Personal Stories

Stories about how you have used Maple, MapleSim and Math in your life or work.

My site of Russian Maple's Center (webmath.exponenta.ru) reached the milestone of 8000000 visits.

Year of foundation - 2000
Now - 8,000 visitors a day.
Since the Maplesoft is not interested in this project, I renamed it.
Current title: Site of Independent Work of students.
I wish you all good luck!

Mechanics of Materials toolbox for Maple: 10 (or bit more :)) free licences for Maple fans.

For students, engineers and simply creative fans of Maple.

If you are concerning mechanics of materials or structural mechanics, please feel free to

send Hardware ID code via e-mail: support@orlovsoft.com after downloading from

http://www.orlovsoft.com/download.html

and installing MM Toolbox for Maple.

(Maple 32 bit only)

Thanks to Maplesoft for analytic power

Dear friends,

this is to share with you what a joy it was to work with Maple on the problem of enumerating non-isomorphic graphs. This problem goes back to Polya and Harary and it is a beautiful example of Polya counting, while also being of notable simplicity, so that a high school student or an undergraduate can follow it easily.

I have worked on this problem over the years, adapting my solutions in Cocoa and Lisp as I gained insights. My first attempt used...

Dear friends,

every once in a while I come across an integral that Maple does not readily compute and post it here, so that your programmers may perhaps include it in the integration engine.

I am writing today concerning the integral int(x^q/(exp(x)-1), x=0..infinity); for q a real number. Maple can do this integral for rational q but not for irrational ones, e.g. try q=14/10 vs. q=sqrt(2). I hope you can make good use of this hint. The original computation...

Today's SMBC strip by Zach Weinersmith is a silly math joke but it was pretty much begging for implementation.

So, here is a simple brute force Maple program to compute the Fouriest transform of an integer.

fouriest := proc(n::posint, ob::posint:=10)
local b,f,cap,i,rdx,fc;
...

A set of three taped video interviews with famous physicist and mathematician Cornelius Lanczos (1893-1974) has been made available online by the University of Manchester.

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.

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?

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