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}...
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...
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...
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
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...