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Product may refer to:


Business

*
Product (business) In marketing, a product is an object, or system, or service made available for consumer use as of the consumer demand; it is anything that can be offered to a domestic or an international market to satisfy the desire or need of a customer. In re ...
, an item that can be offered to a market to satisfy the desire or need of a customer. * Product (project management), a deliverable or set of deliverables that contribute to a business solution


Mathematics

* Product (mathematics)


Algebra

* Direct product


Set theory

* Cartesian product of sets


Group theory

* Direct product of groups * Semidirect product * Product of group subsets * Wreath product * Free product * Zappa–Szép product (or knit product), a generalization of the direct and semidirect products


Ring theory

* Product of rings * Ideal operations, for product of ideals


Linear algebra

* Scalar multiplication * Matrix multiplication * Inner product, on an inner product space *
Exterior product In mathematics, specifically in topology, the interior of a subset of a topological space is the union of all subsets of that are open in . A point that is in the interior of is an interior point of . The interior of is the complement of ...
or wedge product *
Multiplication of vectors In mathematics, vector multiplication may refer to one of several operations between two (or more) vectors. It may concern any of the following articles: * Dot product – also known as the "scalar product", a binary operation that takes two vector ...
: **
Dot product In mathematics, the dot product or scalar productThe term ''scalar product'' means literally "product with a Scalar (mathematics), scalar as a result". It is also used for other symmetric bilinear forms, for example in a pseudo-Euclidean space. N ...
**
Cross product In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional oriented Euclidean vector space (named here E), and ...
** Seven-dimensional cross product ** Triple product, in vector calculus * Tensor product


Topology

* Product topology


Algebraic topology

* Cap product * Cup product * Slant product


Homotopy theory

*
Smash product In topology, a branch of mathematics, the smash product of two pointed spaces (i.e. topological spaces with distinguished basepoints) and is the quotient of the product space under the identifications for all in and in . The smash prod ...
*
Wedge sum In topology, the wedge sum is a "one-point union" of a family of topological spaces. Specifically, if ''X'' and ''Y'' are pointed spaces (i.e. topological spaces with distinguished basepoints x_0 and y_0) the wedge sum of ''X'' and ''Y'' is the ...
(or wedge product)


Category theory

* Internal product, in a
monoidal category In mathematics, a monoidal category (or tensor category) is a category (mathematics), category \mathbf C equipped with a bifunctor :\otimes : \mathbf \times \mathbf \to \mathbf that is associative up to a natural isomorphism, and an Object (cate ...
*
Product (category theory) In category theory, the product of two (or more) object (category theory), objects in a category (mathematics), category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the Cartesian product ...
, a generalization of mathematical products * Fibre product or pullback ** Coproduct or pushout


Probability theory

* Wick product of random variables


Graph theory

* Graph product


Music

* ''Product'' (Brand X album), 1979 * ''Product'' (De Press album), 1982 * ''Product'' (Sophie album), 2015 * ''Product'', a three-CD compilation set by Buzzcocks


Other uses

*
Product (chemistry) Products are the species formed from chemical reactions. During a chemical reaction, reactants are transformed into products after passing through a high energy transition state. This process results in the consumption of the reactants. It can ...
, the species formed from chemical reactions * Hairstyling product, such as hairspray or hair gel, generally referred to as simply "product"


See also

* Production (disambiguation) {{disambiguation