supermodular

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adjective

having the property that f(x∨y)+f(x∧y)≥f(x)+f(y) for all x, y isin Rᵏ, where x ∨ y denotes the componentwise maximum and x ∧ y the componentwise minimum of x and y.

Opposite
submodular
Scrabble 17
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Meanings

adjectivesupermodular (not comparable)
  1. not comparablemathematicshaving the property that f(x∨y)+f(x∧y)≥f(x)+f(y) for all x, y isin Rᵏ, where x ∨ y denotes the componentwise maximum and x ∧ y the componentwise minimum of x and y.

Synonyms & antonyms

Opposite
submodular

Origin

From super- + modular.

Full word history & related roots →
Cite this entry
APA

supermodular. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/supermodular

MLA

“supermodular.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/supermodular. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “supermodular,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/supermodular.

Source: supermodular on Wiktionary, CC BY-SA 4.0.