1 | initial version |
Consider the following code:
sage: m, n = 3, 2
sage: g = matrix(m+1, n+1, [var("g_{}{}".format(i,j),
....: latex_name="g_{{{}{}}}".format(i,j))
....: for i in [0..m] for j in [0..n]])
sage: g
[g_00 g_01 g_02]
[g_10 g_11 g_12]
[g_20 g_21 g_22]
[g_30 g_31 g_32]
It creates a matrix g
of symbolic variables g_00
, g_01
, etc. You can access each variable either by g_ij
or g[i,j]
.
2 | No.2 Revision |
Consider the following code:
sage: m, n = 3, 2
sage: g = matrix(m+1, n+1, [var("g_{}{}".format(i,j),
....: latex_name="g_{{{}{}}}".format(i,j))
....: for i in [0..m] for j in [0..n]])
sage: g
[g_00 g_01 g_02]
[g_10 g_11 g_12]
[g_20 g_21 g_22]
[g_30 g_31 g_32]
It creates a matrix g
of symbolic variables g_00
, g_01
, etc. You can access each variable either by g_ij
or g[i,j]
.
Edit. To cope with a more general case you can use a dictionary, for example:
sage: m, n, p = 3, 2, 2
sage: g = {(i,j,k): var("g_{}{}{}".format(i,j,k),
....: latex_name="g_{{{}{}{}}}".format(i,j,k))
....: for i in [0..m] for j in [0..n] for k in [0..p]}
sage: g
{(0, 0, 0): g_000,
(0, 0, 1): g_001,
(0, 0, 2): g_002,
(0, 1, 0): g_010,
(0, 1, 1): g_011,
.................................
(3, 2, 0): g_320,
(3, 2, 1): g_321,
(3, 2, 2): g_322}
Variables can be accessed by g_ijk
or g[(i,j,k)]
.