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As revealed by a forward solution restricted to the significant voxels depicted in Figure 1A, the left occipital sensor 125 (theta, phi [deg]: 136.2, −16.4) was most sensitive to this effect in sensor space.
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A forward solution for each source location was constructed using a boundary-element method.
As in other beamformer approaches, the SAM algorithm defines the signal of interest by the forward solution for a current dipole source at each target voxel.
We explicitly remark, moreover, that in order to perform the previous proof it is essential that (y_{c, f}^ u)) disconnects the square ([0, 1]^{2}) in the ((u, y))-plane, thus forming a kind of barrier which has to be crossed by the forward solution (y_{c, f}^ u)) (also this point is different from the classical case).
Then the inverse problem is solved: the sources of measured electric scalar potentials or magnetic fields are estimated by using the forward solution.
"It's difficult when surgery is being advertised as a straight forward solution.
This dipole mesh was used to calculate the forward solution using a spherical head model.
The forward solution is obtained by solving Eq. (1) by use of the finite element method (FEM).
In case still greater accuracy is required in the forward solution, information from an adjoint simulation can be added to extend the geometric learning of the forward solution.
The study of QNM is motivated by the expectation that forward solutions to ( Box _g u = f in {{mathcal {C}}^infty _{mathrm{c}}}( {mathbb {R}}times X ) ) have expansions in terms of ( u_k )'s and ( lambda _k)'s satisfying (3.49), begin{aligned} u left( t, r, theta, varphi right) sim sum _{ k } e^{ - i lambda _k t } u_k ( r, theta, varphi ), end{aligned}but the convergence and errors can be subtle.
By establishing the position equations of the mechanism and obtaining the forward solutions, a better decoupling of the mechanism was proved.
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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