1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
|
--- status: rewritten September 2018
--- author(s): Lily Silverstein
doc///
Key
parts
(parts, RingElement)
Headline
display terms of a polynomial degree by degree
Usage
parts f
Inputs
f:RingElement
Outputs
:Expression
with the terms of {\tt f} parenthesized degree by degree. The degrees are given in increasing order
Description
Text
By default, {\tt Macaulay2} displays a polynomial @TO RingElement@ by
putting its terms in decreasing order,
with respect to the @TO MonomialOrder@ of the ambient ring.
On the other hand, {\tt 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.
Example
R = QQ[x,y];
f = (x + y + 1)^2
parts f
R = QQ[x,y, MonomialOrder => Lex];
f = (x + y + 1)^2
parts f
Text
The output is an @TO Expression@ of a special class, @TO Parenthesize@.
Accessing the individual parenthesized parts of this expression is
difficult, so for this purpose it may be better to use @TO part@.
Example
part(2, f)
part(0, 1, f)
SeeAlso
degree
monomials
part
select
terms
someTerms
"graded and multigraded polynomial rings"
"manipulating polynomials"
///
|
