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Principal symbol characteristic results


  $\displaystyle $ $\displaystyle -2(\xi_1^2C_{15} + \xi_3^2C_{53} +
\xi_3(\xi_1(C_{13} + C_{55}) +...
...
\xi_2(\xi_2C_{64} + \xi_1(C_{14} + C_{65})))
(-4(\xi_1^2C_{15} + \xi_3^2C_{53}$  
  $\displaystyle $ $\displaystyle +
\xi_3(\xi_1(C_{13} + C_{55}) +
\xi_2(C_{54} + C_{63})) +
\xi_2(...
... + C_{65})))
(-(\rho\eta^2) + \xi_2^2C_{22} +
2\xi_2\xi_3C_{24} + \xi_3^2C_{44}$  
  $\displaystyle $ $\displaystyle +
2\xi_1\xi_2C_{62} + 2\xi_1\xi_3C_{64} +
\xi_1^2C_{66}) + 4(\xi_...
...C_{44}) +
\xi_1(C_{54} + C_{63})) +
\xi_2(\xi_2C_{24} + \xi_1(C_{52} + C_{64}))$  
  $\displaystyle $ $\displaystyle +
\xi_1^2C_{65})(\xi_1^2C_{16} + \xi_3^2C_{54} +
\xi_3(\xi_2(C_{5...
...4} + C_{65})) +
\xi_2(\xi_2C_{62} + \xi_1(C_{12} + C_{66})))) +
2(\xi_3^2C_{43}$  
  $\displaystyle $ $\displaystyle + \xi_3(\xi_2(C_{23} + C_{44}) +
\xi_1(C_{54} + C_{63})) +
\xi_2(...
...52} + C_{64})) +
\xi_1^2C_{65})
(4(\xi_3^2C_{43} + \xi_3(\xi_2(C_{23} + C_{44})$  
  $\displaystyle $ $\displaystyle +
\xi_1(C_{54} + C_{63})) +
\xi_2(\xi_2C_{24} + \xi_1(C_{52} + C_...
...\eta^2) + \xi_1^2C_{11} +
2\xi_1\xi_3C_{15} + 2\xi_1\xi_2C_{16} +
\xi_3^2C_{55}$  
  $\displaystyle $ $\displaystyle + 2\xi_2\xi_3C_{65} +
\xi_2^2C_{66}) - 4(\xi_1^2C_{15} +
\xi_3^2C...
..._{55}) +
\xi_2(C_{54} + C_{63})) +
\xi_2(\xi_2C_{64} + \xi_1(C_{14} + C_{65})))$  
  $\displaystyle $ $\displaystyle (\xi_1^2C_{16} + \xi_3^2C_{54} +
\xi_3(\xi_2(C_{52} + C_{64}) +
\...
...\xi_1(C_{12} + C_{66})))) -
2(-(\rho\eta^2) + \xi_3^2C_{33} + 2\xi_2\xi_3C_{43}$  
  $\displaystyle $ $\displaystyle +
\xi_2^2C_{44} + 2\xi_1\xi_3C_{53} +
2\xi_1\xi_2C_{54} + \xi_1^2...
...22} +
2\xi_2\xi_3C_{24} + \xi_3^2C_{44} +
2\xi_1\xi_2C_{62} + 2\xi_1\xi_3C_{64}$  
  $\displaystyle $ $\displaystyle +
\xi_1^2C_{66})(-(\rho\eta^2) + \xi_1^2C_{11} +
2\xi_1\xi_3C_{15...
...^2C_{55} + 2\xi_2\xi_3C_{65} +
\xi_2^2C_{66}) -
4(\xi_1^2C_{16} + \xi_3^2C_{54}$  
  $\displaystyle $ $\displaystyle +
\xi_3(\xi_2(C_{52} + C_{64}) +
\xi_1(C_{14} + C_{65})) +
\xi_2(\xi_2C_{62} + \xi_1(C_{12} + C_{66})))^2)$  


next up previous contents
Next: About this document ... Up: Ph.D. thesis proposal: Seismic Previous: Determinant of the thirty-by-thirty   Contents
David Dalton 2004-04-20