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From: Network Terminology

converging

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Con·verge v. i. [imp. & p. p. Converged p. pr. & vb. n. Converging ] To tend to one point; to incline and approach nearer together; as, lines converge.

*The mountains converge into a single ridge.* --*Jefferson.*

Con·ver·ging a. Tending to one point; approaching each other; convergent; as, converging lines.

**Converging rays**Opt., rays of light, which, proceeding from different points of an object, tend toward a single point.

**Converging series** Math., a series in which if an indefinitely great number of terms be taken, their sum will become indefinitely near in value to a fixed quantity, which is called the __sum of the series__; -- opposed to a diverging series.

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From: WordNet (r) 2.0

converging

n : the act of converging (coming closer) [syn: convergence, convergency]