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Genetic interactions were quantified with the nonscaled multiplicative definition of epistasis, ϵ = Wxy-WxWy[ 35].
Jost (2008) also used a multiplicative definition of diversity to propose a pair of new differentiation indices that have the feature of reaching their maximum value if and only if each allele is private to a single subpopulation.
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We focus on the time spent in computation and the load balancing properties when processors are running at different speeds, i.e. correlated by a multiplicative constant factor (our weak definition of heterogeneous platform).
Furthermore, based on the new definition of the multiplicative consistent IFMPR, we develop several max-min programming models to derive the weights of criteria, and then propose a consistency ratio to check the reliability of the derived results.
We propose a new definition of the Gaussian multiplicative chaos and an approach based on the relation of subcritical Gaussian multiplicative chaos to randomized shifts of a Gaussian measure.
By the definition of the first multiplicative Zagreb index, we have (16).
We use new multiplicative factor φ ( t ) in the definition of the function Q ( t ) in Lemma 4.
By the definition of the second multiplicative Zagreb index, we have ∏ 2 ( G 1 ⊠ G 2 ) = ∏ ( u i, v j ) ( u k, v ℓ ) ∈ E ( G 1 ⊠ G 2 ) ( d G 1 ( u i ) + d G 2 ( v j ) ) ( d G 1 ( u k ) + d G 2 ( v ℓ ) ).
To achieve this, we consider two positive mutually conjugate numbers l and l ∗, i.e. l > 1 and l ∗ = l l − 1. (ii) We relax the condition on the commutativity of the composition of σ and τ if x is an increasing function in Lemma 3. (iii) We use new multiplicative factor φ ( t ) in the definition of the function Q ( t ) in Lemma 4.
This paper first analyzes the current definition of acceptable consistency for interval multiplicative comparison matrices (IMCMs) and shows its technical deficiencies.
The first model uses a special definition of distances between points in space and is based on the idea of multiplicative cascades which originated in theory of turbulent motion.
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