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 market to satisfy the desire or need of a customer. In retailing, products are oft ...
, an item that serves as a solution to a specific consumer problem.
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Product (project management), 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 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 one ...
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Semidirect product
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Product of group subsets
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Wreath product
In group theory, the wreath product is a special combination of two groups based on the semidirect product. It is formed by the action of one group on many copies of another group, somewhat analogous to exponentiation. Wreath products are used i ...
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Free product
In mathematics, specifically group theory, the free product is an operation that takes two groups ''G'' and ''H'' and constructs a new The result contains both ''G'' and ''H'' as subgroups, is generated by the elements of these subgroups, and is ...
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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
In mathematics, a product of rings or direct product of rings is a ring that is formed by the Cartesian product of the underlying sets of several rings (possibly an infinity), equipped with componentwise operations. It is a direct product in th ...
* Ideal operations, for product of
ideals
Linear algebra
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Scalar multiplication
In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra). In common geometrical contexts, scalar multiplication of a real Euclidean vector b ...
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Matrix multiplication
In mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the s ...
* 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 th ...
or wedge product
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Multiplication of vectors:
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Dot product
In mathematics, the dot product or scalar productThe term ''scalar product'' means literally "product with a scalar as a result". It is also used sometimes for other symmetric bilinear forms, for example in a pseudo-Euclidean space. is an alge ...
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Cross product
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Seven-dimensional cross product
In mathematics, the seven-dimensional cross product is a bilinear operation on vectors in seven-dimensional Euclidean space. It assigns to any two vectors a, b in a vector also in .
Like the cross product in three dimensions, the seven-dim ...
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Triple product, in vector calculus
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Tensor product
In mathematics, the tensor product V \otimes W of two vector spaces and (over the same field) is a vector space to which is associated a bilinear map V\times W \to V\otimes W that maps a pair (v,w),\ v\in V, w\in W to an element of V \otime ...
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-s ...
Algebraic topology
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Cap product
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Cup product
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Slant product
Homotopy theory
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Smash product
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Wedge sum (or wedge product)
Category theory
* Internal product, in a
monoidal category
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Product (category theory), a generalization of mathematical products
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Fibre product or pullback
** Coproduct or
pushout
Probability theory
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Wick product In probability theory, the Wick product is a particular way of defining an adjusted product of a set of random variables. In the lowest order product the adjustment corresponds to subtracting off the mean value, to leave a result whose mean is zero. ...
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), 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)
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