Examples of monotonicity

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This monotonicity ceases to hold for doubly-connected regions.
We start by presenting some articles investigating monotonicity results for models without reneging.
Another technique that exploits the potential benefits of non-monotonicity uses the idea of filters.
Finally, we discuss some monotonicity issues which arise naturally for this model.
Concerning the monotonicity properties, few results were derived.
We also assume additional conditions on regularity and monotonicity.
Our tools include an improved monotonicity result for the period function of the nonlinear oscillator.
The applicability of the monotonicity analysis is limited to the problems with a monotonic objective and monotonic constraints over the entire range of the variables.
Theorem 3 strengthens the result by adding a monotonicity assumption.
We first prove a monotonicity result for the function characterizing the wet region.
This condition is useful to guarantee strict monotonicity of the interpretation on terms.
However, the additional monotonicity hypothesis is unsound in general.
Moreover, studies that equate curvature alone with regularity seem to ignore or minimize the importance of monotonicity.
This definition is not entirely syntactic, but also depends on the monotonicity or antimonotonicity of aggregate symbols appearing in the formula.
Our generalization uses the assumption of the monotonicity of constraints and it employs the nondeterminism in deriving ways to satisfy constraints.

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