>>  <<  Ndx  Usr  Pri  Phr  Dic  Rel  Voc  !:  wd  Help  Phrases

Function Tables

d0=: +/Addition table
d1=: */Multiplication table
d2=: >./Maximum table
d3=: [ by ] over +/Bordered addition table
d4=: by=: ' '&;@,.@[,.]Format function
d5=: over=: ({.;}.)@":@,Format function
m6=: +/~@i.Addition table on first y integers
m7=: bc=: !/~@i.Binomial coefficients of order y
a8=: ft=: (/ ~) (@i.)Function table
a9=: bft=: 1 : 'i. by i. over x./~@i.'Bordered function table (Explicit definition)

The first three phrases produce function tables as illustrated below:

   2 3 5 (d0 ; d1 ; d2) 0 1 2 3 4 5
+----------------------------------------+
�2 3 4 5 6  7�0 2  4  6  8 10�2 2 2 3 4 5�
�3 4 5 6 7  8�0 3  6  9 12 15�3 3 3 3 4 5�
�5 6 7 8 9 10�0 5 10 15 20 25�5 5 5 5 5 5�
+----------------------------------------+

The next produces an addition table bordered by its arguments for easy reading; m6 and m7 produce tables on lists of integers, and the adverb a9 produces a bordered function table:

   2 3 5 d3 0 1 2 3 4 5
+--------------+
� �0 1 2 3 4  5�
+-+------------�
�2�2 3 4 5 6  7�
�3�3 4 5 6 7  8�
�5�5 6 7 8 9 10�
+--------------+

  (m6 ; m7) 5
+-------------------+
�0 1 2 3 4�1 1 1 1 1�
�1 2 3 4 5�0 1 2 3 4�
�2 3 4 5 6�0 0 1 3 6�
�3 4 5 6 7�0 0 0 1 4�
�4 5 6 7 8�0 0 0 0 1�
+-------------------+

   % a9 5
+------------------------+
� �0 1   2         3    4�
+-+----------------------�
�0�0 0   0         0    0�
�1�_ 1 0.5 0.3333333 0.25�
�2�_ 2   1 0.6666667  0.5�
�3�_ 3 1.5         1 0.75�
�4�_ 4   2   1.33333    1�
+------------------------+

>>  <<  Ndx  Usr  Pri  Phr  Dic  Rel  Voc  !:  wd  Help  Phrases