table -- make a table from a binary function

Synopsis

• Usage:

  table(a, b, f)

  table(m, n, f)

• Inputs:
  • a, a list,
  • b, a list,
  • m, an integer,
  • n, an integer,
  • f, a function f(i,j) of two variables
• Outputs:
  • T, a table, or list of lists, where $T_{ij}$ is the value of $f(a_i, b_j)$, OR, if using integer arguments $m$ and $n$, $T_{ij}=f(i,j)$ for $0\le i < m, 0\le j < n$

Description

i1 : t1 = table({1,3,5,7}, {0,1,2,4}, (i,j) -> i^j)

o1 = {{1, 1, 1, 1}, {1, 3, 9, 81}, {1, 5, 25, 625}, {1, 7, 49, 2401}}

o1 : List

i2 : t2 = table(5, 5, (i,j) -> i+j)

o2 = {{0, 1, 2, 3, 4}, {1, 2, 3, 4, 5}, {2, 3, 4, 5, 6}, {3, 4, 5, 6, 7}, {4,
     ------------------------------------------------------------------------
     5, 6, 7, 8}}

o2 : List

i3 : netList t1

     +-+-+--+----+
o3 = |1|1|1 |1   |
     +-+-+--+----+
     |1|3|9 |81  |
     +-+-+--+----+
     |1|5|25|625 |
     +-+-+--+----+
     |1|7|49|2401|
     +-+-+--+----+

See also

• applyTable -- apply a function to each element of a table
• isTable -- whether something is a list of lists of equal length
• subtable -- extract a subtable from a table
• lists and sequences -- a detailed overview of lists and sequences in Macaulay2