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Box - monad <

So far you have dealt with atoms that are either numeric or character. The monad < (box) introduces a new type of atom called boxed. The monad < applies to any noun and returns an atom that is a box which contains the argument.

An array is either a numeric array that contains numbers, or a literal array that contains characters, or a boxed array that contains boxes. Arrays of numbers and characters are referred to as open to distinguish them from boxed arrays.

   b =. < 2 3 4
   $b		NB. an atom has empty shape

A boxed array is displayed in a box.

   b
+-----+
�2 3 4�
+-----+

   c =. < 4 7 9
   d =. b , c	NB. append
   d
+-----------+
�2 3 4�4 7 9�
+-----------+

   $d		NB. list with shape 2
2

   (< 2 3 4) , < 4 7 9
+-----------+
�2 3 4�4 7 9�
+-----------+

Arrays of different types (numeric, character, and boxed) cannot be appended to one another.

   'a' , 3
�domain error
�   'a'    ,3

   3 , < 2 3 4
�domain error
�   3    ,<2 3 4

Boxed arrays are of the same type and can be appended no matter what they contain.

   (< 'abc') , < 4 5 6
+---------+
�abc�4 5 6�
+---------+

   (< 2 3 $ 'abcdef') , (< i. 3 4) , < 23
+----------------+
�abc�0 1  2  3�23�
�def�4 5  6  7�  �
�   �8 9 10 11�  �
+----------------+

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