5.32 ( ) Show that the derivatives of the mixing coefficients {k}, defined by (5.146), with respect...

5.32 ( ) Show that the derivatives of the mixing coefficients {πk}, defined by (5.146), with respect to the auxiliary parameters {ηj} are given by

∂πk

∂ηj

= δjkπj − πjπk. (5.208)

Hence, by making use of the constraint



k πk = 1, derive the result (5.147).