Product may refer to:
Business
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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.
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Product (project management)
{{more citations needed, date=January 2021
In project management under the PRINCE2 methodology, a product breakdown structure (PBS) is a tool for analysing, documenting and communicating the outcomes of a project, and forms part of the product ba ...
, a deliverable or set of deliverables that contribute to a business solution
Mathematics
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Product (mathematics)
Algebra
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Direct product
Set theory
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Cartesian product
In mathematics, specifically set theory, the Cartesian product of two sets and , denoted , is the set of all ordered pairs where is an element of and is an element of . In terms of set-builder notation, that is
A\times B = \.
A table c ...
of sets
Group theory
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Direct product of groups
In mathematics, specifically in group theory, the direct product is an operation that takes two groups and and constructs a new group, usually denoted . This operation is the group-theoretic analogue of the Cartesian product of sets and is o ...
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Semidirect product
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Product of group subsets
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Wreath product
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Free product
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Zappa–Szép product (or knit product), a generalization of the direct and semidirect products
Ring theory
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Product of rings
* Ideal operations, for product of
ideals
Linear algebra
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Scalar multiplication
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Matrix multiplication
* Inner product, on an
inner product space
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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
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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 ...
:
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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 ...
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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 ...
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Seven-dimensional cross product
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Triple product
In geometry and algebra, the triple product is a product of three 3- dimensional vectors, usually Euclidean vectors. The name "triple product" is used for two different products, the scalar-valued scalar triple product and, less often, the ve ...
, in vector calculus
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Tensor product
In mathematics, the tensor product V \otimes W of two vector spaces V and W (over the same field) is a vector space to which is associated a bilinear map V\times W \rightarrow V\otimes W that maps a pair (v,w),\ v\in V, w\in W to an element of ...
Topology
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Product topology
In topology and related areas of mathematics, a product space is the Cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This topology differs from another, perhaps more natural-seemin ...
Algebraic topology
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Cap product
In algebraic topology the cap product is a method of adjoining a chain of degree p with a cochain of degree q, such that q\leq p, to form a composite chain of degree p-q. It was introduced by Eduard Čech in 1936, and independently by Hassl ...
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Cup product
In mathematics, specifically in algebraic topology, the cup product is a method of adjoining two cocycles of degree p and q to form a composite cocycle of degree p+q. This defines an associative (and distributive) graded commutative product opera ...
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Slant product
In algebraic topology the cap product is a method of adjoining a chain of degree p with a cochain of degree q, such that q\leq p, to form a composite chain of degree p-q. It was introduced by Eduard Čech in 1936, and independently by Hass ...
Homotopy theory
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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 ...
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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 ...
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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
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Fibre product or pullback
** Coproduct or
pushout
Probability theory
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Wick product of random variables
Graph theory
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Graph product
Music
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''Product'' (Brand X album), 1979
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''Product'' (De Press album), 1982
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''Product'' (Sophie album), 2015
* ''Product'', a three-CD compilation set by
Buzzcocks
Other uses
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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
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Hairstyling product, such as hairspray or hair gel, generally referred to as simply "product"
See also
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Production (disambiguation)
{{disambiguation