In particular, we give a reasonable analytic interpretation to a probabilistic approach to the Dirichlet problem.
It provides suitable theoretical structure, empirically validated models and reasonable analytic-numerical computation method, and can be developed into various Bayesian forecasting approaches.
The author believes that any reasonable analytic approach for defining signatures that yielded numbers of genes comparable to those in Table 2 would have resulted in the same overall patterns of enrichment being observed between the signatures and the human tumors.
Data sets such as graphs are growing so rapidly that performing meaningful data analytics in reasonable time is beyond the ability of common software and hardware for many applications.
The results are in reasonable agreement with the analytic solutions from the ORNL.
It was demonstrated that the process windows for a successful part forming could be rapidly predicted with a reasonable accuracy by the analytic model compared to lengthy and costly thermo-mechanical FEA or experimental trial and error.
In order to get reasonable and precise dynamic analytic result, the fractal theory is employed here to express the backlash instead of the existed way of setting backlash as a fixed value or a steady random number that meets the normal distribution.
