Math Forum / Mathematics / Recreational Math / May 2008

Say we have a box with sides of 10 light-years in length.
Let there be 10^80 particles randomly distributed in this box.
Let each pair of particles be connected with a line segment.
What is the approximate number of these lines in a box 1 meter cubed?

Here is a question regarding combinatorics. I'm cross posting it
to sci.math.probability because any combinatorics probablem speaks
to the issue of probability which I'm interested in.
How many ways are there to partition a number N into a number of

I need a formula which give me the integer part ( and only the integer part)
of a division.
e.g.: 21/8=2 but not 2.625 , or 15/4=3 but not 3.75.
Does it exist ?

There are sixty times sixty times twenty four times three hundred and sixty
five seconds in one year.  Every four years there is one extra day added to
this number. As many quarter seconds in the number of extra days there are
as in the number of leap years for which an extra ...

Find y:
Given:  g = a googolplex - 1
            y = the largest number smaller than g such that
  Sum(i = y to g)  1/i  >= 1

BlankAnyone have a suggestion for a good graphing program for the PC?  Something about algebra 2 or pre-calc level.
Preferably a free download.
Thanks.

I started playing Spider Solitaire again and decided to record my results,
just to see what was happening. The results for 50 games are shown below and
are somewhat interesting.
Spider Solitaire is frequently part of the MS Windows game package but if

Two identical isoscelean triangles with angles A,(180-A)/2 and (180-A)/2 have their vertices on the circumference of the same circle. They have an angular displacement of 125 degrees to each other. If the overlap of the triangle areas is equal to one half of the area of one ...

I already know that a regular n-sided polygon is constructible with
straighedge and compass only if
 n=2^k*p_1*p_2*p_3*...
where k is any nonnegative integer and the p's are distinct Fermat primes. I

So we have three weapon models A, B and C. A and B have the same damage per
second output, but differing rates of fire. Model C has the highest damage
per second, but a lower overall damage per second:
A). 20 shots/sec at 5 dmg/shot = 100 dmg/sec.

I'm looking for a way to generate all of the possible complete partitions
of a string.
That is, if I have a string "ABCD", I want to generate the list:
"ABCD"

Here's a polynomial:
x^3 + x^2 + x
A volume plus an area plus a length.
Um. Ok so I see how it's a nice neat sequence and -- SAY WHAT!?

Hello CAS Fan the Earthling,
Caramba! The Final Battle might break soon! Are WE the Earthlings
ready?
Forget the morons, don't basti your diamond time to the drivel;

ABC is a triangle with a = BC, b = AC and c = AB.
It is the base of a pyramid which has D as its apex.
Let d = AD, e = BD and f = CD.
A line passes downward perpendicular to the base from D to a point P at the base.

Maple and Meijer's G-function
http://www.vttoth.com/MapleMeijerG.htm
Maple's implementation of Meijer's G-function does come with such a
numerical implementation. Unfortunately, this implementation does