I have noticed that there exists a Stack Exchange site for mathematica, and not for maple. My discussions with the part of Stack Exchange that handle the creation of a new Stack Exchange community have said that I must accrue a certain level of interest in the subject in order for it to be approved, and so I thought I would begin here to see if there is suffice level of interest.

This would not diminish the use of the Maple Primes forum, and an additional proposal, in consideration of the years of dedication that have gone into this domain, be to pool the data between the two, make reputation points the same on both, perhaps even user profiles and questions answered already linkable, and all of the questions already addressed here showing up in the search on both domains.

I am proposing this simply because I want to encourage the use of maple, and have noted that Stack Exchange is very popular. 

So I am posting this to get overall feedback from other Maple users, as to what their opinion is regarding this proposal, and advice on whether it should and how it ought to be pursued.

Is Maple capable of printing functional html links? That is can a Maple code output an html link that actually works?

I have the following trigonometric expression:

detA:= -(-((-16*cosh(beta*`ℓ`*xi[2])*sinh(beta*`ℓ`)+16*sinh(beta*`ℓ`*xi[2])*cosh(beta*`ℓ`))*sinh(beta*xi[1]*`ℓ`)+(-16*sin(beta*`ℓ`*xi[2])*cos(beta*`ℓ`)+16*cos(beta*`ℓ`*xi[2])*sin(beta*`ℓ`))*sin(beta*xi[1]*`ℓ`)-(16*(-sin(beta*`ℓ`*xi[2])*sin(beta*`ℓ`)+cosh(beta*`ℓ`*xi[2])*cosh(beta*`ℓ`)-sinh(beta*`ℓ`*xi[2])*sinh(beta*`ℓ`)-cos(beta*`ℓ`*xi[2])*cos(beta*`ℓ`)))*(cos(beta*xi[1]*`ℓ`)-cosh(beta*xi[1]*`ℓ`)))*sin(beta*`ℓ`*xi[2])+16*cos(beta*`ℓ`*xi[2])*((sin(beta*`ℓ`*xi[2])*sin(beta*`ℓ`)-cosh(beta*`ℓ`*xi[2])*cosh(beta*`ℓ`)+sinh(beta*`ℓ`*xi[2])*sinh(beta*`ℓ`)+cos(beta*`ℓ`*xi[2])*cos(beta*`ℓ`))*sin(beta*xi[1]*`ℓ`)+(sin(beta*`ℓ`*xi[2])*cos(beta*`ℓ`)-cos(beta*`ℓ`*xi[2])*sin(beta*`ℓ`))*(cos(beta*xi[1]*`ℓ`)-cosh(beta*xi[1]*`ℓ`))))*sinh(beta*`ℓ`*xi[2])+16*cosh(beta*`ℓ`*xi[2])*((sin(beta*`ℓ`*xi[2])*sin(beta*`ℓ`)-cosh(beta*`ℓ`*xi[2])*cosh(beta*`ℓ`)+sinh(beta*`ℓ`*xi[2])*sinh(beta*`ℓ`)+cos(beta*`ℓ`*xi[2])*cos(beta*`ℓ`))*sinh(beta*xi[1]*`ℓ`)+(sinh(beta*`ℓ`*xi[2])*cosh(beta*`ℓ`)-cosh(beta*`ℓ`*xi[2])*sinh(beta*`ℓ`))*(cos(beta*xi[1]*`ℓ`)-cosh(beta*xi[1]*`ℓ`)))*sin(beta*`ℓ`*xi[2])-(16*(cos(beta*`ℓ`*xi[2])*cosh(beta*`ℓ`*xi[2])-1))*((sin(beta*`ℓ`*xi[2])*cos(beta*`ℓ`)-cos(beta*`ℓ`*xi[2])*sin(beta*`ℓ`))*sinh(beta*xi[1]*`ℓ`)+sin(beta*xi[1]*`ℓ`)*(sinh(beta*`ℓ`*xi[2])*cosh(beta*`ℓ`)-cosh(beta*`ℓ`*xi[2])*sinh(beta*`ℓ`)))

where:

xi1_val:= 0.05:
xi2_val:= 0.10:
ell_val:= 12:

I want to determine the roots "beta[1]..beta[N]" of this expression. For this, I have tried:

evalf(subs([xi[1] = xi1_val, xi[2] = xi2_val, `ℓ` = ell_val], detA)):
sol_beta:= Student[Calculus1][Roots](%, 1e-5..15);

which yields:

sol_beta:= [10.4719755]

However, I'm pretty sure there is another root before this, as we can see by the plot of the function:

plot(subs([xi[1] = xi1_val, xi[2] = xi2_val, `ℓ` = ell_val], detA), beta = 5.2..5.3,
    axes = boxed,
    gridlines = true,
    labels = [typeset(beta), typeset(`det A`)],
    size = [0.5,0.5]
    );

it is clear that there is a root about beta = 5.2359, which is not captured by "Roots" function.

Can someone help me build an algorythm that will get all roots wihtin a given interval? Particularly, I need it to be an efficient routine, because I will later vary parameters "xi[1]" and "xi[2]" and make a surface with the solutions. So I will run it several times.

restart:
k:=1:
M:=3:
U:=Matrix( (2^(k))*M,(2^(k))*M,symbol=u);

I defined a matrix U.

How to define all elements of the Matrix U is greater than 1? ( U consists of symbolic elements like u[1,1],u[1,2], etc. and all of them is greater than 1 )

I get the error message: 'There were problems furin the loading process. Your worksheet may be incomplete.'

The file appears empty. Please, can I get a help to recover the file.

Calculation1.mw

I got a list containing all non isomorphic connected graphs with 6 vertices. Total number of the list members is 112 , and they are not too many . So I want to draw them all . It is good for Maple worksheet .
 
In order to save it and print it out on paper, I import it as pdf form . But the problem is that every page in pdf only contains 8 graphs . It wastes wasted too many spaces. It is unreasonable . I want to draw 20-30 graphs in one page of pdf. What is the solution to my problems? Thanks in advance. This problem has puzzled me for a long time.

with(GraphTheory):
s1:=[NonIsomorphicGraphs(6,restrictto = connected,output=graphs,outputform=graph)]:
DrawGraph~(s1);

Hi all;

I need to compute the stabilizing feedback for the system of nonlinear ODEs

stabilizing_Feedback.mw

Many thanks for your help

I tried to solve the following equation to find an explicit expression for x in terms of n. But the answer is a long relation in terms of RootOf and _Z. 

(1/4)*((-x^2+1)*(-4*Pi*(x^2-1)+n*(x^4-2*x^2+5))*cosh(n*x)*sinh(Pi*x)+sinh(n*x)*((-x^2+1)*(-4*n*(x^2-1)+Pi*(x^4-2*x^2+5))*cosh(Pi*x)-2*x*(x^4-2*x^2-3)*sinh(Pi*x)))/(x^2-1)^2=0

Any comment is welcomed.

F(0) := a; F(1) := b; F(2) := c; F(3) := d

for k from 0 to 1 do F(k+4) := -(N[1]*G(k)+Re*(sum(F(k-m)*(m+1)*(m+2)*(m+3)*F(m+3), m = 0 .. k))-Re*(sum((k-m+1)*F(k-m+1)*(m+1)*(m+2)*F(m+2), m = 0 .. k)))/((1+N[1])*(k+1)*(k+2)*(k+3)*(k+4)) end do

How to plot a graph for this equation with different values of N_1 and Re number

f(x):=1+B*x-(1/12)*B*x^3+0.1666666667e-4*B^3*x^3-4.166666667*10^(-8)*B^4*x^4+(1/160)*B*x^5+8.333333333*10^(-11)*B^5*x^5-0.5000000000e-2*B^2*x^2+0.1666666667e-4*B*x^3*C^2-4.166666667*10^(-8)*B*x^4*C^3+8.333333333*10^(-11)*B*x^5*C^4-0.5000000000e-2*B*C*x^2+0.3333333333e-4*B^2*x^3*C-1.250000000*10^(-7)*B^3*x^4*C-1.250000000*10^(-7)*B^2*x^4*C^2+3.333333333*10^(-10)*B^4*x^5*C+5.000000000*10^(-10)*B^3*x^5*C^2+3.333333333*10^(-10)*B^2*x^5*C^3+0.7291666667e-3*B*x^4*C-0.3333333333e-5*B*x^5*C^2+0.6250000000e-3*B^2*x^4-0.2083333333e-5*B^3*x^5-0.5416666667e-5*B^2*x^5*C;

How to plot f(x) with B and C are animation variables wih range -5 to 5?

Dear Users!

Hoped everyone fine here. I have three main questions regarding the maple code given bellow:

restart; with(LinearAlgebra); with(plots);

alpha := 1; beta := 1; theta := 1/2;

UU := sinh(x)*sinh(y)*sinh(z)*exp(-1.*t);

NN := 3; L := 0; R := 1; T := 1; N := NN; Mx := NN; My := NN; Mz := NN; `Δx` := (R-L)/Mx; `Δy` := (R-L)/My; `Δz` := (R-L)/Mz; `Δt` := (R-L)/N;

kappa[1] := 1; kappa[2] := 2/x^2; kappa[3] := 1/x^2; kappa[X] := x^2+y^2+z^2+1; kappa[Y] := x^2+y^2+z^2+1; kappa[Z] := x^2+y^2+z^2+1; kappa[4] := 0; NL := 3;

ics := [seq(seq(seq([u[i, j, k, 0] = eval(UU, [x = i*`Δx`, y = j*`Δy`, z = k*`Δz`, t = 0]), u[i, j, k, -1] = eval(u[i, j, k, 1]-2*`Δt`*(eval(diff(UU, t), t = 0)), [x = i*`Δx`, y = j*`Δy`, z = k*`Δz`, t = 0])][], i = 0 .. Mx), j = 0 .. My), k = 0 .. Mz)];

bcs := [seq(seq(seq([u[0, j, k, n] = eval(UU, [x = 0, y = j*`Δy`, z = k*`Δz`, t = n*`Δt`]), u[Mx, j, k, n] = eval(UU, [x = L, y = j*`Δy`, z = k*`Δz`, t = n*`Δt`])][], j = 0 .. My), k = 0 .. Mz), n = 1 .. N), seq(seq(seq([u[i, 0, k, n] = eval(UU, [x = i*`Δx`, y = 0, z = k*`Δz`, t = n*`Δt`]), u[i, My, k, n] = eval(UU, [x = i*`Δx`, y = L, z = k*`Δz`, t = n*`Δt`])][], i = 1 .. Mx-1), k = 0 .. Mz), n = 1 .. N), seq(seq(seq([u[i, j, 0, n] = eval(UU, [x = i*`Δx`, y = j*`Δy`, z = 0, t = n*`Δt`]), u[i, j, Mz, n] = eval(UU, [x = i*`Δx`, y = j*`Δy`, z = L, t = n*`Δt`])][], i = 1 .. Mx-1), j = 1 .. My-1), n = 1 .. N)];
Sol := {u[1, 1, 1, 1] = 0.2366497936e-1, u[1, 1, 1, 2] = 0.7589975856e-2, u[1, 1, 1, 3] = 0.6029906475e-3, u[1, 1, 2, 1] = 0.3778786317e-1, u[1, 1, 2, 2] = 0.7126415819e-2, u[1, 1, 2, 3] = -0.1197885714e-2, u[1, 2, 1, 1] = 0.3778786315e-1, u[1, 2, 1, 2] = 0.7126415820e-2, u[1, 2, 1, 3] = -0.1197885718e-2, u[1, 2, 2, 1] = 0.6038763054e-1, u[1, 2, 2, 2] = 0.4264591907e-2, u[1, 2, 2, 3] = -0.3509477851e-2, u[2, 1, 1, 1] = 0.3171958616e-1, u[2, 1, 1, 2] = -0.1327161715e-1, u[2, 1, 1, 3] = -0.4628647419e-2, u[2, 1, 2, 1] = 0.4979852397e-1, u[2, 1, 2, 2] = -0.3060811899e-1, u[2, 1, 2, 3] = -0.344914876e-4, u[2, 2, 1, 1] = 0.4979852397e-1, u[2, 2, 1, 2] = -0.3060811898e-1, u[2, 2, 1, 3] = -0.3449150010e-4, u[2, 2, 2, 1] = 0.7882396741e-1, u[2, 2, 2, 2] = -0.6192340018e-1, u[2, 2, 2, 3] = 0.1156615222e-1}

Using set of points given in ics, bcs and Sol

1. I want to contruct a vector at any time level (by fixing fourth suffix like u[i,j,k,n]) for i = 0..Mx,j=0..My,k=0..Mz and then find its L2 and L[infinity] norms.

2. Next I want contruct a vector by fixing two suffixes like u[i,j,k,n]) for i = 0..Mx,j=0..My and plot a surface in 3D

3. Finally I want to construct a vector by fixing three suffixes like u[i,j,k,n]) for i = 0..Mx, and plot a curve in 2D.

I'm waiting for your positive respone. I shall be very thankfull to you in advance.

Special request to:
@acer @Carl Love @Kitonum @Preben Alsholm

j:=500:tp:=0.07*j:Ap:=0.25:Aq:=0.3:tq:=0.03*j:tr1:=0.05*j:Ar:=2:As:=0.4:tr2:=0.04*j:ts:=0.04*j:tt:=0.17*j:At:=0.4:
u1:=0:
u2:=(Ap/2)*(sin((2*Pi*t/tp)+(3*Pi/2))+1);
u3:=0:
u4:=-(Aq/tq)*t:
u5:=(((Ar+ Aq)/tr1)*t)-Aq:
u6:=-(((Ar+ As)/tr2)*t)+Ar:
u7:=((As/ts)*t)- As:
u8:=0:
u9:=(At/2)*(sin((2*Pi*t/tt)+(3*Pi/2))+1):
u10:=0:
     u2 := -0.1250000000 cos(0.1795195802 t) + 0.1250000000

r1:=plot([u1],t=1..0.1*j):
r2:=plot([u2],t=1..tp):
r3:=plot([u3],t=1..0.08*j):
r4:=plot([u4],t=1..tq):
r5:=plot([u5],t=1..tr1):
r6:=plot([u6],t=1..tr2):
r7:=plot([u7],t=1..ts):
r8:=plot([u8],t=1..0.1*j):
r9:=plot([u9],t=1..tt):
r10:=plot([u10],t=1..0.08*j):
with(plots):
display(r1,r2,r3,r4,r5,r6,r7,r8,r9,r10,view=[0..100,-1..3],axes=boxed);

the same above code works in matlab

in maple it isnot

Hi! 

It seem like im not the only one with this problem, but i have a corrupted maple file containing much of my work throughout the semester, and now i cant open it, giving me the error message: "There were problems during the loading process. Your worksheet may be incomplete." It seems like im not the only one with this problem.. So im hoping that there is someone out there who can recover the document, or atleast parts of it. If so i would be very gratefull.. 

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/Opgaver_på_klassen_(1).mw .
 

Download Opgaver_på_klassen_(1).mw
 

L1:=[1,2,5,6,9]:

L2:=[0,-2,5,6,9]:

fourthNONLINEARBOUD234.mwfourthNONLINEARBOUD234.mw
 

Download fourthNONLINEARBOUD234.mw