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 Reciprocal %  0 0 0 Divided by

 % y is the reciprocal of y , that is, 1%y . For example, %4 ↔ 0.25 . x % y is division of x by y as defined in elementary math, except that 0%0 is 0 . See McDonnell [11], and the resulting pattern in the middle column and middle row of the table below.

We will illustrate the divide function by tables, using a function to generate lists symmetric about zero:
```   ] a=: i: 3
_3 _2 _1 0 1 2 3

(] ; *) |. a%/a
+--------------------------------------+--------------------+
|       _1 _1.5 _3  _  3  1.5         1|_1 _1 _1  1  1  1  1|
|_0.666667   _1 _2  _  2    1  0.666667|_1 _1 _1  1  1  1  1|
|_0.333333 _0.5 _1  _  1  0.5  0.333333|_1 _1 _1  1  1  1  1|
|        0    0  0  0  0    0         0| 0  0  0  0  0  0  0|
| 0.333333  0.5  1 __ _1 _0.5 _0.333333| 1  1  1 _1 _1 _1 _1|
| 0.666667    1  2 __ _2   _1 _0.666667| 1  1  1 _1 _1 _1 _1|
|        1  1.5  3 __ _3 _1.5        _1| 1  1  1 _1 _1 _1 _1|
+--------------------------------------+--------------------+

6j2 ": |. a %/ a
_1.00 _1.50 _3.00     _  3.00  1.50  1.00
_0.67 _1.00 _2.00     _  2.00  1.00  0.67
_0.33 _0.50 _1.00     _  1.00  0.50  0.33
0.00  0.00  0.00  0.00  0.00  0.00  0.00
0.33  0.50  1.00    __ _1.00 _0.50 _0.33
0.67  1.00  2.00    __ _2.00 _1.00 _0.67
1.00  1.50  3.00    __ _3.00 _1.50 _1.00
```
The final use of the format function gives a more readable result, with a width of six spaces per column and a uniform two digits after the decimal point.
```   |. a %/ x: a
_1 _3r2 _3  _  3  3r2    1
_2r3   _1 _2  _  2    1  2r3
_1r3 _1r2 _1  _  1  1r2  1r3
0    0  0  0  0    0    0
1r3  1r2  1 __ _1 _1r2 _1r3
2r3    1  2 __ _2   _1 _2r3
1  3r2  3 __ _3 _3r2   _1
```

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