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Targets might be allowed to go to work under police scrutiny, or to travel within a fixed perimeter.
Then the results are validated using experimental data and benchmark code results in the literature for the Hencky problem (a circular membrane with a fixed perimeter and uniform inflation pressure).
Suppose that you have established that of all rectangles with a fixed perimeter, the square has maximum area.
In this analogical argument, the source domain is two-dimensional geometry: we know that of all rectangles with a fixed perimeter, the square has maximum area.
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In the center, a spherical section, representing a continent, cut from 'ancient' Earth and placed on the 'present' Earth, showing: (1) the curvature of the 'ancient continent' does not match the curvature of the 'present' Earth and (2) the 'ancient continent' has 'extra' surface area confined within its fixed perimeter.
The well-known classical isoperimetric problem says that the disc encloses the maximum area among all domains of fixed perimeters in the Euclidean plane R 2. Proposition 1 Let Γ be a simple closed curve of length P in the Euclidean plane R 2, then the area A of the domain K enclosed by Γ satisfies P 2 − 4 π A ≥ 0. (1).
The model shows that an increase in the Pt dispersion for a fixed Pt loading increases the interfacial perimeter between Pt and Ba, and has a significant effect on the regeneration kinetics.
A small escape platform (10 × 6.5 × 21.5 cm) was placed at a fixed position in the centre of one quadrant, 25 cm from the perimeter, and was hidden 1 cm beneath the water surface.
In a fixed coordinate system, the gyration tensor is a symmetric matrix, where and can take values corresponding to the two coordinates, defined as the center of mass is defined as in (2), and is the perimeter.
Set a fixed bedtime.
Have a fixed age.
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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