FACTOID # 22: South Dakota has the highest employment ratio in America, but the lowest median earnings of full-time male employees.
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Encyclopedia > Basis

In mathematics, a basis or set of generators is a collection of objects that can be systematically combined to produce a larger collection of objects. Mathematics, often abbreviated maths in Commonwealth English and math in American English, is the study of abstraction. ...


In economics or accounting, a basis is the cost or value of an asset as adjusted for tax purposes. In mathematics, a subset B of a vector space V is said to be a basis of V if it satisfies one of the four equivalent conditions: B is both a set of linearly independent vectors and a generating set of V. B is a minimal generating set of V... In mathematics, a base (or basis) B for a topological space X with topology T is a collection of open sets in T such that every open set in T can be written as a union of elements of B. We say that the base generates the topology T. Bases... In combinatorics, a greedoid is a type of set system. ... Economics is the social science studying production and consumption through measurable variables. ... Accountancy (British English) or accounting (American English) is the process of maintaining, auditing, and processing financial information for business purposes. ...

  • In the video game "Halo", the only moon of Threshold, the planet around which the ringworld Halo orbits.

  Results from FactBites:
PlanetMath: basis (221 words)
A (Hamel) basis of a vector space is a linearly independent spanning set.
The empty set is a basis for the trivial vector space which consists of the unique element 0.
This is version 17 of basis, born on 2001-11-27, modified 2004-04-30.
Basis (linear algebra) - Wikipedia, the free encyclopedia (1033 words)
In linear algebra, a basis is a minimum set of vectors that, when combined, can address every vector in a given space.
The phrase Hamel basis is sometimes used to refer to a basis as defined above, in which the fact that all linear combinations are finite is crucial.
What is called an orthonormal basis is a set of mutually orthogonal unit vectors that "span" the space via sometimes-infinite linear combinations.
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