Math Forum / Mathematics / Undergraduate Math / April 2006

"In a tree, the eccentricityof a vertex x, denoted e(x), is the number of edges in the longest simple path that begins at x. (Or equivalently, it is the maximum value of d(x,v) taken over all vertices v.)"
a.) "For the following two trees, T_1 and T_2, label the vertices and find ...

I have a task which involves a Poisson process, and I want to
calculate certain probabilities.  However, my simulation and analysis
return different results, and so I must be making some mistake in this
rather simple task.  I would appreciate it if someone could write

Could someome please give me a hand with this problem:
A sattelite  in a low, circular orbit around the earth passes over the noth
and south poles. it makes one revolution every 2 hours. an observer standing
on the eart at the equator sees the satellite pass directly overhead. in

I need to find a graph, that it's Block graph is Cn (a cycle with n
vertices)
Or on the other hand, prove that such graph doesn't exist.
For n=3, the graph is K1,n the block graph is K3 (aka C3)

How would you calculate the odds of rolling a set of 5 dice 6 times and not
rolling a two on any of the dice?
Thanks for your help.
Dustin

can someone help me and tell me how can i find the left hand derivative
of the following.
i know it sounds stupid but im stuck.
if g(x)=x^2/3 , using the first principle, find the left hand

I was wondering if there is someone out there that can
help with a problem I am trying to solve. I have a set
of numbers that if graphed would form some line.
I also have a database of other previous data point

I have for a very long time been convinced that it is possible to use fibonacci sequence to generate a profit from a roullette wheel.
By betting three separate sequences on each of 1-12, 13-26, 27-39 which all pay 3 to 1 odds, each sequence would always provide a profit when it ...

i have come across a function known as the method of diagononalization,
the problem acts on a set of infinite sequences
For the following set of infinite sequences,
{ ( f ( n,0), f ( n,1),,......, f ( n,n)....) |  f ( n,k ) is a member

Just stumbled on this identity while doing some related work.  Given
the equation,
ax^2+bxy+cy^2 = dz^2
and initial solution (x1,y1,z1) = (m,n,p), then an infinite more can be

I'm learning calculus from a book called "Forgotten Calculus". I'm getting confused by something. The author states that a critical point can be, but need not be,  both a relative extreme and an absolute extreme at the same time. Fair enough. But in the case of two simple ...

Every once in a while my professor makes the homework from scratch, i.e. not using problems from the book. While I really hate this style because I can't check my work, I have an assignment due tomorrow and I'm completely stumped. Here it is:
Find the general solution of
2(x^2)y'' ...

So no, Wiles did not prove the Taniyama-Shimura conjecture, as his
approach fails a simple logic test, failing by Cum Hoc, Ergo Propter
Hoc.
The only reason he could step through an approach that might appear to

I apologize in advance if this is a bit wordy.  I need advice on the best books for learning statistics on one's own.
I'll be starting a masters program in energy finance in the autumn. The curriculum includes both geostatistics and discrete and continuous stochastic processes. I ...

I need to prove that every simple graph with 10 edges and 6 vertices
has a Hamiltonian cycle.
I think it's related to Ore's theorem, according to which:
Every simple graph G with n vertices that satisfies d(v)+d(u)<=n for