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The numerical method uses a formulation in terms of arclength and tangent angle, and incorporates a new procedure to redistribute the computational points dynamically, in order to maintain resolution in regions of high curvature.
The upwind scheme uses a formulation of the HLLC flux applicable to moving meshes and several formulations for the stabilization operator to ensure that monotone solutions around discontinuities are investigated.
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In August 2006, the thwarted terrorists were planning to use "a formulation that was specifically put together to get around our screening measures," he said.
General Myers laid out the military's broad requirements for potential deployment to Liberia, using a formulation paralleling the so-called Powell doctrine, which Mr. Powell laid out when he was chairman of the Joint Chiefs from October 1989 to September 1993.
Before Kerry and Nader had their friendly and inconclusive chat, the presumptive Democratic nominee used a formulation to reporters that has traditionally been used to discourage the defection of party regulars: a vote for Nader would be the equivalent of a vote for Bush.
In one of Roberts's early civil-rights opinions as Chief Justice, a 2007 case in which he struck down the school-integration program in Seattle, he used a formulation that sums up his approach: "The way to stop discrimination on the basis of race is to stop discriminating on the basis of race".
In the late 20th century it was discovered that the herem pronounced against Spinoza used a formulation that was given to the Amsterdam Jewish community by the Venetian Jewish community in 1617 and was specifically intended for heretics.
For modeling such areas, it is considered to use a formulation based on social force models.
In this case, the artifact, calculated using a formulation presented by Kobayashi et al. [26], should be at most 8 cm at the elevation of 500 m.
In this paper, a method is presented to address the complex nature of the problem, while using a formulation that can be solved in a reasonable computing time.
The experiments using a formulation of the traveling salesman problem show that the algorithm can find reasonably good solutions for noisy objective landscapes with inexact derivatives information.
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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