Math Forum / Mathematics / General Topics / February 2010

Help would be appreciated with the following problem on 'shrinking
polygons' - a generalisation of 'shrinking squares':
let S be a sequence of n non-negative integers (a1, a2, a3, ..., a_n).
Let the transformation T send S to (|a1-a2|, |a2-a3|, ..., |a_n-a1|).

Here is an unoriginal puzzle (stealing mostly from Soduku).
The puzzle itself is easy to solve, but it was enjoyable for me to
invent and to prove that there is only one solution.
The 10 variables (m(0),m(1),m(2),...,m(9)) when their values are

This is the basis of the  differentiation and determination of
primality AND further differentiation is by a "Special method", that
utilizes fine precision  hold your ponies , we have done this
yesterday just to expose the simple method, we need to confirm the

The Math is simple as we explained-- in regard to The horizons
because of -1
57/360 - 45/360  = 0.03333333333(11) , note exact value of . It will
make no difference in calculations , but the new values will be more

"1-1=-1"
Least proportion = 1/57   (Curved Prop0rtion at Radian 57.2958)
Conventional degrees----------Proportion at 1^2 Right angle---
-(this can be done by accurate drawing / trignometry)

The following simple procedure generates graphs that seem to be
Hamiltonian, but I don't manage to prove or disprove it. Will you be
any luckier (or just plain smarter:)?
The procedure basically accumulates finitely many "arches" on a

We have been concerned NOT with this silly obsession about prime
numbers/primality etc which has little bearing, as we are more
concerned about the structure of Mathematics , Prime placement, and a
new mathematics , in addition to correction of the .3333333333(11),

Hello.  I'm working through an algebra book and got a little confused on a
question in the exercises.  The question reads:
In a number field F, let R denote the ring of integers of F and let I be a
nonzero ideal of R and let x be an element of F.  By using an integral basis

If r is real, how do we prove that abs(r^i) = 1 ?
Thanks!
Michael

CBS's 60 Minutes on a Bloom box of a fuel cell that
"crackpottishly promises" a world of clean and readily
available energy.
Here is a case where a TV program does a horrible job

in physics & math, boldfaced type is used to indicate that a quantity
is a Vector.
  But when handwriting (as on a classroom blackboard), the convention
is to put a line over the letter, as bolding handwriting is

I'm young (not that much, not that few) and I'm having problems at
learning at school.
I'm attending the high school, and I'm having most problems with limits
and function continuity.

If X is compact Hausdorff and f:X -> Y a
local homeomorphism, is f a covering map?

A paper has been posted to the arXiv, claiming to settle
the 3 x + 1 problem. Seong Ik Cho, Collatz problem of
positive integers,
http://xxx.adelaide.edu.au/PS_cache/arxiv/pdf/1002/1002.3973v1.pdf

I am having the following optimization problem:
find matrices X and Y that minimize z(X,Y) = AXB + CYD
where A,C are row vectors, B,D are column vectors, all
given. All values are ***discrete***.