[dih-vurj, dahy-]
verb (used without object), diverged, diverging.
to move, lie, or extend in different directions from a common point; branch off.
to differ in opinion, character, form, etc.; deviate.
Mathematics. (of a sequence, series, etc.) to have no unique limit; to have infinity as a limit.
to turn aside or deviate, as from a path, practice, or plan.
verb (used with object), diverged, diverging.
to deflect or turn aside.

1655–65; < Medieval Latin dīvergere, equivalent to Latin dī- di-2 + vergere to incline

nondiverging, adjective
undiverging, adjective

digress, diverge, diverse.

1. separate, deviate, fork. 4. See deviate.
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
diverge (daɪˈvɜːdʒ)
1.  to separate or cause to separate and go in different directions from a point
2.  (intr) to be at variance; differ: our opinions diverge
3.  (intr) to deviate from a prescribed course
4.  (intr) maths (of a series or sequence) to have no limit
[C17: from Medieval Latin dīvergere, from Latin di-² + vergere to turn]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1660s, from L. divergere "go in different directions," from dis- "apart" + vergere "to bend, turn" (see verge (v.)). Originally a term in optics; the figurative sense is 19c. Related: Diverged; diverging.
Online Etymology Dictionary, © 2010 Douglas Harper
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Computing Dictionary

diverge definition

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.

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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Example sentences
Tell students that as part of evolution, species can converge and diverge over
But now the economy rewards specialization, so workplaces and lifestyles
How countries fare in terms of their rankings on the two variables can diverge
But even among the world's paragons of corporate virtue, reality and rhetoric
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