MaplePrimes Questions

Dear maple users,


Q1.How to plot a figure for different values of M?

      like M=1,2,3,4:

Q2. How to assign all the expressions are "remember table assignment"


what is the value of this expression(eq) in Maple:





I try import a big Excel file with the first row as column labels for performing statistical etc.

I use this command :

data := Import(FileTools:-JoinPath(["d:", "directory", "subset2.xlsx"], platform = "windows"))

i need a dataframe for performing statistical with column label as first row, but i have this error :

Error, (in Import) invalid input: MatrixToDataFrame uses a 3rd argument, columns, which is missing

I can not understand what is this, what i can do ?

Thanks, regards

Trying to use Curl tutorial when doing vector calculus

when I enter F:=VectorField(⟨y,-x,0⟩); it tells me unknown operator.




SetCoordinates('cartesian'[x, y, z]);
                       cartesian[x, y, z]


Error, unknown operator


  Typesetting:-merror("unknown operator"))umlycommauminus0xcomma0



I am having problems with VectorCalculus[Norm] with argument passing.

In certain cases I get the error message:

     "Error, (in VectorCalculus:-GetCoordinates) the first argument, when present, must be a Vector"

In all cases, the first argument IS a vector.

Here is the case I need to succeed:

VectorCalculus[Norm](DeleteRow(Vector[column](5, [x, y, z, w, 1]), RowDimension(Vector[column](5, [x, y, z, w, 1]))))

or more completely:

here is the test Document with several cases of the problem explored:

Background.  Calculus Vector Norm doesn't know about Homogenous systems so it inculdes an unwanted term in its norm.  Trimming off the last row of the vector fixes this problem.

(Note: as I am new, so if there is an existing cononical notation that will take care of that without further ado, then I could leave CalculusVector[Norm] to its own devices and move on.

Also, if I knew how to peek at the underside of such gotchas, I might have been able to sort it out myself.  Any leads in this direction would be taken to heart.  Thanks)

 I want to find AutomorphismGroup  of star S4 (ie, K1,3).

G1 := AutomorphismGroup(S4); # out is GroupTheory:-PermutationGroup({module() ... end module,module() ... end module},degree=4)



the S_4 has six automorphisms: (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2,), (3, 2, 1):


For the output of maple ,I cannot understand.

Maybe I don’t understand the group enough. May somebody explain in detail,  Thanks!

There is a whole chapter in programming guide on OO in Maple.

How much is OO actually used by Maple programmers? Is OO used much internally at Maplesoft itself in implementing internal code? I do not see questions about OO in Maple in the forum. May be it has not taken off? 

Any one knows of packages in Maple written in OO style, using the Object module? I think OO was added in Maple 16, which is 2012?

p.s. I myself like OO programming. Done alot of it in Java. I think it can be useful for large applications.



Hi I have product of function Q along with its derivative.  

Q'j(x)*Qi(x) for j=0,1 and i=0,...n.

how can i make loop  to collect all coefficeints for this function for j=0,1 and i=0,1,..n.

i hope some one will help me.


Hello, i'm a newbie in maple. I need to simulate the movement of the conical pendulum.

The equations of motion\ddot{\theta }=cos\theta sin\theta {\dot{\varphi }}^2-\frac{gsin\theta}{l} and\ddot{\varphi }=-\frac{2cos\theta \dot{\varphi }\dot{\theta }}{sin\theta }

I include a link to a description of the conical pendulum.

Thanks in advance! 


How can I find the RMS of a function like x(t) in maple? the help is not clear

x(t) := -3.703703704*10^(-7)*(0.000111668023*cos(1000/33*sqrt(1122)*t) - 0.0001214712007*sin(1000/33*sqrt(1122)*t) - 0.0002325581396*sqrt(561)*sqrt(2)*(-0.0004467462845*sqrt(1122)*sin(1000/33*sqrt(1122)*t) + 0.0004467462845*sqrt(1122)*cos(1000/33*sqrt(1122)*t)))/((2.074226433*10^14*cos(1000/33*sqrt(1122)*t) + 2.074226433*10^14*sin(1000/33*sqrt(1122)*t))*(4.895037587*10^(-11) + 0.01685634229*(0.00001474262739*cos(1000/33*sqrt(1122)*t) + 0.00001474262739*sin(1000/33*sqrt(1122)*t))^2)^2);




Sorry, I have not used Maple for a long time...

I would like to know the derivative of Jy w.r.t. py1 in the following. I expect the answer to be 2 Wy6 py1-2 Wy6 py10 but I get 0. Am I not using the subscripts properly that Maple is not understanding me?


J__y := (1/2)[W__y1(a[c]^y-(diff(S[1](t), t, t))^y)^2+W__y2((diff(S[1](t), t))^y)^2+W__y3(S[1]^y)^2+W__y4(`#mscripts(mi("φ",fontstyle = "normal"),mi("c"),none(),none(),mo("."),none(),none())`-`#mscripts(mi("φ",fontstyle = "normal"),mi("S"),none(),none(),mo("."),none(),none())`)^2+W__y5(`φ__S`)^2+W__y6(p__y1-p__y10)^2+W__y7(p__y2-p__y20)^2+W__y8(p__y3-p__y30)^2+W__y9(p__y4-p__y40)^2]

(1/2)[W__y1(a[c]^y-(diff(diff(S[1](t), t), t))^y)^2+W__y2((diff(S[1](t), t))^y)^2+W__y3(S[1]^y)^2+W__y4(`#mscripts(mi("φ",fontstyle = "normal"),mi("c"),none(),none(),mo("."),none(),none())`-`#mscripts(mi("φ",fontstyle = "normal"),mi("S"),none(),none(),mo("."),none(),none())`)^2+W__y5(phi__S)^2+W__y6(p__y1-p__y10)^2+W__y7(p__y2-p__y20)^2+W__y8(p__y3-p__y30)^2+W__y9(p__y4-p__y40)^2]


diff(p[y*i](t), t) := K[yp*i](p[y*i]-p[y0*i])-K[py*i]*(diff(Jy, p[y*i]))

K[yp*i](p[y*i]-p[y0*i])-K[py*i]*(diff(Jy, p[y*i]))


Diff(J__y, p__y1)

Diff((1/2)[W__y1(a[c]^y-(diff(diff(S[1](t), t), t))^y)^2+W__y2((diff(S[1](t), t))^y)^2+W__y3(S[1]^y)^2+W__y4(`#mscripts(mi("φ",fontstyle = "normal"),mi("c"),none(),none(),mo("."),none(),none())`-`#mscripts(mi("φ",fontstyle = "normal"),mi("S"),none(),none(),mo("."),none(),none())`)^2+W__y5(phi__S)^2+W__y6(p__y1-p__y10)^2+W__y7(p__y2-p__y20)^2+W__y8(p__y3-p__y30)^2+W__y9(p__y4-p__y40)^2], p__y1)






f1 := 0.001;
f2 := 0.002;
c1 := 0.002;
c2 := 0.005;
w1 := 0.1;
W := 0.14;
p1 := 0.65;
p2 := 0.28;
p := 1.167;
r := 0.004;
alpha := 0.2;
ze := 0.14;
mu := 0.05;
ga := 0.01;
cp := 9.3;
Rp := 100;
sigma2 := 0;
l[1] := 3*W^2*(-1+W^2)/(4*(-1+4*W^2));
l[2] := Rp^2*w1^2*mu*ga*cp/(2*(Rp^2*w1^2*cp^2+1));
l[3] := (*(Rp^2*w1^2*cp^2+1));
l[4] := W*(-1-7*W^2+8*W^4)/(8*(-2+8*W^2));
eq1 := (-x*t+l[2]*x+l[1]*x*y^2+(3/2)*alpha*ze^2*x)^2+((1/2)*c1*x+l[3]*x)^2-(1/4)*f1^2;
eq2 := (-l[4]*y^3+l[1]*x^2*y)^2+(1/4)*y^2*c2^2-f2^2/(4*W^2);

I need to solve these two equation for the variable x and y in terms of  t because I want to plot x with a range for t 

and the same plot y with a range for t and if it is possible to plot x vs y for the previuos same range for t

I found an assignment question concerning an ODE from 20 years ago. This was before I had discovered Maple.

So I put it through Maple and got a complex solution, But the lecturer's solution was non-imaginary.

For a) gamma <> Beta and b) gamma = beta.

Actually for b) I couldn't follow his solution



L := [1,2,3,4];
seq(%, x[j] in L);

What would you expect the output of the last line to be?

Answer:   Maple says 4.   Why?



In Maple it's possible to say that some quantity x has a value of 1 and that its unit is the meter (for instance).
But is it possible to say that x is a quantity whose fundamental unit is the 'length' (or any other fundamental unit, I insist on this point: I don't want to use derived units such as 'force', 'speed', ...)?

I think that the Units package doesn't allow to do this (or maybe I didn't figure out how).

Do you have any suggestions about that?


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