MaplePrimes Commons General Technical Discussions

The primary forum for technical discussions.
  restart; interface(version);
    Classic Worksheet Interface, Maple 12.02, Windows, Dec 10 2008 Build ID 377066

  # intended to be used for Reals
  p:= y -> PIECEWISE([-1, y < 0],[1, 0 <= y]);

                               { -1        y <...



In the blog MRB Constant-D I noticed a peculiar outcome to several sets of equations involving f(n) = sin((a+b*floor(n))*Pi/M), where M is a constant to be explored, b is a number to be found and a is a "starting value" that causes f(n) ~=  -1, 0 or 1.

I am studying the Julia sets and Mandelbrot. I know how to generate them. I know how to animate a simple function in the real field but until now not able to animate the Julia sets and the Mandelbrot. Is there any user guide or examples that explaines how to animate these two things in 2-D or 3-D?  I already have the user manual guide and the advanced programming guide downloaded from maplesoft but they do not contain any information or examples about what I am looking for.

Our first article introduced Maple's polynomial data structure and explained how Maple spends a lot of time working with monomials. To multiply polynomials having n and m terms, Maple must construct, simplify, hash, and sort all nm pairwise products to determine what monomials are equal. This work is performed even if the result has far fewer than nm terms, making it a rather inefficient way to multiply large multivariate polynomials. This article describes a new data structure for multivariate polynomials that is being added to Maple for a future release.

sdmp packed arrays

9xyz  -  4yz  -  6xyz  -  8x  -  5

This is the first in a series of short informal articles about our efforts to speed up polynomial arithmetic in Maple. We begin with an example of how polynomials are represented in Maple right now.

Maple sum structure

9xyz  -  4yz  -  6xyz  -  8x  -  5

When you enter a polynomial in Maple, it creates a generic data structure like the one above. In Maple's representation this polynomial is a sum of terms that is 11 words of memory long where each word is either 32 or 64 bits. For each term it stores a pointer to a monomial followed by a coefficient.

Hi all,

I created a fit function (y = a*x^b + c) from a list of x and y experimental data. I would like to calculate the variance-covariance matrix of the 3 coefficients a, b and c but I found that the command variancecovariancematrix works only for the linear fitting. Can you help to solve this problem easily?

Thanks

Topic title pretty much says it all. I can only use Maple (ver. 13.02 aka latest) when I have internet access. Without I can however open the program, but I'm not able to calculate anything or change any settings. Anyone know a fix to this problem?
Hi. I run Maple on 64-bit linux. I have tried to run the same commands from xmaple and maple I do not get the same result. I would very much like to be able to create postscript graphs from the command-line. However the result of the commands at the bottom of the screen is a black graph, which is NOT logarithmic. However when I run the same commands from the xmaple, the results work perfectly - a red graph on a logarithmic plot. The commands are: plotsetup(ps, plotoutput="graph.ps"): plot(exp(x), x=1..20, color=red, axis[2]=[mode=log]);
sum(1/(n^4+n^2+n),n=1..infinity);

  -infinity

                         /   -----                               \
                         |    \                2                 |
        signum(-1 + 1/31 |     )      (4 _alpha  + 13 - 6 _alpha)|)
                         |    /                                  |
                         |   -----                               |
                         \_alpha = %1                            /

         + gamma + 1/31

        /   -----                                               \

Has anyone compared timings of Maple executing under Windows XP and Windows 7? It means, with the same PC and booting in either OS.

The subs command uses variables assigned to values that sub into an equation so the original equation being subbed into is not changed.  Wouldn't it be nice to assign variables during a subs command as well?  I don't really think it adds any value but it would make the command a little more versatile. 

Hi,

This is a bug in v13.01 (I haven't yet tried 13.02). I'm not sure it's related to the proc or recursion but using "Sum" instead of "add" in this case yields the wrong result. I have used "Sum" in recursive definitions before without a problem but this particular one reveals a bug. Given the recursive function:

This first situation may or may not be a bug.

 

restart;

Student[Calculus1][CriticalPoints](x^2, x=-2..2);

interval := -2..2;

Student[Calculus1][CriticalPoints](x^2, x=-2..2);

Student[Calculus1][CriticalPoints](x^2, x=interval);

 

Notice the change in output when the variable "interval" has a value.

The second situation is definitely a big problem:

restart;

ode1:= diff(y(x),x) = y(x)*(y(x)-1)*x;
ode2:= diff(y(x),x) = y(x)*(y(x)-1)*(x-a);

Here is a simple bug:

If I define a function f via

>f:=x->solve(-x*(x+1)+y^(2/x),y);

I can plot(f(x), x=0.2..5) and evaluate f(3) but plot(f,0.2..5) yields an error message ( wrong argument  (f) in plot) and f(1.5) crashes Maple 12–connection to kernel lost.

If I define the function using fsolve or using unapply as in
> g:=unapply(exp((1/2)*ln(x^2+x)*x),x);

I can plot(g,0.2..5) or plot(g(x),x=0.2..5) or evaluate g(1.5) without problems.
 

Any idea whee the bug is?

 

What are some good 3rd party add-ons for maple? 

Maple Advisor Database?  it's a little dated but I think a nice addition.  or Aladjevs library for Maple 2.2013 ? - what does this really add to Maple that it doesn't already have? 

Any comments on those or some other good suggestions?

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