking =) since there's only 1 then it can't have any points in the set other than 1, thus no accumulation points! i think I'm finally getting this... thanks everyone very very much!
so would the set of say, {1} work? i don't know if I'm understanding this correctly... if you have {1} then there would be no accumulation points right? since there's only 1 itself?
Thanks to both of you! I looked up the definition of accumulation point and it says:
A point z0 is said to be an accumulation point of a set S if each deleted neighborhood of z0 contains at least one point of S.
i'm not sure if i understand that. any ideas??
wow thank you!
i still have no idea how to do the accumulation one. i looked up the definition of accumulation point and it says:
A point z0 is said to be an accumulation point of a set S if each deleted neighborhood of z0 contains at least one point of S
i'm not sure if i understand...
need some urgent help with basic complex analysis (no proofs)
This forum is probably more appropriate. please forgive me for double posting.
Can someone give me examples of the following? (no proofs needed) (C is the complex set)
1. a non-zero complex number z such that Arg(z^2) is NOT...
need some urgent help with basic complex variables (no proofs)
Hi:
can someone give me examples of the following? (no proofs needed)
1. a non-zero complex number z such that Arg(z^2) "not equal to" 2 Arg z
2. a region in C which is not a domain
3. a non-empty subset of C which has no...
Wow you guys are soooo helpful! Soo much better than my book which really doesn't explain things very well and has very poor examples. I can't thank you guys enough!
I'm having a very tough time understanding homomorphisms and ideals, probably because I'm very fuzzy with the concept of rings. I'm stuck on the following problem:
Find all the ideals in the following rings:
1. Z
2. Z[7] (Z subscript 7, equivalence classes of 7 I'm guessing)
3. Z[6]
4...
This is a problem from my abstract algebra book written by Ted Shifrin:
A druggist has the five weights of 1, 3, 9, 27, and 81 ounces, and a two-pan balance. Show that he can weigh any integral amount up to and including 121 ounces. How can you generalize this result?
While I see how it's...