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The large number of equation that were presented in the last section
could be reduced to a much smaller number by algebric substitution. We
substitute the expression for
of equation
12 into equation 14 to 17. The
resulting equations are
![$\displaystyle \sum_{i=1}^{l}{a_{ij}\pi_i} + \left[ \frac{(H_T^0)_j}{RT}\right]\Delta \ln{T} = \frac{\mu_j}{RT} \quad (j=m+1,...,n)$](img37.png) |
(18) |
![$\displaystyle \sum_{i=1}^{l}\sum_{j=1}^{m}{a_{ij}n_j\pi_i}+\left( \sum_{j=1}^{m...
...ght]\Delta \ln{T} = n - \sum_{j=1}^{m}{n_j}+\sum_{j=1}^{m}{\frac{n_j\mu_j}{RT}}$](img38.png) |
(19) |
Those equation can be simulataneously solve to get a new
estimate. Using those new symbols, a resume of those equations in the
form of a matrix is presented in the second document.
Next: Cpropep functions description
Up: cpropep
Previous: Gibbs iteration equations
Antoine Lefebvre
2000-03-26