Hi All. Hope all is well.

Assume that we have partitioned [0,a], into N equidistant subintervals and in each subinterval we have M sets of polynomials of arbitrary form[say b_ij(t)](a.e Taylor series, or Bernstein series,…)

for Example with N=4, M=3 and by Taylor series we have:

now we want to approximate a function, asy f(t), in this interval with following form:

If we have:

(Tau is a constant number)
then: How can  we find L and Z matrices using maple? Is it any way? (or other softwares?)

Regards

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

I was given that solitary initial state to see how it will deform as time goes on. am struggling to get my code so that I can get video frames. please help on how I can generate my code

u_o(x)= a₀x²(1-x)² for x (less than or equal to) x (less than or equal) 1

u₀(x)    = 0 for x > 1

the video clips will be representing the function u(*,t) :x to u(x,t)

for a sequence of choices of t such as t=0; t=0,5...t=3

 “Error, too many levels of recursion” ,but there’s just a single expression.

How can this happen?

The help documents read，

“

 The function unames returns an expression sequence consisting of all the active names in the current Maple session which are ``unassigned names''.

“

But what unames() returns is obviously not the contents one expects:

Hello,

It is not a very important question... but i like when i have a nice worksheet.

I would like to change the color of the maple input. Unfortunately, i manage to change the color for the inputs already created but not for the new maple input.

How can i change the color for the new maple input i want to create ?

Thank you for your help.

How can I solve raychaudhuri equations numerically using GRtensor?

g := (-12*y^2+1)/(4*y^2+1)^3 * ln(abs(-1+2^(1-x-I*y)));

Compute Int(g, [x=1/2 .. infinity, y=0 .. infinity]).

PS: this stems from How to calculate hard integral?, 
but it is not related to the RH.

Help Please! :)
As it is seen in the picture, I can not integrate the power series. In contrast, the differentiation works!
what is wrong?

I wish to  plot 2D animate for the soltion of this equation here is the code

restart;
with(PDEtools):
with(ArrayTools):
with(plots):

f:=u->sech(u):
g:=v->sech(v):
h:=1/10:
N:=20:
M:=20:
V:=x->x^2:
psi:=Array(0..N/h+1,0..M/h+1):
for i from 0 to N/h do
psi[i,0]:=evalf(f(i*h)):
od:
for j from 0 to M/h do
psi[0,j]:=evalf(g(j*h)):
od:
for i from 1 to N/h do
for j from 1 to M/h do
psi[i,j]:=-psi[i-1, j-1]+(1-(1/8)*h^2*V((1/2)*h*(j-i-1)))*psi[i, j-1]+(1-(1/8)*h^2*V((1/2)*h*(j- i+1)))*psi[i-1,j]:
od:
od:
ls:=[seq([seq([i*h,j*h,psi[i,j]],i=0..N/h)],j=0..M/h)]:

surfdata((ls),axes=boxed,labels=[`u`,`v`,`psi(u,v)`],shading=zhue,style=patchcontour);

Hey, 

I am trying to write a single procedure to find the root of any function using the Newton-Raphson method, given the initial approximation and the tolerance. If this fails to converge, the program must then use the Bisection method to find the root. Need some help please. The current procedure i have done is only coming out with the first Iteration 

Thanks for the help!

how to singularize existing function?

any group theory can describe the singularity function?

Good day, please how can one solve these BVPs using FINITE DIFFERENCE METHOD in maple. Here is the problem FDM.mw

I have some questions about Mobius Project:

1. What is the license of the worksheets posted on Mobius Project's website?
   I can not find any information about the license of the materials submitted to the Mobius Project.
   Is my worksheets are protected by intellectual property laws and copyrighted by me?
   Or it is freely available for any use for everyone?
2. What are the terms of use of Mobius Project and its service? I can not find it anywhere.
3. What is the copyright for http://mobius.maplesoft.com/?
   I do not see any copyright in the footer of the site or elsewhere.
   So, no copyrights mean the materials/resources on this website can be freely copied/used by anyone?

hello,

i have unistalled maple, now i have to give the license server name and the purchase code to reactivate it, how can i do?? where i can find them?

someone can help me?!

In order to make worksheets more interactive in a teaching environment I have begun playing around with the Tables the standard GUI provides. The idea is that in the left column is the script we are working through while in the right column is space a student can work with the equations and formulae from the left side to, e.g., plot, change parameters etc. without affecting the script too much.

To build the tables I copy-pasted code from a normal worksheet (in document mode) into the left column, creating rows of appropriate length to have a logically coherent section in one row. Usually one row is one Section (in the technical sense of Maple Sections). The student gets to play in the right column.

In principle this seems to work quite well in my preliminary testing. I did find out rather quickly that on the right side one needs to be in 1-d input mode with a prompt for anything to be calculated interactively. Ok, actually probably easier to do. The table is set to evaluate by row so the right-left correspondence is preserved.

A potential issue I am facing however is with equation numbering: I use equation numbers extensively to reference back to upstream results. In the Table, it appears that equation numbers are not unique; in each row of the Table, eq. numbers start as (1.1), (1.2) etc. I am able to reference back to results from a prior row, even though the same equation number will show up again later in the new row. But I am concerned that eventually this all ends up in a big mess and my references point to the wrong expression or equation. Non-unique line numbers seem like a Really Bad Idea, and I'd like to avoid that if possible.

Does anyone know how the lines numbers work for code in Tables and how I make sure they are unique? I suppose I could explicitly assign results I need in other rows to names, but that does not prevent a reference to an eq. number from pulling in the wrong one from a prior row (assuming for the moment that Maple will never look forward to resolve a reference).

Thanks,

Mac Dude