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� +------------------------+