Math Forum / Mathematics / Undergraduate Math / February 2005

Now I want to appeal to reason, once again.
Factoring is important in our world.
I have found a new way to factor, as I can show in a few lines:
Take the two quadratics

Can anyone help me with this little lot?
1. Is it possible in principle to choose a uniformly random real number
from, say, the interval [0,1]? (By "uniformly random" I mean that every
real number has an equal chance of being chosen.) I know that in

One of the most important points to make, which should end the debate
and get someone to contact the US Government so that authorities can be
informed is the closed form proof of surrogate factoring.
By closed form I mean the proof that it is a complete solution which

To me the basic surrogate factoring method, where you factor T and also
j is not an elegant solution.
However, it's the easiest to show, so I posted the equations, and I've
shown I'm right.

It would help if I could draw a picture:
A)The y axis from 0 to 1 is a boudary
B)The x axis from 0 to infinity is another boundary
C)There is a function whose curve describes the x axis as an asymtote

Hi, i have this problem and need some helps.
Write a procedure which test if a given polynomial has an interger
root or not. Why do we not have to worry about rational root?
My thoughts were: We dont have to worry about rational root because

Hi, is it true that " If L1, L2 are languages over the same alphabet,
L1 is subset of L2 and L2 is undecidable, then L1 is also undecidable
" ?
Cheers.

My book states Definition of ordered field as follows:
If a field F has nonempty subset S satisfying
(i) For all x,y in S, x+y in S, x*y in S
(ii) For all x in F, x in S or x=0 or x in -S

Well I can at least give some idea why I figured I'd solved the
factoring problem, and kept talking about theoretically, while my
attempts at implementing the theory have so far failed to live up to
even my expectations:

I started with:
lim  sin(x-1)
x>1  x^2+x-2
then I factored the denominator and got:

Hi. I look for a proof of the famous Stirling formula by central limit
theorem.

Greetings! :]
Could someone please explain to me how one would go about solving the
following question? That would be much appreciated!
Using the Intermediate Value Theorem, find the roots of cos(x) = x in

Does anyone have a suggestion on how to start this proof:
Given the Fibonacci sequence defined as F_1=F_2=1, F_n+2=F_n+1 + F_n
for n>=1.  Show that F_n+1*F_n+2 - F_n*F_n+3 = (-1)^n.  I'm new at the
typing so it is read as F sub n+1 times F sub n+2 minus F sub n times

Q1.
Show that :
every infinite set has countable subset which is equipotent to N(atural numbers).
Could someone give me a hint or sketch of the proof ?

Whether you realize it or not, I get a kick out of neat experiments
like putting my prime counting function in an actual encyclopedia
article, and it was fun to write that article, and seeing how you dance
to try and yet again claim that my work is of no utility.