provided Z 0 ≠ ≠ 0 ; specifically, z j = Z j / Z 0 . The ( z 1 , … … , z n ) form an affine coordinate system for CP in the coordinate patch U 0 = { Z 0 ≠ ≠ 0 } . One can develop an affine coordinate system in any of the coordinate patches U i = { Z i ≠ ≠ 0 } by dividing instead by Z i in the obvious manner. The n +1 coordinate patches U i cover CP, and it is possible to give the metric explicitly in terms of the affine coordinates ( z 1 , … … , z n ) on U i . The coordinate derivatives define a frame { ∂ ∂ 1 , … … , ∂ ∂ n } of the holomorphic tangent bundle of CP, in terms of which the Fubini–Study metric has Hermitian components