isomorphic's Usage Examples:

functions is to use elliptic curves: every lattice Λ determines an elliptic curve C/Λ over C; two lattices determine isomorphic elliptic curves if and only.

The use of hierarchical representations was suggested to address the problem of cross reference; and so-called isomorphic representations were suggested to address the problems of verification and frequent amendment.

For the hypergeometric equation n3, so the group is of order 24 and is isomorphic to the symmetric group on 4 points, and was first described byKummer.

any two many-complete recursively enumerable sets are recursively isomorphic.

the entropy is not sufficient to classify such systems – there exist uncountably many non-isomorphic K-systems with the same entropy.

The homothety ρ(g) is central in Im(ρ) (which is canonically isomorphic to G/N), whereas g is not central in G.

When \mathfrak{g} is finitely generated as vector space, the Chevalley–Eilenberg complex is canonically isomorphic to the tensor product M \otimes \Lambda^{\bullet}\mathfrak{g}^*, where \mathfrak{g}^*denotes the dual vector space of \mathfrak{g}.

objects with the same invariants that are not isomorphic, including arithmetically equivalent number fields and isospectral graphs and isospectral Riemannian.

Bravais lattices are often considered equivalent if they have isomorphic symmetry groups.

This subfield is isomorphic to either the rational number field.

Thus the naive homotopy category distinguishes spaces such as X and Y, whereas they become isomorphic in the homotopy category.

(or first isomorphism theorem) states that image of a homomorphism is isomorphic to the quotient by the kernel.

Synonyms:

isomorphous,