Sentence examples for functional forms which from inspiring English sources

There are many functional forms which can be used as damping models.

These functional forms, which with the exception of Whitson et al. (Whitson, C.H., Fevang, O., Saevareid, A., Oct. 1999. Gas condensate relative permeability for well calculations, SPE 56476.

Hence, the model refinement takes care of possible combinations of parameter inputs for a particular model and ultimately chooses the parameters and their particular functional forms, which are most influential in that particular incidence pattern.

This problem can be addressed by a simple functional form, which relates variance of the consumption function to household characteristics as follows: σ ϵ, h 2 = X h θ + η h (4).

We used a Translog functional form which assumes inputs in levels, squares and cross variables.

The main reason for the success of the TL is its flexible functional form which does not impose any prior constraints on the elasticities.

Most works reported in existing literature have been based on the assumption that the probabilistic properties and statistical parameters have a known functional form, which is usually not the case.

Ideally, the exactness should hold under flexible functional forms such as the translog functional form, which imposes the minimum on the underlying production technology.12 However, we leave the search for such superlative index number formulae of the comprehensive wage effect for ULC change to future research.

This study uses a translog functional form, which has independent variables that are at least equal to 1/2(n + 2)(n + 1) and fulfil the second-order flexibility condition (Diewert [1974]): ln y k = β 0 + ∑ i = 1 n β i ln x k, i + 1 2 ∑ i = 1 n ∑ j = 1 n β i, j ln x k, i ln x k, j + v k − u k (3)as well as the theorem by Young that entails the symmetry of all Hessians (β ij  = β ji ).

The analysis was applied first to node-negative cases ("training set") in order to find a simple expression of the functional form which relates age to mortality.

Cross country studies like this typically use this functional form, which can be interpreted as the downward sloping part of a long-run cost curve.