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Relations, Functions and Reversal of Variables : Real World Applications

In the real world, what might be a situation where it is preferable for the data for form a relation but not a function?

All I found was Edgar Cobb who invented the relational module while working at IBM in the late 1960's. Am I on the right track? Help?

When might a reversal of variables be useful in the real world?

I'm not sure but I think converting Fairenheit to Celcius is useful for this.

Solution Preview

First, you need to know what is the difference between a relation and a function.

A relation from a set A to a set B is a subset of AxB( Cartersion product). A function from a set A to a set B is a relation from A to B such that

(1) for every a in A, ...

Solution Summary

Real world applications for relations, functions and reversal of variables are discussed.