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All presented equations and conditions are valid for tankers.
The observers being designed are local in the sense that relaxed asymptotic convergence conditions are sought locally, rather than globally, while also determining the region where the conditions are valid.
The confirmatory experiment conducted with the optimal conditions provided an extraction yield of 73.4 ± 1.2% for D24 and 62.3 ± 1.8% for H13, corresponding to the maximum and showing that these conditions are valid regardless the composition of the used barley.
In the Wilhelminenstollen, controllable hydraulic boundary conditions are valid.
We suppose that such conditions are valid: (i).
Assume that and the following conditions are valid: (224).
Similar(46)
Furthermore, it enabled us to deduce if the results recorded from other conditions were valid.
Suppose that and one of the following two conditions is valid: for ; for and is bijective.
Suppose that one of the following three conditions is valid: (i) for and ; (ii) for and is bijective; (iii)(ii) holds and.
If the same conditions were valid for human vessels, the higher concentration of the target enzyme in the MMA means that sildenafil should have had more effect there.
Many proposed solutions can work perfectly on detecting certain type of botnets as long as the expected pre-conditions are valid.
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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