Configuration
Gates in Stream
SymbolicGate
Piecewise lookup. Is x in (0,π)? Then f(x)=1.
Finite rule. Exact answer. No series.
Finite rule. Exact answer. No series.
FourierGate
Partial sum of N sine harmonics.
Infinite terms needed — but infinity isn't available.
Infinite terms needed — but infinity isn't available.
Event Stream
📐 Symbolic — Piecewise Lookup
The signal is defined. The value is known. No computation required.
f(x) = 1
0 < x < π
f(x) = 0
π < x < 2π
f(x) = ½
x = 0, π, 2π
Exact Value
Finite lookup. Zero operations. Exact.
🔊 Fourier — 16 Harmonics
Partial sum: ½ + (2/π) Σ sin((2k−1)x)/(2k−1)
Fourier Result