Given a fixed packet length, we can achieve the corresponding optimum space ratio.
Joint decoders are also proposed, and we conjecture that these also achieve the corresponding joint capacities.
For generalizations of this model such as noisy group testing, the resulting simple decoders also achieve the corresponding simple capacities.
The considered strategy permits to obtain parameter estimation by means of the substitution method based on the empirical functional, and to achieve the corresponding variance estimator.
Heterogeneous porous scaffolds have important applications in biomedical engineering, as they can mimic the structures of natural tissues to achieve the corresponding properties.
The initial digital model for each patient was then virtually modified by two different modelling techniques to achieve the corresponding target model: parametric and freeform modelling with the software Geomagic®.
For the sake of simplicity, we only prove the results of one-sided inequality, that is, because we can achieve the corresponding results of two-sided inequality by using the standard method, it is not to go into details.
In the above-mentioned conclusions, only the Kolmogorov-type strong law of large numbers obtained by Matula [2], Theorem 1, and Baum and Katz-type complete convergence theorem obtained by Wu [6], Theorem 4, achieve the corresponding conclusions of independent cases, and the rest did not achieve the optimal results of independent cases.
The proposed validation process of a GOS tree resulted two set of weights separately for the objectives and the strategies that explained the importance of each of the strategies in achieving the corresponding objective and importance of each of the objectives in aligning towards the goal.
The goal is to recognize the kind of supersaturation profiles that lead to high quality protein crystals and to know how to achieve the corresponding evaporation kinetic profiles.
