fundamental product
21Indefinite inner product space — In mathematics, in the field of functional analysis, an indefinite inner product space :(K, langle cdot,,cdot angle, J) is an infinite dimensional complex vector space K equipped with both an indefinite inner product :langle cdot,,cdot angle and… …
22Gross domestic product — GDP redirects here. For other uses, see GDP (disambiguation). Not to be confused with Gross national product or Gross domestic income. CIA World Factbook 2005 figures of total nominal GDP (top) compared to PPP adjusted GDP (bottom) …
23Zero-product property — In the mathematical areas of algebra and analysis, the zero product property, also known as the zero product rule , is an abstract and explicit statement of the familiar property from elementary mathematics that if the product of two real numbers …
24Empty product — In mathematics, an empty product, or nullary product, is the result of multiplying no factors. It is equal to the multiplicative identity 1, given that it exists for the multiplication operation in question, just as the empty sum the result of… …
25Direct product of groups — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …
26Semidirect product — In mathematics, especially in the area of abstract algebra known as group theory, a semidirect product is a particular way in which a group can be put together from two subgroups, one of which is a normal subgroup. A semidirect product is a… …
27Cup 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… …
28Infinite product — In mathematics, for a sequence of numbers a 1, a 2, a 3, ... the infinite product :prod {n=1}^{infty} a n = a 1 ; a 2 ; a 3 cdotsis defined to be the limit of the partial products a 1 a 2... a n as n increases without bound. The product is said… …
29Proof of the Euler product formula for the Riemann zeta function — We will prove that the following formula holds::egin{align} zeta(s) = 1+frac{1}{2^s}+frac{1}{3^s}+frac{1}{4^s}+frac{1}{5^s}+ cdots = prod {p} frac{1}{1 p^{ s end{align}where zeta; denotes the Riemann zeta function and the product extends over… …
30Rule of product — In combinatorics, the rule of product or multiplication principle is a basic counting principle (a.k.a. the fundamental principle of counting). Stated simply, it is the idea that if we have a ways of doing something and b ways of doing another… …
