different between submodular vs supermodular

English

sub- +? modular

submodular (comparative more submodular, superlative most submodular)

super- +? modular

supermodular (not comparable)

(mathematics, said of a function) having the property that $f(x\lor y)+f(x\land y)\geq f(x)+f(y)$ for all x, y $\in$ R^k, where x $\vee$ y denotes the componentwise maximum and x $\wedge$ y the componentwise minimum of x and y.

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