1 Answers
In mathematics, the layer cake representation of a non-negative, real-valued measurable function f defined on a measure space {\displaystyle } is the formula
for all x ∈ Ω {\displaystyle x\in \Omega } , where 1 E {\displaystyle 1_{E}} denotes the indicator function of a subset E ⊆ Ω {\displaystyle E\subseteq \Omega } and L {\displaystyle L} denotes the super-level set
The layer cake representation follows easily from observing that
and then using the formula
10 views
Answered