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 ofte ...
, an item that serves as a solution to a specific consumer problem.
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Product (project management)
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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)
In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called ''factors''. For example, 30 is the product of 6 and 5 (the result of multiplication), and x\c ...
Algebra
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Direct product
In mathematics, one can often define a direct product of objects already known, giving a new one. This generalizes the Cartesian product of the underlying sets, together with a suitably defined structure on the product set. More abstractly, one t ...
Set theory
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Cartesian product
In mathematics, specifically set theory, the Cartesian product of two sets ''A'' and ''B'', denoted ''A''×''B'', is the set of all ordered pairs where ''a'' is in ''A'' and ''b'' is in ''B''. In terms of set-builder notation, that is
: A\tim ...
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
In mathematics, specifically in group theory, the concept of a semidirect product is a generalization of a direct product. There are two closely related concepts of semidirect product:
* an ''inner'' semidirect product is a particular way in ...
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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
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 ...
* Inner product, on an
inner product space
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Exterior product 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 vecto ...
:
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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 algeb ...
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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 is d ...
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Seven-dimensional cross product
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Triple product, in vector calculus
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Tensor product
Topology
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Product topology
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'' ≤ ''p'', to form a composite chain of degree ''p'' − ''q''. It was introduced by Eduard Čech in 1936, and ...
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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 commuta ...
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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'' ≤ ''p'', to form a composite chain of degree ''p'' − ''q''. It was introduced by Eduard Čech in 1936, and ...
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
In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of a diagram consisting of two morphisms and with a common codomain. The pullback is often ...
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
In graph theory, a graph product is a binary operation on graphs. Specifically, it is an operation that takes two graphs and and produces a graph with the following properties:
* The vertex set of is the Cartesian product , where and are ...
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
Buzzcocks are an English punk rock band formed in Bolton, England in 1976 by singer-songwriter-guitarist Pete Shelley and singer-songwriter Howard Devoto. They are regarded as a seminal influence on the Manchester music scene, the independen ...
Other uses
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Product (chemistry), the species formed from chemical reactions
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Hairstyling product
Hairstyle products are used to change the texture and/or shape of hair.
History
Hairstyling products have had a significant impact on the creation of various hairstyles and trends throughout history. For the ancient Egyptians, physical appearance ...
, such as hairspray or hair gel, generally referred to as simply "product"
See also
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Production (disambiguation)
Production may refer to:
Economics and business
* Production (economics)
* Production, the act of manufacturing goods
* Production, in the outline of industrial organization, the act of making products (goods and services)
* Production as a stati ...
{{disambiguation