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Hui Li edited excess mass.tex
over 9 years ago
Commit id: e6c8da9ab72dc41312ff2a59b76143a2d0271e9d
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diff --git a/excess mass.tex b/excess mass.tex
index 8f76d26..1774091 100644
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\begin{equation}
\lambda \rightarrow E(\lambda)=\int (f(x)-\lambda)^+ dx.
\end{equation}
Qualitatively, the excess mass $E(\lambda)$ is the sum of contributions $E_C(\lambda)\equiv \int_C (f(x)-\lambda)dx$ coming form connected sets
$C[C\subset\{x:f(x)>\lambda\ }]$ $C[C \subset{} {x:f(x)>\lambda}]$