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Hi MaplePrimers,

I've written a function that needs to be evaluated at a bunch of different points.  Evaluating it in a loop works. I'm wondering if there was a faster way to do this because I'm evaluating a list of 400k+ sets of points.  

Right now I'm using a loop with the following code.

for i from 1 to 500000 do 
     Results(i):= f(L[i][])[1];


If I have a function f, which has 5 arguements, f(y, w, x,y,z).

I also have a list of those arguements:  L = [[1,2,3,2,3],[4,5,6,2,3],[7,8,9,2,3]]

What would be the fastest way to get a list of results?  Also, is there a way that I could preallocate memory for this list?

Ideally, I would like to get the output as as list.  ie:

Results:= [[f(1,2,3,2,3)], [f(4,5,6,2,3)], [f(7,8,9,2,3)]]



I am writing a program in C that uses the open maple library. It is not the first time that I use it but now I am facing a strange problem that involves the simplify command: suppose a,x,y are symbols that are not previously used in maple, the following lines

1)  EvalMapleStatement(kv, "simplify((a*x^2-y^2)/(x^2*y^2-1));");

2)  EvalMapleStatement(kv, "simplify((2*x^2-y^2)/(x^2*y^2-1));");

only differ by the fact that the parameter a is replaced by 2 in the second line. But they return the following output:

1) (a*x^2-y^2)/(x^2*y^2-1)

that is correct, nothing to simplify..

2) Error, (in gcd/LinZip) input must be polynomials over the integers

I must be doing something wrong but I am getting nowhere...



P.S. This is the complete listing 


#include <stdio.h>

#include <stdlib.h>


#include "maplec.h"


static void M_DECL textCallBack( void *data, int tag, char *output )





int main( int argc, char *argv[] )


    char err[2048];  /* command input and error string buffers */

    MKernelVector kv;  /* Maple kernel handle */

    MCallBackVectorDesc cb = {  textCallBack,

                                0,   /* errorCallBack not used */

                                0,   /* statusCallBack not used */

                                0,   /* readLineCallBack not used */

                                0,   /* redirectCallBack not used */

                                0,   /* streamCallBack not used */

                                0,   /* queryInterrupt not used */

                                0    /* callBackCallBack not used */


    ALGEB r, l;  /* Maple data-structures */

        char *myargv[]={"maple"};

        int myargc=1;


    if( (kv=StartMaple(myargc,myargv,&cb,NULL,NULL,err)) == NULL ) {

        printf("Fatal error, %s\n",err);

        return( 1 );



EvalMapleStatement(kv, "simplify((a*x^2-y^2)/(x^2*y^2-1));");


EvalMapleStatement(kv, "simplify((2*x^2-y^2)/(x^2*y^2-1));");




    return( 0 );



compiled with

gcc prova.c -I /Library/Frameworks/Maple.framework/Versions/Current/extern/include/ -L /Library/Frameworks/Maple.framework/Versions/Current/bin.APPLE_UNIVERSAL_OSX/ -l maplec

Hello everybody, i need to graphic a couple of functions just like this one:

i have been watching this: VISUALIZATION --> Animation 2

i've tried with (plots) (plottools) animate, etc. but i can't figure out how to do it. 

It would be very helpful if someone explain me how to do this.

Thank you all!

Hello everyone,

I came across an image/photo and thought, It will be fun to try it in maple.

Except plotting a few triangles and circles, I couldn't make it. 

Here is the image. 



Have a look please.



Say I have some function that cannot be changed and it returns this:

all_plots:=display([plot(sin(10*x+0.2),x=0..1, thickness=10, color=blue), plot(1-sin(10*x),x=0..1, thickness=10, color=red), plot(sin(10*x),x=0..1, thickness=10, color=green)]):

Now can plot it as:
plots:-display( all_plots );

...but what if I need the (say) red curve to be "on top" (fully visible), green curve in the middle, and blue curve at the bottom (as is now).

what is the most effective way to do this?


i guess this works:

display([convert(all_plots, list)[1], convert(all_plots, list)[3],  convert(all_plots, list)[2]]);


... lookst like above doesn't keep all the extra options that a plot can have... here is a version that seems to do it.

rearrangeCurves:=proc(v_items, v_reorder:=[])
  #Reorder should be a list of index pairs like
  #[[3,5], [-1, 1], ...]
  local p, temp, curves:=[], rest:=[]:
  #separate curves from rest (there must be a prettier way to do this)
  for p in convert(v_items, list) do
    if type(p,'function') and op(0,p) = ('CURVES') then 
      curves:=[curves[], p]:
      rest:=[rest[], p]:
  #now reorder
  for p in v_reorder do
  PLOT(curves[], rest[]):

#change say second last with last curve:

rearrangeCurves(all_plots, [[-2, -1]]);


I really need help!
please help to solve the boundary value problem by method of shooting.
I never met with this problem and I can not quite figure out how to solve this problem in maple
Thanks for the help!

 the problem

We have just released an all-new, second edition of the Calculus Study Guide.

This guide has been completely rewritten and greatly expanded and to take full advantage of Maple’s Clickable Math approach.  It covers all of Calculus I and Calculus II and has over 450 worked examples, the vast majority of which are solved using interactive, Clickable Math techniques. 

Not only is this guide useful for students learning calculus, but it can also serve as a guide for instructors interested in pursuing a syntax-free approach to using Maple in their teaching.

See Clickable Calculus Study Guide for more information.  For even more information, you could also attend a live webinar about the new study guide next Wednesday.



Hello guys,


I think that the title explains the question very well. Is there any function in MAPLE that allows me to generate N random numbers considering a mean value, standard deviation and a percentile?


Thank you,


I need to export or save my plots during the run out of maple as jpeg or gif but I can not find any command to do it. the only way i found is right click on the plot and then export it but i need program do it by itself during the run.


ode := diff(sqrt(U(t)), t) = sqrt(U__0)-sqrt(U(t))

ics := U(0) = 0

dsolve({ics, ode})


And the result maple returns is U(t)=0 !





This is a link to two sample questions I am trying to learn how to solve using maple. I am using maple student edition of maple. Any help would be great. Thank you.



Maplesoft regularly hosts live webinars on a variety of topics. Below you will find details on some upcoming webinars we think may be of interest to the MaplePrimes community.  For the complete list of upcoming webinars, visit our website.


Hollywood Math (with more new examples!)

Over its storied and intriguing history, Hollywood has entertained us with many mathematical moments in film. John Nash in “A Beautiful Mind,” the brilliant janitor in “Good Will Hunting,” the number theory genius in “Pi,” and even Abbott and Costello are just a few of the Hollywood “mathematicians” that come to mind.

Although the widespread presentation of mathematics on the silver screen is not always entirely accurate, it does serve as a great introduction to the study of mathematics in general. During this webinar Maplesoft will present a number of examples of mathematics in film. See relevant, exciting examples that you can use to engage your students.At the end of the webinar you’ll be given an opportunity to download an application containing all of the Hollywood examples that we demonstrate.

To join us for the live presentation, please click here to register.


Applications of Symbolic Computation in Control Design

You may already use Maple and/or MapleSim within your organization to solve various problems, but did you know that they have capabilities for control design as well? In one of our upcoming featured webinars for this month, we will explore the Control Design toolbox including the ability to extract symbolic equations of plant models, perform symbolic linearization, design symbolic controllers, and generate very fast code for HIL testing.

The following examples will be demonstrated:

• PID Control

• LQR, Kalman filter design

• Gain scheduling

• Feedback linearization

To join us for the live presentation, please click here to register.


I have written a for-end loop and put all the outcomes of the loop in a matrix and now I want to plot these results but for some reason maple won't plot the matrix in a correct way. If I copy-paste the matrix into an new file maple plots it correct. What is the reason that maple won't plot it in my original file?

Here is my file. 

L := 20; Q := 20; n := 8; h := 3; EAv := 1;
Mat := Matrix(10, 2, storage = sparse);
a := 1;
loop L1
for L1 from .6 by .1 to 1.5 do
L1 := L1;
L2 := 2*L1;
L3 := 1.6*L2;
L4 := (1/2)*L-L1-L2-L3;
alfa1 := evalf(arctan(h/L1));
alfa2 := evalf(arctan(h/L2));
alfa3 := evalf(arctan(h/L3));
alfa4 := evalf(arctan(h/L4));
F4 := (1/2)*Q*L4;
F3 := (1/2)*Q*L3+(1/2)*Q*L4+F4;
F2 := (1/2)*Q*L2+(1/2)*Q*L3+F3;
F1 := (1/2)*Q*L1+(1/2)*Q*L2+F2;
w1 := evalf((1+sin(alfa1)^3)*F1*L1/(EAv*sin(alfa1)^2*cos(alfa1)));
w2 := evalf((1+sin(alfa2)^3)*F2*L2/(EAv*sin(alfa2)^2*cos(alfa2)));
w3 := evalf((1+sin(alfa3)^3)*F3*L3/(EAv*sin(alfa3)^2*cos(alfa3)));
w4 := evalf((1+sin(alfa4)^3)*F4*L4/(EAv*sin(alfa4)^2*cos(alfa4)));
kkm := (w1-w2)^2+(w2-w3)^2+(w3-w4)^2; Mat(a, 1) := L1;
Mat(a, 2) := kkm;
a := a+1
end do;



Updates are now available for both Maple 18 and MapleSim 6.4.

Maple 18.01 includes a variety of enhancements, including:

  • Significantly enhanced  efficiency for many  numerical linear algebra computations
  • New keyboard shortcuts for “Execute All” ([Ctrl or Cmd]+[Shift]+[Enter]) and for entering slideshow mode ([F11] or [Cmd]+[F11])
  • Improved export of 2-D plots
  • PDF export improvements for documents that include  code edit regions
  • Enhancements to the limit command

 To get this update, you can use Tools>Check for Updates from within Maple, or visit Maple 18.01 Downloads.

MapleSim 6.4.01 includes:

  • Improvements to the templates for creating custom components using discrete state space and discrete transfer function descriptions
  • Improved handling of variable names that include both symbols and numbers
  • UTF-8 filename support
  • Improved backwards compatibility of the Parameter Inspector with older models


In MapleSim, use  Help>Check for Updates or visit MapleSim 6.4.01 Update. For best performance, we recommend that you run MapleSim 6.4.01 with Maple 18.01.



This is the first presentation of updates for the DE and Mathematical Functions programs of Maple 18. It includes several improvements, all in the Mathematical Functions sector, as well as some fixes. The update and instructions for its installation are available on the Maplesoft R&D webpage for DEs and mathematical functions. Some of the items below were mentioned here in Mapleprimes - you are welcome to present suggestions or issues; if possible they will be addressed right away in the next update.

  • Filling gaps in the FunctionAdvisor regarding all the 6 complex components: abs, argument, conjugate, Im, Re, signum, as well as regarding Heaviside (step function), Dirac, min and max.
  • Fix the simplification and differentation rule for doublefactorial
  • Make convert(..., hypergeometric) work the same way as convert(blabla, hypergeom)
  • Implement integral forms for Heaviside(z) and JacobiAM(z, k) via convert(..., Int)
  • Implement appropriate display for the inert %intat function as well as its conversion to the inert Int
  • Make the FunctionAdvisor/DE return not just the PDE system satisfied by f(z, k) = JacobiAM(z, k)and also (new) the ODE satisfied by f(z) = JacobiAM(z, k)
  • Fix conversion rule from Heaviside(z) to Sum
  • Fix unexpected error interruption when differentiating min(...) and max(...) containing more than three arguments
  • Fix issue in simplify/conjugate
  • Improvement in expand/int: factors in disguise are put outside the integration sign
  • Various improvements in the case of multiple integrals involving the Dirac function
  • Make Intat fully inert (before it was evaluating its arguments)
  • Make value of inert indexed objects work

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

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