verge

n 1: a region marking a boundary [syn: {brink}, {threshold}]

2: the limit beyond which something happens or changes; "on the

verge of tears"; "on the brink of bankruptcy" [syn: {brink}]

3: a ceremonial or emblematic staff [syn: {scepter}, {sceptre},

{wand}]

4: (British) a grass border along a road

v : verge on; come close to

diverge

If a series of approximations to some value get progressively

further from it then the series is said to diverge.

The {reduction} of some term under some {evaluation strategy}

diverges if it does not reach a {normal form} after a finite

number of reductions.

(1994-12-08)