When given a maximum set of inputs, the Gram-Schmidt process will output an orthogonal type of this mathematical structure.
A double exponential time algorithm for making these structures creates them from generators for a polynomial ideal and was developed by Buchberger. A theorem named for these objects states that every ideal in a polynomial ring defined over a Noetherian ring is finitely generated. In abstract algebra, one type of this structure is named for Wolfgang Gröbner. Transition matrices of a (*) vector space are used to transform between these objects. When given a maximum set of inputs, the Gram-Schmidt process will output an orthogonal type of this mathematical structure. An example of one of these functions for the space of cubic polynomials consists of 1,x, x squared, and x cubed. For 10 points, name these spanning sets whose elements are linearly independent.
A double exponential time algorithm for making these structures creates them from generators for a polynomial ideal and was developed by Buchberger.
basis [Accept Gröbner basis. prompt on spanning sets.]