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1. Visualization

comparison

2. Formulae

2.1. In

\[ f(t) = t^3\]

2.2. Out

\[ f(t) = t^3 - 3t^2 +3t\]

2.3. In-Out

\[ f(t) = \left\{ \begin{array}{lr} 4 t^3 & t \leq 0.5 \\ 4 t^3 - 12 t^2 + 12 t - 3& t > 0.5 \\ \end{array} \right.\]