Relationship betwee covariances of Y and those of u and v

• Let u1 = u(x1,y1), u2 = u(x2,y2), v1 = v(x1,y1) and v2 = v(x2,y2)

• Property of the statistical mean:

• Differentiation operator commutes with the statistical mean (or expectancy) operator

• Thus:

Similarly:

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