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An ensemble of many realizations of the random process can be used to define statistical averages or expected values that are deterministic quantities.
In fact, instead of considering only one image for each application, many realizations of the same image fused together may be very helpful to the segmentation process.
Thus, in many realizations of a generalized 2-state system (generalized spin (hat {sigma }_{z})), there is a "natural" choice of such states [14].
We therefore are interested in expectation values over the pattern size distribution to be able to account for average connectivities over many realizations of the network.
In principle, only one image is considered for each application, whereas many realizations of the same image fused together may be very helpful for the segmentation process.
In the first part of our study, the resulting received SINR against η for many realizations of channel matrices and for various values of transmitted SNR is computed under different network's configurations.
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The spatial variation of hydraulic conductivity within the flow model was based on one realization of the spatial distribution of hydrofacies selected from a set of many realizations (Burow et al. 2008) that was constructed with a three-dimensional hydrofacies model using the program TPROGS (Carle et al. 1998).
Alternatively, one may be studying data sets from the output of a generative model (e.g., many realizations from a model of random networks), and it is then necessary to average results over multiple realizations.
This means that we can not compare a single realization with a higher order continuum but rather we need to average over an ensemble of many realizations: The ensemble average restores the statistical homogeneity and isotropy of material behavior.
Many different realizations of Smart Home systems have been introduced in the past but none of them become popular.
Monte Carlo simulation is then used to repeat this process for many different realizations of conditions, resulting in a modeled relationship between yield patterns and the relative importance of soil and management yield constraints, both of which can be computed in the controlled simulation environment.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com