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ordergreat

ordergreat(y,z,x);

pol:2*y*z^2+x*z^3+2...

Calculate

ordergreat

p:2*y*z^2+x*z^3+2*x*z^4;

ordergreat(y,z,x);

p:2*y*z^2+x*z^3+2*x*z^4;

Calculate

ordergreat

pol:6*x*y^5+12*y^4+14...

ordergreat(x,y);

6*x*y^5+12*y^4+14*y^3...

Calculate

ordergreat

ordergreat(y,z,x);

pol:2*y*z^2+x*z^3+2...

Calculate

ordergreat

p:2*y*z^2+x*z^3+2*x*z^4;

ordergreat(x,y,z);

p:2*y*z^2+x*z^3+2*x*z^4;

Calculate

ordergreat

ordergreat(y,z,x);

pol:2*y*z^2+x*z^3+2...

Calculate

ordergreat

pol:2*y*z^2+x*z^3+2*x...

ordergreat(y,z,x);

Calculate

ordergreat

p:2*y*z^2+x*z^3+2*x*z^4;

ordergreat(z,x);

p:2*y*z^2+x*z^3+2*x*z^4;

Calculate

ordergreat-unorder

unorder();

b*x + a^2;

ordergreat (a);

Calculate

ordergreat

p:2*y*z^2+x*z^3+2*x*z^4;

ordergreat(x,z,y);

p:2*y*z^2+x*z^3+2*x*z^4;

Calculate

ordergreat

Run Example
(%i1)p:2*y*z^2+x*z^3+2*x*z^4;
                                 4      3        2
(%o1)                       2 x z  + x z  + 2 y z
(%i2) collectterms(p,x);
                                  4    3         2
(%o2)                       x (2 z  + z ) + 2 y z
(%i3) ordergreat(x,y,z);
(%o3)                                done
(%i4) p:2*y*z^2+x*z^3+2*x*z^4;
                               4      3        2
(%o4)                       2 z  x + z  x + 2 z  y
(%i5) unorder();
(%o5)                              [z, y, x]
(%i6) ordergreat(z,y,x);
(%o6)                                done
(%i7) p;
                         4              3                2
(%o7)             2 _101z  _103x + _101z  _103x + 2 _101z  y
(%i8) unorder();
(%o8)                              [x, y, z]
(%i9) ordergreat(z,x,y);
(%o9)                                done
(%i10) p;
                       4              3                2
(%o10)          2 _101z  _103x + _101z  _103x + 2 _101z  _102y
(%i11) unorder();
(%o11)                             [y, x, z]
(%i12) 
Run Example
pol:2*y*z^2+x*z^3+2*x*z^4;
                                 4      3        2
(%o1)                       2 x z  + x z  + 2 y z
(%i2) ordergreat(y,z,x);
(%o2)                                done
(%i3) 
Run Example
ordergreat(x,y,z);
(%o1)                                done
(%i2) depends(Phi,[x,y,z]);
(%o2)                           [Phi(x, y, z)]
(%i3) R(x,y,z):=sqrt(x^2+y^2+z^2);
                                           2    2    2
(%o3)                  R(x, y, z) := sqrt(x  + y  + z )
(%i4) Grad(f):=[diff(f,x),diff(f,y),diff(f,z)];
(%o4)           Grad(f) := [diff(f, x), diff(f, y), diff(f, z)]
(%i5) Div(v):=diff(v[1],x)+diff(v[2],y)+diff(v[3],z);
(%o5)          Div(v) := diff(v , x) + diff(v , y) + diff(v , z)
                               1             2             3
(%i6) Rot(v):=[diff(v[3],y)-diff(v[2],z),diff(v[1],z)-diff(v[3],x),diff(v[2],x)-diff(v[1],y)];
(%o6) Rot(v) := [diff(v , y) - diff(v , z), diff(v , z) - diff(v , x), 
                       3             2            1             3
                                                     diff(v , x) - diff(v , y)]
                                                           2             1
(%i7) Phi:1/R(x,y,z);
                                      1
(%o7)                         ------------------
                                    2    2    2
                              sqrt(x  + y  + z )
(%i8) Grad(Phi);
                   x                    y                    z
(%o8)   [- -----------------, - -----------------, - -----------------]
             2    2    2 3/2      2    2    2 3/2      2    2    2 3/2
           (x  + y  + z )       (x  + y  + z )       (x  + y  + z )
(%i9) Div(Grad(Phi));
                                     2                   2
                3                 3 x                 3 y
(%o9) - ----------------- + ----------------- + -----------------
          2    2    2 3/2     2    2    2 5/2     2    2    2 5/2
        (x  + y  + z )      (x  + y  + z )      (x  + y  + z )
                                                                       2
                                                                    3 z
                                                            + -----------------
                                                                2    2    2 5/2
                                                              (x  + y  + z )
(%i10) Rot(Grad(Phi));
(%o10)                             [0, 0, 0]
(%i11) Phi:1/R(x,y,z-l)-1/R(x,y,z+l);
                         1                          1
(%o11)        ------------------------ - ------------------------
                    2    2          2          2    2          2
              sqrt(x  + y  + (z - l) )   sqrt(x  + y  + (z + l) )
(%i12) Grad(Phi);
                   x                         x
(%o12) [----------------------- - -----------------------, 
          2    2          2 3/2     2    2          2 3/2
        (x  + y  + (z + l) )      (x  + y  + (z - l) )
           y                         y
----------------------- - -----------------------, 
  2    2          2 3/2     2    2          2 3/2
(x  + y  + (z + l) )      (x  + y  + (z - l) )
         z + l                     z - l
----------------------- - -----------------------]
  2    2          2 3/2     2    2          2 3/2
(x  + y  + (z + l) )      (x  + y  + (z - l) )
(%i13) 'diff(v,t)+v.'Grad(v)=eta*Div(Grad(v))-p/rho;
                                         dv      p
(%o13)                     v . Grad(v) + -- = - ---
                                         dt     rho
(%i14) 

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