Editing Sunspot number (section)

===Smoothed monthly mean===
To calculate the 13-month smoothed monthly mean sunspot number, which is commonly used to calculate the minima and maxima of solar cycles, a tapered-boxcar smoothing function is used. For a given month <math>m</math>, with a monthly sunspot number of <math>R_m</math>, the smoothed monthly mean <math>R_s</math> can be expressed as
: <math>R_s = (0.5 R_{m-6} + R_{m-5} + \dots+ R_{m-1} + R_{m} + R_{m+1} + \dots + R_{m+5} + 0.5 R_{m+6}) / 12 </math>
where <math>R_{m+n}</math> is the monthly sunspot number <math>n</math> months away from month <math>m</math>. The smoothed monthly mean is intended to dampen any sudden jumps in the monthly sunspot number and remove the effects of the 27-day solar rotation period.<ref>{{cite web |title=What does smoothed monthly mean sunspot number actually mean? {{!}} SILSO |url=https://www.sidc.be/SILSO/faq6 |website=www.sidc.be |access-date=16 August 2022}}</ref>