> f:=x->x*sqrt(1-cos(Pi/x));

> limit(f(x),x=infinity);

> L:=n->limit(f(x^n),x=infinity);

I did that for matrix inversion:

Here is some stuff for doing that by calling Maple from Excel. The reason is that one could care for extreme cases, where a really good precision is needed. I included an example how to switch to rationals, where the inversion can even be done exactly (do not use it for dimensions to high and then it would be better to do it solely in Maple + cut&paste).

To use it one must have Maple installed (I think at least version 8...

Maplesoft has just created a new promotion Tell Us Your Story. If you submit a story about how Maple and other products have helped you out, you can win an iPod. Free iPods will be given to three randomly selected people who submit their story here. http://www.maplesoft.com/community/user_experience/ Here is the text from the page: Has any Maplesoft product helped you? Tell us about it! You could win an iPod! Maplesoft is always looking for great ideas and techniques from our user base. If Maple or any of our other products has helped you work more efficiently, creatively, or just simply better with your mathematics, we want to hear from you.

 

Update: The contest has ended. Thank you for your submissions.

First time to this blog but I need help. I don't use Maple myself but I have many users that do and they are reporting to me that when using Maple 10 (with or without patch), if they go on to another application and then maximize the Maple again, it will cause the computer to re-boot. Has anyone out there run into this problem before? My users are using a 3.2 Ghz processor running WinXP SP2 with 1GB RAM and an 80 GB hard drive. They all say they have noticed this problem only with Maple! Help! Many thanks.

With this Generation of MapleStudio you can also plot complex functions in 2D and also 3D. For doing this, MapleStudio uses the conformal and the conformal3d comands of Maple 10. The following example will show you, how it works.

How to you take sin of a matrix?

MaplePrimes own Jim Herod has a wonderful set of lecture notes—accompanied by a collection of Maple worksheets—which introduce linear operators on infinite-dimensional Hilbert spaces to beginning graduate students in science and engineering. Entitled Linear Algebra, Infinite Dimensions, and Maple, these notes were developed from a one quarter course which Prof. Herod taught many times at the Georgia Institute of Technology. The notes are very concise and have been refined and improved many times over the years in response to student feedback.

FYI, there are MathML character entity errors in Maple 10. This causes problems when copying MathML output from Maple into other programs that expect valid MathML. I only checked the Greek character entities, as that's where I was running into bugs. The incorrect entities as output by the Maple MathML[ExportPresentation] command and the corresponding correct MathML entities from http://www.w3.org/TR/REC-MathML/chap6/byalpha.html are (lower and upper case Greek characters only):

dcasimir asks for an efficient way to create a list of the first n primes, without invoking nextprime, etc. An easy way to do this is to use a do loop to build up a sequence term by term. However, as Alec points out, this is not an efficient technique in Maple. It runs as O(n^2), where n is the number of items in the sequence. A way to avoid the inefficiency is to forego building a sequence and instead insert the items into a table. Then, after exiting the loop, convert the table to a list.

Dr. Sarah J. Greenwald, Appalachian State University, and Dr. Andrew Nestler, Santa Monica College have put together a site about mathematics and The Simpsons,including an exhaustive list of all math references on the show, relevant images, and the math background of the writers. They use this material to introduce concepts, motivate students and reduce math anxiety, apparently. Aside from its potential educational value, it's fun. See Simpson's Math. eithne

My thanks to Prof. Meade and Prof. Harrington for their suggestions on how to increase "maxmesh" or "abserr". Prof. Harrington's suggestion about adding 'maxmesh=500' as an option in dsolve didn't pan out, but I'll try other numbers--I understand the maximum is about 8000 plus. Prof. Meade's suugestion about adding "abserr=1e-4" also didn't pan out (on my Maple 9.5--Prof.Meade seems to be using Maple 10,though this shouldn't make a difference,methinks!) However,adding abserr=1e-3 as an option to dsolve DOES work! Very strange indeed. Anyway,I've got my graph,and thanks again to Prof. Meade et al.

The Maple V Share Library was a wonderful facility for mathematicians comprising some 140 Maple routines, packages and worksheets written by Maple users and contributed freely to the Maple community. John Maplenut has written a short program which allows the Maple V Share Library for Windows to be accessed directly from all versions of Maple up to and including version 10. You can access the Package from the Maple Application Center or from John Maplenut - Updated Maple V Share Library.

I just push the last version of my sheet "proba4maple" dedicated to discrete probabilistic computations on my SourceForge hive.

Robert Israel's homepage contains a number of useful Maple resources, including the Maple Advisor Database.

As this community seems to be developing quite nicely, I thought it might be nice to figure out where the users of Maple are. So I have created a Maple map on frappr, a new community mapping service. Add yourself!