zc-formula
[Graphics:../Images/index_gr_1378.gif]
[Graphics:../Images/index_gr_1379.gif]
[Graphics:../Images/index_gr_1380.gif]
[Graphics:../Images/index_gr_1381.gif]
[Graphics:../Images/index_gr_1382.gif]
(-v0 + w + o*(-cr[0] + w^2*(-cr[2] + tp3[9, 9, 9]/6) - 
     (v0^2*tp3[9, 9, 9])/3 + (v0*w*tp3[9, 9, 9])/6) +
   o^2*(-(v0*cr[0]*tp3[9, 9, 9])/6 +
     w*(-cr[1] - (cr[0]*tp3[9, 9, 9])/3 +
       v0^2*(-(tp3[9, 9, al1]*tp3[9, 9, au1])/8 +
         tp4[9, 9, 9, 9]/24)) + v0^3*(tp3[9, 9, 9]^2/18 +
       (tp3[9, 9, al1]*tp3[9, 9, au1])/8 - tp4[9, 9, 9, 9]/8) +
     v0*w^2*(-(cr[2]*tp3[9, 9, 9])/6 - tp3[9, 9, 9]^2/24 +
       tp4[9, 9, 9, 9]/24) + w^3*(-cr[3] - (cr[2]*tp3[9, 9, 9])/3 -
       tp3[9, 9, 9]^2/72 + tp4[9, 9, 9, 9]/24) +
     ru0[al1]*(v0^2*((tp3[9, 9, 9]*tp3[9, 9, au1])/2 -
         2*td[al2, au1]*tp3[9, 9, au2] + tp3[9, 9, au2]*
          tp3[9, al2, au1] - tp4[9, 9, 9, au1]/3) +
       v0*w*(-(tp3[9, 9, 9]*tp3[9, 9, au1])/4 +
         td[al2, au1]*tp3[9, 9, au2] -
         (tp3[9, 9, au2]*tp3[9, al2, au1])/2 + tp4[9, 9, 9, au1]/
          6) + w^2*(-(tp3[9, 9, 9]*tp3[9, 9, au1])/4 +
         td[al2, au1]*tp3[9, 9, au2] -
         (tp3[9, 9, au2]*tp3[9, al2, au1])/2 + tp4[9, 9, 9, au1]/
          6))))/tau + tau*(o*(-td[al1, au1] - tp3[9, 9, 9]/6) +
   o^2*(v0*(td[al1, au2]*td[al2, au1] - (td[al1, au1]*tp3[9, 9, 9])/
        6 + (5*tp3[9, 9, 9]^2)/72 + (tp3[9, 9, al1]*tp3[9, 9, au1])/
        8 - tp4[9, 9, 9, 9]/24) + ru0[al1]*(-3*te[al2, au1, au2] -
       (td[al2, au2]*tp3[9, 9, au1])/2 +
       (tp3[9, 9, 9]*tp3[9, 9, au1])/4 - td[al2, au1]*
        tp3[9, 9, au2] + (tp3[9, 9, au2]*tp3[9, al2, au1])/2 +
       td[au2, au3]*tp3[al2, al3, au1] - tp4[9, 9, 9, au1]/6) +
     w*(td[al1, au2]*td[al2, au1] + (td[al1, au1]*tp3[9, 9, 9])/6 +
       (13*tp3[9, 9, 9]^2)/72 + (tp3[9, 9, al1]*tp3[9, 9, au1])/2 -
       td[au1, au2]*tp3[9, al1, al2] +
       (tp3[9, al1, au2]*tp3[9, al2, au1])/2 - tp4[9, 9, 9, 9]/8 -
       tp4[9, 9, al1, au1]/4)))

We confirm that zformula depends on [Graphics:../Images/index_gr_1383.gif]only linearly, and the term is only [Graphics:../Images/index_gr_1384.gif]

[Graphics:../Images/index_gr_1385.gif]
[Graphics:../Images/index_gr_1386.gif]


Converted by Mathematica      July 21, 2003