Just around a month after the first release I am glad to announce the second public release of this project.

Changes from last release:

• added angled cuts to beam ends
• fixed bug for bolt connections with thick steel plates
• rewrite check if fasteners are placed within beams
• removed some obsolete procedures in NODEFunctions
• minor changes in XML file headers

For more information see https://github.com/Anthrazit68/NODEMaple.

i found solution of PDE but there is some different from my solution and paper solution so there is must be a mistake becuase he solved by maple too he mentioned in the paper i try to figure out but i can't see any mistake from my solution can anyone watch where i did mistake, i change some letter in finding parameter but they are same like p=k&h=A&n=p&w=n

here is paper solution 

parameter-different.mw

I was trying to look for an easy way to plot the locations of the distance and midpoint on a graph. I found how to get the distance and midpoint functions but plotting them is hard.

Thanks in advance.

Download How-to-plot-distance-midpoint.mw

i want to plot density i try to use code of [interactive] but didn't give me density 

>  >  Warning, A new binding for the name `gamma` has been created. The global instance of this name is still accessible using the :- prefix, :-`gamma`.  See ?protect for details.   >  >  >  >  {x, y, a[0], k[2], p[1], p[2]}   >  P :=   [  a[0]=1.2, k[2]=0.8, p[1]=-0.8, p[2]=0.4] (1) >  latex(P) [a_{0} =  1.2, k_{2} =  0.8, p_{1} = - 0.8, p_{2} =  0.4]   >  Assume some functional form for U(xi) >    insert numerical values >  solnum :=subs(P, sol3); (2) >  cg0 = 0.3200000000e1 / ((0.4000000000e0 * x - 0.8e0 * y) ^ 2 + (0.8e0 * x + 0.4e0 * y) ^ 2 + 0.12e1) - 0.5120000000e1 * x ^ 2 / ((0.4000000000e0 * x - 0.8e0 * y) ^ 2 + (0.8e0 * x + 0.4e0 * y) ^ 2 + 0.12e1) ^ 2;   >    >  >  >  Warning, expecting only range variables [x, y] in expression density(3.200000000/((.4000000000*x-.8*y)^2+(.8*x+.4*y)^2+1.2))+density(-5.120000000*x^2/((.4000000000*x-.8*y)^2+(.8*x+.4*y)^2+1.2)^2) to be plotted but found name density   Warning, expecting only range variables [x, y] in expression contour(3.200000000/((.4000000000*x-.8*y)^2+(.8*x+.4*y)^2+1.2))+contour(-5.120000000*x^2/((.4000000000*x-.8*y)^2+(.8*x+.4*y)^2+1.2)^2) to be plotted but found name contour

Download graph-density-countour.mw

Download F-params.mw

I first tried Threads and found that Maple dsolve does not work in threads (see https://www.mapleprimes.com/questions/239602-Error-in-Dsolve-Type-System-Does)

It was suggested there to use Grid instead of Threads. 

Now I got time to try Grid. My first test shows that Grid does not work with dsolve also.

Here is an example where dsolve solves this system of odes,. But when using Grid, Maple gives an internal error 

         Error, (in evalapply) cannot apply non-operator differential equation

Does this means one can't use Threads and also can't use Grid with dsolve? Or Am I doing something wrong?

This error happens on this specific ode. I tried 2-3 others and did not see an error. So it seems to depend to what the ode is.

Download dsolve_also_fail_in_grid.mw

in help for Grid:-Wait, it has an example where it says

And in help for Grid:-Setup it says

"The numnodes option allows you to specify the number of nodes to be used in subsequent computations.  This option is only available in "local" mode."

Is numnodes supposed to be the same as number of cores on my PC?  If so, then why numnodes=4 says this will insure it run run on 2 core machine?

Is this typo and it should be 4 core machine?

there is must be a problem but i didn't figure out ?  in this command didn't give me my parameter why?
vars1 := indets(eqs1);
ans := solve(eqs1, {a[0], a[1], a[2], a[3], a[4], e[1], k[1], n[1], p[1]});

parameter.mw

Download polar.mw

How i can find parameter after substitution in our pde 

Download N-soliton.mw

I want to calculate Hodge Star of forms on a solvable Lie algebra L, I have defined a metric tensor g on it. But when I use that g to compute the Hodge Star of an operator it tells me that the g is not a metric tensor.

with(DifferentialGeometry);
with(LieAlgebras);
A := Matrix(4, 4, [[A__11, A__12, A__13, A__14], [A__21, -A__11, A__23, A__24], [-A__24, -A__23, -A__11, A__21], [-A__14, -A__13, A__12, A__11]]);
x := [x__1, x__2, x__3, x__4, x__5, x__6];
StructureEquations := [[x[6], x[1]] = a*x[1], [x[6], x[2]] = add(A[1, i]*x[i + 1], i = 1 .. 4), [x[6], x[3]] = add(A[2, i]*x[i + 1], i = 1 .. 4), [x[6], x[4]] = add(A[3, i]*x[i + 1], i = 1 .. 4), [x[6], x[5]] = add(A[4, i]*x[i + 1], i = 1 .. 4)];
L := LieAlgebraData(StructureEquations, [x[1], x[2], x[3], x[4], x[5], x[6]], Alg1);
DGsetup(L);
with(Tensor);
e := [e1, e2, e3, e4, e5, e6];
theta := [theta1, theta2, theta3, theta4, theta5, theta6];
omega := evalDG(add(theta[i] &wedge theta[7 - i], i = 1 .. 3));
g := evalDG(add(theta[i] &t theta[7 - i], i = 1 .. 3));
HodgeStar(g, theta1)

It is showing the following error,

Error, (in DifferentialGeometry:-Tensor:-HodgeStar) expected 1st argument to be a metric tensor. Received: _DG([["tensor", Alg1, [["cov_bas", "cov_bas"], []]], [`...`]])

How can I correct this? If not is there an alternative of doing what I am trying to do?

i try to get same result by substituation but i don't know what is mistake after i take second derivative is wronge i don't know how get same result as in paper did can anyone help  to calculate this part is not hard but is complicated ,How calculated second derivative and put in our ode to get the parameters?

Download complex-issue.mw

How do I generate a plot within a plot as shown in my example below? The fundemental issue is plot structures like Histogram() etc are not images and so combining them in the way I imagine is non-trivial. I couldn't find a standard way to do this in the help section.

Plot_within_a_plot.mw

Download Plot_within_a_plot.mw

Is there an easy way to get the midpoint and distance in maple?

Thanks in advance.

Download 2.1-Distance_and_Midpoint.mw

Can maple simplify a Combined Inequality? At best it outputs imho a more complicated solution.

Thanks in Advance.

Download Combined_Inequality.mw