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For all transition probability variables, where applicable, the assumption of parity between IR-MPH and XR-MPH was made based on data published from head-to-head trials of treatments [ 24, 26].
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The stabilizing algorithm, we develop here, is applicable under the assumption that the system {∂ϕj∂n}j= 1N is linearly independent on the part of the boundary where the control is applied.
This leads to a Lyapunov-Schmidt type reduction of the periodic problem (see [1], [3] for more details), which is known to be applicable on the assumption that f ( t, ⋅ ) ∈ Lip K ( D ) for a.e. t ∈ [ 0, p ], (6).
Our model is applicable wherever the assumption of neutrality can be assumed for pedigree studies of any species where multiple copies of the mitochondrial genome are inherited, and a sufficient number of heteroplasmies are observed.
Note that for the approaches mentioned above to be applicable, the massive denseness assumption is required for the validity of some mathematical properties such as continuity or differentiability.
Nonetheless, we compared the concentration of metals in the biopsies of victims with the minimal risk level (MRL) reported by ATSDR [ 27], for the cases where this is available and applicable, and based on the assumption that the amount of metal embedded in wounds is the minimal absolute amount the victim might have assumed via inhalation.
This observation makes the assumption generally applicable for WBANs which usually have a small network diameter [19, 21].
Having said that, the assumption is applicable in situations where the geothermal fluid is highly supersaturated and viscous, where advection plays a little role (i.e., slowly moving fluids and sluggish kinetics).
We recoded this small number of "not applicable" values as "no" on the assumption that any items not coded as "yes" were lacking appropriate documentation of the specified measures.
Finally, we prove non-trivial lower bounds applicable to many interesting CSPs, under the assumption that certain complexity-theoretic assumptions hold.
Management agencies tended to use the 50/500 rule under the assumption that it was applicable to species generally.
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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