Lexic.us

Definition of Supermodular

1. Adjective. (mathematics said of a function) having the property that $f(x\; \backslash lor\; y)\; +\; f(x\; \backslash land\; y)\; \backslash geq\; f(x)\; +\; f(y)$ for all ''x'', ''y'' $\backslash isin$ ''R''^''k'', where ''x'' $\backslash vee$ ''y'' denotes the componentwise maximum and ''x'' $\backslash wedge$ ''y'' the componentwise minimum of ''x'' and ''y''. ¹

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