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The solution proportional to e + r, which is abandoned as a solution for molecular hydrogen in a vacuum, is allowed for H2 in the C60 cage.
On the interface (Gamma^{varepsilon}=partialOmega_{2varepsilon}) separating the two components, we prescribe the continuity of the conormal derivatives and a jump of the solution proportional to the conormal derivatives through a function of order (varepsilon^{gamma }), meanwhile, a Dirichlet condition is imposed on the exterior boundary ∂Ω (see Figure 1).
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The paper also inspects the effects of the proposed controlling parameters on the difficulty of the test problems and the proposal of a novel penalty function to penalize the solutions proportional to their sensitivity to perturbations in parameters.
In our experience the balloon should initially be inflated using an amount of saline solution proportional to the diameter of the sinotubular junction (1 : 1) to avoid unnecessary overexpansion.
It is shown that the simulated linear flow rate of the solution is proportional to the voltage across the solution resistance in the power four and inversely proportional to the radius of the microelectrode.
In the analyzer, a precise amount of the suspect's exhaled breath is passed through a solution of potassium dichromate and sulfuric acid; the change in the colour of the solution is proportional to the amount of alcohol in the air sample, which, in turn, is directly related to the alcohol content of the blood.
The bound on the solution is proportional to the sampling interval and the magnitude of the switching gain.
The optical density of the solution is proportional to the number of viable cells (Carmichael et al, 1987).
The volume of the solution was proportional to the sample weight (as described in previous paragraph; aqueous extraction).
The dogs received a single, bilateral intratesticular injection of solution proportional to testicular width: animals with scrotal diameters of 19 22 millimeters (mm) wide received 0.8 mL injections, whereas animals with scrotal diameters of at least 23 mm wide received 1 mL injections [ 2].
And for small k, where populations is strongly sensitive to toxins, the solutions are proportional to sech 2 ( t ).
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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