What does harmonic number mean?

Definitions for harmonic number
har·mon·ic num·ber

This dictionary definitions page includes all the possible meanings, example usage and translations of the word harmonic number.

Wiktionary

  1. harmonic numbernoun

    Any of a series of numbers formed from the sum of the reciprocals of consecutive integers

Wikidata

  1. Harmonic number

    In mathematics, the n-th harmonic number is the sum of the reciprocals of the first n natural numbers: This also equals n times the inverse of the harmonic mean of these natural numbers. Harmonic numbers were studied in antiquity and are important in various branches of number theory. They are sometimes loosely termed harmonic series, are closely related to the Riemann zeta function, and appear in the expressions of various special functions. When the value of a large quantity of items has a Zipf's law distribution, the total value of the n most-valuable items is the n-th harmonic number. This leads to a variety of surprising conclusions in the Long Tail and the theory of network value.

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Numerology

  1. Chaldean Numerology

    The numerical value of harmonic number in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of harmonic number in Pythagorean Numerology is: 1


Translations for harmonic number

From our Multilingual Translation Dictionary

  • αρμονικός αριθμόςGreek
  • ஹார்மோனிக் எண்Tamil

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"harmonic number." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/harmonic+number>.

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