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A self-similar solution for comminuted particles is shown to be a useful representation for the solution of the population balance equation provided that this equation is solved over a sufficiently long time interval.
Defining a useful representation for the underlying scene may be difficult, and due to effects such as parallax and occlusions, it may seem impossible to find a linear mapping from any such representation to the measurements.
A useful representation for the EGG pdf (x>0) follows by applying (7) in Eq. (4) begin{array}rcl@ f(x p,alpha,{boldsymbol{tau}})=sum^{infty}_{j=0}w_{j},g_{(j+1)alpha,{boldsymbol{tau}}}(x), end{array} (8).
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EI-OSM was evaluated with teachers (n = 8), who found the proficiency map to be a useful representation for understanding strengths and weaknesses, especially the colour of nodes to represent proficiency level, the relationships displayed between the nodes and the possibility of being able to create instructional paths after seeing the learner models (Zapata-Rivera et al. 2007).
For these reasons, we consider the CAT to be another useful representation for exploring team cognitive work.
We argue that trees may still be a useful representation for evolutionary histories in light of new data.
Trajectories of the number of trees against mean tree diameter, number of trees against mean tree height, or stand basal area against stand age may serve as useful representations for guidelines.
Some useful representations of the scattered field are proposed.
Two useful representations of the Walsh basis - Paley ordering and the Hadamard representation - are introduced.
We provide some special models, a very useful linear representation for the density function in terms of exponentiated densities, explicit expressions for the moments, generating function, entropies and order statistics.
Two special cases of this family are presented in Section 3. The density and hazard rate functions are described analytically in Section 4. A useful mixture representation for the pdf of the new family is derived in Section 5.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com