MaplePrimes Questions

 

> 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

I'm not sure why im getting a complex solution for evalf(h(-1/2)). Posted screenshot here:

http://prntscr.com/8abmta

The answer should be positive 6*2^(2/3) ≈ 9.52

 The computer returns

h(-1/2) =

=

The problem is that evalf((-1)^(1/3)) you get 0.500 + .866I

Is there no way to evaluate a second derivative of a real valued function which has a fractional exponent without receiving complex results? I don't have the time to look at each function and try to figure out what went wrong. I want to plug in any x value into a function defined for all reals and get a real result.

I tried  assume(x , 'real' ) , that did not do anything.

 

    

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

hi .how i can solve nonlinear equation with unknown prameter omega as below

thanksfrekans.mw

Hi All,

 

I have o problem with simplify. A variable cp1r has been assumed to be positive. Why simplify still has csgn(cp1r) for it? Here is my code:

tmp := subs(cp1t(t)=cp1r, cp2t(t)=cp2r, Ca[2]);
1 / 2 2
----------- |-cp2r sin(x[1]) sin(x[7]) cp1r
2 2 |
cp1r cp2r |
\

2
+ 2 cp2r sin(x[1]) cos(x[1]) cos(x[7]) sin(x[7]) cp1r +

1 / 2 2 /
-------------- \cp2r cos(x[1]) cos(x[7]) sin(x[7]) \
(1/2)
/ 2\
2 \cp1r /
2 \\\
-2 cos(x[1]) cos(x[7]) sin(x[1]) + 2 sin(x[1]) cos(x[1])//|
|
|
/
assume(cp1r > 0, cp2r > 0);
simplify(tmp);
1 / / 3 3
---------- \sin(x[1]) sin(x[7]) \-cos(x[1]) cos(x[7])
2
cp1r cp1r

+ 2 cos(x[1]) cos(x[7]) cp1r csgn(cp1r) cp1r

2 3 \ \

- cp1r csgn(cp1r) cp1r + cos(x[1]) cos(x[7])/ csgn(cp1r)/

 

should csgn(cp1r) be simplified to 1 already? What is wrong with my script?

 

Thanks 

Everett

Maple does not cope with the following simple example:

with(geom3d):

point(A,0,0,0), point(B,1,0,0), point(C,2,0,0), point(E,2,1,0):

AreCoplanar(A,B,C,E);

           Error, (in geom3d:-plane) the points may not be AreCollinear

 

Should we interpret this behavior as a bug? I think I met with this yet 10-12 years ago, but unfortunately since then nothing has changed.

I have the following PDE:

 

u_xx = u_tt + (2^{1/2}u_x-u)^{1/2}

 

Do you have a proposed algorithm to solve in maple for this PDE? I mean pdsolve won't solve it because it's a nonlinear PDE.

 

Hi All,

 

I am working on modeling dynamics for a robot. It requires a write some long expressions into C++.  When I do it, it has some strange problem in creation of C++ code from a vector.

Here is an example of the problem. I have a multivariable polynomial term, I using coeffs to get its coefficients and corresponding unevaluated variables, which works fine. But I can't convert the vector into C++

Ca := coeffs(term, [W, Rf, Rr, dxf, rcf, rcr], 'L'):

L;                           Rf, Rr, dxf

C(L, resultname="L11", output="dSpDdx1.cpp");

Error, (in Translate) options [Rr, dxf] not recognized.

I don't know why maple thought the unevaluated variable Rr and dxf are options instead of the vector I want to convert into c++. Does any one know what I did wrong?

 

Thanks in advance.

 

Everett

Just purchased Maple 2015 and playing with it for the first time.  I'm running the 64-bit version on Win 8.1.

Anytime the program generates a pop-up dialog box, the pop-up seems to get stuck behind the main program window.  I can't alt+tab to get to the pop-up window and I can't click on anything in the main program window because it's frozen while waiting for me to aknowledge the pop-up dialog box.  So I have to kill everything from the task manager and lose anything that's unsaved.

I'm talking about pop-ups for things like "Error, (in @@) invalid arguments"... I click on the link and see a brief flash while that pop-up quickly flies behind the main window.  Same thing happens when I click on a link that asks what web browser I want to use.

 

I can't be the only one that has this problem, so is there a fix or workaround for this somewhere?  It's not really useable like this.  Thanks!

k^4-k^2*(4*u*m+2*q^2)+k*(8*m*E*q)+4*m^2*(D^2-e^2+(q^2/2*m-u)^2)=0

This is my first attempt at trying the units feature within Maple. I have had mixed results. I have a function defined that gives me values in [cal/mol/K], which is correct. But when I try to use this as the integrand in an integral definition it does not want to solve. I cannot determine what the problem is.

I thought that I possibly needed to define units in the integral expression, but this just produces more errors or locks-up Maple completely. (Side note: When Maple locks-up, the "interupt current operation" toolbar often does not correctly kill the operation, and I am forced to restart Maple :/)

As I have the problem defined, I should get the following result:

T__sys= 64.47487 [K], should get me HIG(T__sys) = -19682.7 [cal/mol].

See attached: EnthalpyTrace_-_Integrating_with_Units_Error.mw

Any help or insights would be greatly appreciated.

 

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


dsolve thousands of system with for loop

but one of system run a very long time, seems never end, just stuck here

how to set timeout when impossible to dsolve

ics:=a(1)=0,b(1)=0,c(1)=0:
ode:=rhs(a4[ii])[1]=1,rhs(a4[ii])[2]=1,rhs(a4[ii])[3]=1:
ode:=a(t)*c(t)*(diff(c(t), t))+2*a(t)*(diff(a(t), t))*b(t) = 1, a(t)*(diff(a(t), t))*b(t)*(diff(b(t), t))*c(t)*(diff(c(t), t))+a(t)*(diff(a(t), t))*b(t)*(diff(b(t), t))+a(t)*(diff(a(t), t)) = 1, a(t)*(diff(a(t), t))*c(t)+2*a(t)*b(t)*(diff(b(t), t)) = 1;
dsol := dsolve({ode,ics}):

 

 

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