KnowraMonotone functionLinked fromLinked fromThe 9 pages that link to Monotone function, each with the reason it gives.All 9Broader topic 2Related 6Narrower topic 1PreorderRelated: Monotonicity generalizes naturally to maps between preordered sets.Abstract interpretationRelated: Monotone transfer functions make iterative analysis equations amenable to fixpoint reasoning.Order theoryRelated: Order-preserving maps carry comparisons from one structure to another.Kleene fixed-point theoremRelated: Scott continuity includes monotonicity, which makes the iterates increase from the least element.Absorption lawRelated: Meet and join behave monotonically with respect to the lattice order.Integral test for convergenceRelated: The function must decrease so its graph bounds the series terms by adjacent rectangles.