Dear maple users,

A fine day wishes to all.

Here, we have computed the fN(x,t) value by using pdsolve.

We have to integrate the computed value and need to find the values with the sequence of x.

A1:=int(fN(x,1.12),x) 

A2:=seq(A1,x=0..1,0.1)

How to integrate the computed values 

And, How to find the values for the sequence of x.

JVB1.mw
 

Download JVB1.mw

I would like to show : in a quadrilateral circumscribed to an ellipse, the line passing through the middle of the diagonals passes through the centre of the ellipse.
My code is :

restart; with(geometry): with(plots): `local`(O):
_EnvHorizontalName := x: _EnvVerticalName := y:

alias(coor = coordinates):
ell := x^2/a^2+y^2/b^2 = 1:
point(P1,a*cos(omega), b*sin(omega)):
point(P2,a*cos(omega-(1/2)*Pi), b*sin(omega-(1/2)*Pi)): 
point(P3,a*cos(omega+(8/7)*Pi), b*sin(omega+(8/7)*Pi)):
point(P4,a*cos(omega+5*Pi*(1/2)), b*sin(omega+5*Pi*(1/2))):
a := 5: b := 3: omega := (1/5)*Pi:
Ell := implicitplot(ell, x = -a .. a, y = -b .. b, color = red): 
dr := draw([seq(P || k, k = 1 .. 4)], axes = normal, printtext = true):

for i from 1 to 4 do tgP||i := x*coor(P||i)[1]/a^2+y*coor(P||i)[2]/b^2 = 1 od:
poly := Matrix([coor(P1), coor(P2), coor(P3), coor(P4)]):
Quadri := polygonplot(poly, axes = normal, color = "DarkGreen", transparency = .8):

with(combinat): with(ListTools):
L := [1, 2, 3, 4]:
for i from 1 to 4 do Rotate(L, i)[1] od:
for i to 4 do solve({(tgP || Rotate)(L, i)[1], tgP || i}, {x, y}); point(S || i, subs(%, x), subs(%, y)); coor(S || i) end do;
Error, invalid input: subs received 1, which is not valid for its 1st argument
#otherwise
solve({tgP1, tgP2}, {x, y}): point(S1, subs(%, x), subs(%, y)); coor(S1):
                               S1
solve({tgP2, tgP3}, {x, y}): point(S2, subs(%, x), subs(%, y)); coor(S2):
                               S2
solve({tgP3, tgP4}, {x, y}): point(S3, subs(%, x), subs(%, y)); coor(S3):
                               S3
solve({tgP1, tgP4}, {x, y}): point(S4, subs(%, x), subs(%, y)); coor(S4):
                               S4

poly := Matrix([coor(S1), coor(S2), coor(S3), coor(S4)]):
Quadri2 := polygonplot(poly, axes = normal, color = "DarkGreen", transparency = .9):
#dr2:=draw(seq(S||k,k =1..4), axes = normal, printtext = true):
line(diag13, [S1, S3]): line(diag24, [S2, S4]): midpoint(M1, S1, S3): midpoint(M2, S4, S2): 
line(Lm, [M1, M2]):
dr2 := draw([S1, S2, S3, S4, M1, M2, Lm(color = black), diag13, diag24], axes = normal, printtext = true):
for i from 1 to 4 do
TgP||i := implicitplot(tgP||i, x = -a-5 .. a+5, y = -b-5 .. b+5, color = blue) od:
display([Ell, seq(TgP||i,i=1..4), Quadri, Quadri2,dr,dr2], view = [-a-5 .. a+3, -b-2 .. b+2], 
scaling = constrained, size = [700, 700]); Thank you for your answere.

How create a rtable with a global indexing variable outside the procedures and use it inside the procedure's the same rttable with index as global

RA := rtable(1 .. 5, 1 .. 5)

ik := 1

s := proc() global ik; RA[ik, 1] := 1; ik := ik + 1; RA[ik, 2] := 2; ik := ik + 1; end proc;

t := proc() global ik; RA[ik, 3] := 3; ik := ik + 1; RA[ik, 4] := 4; ik := ik + 1; end proc;

I dont want pass the RA to the procedure as a parameter I want declare the table RA as global and it to useable inside every procedure how to did if I have lot procedure and procedure within a procedure calls

B(4) := x^4 - 4*x^3/(2 + p) - 6*(p - 1)*x^2/((3 + p)*(2 + p)) - 4*p*(p - 5)*x/((4 + p)*(3 + p)*(2 + p)) - (p - 1)*(p^2 - 15*p - 4)/((5 + p)*(4 + p)*(3 + p)*(2 + p));
for p from -1 to 5000 do
    A(p) := fsolve(B(4), x, ':-complex');
end do;
Error, (in fsolve) p is in the equation, and is not solved for
ptlist := [0];
for j from -1 to 5000 do
    ptlist := [op(ptlist), A(j)];
end do;
with(plots);
complexplot(ptlist, x = -1 .. 1.5, y = -0.5 .. 0.5, style = point);

I get an error with this code, but when I replace B(4) with its assignment in fsovle, it works. Why is this, and is there a way I can write B(4) instead of the longer expression x^4 - 4*x^3/(2 + p) - 6*(p - 1)*x^2/((3 + p)*(2 + p)) - 4*p*(p - 5)*x/((4 + p)*(3 + p)*(2 + p)) - (p - 1)*(p^2 - 15*p - 4)/((5 + p)*(4 + p)*(3 + p)*(2 + p)) in the fsolve argument?

ishak.mw
 

Download ishak.mw

Good day every one;

please im soliciting for a help on how to plot my Nusselt number and Skin friction.

The attached is plotting against the dependent variable (eta) but i want skin friction (f  ' ' ) against N or Pr not against eta 

thank you for your help in aticipation

I have the following polynomials, and I want to multiply each term of the polynomial by the least common denomiator, so that the denominators are cleared. However, I want to keep the products and powers of terms together. So for example, B(2) should become (2+p)(3+p)x^2-2(3+p)x-p-1.

How can I accomplish this? Alternatively, given the following polynomials, I want to factor only the expressions of p in the brackets, so we have (2+p), (2+p)(3+p), etc.

Hi, 

I'm trying to solve an ODE. I don't understand why Maple returns nothing when I run this code. 

with(ODETools):
dsolve(diff(y(x), x) = (6*y(x)^5 - 3*y(x)*x^2 - 20*y(x)^3*x)/(-4*x^3 + 30*y(x)^2*x^2 - 30*y(x)^4 + 7*y(x)^6), y(x));

I don't have any error messages, it just doesn't return anything.

Thank you very much for your time and your help. 

Hello. Plotting a graph in the polar coordinate system using polar plot (example). Is it possible to make it display 90 degrees instead of Pi/2, 45 degrees instead of Pi/4, and so on. Thanks

Hello,

How to solve an equation like and show all values ?

Thanks

Whenever i press F5, Maple will switch to nonexecutable math so I have to press it once more to go to math. This is very annoying. I would very much like to have it just switch between math and text when i press F5 like it used to do. 
How do I make it so?

Please help.

I tried to change my email on my account, and got a message that an email was sent to confirm, but never got an email.
I may have more than one account, because I tried to change my user name, but I can't log onto that account so I tried password reset, and the same thing. I got a message that an email was sent, but I haven't received that either.

I'm logged in now, but I suspect I won't be able to get back in.

my email is mgmcderm@gmail.com

I didn't realize until now that ExcelTools:-Import will not return a value for a cell that has an equation inside. Am I doing something wrong?

I'm trying to do some manipulation of expressions that contain products of scalars and non-commuting operators (as defined by the physics package). The worksheet below shows this on a particular example. I can imagine a long/tedious way to do this, but perhaps the two key steps outlined below might be easily handled by some pattern-matching maple trickery, that is obvious to the pros here? 

In short, I need to convert expressions of the general form:

to something like:

expr3:=alpha*f([Sx,Sz, Sz]) + beta*f([Sy,Sz]) + gamma*f([Sz, Sy, Sx]) + f([Sx]) + beta^2;

... with the caveat that the 'Sk' are operators (and their products could be of an arbitrary length).

The context here (for those who care) is basically to use the nice handling of non-commutative algebra of the Physics package to write down some Heisenberg equations of motion for a given system, and then approximate those using a cummulant expansion (this is in practice really tedious to do by hand in even simple systems, but arguably the most painful part is trivially done by the physics' package nice handling and sorting of the non commuting oprators). That, in essence requires one to transform larger products of non-commuting operators into smaller products (so say approximating an expectation value of 3-operator product as a sum of 2-operator peoducts and single operators). 

If anyone has ideas how best to approach this in the maple-ish way, please let me know.

thanks!

Download cumulant.mw

Hello, 

Im having trouble fully opening the contents of my maple file. Only half of the doucment is showing up.

I get the following message: "There were problems during the loading process, Your worksheet may be incomplete."

There is also no bak. file available. 

Can anyone please help?

matOpgaver_1.mw.zip

sys_ode.mw 

sys := -diff(g(x), x)*e^(c*x)*c/(3*t) + f(x) = 0, t*(c*e^(2*c*x)*diff(g(x), x) + t*e^(c*x)*(2*c^2 + 3*f(x) - 1))*diff(f(x), x) + 6*c^2*(diff(f(x), x, x)*t*e^(2*c*x) + diff(f(x), x, x, x)*e^(3*c*x)/3) = 0. I have attached worksheet. Please solve this system,of ODE.