Second, in order to get unique best solutions the type system must allow " bivariant " parameters ( which are simultaneously co-and contravariant ).
2.
When both steric and polar effects influence the reaction rate the Taft equation can be solved for both ? * and ? through the use of standard least squares methods for determining a bivariant regression plane.
3.
Therefore, the value of E does not change with the direction of the ( very small ) current, even though ?G of the corresponding reaction is bivariant ( can be of either positive or negative sign ).
4.
Therefore, according to the convention ( 1 ), the value of EMF is bivariant ( with two variants ), i . e ., reversing the electrode reaction, and reversing the corresponding cell diagram, will cause the change of sign of ?G and E, even though the polarity of the cell measured with a direct-current voltmeter does not necessarily reverse.
5.
"KK "-theory was followed by a series of similar bifunctor constructions such as the "'E-theory "'and the bivariant periodic cyclic theory, most of them having more category-theoretic flavors, or concerning another class of algebras rather than that of the separable " C " *-algebras, or incorporating group actions.
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