Sentence examples for hence a function of from inspiring English sources

The derivation of the Laplacian matrix, L, by Levin et al. [28] is also based on the color line model and hence a function of the color ellipsoid properties.

Similar to prior works (Chen and Shakhnovich 2009; Goldstein 2011; Wylie and Shakhnovich 2011), we assumed that the fitness of the organism is proportional to the total number of folded Mb proteins in the cell and hence a function of the folding stability of Mb (Materials and Methods).

We assume that the dynamic cost is symmetric in its dependence on production and degradation, and hence a function of E ˙ 2. Furthermore, when the cell is not dedicating any dynamic resources to the maintenance of protein levels, the dynamic cost reaches a minimum.

Hence is a function of strong contractive factor.

The expression (40) shows that the local equilibria are linear functions of the actual wavefunction ψ, hence itself a function of space and time.

Hence, as a function of α, the functions Ψ − α ( x, t ) ( x, t ∈ R ˜ q ) can be analytically extended by defining its values when ℜ α ≥ 1 by the left-hand sides of (4.6 - 4.9 4.6 - 4.9

Note also that x0 may be parametrised and hence is a function of p. Equation (1) is referred to as a model structure, which is denoted ℳ.

Hence, as a function of t k, (8) leads to the uniform density p (t k | ⋆ ) = 1 min (y i | w i = k + 1 ) − max (y i | w i = k ).

Hence, as a function of γ c, Equation (A.1) leads to the uniform density P (γ c | E L S E ) = 1 min (l i j | y i j = c + 1 ) − max (l i j | y i j = c ) I (γ ∈ T ) (A.2) Equation (A.2) corresponds to a uniform distribution on the interval [ min { min   (l i j | y i j = c + 1 ), γ c + 1, γ max }, max { max (l i j | y i j = c ), γ c − 1, γ min } ] (Albert and Chib 1993; Sorensen et al. 1995).

Hence, S is a function of age of sexual maturity, size of progeny sets, and reproductive span.

As such, microparasites can be ranked based on the likelihood that they cause damage, and hence disease, as a function of the magnitude of the host response (Casadevall and Pirofski 1999).