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Examples show that the proposed basis functions provide more flexibility for curve design.
Then, in the second subdomain, which is outside the vicinity of the singularity, the resulting problem is treated via employing the proposed basis.
The utility of the proposed basis functions in identifying the HRF is demonstrated by estimating the HRF in different activated regions.
The properties of the proposed basis functions and the corresponding piecewise polynomial curve with n − 1 local shape control parameters are analyzed.
In Section 3, the operational matrix of derivative of the proposed basis together with collocation method are used to reduce the nonlinear singular ordinary differential equation to a nonlinear algebraic equation that can be solved by Newton's method.
The most influential recent defence of the 'harm principle' from a theorist with a reason-sensitive account of morality is that of Joseph Raz (Raz, 1986).[5] I shall come in a moment to Raz's proposed basis for the harm principle.
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Firstly, by using the reciprocally convex method and a novel fuzzy Lyapunov functional, the proposed basis-dependent condition is utilized to guarantee that the filtering error system is mean-square asymptotically stable with a pre-specified H∞ performance.
A possible formation mechanism of 3D hierarchical architecture was proposed on basis of time dependent experiments.
A framework for assessing robustness is proposed, taking basis in decision analysis theory.
3D permeability tensor model for fractured media is proposed on basis of the co-ordinate transformation principle.
A mechanisms is proposed on basis of both rate equations and other types of information published in the literature.
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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