Difference between revisions of "Template:Harmonic number generator/doc"

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'''Template:Harmonic number generator''' takes 3 base numbers ''a'', ''b'', ''c'' and returns a decreasing, inverse [https://en.wikipedia.org/wiki/Harmonic_number harmonic] sequence for each in the form ''H(n) × a'', ''H(n) × b'', and ''H(n) × c'' up to ''n=11''. The main purpose of this template is to quickly find [https://wiki.teamfortress.com/wiki/Control_point_timing point capture times] for map pages.
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'''Template:Harmonic number generator''' takes 3 base numbers ''b<sub>1</sub>'', ''b<sub>2</sub>'', ''b<sub>3</sub>'' and returns a decreasing, inverse [https://en.wikipedia.org/wiki/Harmonic_number harmonic] sequence for each in the form ''1/H(n) × b<sub>i</sub>'' up to ''n=11''. The main purpose of this template is to quickly find [https://wiki.teamfortress.com/wiki/Control_point_timing point capture times] for map pages.
  
 
The template uses the parser function [https://www.mediawiki.org/wiki/Help:Extension:ParserFunctions##expr #expr] for its calculations. It rounds to 2 decimal places. Note that the template will not include zeros in decimal places.
 
The template uses the parser function [https://www.mediawiki.org/wiki/Help:Extension:ParserFunctions##expr #expr] for its calculations. It rounds to 2 decimal places. Note that the template will not include zeros in decimal places.

Latest revision as of 11:26, 23 June 2022

Template:Harmonic number generator takes 3 base numbers b1, b2, b3 and returns a decreasing, inverse harmonic sequence for each in the form 1/H(n) × bi up to n=11. The main purpose of this template is to quickly find point capture times for map pages.

The template uses the parser function #expr for its calculations. It rounds to 2 decimal places. Note that the template will not include zeros in decimal places.

Example[edit]

Process has base point capture times of 22, 14 and 4 seconds for its mid, second and last points respectively. We can use Template:Harmonic number generator to find the capture times for each player multiplier up to x11.

{{Harmonic number generator|22|14|4}}

Will yield:

n=1 22 14 4
2 14.67 9.33 2.67
3 12 7.64 2.18
4 10.56 6.72 1.92
5 9.64 6.13 1.75
6 8.98 5.71 1.63
7 8.48 5.4 1.54
8 8.09 5.15 1.47
9 7.78 4.95 1.41
10 7.51 4.78 1.37
11 7.29 4.64 1.32