Maple 13 Questions and Posts

These are Posts and Questions associated with the product, Maple 13

i am new on maple while usig maple i have to substitute a general value in an equation but could not do it like

> restart;
> taylor(f(x), x = gamma);

i typed this and want to replace x-gamma with e[n] which is easy and i did it but whn i want to substitute D(f)(gamma),(D@@2)(f)(gamma) and so on by (D@@k)(f)(gamma)=k!*c[k]*f(gamma) then i could not understand how can i do 2nd part 
pls help in this i m very thanlful to you

 

Dear hope you will fine. I am try to make a program of square free factorization over a finite field whose alogrithm is below:

Algorithm: SFF (Square-Free Factorization)
  Input: A monic polynomial f in Fq[x]
Output: Square-free factorization of f

i←1; R ← 1; gf′;
  if g ≠ 0 then {
     cgcd(f, g);
     wf/c;
     while w ≠ 1 do {
           ygcd(w, c); zw/y;
           RR·zi; i ← i+1; 
           wy; cc/y }
     if c ≠ 1 then {
           cc1/p;
           Output(R·SFF(c)p) }
     else  Output(R)
  else {
           ff1/p;
           Output(SFF(f)p) }
  end.

The attached file my try to make this, please find and help me to complete this. I am waiting your kind response.

Help.mw

With my best regards and sincerely.

 

Dear

Hope everything going fine with you. I have question

f := x^11+2*x^9+2*x^8+x^6+x^5+2*x^3+2*x^2+1

g := 2*x^10+x^7+2*x^4+x

 

if we take gcd of infinite field its answer is x^6+1 

and the GCD(3)[x]=Z_3[x] is given by x^9+2x^6+x^3+2

How we find GCD(3)[x] in maple. 

With my best regards and sincerely.

 

 

EF.3.mwHi, I want to ask that how to find the exact solution of equation without applying any technique

Hello 

I have maple 13, and I installed two new packages, the problem that I don't know where should I saved them and how to make them active to start using there routines ??? 

So pleas any one know how to add packages to maple 13, help me    :) 

 

Hi there

I use Maple13 for plotting the surface of revolution of y=x^2 around the line y=1 on the interval [1,2]. But the distance between the surface 

and the vertical axis is ignored while there must be 1 unit distance.please specify the correct command.

Thanks for your cooperation

Regards

M. R. Yegan

I have the following code of a plot:

plot(
[
add(BS(bb[4], t, i, 3)*bb[1](i+1), i = 0..n),
add(BS(bb[4], t, i, 3)*bb[2](i+1), i = 0..n),
t = 0..1
],
color=red, axes=normal, scaling=constrained, numpoints=100, thickness=2
):

and I get the following error:

Error, (in BS) cannot determine if this expression is true or false: 0 <= t and t < .54901960784313725490196078431373

The problem is that, in the definition of BS, there are some conditions that depend on the variable t. It seems that Maple does not use a specific value of t when executing BS. My solution is to plot specific points, i.e., 

plot(
[
seq([add(BS(bb[4], h/5000, i, 3)*bb[1](i+1), i = 0..n),
add(BS(bb[4], h/5000, i, 3)*bb[2](i+1), i = 0..n)], h=0..5000)
],
color=red, axes=normal, scaling=constrained, numpoints=100, thickness=2
):

Can this be done in a more elegant way?

 

 

HPM_4.mwhi, I am using homotopy perturbation technique but there is arising an error in comaring coeffecient of p^0, p^1,.... plz help me

 

LE.2a.E.LGM.mwHi, my this programme is executing for linear part but does'nt show the proper results for non linear,plz tell me appropriate code

> coth;
                                    coth
> restart;
> c := 0;
                                      0
> w := -2*mu;
                                    -2 mu
> a[-1] := 0;
                                      0
> a[0] := mu*lambda*sqrt(-6*a);
                                            (1/2)
                            mu lambda (-6 a)     
> a[1] := (6*(mu*lambda^2+1))/sqrt(-6*a);
                               /         2    \
                             6 \mu lambda  + 1/
                             ------------------
                                      (1/2)    
                                (-6 a)         
> b[-1] := 0;
                                      0
> b[0] := 0;
                                      0
> b[1] := 0;
                                      0
> xi := x+w*t;
                                 x - 2 mu t
> P := sqrt(-mu)*coth(A+sqrt(-mu)*xi);
                     (1/2)     /         (1/2)             \
                (-mu)      coth\A + (-mu)      (x - 2 mu t)/
> u := a[0]+a[1]*P/(1+lambda*P)+a[-1]*(1+lambda*P)/P+b[0]*sqrt(sigma*(1+P^2/mu))/P+b[1]*sqrt(sigma*(1+P^2/mu))+b[-1]*sqrt(sigma*(1+P^2/mu))/P^2;
                 (1/2)
 mu lambda (-6 a)     

           /         2    \      (1/2)     /         (1/2)             \   
         6 \mu lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/   
    + ---------------------------------------------------------------------
            (1/2) /                (1/2)     /         (1/2)             \\
      (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//
> Diff(u, t)+a*u^2*(Diff(u, x))+Diff(u, `$`(x, 3));
/    /                     
| d  |                (1/2)
|--- |mu lambda (-6 a)     
| dt |                     
\    \                     

          /         2    \      (1/2)     /         (1/2)             \   \\     /          
        6 \mu lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/   ||     |          
   + ---------------------------------------------------------------------|| + a |mu lambda
           (1/2) /                (1/2)     /         (1/2)             \\||     |          
     (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)////     \          

        (1/2)
  (-6 a)     

          /         2    \      (1/2)     /         (1/2)             \   \   
        6 \mu lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/   |   
   + ---------------------------------------------------------------------|^2
           (1/2) /                (1/2)     /         (1/2)             \\|   
     (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)///   

  /    /                     
  | d  |                (1/2)
  |--- |mu lambda (-6 a)     
  | dx |                     
  \    \                     

          /         2    \      (1/2)     /         (1/2)             \   \\   
        6 \mu lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/   ||   
   + ---------------------------------------------------------------------|| +
           (1/2) /                (1/2)     /         (1/2)             \\||   
     (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)////   

  / 3 /                     
  |d  |                (1/2)
  |-- |mu lambda (-6 a)     
  |   |                     
  \   \                     

          /         2    \      (1/2)     /         (1/2)             \   \\
        6 \mu lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/   ||
   + ---------------------------------------------------------------------||
           (1/2) /                (1/2)     /         (1/2)             \\||
     (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)////
> value(%);
                          /                                     2\      
     /         2    \   2 |        /         (1/2)             \ |      
  12 \mu lambda  + 1/ mu  \1 - coth\A + (-mu)      (x - 2 mu t)/ /      
--------------------------------------------------------------------- -
      (1/2) /                (1/2)     /         (1/2)             \\   
(-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//   

                                                                         /   
                                    1                                    |   
  ---------------------------------------------------------------------- \12
                                                                       2     
        (1/2) /                (1/2)     /         (1/2)             \\      
  (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//      

                                                                           /
  /         2    \      (1/2)     /         (1/2)             \          2 |
  \mu lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/ lambda mu  \1

                                      2\\     /                     
         /         (1/2)             \ ||     |                (1/2)
   - coth\A + (-mu)      (x - 2 mu t)/ // + a |mu lambda (-6 a)     
                                              |                     
                                              \                     

          /         2    \      (1/2)     /         (1/2)             \   \   
        6 \mu lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/   |   
   + ---------------------------------------------------------------------|^2
           (1/2) /                (1/2)     /         (1/2)             \\|   
     (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)///   

  /                           /                                     2\       
  |       /         2    \    |        /         (1/2)             \ |       
  |     6 \mu lambda  + 1/ mu \1 - coth\A + (-mu)      (x - 2 mu t)/ /       
  |- --------------------------------------------------------------------- +
  |        (1/2) /                (1/2)     /         (1/2)             \\   
  |  (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//   
  \                                                                          

                                                                         /      
                                    1                                    |  /   
  ---------------------------------------------------------------------- \6 \mu
                                                                       2        
        (1/2) /                (1/2)     /         (1/2)             \\         
  (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//         

                                                                      /
        2    \      (1/2)     /         (1/2)             \           |
  lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/ lambda mu \1

                                         \
                                      2\\|
         /         (1/2)             \ |||
   - coth\A + (-mu)      (x - 2 mu t)/ //|
                                         |
                                         |
                                         /

                                                                       2     
                               /                                     2\      
          /         2    \   2 |        /         (1/2)             \ |      
       12 \mu lambda  + 1/ mu  \1 - coth\A + (-mu)      (x - 2 mu t)/ /      
   - --------------------------------------------------------------------- +
           (1/2) /                (1/2)     /         (1/2)             \\   
     (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//   

                                                                        /       
                                    1                                   |   /   
  --------------------------------------------------------------------- \24 \mu
        (1/2) /                (1/2)     /         (1/2)             \\         
  (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//         

                                                    2 /
        2    \   2     /         (1/2)             \  |
  lambda  + 1/ mu  coth\A + (-mu)      (x - 2 mu t)/  \1

                                      2\\   
         /         (1/2)             \ ||   
   - coth\A + (-mu)      (x - 2 mu t)/ // +

                                                                         /   
                                                                         |   
                                    1                                    |   
  ---------------------------------------------------------------------- \84
                                                                       2     
        (1/2) /                (1/2)     /         (1/2)             \\      
  (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//      

  /         2    \   2     /         (1/2)             \
  \mu lambda  + 1/ mu  coth\A + (-mu)      (x - 2 mu t)/

                                          2                  \
  /                                     2\                   |
  |        /         (1/2)             \ |       (1/2)       |
  \1 - coth\A + (-mu)      (x - 2 mu t)/ /  (-mu)      lambda/

                                                                     3           
                             /                                     2\            
        /         2    \   3 |        /         (1/2)             \ |        2   
     36 \mu lambda  + 1/ mu  \1 - coth\A + (-mu)      (x - 2 mu t)/ /  lambda    
   - ------------------------------------------------------------------------- +
                                                                           3     
            (1/2) /                (1/2)     /         (1/2)             \\      
      (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//      

                                                                         /   
                                                                         |   
                                    1                                    |   
  ---------------------------------------------------------------------- \36
                                                                       4     
        (1/2) /                (1/2)     /         (1/2)             \\      
  (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//      

  /         2    \      (1/2)     /         (1/2)             \       3   3
  \mu lambda  + 1/ (-mu)      coth\A + (-mu)      (x - 2 mu t)/ lambda  mu  

                                          3\   
  /                                     2\ |   
  |        /         (1/2)             \ | |   
  \1 - coth\A + (-mu)      (x - 2 mu t)/ / / +

                                                                         /   
                                                                         |   
                                    1                                    |   
  ---------------------------------------------------------------------- \72
                                                                       3     
        (1/2) /                (1/2)     /         (1/2)             \\      
  (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//      

                                                        2         
  /         2    \   3     /         (1/2)             \        2
  \mu lambda  + 1/ mu  coth\A + (-mu)      (x - 2 mu t)/  lambda  

                                          2\   
  /                                     2\ |   
  |        /         (1/2)             \ | |   
  \1 - coth\A + (-mu)      (x - 2 mu t)/ / / -

                                                                         /   
                                    1                                    |   
  ---------------------------------------------------------------------- \24
                                                                       2     
        (1/2) /                (1/2)     /         (1/2)             \\      
  (-6 a)      \1 + lambda (-mu)      coth\A + (-mu)      (x - 2 mu t)//      

                                                        3        /
  /         2    \   2     /         (1/2)             \         |
  \mu lambda  + 1/ mu  coth\A + (-mu)      (x - 2 mu t)/  lambda \1

                                      2\           \
         /         (1/2)             \ |      (1/2)|
   - coth\A + (-mu)      (x - 2 mu t)/ / (-mu)     /
> simplify(%);
Error, (in simplify/tools/_zn) too many levels of recursion
>
>
>
>
pls help

hi, I just want to calculate Adomian's polynomial but does not got  desire result,plz helpADMP.mw

LE_EQ.mwWhat is problem with this programme,why it does'nt calculate the values but only shows the solution with integral sign instead of calculating it, there is also arising a problem in plots


lambdaaaaaa.mwI have calculated lambda(s), now I to substitute  its derivative(1st,2nd) in b[2], b[3]and b[4] in order to calculate the values of constants i.e C1,C2 and C3, plz help

by_parts.mwhi, plz someone tell me what I have to do for such type of error

hi, I want calculate lambda(lagrange multiplier) for lane emden type equation, I have made a programme for it but here is error at the end of programme,plz help

lambda.3rd.mw

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