Definitions for supermodular function
su·per·mod·u·lar func·tion

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1. Supermodular function

   In mathematics, a function f : R k → R {\displaystyle f\colon \mathbb {R} ^{k}\to \mathbb {R} } is supermodular if f ( x ↑ y ) + f ( x ↓ y ) ≥ f ( x ) + f ( y ) {\displaystyle f(x\uparrow y)+f(x\downarrow y)\geq f(x)+f(y)} for all x {\displaystyle x} , y ∈ R k {\displaystyle y\in \mathbb {R} ^{k}} , where x ↑ y {\displaystyle x\uparrow y} denotes the componentwise maximum and x ↓ y {\displaystyle x\downarrow y} the componentwise minimum of x {\displaystyle x} and y {\displaystyle y} . If −f is supermodular then f is called submodular, and if the inequality is changed to an equality the function is modular. If f is twice continuously differentiable, then supermodularity is equivalent to the condition ∂ 2 f ∂ z i ∂ z j ≥ 0 for all i ≠ j . {\displaystyle {\frac {\partial ^{2}f}{\partial z_{i}\,\partial z_{j}}}\geq 0{\mbox{ for all }}i\neq j.}

WikidataRate this definition:0.0 / 0 votes

1. Supermodular function

   In mathematics, a function is supermodular if for all x, y R, where x y denotes the componentwise maximum and x y the componentwise minimum of x and y. If −f is supermodular then f is called submodular, and if the inequality is changed to an equality the function is modular. If f is twice continuously differentiable, then supermodularity is equivalent to the condition

How to pronounce supermodular function?

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How to say supermodular function in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of supermodular function in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of supermodular function in Pythagorean Numerology is: 4

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Supermodular_Function
2. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=supermodular function