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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:
   sym=: i.@>:@+: - ]         Symmetric integers
   ] a=: sym 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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