monotonicity

monotonicity
noun see monotonic

New Collegiate Dictionary. 2001.

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  • Monotonicity of entailment — is a property of many logical systems that states that the hypotheses of any derived fact may be freely extended with additional assumptions. In sequent calculi this property can be captured by an inference rule called weakening, or sometimes… …   Wikipedia

  • Monotonicity criterion — This article is about a voting system criterion. See monotonic function for a mathematical notion. The monotonicity criterion is a voting system criterion used to analyze both single and multiple winner voting systems. A voting system is… …   Wikipedia

  • monotonicity — noun a) The state of being monotonic. b) Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must… …   Wiktionary

  • monotonicity — …   Useful english dictionary

  • Monotonic function — Monotonicity redirects here. For information on monotonicity as it pertains to voting systems, see monotonicity criterion. Monotonic redirects here. For other uses, see Monotone (disambiguation). Figure 1. A monotonically increasing function (it… …   Wikipedia

  • Instant-runoff voting — Example instant runoff voting ballot …   Wikipedia

  • Monotone cubic interpolation — In the mathematical subfield of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data set being interpolated. Monotonicity is preserved by linear interpolation but not… …   Wikipedia

  • Mechanism design — The Stanley Reiter diagram above illustrates a game of mechanism design. The upper left space Θ depicts the type space and the upper right space X the space of outcomes. The social choice function f(θ) maps a type profile to an outcome. In games… …   Wikipedia

  • Godunov's theorem — Godunov s theorem, also known as Godunov s order barrier theorem, is a mathematical theorem important in the development of the theory of high resolution schemes for the numerical solution of partial differential equations.Professor Sergei K.… …   Wikipedia

  • Galois connection — In mathematics, especially in order theory, a Galois connection is a particular correspondence between two partially ordered sets (posets). Galois connections generalize the correspondence between subgroups and subfields investigated in Galois… …   Wikipedia

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