# affine coordinate system in a sentence

- For defining a " polynomial function over the affine space ", one has to choose an
*affine coordinate system*. - Basis vectors that are the same at all points are "'global bases "', and can be associated only with linear or
*affine coordinate systems*. - If T is linear the coordinate system Z ^ i will be called an "'
*affine coordinate system* "', otherwise Z ^ i is called a "'curvilinear coordinate system "' - By the above definition, the choice of an
*affine coordinate system* of an affine space \ mathbb A _ k ^ n allows to identify the polynomial functions on \ mathbb A _ k ^ n with polynomials in variables, the " i " th variable representing the function that maps a point to its " i " th coordinate. - It's difficult to find
*affine coordinate system* in a sentence.