Model Mathematics

sin1 = \sin x

\frac{d}{d x} (sin2) = \cos x

k2_oPi = \frac{2.0}{π} k2Pi = 2.0 π kPi_2 = \frac{π}{2.0} kPi = π kPi_32 = \frac{3.0 π}{2.0} z = \{\begin{matrix} x k2_oPi - 0.5 if x < kPi_2 \\ (π - x) k2_oPi - 0.5 if x < kPi \\ (x - π) k2_oPi - 0.5 if x < kPi_32 \\ (k2Pi - x) k2_oPi - 0.5 otherwise \end{matrix} sin3 = \{\begin{matrix} (- (z z)) + C + z if x < kPi_2 \\ (- (z z)) + C + z if x < kPi \\ z z - C - z if x < kPi_32 \\ z z - C - z otherwise \end{matrix}