# Dual vs Coend - What's the difference?

dual | coend |

## As nouns the difference between dual and coend

is that dual is dual while coend is (mathematics) the dual of an end in category theory.

# dual

## English

### Alternative forms

*

(-)
• Exhibiting duality; characterized by having two (usually equivalent) components.
• Acting as a counterpart.
• Double.
• (grammar) Pertaining to grammatical number (as in singular and plural), referring to two of something, such as a pair of shoes, in the context of the singular', '''plural''' and in some languages, ' trial grammatical number. Modern Arabic displays a dual number, as did Homeric Greek.
• (linear algebra)
• (category theory)
• #### Derived terms

* duality * dualism

### Noun

(en noun)
• Of an item that is one of a pair, the other item in the pair.
• (geometry) Of a regular polyhedron with V'' vertices and ''F'' faces, the regular polyhedron having ''F'' vertices and ''V faces.
• The octahedron is the dual of the cube.
• (grammar) dual number The grammatical number of a noun marking two of something (as in singular, dual, plural), sometimes referring to two of anything (a couple of', ' exactly two of ), or a chirality-marked pair (as in left and right, as with gloves or shoes) or in some languages as a discourse marker, "between you and me". A few languages display trial number.
• (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.

* * unal * duel

* * * ----

# coend

## English

### Noun

(en noun)
• (mathematics) The dual of an end in category theory

*