Sentence examples for isomorphism relation from inspiring English sources

In particular the isomorphism relation of type II1 factors is not smooth.

We also prove that the isomorphism relation for von Neumann II1 factors is analytic, but is not Borel.

Once circular sets are allowed, a strengthening of extensional equality by means of a suitable isomorphism relation (bisimulation, in current terminology) is needed which essentially corresponds to the isomorphism of the trees picturing the given sets.

At least six different nerve endings are found in the skin, but there is no isomorphism (1 1 relation) between the type of receptor, and the corresponding sensory experience when that receptor is stimulated electrically.

Bisimulation is a weaker notion than isomorphism (a bisimulation relation need not be 1-1), but it is sufficient to guarantee equivalence in processing.

In this paper, we apply matroids to rough sets through an isomorphism from equivalence relations to 2-circuit matroids.

Third, an isomorphism from equivalence relations to 2-circuit matroids is established, which lays a sound foundation for studying rough sets using matroidal approaches.

First, we construct an isomorphism from equivalence relations to 2-circuit matroids, and then propose graph representations of lower and upper approximations through the graphic matroid.

Since the ordinals are isomorphism types of relations, we can define the operation T on them as above.

They showed that there are eighteen isomorphism types of small relation algebras, all representable.

Isomorphism is an equivalence relation on the class of all structures of a fixed signature K.