supermodular
Adjective
Meaning
supermodular (not comparable)
(mathematics, said of a function) having the property that
f
(
x
∨
y
)
+
f
(
x
∧
y
)
≥
f
(
x
)
+
f
(
y
)
{\displaystyle f(x\lor y)+f(x\land y)\geq f(x)+f(y)}
for all x, y
∈
{\displaystyle \in }
R, where x
∨
{\displaystyle \vee }
y denotes the componentwise maximum and x
∧
{\displaystyle \wedge }
y the componentwise minimum of x and y.