## residues of a function related to digital sums

by: Maple

I will post here the output of two commands that has me a bit worried. Of course it is entirely possible that I am overlooking something very simple, which is why I am writing to your site.

`> residue(1/(2^s-1), s=2*Pi*I*3/log(2));                                           0`

## A typographical issue with the new subscripts

by: Maple 17

Dear Maple Users

I am mainly in favor of the new rules concerning subscripts. Using Ctrl+-- (double underscore) it is pretty straight forward to get a literal subscript and it displays much better in the palette Variables than was the case i Maple 16. Also the purple coloring of a variable containing a literal subscript makes sense, because it can be distinguished from the usual subscript (now Ctrl+shift+-). Good that you can remove the coloring in the View Menu (Atomic Variables...

## beta function vs. sine

by: Maple

Dear friends,

I am reporting with a brief comment concerning the integral int(1/(1+x^a), x=0..infinity) with a>=2 a real number. This was evaluated here.

Now Maple 15 (X86 64 LINUX) will quite happily compute this in its most simple form involving the sine when a is not a positive integer or a rational number. If it is, however, a beta function term results,...

## The enumeration of non-isomorphic graphs.

by:

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...

## Area Between Several Curves

by: Maple 16

I was thinking about the area problem, yet again, and found myself asking the question: why must we go through such elaborate means to get Maple to generate a plot of the region between two (or more curves)? I use the word elaborate to describe any process that would might become overwhelming, for, say a student, to go through to accomplish a task. Anyone with the most basic of backgrounds can understand the area problem, but yet, such an individual might not find it a trivial...

## closed form integral

by: Maple

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...

## calculating a sum symbolically

by:

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...

## Crosstabulation

Maple

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)  `

## elliptic integrals

by: Maple
`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 Mapleonly 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'`

## Viewing maple tutorials on the Ipad

by: Maple 2017

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.

## possible symbolic integration bug

by:

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...```

## more contour integration issues

by: Maple

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,...

## Wish List: 16 + 2

by: Maple

This is a wish list for the version of Maple after whatever immediate next version is being developed.

It's about three-quarters of a year since Maple 16 came out, and if Maple follows its recent history of annual releases then development of new features of the very next release after 16 would be quite well along, and possibly even nearing completion. But that could mean that this is a good time to discuss wish lists for the version after that -- the version two releases after 16.

## Who's number 1?

Maple

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.                           ...

## Maple Update for Retina MBP?

by: Maple

Hi,

I used Maple in my studies, but it is not suitable for screens with high-dpi resolutions and it has no full screen mode.

I have a Macbook Pro Retina.

Thanks.

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