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Open | > 0 0 0 | Larger Than

Open is the inverse of box, that is,`<y` is `y` .`` When applied to an open array (that has no boxed elements), open has no effect. Opened atoms are brought to a common shape as discussed in Section II B.

`x>y` is`1` if`x` is tolerantly larger than`y` .`` See Equal (`=`) for a discussion of tolerance. For example:

       1 2 3 4 5  >  5 4 3 2 1
    0 0 0 1 1

Tolerance`t` is provided by`>!.t` .

Since the rank of open is 0, it applies to each atom of its argument. For example:

       ]a=: 1 2 3;4 5 6;7 8 9
    +-----+-----+-----+
    |1 2 3|4 5 6|7 8 9|
    +-----+-----+-----+

       >a
    1 2 3
    4 5 6
    7 8 9

Results of different shapes are padded as defined in Section II B. For example:

       (>1;2 3;4 5 6); (>'a';'bc';'def'); (<\i.4); (<\i.4)
    +-----+---+---------------------+-------+
    |1 0 0|a  |+-+---+-----+-------+|0 0 0 0|
    |2 3 0|bc ||0|0 1|0 1 2|0 1 2 3||0 1 0 0|
    |4 5 6|def|+-+---+-----+-------+|0 1 2 0|
    |     |   |                     |0 1 2 3|
    +-----+---+---------------------+-------+

       </~ i.5                    NB. Table of the dyad <:
    0 1 1 1 1
    0 0 1 1 1
    0 0 0 1 1
    0 0 0 0 1
    0 0 0 0 0

       1 < 1+10^-8+i.15           NB. Tolerant comparison
    1 1 1 1 1 1 0 0 0 0 0 0 0 0 0

       1 <!.(0) 1+10^-8+i.15      NB. Exact comparison (0-tolerance)
    1 1 1 1 1 1 1 1 0 0 0 0 0 0 0

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