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I am trying to alter the Virtual Solar system Maple worksheet of Yi Xie in the way that I added several objects to the eight planets and Pluto (e.g. Hale-Bopp, Sedna, 2012 VP113 etc.) and would like to adjust the array such that when zooming out and the obrit and labels overlap so that it's unreadable anymore (orbits and labels) that I can switch on and off (respectively display/not display) specific parts, e.g. the inner solar system. In the original file a single array was created from 1..18 (including 9 orbital entries and 9 label entries). What I did is to create arrays for each part of the Solar system, e.g. Inner for the planets+Pluto 1..18, an array for Hale-Bopp with an orbital entry and a label entry, so [1,2], and an array with 6 entries for 3 additional objects like Sedna, Planet X and 2012 VP113. As well as the sun, which only has a single entry as there are no orbital elements necessary and one just makes a 3dplot (I did not label it, so just one entry). All arrays are converted into lists in the end and displayed. Here is the code:


> with(linalg);

> with(plots);

> with(plottools);

> P1 := matrix([[cos(omega[j]), -sin(omega[j]), 0], [sin(omega[j]), cos(omega[j]), 0], [0, 0, 1]]); P2 := matrix([[1, 0, 0], [0, cos(i[j]), -sin(i[j])], [0, sin(i[j]), cos(i[j])]]); P3 := matrix([[cos(Omega[j]), -sin(Omega[j]), 0], [sin(Omega[j]), cos(Omega[j]), 0], [0, 0, 1]]);

> A:=matrix([[a[j]*(cos(E[j])-e[j])],[a[j]*sqrt(1-e[j]^2)*sin(E[j])],[0]]);

> R:=multiply(P3,P2,P1);

> B:=multiply(R,A);

> a := [.38709893, .72333199, 1.00000011, 1.52366231, 5.20336301, 9.53707032, 19.19126393, 30.06896348, 39.48168677, 1/0.5454e-2, 268.2509283, 532.7838156, 300];

> e := [.20563069, 0.677323e-2, 0.1671022e-1, 0.9341233e-1, 0.4839266e-1, 0.5415060e-1, 0.4716771e-1, 0.858587e-2, .24880766, .994920, .7005635, .8570973, .1];

> i := [7.00487, 3.39471, 0.5e-4, 1.85061, 1.30530, 2.48446, .76986, 1.76917, 17.14175, 89.5328, 24.01830, 11.92859, 10];

> Omega := [48.33167, 76.68069, -11.26064, 49.57854, 100.55615, 113.71504, 74.22988, 131.72169, 110.30347, 282.1476, 90.88303, 144.53190, 45];

> omega := [77.45645, 131.53298, 102.94719, 336.04084, 14.75385, 92.43194, 170.96424, 44.97135, 224.06676, 130.8038, 293.03200, 311.18311, 150];

> i := map(x→ convert(x, units, deg, rad) end proc, i);

> Omega := map(x→ convert(x, units, deg, rad) end proc, Omega);

> omega := map(x→ convert(x, units, deg, rad) end proc, omega);

> for j to 13 do omega[j] := arcsin(sin(omega[j]-Omega[j])/sin(arccos(sin(i[j])*cos(omega[j]-Omega[j])))) end do;

> x := array(1 .. 13);

> y := array(1 .. 13);

> z := array(1 .. 13);

> for j to 13 do x[j] := B[1, 1]; y[j] := B[2, 1]; z[j] := B[3, 1] end do;

> Sun := array([1]);

> Inner := array(1 .. 18); for j to 9 do Colors := [black, green, blue, red, black, yellow, green, violet, brown, aquamarine, black, black, red]; Linestyle := [solid, solid, solid, solid, solid, solid, solid, solid, solid, longdash, solid, solid, longdash]; Inner[j] := spacecurve([subs(E[j] = E, x[j]), subs(E[j] = E, y[j]), subs(E[j] = E, z[j])], E = 0 .. 2*Pi, color = Colors[j], linestyle = Linestyle[j]) end do;

> Comet := array([1, 2]); if j = 10 then Colors := [aquamarine]; Linestyle := [longdash]; Comet[1] := spacecurve([subs(E[j] = E, x[j]), subs(E[j] = E, y[j]), subs(E[j] = E, z[j])], E = 0 .. 2*Pi, color = Colors[j], linestyle = Linestyle[j]) end if;

> Oort := array(1 .. 6); for j from 11 to 13 do Colors := [black, black, red]; Linestyle := [solid, solid, longdash]; Inner[j] := spacecurve([subs(E[j] = E, x[j]), subs(E[j] = E, y[j]), subs(E[j] = E, z[j])], E = 0 .. 2*Pi, color = Colors[j], linestyle = Linestyle[j]) end do;

> Sun[1] := plot3d(0.1e-1, 0 .. 2*Pi, 0 .. Pi, style = PATCHNOGRID, coords = spherical, color = red);

> Inner[10] := textplot3d([subs(E[1] = 0, x[1]), subs(E[1] = 0, y[1]), subs(E[1] = 0, z[1]), "Mercury"]); Inner[11] := textplot3d([subs(E[2] = 0, x[2]), subs(E[2] = 0, y[2]), subs(E[2] = 0, z[2]), "Venus"]); Inner[12] := textplot3d([subs(E[3] = 0, x[3]), subs(E[3] = 0, y[3]), subs(E[3] = 0, z[3]), "Earth"]); Inner[13] := textplot3d([subs(E[4] = 0, x[4]), subs(E[4] = 0, y[4]), subs(E[4] = 0, z[4]), "Mars"]); Inner[14] := textplot3d([subs(E[5] = 0, x[5]), subs(E[5] = 0, y[5]), subs(E[5] = 0, z[5]), "Jupiter"]); Inner[15] := textplot3d([subs(E[6] = 0, x[6]), subs(E[6] = 0, y[6]), subs(E[6] = 0, z[6]), "Saturn"]); Inner[16] := textplot3d([subs(E[7] = 0, x[7]), subs(E[7] = 0, y[7]), subs(E[7] = 0, z[7]), "Uranus"]); Inner[17] := textplot3d([subs(E[8] = 0, x[8]), subs(E[8] = 0, y[8]), subs(E[8] = 0, z[8]), "Neptune"]); Inner[18] := textplot3d([subs(E[9] = 0, x[9]), subs(E[9] = 0, y[9]), subs(E[9] = 0, z[9]), "Pluto"]); Comet[2] := textplot3d([subs(E[10] = 0, x[10]), subs(E[10] = 0, y[10]), subs(E[10] = 0, z[10]), Hale-Bopp]); Oort[4] := textplot3d([subs(E[11] = 0, x[11]), subs(E[11] = 0, y[11]), subs(E[11] = 0, z[11]), "2012 VP113"]); Oort[5] := textplot3d([subs(E[12] = 0, x[12]), subs(E[12] = 0, y[12]), subs(E[12] = 0, z[12]), "Sedna"]); Oort[6] := textplot3d([subs(E[13] = 0, x[13]), subs(E[13] = 0, y[13]), subs(E[13] = 0, z[13]), "Planet X ?", color = red]);

> Sun1 := convert(Sun, 'list');
> Inner1 := convert(Inner, 'list');
> Comet1 := convert(Comet, 'list');
> Oort1 := convert(Oort, 'list');
> display(Sun1, Inner1, Comet1, Oort1, scaling = CONSTRAINED);


The first error message appears after the if-condition. Can you tell me where I am making a mistake? Beware: when copy paste the code from Maple to Word and from Word in here the colons at the end of lines have changed into semi-colons. Hope this is no problem in executing the code despite the lines being in the same ">..." e.g. where the labels are defined.

My eyesight is not what it used to be, so I would like to maginfy Maple's help window with a zoom factor of 150%.   I know how to do that by hitting Ctrl-F4.  My question is: Is it possible to save that setting somehow so that help is displayed at 150% by default?

Aside: The option Tools->Options->Interface->Default Zoom does not seem to do what I want.  For one thing, it sets the zoom factor of the main worksheet which I don't want to change.  For another thing, it affects the zoom factor of the help window in a rather mysterious way.  For instance, if I set Default Zoom to 400%, then the main window is indeed zoomed by 400% but the help window is zoomed by only 200%.

Platform: Maple 18 on Linux

Hi there,

I would like to compute and display the nullclines of a set of ordinary differential equations.

AFAIK, I can compute the nullclines in Maple by defining the equations and solving the system


# Define the equations
eq1 := u(t)*(1-u(t)/kappa)-u(t)*v(t) = 0;
eq2 := g*(u(t)-1)*v(t) = 0;

# Solve the system (i.e. compute the nullclines)
sol := solve({eq1, eq2}, {u(t), v(t)});

However, I am not quite able to imagine how to display them over a dfieldplot or a phaseportrait.

Attached is an example with some differential equations, and their vector field and trajectories:

It can be use to illustrate how to (compute and) display the nullclines.


Thank you,


Dear all;

I need your help to display the value of phi[jj] in the following loop. 


for jj from 1 by 1 to 2 do
end do;


but the index jj in the integral does not change. I have any idea what is the problem. 

Thank you very much for your help. 



I have a statement:

print(plots[display](seq(colr2[i],i=1..numplayers, xtickmarks=0,axes=NONE,view=[0..5*numplayers,0..1])):

which outputs a horizontal display of the various "colors" of the players, and it does so.

    However, the height of the output is quite big and makes the output look "chunky".  Inserting the option "scaling=constrained" makes the width of the output much narrower - but there is a bounding box of the output (which is not actually displayed.)  It is displayed when the mouse cursor is clicked on the display.  I was hoping the view= [..] option would provide a solution, but this does not alter the exterior bounding rectangle.

  Is there any means of modifying the dimensions of the rectangular display through Maple code?




When I run a maple program which take a long time (in command line), I have this kind of message every second:

"memory used=43867.3MB, alloc=147.3MB, time=856.28"

Does there exist any way to avoid this display ?

Thanks in advance.

Dear all, I have been trying to use Runge-Kutta method to plot an approximate solution with the following code. However, although I can get the numerical approximation the plot would not show.

h := .1;

x[0] := 0;

y[0] := 1;

xf := 3;

n := floor(xf/h)

f:= (x,y)->1/(3 y-x-2)

x := x[0]

y := y[0]

for i to n do

k1 := f(x, y);

k2 := f(x+(1/2)*h, y+(1/2)*h*k1);

k3 := f(x+(1/2)*h, y+(1/2)*h*k2);

k4 := f(x+h, h*k3+y);

k := (k1+2*k2+2*k3+k4)*(1/6);

y := h*k+y;

x := x+h

end do;


data := [seq([x[n], y[n]], n = 0 .. 30)];

p[2] := plot(data, style = point, color = blue);

p[3] := plot(data, style = line, color = blue);
display(seq(p[n], n = 2 .. 3));



I've encountered a problem with Maple.


Is it possible to create a procedure which both displays some plots and also returns a value?


When I write a simple example:


It plots a circle as expected.

But when I add return:


It returns value 2, but no plot is displayed.

Is it possible to do both, display and return a value?

I used to write two copies of procedure, one for plotting and one for returning value.

But thats not "pretty" solution.


Thanks for help.

If I want to make a display of data, say 2 columns of data, with a heading on top of each column, how would one go about this in Maple? This will be for display purposes only (say for final result of a homework result, etc..)  

In Mathematica, I use the Grid command. I am not sure how to do this in Maple. I could not find Grid like command in Maple.

I can generate the data in 2 sequences  in Maple, but need to insert a heading, and also need to insert frame around eveything.

Here is an example:

    #data = [[0, 0, 0], [1, 1, 1], [2, 4, 8], [3, 9, 27], [4, 16, 64], [5, 25, 125]]

The above data has 3 columns, 6 rows. I need to insert first row also called {"index","f","g"} and then display all in nice table form. This is how I would do the above in Mathematica to give idea of what I looking for

f[x_] := x^2;
g[x_] := x^3;
data = Table[{i, f[i], g[i]}, {i, 0, 5}]
    (* {{0, 0, 0}, {1, 1, 1}, {2, 4, 8}, {3, 9, 27}, {4, 16, 64}, {5, 25, 125}} *)

And this is below the part I do not know how to emulate in Maple:

data = Insert[data, {"i", "f(i)", "g(i)"}, 1]
    #   {{"i", "f(i)", "g(i)"}, {0, 0, 0}, {1, 1, 1}, {2, 4, 8}, {3, 9, 27}, {4, 16, 64}, {5, 25, 125}}
    # now use Grid to format with frame around everything
Grid[data, Frame -> All]


I need your help to display the matrix generated by a lenear system.

The linear system is okay, well written, but  there is an error in generate matrix, I get the wrong matrix.

Thank you very much for your help.

    option package;
    # local a,b,c;

    uses LinearAlgebra;

        local ans;

        return ans;

    end proc;

end module;

Here is a short piece of code to create a Maple package. It runs fine. Is that possible to hide the code from print() ?



print(mymain); # which displays the source code


Could I hide some of the code? Say I want to use the function mymain() for debugging purpose, but I dont want to make it local to the package. Instead I keep it in "export", but I dont want users to see its code.




I'm using my own Maple package to make questions in Maple T.A.. I'm working with finite automata so I'd like to draw graphs in the text of the questions. I have a function that draws automata, it uses plots:-display as it's output. Is there a way that I can use plots:-display in plotmaple, like this? (This is example doesn't work, I'd like to know why and how I have to modify it.)

$circ=maple("geometry:-circle('Circ', [geometry:-point('PP',0,0),3]);
$plo=plotmaple("plots:-display($circ),plotdevice='gif', plotoptions='height=250, width=250'");

Thank you for the answers.


I am trying to plot the polygon but it isnt working. Please help


i put

triangle := polygonpolt3d ([13,11,12], [16,10,18], [14,10,7]) :

display3d (triangle)


I have a little question about the display of the kinematic joints which are usually in red.

I didn't know why the kinematic joints have disappeared and I don't know how to display them again.

Do you have an idea about the button I have to use so as to display the kinematic joints.

Thanks for your help.

This is a typical problem of what I find when learning DynamicSystems. Basically, I create number of systems by changing one paramter (the damping ratio in this case) and want to plot the unit step of all of them on the same plot to compare the effect of the damping ratio.

I setup the TransferFunction, used Simulate to obtain the response of each to the same input. The problem comes when I want to plot the respones.  I have to use plot[odeplot] it seems. But this only like to take one response at a time.

I can't use plot() since I do not have the actual function of the response in time. Unless I try to extract the differential equation from the sytem object, solve that and get a solution then use plot(). But if I do all of this, what do I need DynamicSystems in first place? 

I will show what I tried. I am sure there is some way to do this in Maple I just do not know yet the correct function or setup.

sys:= (w,zeta)->DS:-TransferFunction(H(w,zeta)):

Now I want to plot all the solutions in sol. I wanted to use plot(...) only to be able to obtain the automatic coloring of each solution.

If I try to use plots[odeplot], it works, but only on one at a time:


If I try this, it fails:


I can get each plot separatly and then use display() but then lose the automatic coloring of the lines:


I am looking for the above plot, but have the lines each colors differently. I also need to figure how to add legend later. But one step at a time. I can't hard code the color in the plots[odeplot] call itself, since I do not know what color to give each line. plot([....],t=0..) allready does this automatically. But I can't use it!

Just to give an idea of the kind of plot I am trying to obtain, here it is in Mathematica:

sys = TransferFunctionModel[w^2/(s^2 + 2 z*w*s + w^2), s];
zValues = Range[.2, 1.2, .2];
fun = OutputResponse[sys /. {w -> 1, z -> #}, UnitStep[t], {t, 0, 12}] & /@ zValues;
Plot[Evaluate@Flatten@Table[fun[[i]], {i, 1, Length[fun]}], {t, 0, 12}, Frame -> True, PlotRange -> {{0, 12}, {-.1, 1.7}}]




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