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This point of view needs some explanations will elucidate the target of the suggested improvement, among them: (1) When the Riemann-Liouville (RL) integral emerges in the constructed correctional functional, the integration by parts is difficult to apply; (2) To avoid this problem, the RL integral is replaced by an integer one which allows the integration by parts.
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Due to the material inhomogeneity and inertial effect, two domain integrals emerge in the boundary domain integral equation formulation.
In case of the V-type graphs with five massive propagators, new types of nested sums and iterated integrals emerge.
Finally numerical examples demonstrate that the new algorithms presented in the current paper can effectively handle singular and near singular integrals emerging in the boundary layer effect and the thin body problems in BEM.
Namely, that integral coincides with the integral which emerges on the right-hand side of (11), such that r:=1/(1+κ)−1↑+∞ and w=1/(r·z).
Throughout the documentary film making process, the concept of visualization quickly emerges as integral to the essence of the concept of the film itself, and infinitely frustrating as one of the major obstacles to creating a successful film.
The organization of the engagement between Ire1 and its mRNA substrate(s) into multiple steps, that is targeting, docking, priming, and cleavage, thus emerges as integral to upholding selectivity and efficiency of Ire1-mediated mRNA processing and, hence, of UPR signaling.
Phipps is an author, journalist, and contributor to the emerging "integral" or "evolutionary" cultural movement that combines the insights of Integral Philosophy, evolutionary science, developmental psychology, and the social sciences.
Leadership and the active engagement of emergency medical professionals, who are on the front lines of combating the scourge of TBIs, are integral to the emerging future landscapes of TBI care.
Health promotion interventions that aim to modify environmental factors that influence behaviour have now become an integral focus of emerging research being undertaken in the school environment.
The formula is applied for evaluating some kinds of integrals that frequently emerge in a number classical mathematical subjects in the framework of differential equations, numerical methods and control engineering applications.
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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