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harmonic series

noun, Mathematics
1.
a series in which the reciprocals of the terms form an arithmetic progression.
2.
the divergent infinite series, 1 + 1/2 + 1/3 + 1/4 + 1/5 + . . . .
Origin of harmonic series
1865-1870
1865-70
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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British Dictionary definitions for harmonic series

harmonic series

noun
1.
(maths) a series whose terms are in harmonic progression, as in 1 + 1/2 + 1/3 + …
2.
(acoustics) the series of tones with frequencies strictly related to one another and to the fundamental tone, as obtained by touching lightly the node points of a string while playing it. Its most important application is in the playing of brass instruments
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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harmonic series in Science
harmonic series  
A series whose terms are in harmonic progression, especially the series 1 + 1/2 + 1/3 + 1/4 + .... and so on.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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