# What are basis?

• (noun): The fundamental assumptions from which something is begun or developed or calculated or explained.
Example: "The whole argument rested on a basis of conjecture"
Synonyms: base, foundation, fundament, groundwork, cornerstone

## Basis

Basis may refer to

### Some articles on basis:

Change Of Basis - Change of Coordinates of A Vector - Three Dimensions
... For example, be a new basis given by its Euler angles ... The matrix of the basis will have as columns the components of each vector ... will be (See Euler angles article) Again, any vector of the space can be changed to this new basis by left-multiplying its components by the inverse of this matrix ...
Basis
... Basis may refer to BASIS International, a software company in Renaissance music, the bassline was sometimes called the basis BASIS Schools, a group of high-expectations schools in Arizona, USA In ...
Change Of Basis - The Matrix of A Linear Transformation - Change of Basis
2 be the coordinate isomorphisms taking the usual basis in Rn to the first and second bases for V, and let ψ1 and ψ2 be the isomorphisms taking the usual basis in Rm to the first and second bases ... Given that the change of basis has once the basis matrix and once its inverse, this objects are said to be 1-co, 1-contra-variants ...
Canonical Basis
... In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context In a coordinate space ... fields, it means the polynomial basis ... In representation theory, Lusztig's canonical basis and closely related Kashiwara's crystal basis in quantum groups and their representations ...
Rational Basis Review - Applicability
... In modern constitutional law, the rational basis test is applied to constitutional challenges of both federal law and state law (via the Fourteenth Amendment) ... A law, when challenged, must have a rational basis without which it might violate right of a person under the U.S ... To understand the concept of rational basis review, it is easier to understand what it is not ...

### More definitions of "basis":

• (noun): A relation that provides the foundation for something.
Example: "He worked on an interim basis"
Synonyms: footing, ground
• (noun): The most important or necessary part of something.
Example: "The basis of this drink is orange juice"
Synonyms: base

### Famous quotes containing the word basis:

The basis of world peace is the teaching which runs through almost all the great religions of the world. “Love thy neighbor as thyself.” Christ, some of the other great Jewish teachers, Buddha, all preached it. Their followers forgot it. What is the trouble between capital and labor, what is the trouble in many of our communities, but rather a universal forgetting that this teaching is one of our first obligations.
Eleanor Roosevelt (1884–1962)

All costumes are caricatures. The basis of Art is not the Fancy Ball.
Oscar Wilde (1854–1900)

The basis on which good repute in any highly organized industrial community ultimately rests is pecuniary strength; and the means of showing pecuniary strength, and so of gaining or retaining a good name, are leisure and a conspicuous consumption of goods.
Thorstein Veblen (1857–1929)