A number of interesting results can be derived using the above relations.

The above relation between and describes a conic section.

The remaining terms are defined with the above relation.

Consequently, there is no reason to expect the above classical relation to hold.

In this case, the above relation is the following:

Summation over repeated indices has been assumed in the above relation.

From the above relations we can see that if then .

The above relation can be used as a definition of a perfect gas.

The above relation requires that the temperature of the absorbing species is known.

The vectors can always be chosen, but are not uniquely determined by the above relations.