Math Forum / Mathematics / General Topics / July 2009

  I was trying to understand the irreducible representation of the
symetric group S3.
In a three dimensional space, spanned by e1, e2 and e3 (say, the x,y
and z axis),

How do I prove 2 straight lines are parallel to each other? If they
intersect then they are not parallel. But how do I prove they are
parallel?
Thanks

Im having problems understanding the steps to solve the next integral wrt sig^2.
p(mu|y)=int{0,inf} sig^(-n-2) * exp(-1/(2*sig^2)*[(n-1)*s^2 + n(y - mu)^2]) dsig^2
Where y is the sample average and s^2 is the sample variance.
Then we can use the substitions:

Wikepidea's section on metrics mentions a
metric with values in a directed set.
I'm am puzzled what that means.
d:SxS -> R is a metric when for all x,y in S,

As in title.

I am a nurse and do not know much about mathematics. I hope the
following question has an answer.
The probability of getting pregnant while using condom varies with
age, ethnicity, etc.

Turns out that if you follow rigorous mathematics it is trivial to
show a problem with the use of the ring of algebraic integers with a
quadratic factorization that I've often given before:
7(175x^2 - 15x + 2) = (5a_1(x) + 7)(5a_2(x)+ 7)

f(x) = x^2 ln(x^3 - x^2) Is it best to simplify before
differentiating?  Could you get different answers due to the
simplification. f(x) = x^2 ln( x^2(x - 1) ) ... ?

On my math blog Penny Hassett had a comment that got me to thinking
and after pondering at her suggestion what others believe to be true
in their disagreements with me about a certain serious mathematical
issue, I concluded that infinity could help to clear the air.

Problem:
Let x_0, dx, x, w, y_0, dy, y, h in Z (integers) be given. Give an
(efficient) algorithm to determine whether there is a solution
(x, y) in [0, w[ x [0, h[ subset Z^2 to the equation

--quote--
If Allah is all-powerful and knows the future, then he knows what is
going to happen from moment to moment, and how we live our lives is
unimportant since he will know in advance what we will do with them.

Does anyone know any (nice) applications of the following theorem?
Every compact metric space is a continuous image of the Cantor set.

Hi all,
I have noted that people experienced with symbolic computations maintain
that
   (-1)^(1/3)  

My problem is: assume a discrete function, find the value of the variable for which the function becomes extreme.
My question arises from an exam  i've just had, in which i had to find the value of n (a discrete variable) for which cos((2*n-1)*Pi/(2*a)*x) or sin(n*Pi/a*x) ...

The mixed Electron from Wikipedia .
Electron.
From Wikipedia, the free encyclopedia.
http://en.wikipedia.org/wiki/Electron