Linear Displacement Theorem

A visualization of f(x) = (x - p) / √(x - p), animated as a theorem for musical structure—an emergence of form through contrast and memory.

Adjust p (shared threshold): f(x) = (x - p) / √(x - p) g(x) = √(x - p) h(x) = ln(x - p) f1(x) = fx × sin(x) f2(x) = √(x - p) + sin(2x) f3(x) = fx × exp(-0.1x) f4(x) = (x - p)^1.5 f5(x) = sin(2(x - p)) / √(x - p) f6(x) = tan((x - p)/5) f7(x) = |fx| f8(x) = ln(x - p) × sin(x) f9(x) = √(x - p) × exp(-0.05x) f10(x) = fx + sin(time) f11(x) = sin(x - p) × ln(x - p) f12(x) = sin³(x - p)