Verb

(deriv)

To obtain or receive (something) from something else.

* {{quote-magazine, year=2013, month=July-August, author= Sarah Glaz

, title= Ode to Prime Numbers , volume=101, issue=4, magazine=(American Scientist) , passage=Some poems, echoing the purpose of early poetic treatises on scientific principles, attempt to elucidate the mathematical concepts that underlie prime numbers. Others play with primes’ cultural associations. Still others derive their structure from mathematical patterns involving primes.}}

(logic) To deduce (a conclusion) by reasoning.

(linguistics) To find the derivation of (a word or phrase).

(chemistry) To create (a compound) from another by means of a reaction.

To originate or stem (from).

* {{quote-magazine, date=2012-01

, author=Robert M. Pringle, volume=100, issue=1, page=31, magazine=(American Scientist) , title= How to Be Manipulative , passage=As in much of biology, the most satisfying truths in ecology derive from manipulative experimentation. Tinker with nature and quantify how it responds.}}

To turn the course of (water, etc.); to divert and distribute into subordinate channels.

* (and other bibliographic details) Holland

For fear it [water] choke up the pitsthey [the workman] derive it by other drains.

Verb

(diverg)

(intransitive, literally, of lines or paths) To run apart; to separate; to tend into different directions.

* 1916 , :

Two roads diverged in a yellow wood, / And sorry I could not travel both /

To become different; to run apart; to separate; to tend into different directions.

Both stories start out the same way, but they diverge halfway through.

(intransitive, literally, of a line or path) To separate, to tend into a different direction (from another line or path).

The sidewalk runs next to the street for a few miles, then diverges from it and turns north.

To become different, to separate (from another line or path).

The software is pretty good, except for a few cases where its behavior diverges from user expectations.

Not to converge: to have no limit, or no finite limit.

The sequence $x\_n\; =\; n^2$ diverges to infinity: that is, it increases without bound.