circular function

n : function of an angle expressed as a ratio of the sides of

right-angled triangle containing the angle [syn: {trigonometric

function}]

linear function

A {recursive} function is linear if it is of the form

f x ◦ if p x then q x else h f x

where h is a "linear functional" which means that

(1) for all functions, a, b c and some function ht

h (if a then b else c) ◦ if ht a then h b else h c

Function ht is known as the "predicate transformer" of h.

(2) If for some x,

h (\ y . bottom) x /◦ bottom

then

for all g, ht g x ◦ True.

I.e. if h g x terminates despite g x not terminating then ht g

x doesn't depend on g.

See also {linear argument}.

(1995-02-15)