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The magnitude of rotation angle is computed by integrating the gradient of the fitness function.
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The gradient at each point is calculated from the normal vector, and the surface profile is then obtained by integrating the gradients.
The surface profiles of the mirrors were obtained by integrating the interpolated gradient.
The pressure fields are reconstructed by integrating the pressure gradients using an analytic interpolation approach.
The governing equilibrium equations can be derived from Eq. 26, by integrating the displacement gradients by parts and setting the coefficients of δu 0, δv 0, δw 0, and δθ x,y to zero (Ferreira and Roque 2007, 2009).
This microfluidics exploited the advantage of lab-on-a-chip technology by integrating the generation of chemical concentration gradients and a series of cell operations including seeding, culture, stimulation and staining into a chip.
This microfluidics exploits the advantage of lab-on-a-chip technology by integrating the generation of drug concentration gradients and a series of cell operations including seeding, culture, stimulation and staining into a chip.
Finally a hybrid algorithm is developed to improve the efficiency of the stochastic scheme by integrating the Gibbs sampler-based method with the deterministic gradient-flow method.
The first one is the network model which establishes the relationship between the macroscopic deformation gradient F and the microscopic response obtained by integrating the response of the fibers in the mesodomain.
A gradient-based aerodynamic optimization system is established by integrating the blade stagger angles, the stacking lines and the passage perturbation parameterization with the quasi-Newton method of Broyden Fletcher Goldfarb Shanno (BFGS).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com