Quantum redactiones paginae "Series Fourieriana" differant

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[[Fasciculus:Fourier Series.svg|thumb|[[Unda quadrata|Undae quadratae]] sunt depictae primae quattuor summae seriei Fourierianae.]]
'''Series Fourieriana'''<ref>[https://books.google.com/books?id=TSBWAAAAcAAJ&pg=PP3&lpg=PP3&dq=series+fourieriana&source=bl&ots=eIrG4zg-gB&sig=zUUaFvk2KYYerwBn7nbP-Z-AhHw&hl=en&sa=X&ved=0ahUKEwih8auI2ZbWAhVJ5YMKHX41BN0Q6AEILDAA#v=onepage&q=series%20fourieriana&f=false ''Petrus Ernestus de Lasaulx, Philosophiae Doctor, Ordinis S. Michaelis Eques ... ad Disputationem Publicam . . . a praeclaro et perdocto viro ac domino Eduardo Selling . . . rectorem universitatis magnificum, patres conscriptos, omnium ordinum professores, cives academicos, literatos denique ac literarum fautores, omni, qui par est, observantia invitat''] (Monachii 1859).</ref> in [[mathematica]] est [[Series (mathematica)|series]] ex functionibus [[Sinus (mathematica)|sinusoidalibus]] [[cosinus|cosinusoidalibusque]] vocata.<ref>''The fouriertransform.com'': [http://www.thefouriertransform.com/series/fourier.php#series de serie FourierFourieriana]iana.</ref> ''Investigatio'' seriei Fourierianae est pars [[analysis Fourieriana]]e. Vicissatim singulares [[functiones trigonometricae|functiones trigonometricas]] quavis ex functione periodica ''recuperari'' licet, quod [[transformatio Fourieriana]] nominatur.
 
=== Series ===
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* <math>\sum_{i=0}^{\infty} a_i = a_0 + a_1 + a_2 ...</math>
 
SerieiCum [[functiones trigonometricae|functionibus trigonometricis]] seriei Fourieriana enim haec forma est:
*<math>\frac{a_0}{2} + \sum_{i=1}^\infty\left[a_i\cos\frac{2i\pi}{T}t + b_i\sin\frac{2i\pi}{T}t\right]</math>