# Maple 14 Questions and PostsMaple 14 Questions and Posts Feed

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### Trace in Physics package at Maple14...

January 22 2016
1 0

I try to repeat lines (25)-(28) at

http://www.maplesoft.com/support/help/maple/view.aspx?path=Physics%2fTrace#commentform

I use Maple 14. However, instead of (28) I get the following result:

It means that Maple 14 does not perceive p_\mu, k_\nu and m as scalar quantities. I would like to ask how to define these variables correctly.

### Eigenvalues and Characteristic Polynomial...

January 17 2016
1 5

Hi!

I am comptuing the eigenvalues and the characteristic polynomial of a 8 by 8 symmetric matrix, say M. Thus, we define the matrix M, and compute its charast. plynm. by

and its eigenvalues with the command

Well, Maple returns the charast. polynm. an dthe eigenvalues. But, if we compute p(E[k]), for k=1,...,8, thats is, the values of the polynomial p(x) in the eingenvalues, Maple not turns cero!!! I'm really confused ... anyone know what could be happening?

Maple attached file with this example. Thank very much for your help!!

### Error when fsolving ...

November 05 2015
1 8

Error, (in fsolve/polynom) Digits cannot exceed 38654705646

I am using fsolve to find numerical approximations to the roots of many fairly large polynomials (degrees up to ~80).  I often get this error message and I'm not sure why.  Is there any workaround?  Any help is much appreciated.

### Apollonius (geometry) problem...

September 25 2015
3 6

Hello,

I am trying to use Apollonius procedure from geometry package. Here is an example:

restart;with(geometry): circle( c1, [ point( c1c, 0 , 0 ), 5 ] );circle( c2, [ point( c2c, 5 , 4 ), 2 ] );circle( c3, [ point( c3c, 13 , 0 ), 3 ] );A := Apollonius( c1, c2, c3 );

Unfortunatelly the Apollonius method does not give any result. The only message is:

intersection: there is no point of intersection

Anyone know what is wrong in my code?

Best regards

Rafał Nowak

### Surface/volume of revolution in polar coords...

September 09 2015
0 4

Hi there,

How can we pl0t the volume or surface of revolution of cardioid r=1-cos(\theta) about  polar axis or the vertical axis in maple14.

Any help will be appreciated.

M.R.Yegan

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August 31 2015
0 0

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August 31 2015
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### Error, (in soru) illegal use of a formal parameter...

May 19 2015
1 2

Hello. I have a question. If you can help me, i am pleasure.

Have nice day. :)

restart;
soru := proc(n,x)
local top::0;
for x from 2 to n do
top =top+(((x^(2+i))*top)^(1/(n+2-i)));
print(top);
od;
end proc;

soru(5,1);

Error, (in soru) illegal use of a formal parameter

### Error, reserved word do unexpected...

May 19 2015
1 2

Hello. I have a question. If you can help me, i am pleasure.

Have nice day. :)

Question: Enter a number after maple find(understand) to prime number or normal number.

restart;
> asal := proc(n)
> local m;
> if n<2 then
> m := s=n/2+1;
> print(m);
> else
> for i from 2 to n do
> if irem(n,i,0) then
> print("asal değil");
> if i = m then
> print("asaldir");
> end do;
> end if;
> end if;
> end proc;

### do not draw diagrams...

May 08 2015
0 0

Hi

I want to run the following code repeatedly displays but do not draw diagrams.

>restart;read(orbit.sav)
> dsnumsort := proc (numpr::list, Coor::list)
local i, j, n; global C1, C2, C3, V1, V2, V3;
n := nops(Coor); print("Order of the variables:");
for i from 2 to 2*n+1 do
for j to n do
if [numpr[i]] = select(has, numpr, diff(Coor[j](t), t)) then C[j] := i-1; V[j] := i;
print(Coor[j], C[j], " ", diff(Coor[j](t), t), V[j])
fi;
od;
od;
end:
>dx := diff(x(t), t, t) = -G*Mz*x(t)/(x(t)^2+y(t)^2)^(3/2);
>dy := diff(y(t), t, t) = -G*Mz*y(t)/(x(t)^2+y(t)^2)^(3/2);
>IniC := x(0) = 7*10^6, (D(x))(0) = 1, y(0) = 0, (D(y))(0) = 9*10^3;
>Ns := dsolve({dx, dy, IniC}, {x(t), y(t)}, numeric);
>dsnumsort(Ns(0), [x, y]):
>for i from 0 to 328 do T := 40*i; NsT := Ns(T);
>X[i], Y[i], Vx[i], Vy[i] := (eval([x(t), y(t), diff(x(t), t), diff(y(t), t)], NsT))[]
>od:
>i := 'i'; j := i+1;
>with(plots);
> plot([seq([X[i]-XS[j], Y[i]-YS[j]], i = 0 .. 328)], labels = ['dx', 'dy']);
>plot([seq([Vx[i]-VxS[j], Vy[i]-VyS[j]], i = 0 .. 328)], labels = ['dx', 'dy'])
> R := sqrt(XS[j]^2+YS[j]^2);
>sin := YS[j]/R; cos := X[j]/R;
> GCX := (X[i]-XS[j])*cos-(Y[i]-YS[i])*sin;
> GCY := (X[i]-XS[j])*sin+(Y[i]-YS[i])*cos;
> GCVx := (Vx[i]-VxS[j])*cos-(Vy[i]-VyS[i])*sin;
> GCVy := (Vx[i]-VxS[j])*sin+(Vy[i]-VyS[i])*cos;
> plot([seq([GCX, GCY], i = 0 .. 328)], labels = ['dx', 'dy']);
>plot([seq([GCVx, GCVy], i = 0 .. 327)], labels = ['dVx', 'dVy'])

### do not draw diagrams...

May 08 2015
0 0

Hi,

I want to run this code, but I do not draw diagrams. You can help me?

>restart;read(orbit.sav)
> dsnumsort := proc (numpr::list, Coor::list)
local i, j, n; global C1, C2, C3, V1, V2, V3;
n := nops(Coor); print("Order of the variables:");
for i from 2 to 2*n+1 do
for j to n do
if [numpr[i]] = select(has, numpr, diff(Coor[j](t), t)) then C[j] := i-1; V[j] := i;
print(Coor[j], C[j], " ", diff(Coor[j](t), t), V[j])
fi;
od;
od;
end:
>dx := diff(x(t), t, t) = -G*Mz*x(t)/(x(t)^2+y(t)^2)^(3/2);
>dy := diff(y(t), t, t) = -G*Mz*y(t)/(x(t)^2+y(t)^2)^(3/2);
>IniC := x(0) = 7*10^6, (D(x))(0) = 1, y(0) = 0, (D(y))(0) = 9*10^3;
>Ns := dsolve({dx, dy, IniC}, {x(t), y(t)}, numeric);
>dsnumsort(Ns(0), [x, y]):
>for i from 0 to 328 do T := 40*i; NsT := Ns(T);
>X[i], Y[i], Vx[i], Vy[i] := (eval([x(t), y(t), diff(x(t), t), diff(y(t), t)], NsT))[]
>od:
>i := 'i'; j := i+1;
>with(plots);
> plot([seq([X[i]-XS[j], Y[i]-YS[j]], i = 0 .. 328)], labels = ['dx', 'dy']);
>plot([seq([Vx[i]-VxS[j], Vy[i]-VyS[j]], i = 0 .. 328)], labels = ['dx', 'dy'])
> R := sqrt(XS[j]^2+YS[j]^2);
>sin := YS[j]/R; cos := X[j]/R;
> GCX := (X[i]-XS[j])*cos-(Y[i]-YS[i])*sin;
> GCY := (X[i]-XS[j])*sin+(Y[i]-YS[i])*cos;
> GCVx := (Vx[i]-VxS[j])*cos-(Vy[i]-VyS[i])*sin;
> GCVy := (Vx[i]-VxS[j])*sin+(Vy[i]-VyS[i])*cos;
> plot([seq([GCX, GCY], i = 0 .. 328)], labels = ['dx', 'dy']);
>plot([seq([GCVx, GCVy], i = 0 .. 327)], labels = ['dVx', 'dVy'])

### do not draw diagrams...

May 08 2015
0 0

Hi,

I want to run this code, but I do not draw diagrams. You can help me?

>restart;read(orbit.sav)
> dsnumsort := proc (numpr::list, Coor::list)
local i, j, n; global C1, C2, C3, V1, V2, V3;
n := nops(Coor); print("Order of the variables:");
for i from 2 to 2*n+1 do
for j to n do
if [numpr[i]] = select(has, numpr, diff(Coor[j](t), t)) then C[j] := i-1; V[j] := i;
print(Coor[j], C[j], " ", diff(Coor[j](t), t), V[j])
fi;
od;
od;
end:
>dx := diff(x(t), t, t) = -G*Mz*x(t)/(x(t)^2+y(t)^2)^(3/2);
>dy := diff(y(t), t, t) = -G*Mz*y(t)/(x(t)^2+y(t)^2)^(3/2);
>IniC := x(0) = 7*10^6, (D(x))(0) = 1, y(0) = 0, (D(y))(0) = 9*10^3;
>Ns := dsolve({dx, dy, IniC}, {x(t), y(t)}, numeric);
>dsnumsort(Ns(0), [x, y]):
>for i from 0 to 328 do T := 40*i; NsT := Ns(T);
>X[i], Y[i], Vx[i], Vy[i] := (eval([x(t), y(t), diff(x(t), t), diff(y(t), t)], NsT))[]
>od:
>i := 'i'; j := i+1;
>with(plots);
> plot([seq([X[i]-XS[j], Y[i]-YS[j]], i = 0 .. 328)], labels = ['dx', 'dy']);
>plot([seq([Vx[i]-VxS[j], Vy[i]-VyS[j]], i = 0 .. 328)], labels = ['dx', 'dy'])
> R := sqrt(XS[j]^2+YS[j]^2);
>sin := YS[j]/R; cos := X[j]/R;
> GCX := (X[i]-XS[j])*cos-(Y[i]-YS[i])*sin;
> GCY := (X[i]-XS[j])*sin+(Y[i]-YS[i])*cos;
> GCVx := (Vx[i]-VxS[j])*cos-(Vy[i]-VyS[i])*sin;
> GCVy := (Vx[i]-VxS[j])*sin+(Vy[i]-VyS[i])*cos;
> plot([seq([GCX, GCY], i = 0 .. 328)], labels = ['dx', 'dy']);
>plot([seq([GCVx, GCVy], i = 0 .. 327)], labels = ['dVx', 'dVy'])

May 05 2015
0 8

Hi,

> whit*evalf; tx := evalf((t1+t2)*(1/2));
> t1 := 326*40; t2 := 327*40;
> y1, y2 := eval([y1, y2], Ns(t1), Ns(t2));
>while (t1 < tx) and (tx < t2) do:
yx := rhs(Ns(tx)[c2]):
if yx > 0 then
y2 := yx: t2 := tx:
else
y1 := yx: t1 := tx:
fi;
od;
>Tx = evalf(tx);
> Hx := floor((1/3600)*tx):
> Mx := floor((tx-3600*Hx)*(1/60)):
> Sx := tx-3600*Hx-60*Mx:
> Hx, Mx, Sx;
> XS := [seq(X[i], i = 0 .. 328)]: YS := [seq(Y[i], i = 0 .. 328)]:
> VxS := [seq(Vx[i], i = 0 .. 328)]: VyS := [seq(Vy[i], i = 0 .. 328)]:
> save(G,Mz,Xs,VxS,VyS, 'orbit.sav'):

can you help me?

April 11 2015
0 5

hi friends

I encountered a problem and I can not draw the plot of this code

> sol := fsolve({diff(S, x) = 0, diff(S, y) = 0}, {x, y});

> with(VectorCalculus);
> with(linalg);
> s1 := evalf(subs(sol, linalg[grad](S, [x, y])));

> with(VectorCalculus);
> with(LinearAlgebra);
> s2 := evalf(subs(sol, linalg[hessian](S, [x, y]))); pmp0 := [x-subs(sol, x), y-subs(sol, y)]; sapprox := s0+evalm(&*(&*(transpose(pmp0), s2), pmp0));
> with(Statistics);
>
> with(stats); statevalf[icdf, chisquare[4]](.95);

> with(VectorCalculus);
> with(plottools);
> with(plots);
> with(linalg); ellips := {seq(stats*([statevalf[icdf, chisquare[4]]])(c) = sapprox, c = [.5, .95, .999])};
> plots(ellips(x, y), x = 950 .. 1000, y = 700 .. 750, grid = [50, 50], view = [950 .. 1000, 700 .. 750]);

can you helpe me?Thank you

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