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The problem of determining the minimal surface for a given boundary had first been posed by the Swiss mathematician Leonhard Euler and the French mathematician Joseph-Louis Lagrange in 1760.
A modified genetic algorithm is used to maximize the objective function which is defined as the net heat rate from the fin surface for a given length.
A rotating disk equipped with more vanes can generate higher shear stress on the membrane surface for a given rotation speed.
Data obtained indicate that the presence of a grounded backing plate close to a charged plastic surface has a significant effect on the resultant electrostatic discharge from the surface for a given initial surface charge density.
This paper considers the problem of selecting a sliding surface for a given system in an optimal way such that the performance of the reduced order system is balanced against the control costs required to maintain sliding.
A pair of thermocouples of chrome-alumel type (K-type) has been used for measuring the temperature between the metal surface and ceramic coated surface for a given heat input value.
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Because the nomogram represents a linear relationship between application rate and maximum residues, it can be used to estimate the maximum residues on plant surfaces for a given application rate (Fletcher et al. 1994).
where A is the area of a 1 × 1 surface cell for a given surface orientation n.
The tiniest particles are not just smaller than other pollutants; they have more surface area for a given weight imagine the difference between the surface area of a solid glass cube compared to that of an equal weight of fine glass beads.
Absorbents are natural or synthetic substances with crystalline structure presenting a high surface area for a given mass.
A sphere has the smallest possible surface S for a given volume V for which ASP = 0 by definition [15].
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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