|Definition:|| ordered set of n linearly independent vectors in an n-dimensional vector space, which is chosen to express any vector U as a unique linear combination of these n vectors|
, where are scalars
Note 1 to entry: In an Euclidean or Hermitian vector space, an orthonormal base is generally chosen. In the vector space formed by a set of n-bit words (see Note 1 to entry in IEV 102-03-01, vector space) a base is the set of n-bit words having only one non-zero bit.
Note 2 to entry: Any vector of a base is called "base vector".