Maple Questions and Posts

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It want to generate all the words from a NL-letter alphabet and whose lengths are at most LW.

I could not find any function in the combinat package do to that (at least without combining some of them, I'm using Maple 2015 right now); maybe the Iterator package has some features do to that?

For the moment I use this procedure (which generates a few words of length LW+1 I have to suppress)

G := proc(d)
 local n, wo:
  global W:
  while max(length~(W)) < d do
    wo := copy(W):
    for n from 1 to nops(L) do
      W := {W[], cat~(wo, L[n])[]};
    end do:
  end do:
end proc:

# Words of length not larger than LW which are made of at most NL letters

NL := 3:
L  := StringTools:-Char~([$65..65+NL-1]);
W  := L:
LW := 3:

w3 := W;
                        ["A", "B", "C"]

{"A", "AA", "AAA", "AAB", "AAC", "AB", "ABA", "ABB", "ABC", "AC", 

  "ACA", "ACB", "ACC", "B", "BA", "BAA", "BAB", "BAC", "BB", 

  "BBA", "BBB", "BBC", "BC", "BCA", "BCB", "BCC", "C", "CA", 

  "CAA", "CAB", "CAC", "CB", "CBA", "CBB", "CBC", "CC", "CCA", 

  "CCB", "CCC"}

W  := L:
CodeTools:-Usage( G(12) ):

memory used=0.62GiB, alloc change=422.58MiB, cpu time=13.70s, real time=8.37s, gc time=8.08s

Do you have any idea to improve it from memory used and cpu time points of view)?

Thanks in advance

How should I find the roots for


If I have a Polynomial of the form say 

c1x^{a1} y^{b1} +c2x^{a2} y^{b2} +... +cnx^{an} y^{bn}

Now I want to form a list say of the form


L=[[[a1, b1], c1], [[a2, b2], c2],.... [[an, bn], cn]] 


Kind help with a peice of code 



Have the following integral to solve in Maple (2020):

Cap_Unit_Length := int((epsilon_0*epsilon_r*d*sqrt(1+(T*Pi*S)^2))/(epsilon_r*S*theta*tan(theta/2)+2*t),theta=0..Pi);

As Maple cannot find a closed expression, it returns the original input.  Is there any other approach in Maple I can use to attack this expression?  BTW, this is the expression for the distributed capacitance in a twisted wire pair.



I would like to make a function of two variables. It seems that what I can find online on how onthers do it, does not work with my. Can someone help? Here is the document, but it is very simple.

Dear all

I would like to plot two different functions

One constructed using piecewise and second function on the sme interval. 

The code run without error but I am not sure that its true, since we have two different function but in the graph we can not see the difference betweem them

Thank you for your help

Dear all
I have a problem using unapply to construct all functions defined in each intervals.
If I use unapply to construct only two peicewises fuctions the code work well, but otherwise there is someting missing

## using code like this, its run 
                  ( piecewise
                    ( x < eval( Xlist[2], NaturalCoeffs),
                      expand( eval( S[1], NaturalCoeffs) ),
                                           expand( eval( S[3], NaturalCoeffs) )

but using code like 

                  ( piecewise
                    ( x < eval( Xlist[2], NaturalCoeffs),
                      expand( eval( S[1], NaturalCoeffs) ),
                     ( x < eval( Xlist[3], NaturalCoeffs),
                      expand( eval( S[2], NaturalCoeffs) ),

                      expand( eval( S[3], NaturalCoeffs) )
does not run and return 
Error, `;` unexpected

Thank you for your help 

Hello, I was recently given a Calculus 3 assignment on Maple. Having no training or teaching, I watched videos and looked up possible routes to finding the solution. I have been working on this assignment the past couple days and could really use some help. The questions I am struggling with are posted below:

Equation given: r(t) = cos(t^3)i + sin(t^3)j + 2t^2 k

1. Use Maple to graph the tangent line at t = 0.8, and the path of the particle from t = 0 to t = pi/2 on the same graph. The line segment for the tangent line should be symmetric about the point of tangency.

2. Find the unit binormal vector when t = 0.8

3. Use Maple to find the normal vector when t = 0.8

4. Find the torsion when t = 0.8

5. Use Maple to graph the unit tangent vector at t = 0.8, the unit normal vector at t = 0.8, the binormal vector at t = 0.8, and the path of the particle from t = 0 to t = pi/2 on the same graph. All the vectors should have the particle's position at t = 0.8 for their initial point. (You are really graphin line segments of length 1.)



Let A a (linear) partial differential operator and f=f(x, y, t) a function of space (x, y) and time (t).
Let DXY=[a, b] x [c, d], DT=[0..e] and  dXY the boundary of DXY.
Is it possible, with Maple 2015, to solve numerically the pde Af=0 in the open domain  DXY * DT
with Dirichlet conditions on dXY and initial condition f(DXY, 0)?
It seems that the option 'numeric' of pdsolve doesn't work with more than 1 "non time" independent variable:
Error, (in pdsolve/numeric/process_PDEs) can only numerically solve PDE with two independent variables, got {t, x, y}

Nevertheles I seem to remember seeing this on Mapleprime (?)
If Maple 2015 can't do it, can Maple 2020?

Thanks in advance

  • Remark: Af=0 is the heat equation with rho=Cp=lambda=1.
    I guess I could code the alternate directions method to transform  Af=0 into a sequence Axf=0,  Ayf=0 Axf=0 ... of 1D diffusion equations but I'm a little bit lazzy and I'm waiting for your feedback before doing this.


dear all

I hope to write taylor expansion with remainder lagrange ..That is taylor lagrange expansion of a given function.

I tried 

or taylor(cos(x),x=0,5) 
always the remainder written USING O(x^6)
I want the reminder depend on the derivative ..that is Lagrange Taylor expansion

Many thanks

I make a maple worksheet for generating Pythagorean Triples Ternary Tree :

Around 10,000 records in the matrix currently !

You can set your desire size or export the Matrix as text ...

But yet ! I wish to understand from you better techniques If you have some suggestion ?

the mapleprimes Don't load my worksheet for preview so i put a screenshot !




Dear all


data := Import("datatest.xlsx");

I get flotting point like 15.0 , 25.0  in my data
How can get or transform data to integer ( without floating point)  that is instead of 15.0  I would like if possible to obtain 15 

Many thanks


Often times I run into calculations like these:

Where d denotes the exterior derivative. Now I know that it is possible to compute the exterior derivative of a function (using the DifferentialGeometry package). But is there a way to compute and simplify them with tensor products as above?


dear all 
I need to plot many curves on the same  figure. 
for j from 1 to 6 do 
pf[i]:=plot(f, x = a[i]..a[i+1]);
end do 
How change the following line so that I can plot many curves like 20 or more, using sequence or someting similar
display(pf[1], pf[2],pf[3],pf[4],pf[5],pf[6]})

many thinks


            We announce the release of a new book, of title Fourier Transforms for Chemistry, which is in the form of a Maple worksheet.  This book is freely available through Maple Application Centre, either as a Maple worksheet with no output from commands or as a .pdf file with all output and plots.

            This interactive electronic book in the form of a Maple worksheet comprises six chapters containing Maple commands, plus an overview 0 as an introduction.  The chapters have content as follows.

  -   1    continuous Fourier transformation

  -   2    electron diffraction of a gaseous sample

  -   3    xray diffraction of a crystal and a powder

  -   4    microwave spectrum of a gaseous sample

  -   5    infrared and Raman spectra of a liquid sample

  -   6    nuclear magnetic resonance of various samples

            This book will be useful in courses of physical chemistry or devoted to the determination of molecular structure by physical methods.  Some content, duly acknowledged, has been derived and adapted from other authors, with permission.

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