- Usage:
`parts f`

- Inputs:
`f`, a ring element

- Outputs:
- an expression, with the terms of
`f`parenthesized degree by degree. The degrees are given in increasing order

- an expression, with the terms of

By default, `Macaulay2` displays a polynomial RingElement by putting its terms in decreasing order, with respect to the MonomialOrder of the ambient ring. On the other hand, `parts` will display the terms in order of increasing degree, regardless of the term order of the ring. Parentheses group together all terms of the same degree.

i1 : R = QQ[x,y]; |

i2 : f = (x + y + 1)^2 2 2 o2 = x + 2x*y + y + 2x + 2y + 1 o2 : R |

i3 : parts f 2 2 o3 = (1) + (2x + 2y) + (x + 2x*y + y ) o3 : Expression of class Sum |

i4 : R = QQ[x,y, MonomialOrder => Lex]; |

i5 : f = (x + y + 1)^2 2 2 o5 = x + 2x*y + 2x + y + 2y + 1 o5 : R |

i6 : parts f 2 2 o6 = (1) + (2x + 2y) + (x + 2x*y + y ) o6 : Expression of class Sum |

The output is an Expression of a special class, Parenthesize. Accessing the individual parenthesized parts of this expression is difficult, so for this purpose it may be better to use part.

i7 : part(2, f) 2 2 o7 = x + 2x*y + y o7 : R |

i8 : part(0, 1, f) o8 = 2x + 2y + 1 o8 : R |

- degree
- monomials -- matrix of monomials in a ring element or matrix
- part -- select terms of a polynomial by degree(s) or weight(s)
- select -- select from a list, hash table, or string
- terms -- provide a list of terms of a polynomial
- someTerms -- select some terms of a polynomial
- graded and multigraded polynomial rings
- manipulating polynomials

- parts(RingElement)