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The linearized model is approximated around upright position and identified.
The total actuator coupling is approximated around 10%, based on the good agreement between simulated and measured inter-actuator stroke.
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Then, by a suitable transformation of variables, this peak position is taken to be 0; further, the form is approximated by Gaussian distribution around the origin to give the following equation (1) P (x i, a ) = N 0 e x p (− x i 2 2 α i + C i x i a − a 2 2 μ ). with N0, a normalization constant so that ∫ P (x : a) dx = 1.
The Hamiltonian of the ion-bound site in vacuum is approximated as a generalized Hessian around the minimum energy configuration.
On this basis, the physical system of a turbulent flow around a body is approximated by an artificial black box model.
For weak perturbation of the system by additive noise, [244] find that the heteroclinic cycle is approximated by a roughly periodic transition around the cycle whose approximate period scales as the logarithm of the noise amplitude.
It is approximated using a fourth order polynomial function around the fitted value for each parameter [ 41].
The output size is approximated.
Using this estimate, the plasma CQ levels may be approximated to be around 1 μM in both P. berghei and P. yoelii mice after a single 50 mg/kg dose, a concentration sufficient to trigger DV permeabilization in vitro.
Every rotation, expressed by its quaternion values, can then be approximated by a rotation around the vertical axis [0 0 ± 1] T or in aeronautics terms rotations are limited to yaw.
individually and, secondly, be approximated by a Taylor series around ([boldsymbol {mu }_{mathbf {x}|k_{n}}, boldsymbol {mu }_{mathbf {h}}, boldsymbol {mu }_{mathbf {c}}]phantom {dot {i}!}), where (boldsymbol {mu }_{mathbf {x}|k_{n}}phantom {dot {i}!}) denotes the mean of the component (p(mathbf {x}_{n} | k_{n} phantom {dot {i}!}).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com