MaplePrimes Posts

MaplePrimes Posts are for sharing your experiences, techniques and opinions about Maple, MapleSim and related products, as well as general interests in math and computing.

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  • I teach some mathematics subjects to students studying a computer science course. Most of these students dislike maths (I'm Australian, hence "maths" instead of "math"), and are doing it only because it's a core subject in their first year. I should also point out that many of my students have a very weak maths background, and so find the maths that I teach (which over a year covers logic and boolean algebra, some combinatorics, and linear algebra and calculus) very difficult and demanding, and often simply dull. I've been using Maple for about four or five years now; each week the students work through a sheet of Maple exercises (which are all marked) designed to enhance their learning. But here's the thing - the students actually don't like Maple! They would much rather spend that hour having a standard tutorial, working through pencil-and-paper problems, than in a computer lab with Maple. So I need to change my approach; to somehow make Maple more central, more enjoyable, and more "enhancing" than I've been doing up to now.
    Hopefully this is fun ... Recently in doing a bit of research for a marketing project (yes, I research math for marketing projects), I ran across this 10 Greatest Mathematicians list. I am not certain, how credible the author's analysis is but thought this crowd would be perfect to offer some insight into this very interesting question -- "Who was/is the greatest mathematician of all time?". The 10 choices are from the original Web site and are listed in alphabetical order. Comments more than welcome ... almost mandatory :-)
    I would like to see some print functionality for the mapleprimes website. Now when you print a forum topic, the sidebars are printed as well, resulting in an ugly page where not a lot of space is left for the real content. It should suffice that an alternate print stylesheet is added in which the sidebars are hidden. I hope this is worth considering. -- Regards, Franky.
    The Maple 10 Quick Reference Card is now available as a downloadable, printable version from the Maplesoft website. UNIX, Macintosh and Windows versions are all available. http://www.maplesoft.com/support/faqs/Maple10/General/qrc.aspx The quick refernce card is also available with Maple 10 in electronic form and contains a summary of important concepts and commands. To see the Quick Reference Card inside Maple, go to Help>Quick Reference.

    Here is a nice video that "might" be helpful to students learning about Pi. It is a rap music video created by a public television station in Boston. It has to be seen to be believed, and it is quite funny.

    Link

    I've released a Maple implementation of the F4 algorithm for computing Groebner bases. You can download it from the Maple Application Center here, or from my personal webpage here. The code requires Maple 10. It's faster than the Groebner[Basis] command for total degree orders, and it can be run in non-commutative algebras too. The coefficients are restricted to rational numbers or the integers mod p with p
    When you try to differentiate a Maple expression with respect to one of the constituents (of expression) which is not simple atomic symbol, Maple could not perform operation, e.g. > diff( sin(x(t)), x(t)); Error, invalid input: diff received x(t), which is not valid for its 2nd argument . One solution to handle this problem is described in book (Maple book Chap.12)of Walter Ganz (Walter Ganz). In his trick structured symbol is temporarily replaced (via substitution) with a local variable, differentiation is performed with respect to local variable and finally local variable is replaced with original structured symbol.
    I came across this cool site created by Justin Mullins of the New Scientist. The site contains artwork created by mathematical expressions. The creator describes it as Mathematical Photography, "In the same way that an ordinary photograph is a snapshot of an area of outstanding natural beauty, a mathematical photograph is a snapshot of mathematical beauty."
    There are many examples to be seen on the site. And they will be shown at the UK gallery exhibition in London next February. Link (via Boing Boing)
    Today I try to solve a simple ODE: dot{x(t)}=sin(x(t)). Maple gives me the below answer: x(t) = arctan(2*exp(t)*_C1/(1+exp(2*t)*_C1^2), (-exp(2*t)*_C1^2+1)/(1+exp(2*t)*_C1^2)) How comes the arctan function takes two arguments? I solved the equation by myself, and a simple manipulation result in the follwoing result: x(t)=2arctan(C*exp(t)) How can maple end by a 2-argument arctan function?? Help...
    Suppose you want to sort a list L ( of numbers ) and also determine order of elements as a list of indices corresponding to elements of original list L, that is, you want such a integer list "I" that "seq(L[I[j],j=1..nops(L))" to be equivalent to sorted list. This functionality is present in MATLAB in "[B,IX] = sort(...)" syntax and i come up with this problem while trying to convert a MATLAB function (GaussQuadratureWeights) to maple. The procedure described resolves problem using a few MAPLE commands including MAPLE's built-in sort function.
    Hi, All,

    Please see below:

    > restart:
    > with(DEtools):
    > deq := diff(y(x),x,x) = A*exp(y(x)/vt);
    > deq2 := diff(y(x),x,x) = A2*exp(y(x));

    > #y := unapply(rhs(dsolve(deq,y(x))),x);
    > y2 := unapply(rhs(dsolve(deq2,y(x))),x);

    If I let two dsolve go, it gives error message for the second. However, commenting one and letting one go will always works perfectly. What's the problem, any bugs inside Maple. I tried in Classic Maple and Maple 10. same problem happend.

    Thanks.

    David
    Yes they do but it is still very much a community driven site. Maplesoft staff are free to contribute but we do not have dedicated staff other than the the group that manages the site function itself. See here for more comments.

    See here.

    This is more of a question than a suggestion. My experiences with this site have all been positive, and I'm extremely grateful for the wonderful service provided by the staff members. I understand that a lot of the questions posted sometimes require a good deal of time and effort to answer. However I'd like to know why some "Newbie Questions" are answered only after hours, and some after a few days ? Is there a system or is it just the luck of the draw ? It also seems like there are a few staff members on this site to handle this heavy load. My question / suggestion is whether or not there is some possible way to address this issue, and if this issue is actually being addressed currently ?
    Consider the task of sorting a list of complex floating-point numbers by magnitude. First Attempt The usual method to do this in Maple is with the sort procedure. By passing a boolean-valued function that computes then compares the magnitudes of two complex numbers, we can sort the list. The following procedure shows how this is accomplished.
    sort1 := proc(L)
        return sort(L, proc(z1,z2) abs(z1) <= abs(z2) end proc);
    end proc:
    
    A disadvantage of this approach is that the absolute-value procedure is called twice every time a pair of numbers is compared. For a long list, the time spent in the absolute value routine dominates the computation time.
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