Dear friends, I recently answered a query concerning the action of the automorphism group of the Petersen graph on its edges at math.stackexchange.com. The algorithm that I present is quite naive, but it does produce the desired result. I thought I would share it here because it makes a nice Maple programming exercise e.g. for a talented student at high school level. (I have always thought that Polya counting and permutation groups belong into the high school curriculum.) It makes extensive use of Maple's internal hash function for compound objects to efficiently compare them during the computation. It is quite interesting to observe how Maple does work hard for several minutes to do this computation and then comes up with the correct answer. (Obviously the core computation needs to be done only once.) Enjoy!

Best regards, Marko Riedel

If you come up with a better algorithm then please do share it at the stackexchange link.

Important update Mar 24 2016. The algorithm at the above post is middling to say the least, but can perhaps serve as an example of Maple computational techniques. There is an efficient algorithm including Maple code here at math.stackexchange.com.

Dear friends,

I have recently been calculating a sum from this link.

The problem here is to calculate the sum sum_{n>=1} (-1)^(n+1)/(n^2+a) with a some positive real number. You probably all agree that it is preferable to express it using elementary functions from basic calculus as opposed to the Gamma, Zeta and Digamma...

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

yuletide.mw

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,...

Dear friends,

I was working on the integral of cosh(ax)/cosh(x) from zero to infinity with "a" being a rational number p/q where p<q and p-q being odd. I was quite shocked to discover that Maple 15 (X86 64 LINUX)cannot do this integral while Mathematica gets it right every time. I certainly hope this will be rectified soon.

For those who might be interested the calculation of the integral

there is a link

http://webmath.exponenta.ru : Russian users thanked Maple 6.000.000 times.

I want to Play with math full-time.  I posted a help me do it page on my website at marvinrayburns.com under the link titled "Help!" Any ideas on how I can gel it to go viral and maybe get some support from it?

Recently, a Maplesoft customer service representative received an e-mail from one of our users with the subject line: A Simple Thank You. We wanted to share this message with you, as it demonstrates how the power and flexibility of Maple helped one student get ahead in his studies.

The following is an actual email we received from Eli E., which describes his experience using Maple as a university student.

Hello, my name is Eli...

Revision Note:
I have updated the graph in the attached Maple document based on Doug Meade's comment below.
CarTalkPuzzler_9-22-.mw 

Car Talk, a humorous phone-in program in which Tom and Ray Magliozzi (Click and Clack, the Tappet Brothers) diagnose and offer solutions for mysterious auto-related maladies, is carried by National Public Radio...

On Monday, August 6 at 1:31 a.m. EDT, NASA will attempt the landing of a new planetary rover, named Curiosity, on the surface of Mars.  The Mars Science Laboratory project is managed by the NASA Jet Propulsion Laboratory (JPL) in Pasadena, California, a world-renowned center for robotic space exploration and advanced science and engineering.  JPL recently began a widespread adoption of Maplesoft technology, and Maplesoft’s products are expected to help JPL save...

If anyone was interested Euro 2012 starts tomorrow.  Using the FIFA simulation created by Robert Israel one could enter the new values for the ELO ratings found here http://www.eloratings.net/euro_cup.html to create a similar simlation of Euro 2012.  Just for visual sakes here's the ELO ratings for the teams in the tournament.

Maplesoft has these interesting bits of Math on their website.  For example this one here

http://www.maplesoft.com/mathmatters/airplanes.aspx

It is all nice and all but I would like to see some reference examples to maple for each one, a cool application worksheet that portrays each one nicely. 

Using the example link above I searched maplesoft application center for navier stokes...

Not really a review but I think Maple has so much cool stuff one can do with it, that we get sidetracked from one project to the next.   Before you know it, a new release is out and you've put your project on hold to try out and play with the new features - and not really forging ahead on any projects.  One year between new releases isn't enough time to have customers really, and I mean really, dive into Maple.

Here is what a reviewer at computing world said about Maple16

Being easy to use is nice, but being easy to learn with is better. Maple’s ease-of-use paradigm, captured in the phrases “Clickable Calculus” and “Clickable Math” provides a syntax-free way to use Maple. The learning curve is flattened. But making Maple easy to use to use badly in the classroom helps neither student nor instructor.

In the mid to late ‘80s,...