Math Forum / Mathematics / General Topics / October 2008

How many primitive elements in GF(81) ?

I just submitted this sequence to the Encyclopedia of Integer
Sequences.
(http://www.research.att.com/~njas/sequences/ )
%S A145264 1,0,0,2,2,0,0,3,0,0,0,0,0,0,5,0

Consider the following equation under the given conditions
a^2 = (k^r)v^k + 2                 (1)
Conditions: a, r, v are integers each > 1, k is a prime > 3, r > k
                 k does not divide r

Obama wins, period!
Only, that's according to how people vote.
Thanks,
Ross F.

you know this software that turns photographs into pixel grids, using a
smart algorithm to decide which pixels in the grid would be black (there)
and which white (not there)? they use it on passports now. it's typical
police software, originating from the search for automated ...

Can someone tell me something about this rule:
Integral(F(x)^p dx)=p*Integral from 0 to infinite of (t^(p-1) * Q dt)
where Q is the measure of the set of all x: f(x)>t
I'd like to know if this formula has a name and how to use it

take an open and closed subset A of the topological space of a scheme
X, then one can furnish it with the structure of an open subscheme of
X by restricting the sheaf on X to A. On the other hand you can put
the reduced structure on it to make it a closed subscheme of X. Are

I was wondering if some sufficient conditions are known, that are not
too strong,
under which the group of continuous automorphisms of a locally
compact

is the ring of continuous complex-valued functions on a compact
hausdorff
space pythagorean (i.e.: any sum of two squares has a square root)?
of course the answer is yes for real-valued functions, but what about

prove lim {n to infitiy} {(n+3) / (2n+1)} = 1/2
PF:

1/(2n + 2) < ε => 2n + 2 > 1/ε => 2n > 1/ε - 2 => n> (1/ε - 2) / 2

Suppose X is a real-valued random variable and I form two new RVs
Y=g(X) and Z=h(X), i.e., one-to-many transformation.  Intuitively it
appeared to me that Y and Z cannot be independent.  My friend
suggested: Let X be uniform in the interval [-0.5, 0.5].  Define Y=|X|

1. I have n points, each point needs to connect with all the other
points (total of (n-1)! lines), how many diemensions do I need in
general so that no lines are crossed. (lines do not have to be
straight)

is there a relation between the properties of a metric space (and the
related topological one) to be "cauchy complete" and "locally
compact"?
Thanks,

In one dimension the following is true:
if A(k) are a collection of convex sets (intervals) and
A = Intersection of all the A(k)
Then there exist i and j such that A = A(i) intersection A(j).

The determinant of the 4x4 complex matix   (i^2= -1)
it-m   0        -iz      -ix-y
0       it-m    -ix+y   iz
iz      ix+y    -it-m   0