MaplePrimes Questions

Hello,

i need help to translate a system which is given below to a for loop.

Other wise i am writing it with myself. 

instead of doing it like that 

with(LinearAlgebra);

sys := [galerkin_funcs[1], galerkin_funcs[2], galerkin_funcs[3], galerkin_funcs[4], galerkin_funcs[5], galerkin_funcs[6], galerkin_funcs[7], galerkin_funcs[8], galerkin_funcs[9], galerkin_funcs[10]];

var := [w[1], w[2], w[3], w[4], w[5], w[6]];

Kmat, Fmat := GenerateMatrix(sys, var);

i want to do it like that.

N:=10

for i to N+4 do

sys(1,i) := galerkin_funcs[i] 

end do

for i to N do

var(1,i) := w[i] 

end do

After that i will generate matrix with this comman Kmat, Fmat := GenerateMatrix(sys, var);

But this for loop i wrote is not doing the i want to do.

Thanks for your help.

 

 

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.

Is there a bug for resizing the spreadsheet?  I am unable to drag the size to the full worksheet.  If it's a bug is there a workaround?

How can I generate some n-tuple random list of integers s.t. any component is between -30 and 50? For example if n=5 then four random of such 5-tuple are

[-1,2,8,7,9] , [0,-9,2,-3,-5] , [4,5,3,-8,-1] , [12, -5, 0, 6,8]

I am trying to obtain the splitting field of New_polyq. evala@AFactor did not complete. Applying splitting sequentially produced independent extensions from the first 2 (3?) factors. evala@Indep did not complete for the union of all 4 extensions.

What libraries would handle this better?

restart; _EnvExplicit:=false;interface(labelwidth=200);
Rho_polys:=rho[3,1]^3-2, rho[3,2]^2+rho[3,2]*rho[3,1]+rho[3,1]^2, 2*rho[6,1]^3+rho[6,1]^6-2, rho[12,1]^2+rho[6,1]^2-1, 2*rho[12,2]^2-rho[6,1]^2*rho[3,2]*rho[3,1]^2-2*rho[6,1]^2-2;
New_poly:=1/16*(-rho[6,1]^4*rho[3,2]*rho[3,1]-2-rho[3,1]^2*rho[6,1]^4-2*rho[6,1]*rho[3,2]*rho[3,1]-2*rho[3,1]^2*rho[6,1]+2*lambda^2)*(rho[6,1]^4*rho[3,2]*rho[3,1]+2*rho[6,1]*rho[3,2]*rho[3,1]-2+2*lambda^2)*(-2+2*rho[3,1]^2*rho[6,1]+rho[3,1]^2*rho[6,1]^4+2*lambda^2)*(-2+rho[6,1]^2*rho[3,2]*rho[3,1]^2+2*lambda^2);
sol:=solve({Rho_polys});
alias(op(sol));
New_polyq:=subs(sol,New_poly);

hi all

i have a plot and i want  make it symmetry into axes y.

restart;

I5:=Int((x^2)/((x^4-2*x0*x^2+x0^2+1)^(3/2)),x=0..infinity);
I6:=(1/2)*Int(1/(x^4-2*x0*x^2+x0^2+1)^(1/2),x=0..infinity);
f:=((-4/Pi)*((x0*I6-I5)/(x0*I5+I6)^(1/3)));
A:=1/(x0*I5+I6)^(2/3): #A:=Delta/eF

plot(A,x0=-3..5);

Hi,

 

I am trying to find the roots of Hankel function H1(2, z)?

 

j := 1;
for i from 0 to 10 do z0 := i*step+z_min; x[j] := fsolve(f = 0, z = z0, complex) end do;


for p to 10 do for j from p+1 to 9 do if `and`(Re(x[j])-Re(x[p]) < 0.1e-4, Im(x[j])-Im(x[p]) < 0.1e-4) then for i from j to 10 do x[i] := x[i+1] end do; p := p-1; break end if end do end do;

 

the first of these two processes works fine however the second does not. The second on is to get rid of same value solutions! I am not sure if I have missed anything and also is there a way to determine a max value in the complex domain and use it in a for loop?

 

 

any help would be great 

hi all

i have tow plots and i want to display them together, but i cant, plz help me

restart;

I5:=Int((x^2)/((x^4-2*x0*x^2+x0^2+1)^(3/2)),x=0..infinity);
I6:=(1/2)*Int(1/(x^4-2*x0*x^2+x0^2+1)^(1/2),x=0..infinity);
f:=((-4/Pi)*((x0*I6-I5)/(x0*I5+I6)^(1/3)));
B:=x0/(x0*I5+I6)^(2/3): #B:=mu/eF
C:=B/((16/Pi^2)*((x0*I6-I5)^2/(x0*I5+I6)^(2/3))): #C:=mu/epsilon0/2

p1:=plot(B,x0=0..4):
p2:=plot(C,x0=-3..0):
display({p1,p2},x0=-3..4);

 

 

After reading 

http://math.stackexchange.com/questions/674535/avoid-dividing-by-zero-with-just-variables-and-basic-operators 

I tried to check this 'trick' in maple, but see what happens in Maple 2015:

 

 

 what is the correct solution for 0^0?

 

Here the code for those who hate typing:

x := 0; 0^(x^2);
0
1
for x from -1 to 1 do print(x, evalf(0^(x^2), 20)) end do;
-1, 0.
0, 1.
1, 0.
for x from -1 by .1 to 1 do print(x, evalf(0^(x^2), 20)) end do;
-1, 0.
-0.9, 0.
-0.8, 0.
-0.7, 0.
-0.6, 0.
-0.5, 0.
-0.4, 0.
-0.3, 0.
-0.2, 0.
-0.1, 0.
0., Float(undefined)
0.1, 0.
0.2, 0.
0.3, 0.

 

Harry

Hello all! How to create this plot in Maple? 

hi all

how can i solve this program?

restart;
I5:=evalf(int((x^2)/((x^4-2*x0*x^2+x0^2+1)^(3/2)),x=0..infinity)):
I6:=evalf((1/2)*int(1/(x^4-2*x0*x^2+x0^2+1)^(1/2),x=0..infinity)):
A:=f-evalf((-4/Pi)*((x0*I6-I5)/(x0*I5+I6)^(1/3))):
B:=solve(A,x0);

I am attempting to write a Gaussian elimination routine to solve a system Ax = b using loops, but I have been having trouble.  Any help would be mcuh appreciated.  Thanks!

Hello,

I'm writing a code and I seem to have an issue when trying to implement a procedure. Here is the code:

 

with(plots):

Z := 75; A := 189; k := 14.6; Rm := 8*R; r0 := 10^(-8)*R; c := 137.036; ms := 105.66/(.51100)

fmtoau := 10^(-15)/(0.529177e-1*10^(-9)):

R := 1.1*fmtoau*A^(1.0/(3.0)):

f := proc (x) options operator, arrow; 1/(1+exp(k*(x-1))) end proc:

n0 := 3*Z*k^2/(4*Pi*(Pi^2+k^2)*R^3):

n := proc (r) options operator, arrow; 4*Pi*n0*f(r/R) end proc:

int(r^2*n(r), r = 0 .. Rm);

73.00000007

(1)

plot(n/n0, 0 .. 2*R);

 

v1 := unapply(int(x^2*f(x), x), x):

Vfermi := proc (r) options operator, arrow; -4*Pi*n0*R^2*(R*(v1(r/R)-v10)/r+v2Rm-v2(r/R)) end proc:

Vuniform := proc (r) options operator, arrow; piecewise(r < R, -Z*(3/2-(1/2)*r^2/R^2)/R, -Z/r) end proc:

plot([Vuniform(r), Vfermi(r), -Z/r], r = r0 .. 2*R, V = 1.2*Vfermi(r0) .. 0, legend = ["uniform charge", "Fermi distribution", "point charge"]);

 

``

plotsol1s := proc (E, K, r0, S, col) local Eqns, ICs, fnl, gnl, r, soln; global ms, c; Eqns := diff(fnl(r), r) = gnl(r)*[E+2*ms*c^2-Vuniform(r)]/c-(K+1)*fnl(r)/r, diff(gnl(r), r) = -fnl(r)*[E-Vuniform(r)]/c-(1-K)*fnl(r)/r; ICs := fnl(r0) = 1, gnl(r0) = 0; soln := dsolve({Eqns, ICs}, numeric); plots:-odeplot(soln, [r, fnl(r)], r0 .. S, color = col) end proc:

plotsol1s(-3*10^5, -1, 10^(-10), Rm, red)

Error, (in f) unable to store '[HFloat(0.0)]' when datatype=float[8]

 

``

``


Any help would be greatly appreciated.

 

Gambia Man

 

i got UI interface error when i install maple 15 into intel compute stick in window 8.1

It seem absurd that in Maple 18, why int(f(t),t) do not work instead one have to write Int(f(t),t) for indefinite integration?

 

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