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That is, with proper condition, any function or functional can be approximated with it, and it is very simple to handle algebraically.
The functions l and Φ in the cost functional can be quadratic functions of x, which generalizes the corresponding assumptions in [14, 18, 21] and some other papers.
In contrast to the statistical approach based on statistical hypothesis testing, our approach is based on the fact that the subspace migration imaging functional can be expressed by a linear combination of the Bessel functions of integer order of the first kind.
Furthermore, the functional can be extended to the space, and there exists a function, so that for every,.
That being said, their main benefit is that any arbitrary energy functional can be plugged into the algorithm without the need for complex symbolic derivations.
This functional can be solved analytically for the case of the Hagen Poiseuille channel flow of non-Newtonian fluids.
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Nonquadratic Liapunov functionals can be developed for nonlinear problems.
Additionally, linear-system solvers based on the minimization of functionals can be easily employed.
It is expected that such deficiencies in B86-based functionals can be largely corrected in the manner presented.
Concretely, an inverse problem for linear functionals can be stated as follows.
Finally, we show the extent to which Minkowski functionals can be used to predict tumour grade.
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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