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The model is based on the multiplicative decomposition of the deformation gradient.
The formulation of the rate equations is performed in the spatial configuration based on the multiplicative decomposition of the deformation gradient.
The algorithm is developed based on the multiplicative decomposition of the deformation gradient into an elastic part and a swelling part.
Once a nominal model has been chosen, an initial design of the weighting matrices based on the multiplicative output uncertainty is proposed.
Moreover, the relaxation and/or creep response is based on the multiplicative viscoelastic split of the deformation gradient combined with the assumption of viscoelastic potentials for each compound.
The model was derived from a thermodynamic framework and was based on the multiplicative split of the deformation gradient in the context of hyperelasticity.
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The first model uses a special definition of distances between points in space and is based on the idea of multiplicative cascades which originated in theory of turbulent motion.
However, these methods are based on the assumption that multiplicative and additive noises are mutually independent and mixing.
Our method is based on the Blaschke-Potapov multiplicative factorization theorem for inner matrix-valued functions, which has been applied in the past to analog electronic networks.
The estimated survival functions, based on the additive and multiplicative hazards models from our data, were similar.
Figures 1a-d show the estimated survival functions, based on the additive and multiplicative hazards models with a varying baseline and common coefficient effect were very similar.
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