In mathematics and its applications, a coordinatesystem is a system for assigning an n-tuple of numbers or scalar to each Point in an n-dimensional space....
In physics, a covariant transformation is a rule , that describes how certain physical entities change under a change of coordinate system.In particular the term is used for Vector s and tensors....
In mathematics, particularly topology, an atlas describes how a manifold is equipped with a differential structure. Each piece is given by a chart ....
In linear algebra, a basis for a vector space of dimension n is a sequence of n vectors α1, ..., αn with the property that every vector in the space can be expressed uniquely as a linear combination of the basis vectors....
