The latest version of the Iterator package is now available at the Maplesoft Application Center.  It provides a new export, MultiPartition, extensions to existing exports, and options to most exports for transforming the output to a more desirable form. The help pages have been improved, with some hopefully interesting examples.  Here is one, showing how it can be used to write a procedure for solving a generalized ...

I just posted and then clicked 'logout' (upper right on the page).

After going back I recognize I am still logged in. Strange. Does
the page not clear the data (= cookies?) for that demand?

restart;
a:= 2.75:  b:= 7.:  N:= 2^4:
X:= t-> add(sin(b^k*t)/a^k, k= 0..N):
Y:= t-> add(cos(b^k*t)/a^k, k= 0..N):
plot(
   [X, Y, 0..2*Pi], numpoints= 2^12
  ,scaling= constrained
  ,axes= none
  ,color= cyan
  ,caption= cat("Happy New Year ", StringTools:-FormatTime("%Y"))

In ?ChiSquareIndependenceTest a contingency table is needed for input.
To construct such a table from raw data is not trivial. I suggest to include this in the statistics package.
A first try:

Crosstab := proc(A,i,j,first::evaln,second::evaln)
  

J:=Int((3*v^2+4*v+2)*(-(3*v^2+2*v+1)/(3*v^2+8*v+4))^(1/2)/(1+2*v)^2,
      v = -2 .. -2/3) 

Then J = -8/3*EllipticK(1/3) + 8/3*EllipticPi(-1/3,1/3) + 3*EllipticE(1/3)


That integral caught my attention through a private discussion. Both MMA and Maple
only succeded up to a limit in the lower boundary, which could not be determined.

Re-writing the integrand as A/(polynomial of degree 4) using the command 'rationalize'

Reposting an old piece of code, but with two corrections.

yuletide.mw

Maple has  combinat [composition] (n, m)  command, which returns all possible lists of positive integers of  m  terms, the sum of which in each list is n. But there is no similar command for multiplication.

Wrote recently procedure  Factoring, which solves this problem. Formal arguments:  n> 1 - an integer, m - an optional parameter...

This example was reported to me after a Calculus II student encountered this ridiculous result:

f := (k+5)/sqrt(k^7+k^2):
Int( f, k=1..infinity ):
% = value( % );
             /infinity                              
            |              k + 5                    
            |          -------------- dk = -infinity
            |                   (1/2)               
           /1          / 7    2\                    
                       \k  + k /                    

Maple 16 introduces the ?ModuleIterator method, which can be assigned in a module so that it can be used  in a for-loop, or in the seq, add, and mul procedures.

ModuleIterator should return two procedures.  The first (referred to as hasNext) is a predicate that returns true if the iterator is not finished.  The second (referred to as ...

I would like to be able to look at the maple video tutorials with the MaplePlayer on the Ipad. Hope that this is made possible.

Dear friends,

I will present a series of commands for you to ponder that should speak for themselves.

> q := n -> int(1/(1-2^n*exp(I*theta*n))^2*2*I*exp(I*theta), theta=0..2*Pi);
                            2 Pi
                           /
                          |          2 I exp(theta I)
               q := n ->  |      ------------------------ dtheta
                          |            n                2
                         /       (1 - 2  exp(theta n I...

Hello all,

I recently helped someone with a contour integration problem, you may find my calculation at the following link. It occurred to me to test this integral with Maple and Mathematica.

For example,

int(1/x^(1/3)/(x^2+2*x*cos(Pi/7)+1), x=0..infinity);

produces an unusable output from Mathematica. Maple is a little better,...

The application center has undergone some changes.  I usually like to see if things are working properly.

There are currently problems with searching maplesim models.  Doing an advanced search under maplesim5 does not bring up all maplesim 5 models, such as

- Flow dynamics in liquid connected tanks
- Double glazed windows

The next issue is with regards to phantom applications that are there but not linked.  For example:  Advanced...