Math Forum / Mathematics / Undergraduate Math / March 2009

THANK YOU, MR No-one1.
I am pleased by your words.  
I am waiting for your comments.
Once again thank you.

Polya's theorem states that a simple random walk in one dimension is recurrent i.e. it will always return back to the starting point of the random walk, therefore it is impossible for it to wander off to infinity. This is proven.
However my tutor then posed me the question of ...

With yet another "pure math" result that tests the boundaries of
incredulity when people insist I'm just an insane crackpot with no
research of value, I like the demonstration from the reactions to tell
those of you who are honest what is really going on: certain people

There are people on the newsgroups who often reply to me with replies
that betray a woeful lack of even basic mathematics.
So why are they here?
Mathematics does not require a math Ph.D, and does not require that

I've been brainstorming a factoring idea for less than 24 hours which
involves using quadratic residues to factor, relying on the fact that
non-square residues should be shared by two large prime factors for a
particular quadratic residue only roughly 50% of the time.

BD bisects ∠ABC in  triangle ABC, D on AC, m∠ABC =80 ,
AD=BD+BC
find  measure of an angle C

1. Two drops of the spherical form with radius r=1 merge in one, too the spherical form.
A question: to That the area of a surface of " a total drop " is equal?
2. y=4/3(pi* r^3);
y+y=2y;

solutions manual (To search click in keyboard Ctrl+F)
Solutions Manuals in Electronic (PDF)Format! Just contact with ,
getsolutionmanual (at)  hotmail.com  (my email address,getsolutionmanual@hotmail.com ),  these are parts of our solutions, if the solution you want is  on the ...

Dear all,
I have a set of points in a plane. I need to write an algorithm that creates a convex polygon from that set of points (using all points/ no self-intersecting).
Then I need to calculate the centre of gravity of this polygon, taking into account that there are different ...

i need this book
a first course in probability)    -    8  edition

I have this problem from my introductionary statistics course..
If you have discrete X ( X = 0, 1 .. n), which is binomially
distributed with parameters (n,p). What is the probability that X is
even? How do I approach this problem as there is no sum function for

y=pi*r^3
y'=?
Only do not think, that it is a joke or disrespect for participants of a forum. The EXHAUSTIVE answer is necessary to me!

Consider a sequence of 3 coin tosses.
There are 8 such: HHT, HTH, etc.
And each is equiprobable, right?
Let's play a game, betting $1, even money.

If I were to issue 5% stock in the holding company but decided to rather sell stock in a subsidiary company that owns 75% stock in the holding company. How much stock do I have to sell in the subsiduary to respresent 5% in the holding company?

Define a real valued function f on a measurable space (X,S) to be
*measurable* if, for any Borel set M,
        intersection({x:f(x) != 0}, {x:f(x) in M}) in S
It is my understanding that this definition can be generalized to an