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
|
--- status: TODO
--- author(s):
--- notes:
document {
Key => indices,
Headline => "indices of a polynomial; also components for a direct sum",
TT "indices", " has two uses in Macaulay2: indices of a direct sum, or indices of a
polynomial. Additionally, the symbol is used as a key in a direct sum
under which to store a list of the preferred keys used
to index the components of the direct sum.",
SeeAlso => {"directSum", "components", "indexComponents",index,support}
}
document {
Key => {(indices,RingElement),(indices,Matrix)},
Headline => "indices of variables occurring in a polynomial",
Usage => "indices f",
Inputs => {
"f" => {"or ",ofClass Matrix, "over a polynomial ring"}
},
Outputs => {
List => "of integers, the indices of the variables
occurring in the polynomial or matrix"
},
"The first variable in a polynomial ring has index 0, the second has index 1, etc.
This function returns a list (in ascending order) of the indices of all
of the variables that occur in ", TT "f", ".",
EXAMPLE lines ///
R = QQ[a..g]
F = a^3+b^2*c+3*f^10*d-1+e-e
indices F
index a
support F
///,
"The same works for matrices.",
EXAMPLE lines ///
M = matrix"a+b,c+e;2a-e,3b-c4"
indices M
support M
///,
"This use of ", TO indices, " has no relationship with the use for
specifying parts of a direct sum",
SeeAlso => {index, support, indices, (symbol_,Ring,ZZ)}
}
|
