SISO — Area Under a Curve

Symbolic gate vs. Numerical gate — same event, two transforms

Configuration

8

Gates in Stream

SymbolicMathGate
Pattern-matches ∫ f(x) dx → antiderivative.
Evaluates F(b)−F(a). Exact result.
NumericalGate
Riemann sums, trapezoidal, Simpson's.
Approximation with configurable n.

Event Stream

📐 Symbolic — Pattern Matching

MathGate transforms ∫ f(x) dx via regex rules
Exact Result
error: 0 — exact by definition

📊 Numerical — Left Riemann

Approximate area with 8 rectangles
Approximation

Convergence