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harmonic series
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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:
1865–70
1865–70
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Harmonic series
is always a great word to know.
So is reduce. Does it mean:
| to change the denomination or form, but not the value, of a fraction or polynomial |
| the third power of a quantity such as a cubed = a?a?a |
Collins
World English Dictionary
| harmonic series | |
| —n | |
| 1. | maths a series whose terms are in harmonic progression, as in 1 + ½ + 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 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source
American Heritage
Science Dictionary
| 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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Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
Cite This Source
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