CS 2322 Solutions to Laboratory Problem Set 1

• Problem: Using Explicit Definition

  NB. The square function (explicit definition)
  
  square =: monad define script
  y.^2
  )
  
  NB. The sum_of_squares function (explicit definition)
  
  sum_of_squares =: dyad define script
  (square x.)+square y.
  )
  
  NB. Some examples
  
  square 3
  3 sum_of_squares 4
  

• Problem: Using Tacit Definition

  NB. Tacit Definition
  
  NB. Dyad
  
  sum_of_squares =: + & (^&2)
  
  NB. Also, works as the generalization (below) and as
  NB. a dyad (why?).
  
  sum_of_squares =: +/ & (^&2)
  
  NB. Monad
  
  NB. Generalization of sum_of_squares
  
  sum_sq =: +/ @ (^&2)
  
  NB. Also
  
  +/ & (^&2)
  
  NB. and
  
  +/ @: *: