## Maple IDE Project Update

by: Maple

A few weeks ago, we announced that we had established a partnership with DigiArea, Inc. to bring the Maple IDE to the Maplesoft Web Store.  Development is progressing well, and I'm happy to report that we expect to have the IDE available for download beginning on June 19th.

## 2,000,000 digits!

On May 17, 2013 I finished a 2,000,000 or more digit computation of the MRB constant, using only around 10GB of RAM. It took 37 days 5 hours 6 minutes 47.1870579 seconds. You can write marvin@marvinrayburns.com for the digits.
The program I used was based on Richard E. Crandall's work:
Richard E. Crandall,Unified algorithms for polylogarithm, L-series, and zeta variants(53 pages)

## Update to Answer Sorting in MaplePrimes

by:

Last week we added a new feature to MaplePrimes that provides the ability to sort the answers to a question by votes (default setting), or by date. Based on a few of your suggestions to that post, we have enhanced this feature today.

First, you now will notice that there are three options for sorting:

• Sort by date (oldest first)
• Sort by date (newest first)

## mapleprimes update bugs

by:

I can confirm the bug is present in Opera/Firefox/Chrome and unpredictable. I just successfully posted a reply elsewhere but got a failure here. I'll try again and if it fails will post by "branching out", which seems to work every time.

## Plot Dirac. Graphic of an impulse train. Fourier...

by: Maple

Consider a signal which is a real sine series, f(x)=2*sin(2*Pi*x) + 5*sin(2*Pi*6*x) + 9*sin(2*Pi*11*x).

Let F(w) be its Fourier transform. Answer F(w) is purely complex and expressed in terms of symbol Dirac.

Maple "plot" fails.

Plots of impulse trains like F(w)=sqrt(Pi)*I*(2*Dirac(w-Pi)+4*Dirac(w-4*Pi)) involve user intervention. Maple won't plot such expressions, because they are DISTRIBUTIONS (not FUNCTIONS).

Try plotting F(w) to see the engine's uninformative error message....

## mapleprimes update bugs

by:

Same here, I've tested Opera and Firefox. I haven't bothered trying other browsers because if it doesn't work with Firefox, the most popular browser, it may be considered broken.

But I can branch out alright...

Editing:

by:

Earlier this afternoon we made an update to MaplePrimes to introduce some new features and to squash a few bugs.

The primary purpose of the update was to improve the context around how replies and answers are entered on MaplePrimes. The most significant change you will notice here is that submission/edit boxes now appear inline  under the specific message you are replying to, instead of at the bottom of each page.

Other improvements include:

## 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...

## Coming Soon: The Maple IDE

by: Maple

I'm pleased to announce that Maplesoft is working with the team at DigiArea, Inc. to further develop and enhance their Integrated Development Environment (IDE) for Maple. When we're done, the IDE will be distributed under the Maplesoft brand, and available for purchase through our Web Store.

The IDE doesn't replace Maple's current user interface, but is instead a separate, specialized environment for developing medium- to large-scale Maple libraries. It includes tools...

## Introducing Maple 17

by: Maple 17

Every year at Maplesoft, we continue to pursue our mission of making powerful computational mathematics easily accessible within a friendly environment. Maple 17 is no exception: Hundreds of new algorithms, from differential equations to statistics to signal processing, continue to keep Maple ahead of the curve. At the same time, a wealth...

by: Maple 16

 >

## Application center issues with maplesim apps

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...

## maple 16 mathematica 9

Mathematica 9 was just released Nov 28 which caused me, of course, to have a look to see what wolfram has done in way of comparing itself to maple.

Perhaps we can discuss, compare, debunk, clarify some of their claims or perhaps dismiss the results altogether

Here is one speed comparison chart I came across.  Is it relavent?  It shows Maple 16 as the worst performer.

## RandomTools:-Generate Matrices and lists

by: Maple

I have found very little help about the Generate command of the RandomTools package.

I also have minor gripes about the syntax. And what better way to deal with these than to voice them?

This is how I was able to generate random lists and random Matrices.

A list of 10 random integers between 1 and 100:

L := RandomTools:-Generate(list(integer(range=1..100),10));

L := [47, 8, 46, 44, 9, 77, 59, 16, 1, 70]

## Some Identities from the MRB constant

Maple

As many of you know now the MRB constant = sum((-1)^n*(n^(1/n)-1),n=1..infinity).

Here are some equations involving various forms of that summation.

The first one involves convergent series and is too obvious. The others involve divergent series.

The last two, however, are new!

Let c=MRB constant and a, c~, x, and y = any number.

sum((-1)^n*(c~*n^(1/n)-c~),n=1..infinity)= c*c~.

evalf(sum((-1)^n*(n^(1/n)-a),n=1..infinity)) gives c-1/2*(1-a).

evalf(sum((-1)^n*(x*n^(1/n)+y*n),n=1..infinity)) gives (c-1/2)*x-1/4*y.

And it appears that

evalf(sum((-1)^n*(x*n^(1/n)-a),n=1..infinity)) gives (c - 1/2)*x + 1/2*a.

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