adjoint pair

noun
UK /ˈædʒɔɪnt peə/
US /ˈædʒɔɪnt pɛr/

Two things that work together as a matched set.

In math class, we learned that an adjoint pair of functions always comes together.


OTHER MEANINGS

2. In category theory, a pair of functors connected by a natural one-to-one correspondence between their morphism sets.

The free-forgetful adjoint pair appears throughout algebra.

3. In linear algebra, a pair consisting of a linear map and its adjoint with respect to an inner product.

The matrix and its conjugate transpose form an adjoint pair.

4. Two operators in functional analysis that satisfy a duality relation on a Hilbert space.

The shift and its adjoint make an adjoint pair on the sequence space.