Commutative Algebra
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## Commutative Algebra

MacaulayBound

      MacaulayBound (c,d)

  For a Hilbert function that is c for degree d, given the Macaulay bound for the Hilbert function of degree d+1 (The c^<d> operator from Green's proof).

  Version 1.0.15 onwards.

MacaulayLowerOperator

      MacaulayLowerOperator (c,d)

  The c_<d> operator from Green's proof of Macaulay's Theorem.

  Version 1.0.15 onwards.

MacaulayRep

      MacaulayRep (c,d)

  Return the dth Macaulay representation of a positive integer c.

  Version 1.0.15 onwards.

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