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A recently established version of the discrete-ordinates method is used to develop a solution to a class of problems in the theory of rarefied-gas dynamics where temperature and density effects are coupled.
Here, we employ a simple but widely used scale of life satisfaction (LS) as a proxy for aspects of wellbeing such as happiness and pleasure [ 28] and, for mental wellbeing (MWB), an established shortened version of the Warwick-Edinburgh Mental Wellbeing Scale (SWEMWBS) [ 29].
To test the feasibility and validity of an online version of an established interview designed to determine a lifetime history of traumatic brain injury (TBI).
A modified version of an established, critical-size, femoral defect rat model [ 14, 16, 30], was used in this study.
Following Agrobacterium-mediated transformation of leaf explants with gene constructs carried by Gateway® vectors, plants were regenerated using a modified version of an established 'Hawaii 4' protocol.
We have used a slightly modified version of an established protocol for IVND of hESCs, that is based on the dual inhibition of the SMAD pathway.
To induce LTP, a modified version of an established tetanus protocol (Emptage et al., 2001) consisting of a series of 5 tetani (100 Hz for 1s; 1.5s intertetanus interval) was applied to the Schaffer collaterals.
The methodological quality of the selected studies was assessed using a 12-item standardized checklist of predefined criteria which was a modified version of an established criteria list for systematic reviews (Table 1) [ 13, 14].
Beiranvand, Moradi, Omid, and Pazandeh [7] introduced the notion of a T-contraction and established a version of the Banach contraction principle.
Recently, Móricz et al. [4] introduced the concept of blockwise M-dependence for a double array of random variables and established a version of the Kolmogorov SLLN for double arrays of random variables which are blockwise M-dependent.
Halburd and Korhonen [4, 5] established a version of Nevanlinna theory based on difference operators.
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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