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    Higher Mathematics for external students of  biological faculty.
    Solver-practicum.
    1st semester.
    300 problems (15 labs in 20 variants).
    mw.zip

    Before use - Shake!
    (Click on the button and activate the program and Maplet).

     

    One of the challenges in Linear Algebra is in developing problems, projects, and exercises that are both larger dimensional and student-accessible. Indeed, round-off error, computational complexity, difficulty factoring characteristic polynomials of degree 3 or higher, and similar aspects often mean that any problems or applications of rank 3 or higher are approached solely via technology. 


    However, that same technology can be used to create...

    New versions of Maple T.A. and the Maple T.A. MAA Placement Test Suite are now available. Highlights include:

    - Adaptive questions provide students another chance when they give an incorrect response. Knowing the student is having trouble, the question can be adapted to walk the student through the problem one step at a time, allow students to try a simpler version of the same question before retrying the original, or whatever the instructor feels is appropriate. 

    If I'm not mistaken Maple already had technical interactive documents.  And Mathematica introduced cdf only in mid 2011, however why is there so much hype about cdf and media coverage about it replacing pdf's.  Of course it differs by one letter and probably done so by design.  And if pdf is so popular, then so might cdf be in the future.  Pretty slick and trick marketing by Wolfram if you ask me. 

    Also Maple released the maple Player in...

     


    NULL

    NULL

    Let f(c)= sum((-1)^n*(n^(c/n)-c), n = 1 .. infinity)

    NULL

    NULL

    Then f(1) = the MRB constant:

    evalf(eval(sum((-1)^n*(n^(c/n)-c), n = 1 .. infinity), c = 1)) = .1878596425NULL

    NULL

    NULL

    What if we change the value of c and use Levin's u-transform to compute the values for the analytic extension of the sum?

    Then can we find values for c such that f(c)=c?

     

    evalf(eval(sum((-1)^n*(n^(c/n)-c), n = 1 .. infinity), c = -1.351776595077954)) = -1.351776595 

    evalf(eval(sum((-1)^n*(n^(c/n)-c), n = 1 .. infinity), c = 7.020400867228059)) = 7.020400867

    evalf(eval(sum((-1)^n*(n^(c/n)-c), n = 1 .. infinity), c = 25.58774196597964)) = 25.58880851

    ``

    As an alalytic extension of the sum is there another value for c such that f(c) = the MRB constant? I haven't found one.

    NULL

     

     

    ``


    Download jan022012.mw

     

    Powerful database + Maple = Fun

    Are you struggling to connect Maple with a simple microsoft access database?
    Then after weeks of error messages you finally manage to connect just to
    discover that the datafeed is slow slow slow ie you are driving a Fiat Punto
    when you really should be driving a ferrari!

    Then maybe OpenTSDB http://opentsdb.net/index.html is something for you.
    OpenTSDB is free software...

     

    ``

    Hi.

    Some times ago, I have asked about possibility to solve multilayer transient heat transfer problem.
    The problem was solved originaly by Robert Israel. I enclosed his solution and explanation in file Xpde_oryginal.mw.
    Thank's Robert!


    There was a problem with correct results of numeric PDE in Maple 14 when I have used convection and radiation BC toogather. However Maplesoft have removed this bug in version 15, thus now I have obtained right results...

    I am a little disappointed in the update frequency of Maple. 

    Maple 15 saw one relatively minor update and I don't foresee any more updates for this version before the next release which is unfortunate.  Then again, was Maple 15 refined so good that it didn't need much fixing?  Something tells me no, but please enlighten me otherwise. 

    The threshold for updating seems to be getting smaller and smaller.  What I mean by that is, it seems...

    I have always thought that regressions has been too complicated in Maple. 
    The Fit command is too fiddly ie you have to specify too many things and
    it is easy to get it wrong plus the statistical output you get is far from
    mainstream ie you dont get t-values, p-values, R, R^2, Adj R^2 etc etc.

    I have therefore designed a module called SReg with a new procedure called Reg()
    which only needs one input and that is a datamatrix. It is important however that

    I wanted to set the background color of a plot to black (without axes shown) and figured I could add this to the PLOT structure: POLYGONS([[10,0],[0,0],[0,10],[10,10]],COLOUR(RGB, 0., 0., 0.))

    And that worked fine. But I feel that it ought to be easier.

    Liquid flowing in a pipeline has inertia.  If a valve at the end of the pipeline suddenly closes, a pressure surge hits the valve, and travels through the pipeline at the speed of sound. The damping effect of fluid friction gradually attenuates the pressure wave.

    This phenomenon is called water hammer and can cause damage significant damage, sometimes even rupturing the pipeline.

    The pressure wave often produces audible sound. If you’ve ever heard...

    For your information.

    The growth of the audience of russian Maple site webmath.exponenta.ru
    According bigmir.net

     year        hits          visitors         hosts        

     2010      608 118    193 495     179 328
     2011  ...

    I have come across this previously but I never had the energy to report it.
    The problem is that there exist a bug in Vector[row] when n>10.

    For example run the below code:

    restart:
    with(LinearAlgebra):
    a1 := Vector[row]([seq(w[i], i = 1 .. 5)]);
    a2 := Vector[column]([seq(w[i], i = 1 .. 5)]);

    a3 := Vector[row]([seq(w[i], i = 1 .. 20)]);
    a4 := Vector[column]([seq(w[i], i = 1 .. 20)]);

    a1.a2;
    a3.a4;

       ...

    National Public Radio in the USA carries 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. It's an amusing hour on Saturday mornings.

     

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