In that paper, Cayley used it for in the theory of resultants and discriminants. In fact most computer algebra systems include an efficient implementation of the computation of resultants. The general system of three equations may be solved by the method of resultants. This is typically the case when computing resultants and subresultants, or for using Sturm's theorem. Stress resultants are defined as integrals of stress over the thickness of a structural element. The valuations of any element of "F" can be computed in this way using resultants.