The Conjugate Function of the One-Cycle Sawtooth Wave





The Number of Series Terms Added in Each Run
Prec. Fourier Series Center Series Ratios FS/CS
Req. Average Maximum Average Maximum Average Maximum
$10^{-3}$ $752.56$ $3501$ $35.69$ $795$ $21.09$ $4.40$
$10^{-4}$ $7411.30$ $29995$ $114.99$ $2265$ $64.45$ $13.24$
$10^{-5}$ $73667.17$ $291994$ $366.73$ $7250$ $200.88$ $40.28$
$10^{-6}$ $735567.52$ $2870494$ $1160.84$ $21746$ $633.65$ $132.00$
$10^{-7}$ $7354439.12$ $28649994$ $3660.41$ $69244$ $2009.18$ $413.75$
$10^{-8}$ $73545041.88$ $286472994$ $11559.16$ $220244$ $6362.49$ $1300.71$





The Time of Each Run in Seconds
Precision Required Fourier Series Time Center Series Time Ratios FS/CS
$10^{-3}$ $0.09$ $0.00$ N/A
$10^{-4}$ $0.93$ $0.01$ $93.00$
$10^{-5}$ $9.60$ $0.04$ $240.00$
$10^{-6}$ $98.01$ $0.14$ $700.07$
$10^{-7}$ $1007.29$ $0.47$ $2143.17$
$10^{-8}$ $42957.88$ $1.45$ $29626.12$