Recent content by simmonj7

Homework Statement On the morning of September 30, 1982 the won lost records of the three leading baseball teams in the Western Division of the National league were: Braves Won: 87 Lost:72 Giants Won: 86 Lost: 73 Dodgers Won: 86 Lost: 73 Each team had 3 games...

Dick, I wasn't responding to your post. I get what you are saying and yes I had spelled out what you said in my original post. I have the problem solved now. I just didn't understand the logic of the other person who was posting. Thanks.

How does there not being an element of order p imply that the centralizer is of order q? If every non identity element isn't of order p, it obviously has to be of order q since it can't be of order 1 or pq. Then the centralizer of an element x would have to be at least size q (<x> must be...

What you said is false. If G is a non abelian group of order pq where p and q are distinct primes, the center is trivial. I proved this is homework and I know this for a fact. Consider the quotient group G/Z. Suppose that Z is a non-trivial subgroup then its order is either p or q (because it...

Homework Statement Use the class equation to show that greup G of order pq, with p and q prime, has an element of order p. Homework Equations |G| = \sum |C(x)| (class equation) Z = center of the group G = {z\inG: zy = yz for all y in G} |G| = |Z(x)||C(x)| (counting formula) The...

Homework Statement Determine whether or not the set is countable or not. Justify your answer. The set Bn of all functions f:{1,2,...,n}\rightarrowN, where N is the natural numbers. Homework Equations 1.)A countable union of countable sets is countable 2.)A finite product of...

e = indentity element of group G

Homework Statement Let T_{n} denote the number of different partitions of {1,2,...,n}. Thus, T_{1} = 1 (the only partition being {1}) and T_{2} = 2 (the only partitions being {1,2} and {1},{2}). show that T_{n+1} = 1 + \sum^{n}_{k=1} (^{n}_{k}) T_{k}. Homework Equations Let S be a given...

Homework Statement If b =\sigma^2 > 0 (which implies b is real), then the general solution is Ce^(i\sigmax) + De^(-i\sigmax) = Esin(\sigmax) + Fcos(\sigmax) = Gcos(\sigmax + H). Homework Equations N/A The Attempt at a Solution So I know how to get the first two forms of the...

Nevermind. I got it and I don't know how to delete a post. Thanks.

Homework Statement Solve the given boundary value problem or else show that it has no solutions: y'' + 4y = cos x, y'(0) = 0, y'(pi) = 0. Homework Equations N/A The Attempt at a Solution So I made it all the way through the problem I think, but I am not getting the correct answer...

Homework Statement Verify that the given vector is the general solution of the corresponding homogeneous system and then solve the nonhomogenous system. Assume that t>0. tx' = |2 -1|x + |1- t^2| |3 -2| |2t | General solution: x = c1| 1|t + c2| 1|t^-1 | 1|...

Ah! That's perfect kanato! Thanks!

I have been taught to do it the way I am doing it so I am going to stick with what I've been taught for power series.

Ok...I see what you're saying but I'm not quite sure what you are trying to say here as far as where I was supposed to go instead. And your explanation still doesn't cover what went wrong with the left hand side either and that it does not equal 4...