Terrence Brannon asked:
>  so the 2nd question is how to do this statefuly:
>  ( (5 {.) ; (3 }. 11 {.) ; ( 8 }. 16 }. ) ; ( 24 }. )  ) alpha

J, being a functional language, often eschews state.  For partitioning a 
string, I suggest you look at the cut conjunction (;.).  Here's an example of 
its use:

           (_2 ,:/\ 0 4   3 10   24 25   24 25) <;.0 alpha
        +----+----------+--+--+
        |abcd|defghijklm|yz|yz|
        +----+----------+--+--+

> the first question is how to get a series of monadic verbs to 
> each be  applied to the same noun and then get each application 
> stored in a box


If I understand the question properly, you several options.  Here are some, 
listed in ascending order of difficulty to generalize:
        
           13 : '(5 {.y) ; (   3 }.   11 {.y) ; (   8 }.   16 }.y) ; 24 }.y'    
 alpha
        +-----+--------+--+--+
        |abcde|defghijk|yz|yz|
        +-----+--------+--+--+

                ((5 {.]) ; (   3 }.   11 {.]) ; (   8 }.   16 }.]) ; 24 }.] )   
 alpha
        +-----+--------+--+--+
        |abcde|defghijk|yz|yz|
        +-----+--------+--+--+

                ( 5&{.   ; ([: 3&}.   11&{.)  ; ([: 8&}.   16&}.)  ; 24&}.  )   
 alpha
        +-----+--------+--+--+
        |abcde|defghijk|yz|yz|
        +-----+--------+--+--+

                ( 5&{.   ;     3&}.@:(11&{.)  ;     8&}.@:(16&}.)  ; 24&}.  )   
 alpha
        +-----+--------+--+--+
        |abcde|defghijk|yz|yz|
        +-----+--------+--+--+

And a bonus:
 
           require'doog'  NB.  
http://www.jsoftware.com/svn/DanBron/trunk/general/doog.ijs

           < At ((5 {.]) ` (   3 }.   11 {.]) ` (   8 }.   16 }.]) `(24 
}.]))`:0 alpha
        +-----+--------+--+--+
        |abcde|defghijk|yz|yz|
        +-----+--------+--+--+
-Dan
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