In R-MGAPSO, the techniques of variable-length individuals and the local version of particle swarm optimization are incorporated into a genetic algorithm, where individuals with the same length constitute the same group, and there are multigroups in a population.
Utilizing the infinite circular cylinders solution based on the technique of variables separation, a general solution is developed to analyze the vibration of finite circular cylinders.
Furthermore, the technique of variable transformation is also discussed when a state variable is not conserved along with the motion of the body.
Using a mathematical model of heat transfer of attached underground Engineering Envelope, the calculation area is divided into 13 rectangular blocks according to the Interzone Temperature Profile Estimation (ITPE) technology, and the solutions are obtained for all the parts using the technique of variable separation.
However, neither of the two studies extracts from groups, constructed from the p-value, the "best" subset explanation for the phenotype and this was accomplished by applying the technique of variable selection wrapper based on the prediction error of the SVR as fitness GA.
For this reason, we investigated whether inclusion or exclusion of individual variables (using the "jackknife by variables" technique), and groups of variables (using the "bootstrap by variables technique") materially affect the analysis results.
By utilizing the technique of instrumental variables, bias from multiple noise sources can be robustly corrected without computing the parameters of the noise distribution.
Here positive or sign-changing solutions were obtained by using a constrained minimization argument, or a Nehari method, or a technique of changing variables.
The technique of separation of variables is used to derive explicit particular solutions for constant coefficient, singularly perturbed partial differential equations (PDEs) on a rectangular domain with Dirichlet boundary conditions.
These algorithms were then compared to determine the technique and set of variables demonstrating the most accurate prediction.
The starting point is the computation of the density of an image measure, via standard change-of-variable techniques: if (T Omega rightarrow Omega ) is a map smooth enough12 and injective, and (det (DT x))ne 0) for a.e.
