| The significance of monotonicity is that simple linear models are able to capture interaction effects and nonlinear effects amazingly well. |
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| In short, in ceasing to be homogenous, they cannot escape their own monotonicity. |
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| Knowing some of their properties, such as monotonicity, is often sufficient to constrain the behavior of the variables. |
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| This takes advantage of the better asymptotic properties of the difference in the log variances, as well as of the monotonicity of the transformation. |
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| The brief discussion above in Section 3.1 suggests that monotonicity may be an obstacle in pursuing this goal. |
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| In the technical literature, this is referred to as violating the monotonicity condition – the idea that if a candidate wins more support, this should not adversely affect his or her prospects. |
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| This property of logical entailment is called monotonicity. |
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| To clarify this issue, we carried out two tests of monotonicity based on posterior distribution analysis. |
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| Our method of the proof consists in proving a new monotonicity formula and an epiperimetric inequality. |
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| In 1974, Sugeno introduced the concept of fuzzy measure, which only make a monotonicity instead of additive property. |
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| Note that the scoring functions for both conjunctive and disjunctive queries for the fuzzy and probabilistic Boolean models satisfy the monotonicity property. |
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| Monotonicity and smoothness: do the response rates by quantile group form a smoothly decreasing profile? |
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