team-iterator.mw
sample.xls

Howdy

I'm trying to import data from this spreadsheet into this program authored by C.Love.http://www.mapleprimes.com/questions/200480-Product-Grouping

Both files are in the same directory. it imports the data (to some degree), but has problems with order, when decimal points are introducing, also duplicates . see my annotations on the mw file.

product.mw

Experts, I pose a question:

Separate the numbers 3,4,5,6,7,8,28,30,35 into three groups of three numbers each, so that the
product of the numbers in each group is equal.

The idea is to select numbers where the variance between the 3 groups is minimized.

my attempt doesn't get the anwer directly, there must be a better approach

eq1:=
(1/4)*D^2*Pi-(1/4)*D^2*arccos((-D+2*h)/D)-(1/2)*sqrt(h)*sqrt(D-h)*D+h^(3/2)*sqrt
(D-h);
                          
eq2 :=
-(1/2)*sqrt(h)*sqrt(D-h)*D+h^(3/2)*sqrt(D-h)+(1/4)*D^2*arcsin((-D+2*h)/D)+(1/8)*
D^2*Pi;

These equations are the same. yet simplify(eq1-eq2,trig);
<>0
The Mathematica COMMAND FullSimplify[..] gets zero.

Suppose I broadcast a game show where every episode there is 5 randomly chosen topics from 8 possible topics (A,B,C….). how can I get maple to do this automatically?

 I thought I could use

  > with(combinat):

> choose([A,B,C,D,E,F,G,H], 5);

of course the output comes out ordered. is there some way to randomize it? or another way? rgds

Would someone be kind enough to write rsolve procedures (or code) to evaluate these two sums

the answers are 3 and 7/4