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Unit cell model analyses are carried out for a material with a periodic array of voids, subject to shear loading.

Full three dimensional numerical cell model analyses are carried out for a metal reinforced by short fibers, to study the development of ductile matrix failure.

Numerical, axisymmetric cell model analyses are used to study the growth of voids in ductile metals, until the mechanism of coalescence with neighbouring voids sets in.

Thermal stability tests on rheology, filtration, water activity and lubricity at ambient temperature to 130 °C, along with pressure transmission tests and rheology model analyses are performed to evaluate the comprehensive properties of the nano-silica and Pure-bore additives based brine mud (NPBM).

Details of the model analyses are provided in Text S1.

The covariates that we chose for the multivariate mixed linear model analyses are known to be or likely to be associated with T4 or TSH.

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Actor-Partner Interdependence Model analyses were conducted.

Mixed model analyses were performed with STATA software (release 13; StataCorp., College Station, Texas, USA).

Rasch model analyses were essential to create these reading comprehension measures that make it possible to assess large student samples and compare performances from second to fourth grade.

These nested model analyses were re-run on age- and nonverbal reasoning- adjusted scores.

Mixed branch length model analyses were conducted in both ML and BI frameworks using previously described software [47].

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