Examples of inequivalent

This example is from Wikipedia and may be reused under a CC BY-SA license.
So far, we have only seen examples in which the inequivalent discrete symmetries form either a cyclic group or a direct product of such groups.
Of course, there is no reason why this structure should be planar, since the two sides are inequivalent with major and minor groove characteristics.
We give examples of pairs of processes that are equivalent and of pairs that are inequivalent.
The following two examples illustrate that to show that two processes are contextually inequivalent, it suffices to find a context that distinguishes them.
If the b-sheets are of the in-register, parallel type, the two opposite directions of interstrand hydrogen bonding within each b-sheet are inequivalent.
We shall consider equivalence under continuous symmetries with real-valued parameters; the inequivalent discrete symmetries may have a real or complex action on the variables (x, u).
Are there essentially only a finite number of inequivalent such f which give rise to the same zeta function?
Hence, finding invariants or normal forms that distinguish between inequivalent singularities is a major goal.
Using the orthogonality relations derived above, we find that the q characters for the q inequivalent irreducible representations forms a basis set.
From
Wikipedia