Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I am trying to  find the funtion of this graph 

I tried
f := x -> a12*x^12 + a1*x^11 + a2*x^10 + a3*x^9 + a4*x^8 + a5*x^7 + a6*x^6 + a7*x^5 + a8*x^4 + a9*x^3 + a10*x^2 + a11*x + a13;
solve([f(-4) = 3, f(-3) = 1, f(-2) = 1, f(-1) = 1, f(0) = 0, f(1) = -1, f(3) = -5, f(4) = -5, f(5) = 1, eval(diff(f(x), x), x = -2.5) = 0, eval(diff(f(x), x), x = -1.5) = 0, eval(diff(f(x), x), x = 3.5) = 0, f(6) = 3], [a12, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a13]);

I got

[[a12 = 4.697405911*10^(-6), a1 = -0.00006250181861, a2 = -1.444112429*10^(-6), a3 = 0.002660698702, a4 = -0.004689494622, a5 = -0.04291772722, a6 = 0.08407481146, a7 = 0.3251529098, a8 = -0.4752692626, a9 = -1.066462933, a10 = 0.3958806924, a11 = -0.2183704462, a13 = 0.]]

plot(4.697405911*10^(-6)*x^12 - 0.00006250181861*x^11 - 1.444112429*10^(-6)*x^10 + 0.002660698702*x^9 - 0.004689494622*x^8 - 0.04291772722*x^7 + 0.08407481146*x^6 + 0.3251529098*x^5 - 0.4752692626*x^4 - 1.066462933*x^3 + 0.3958806924*x^2 - 0.2183704462*x, x = -4 .. 5)

It doesn't like the graph of the first picture. 

Since Maple comes with source code that one can display. Even though it is stripped of all comments, which makes it hard to follow sometimes, I was wondering if there are any tools to help one get the large picture of what is there without having to step and go through all the thousands and thousands of the help pages jumping from one to another and losing the path.

I am looking for something similar to the tree program one finds on Unix, but applied to Maple's logical package hierarchy.

Since Maple has thousands of packages and subpackages and some has sub subpackages and then thousands of commands below all these, such an automated tool will be useful.

For example, I could ask it to show me top level packages and subpackages only (and not show the names of all the functions below that). This will help one see what is out there at a glance. i.e. see the big picture.

Here is an example of tree command I found on the net. But instead of looking at directories, the maple one will look at logical package tree.

 

For example, I just made short example for the Student package now

 

But doing the above by hand for everything is not practical. The above is just partial view of one package, and there are hundreds others. 

It will be nice if there is a tool, where one can tell to show the Maple package tree and the level of details to show. This will help one learn Maple better also.

The output of such tool does not even have to graphical. It could plain text, something like this

 

Student
      LinearAlgebra
               Basis
               IntersectionBasis
               etc.....
      Calculus1
               ......
               ......
Physics
DataSets
.....

      
       

   

Alignment is done using tabs for example to help show the structure.

Any suggestions?

 

Taking the example below from the help page, showstat displays the content of a procedure. This is convenient when writing code. However, to perform copy & paste, I would like to get rid of the displayed line number. Is that possible?

f := proc(x) if x <= 2 then print(x); print(x^2) end if; print(-x); x^3 end proc:
showstat(f);

f := proc(x)
   1   if x <= 2 then
   2       print(x);
   3       print(x^2)
       end if;
   4   print(-x);
   5   x^3
end proc

 

Hi everyone, I hope you are staying safe from coronavirus.

I have a table of data points in excel (attached file) and want to plot a smooth surface plot in Maple, the plot will look like in the image below. How can I do it in Maple (2017)? I tried matrixplot(matrix) and the surface is good. However, I couldn't change the X, Y axes value since it should be the default value. 

Thank you very much.PlotTest.xlsx

The uploaded worksheet contains an apparently unsolvable ode.

Please see the text in the worksheet for a description of the problem.

Roller_coaster_loop.mw

Hello everyone, 

I have a parametric plot which you can see in the first image below, g and t are both functions of (p,v). I have fixed the value of p in the functions then plotted for v, and you can see the resulting plot (i am only interested in the blue figure) there is an intersection. 

The maximum value p is aloud to have in my functions 1/(12*pi) which i am approximating to 0.026. So what i am trying to do is for p from 0.026 to 0 obtain values of t for each p then plot then with pointplot with arrays i have made after solving the equations. However the plot which i am obtaining is not matching what i want see second image below. 

 

I have attached my code so you can see what i have done and how my image doesnt match any help would be appreciate, Thanks.Solving_Equation_.mw

Hi, 

I work for the University of Dundee as a packager for the staff and student desktops.

We have a licence for 2020 applied to our licance server, I only require the software.

Is your free version the full package that once it sees the licence server will unlock all the features do I need to download a specific version from yourselves,

Best regards

Colin 

restart;
plot([sin(x), sin(x), x=0..420]);

The matrix A := op([1,1], %)  has equal columns, so the bug is in the PLOT engine.
plot(A) generates the same plot.
See also the "circle":
plot([cos(x), sin(x), x=0..5000*Pi]);

 

help me for solve the error of plot

p1.mw

Hello everyone! I'm pretty new to Maple and struggling with some basics.

 

I want to use a for-loop to print out the square numbers from 11 to 20. And the outputs should be presented within a list.

This is what I have so far:

|> for i from 11 to 20 do print(i^2) od;


                              121

                              144

                              169

                              196

                              225

                              256

                              289

                              324

                              361

                              400

But I don't know how I can put all these results in a list, so that in the end it looks like this:

L: = [121,144,169,196,225,256,289,324,361,400]

 

I'm grateful for every answer :)

 

 

With Maple 2020, I have been experiencing some odd behavior of simple 2D plots. For example, I plotted two functions on the same graph, and the default view did not contain the full upper or lower limits of both functions. (Sorry, I chose to move on and so I am unable to reproduce this outcome – but it has happened more than once.)  

Now I am experiencing another limited view of a plot, this time a single function. In creating a simple example of the SIR model, I have dsolve output a list of procedures so that I can plot them as functions. But when I plot one of the functions, it does not plot the entire function from the lower to the upper limit. Am I alone in experiencing this outcome? Is there something I am doing wrong that is causing this behavior?

 

restart; plots:-setoptions(size = [300, 300])

s_eq := diff(s(t), t) = -ir*i(t)*s(t); i_eq := diff(i(t), t) = ir*i(t)*s(t)-rr*i(t); d_eq := diff(d(t), t) = dr*i(t); ics := s(0) = s0, i(0) = i0, d(0) = 0

"i0:=1.E3:    P0:=3.E8:    drate:=0.02:     s0:=0.6*P0:    ir:=(0.1)/(s0):   rr:=1/(30.):  dr:=rr*drate:   "

sol := dsolve({d_eq, i_eq, ics, s_eq}, numeric); tf := 120; plots:-odeplot(sol, [t, d(t)], 0 .. tf)

 

sol := dsolve({d_eq, i_eq, ics, s_eq}, numeric, output = listprocedure); i := eval(i(t), sol); s := eval(s(t), sol); d := eval(d(t), sol)

tf; plot(d(t), t = 0 .. tf)

120

 

 

plot(d(t), t = 0 .. tf, view = [0 .. 150, 0 .. 40000])

 

``


 

Download plot_view_problem.mw

Following situation: I have a bunch of matrices A,B,Dm, Dinv (which is the inverse of Dm). They happen to be 2x2 matrices, but I want/need to keep these in a symbolic or abstract form, i.e. I am not saying what these are.

They are then used as submatrices of other (2x2) matrices like so:

R:=<<A|0>,<0|B>>;

I then have various dot products between these & others.

My issue/question is: How can I make sure, Maple obeys the non-commutativeness of the products that occur in doing these matrix products? I tried declaring A and B etc. as Matrix(), but that fails, saying the matrices are either too short or too long.

At any rate, I do not want Maple to expand these into their elements. A particular concern is that Dm*B*Dinv bcomes B*Dm*Dinv = B; obviously not correct for matrices B,Dm,Dinv.

So, can Maple handle abstract matrices?

M.D.

Dear all

I need to display a matrix K defined in the attached maple code.

Thanks for your help

matrix.mw

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