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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  • We are proud to announce you about the new feature in the Maple Programming Environment - Importing existing MPL files into a Maple Project.

    You can update Maple Programming Environment using Update Manager mechanism in the Eclipse.

    The following article briefly introduces the migrating process using the new import wizard,...

    Maple Programming Environment (MPE) is the only Eclipse™ based efficient development toolkit to rapidly build standout applications for Maple.

    MPE harnesses the flexibility of Eclipse and focuses it into a powerful Maple development engine.

    MPE includes multiple productivity-boosting features, which spare you from tedious routine, time loosing and keeping your focus on your ideas.

    Dear friends,

    while working with Beta function integrals like int_0^1 x^(7/23)*(1-x)^(16/23) dx I noticed that Maple does not seem to know about the following Beta function identity:

    Beta(m+q, n+1-q) = Pi/sin(Pi*q)*mul(r+q, r=0..m-1)*mul(r+1-q, r=0..n-1)/(m+n)!

    where m,n are positive integers and q is a real number so that 0 < q < 1. This is easy to prove and there...

    Recently, a Maplesoft customer service representative received an e-mail from one of our users with the subject line: A Simple Thank You. We wanted to share this message with you, as it demonstrates how the power and flexibility of Maple helped one student get ahead in his studies.

    The following is an actual email we received from Eli E., which describes his experience using Maple as a university student.

    Hello, my name is Eli...

    Some time ago, I posted a two-letter-words quiz for Scrabble players. That one is particularly useful to beginner players wanting to increase their scoring opportunities. I've created another worksheet for those looking for a greater challenge. This one tests your knowledge of the three-letter words that can be created from the valid two-letter words. Enjoy!

    In it's recent edition of Mathematics Today (in print and online), the UK-based Institute of Mathematics and it's Applications, compared 4 symbolic solvers: Maple 15, Mathcad 15, the student edition of Matlab v5 and the Casio CFX-9970G calculator, concluding that "Maple would be the natural choice for research mathematicians, theortetical physicists, those working in any area where mathematics is demanding or for mathematics undergraduates for whom costs are lower"

     

    Revision Note:
    I have updated the graph in the attached Maple document based on Doug Meade's comment below.
    CarTalkPuzzler_9-22-.mw 

     

    Car Talk, a humorous phone-in program in which Tom and Ray Magliozzi (Click and Clack, the Tappet Brothers) diagnose and offer solutions for mysterious auto-related maladies, is carried by National Public Radio...

    There are two interesting threads about definite integration on the usenet group comp.soft-sys.math.maple posted in the past few days.

    The first thread is more about the wrong result coming out of Maple's int command when computing via its `MeijerG` method. Motivating examples there include

    int(cos(t)/(1+t^k), t=-infinity..infinity);      # for k=10,12,14,...

    The poster demonstrates using residues to obtain a terse result.

    In the second thread the poster examines the ideas that the solutions involving RootOfs (as returned by the `ftoc` method) may suffer from numerical difficulties during floating-point evaluation and are unnecessarily complicated when re-expressed in terms of more standard functions (ie. allvalues, then simplification...).

    For those interested, an existing `contour` method exists within `int`. It is not very strong however. One can examine its source using commands such as,

    showstat(`int/definite/contour`);
    
    showstat(`int/definite/contour/def1`);
    

    etc.

    See also Methods of contour integration on wikipedia.

    My answer in this topic does not load for some reason, so I had to create this post.

    Variant of solution:

    Following on from the 3D plots of the Earth globes in comments to an earlier post, here's some hacky code to grab longtitude and latitude.

    (nb. This code attempts to send the IP address of your primary DNS to www.geobytes.com so don't run it if you don't want that action.)

    if kernelopts(platform)="windows" then
       res:=ssystem("ipconfig /all"): res:=res[2];
       StringTools:-Search("Primary Dns Suffix",res);
       ans:=StringTools:-Split(res[%+36..%+70])[1];
    else
       ans:=ssystem("hostname -y"...

    Recently, I published the following paper.

    "Calibration of a radiocarbon age", Nonlinear Processes in Geophysics, 19: 345–350 (2012).

    The paper explains that all radiocarbon dates are inaccurate, due to an error in the handling of the statistics.

    The paper has a Supplement, which includes a program to do the statistics correctly:

    We have been using MapleTA for many years (since version 1.5) and have version 8 hosted on a Maplesoft server. Recently, we looked into buying the Blackboard connector. It is disappointing that we have not been able to go through with this because of an inadequacy in the connector. As I understand it from our technicians, in Blackboard a course is identified by four attributes ID, year, calendar and title. These account for different presentations of the same course in different...

    Eleven new Clickable-Calculus examples have been added to the Teaching Concepts with Maple section of the Maplesoft website. That means some 74 of the 154 solved problems in my data-base of syntax-free calculations are now available. Once again, these examples and associated videos illustrate point-and-click computations in support of the pedagogic message of resequencing skills and concepts.

    This message has been articulated in ...

    This post is a further exploration of the optimization problem of finding a point on f(x) = sinh(x) - xe-3x closest to the point (1,7).  The problem is part of our Teaching Concepts with Maple web site, a collection of video examples and Maple worksheets designed to illustrate how Maple can be used to generate...

    I guess there is a limit bug here somewhere.  With MultiSeries things are OK...

    L:=(x*BesselI(k-1, x)+x*BesselI(k+1, x))*BesselI(-k, x);
    L := (x BesselI(k - 1, x) + x BesselI(k + 1, x)) BesselI(-k, x)
    simplify(limit(L,x=0)) assuming k>0;
    0
    with(MultiSeries): simplify(limit(L,x=0)) assuming k>0;
    2 sin(Pi k)
    -----------
    Pi

    BesselLimit.mw

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