Basis
A (vector) basis is any Set of 
Linearly Independent Vectors capable ofgenerating an -dimensional Subspace of 
. Given a Hyperplane defined by
a basis is found by solving for
in terms of 
, 
, 
, and 
. Carrying out this procedure, 
so
and the above Vector form an (unnormalized) Basis. Given a Matrix A with anorthonormal basis, the Matrix corresponding to a new basis, expressed in terms of the original
is
See also Bilinear Basis, Modular System Basis, Orthonormal Basis, Topological Basis
- B-Tree
- Bubble
- Buchberger's Algorithm
- Buckminster Fuller Dome
- Buffon-Laplace Needle Problem
- Buffon's Needle Problem
- Bulirsch-Stoer Algorithm
- Bullet Nose
- Bumping Algorithm
- Bundle
- Burau Representation
- Burkhardt Quartic
- Burnside Problem
- Burnside's Conjecture
- Burnside's Lemma
- Busemann-Petty Problem
- Busy Beaver
- Small Multiple Method
- Small Number
- Small Retrosnub Icosicosidodecahedron
- Small Rhombicosidodecahedron
- Small Rhombicuboctahedron
- Small Rhombidodecacron
- Small Rhombidodecahedron
- Small Rhombihexacron