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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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  • Has anyone tried the technique used here, to run Maple 12's 32bit Classic GUI with the 64bit Maple 12 kernel binaries, on Linux?

    Should I try and update it to work with Maple 11 or 12?

    It looks like some symlinks would have to change or be added, relative to the way that I did it for Maple 10.

    Has anyone ever tried to do a similar thing on 64bit Windows?

    Dave L

    How do I send a message to the author of an entry?  Presumably I can click the "Send message" link in the Navigation pane on the left side of this website, however, doing so means that I have to first figure out what the "handle" is for the person I want to contact.  Previously there was a "send message to author", or something equivalent, link in each of the posts; has that gone away?

    In this post I would like to kindly ask users of this package (if there are any) for a feedback. Please, add a comment to share your experience with FourierTrigSeries package (how do you use it) and suggest new features or report bugs.

    Yesterday  the Maple 12.01 update installed on my computer.

    Today, Maple 12.01 Standard does not start. Nothing happens, And after many minutes, nothing continues to happen (Douglas Hofstadter).

    Maple 12.01 Classic starts--really fast.

    Maybe it's the update. The other intervening factor was the very recent critical Windows secruity update.

    Does anybody have a similar experience?

     

     

      Int(phi(u-a*I)*exp(k*u*I),u = -infinity .. infinity);
      Change(%, u-a*I = s, s); subs(s=u,%): expand(%): combine(%,exp);
    
                       infinity
                      /
                     |
       ...

    The following would appear to be a pretty straightforward improper integral for Maple to handle:

    q := Int( 1/x^p, x=1..infinity );
                                    /infinity      
                                   |          1    
                                   |          -- dx
                                   |           p   
                                  /1          x    
    

    Things start of well, with Maple recognizing that the answer depends on the value of p:

    value( q );               # fine
                             /   (-p + 1)                  \
                             |  x         - 1              |
                        limit|- -------------, x = infinity|
                             \      p - 1                  /
    

    The first case is when p>1:

    value( q ) assuming p>1;  # good
                                          1  
                                        -----
                                        p - 1
    

    The other case should be for p<1:

    value( q ) assuming p<1;  # say what?
                                infinity p - infinity
                                ---------------------
                                        p - 1        
    

    Maple 12.01 is now available. The Maple 12.01 update includes enhancements in a variety of areas, including:

    • Differential equations and differential algebraic equations: Numerous enhancements to performance of numerical solvers
    • MATLAB link: Extended to include support for MATLAB 2008b
    • Language packs: Updates for Spanish, Brazilian-Portuguese, Greek, Japanese, and Chinese
    • Plotting:
      • Improved behavior in plot3d when using numpoints and grid options
      • The plots[display] command now handles dual-axis plots inside array plots
    • Graph Theory: Context-sensitive menus updated to include more graph theory commands
    • Other improvements were made in:
      • Numeric integration
      • Physics package
      • SolveTools package
      • ArrayTools package
      • Debugger

    Modern software tools should allow engineers to design, develop and test their designs before a single part is sent to the prototyping shop. So why is it not happening? Why are hundreds of prototypes manufactured, tested and then rejected? Why is so much time wasted at the testing and then redesigning stage?

    Individually, the components for the ideal virtual prototyping tool are available, but they have not yet been wrapped up into a single integrated environment that’s based on design principles that engineers find intuitive.

    Why is that?      

      restart; interface(version);
    
        Classic Worksheet Interface, Maple 12.00, Windows, Apr 10 2008 Build ID 347164
    
      Int(1/(u^2+1/4)*exp(I*u*k),u=-infinity...infinity); value(%);
    
                                      0
    
    but
    
      Int(1/(u^2+1/4)*exp(I*u*k),u=-infinity...infinity...

    [I am using Maple 12.01 with Windows XP].

    I tried to use gfun[listtorec] to find a recurrence for a particular sequence (given below), but the recurrence found is not correct.
    Yet,  guessgf apparently gives the correct generating function.

    >with(gfun):
    >L:=[5, 8, 14, 24, 42, 72, 126, 216, 378, 648, 1134, 1944, 3402, 5832, 10206, 17496, 30618, 52488, 91854]:
    >rec:=listtorec(L,u(t));
                   [{-u(t + 2) + 3 u(t), u(0) = 5, u(1) = 8}, ogf]
     

    For the last couple of weeks, I’ve been flying around the world on a press tour … sounds glamorous doesn’t it? Images of Brad Pitt or Prince William come to mind? Well, any similarities between a Brad Pitt press tour and one that I’m involved in is purely coincidental (if not miraculous). So what does one do on a Maplesoft press tour?

     Well, as it turns out, there actually is a fairly active community of journalists from far and wide who have a particular interest in recent developments in engineering and mathematical computing. And every year or so, we like to meet the press face to face to keep the lines of communication open between the company and these influential people of letters. This year, my tour took me through key regions in the US, UK, and Germany.

    It looks like `forget` works on procedures with option 'cache'.

    I realize that there is a routine Cache:-RemovePermanent. But should `forget` be clearing the permanent Cache entries for a procedure?

    > cacheFunc := proc() option cache; print(args); args; end proc:
    > Cache:-AddPermanent( cacheFunc, [5], 10 );
    > op( 4, eval(cacheFunc) );
                          Cache(512, 'permanent' = [5 = 10])
     
    > forget(cacheFunc);
    > op( 4, eval(cacheFunc) ); # NULL return, it's empty
    

    One of our TAs reported this to me earlier today. (A student reported it to him.)

    Sum(sin(1/10000.0*i^2), i = 0 .. 199):
    %, value( % ), evalf( % );
                199                                                   
               -----                                                  
                \                                                     
                 )      /                 2\                          
                /    sin\0.0001000000000 i /, 80.85387129, 127.2891137
               -----                                                  
               i = 0     
    

    The student used evalf. I suggested that value was a better first option in this case. Since this is just the sum of a fixed set of numbers, an even better alternative is to use add:

    add(sin(1/10000.0*i^2), i = 0 .. 199);
    
                                     80.85387132

    The problem disappears when Digits increases to (at least) 15.

    The following example was shown to me by Matthias Kawski.

    He noticed a difference in the way Maple 12 handles some definite integrals from the way they were done in Maple 8. Both cases point out some problems. I'll offer my explanation of the problem after I show what Matthias observed: First, the results from Maple 8. Each of these 4 examples evaluates a definite integral in two different ways, the first using a function and the second using an expression. All looks fine until the last example.

     

    Hi there ! The attached worksheet has a good review on the theory of Limits and Continuity of functions that have two or more variables.

    The attached worksheet has a specially designed tool that helps you evaluate the limits of really complicated multivariable functions.

     

    Please feel free to ask questions.

    Limits_and_Continui.mw

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