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Using Lemma 1, the distribution of the SCN under (mathcal {H}_{1}) hypothesis could hence be approximated by the distribution of the SCN of complex semi-correlated Wishart matrix with a proper correlation matrix.
The results provide a guide to choosing a proper correlation for engineering practice.
Extensive work is however still necessary to establish a proper correlation between selective etching and those techniques.
How to select a proper correlation function for a particular site has been a challenging task, particularly when only a limited number of project-specific test results are obtained during geotechnical site characterization.
For many reactions, a pipe flow reactor and a cascade of ideally mixed reactors yield similar results, if we use a proper correlation between the Bodenstein number of the pipe flow reactor and the number of stages for the cascade.
Except for Tb,av, which needs to be estimated as shown in the following, the others parameters, if an adequate correlations for Nu is introduced in St and a proper correlation is used for f, are all function of the velocity.
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The time synchronization of these channels is crucial to obtaining a proper temporal correlation among the samples of all of the channels.
Only a friendly receiver knows the exact value of this delay, and thus an unfriendly receiver will not be able to perform the proper correlation to decode the hidden message.
A sample size of 50 participants was considered adequate to power the study, to obtain proper correlation data as used in concurrent analysis, 26 while a sample of 27 participants was calculated for κ agreement data (CI 0.3; expected percentage agreement (PA) 0.8 and chance agreement 0.5) used in reliability statistics.
Best practices for use of this algorithm in reactor design were identified and indicated the importance of selecting proper correlation functions.
Mr Herbert submitted that there was no proper correlation between the risk of swimming in this pond and the risk of swimming in the sea or any other open water.
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