Adjective
inequivalent (comparative more inequivalent, superlative most inequivalent)
Not equivalent
Interestingly, various properties that single out the finite sets among all sets in the theory ZFC turn out logically inequivalent in weaker systems such as ZF or intuitionistic set theories. Source: Internet
For infinite-dimensional vector spaces, inequivalent topologies lead to inequivalent notions of tensor, and these various isomorphisms may or may not hold depending on what exactly is meant by a tensor (see topological tensor product ). Source: Internet
In the infinite-dimensional case, however, there will generally be inequivalent topologies, which makes the study of topological vector spaces richer than that of vector spaces without additional data. Source: Internet
It doubly covers the rotation group, since each rotation can be obtained in two inequivalent ways as the endpoint of a path. Source: Internet
So inequivalent representations can only arise via an automorphism of the skew-field. Source: Internet
The second factor sums over different values of f that are inequivalent gauge fixings. Source: Internet