Product (mathematics)

Ask a question about 'Product (mathematics)' Start a new discussion about 'Product (mathematics)' Answer questions from other users Full Discussion Forum

• Products of the various classes of number
  Number
  
  A number is a mathematical object used in counting and measurement. A notational symbol which represents a number is called a Numeral system, but in common usage the word number is used for both the abstract object and the symbol, as well as for the numeral for the number....
  s

• • Wedge product or exterior product
    Exterior algebra
    
    In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions....
    
  • Interior product
  • Tensor product
    Tensor product
    
    In mathematics, the tensor product, denoted by , may be applied in different contexts to vector spaces, matrix , tensors, vector spaces, algebra over a field, topological vector spaces, and module s....
    
• The product of matrices
  Matrix (mathematics)
  
  In mathematics, a matrix is a rectangular array of numbers, as shown at the right. In addition to a number of elementary, entrywise operations such as matrix addition a key notion is matrix multiplication....
   and vectors; see matrix multiplication
  Matrix multiplication
  
  In mathematics, matrix multiplication is the operation of multiplying a matrix with either a scalar or another matrix. This article gives an overview of the various ways to perform matrix multiplication....
  , dot product
  Dot product
  
  In mathematics, the dot product, also known as the scalar product, is an operation which takes two vector over the real numbers R and returns a real-valued scalar quantity....
  , Kronecker product
  Kronecker product
  
  In mathematics, the Kronecker product, denoted by , is an operation on two matrix of arbitrary size resulting in a block matrix. It is a special case of a tensor product....
  .
• The pointwise product
  Pointwise product
  
  The pointwise product of two function s is another function, obtained by multiplying the image of the two functions at each value in the domain....
   of two functions
  Function (mathematics)
  
  The mathematical concept of a function expresses dependence between two quantities, one of which is known and the other which is produced. A function associates a single output to each input element drawn from a fixed Set , such as the real numbers , although different inputs may have the same output....
  .
• Products in rings
  Ring (mathematics)
  
  In mathematics, a ring is a type of algebraic structure. There is some variation among mathematicians as to exactly what properties a ring is required to have, as described in detail below....
   and field
  Field (mathematics)
  
  In abstract algebra, a field is an algebraic structure with notions of addition, subtraction, multiplication and division , satisfying certain axioms....
  s of many kinds.
• It is often possible to form the product of two (or more) mathematical objects to form another object of the same kind, e.g.
• the Cartesian product
  Cartesian product
  
  In mathematics, the Cartesian product is a direct product of sets. The Cartesian product is named after Ren? Descartes, whose formulation of analytic geometry gave rise to this concept....
   of sets,
• the product of groups
  Product of groups
  
  In mathematics, a product of group s usually refers to a direct product of groups, but may also mean:*semidirect product*product of subgroups...
  ,
• the product of rings
  Product of rings
  
  In mathematics, it is possible to combine several ring into one large product ring. This is done as follows: if I is some index set and Ri is a ring for every i in I, then the cartesian product Πi in I Ri can be turned into a ring by defining the operations coordinatewise, i...
  ,
• the product of topological spaces
  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....
  ,
• the Wick product
  Wick product
  
  In probability theory, the Wick productnamed after physicist Gian-Carlo Wick, is a sort of product of the random variables, X1, ..., Xk, defined recursively as follows:...
   of random variable
  Random variable
  
  In mathematics, random variables are used in the study of Randomness and probability. They were developed to assist in the analysis of Game of chance, stochastic events, and the results of experiment by capturing only the mathematical properties necessary to answer probability questions....
  s.
• For the general treatment, see product (category theory)
  Product (category theory)
  
  In category theory, the product of two objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product, the direct product of groups, the direct product of rings and the product topology....
  .

See also

• Pi (letter)
  Pi (letter)
  
  Pi is the sixteenth letter of the Greek alphabet. In the system of Greek numerals it has a value of 80. Letters that arose from pi include Cyrillic Pe ....