Race is a categorisation that is based mainly on physical attributes or traits, assigning people to a specific race simply by having similar appearances or skin colour (for example, Black or white).
Gudd=Table[Sum[1/2metricinv[[i,l]](D[metric[[k,l]],xmu[[j]]]+D[metric[[j,l]],xmu[[k]]]-D[metric[[j,k]],xmu[[l]]]),{l,1,d}],{i,1,d},{j,1,d},{k,1,d}]; GGuddd=Table[Sum ...