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Tie m`n  m`v  u`n  u`v  

In English, a gerund is a noun that carries the force of a verb, as does the noun cooking in the art of cooking. The tie applies to two verbs to produce a gerund. Gerunds are commonly used with Insert (/) and with Agenda (@.):
 		 

   ]g=: +`*
+-+-+
|+|*|
+-+-+

   (g/1 2 3 4 5) ; (1+2*3+4*5)
+--+--+
|47|47|
+--+--+
More generally, tie produces gerunds as follows: u`v is au,av , where au and av are the (boxed noun) atomic representations (5!:1) of u and v . Moreover, m`n is m,n and m`v is m,av and u`n is au,n . See Bernecky and Hui [12]. Gerunds may also be produced directly by boxing. Thus:
   ]h=: '+' ; '*'
+-+-+
|+|*|
+-+-+

   h/1 2 3 4 5
47
The atomic representation of a noun (used so as to distinguish a noun such as '+' from the verb +) is given by the following function:
   (ar=: [: < (,'0')"_ ; ]) '+'
+-----+
|+-+-+|
||0|+||
|+-+-+|
+-----+

   *`(ar '+')
+-+-----+
|*|+-+-+|
| ||0|+||
| |+-+-+|
+-+-----+
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