Recent content by nadineM

Thank you so much you are always so helpful and patient! and are able to explain things clearly! THANKS :smile:

ok thanks I think I get it now. The answer is a( the limit as n -> infinity of 1/n * the summation from k=0 to n-1 of (k/n)) as I suspected correct? but one more question. Why can you bring the delta x that is 1/n out in front of the summation notation?

a=0 b=1. that is why I said choices a or c because then delta x is 1/n. but then the summation is different in the definition, the summation goes from i=1 to n. the choices I am given are summations from k=0 to n-1...so it is confusing me. I also see now that b is close but the delta x is 1/k...

Homework Statement If f is a continuous real valued function, then the def integral from 0 to 1 of f(x)dx = a. limit as n-> + infinity of 1/n * the sumation from k=0 to n-1 of f(k/n) b. limit as n-> + infinity of the sumation from k=1 to n of (1/k)*f(k/n) c. limit as n-> + infinity of...

I know that Z/(p) that is the integers mod a prime ideal is a field and I also know that: Field -> Euclidean Domain -> Principal Ideal domain -> Unique factorization domain ->Domain So I know that Z/(p) are all of these things. I also know that Z/(a) That is the set of integers mod a non...

OK thanks...I will work with that for a bit and see where I get...you can use what ever symbol you like i tried using gamma but couldn't get it to come up right...

I don't have a homomorphism though... I am not given the fact that Ф is a homomorphism?

Homework Statement Let G be a group with identity e and product ab for any elements a and b of G. Let ф: G⟶G be a map such that Ф(a sub1)ф (a sub2)ф(a sub3) = ф(b sub1) ф(b sub2) ф(b sub3) whenever, (a1) (a2)(a3) = e=(b1) (b2) (b3) for any(not necessarily distinct) elements a1 ,a2 ,a3, b1...