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Numerical integration was performed using compiled MEX files using numerical integrators from the SUNDIALS CVode package (Lawrence Livermore National Laboratory, Livermore, CA).
Integration was performed with the ode45 MATLAB function which integrates the differential equation with a Runge-Kutta (4,5) integration scheme.
Integration was performed with a Microsoft Excel macro.
In the next step, data integration was performed using fuzzy logic technique.
Signal integration was performed with HP Chemstation software (A.06.03, Agilent Tech).
Brillouin zone integration was performed using a 3 × 3 × 1 Monkhorst Pack grid.
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Another model for describing the experimental outcome is the Weakest Link (WL -integral WL -integraltegration is performed over the specimen surface area or the specimen volume.
Whenever a finite integration is performed, the convergence of the integrator needs to be considered.
The integrator assumes that irregular samples are uniform, and then, integration is performed.
The integration is performed over all spaces.
Heat integration is performed on the best selected process technology.
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