The amplitude of the QT Pattern is high in the vicinity of the R peaks, therefore to be analyzed signal for QRS complex starting point QRS Pattern is defined with a piecewise function
6 Apendix: Pieces of the piecewise function
of the derivative of E(D)
2014), a two-part piecewise function
was fitted on these discrete density points for each environmental condition.
G](y | x) of integral Equation (14) as a piecewise function
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (x, y) .
The second simulation predicts the chaotic time series , and the third example approximates a piecewise function
My "calculus--level" solution to deal with this problem is to define the cube root function as a piecewise function
for which cube roots of negative real numbers are computed correctly.
This is the piecewise function
of TS as a function of EBITO (see eq (2)).
Let us define a piecewise function
f which identifies if the point of Bezier curve lies inside or outside the obstacle (outside or inside the working space / is a part of the obstacle or not).
Yu and Wu  also recommended a piecewise function
to describe the damage evolution:
A linear piecewise function
with two parts can be fit on the probability distribution curves.
The activation function can be formulated as a nonlinear piecewise function
, expressed as
As a spline is a piecewise function
that is fitted exactly to a small number of data at neighboring locations, then (1) it can reproduce a small scale of variation, and (2) it can easily modify parts of curves (or surfaces) without affecting other parts.