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A general condition for the existence of fermion zero modes is derived for the M-5-brane, the M-2-brane and the D = 4, N = 2 Majumdar-Papapetrou 0-brane. The fermion zero modes of these p-branes do not exist if the supersymmetry spinor generator goes to a constant at the horizon and they exist only if it vanishes there. In particular it is shown that the… (More)
Efficient formulae of Ricci tensor for an arbitrary diagonal metric are presented.
This paper describes two novel facial expression recognition methods which are robust for head rotation within a certain angle range between -30 degrees and +30 degrees. We had proposed Eigenspace Method based on Class features of object (EMC) and Multiple Discriminant Analysis (MDA) for facial expression recognition. Our new methods, pEMC (parametric… (More)