Recent content by dogma

Hi all. I'm doing some self studying on limits, and...I have the following problem with this problem... Prove: If f(x)>0 for all x, then \lim_{x\rightarrow x_o} f(x)\geq 0 for any x_o I'm assuming the best way to prove this is through contradiction: Assume \lim_{x\rightarrow x_o}...

Thanks, Mr. Ivy! That makes things a lot clearer! I can see the light. dogma

Hello out there. I'm working on a proof by induction of the Wronskian and need a little boost to get going. So, here goes: If y_1,...,y_n \in C^n[a,b], then their Wronskian is...

okay, my brain is starting to show some activity...thanks all dogma

That makes sense, but I can see a couple of soulutions to that: (a,b,c) = (1,-1,1), (-1,1,-1),(1,-3,6),... If I'm on the right track, how do I determine which is correct? Thanks again.

Hello, Please bear with me...my brain is in vapor lock. I have a line L1 given by the following parametric equations: x = 2+3t, y = -1+5t, z = 8+2t I need to find the equation of a line L2 passing through point B = (1,2,5) and perpendicular to L1. For the life of my tired, worn...

thank you once again...google is great. dogma

thanks Thank you...that makes sense. dogma

Hello! For the life of me, I can't seem to figure this out (vapor lock in the ol' brain): Show that if G has only 1 p-Sylow subgroup, then it must be normal. I know it something to do with showing it's a conjugate to itself (right coset = left coset?). I'm just not quite sure how to go...

Letting F be a finite field, how would one show that the multiplicative group must be cyclic? I know that if the order of F = n, then the multiplicative group (say, F*) has order n - 1 = m. Then g^m = 1 for all g belonging to F*. Thanks for your time and help. dogma

Well...all's well...figured it out.

Hello out there, I have a question about the transformation of discrete random variables. I have a joint pdf given by: f(x,y)=\frac{(x-y)^2}{7} where x = 1, 2 and y = 1, 2, 3 I can easily create a table summarizing the joint pdf of RVs X and Y, f(x,y). I now have a transformation...

book: I've enjoyed using Abstract Algebra, A First Course by Dan Saracino (ISBN: 0-88133-665-3) sites: right where you're at regards, dogma

A big, belated thanks to all. I apologize for not thanking you all earlier...got caught up with work stuff. Thanks again for the help. dogma

thanks...that helps clear up things a lot. I'm still having a hard time seeing the other way...I'm sure it's not as bad as I think. dogma