Math Forum / Mathematics / Recreational Math / June 2005

Can anyone explain the differences between simple, face-centred and
body-centred cubic lattices?
I can find dozens of references to them but no definition of what they are.
Regards,

Hi folks,
I know this is off-topic, but I couldn't tell where on mathforum
would be best and I know some very astute mathematicians monitor
this thread. The following link is to a paper I wrote in 1997.

What is unique about this right triangle?
It has sides of 119 and 120.
earle
*

Imagine a cube made up of lots of small cubes.  If the number of cubes added to enlarge the original cube can be rearranged to form another cube then, of course, x^3+y^3=z^3 will hold which is, according the the famous Fermat’s Last Theorem, impossible.
The number of cubes needed ...

What kind of statistical test might one perform on the last 500
draws of a Pick-4 lottery game to determine if there is a bias?
Stig Holmquist

In 1994, Thomas Koenig, a mathematician, found out that the
newly released Pentium chip did not calculate correctly.
http://listserv.cnr.it/cgi-bin/wa?A2=ind9411&L=linux-it&F=&S=&P=3296
Under certain conditions, divisions, remainders, and tangent

Hello Maple 10 potential customers,
Why don't try your luck at the roulette named Maple?
Really, why don't put your success at stake via making
your career depending on chances? If you would lose,

Hello the world,
Before me, on the left, a monography is placed.
Yu. A. Shevljakov,  Matrix algorithms in the theory of elasticity
of heterogeneous media, 1977, Kiev-Odessa, 215 pp

................................................................
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Hey all, I found this while surfing and was hoping someone could translate
this into english. Looks like trig but I haven't taken a math class in quite
a while.  Thanks in advance!
http://mysite.verizon.net/jsaputo/images/trig.jpg

sorry about the original simple query it didn't have all the required
information.
I have a sum, its related to accounting.
If you have a pound and you want to find it value in a year's time, you

Which is the order relations between $ A, B $ where
A=sqrt[6]{7\sqrt[3]{20}-19} and B= sqrt[3]{5/3} -sqrt[3]{2/3} .
I have denoted sqrt[p]{X}:= X^{1/p} , p>= 2 .

Suppose that   x , y, z are real numbers such that   x+y+z=0 .
Prove or disprove  the inequalities
(1)      (x^2+y^2+z^2)|x^3+y^3+z^3| =< 1.2 *|x^5+y^5+z^5|
(2) |x^7+y^7+z^7| =< 0.7 sqrt(2) *|x^5+y^5+z^5|*sqrt(x^4+y^4+z^4)

Is there a person who can calculate using Maple
the exact value of the following limit
limit(
(1 - exp(z/2))/sqrt(exp(2*z) - 1) -