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When the beam is subjected to a moving load, the dynamic deflections of the beam are computed by using a Galerkin finite element formulation, and the time differential terms are integrated by using the implicit direct integration method.
The coupled nonlinear ordinary differential equations obtained by the Galerkin approximation are integrated by using the conditionally stable explicit algorithm.
The two scales are integrated by using the precautionary principle to merge the individual capture probability plumes corresponding to the different scenarios.
The horn and the loaded dielectric are integrated by using the same single substrate resulting in easy fabrication and low cost.
It only takes around 1.5 seconds when F2 is used, and it increases to about 12.54 seconds when three biological networks are integrated by using F3, which is almost the same as the DIR algorithm (11.52 seconds).
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Then, the equation can be integrated by using this first integral, and the exact solution of the equation can be obtained.
The TIACs of the urinary bladder contents were integrated by using a trapezoidal integration method and assuming physical decay after the last data point.
Eluents were detected by a variable wavelength ultraviolet (UV) detector at 340 nm, and peaks were integrated by using a HP3395 integrator.
The system of PDEs is integrated by using the same dt.
The ontologies in the OBO can be integrated by using BIOTOP as a common top level ontology.
The final set of ordinary differential equations in time can be integrated by using a total variation diminishing (TVD) Runge-Kutta scheme [20].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com