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About: Polynomial mapping     Goto   Sponge   NotDistinct   Permalink

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In algebra, a polynomial map or polynomial mapping between vector spaces over an infinite field k is a polynomial in linear functionals with coefficients in k; i.e., it can be written as where the are linear functionals and the are vectors in W. For example, if , then a polynomial mapping can be expressed as where the are (scalar-valued) polynomial functions on V. (The abstract definition has an advantage that the map is manifestly free of a choice of basis.)