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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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  • The folks at Grand Valley State University have posted a nice set of Maple tutorial videos on YouTube.  The videos have been designed for students taking 200-level math courses, but they are certainly suitable for anyone who is either new to Maple, or looking for a refresher.

    Enjoy!

    http://www.youtube.com/playlist?list=PL81C1945FA962279F

    Bryon

    @ThU

    Download Quaternion_Fractals_.mw

    Not in the same league as the "Mandelbulb" pictures you may be referrng to, but a couple of years ago I messed around with plotting 3D Quaternions in Maple. Pictures in the attached worksheet

    Samir

    I've submitted an application to the Application Center: Great Expectations.  This is an interactive Maple document, suitable for instructional use in an undergraduate course in Probability.  The mathematical content is related to the Laws of Large Numbers and Central
    Limit Theorem.  It requires no knowledge of Maple to use.

    I'm happy to announce that, having retired from University of British Columbia, I've joined Maplesoft as a Content Developer.  Some of my work will be appearing in the Application Center from time to time, and I'll announce them here.  If you have any suggestions for topics you'd like to see in the Application Center, I'd be interested in seeing them.

    The iPad is a very exciting device and it has been gaining broad adoption from our academic and professional customers alike. It was a logical step for us to bring Maple technology to this platform.
     
    The Maple Player for iPad is now available in the Apple App Store. It comes bundled with ready-made interactive Maple documents, covering topics like integration, differentiation, computing...

    Syrup-0.1.8.zip is a rewrite of the Syrup package, an electric circuit solver for Maple.  It reads either a SPICE-like syntax, or a compact ladder notation.This update runs on Maple 15. I've added a few features, such as the ability to export to Modelica, which can be used with the ?MapleSim product.  Also added are two new controls,

    No, I'm willing to bet it's about as random as flipping a coin.  You might say, huh?!  I think my theory is interesting but this isn't really a maple question although perhaps we can make it into one, it would be that much more interesting.  I haven't done so yet, but anyone is welcome to.

    With practice, I can flip a coin and get 30 heads in a row no problems.  Now say for a roulette wheel operator who uses it constantly, you don't think he's gained...

    I have uploaded to the Maplesoft Application Center a worksheet exploring the orbital dynamics of the recently discovered Kepler 16 system, where a planet orbits a double star. 

    Your comments and suggestions will be appreciated.

     I would like to pay attention to the article "Exploratory Experimentation and Computation" by David H. Bailey and Jonathan M. Borwein just published in Notices of AMS, 2011, V. 58, N 10, 1410-1419
     ( http://www.ams.org/notices/201110/rtx111001410p.pdf ) . It should be noted that Maple is one of the leading characters of this article.

    I was digging through my old worksheets and came across something I created for one of my projects I never finished or well am still intending to work on.  Anyways I had come across a plot created in Matlab and noticed Maple didn't have an option to create gridlines in the axis on a 3d plot like Matlab did (at least I think it was Matlab) in any case I tried to mimic the same thing in Maple as exactly as I could.  The below is the groundwork I came up with and I...

    Today we've lost computing pioneer Dennis Ritchie. For those not familiar with Dr. Ritchie, he was the co-inventor of the Unix operating system (with Ken Thompson), and the C programming language (with Brian Kernighan), both of which are an integral part of Maple's history.

    When Gaston Gonnet implemented the very first version of the Maple kernel, he wanted to do it in the then-new C language, for the hardware and operating system independence that it provided. Unfortunately,...

    I was recently looking at rotating a 3D plot, using plottools:-rotate, and noticed something inefficient.

    In the past few releases of Maple, efficient float[8] datatype rtables (Arrays or hfarrays) can be used inside the plot data structure. This can save time and memory, both in terms of the users' creation and manipulation of them as well as in terms of the GUI's ability to use them for graphic rendering.

    What I noticed is that, if one starts with a 3D plot data structure containing a float[8] Array in the MESH portion, then following application of plottools:-rotate a much less efficient list-of-lists is produced in the resulting structure.

    Likewise, an effiecient float[8] Array or hfarray in the GRID portion of a 3D plot structure gets transformed by plottools:-rotate into an inefficient list-of-lists object in the MESH portion of the result. For example,

    restart:
    
    p:=plot3d(sin(x),x=-6..6,y=-6..6,numpoints=5000,style=patchnogrid,
              axes=box,labels=[x,y,z],view=[-6..6,-6..6,-6..6]):
    
    seq(whattype(op(3,zz)), zz in indets(p,specfunc(anything,GRID)));
                                hfarray
    
    pnew:=plottools:-rotate(p,Pi/3,0,0):
    
    seq(whattype(op(1,zz)), zz in indets(pnew,specfunc(anything,MESH)));
                                  list
    

    The efficiency concern is not just a matter of the occupying space in memory. It also relates to the optimal attainable methods for subsequent manipulation of the data.

    It may be nice and convenient for plottools to get as much mileage as it can out of plottools:-transform, internally. But it's suboptimal. And plotting is a topic where dedicated, optimized helper routines for some particular data format is justified and of merit. If we want plot manipulation to be fast, then both Library-side as well as GUI-side operations need more case-by-case-optimizated.

    Here's an illustrative worksheet, using and comparing memory performance with a (new, alternative) procedure that does inplace rotation of a 3D MESH. plot3drotate.mw

    Rereading this old thread, it's nice to see that some of the wishes for Maple 15 were indeed implemented. I suppose it's a little too late to wish for Maple 16 if it is indeed scheduled for release this coming Spring, but how about our wishes for Maple 17?

    Russian Center of Maple.
    02.X.2011
    3.000.000 visits in 16 months.

    http://webmath.exponenta.ru/

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