Sample 4. Function Tables

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4. Function Tables
Just as the behaviour of addition is made clear by addition tables in elementary school, so the behaviour of other verbs (or functions) can be made clear by function tables.
The next few pages show how to make function tables, and how to use the utility functions`over` and`by` to border them with their arguments to make them easier to interpret.
Study the tables shown, and make tables for other functions (such as`< <.` and`%`) suggested by the Vocabulary.

       (+/~ ; */~) 0 1 2          Addition and Times tables
    +-----+-----+
    |0 1 2|0 0 0|
    |1 2 3|0 1 2|
    |2 3 4|0 2 4|
    +-----+-----+

       ^/ ~ i. 4                  Power table
    1 0 0  0
    1 1 1  1
    1 2 4  8
    1 3 9 27

       +./~ 0 1                   Or table
    0 1
    1 1

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