webmath.exponenta.ru

Maple Russian site: 7.000.000 visits, 12,000 visitors per day.

In February, I will place a new package - DeMapler.

Several thousands of solutions of standard problems. Step by Step.

From first order differential equations to systems of DEs.

Although unfinished, this project I had left idle for a while and just thought to share with the community.  Not fancy by any means, no graphs or anything, was just having fun creating a worksheet on mortgages but then ran out of free time to work on things as usual, anywyas.  I skipped the derivation for the formula after n payments at the end and just provided the formula and dove right into an example.  For interest, my applications usually have numbers after...

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 ...

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"))

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'

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 ...

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...

This tutorial shows how to setup a dual-language project such as Maple/Java or Maple/C in Maple IDE. In the end of the article you can find some links for further reading.

Maple Connectivity

The integration of Maple projects with other Eclipse projects is designed for seamless development and building of your C, Fortran, or Java code for Maple using External Calling package.

Maple Project can be mixed with

I would like to pay attention to http://www.ams.org/samplings/feature-column/fc-2012-12, where a discrete analog of vector calculus on graphs is applied to rankings. In my opinion, it would be useful to implement that in the GraphTheory package.                           ...

Ten more Clickable Calculus solutions have been added to the Teaching Concepts with Maple section of the Maplesoft web site. Solutions to problems include examples in algebra, differential and integral calculus, lines-and-planes in multivariate calculus, linear algebra, and vector calculus.

The algebra additions include an example illustrating how a

We have added over 2000 new questions to the Maple T.A. Content Center.   Content comes from the University of Guelph, the University of Waterloo, the University of Portsmouth, and Keele University. Topics include calculus, statistics, engineering mathematics