Things for 2
It is useful, especially in a functional programming language, to replace as many dyads which habitually use a constant as one argument, with monads defined in terms of that constant argument. The number 2 occurs in various contexts in J. Here we discuss the family denoted by the : cases of + - * % . +: is the “double”, or “times 2” verb +: _1.5 0 3.25 4 _3 0 6.5 8 -: is the “halve:” or “divide by 2” verb -: _1.5 0 3.25 4 _0.75 0 1.625 2 *: is the “square”, or “power 2” verb *: _1.5 0 3.25 4 2.25 0 10.5625 16 %: is the “square root” or “root 2” verb %: _1.5 0 3.25 4 0j1.22474 0 1.80278 2 Tow more 2-related verbs are the monads #. (2 base value) and its inverse #: (base 2 representation) #. 1 0 1 0 1,:1 1 1 0 0 21 28 #: 21 28 1 0 1 0 1 1 1 1 0 0 |