equivalent

Similar or identical in value, meaning or effect; virtually equal.

• To burn calories, a thirty-minute jog is equivalent to a couple of hamburgers.

Of two sets, having a one-to-one correspondence.

• All enumerable sets are equivalent to each other, but not to any finite set.
• Equivalent sets should, by rights, have the same "number" of elements. For this reason we sometimes say that equivalent sets have the same cardinality.

Relating to the corresponding elements of an equivalence relation.

Of two categories, (informally) such that one is essentially a relabeling of the other; (formally) related by a pair of functors such the composition of the one with the other is naturally isomorphic to the identity functor.

Having the equal ability to combine.

Of a map, equal-area.

Equal in measure but not admitting of superposition; applied to magnitudes.

• A square may be equivalent to a triangle.

Anything that is virtually equal to something else, or has the same value, force, etc.

• He's the Italian equivalent of a district attorney.

An equivalent weight.

To make equivalent to; to equal.transitive