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- ...there are <math>N</math> numbers <math>X_1,X_2,X_3...X_N</math>, then the harmonic mean of these numbers are Out of the [[geometric mean]] and [[arithmetic mean]], the harmonic mean is usually the smallest.<ref>{{Cite web|last=Weisstein|first=Eric W.|t ...1 KB (191 words) - 02:04, 1 June 2024
- ...not all series whose terms approach zero converge. A counterexample is the harmonic series The [[divergence]] of the harmonic series was proven by the medieval mathematician Nicole Oresme. ...808 bytes (114 words) - 04:57, 2 November 2022
- ...thematics]], '''Euler-Mascheroni''' constant is a number that appears in [[analysis]] and [[number theory]]. It first appeared in the work of Swiss mathematici ...is given by the limiting difference between the natural logarithm and the harmonic series:<ref name=":0" /><ref name="gm">{{cite web|date=April 14, 2004|title ...3 KB (493 words) - 13:33, 1 February 2024
- ...sis Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/calculus-analysis-symbols/|access-date=2020-08-30|website=Math Vault|language=en-US}}</ref> w ...-30|website=www.mathsisfun.com}}</ref> The [[Harmonic series (mathematics)|harmonic series]] is an example of a series which diverges. ...3 KB (367 words) - 01:22, 20 January 2023
- ...sis Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/calculus-analysis-symbols/|access-date=2020-10-14|website=Math Vault|language=en-US}}</ref> === Harmonic Progressions (HP) === ...5 KB (773 words) - 20:47, 27 April 2024
- [[Category:Harmonic analysis]] ...2 KB (288 words) - 06:54, 5 March 2025
- [[Category:Harmonic analysis]] ...2 KB (322 words) - 20:48, 11 February 2024
- [[Category:Harmonic analysis]] ...2 KB (350 words) - 02:19, 10 February 2024
- ...sis Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/calculus-analysis-symbols/|access-date=2020-10-15|website=Math Vault|language=en-US}}</ref> * [[Fourier analysis]] ...4 KB (650 words) - 20:29, 26 January 2024